expfmod (used to be hard to sample)

Time bar (total: 21.6s)

analyze252.0ms (1.2%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
50%50%50%0%0%0%0%4
50%50%50%0%0%0%0%5
50%50%50%0%0%0%0%6
50%50%50%0%0%0%0%7
50%50%50%0%0%0%0%8
50%50%50%0%0%0%0%9
50%50%50%0%0%0%0%10
50%50%50%0%0%0%0%11
50%50%50%0%0%0%0%12
Compiler

Compiled 12 to 9 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 125.0ms
ival-fmod: 43.0ms (34.3% of total)
ival-exp: 27.0ms (21.5% of total)
ival-cos: 15.0ms (12% of total)
ival-mult: 14.0ms (11.2% of total)
ival-sqrt: 14.0ms (11.2% of total)
ival-neg: 10.0ms (8% of total)
const: 1.0ms (0.8% of total)
backward-pass: 1.0ms (0.8% of total)

sample7.5s (35%)

Results
3.7s1561×5exit
1.5s4904×1valid
667.0ms1324×2valid
386.0ms3221×0invalid
311.0ms2028×0valid
Precisions
Click to see histograms. Total time spent on operations: 5.8s
ival-cos: 3.2s (54.8% of total)
ival-exp: 906.0ms (15.6% of total)
ival-fmod: 825.0ms (14.2% of total)
backward-pass: 327.0ms (5.6% of total)
ival-sqrt: 302.0ms (5.2% of total)
ival-mult: 156.0ms (2.7% of total)
ival-neg: 102.0ms (1.8% of total)
const: 13.0ms (0.2% of total)
Bogosity

preprocess27.0ms (0.1%)

Algorithm
egg-herbie
Rules
148×fma-define
114×sum3-define
92×fmsub-define
70×fnmadd-define
44×fnmsub-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01531
13531
28030
314130
422530
529630
633030
736830
849030
951630
1051730
0810
11510
2269
3329
4419
5479
6559
7649
8659
0659
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))
Outputs
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
Call 2
Inputs
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))
(* (fmod (exp (neg x)) (sqrt (cos (neg x)))) (exp (neg (neg x))))
(neg (* (fmod (exp (neg x)) (sqrt (cos (neg x)))) (exp (neg (neg x)))))
Outputs
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(* (fmod (exp (neg x)) (sqrt (cos (neg x)))) (exp (neg (neg x))))
(* (fmod (recip (exp x)) (sqrt (cos x))) (exp x))
(neg (* (fmod (exp (neg x)) (sqrt (cos (neg x)))) (exp (neg (neg x)))))
(* (fmod (recip (exp x)) (sqrt (cos x))) (neg (exp x)))

explain624.0ms (2.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1900-190(2.5101719147011633e-168)(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
20-0-(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
00-0-x
00-0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-(exp.f64 x)
00-0-(cos.f64 x)
00-0-(sqrt.f64 (cos.f64 x))
Results
424.0ms116×5exit
102.0ms290×1valid
46.0ms80×2valid
4.0ms26×0valid
Compiler

Compiled 73 to 26 computations (64.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 449.0ms
ival-cos: 303.0ms (67.5% of total)
ival-exp: 39.0ms (8.7% of total)
ival-fmod: 39.0ms (8.7% of total)
backward-pass: 32.0ms (7.1% of total)
ival-sqrt: 18.0ms (4% of total)
ival-mult: 12.0ms (2.7% of total)
ival-neg: 5.0ms (1.1% of total)
const: 1.0ms (0.2% of total)

eval0.0ms (0%)

Compiler

Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
6.2%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify4.0ms (0%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (cos.f64 x))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
cost-diff0
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
Rules
fmod-lowering-fmod.f32
cos-lowering-cos.f32
sqrt-lowering-sqrt.f64
exp-lowering-exp.f32
fmod-lowering-fmod.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0623
0623
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(fmod (exp x) (sqrt (cos x)))
(exp x)
x
(sqrt (cos x))
(cos x)
Outputs
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp x)
(exp.f64 x)
x
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(cos x)
(cos.f64 x)

localize281.0ms (1.3%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 x)
accuracy100.0%
(sqrt.f64 (cos.f64 x))
accuracy99.2%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
accuracy29.6%
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Results
193.0ms58×5exit
43.0ms145×1valid
22.0ms40×2valid
2.0ms13×0valid
Compiler

Compiled 25 to 7 computations (72% saved)

Precisions
Click to see histograms. Total time spent on operations: 215.0ms
ival-cos: 152.0ms (70.6% of total)
ival-fmod: 21.0ms (9.8% of total)
ival-exp: 16.0ms (7.4% of total)
backward-pass: 11.0ms (5.1% of total)
ival-sqrt: 9.0ms (4.2% of total)
ival-div: 5.0ms (2.3% of total)
const: 0.0ms (0% of total)

series4.0ms (0%)

Counts
5 → 60
Calls
Call 1
Inputs
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (exp x)>
#<alt (sqrt (cos x))>
#<alt (cos x)>
Outputs
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
1.0ms
x
@0
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
1.0ms
x
@inf
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
0.0ms
x
@0
(sqrt (cos x))
0.0ms
x
@inf
(sqrt (cos x))

rewrite104.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
562×*-lowering-*.f32
562×*-lowering-*.f64
476×/-lowering-/.f32
476×/-lowering-/.f64
142×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0622
11622
26322
325522
0133522
Stop Event
iter limit
iter limit
node limit
Counts
5 → 124
Calls
Call 1
Inputs
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(fmod (exp x) (sqrt (cos x)))
(exp x)
(sqrt (cos x))
(cos x)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal 0 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)))
(exp.f64 (*.f64 #s(literal -1 binary64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))
(-.f64 #s(literal 0 binary64) (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x))
(/.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (/.f64 #s(literal -1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) (exp.f64 (+.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (exp.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (*.f64 (exp.f64 x) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))) (*.f64 #s(literal 0 binary64) (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))) (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1 binary64))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))) #s(literal -1 binary64))
(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (pow.f64 (/.f64 #s(literal -1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (/.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))
(*.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(*.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x))
(+.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))
(+.f64 (exp.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (exp.f64 x))
(exp.f64 x)
(exp.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal 3 binary64))) (exp.f64 (+.f64 x x)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64)) (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64))))
(sqrt.f64 (cos.f64 x))
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (cos.f64 x)))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/8 binary64))) (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)))
(exp.f64 (log.f64 (cos.f64 x)))
(cos.f64 x)

simplify194.0ms (0.9%)

Algorithm
egg-herbie
Rules
2250×--lowering--.f32
2250×--lowering--.f64
2058×*-lowering-*.f32
2058×*-lowering-*.f64
1860×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
078395
1228360
2769347
33498334
08360334
Stop Event
iter limit
node limit
Counts
60 → 60
Calls
Call 1
Inputs
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
Outputs
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+.f64 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x x)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -1/96 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)

eval31.0ms (0.1%)

Compiler

Compiled 3350 to 464 computations (86.1% saved)

prune29.0ms (0.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New20913222
Fresh000
Picked101
Done000
Total21013223
Accuracy
28.9%
Counts
223 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.5%
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
6.2%
(/.f64 (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x)) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
27.5%
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
16.9%
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
6.2%
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (exp.f64 x))
6.1%
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -1/96 binary64))))))) (exp.f64 x))
6.0%
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x))
6.2%
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 x))
6.2%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))))
5.0%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x #s(literal 1 binary64)))
5.7%
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
26.1%
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
6.2%
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
Compiler

Compiled 388 to 254 computations (34.5% saved)

simplify136.0ms (0.6%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x)) (sqrt.f64 (cos.f64 x)))
cost-diff0
(/.f64 (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x)) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
cost-diff192
(neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x))))
cost-diff6656
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x))
cost-diff0
(sqrt.f64 (cos.f64 x))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
cost-diff0
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x #s(literal 1 binary64)))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))
cost-diff0
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (exp.f64 x))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
cost-diff0
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
cost-diff0
(sqrt.f64 (cos.f64 x))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
cost-diff0
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
Rules
2378×fma-define
1940×fma-lowering-fma.f32
1940×fma-lowering-fma.f64
1498×fnmadd-define
1362×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033243
171217
2190217
3494213
41222213
52717213
65564213
08165213
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (fmod (+ x 1) (sqrt (cos x))) (exp x))
(fmod (+ x 1) (sqrt (cos x)))
(+ x 1)
x
1
(sqrt (cos x))
(cos x)
(exp x)
(/ (fmod (exp x) 1) (exp x))
(fmod (exp x) 1)
(exp x)
x
1
(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (exp x))
(fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))))
(exp x)
x
(+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))
1
(* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))
(* x x)
(+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))
-1/4
(* x (* x (+ -1/96 (* (* x x) -19/5760))))
(* x (+ -1/96 (* (* x x) -19/5760)))
(+ -1/96 (* (* x x) -19/5760))
-1/96
(* (* x x) -19/5760)
-19/5760
(/ (fmod (exp x) (sqrt (cos x))) (+ x 1))
(fmod (exp x) (sqrt (cos x)))
(exp x)
x
(sqrt (cos x))
(cos x)
(+ x 1)
1
(/ (fmod (/ (neg (- 0 (exp (+ x x)))) (exp x)) (sqrt (cos x))) (exp x))
(fmod (/ (neg (- 0 (exp (+ x x)))) (exp x)) (sqrt (cos x)))
(/ (neg (- 0 (exp (+ x x)))) (exp x))
(neg (- 0 (exp (+ x x))))
(- 0 (exp (+ x x)))
0
(exp (+ x x))
(+ x x)
x
(exp x)
(sqrt (cos x))
(cos x)
Outputs
(/ (fmod (+ x 1) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod (+ x 1) (sqrt (cos x)))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(cos x)
(cos.f64 x)
(exp x)
(exp.f64 x)
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
x
1
#s(literal 1 binary64)
(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (exp.f64 x))
(fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))
(exp x)
(exp.f64 x)
x
(+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))
(* x x)
(*.f64 x x)
(+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))
(+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))
-1/4
#s(literal -1/4 binary64)
(* x (* x (+ -1/96 (* (* x x) -19/5760))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))
(* x (+ -1/96 (* (* x x) -19/5760)))
(*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
(+ -1/96 (* (* x x) -19/5760))
(+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))
-1/96
#s(literal -1/96 binary64)
(* (* x x) -19/5760)
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
-19/5760
#s(literal -19/5760 binary64)
(/ (fmod (exp x) (sqrt (cos x))) (+ x 1))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x #s(literal 1 binary64)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp x)
(exp.f64 x)
x
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(cos x)
(cos.f64 x)
(+ x 1)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ (fmod (/ (neg (- 0 (exp (+ x x)))) (exp x)) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod (/ (neg (- 0 (exp (+ x x)))) (exp x)) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(/ (neg (- 0 (exp (+ x x)))) (exp x))
(exp.f64 x)
(neg (- 0 (exp (+ x x))))
(exp.f64 (*.f64 x #s(literal 2 binary64)))
(- 0 (exp (+ x x)))
(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))
0
#s(literal 0 binary64)
(exp (+ x x))
(exp.f64 (*.f64 x #s(literal 2 binary64)))
(+ x x)
(*.f64 x #s(literal 2 binary64))
x
(exp x)
(exp.f64 x)
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(cos x)
(cos.f64 x)

localize577.0ms (2.7%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 (cos.f64 x))
accuracy99.2%
(/.f64 (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x)) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
accuracy99.2%
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x))
accuracy29.6%
(fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x)) (sqrt.f64 (cos.f64 x)))
accuracy100.0%
(cos.f64 x)
accuracy100.0%
(sqrt.f64 (cos.f64 x))
accuracy100.0%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x #s(literal 1 binary64)))
accuracy29.6%
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy99.9%
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
accuracy99.6%
(*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
accuracy99.2%
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (exp.f64 x))
accuracy29.7%
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))
accuracy100.0%
(exp.f64 x)
accuracy99.2%
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
accuracy29.6%
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
accuracy100.0%
(cos.f64 x)
accuracy100.0%
(sqrt.f64 (cos.f64 x))
accuracy100.0%
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
accuracy29.6%
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
Results
235.0ms80×2valid
194.0ms105×1valid
37.0ms13×0valid
31.0ms56×0unsamplable
10.0ms5exit
Compiler

Compiled 282 to 34 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 276.0ms
ival-fmod: 114.0ms (41.3% of total)
ival-exp: 36.0ms (13% of total)
backward-pass: 29.0ms (10.5% of total)
ival-div: 23.0ms (8.3% of total)
...c/correct-round.rkt:119:19: 20.0ms (7.2% of total)
ival-mult: 17.0ms (6.2% of total)
ival-add: 15.0ms (5.4% of total)
ival-cos: 11.0ms (4% of total)
ival-sqrt: 4.0ms (1.4% of total)
ival-neg: 3.0ms (1.1% of total)
ival-sub: 3.0ms (1.1% of total)
const: 1.0ms (0.4% of total)

series20.0ms (0.1%)

Counts
19 → 228
Calls
Call 1
Inputs
#<alt (/ (fmod (+ x 1) (sqrt (cos x))) (exp x))>
#<alt (fmod (+ x 1) (sqrt (cos x)))>
#<alt (+ x 1)>
#<alt (sqrt (cos x))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (fmod (exp x) 1)>
#<alt (exp x)>
#<alt (/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (exp x))>
#<alt (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))))>
#<alt (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (+ x 1))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (/ (neg (- 0 (exp (+ x x)))) (exp x))>
#<alt (neg (- 0 (exp (+ x x))))>
#<alt (/ (fmod (/ (neg (- 0 (exp (+ x x)))) (exp x)) (sqrt (cos x))) (exp x))>
#<alt (fmod (/ (neg (- 0 (exp (+ x x)))) (exp x)) (sqrt (cos x)))>
#<alt (cos x)>
#<alt (* x (+ -1/96 (* (* x x) -19/5760)))>
#<alt (* (* x x) -19/5760)>
Outputs
#<alt (fmod (+ 1 x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* 1/2 (fmod (+ 1 x) (sqrt (cos x))))))) (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* 1/2 (fmod (+ 1 x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (+ 1 x) (sqrt (cos x)))) (* 1/6 (fmod (+ 1 x) (sqrt (cos x)))))))) (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* 1/2 (fmod (+ 1 x) (sqrt (cos x))))))) (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x))))>
#<alt (/ (fmod (+ 1 x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (+ 1 x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (+ 1 x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (+ 1 x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (- 1 (* -1 x)) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (- 1 (* -1 x)) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (- 1 (* -1 x)) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (- 1 (* -1 x)) (sqrt (cos x))) (exp x))>
#<alt (fmod (+ 1 x) (sqrt (cos x)))>
#<alt (fmod (+ 1 x) (sqrt (cos x)))>
#<alt (fmod (+ 1 x) (sqrt (cos x)))>
#<alt (fmod (+ 1 x) (sqrt (cos x)))>
#<alt (fmod (+ 1 x) (sqrt (cos x)))>
#<alt (fmod (+ 1 x) (sqrt (cos x)))>
#<alt (fmod (+ 1 x) (sqrt (cos x)))>
#<alt (fmod (+ 1 x) (sqrt (cos x)))>
#<alt (fmod (- 1 (* -1 x)) (sqrt (cos x)))>
#<alt (fmod (- 1 (* -1 x)) (sqrt (cos x)))>
#<alt (fmod (- 1 (* -1 x)) (sqrt (cos x)))>
#<alt (fmod (- 1 (* -1 x)) (sqrt (cos x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (fmod (exp x) 1)>
#<alt (+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1))))) (fmod (exp x) 1))) (fmod (exp x) 1))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1)))) (+ (* -1/2 (fmod (exp x) 1)) (* 1/6 (fmod (exp x) 1)))))) (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1))))) (fmod (exp x) 1))) (fmod (exp x) 1))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))) (+ (* -1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/6 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))))) (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))>
#<alt (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))>
#<alt (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))>
#<alt (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))>
#<alt (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))>
#<alt (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))>
#<alt (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))>
#<alt (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))>
#<alt (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (* -19/5760 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))>
#<alt (* -19/5760 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (- (* x (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (* -1 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) x)>
#<alt (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)>
#<alt (/ (- (+ (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)) (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)) x)>
#<alt (/ (- (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))) (fmod (exp x) (sqrt (cos x)))) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (/ (fmod (exp x) (sqrt (cos x))) x))) x)>
#<alt (/ (fmod (exp x) (sqrt (cos x))) x)>
#<alt (* -1 (/ (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (fmod (exp x) (sqrt (cos x))) x) (fmod (exp x) (sqrt (cos x)))) x)) (* -1 (fmod (exp x) (sqrt (cos x))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (fmod (exp x) (sqrt (cos x))) x) (fmod (exp x) (sqrt (cos x)))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* -1 (fmod (exp x) (sqrt (cos x))))) x))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (/ (exp (* 2 x)) (exp x))>
#<alt (/ (exp (* 2 x)) (exp x))>
#<alt (/ (exp (* 2 x)) (exp x))>
#<alt (/ (exp (* 2 x)) (exp x))>
#<alt (/ (exp (neg (* -2 x))) (exp x))>
#<alt (/ (exp (neg (* -2 x))) (exp x))>
#<alt (/ (exp (neg (* -2 x))) (exp x))>
#<alt (/ (exp (neg (* -2 x))) (exp x))>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))>
#<alt (exp (* 2 x))>
#<alt (exp (* 2 x))>
#<alt (exp (* 2 x))>
#<alt (exp (* 2 x))>
#<alt (exp (neg (* -2 x)))>
#<alt (exp (neg (* -2 x)))>
#<alt (exp (neg (* -2 x)))>
#<alt (exp (neg (* -2 x)))>
#<alt (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))) (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))) (* 1/2 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))))) (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))) (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))) (* 1/2 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))))) (+ (* -1/2 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))) (* 1/6 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))))))) (+ (* -1 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))) (* 1/2 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))))) (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))) (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))>
#<alt (/ (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x))) (exp x))>
#<alt (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))>
#<alt (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))>
#<alt (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))>
#<alt (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))>
#<alt (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))>
#<alt (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))>
#<alt (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))>
#<alt (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))>
#<alt (fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x)))>
#<alt (fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x)))>
#<alt (fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x)))>
#<alt (fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (* -1/96 x)>
#<alt (* x (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* x (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* x (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* -19/5760 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -19/5760 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
Calls

57 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/ (fmod (exp x) 1) (exp x))
2.0ms
x
@inf
(/ (fmod (exp x) (sqrt (cos x))) (+ x 1))
1.0ms
x
@0
(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (exp x))
1.0ms
x
@inf
(/ (fmod (/ (neg (- 0 (exp (+ x x)))) (exp x)) (sqrt (cos x))) (exp x))
1.0ms
x
@inf
(+ x 1)

rewrite304.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
3014×*-lowering-*.f32
3014×*-lowering-*.f64
2704×/-lowering-/.f32
2704×/-lowering-/.f64
1644×frac-times
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033149
1176136
21352117
09289117
Stop Event
iter limit
node limit
Counts
19 → 255
Calls
Call 1
Inputs
(/ (fmod (+ x 1) (sqrt (cos x))) (exp x))
(fmod (+ x 1) (sqrt (cos x)))
(+ x 1)
(sqrt (cos x))
(/ (fmod (exp x) 1) (exp x))
(fmod (exp x) 1)
(exp x)
(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (exp x))
(fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))))
(+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))
(/ (fmod (exp x) (sqrt (cos x))) (+ x 1))
(fmod (exp x) (sqrt (cos x)))
(/ (neg (- 0 (exp (+ x x)))) (exp x))
(neg (- 0 (exp (+ x x))))
(/ (fmod (/ (neg (- 0 (exp (+ x x)))) (exp x)) (sqrt (cos x))) (exp x))
(fmod (/ (neg (- 0 (exp (+ x x)))) (exp x)) (sqrt (cos x)))
(cos x)
(* x (+ -1/96 (* (* x x) -19/5760)))
(* (* x x) -19/5760)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
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(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/884736 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -6859/191102976000 binary64))))) (+.f64 (*.f64 (*.f64 x #s(literal -1/96 binary64)) (*.f64 x #s(literal -1/96 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) (*.f64 (*.f64 x #s(literal -1/96 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/96 binary64)) (*.f64 x #s(literal -1/96 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))) (-.f64 (*.f64 x #s(literal -1/96 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal -1/884736 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -6859/191102976000 binary64))))) (+.f64 #s(literal 1/9216 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1/9216 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 361/33177600 binary64)))) (-.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -1/884736 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -6859/191102976000 binary64)))) x) (+.f64 #s(literal 1/9216 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/9216 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 361/33177600 binary64))) x) (-.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/884736 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -6859/191102976000 binary64)))))) (neg.f64 (+.f64 (*.f64 (*.f64 x #s(literal -1/96 binary64)) (*.f64 x #s(literal -1/96 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) (*.f64 (*.f64 x #s(literal -1/96 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/96 binary64)) (*.f64 x #s(literal -1/96 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))) (neg.f64 (-.f64 (*.f64 x #s(literal -1/96 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -1/884736 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -6859/191102976000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/9216 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/9216 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 361/33177600 binary64))))) (neg.f64 (-.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1/884736 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -6859/191102976000 binary64)))) x)) (neg.f64 (+.f64 #s(literal 1/9216 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/9216 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 361/33177600 binary64))) x)) (neg.f64 (-.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -6859/191102976000 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/884736 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) (-.f64 (*.f64 (*.f64 x #s(literal -1/96 binary64)) (*.f64 x #s(literal -1/96 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))) (*.f64 x #s(literal -1/96 binary64))))))
(*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
(*.f64 (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))) x)
(*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/884736 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -6859/191102976000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x #s(literal -1/96 binary64)) (*.f64 x #s(literal -1/96 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) (*.f64 (*.f64 x #s(literal -1/96 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))
(*.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/96 binary64)) (*.f64 x #s(literal -1/96 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal -1/96 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))
(*.f64 (*.f64 x (+.f64 #s(literal -1/884736 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -6859/191102976000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9216 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))))))
(*.f64 (*.f64 x (-.f64 #s(literal 1/9216 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 361/33177600 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))
(*.f64 (*.f64 (+.f64 #s(literal -1/884736 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -6859/191102976000 binary64)))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9216 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))))))
(*.f64 (*.f64 (-.f64 #s(literal 1/9216 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 361/33177600 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))
(*.f64 x (*.f64 x #s(literal -19/5760 binary64)))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(*.f64 #s(literal -19/5760 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal -19/5760 binary64)) x)

simplify251.0ms (1.2%)

Algorithm
egg-herbie
Rules
3044×*-lowering-*.f32
3044×*-lowering-*.f64
1830×+-lowering-+.f64
1830×+-lowering-+.f32
1562×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02622504
18652169
230712092
096972092
Stop Event
iter limit
node limit
Counts
228 → 228
Calls
Call 1
Inputs
(fmod (+ 1 x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* 1/2 (fmod (+ 1 x) (sqrt (cos x))))))) (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* 1/2 (fmod (+ 1 x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (+ 1 x) (sqrt (cos x)))) (* 1/6 (fmod (+ 1 x) (sqrt (cos x)))))))) (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* 1/2 (fmod (+ 1 x) (sqrt (cos x))))))) (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x))))
(/ (fmod (+ 1 x) (sqrt (cos x))) (exp x))
(/ (fmod (+ 1 x) (sqrt (cos x))) (exp x))
(/ (fmod (+ 1 x) (sqrt (cos x))) (exp x))
(/ (fmod (+ 1 x) (sqrt (cos x))) (exp x))
(/ (fmod (- 1 (* -1 x)) (sqrt (cos x))) (exp x))
(/ (fmod (- 1 (* -1 x)) (sqrt (cos x))) (exp x))
(/ (fmod (- 1 (* -1 x)) (sqrt (cos x))) (exp x))
(/ (fmod (- 1 (* -1 x)) (sqrt (cos x))) (exp x))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod (- 1 (* -1 x)) (sqrt (cos x)))
(fmod (- 1 (* -1 x)) (sqrt (cos x)))
(fmod (- 1 (* -1 x)) (sqrt (cos x)))
(fmod (- 1 (* -1 x)) (sqrt (cos x)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(fmod (exp x) 1)
(+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1))))) (fmod (exp x) 1))) (fmod (exp x) 1))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1)))) (+ (* -1/2 (fmod (exp x) 1)) (* 1/6 (fmod (exp x) 1)))))) (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1))))) (fmod (exp x) 1))) (fmod (exp x) 1))
(/ (fmod (exp x) 1) (exp x))
(/ (fmod (exp x) 1) (exp x))
(/ (fmod (exp x) 1) (exp x))
(/ (fmod (exp x) 1) (exp x))
(/ (fmod (exp x) 1) (exp x))
(/ (fmod (exp x) 1) (exp x))
(/ (fmod (exp x) 1) (exp x))
(/ (fmod (exp x) 1) (exp x))
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))) (+ (* -1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/6 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))))) (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* x (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* x (- (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (* -1 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(/ (fmod (exp x) (sqrt (cos x))) x)
(/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)
(/ (- (+ (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)) (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)) x)
(/ (- (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))) (fmod (exp x) (sqrt (cos x)))) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (/ (fmod (exp x) (sqrt (cos x))) x))) x)
(/ (fmod (exp x) (sqrt (cos x))) x)
(* -1 (/ (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)) x))
(* -1 (/ (+ (* -1 (/ (- (/ (fmod (exp x) (sqrt (cos x))) x) (fmod (exp x) (sqrt (cos x)))) x)) (* -1 (fmod (exp x) (sqrt (cos x))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (fmod (exp x) (sqrt (cos x))) x) (fmod (exp x) (sqrt (cos x)))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* -1 (fmod (exp x) (sqrt (cos x))))) x))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(/ (exp (* 2 x)) (exp x))
(/ (exp (* 2 x)) (exp x))
(/ (exp (* 2 x)) (exp x))
(/ (exp (* 2 x)) (exp x))
(/ (exp (neg (* -2 x))) (exp x))
(/ (exp (neg (* -2 x))) (exp x))
(/ (exp (neg (* -2 x))) (exp x))
(/ (exp (neg (* -2 x))) (exp x))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))
(exp (* 2 x))
(exp (* 2 x))
(exp (* 2 x))
(exp (* 2 x))
(exp (neg (* -2 x)))
(exp (neg (* -2 x)))
(exp (neg (* -2 x)))
(exp (neg (* -2 x)))
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))
(+ (* -1 (* x (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))) (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))) (* 1/2 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))))) (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))) (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))) (* 1/2 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))))) (+ (* -1/2 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))) (* 1/6 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))))))) (+ (* -1 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))) (* 1/2 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))))) (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))) (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))
(/ (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) (exp x))
(/ (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) (exp x))
(/ (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) (exp x))
(/ (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) (exp x))
(/ (fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x))) (exp x))
(/ (fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x))) (exp x))
(/ (fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x))) (exp x))
(/ (fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x))) (exp x))
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))
(fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x)))
(fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x)))
(fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x)))
(fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* -1/96 x)
(* x (- (* -19/5760 (pow x 2)) 1/96))
(* x (- (* -19/5760 (pow x 2)) 1/96))
(* x (- (* -19/5760 (pow x 2)) 1/96))
(* -19/5760 (pow x 3))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -19/5760 (pow x 3))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
Outputs
(fmod (+ 1 x) (sqrt (cos x)))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* 1/2 (fmod (+ 1 x) (sqrt (cos x))))))) (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x))))
(+.f64 (*.f64 x (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))))) (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* 1/2 (fmod (+ 1 x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (+ 1 x) (sqrt (cos x)))) (* 1/6 (fmod (+ 1 x) (sqrt (cos x)))))))) (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* 1/2 (fmod (+ 1 x) (sqrt (cos x))))))) (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x))))
(+.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))) #s(literal 0 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))))) (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))))
(/ (fmod (+ 1 x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (+ 1 x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (+ 1 x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (+ 1 x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (- 1 (* -1 x)) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (- 1 (* -1 x)) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (- 1 (* -1 x)) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (- 1 (* -1 x)) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))
(fmod (- 1 (* -1 x)) (sqrt (cos x)))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))
(fmod (- 1 (* -1 x)) (sqrt (cos x)))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))
(fmod (- 1 (* -1 x)) (sqrt (cos x)))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))
(fmod (- 1 (* -1 x)) (sqrt (cos x)))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/96 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1))))) (fmod (exp x) 1))) (fmod (exp x) 1))
(+.f64 (*.f64 x (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1)))) (+ (* -1/2 (fmod (exp x) 1)) (* 1/6 (fmod (exp x) 1)))))) (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1))))) (fmod (exp x) 1))) (fmod (exp x) 1))
(+.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 0 binary64))))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))
(+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(+.f64 (*.f64 x (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))) (+ (* -1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/6 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))))) (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(+.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))) #s(literal 0 binary64))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))))
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 x (*.f64 x #s(literal 19/5760 binary64)))))) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x))
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 x (*.f64 x #s(literal 19/5760 binary64)))))) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x))
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 x (*.f64 x #s(literal 19/5760 binary64)))))) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x))
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 x (*.f64 x #s(literal 19/5760 binary64)))))) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x))
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))
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(/ (fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))
(fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x)))
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))
(fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x)))
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))
(fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x)))
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))
(fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x)))
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))
(fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x)))
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))
(fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x)))
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))
(fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x)))
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))
(fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x)))
(fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x)))
(fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x)))
(fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x)))
(fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x)))
(fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x)))
(fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x)))
(fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x)))
(fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))))))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* -1/96 x)
(*.f64 x #s(literal -1/96 binary64))
(* x (- (* -19/5760 (pow x 2)) 1/96))
(*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
(* x (- (* -19/5760 (pow x 2)) 1/96))
(*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
(* x (- (* -19/5760 (pow x 2)) 1/96))
(*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
(* -19/5760 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))
(* -19/5760 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))
(* -19/5760 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))

eval109.0ms (0.5%)

Compiler

Compiled 15528 to 1383 computations (91.1% saved)

prune86.0ms (0.4%)

Pruning

25 alts after pruning (23 fresh and 2 done)

PrunedKeptTotal
New66920689
Fresh538
Picked325
Done000
Total67725702
Accuracy
64.7%
Counts
702 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.5%
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
5.2%
(/.f64 (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
6.0%
(/.f64 (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x))
5.2%
(/.f64 (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x)) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
27.4%
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x))
13.2%
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (exp.f64 x))
16.9%
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
16.7%
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (exp.f64 x))
6.1%
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/96 binary64)))))) (exp.f64 x))
5.3%
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
5.2%
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
6.2%
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (exp.f64 x))
5.0%
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
6.2%
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 x))
1.6%
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))))) (exp.f64 x))
1.3%
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))) (exp.f64 x))
1.2%
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64)))) (exp.f64 x))
6.2%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))))
4.8%
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
5.0%
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
5.7%
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
61.1%
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x))
5.3%
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))) #s(literal 1 binary64))
25.9%
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
5.0%
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))))
Compiler

Compiled 898 to 591 computations (34.2% saved)

simplify302.0ms (1.4%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x)))))
cost-diff0
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))) (exp.f64 x))
cost-diff256
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))
cost-diff5824
(pow.f64 x #s(literal 6 binary64))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))
cost-diff0
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
cost-diff0
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
cost-diff0
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
cost-diff128
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
(cos.f64 x)
cost-diff0
(sqrt.f64 (cos.f64 x))
cost-diff0
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
cost-diff0
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x))
Rules
3698×*-lowering-*.f32
3698×*-lowering-*.f64
3398×fma-define
2302×fma-lowering-fma.f32
2302×fma-lowering-fma.f64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
039280
190255
2218254
3566254
41287254
51989254
62309251
72936251
83959251
94513251
105052251
115932251
127190251
137582251
147831251
08295251
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (fmod x (sqrt (cos x))) (exp x))
(fmod x (sqrt (cos x)))
x
(sqrt (cos x))
(cos x)
(exp x)
(/ (fmod 1 1) 1)
(fmod 1 1)
1
(/ (fmod (exp x) (+ 1 (* -1/4 (* x x)))) (+ x 1))
(fmod (exp x) (+ 1 (* -1/4 (* x x))))
(exp x)
x
(+ 1 (* -1/4 (* x x)))
1
(* -1/4 (* x x))
-1/4
(* x x)
(+ x 1)
(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x 1/2)))))
(fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))))
(exp x)
x
(+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))
1
(* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))
(* x x)
(+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))
-1/4
(* x (* x (+ -1/96 (* (* x x) -19/5760))))
(* x (+ -1/96 (* (* x x) -19/5760)))
(+ -1/96 (* (* x x) -19/5760))
-1/96
(* (* x x) -19/5760)
-19/5760
(+ 1 (* x (+ 1 (* x 1/2))))
(* x (+ 1 (* x 1/2)))
(+ 1 (* x 1/2))
(* x 1/2)
1/2
(/ (fmod (exp x) (* (pow x 6) (+ -19/5760 (/ -1/96 (* x x))))) (exp x))
(fmod (exp x) (* (pow x 6) (+ -19/5760 (/ -1/96 (* x x)))))
(exp x)
x
(* (pow x 6) (+ -19/5760 (/ -1/96 (* x x))))
(pow x 6)
6
(+ -19/5760 (/ -1/96 (* x x)))
-19/5760
(/ -1/96 (* x x))
-1/96
(* x x)
Outputs
(/ (fmod x (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod x (sqrt (cos x)))
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
x
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(cos x)
(cos.f64 x)
(exp x)
(exp.f64 x)
(/ (fmod 1 1) 1)
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod 1 1)
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ (fmod (exp x) (+ 1 (* -1/4 (* x x)))) (+ x 1))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(fmod (exp x) (+ 1 (* -1/4 (* x x))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(exp x)
(exp.f64 x)
x
(+ 1 (* -1/4 (* x x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(* -1/4 (* x x))
(*.f64 #s(literal -1/4 binary64) (*.f64 x x))
-1/4
#s(literal -1/4 binary64)
(* x x)
(*.f64 x x)
(+ x 1)
(+.f64 x #s(literal 1 binary64))
(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x 1/2)))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))
(exp x)
(exp.f64 x)
x
(+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))
(* x x)
(*.f64 x x)
(+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))
(+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))
-1/4
#s(literal -1/4 binary64)
(* x (* x (+ -1/96 (* (* x x) -19/5760))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))
(* x (+ -1/96 (* (* x x) -19/5760)))
(*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
(+ -1/96 (* (* x x) -19/5760))
(+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))
-1/96
#s(literal -1/96 binary64)
(* (* x x) -19/5760)
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
-19/5760
#s(literal -19/5760 binary64)
(+ 1 (* x (+ 1 (* x 1/2))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(* x (+ 1 (* x 1/2)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 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)
(/ (fmod (exp x) (* (pow x 6) (+ -19/5760 (/ -1/96 (* x x))))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))) (exp.f64 x))
(fmod (exp x) (* (pow x 6) (+ -19/5760 (/ -1/96 (* x x)))))
(fmod.f64 (exp.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))
(exp x)
(exp.f64 x)
x
(* (pow x 6) (+ -19/5760 (/ -1/96 (* x x))))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))
(pow x 6)
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
6
#s(literal 6 binary64)
(+ -19/5760 (/ -1/96 (* x x)))
(+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x)))
-19/5760
#s(literal -19/5760 binary64)
(/ -1/96 (* x x))
(/.f64 #s(literal -1/96 binary64) (*.f64 x x))
-1/96
#s(literal -1/96 binary64)
(* x x)
(*.f64 x x)

localize1.0s (4.9%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(/.f64 #s(literal -1/96 binary64) (*.f64 x x))
accuracy99.2%
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))) (exp.f64 x))
accuracy59.0%
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))
accuracy30.3%
(fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x)))))
accuracy99.9%
(*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))
accuracy99.9%
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
accuracy99.6%
(*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
accuracy29.7%
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))
accuracy100.0%
(exp.f64 x)
accuracy100.0%
(*.f64 #s(literal -1/4 binary64) (*.f64 x x))
accuracy100.0%
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
accuracy29.6%
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
accuracy100.0%
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
accuracy100.0%
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy100.0%
(cos.f64 x)
accuracy100.0%
(sqrt.f64 (cos.f64 x))
accuracy100.0%
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x))
accuracy99.6%
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
Results
381.0ms155×1valid
357.0ms58×5exit
109.0ms40×2valid
2.0ms0valid
Compiler

Compiled 315 to 40 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 477.0ms
ival-fmod: 136.0ms (28.5% of total)
backward-pass: 105.0ms (22% of total)
...c/correct-round.rkt:119:19: 68.0ms (14.3% of total)
ival-mult: 43.0ms (9% of total)
ival-add: 34.0ms (7.1% of total)
ival-div: 34.0ms (7.1% of total)
ival-exp: 23.0ms (4.8% of total)
ival-cos: 14.0ms (2.9% of total)
ival-pow: 13.0ms (2.7% of total)
ival-sqrt: 5.0ms (1% of total)
const: 2.0ms (0.4% of total)

series20.0ms (0.1%)

Counts
22 → 240
Calls
Call 1
Inputs
#<alt (/ (fmod x (sqrt (cos x))) (exp x))>
#<alt (fmod x (sqrt (cos x)))>
#<alt (sqrt (cos x))>
#<alt (cos x)>
#<alt (/ (fmod 1 1) 1)>
#<alt (fmod 1 1)>
#<alt (/ (fmod (exp x) (+ 1 (* -1/4 (* x x)))) (+ x 1))>
#<alt (fmod (exp x) (+ 1 (* -1/4 (* x x))))>
#<alt (exp x)>
#<alt (+ 1 (* -1/4 (* x x)))>
#<alt (/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x 1/2)))))>
#<alt (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))))>
#<alt (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))>
#<alt (pow x 6)>
#<alt (* (pow x 6) (+ -19/5760 (/ -1/96 (* x x))))>
#<alt (/ (fmod (exp x) (* (pow x 6) (+ -19/5760 (/ -1/96 (* x x))))) (exp x))>
#<alt (fmod (exp x) (* (pow x 6) (+ -19/5760 (/ -1/96 (* x x)))))>
#<alt (* -1/4 (* x x))>
#<alt (* x (+ -1/96 (* (* x x) -19/5760)))>
#<alt (* (* x x) -19/5760)>
#<alt (* x (* x (+ -1/96 (* (* x x) -19/5760))))>
#<alt (/ -1/96 (* x x))>
Outputs
#<alt (fmod x (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod x (sqrt (cos x))))) (fmod x (sqrt (cos x))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod x (sqrt (cos x)))) (* 1/2 (fmod x (sqrt (cos x))))))) (fmod x (sqrt (cos x))))) (fmod x (sqrt (cos x))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod x (sqrt (cos x)))) (* 1/2 (fmod x (sqrt (cos x)))))) (+ (* -1/2 (fmod x (sqrt (cos x)))) (* 1/6 (fmod x (sqrt (cos x)))))))) (+ (* -1 (fmod x (sqrt (cos x)))) (* 1/2 (fmod x (sqrt (cos x))))))) (fmod x (sqrt (cos x))))) (fmod x (sqrt (cos x))))>
#<alt (/ (fmod x (sqrt (cos x))) (exp x))>
#<alt (/ (fmod x (sqrt (cos x))) (exp x))>
#<alt (/ (fmod x (sqrt (cos x))) (exp x))>
#<alt (/ (fmod x (sqrt (cos x))) (exp x))>
#<alt (/ (fmod x (sqrt (cos x))) (exp x))>
#<alt (/ (fmod x (sqrt (cos x))) (exp x))>
#<alt (/ (fmod x (sqrt (cos x))) (exp x))>
#<alt (/ (fmod x (sqrt (cos x))) (exp x))>
#<alt (fmod x (sqrt (cos x)))>
#<alt (fmod x (sqrt (cos x)))>
#<alt (fmod x (sqrt (cos x)))>
#<alt (fmod x (sqrt (cos x)))>
#<alt (fmod x (sqrt (cos x)))>
#<alt (fmod x (sqrt (cos x)))>
#<alt (fmod x (sqrt (cos x)))>
#<alt (fmod x (sqrt (cos x)))>
#<alt (fmod x (sqrt (cos x)))>
#<alt (fmod x (sqrt (cos x)))>
#<alt (fmod x (sqrt (cos x)))>
#<alt (fmod x (sqrt (cos x)))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))>
#<alt (+ (* -1 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))>
#<alt (+ (* x (- (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (* -1 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))>
#<alt (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)>
#<alt (/ (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)>
#<alt (/ (- (+ (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 2)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) x)>
#<alt (/ (- (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 3))) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 2))) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x))) x)>
#<alt (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)>
#<alt (* -1 (/ (+ (* -1 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)) (* -1 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)) (* -1 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))) x))>
#<alt (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))>
#<alt (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))>
#<alt (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))>
#<alt (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))>
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))) (* -1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))>
#<alt (* 2 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))>
#<alt (/ (+ (* -4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (* 4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* -2 (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))))) (pow x 3))) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (+ (* -8 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2))) (+ (* 4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))))) (pow x 2))>
#<alt (* 2 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))>
#<alt (/ (+ (* -4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -8 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (* -4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 8 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))))) x)) (* -4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (* -19/5760 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))>
#<alt (* -19/5760 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (* -1/96 (pow x 4))>
#<alt (* (pow x 4) (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* (pow x 4) (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* (pow x 4) (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* -19/5760 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -19/5760 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))>
#<alt (+ (* -1 (* x (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))) (* 1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))) (* 1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))))) (+ (* -1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))) (* 1/6 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))))))) (+ (* -1 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))) (* 1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))>
#<alt (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x))>
#<alt (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x))>
#<alt (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x))>
#<alt (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x))>
#<alt (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x))>
#<alt (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x))>
#<alt (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x))>
#<alt (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/96 x)>
#<alt (* x (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* x (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* x (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* -19/5760 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -19/5760 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -1/96 (pow x 2))>
#<alt (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* -19/5760 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -19/5760 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (/ -1/96 (pow x 2))>
#<alt (/ -1/96 (pow x 2))>
#<alt (/ -1/96 (pow x 2))>
#<alt (/ -1/96 (pow x 2))>
#<alt (/ -1/96 (pow x 2))>
#<alt (/ -1/96 (pow x 2))>
#<alt (/ -1/96 (pow x 2))>
#<alt (/ -1/96 (pow x 2))>
#<alt (/ -1/96 (pow x 2))>
#<alt (/ -1/96 (pow x 2))>
#<alt (/ -1/96 (pow x 2))>
#<alt (/ -1/96 (pow x 2))>
Calls

60 calls:

TimeVariablePointExpression
3.0ms
x
@0
(* (pow x 6) (+ -19/5760 (/ -1/96 (* x x))))
2.0ms
x
@inf
(exp x)
1.0ms
x
@inf
(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x 1/2)))))
1.0ms
x
@-inf
(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x 1/2)))))
1.0ms
x
@0
(/ (fmod (exp x) (* (pow x 6) (+ -19/5760 (/ -1/96 (* x x))))) (exp x))

rewrite418.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
3180×*-lowering-*.f32
3180×*-lowering-*.f64
3012×/-lowering-/.f32
3012×/-lowering-/.f64
2122×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039189
1233173
21951173
08667173
Stop Event
iter limit
node limit
Counts
22 → 348
Calls
Call 1
Inputs
(/ (fmod x (sqrt (cos x))) (exp x))
(fmod x (sqrt (cos x)))
(sqrt (cos x))
(cos x)
(/ (fmod 1 1) 1)
(fmod 1 1)
(/ (fmod (exp x) (+ 1 (* -1/4 (* x x)))) (+ x 1))
(fmod (exp x) (+ 1 (* -1/4 (* x x))))
(exp x)
(+ 1 (* -1/4 (* x x)))
(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x 1/2)))))
(fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))))
(+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))
(pow x 6)
(* (pow x 6) (+ -19/5760 (/ -1/96 (* x x))))
(/ (fmod (exp x) (* (pow x 6) (+ -19/5760 (/ -1/96 (* x x))))) (exp x))
(fmod (exp x) (* (pow x 6) (+ -19/5760 (/ -1/96 (* x x)))))
(* -1/4 (* x x))
(* x (+ -1/96 (* (* x x) -19/5760)))
(* (* x x) -19/5760)
(* x (* x (+ -1/96 (* (* x x) -19/5760))))
(/ -1/96 (* x x))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (/.f64 (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(neg.f64 (/.f64 (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (exp.f64 x)))
(/.f64 (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (exp.f64 x) (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(/.f64 (*.f64 (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (*.f64 (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (exp.f64 x) (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 binary64)))
(sqrt.f64 (cos.f64 x))
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (cos.f64 x))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(pow.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(pow.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (+.f64 #s(literal -1 binary64) (neg.f64 x))))
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (+.f64 #s(literal -1 binary64) (neg.f64 x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (+.f64 x #s(literal 1 binary64)))
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(/.f64 (*.f64 (-.f64 #s(literal 1/9216 binary64) (*.f64 #s(literal 361/33177600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) (+.f64 #s(literal -1/96 binary64) (*.f64 #s(literal 19/5760 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/884736 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal -6859/191102976000 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (+.f64 (*.f64 (*.f64 x #s(literal -1/96 binary64)) (*.f64 x #s(literal -1/96 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -19/5760 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -19/5760 binary64))))) (*.f64 (*.f64 x #s(literal -1/96 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -19/5760 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/96 binary64)) (*.f64 x #s(literal -1/96 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -19/5760 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -19/5760 binary64))))))) (neg.f64 (-.f64 (*.f64 x #s(literal -1/96 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -19/5760 binary64)))))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -1/884736 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -6859/191102976000 binary64) (*.f64 x (*.f64 x x))))))) (neg.f64 (+.f64 #s(literal 1/9216 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/9216 binary64) (*.f64 #s(literal 361/33177600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (+.f64 #s(literal -1/96 binary64) (*.f64 #s(literal 19/5760 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1/884736 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -6859/191102976000 binary64) (*.f64 x (*.f64 x x))))) x)) (neg.f64 (+.f64 #s(literal 1/9216 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/9216 binary64) (*.f64 #s(literal 361/33177600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x)) (neg.f64 (+.f64 #s(literal -1/96 binary64) (*.f64 #s(literal 19/5760 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal -6859/191102976000 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/884736 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -19/5760 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -19/5760 binary64))))) (-.f64 (*.f64 (*.f64 x #s(literal -1/96 binary64)) (*.f64 x #s(literal -1/96 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -19/5760 binary64)))) (*.f64 x #s(literal -1/96 binary64))))))
(*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 x (*.f64 x #s(literal -19/5760 binary64)))))
(*.f64 (+.f64 #s(literal -1/96 binary64) (*.f64 x (*.f64 x #s(literal -19/5760 binary64)))) x)
(*.f64 x (*.f64 x #s(literal -19/5760 binary64)))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(*.f64 #s(literal -19/5760 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal -19/5760 binary64)) x)
(+.f64 (*.f64 x (*.f64 x #s(literal -1/96 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -19/5760 binary64))))))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/96 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -19/5760 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -19/5760 binary64)))) (*.f64 (*.f64 x x) #s(literal -1/96 binary64)))
(+.f64 (*.f64 (*.f64 x #s(literal -1/96 binary64)) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -19/5760 binary64)))) x))
(+.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) (*.f64 x x)) (*.f64 #s(literal -1/96 binary64) (*.f64 x x)))
(fma.f64 x (*.f64 x #s(literal -1/96 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -19/5760 binary64))))))
(fma.f64 (*.f64 x x) #s(literal -1/96 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -19/5760 binary64)))))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) (*.f64 (*.f64 x x) #s(literal -1/96 binary64)))
(fma.f64 #s(literal -1/96 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) (*.f64 x x)))
(fma.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) (*.f64 x x) (*.f64 #s(literal -1/96 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x #s(literal -1/96 binary64)) x (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -19/5760 binary64)))) x))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/884736 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -6859/191102976000 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/9216 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/9216 binary64) (*.f64 #s(literal 361/33177600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 #s(literal -1/96 binary64) (*.f64 #s(literal 19/5760 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/884736 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -6859/191102976000 binary64) (*.f64 x (*.f64 x x))))))) (neg.f64 (+.f64 #s(literal 1/9216 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/9216 binary64) (*.f64 #s(literal 361/33177600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (+.f64 #s(literal -1/96 binary64) (*.f64 #s(literal 19/5760 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x #s(literal -1/96 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -19/5760 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/96 binary64))) (*.f64 x (*.f64 x #s(literal -1/96 binary64)))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -19/5760 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -19/5760 binary64)))))) (*.f64 (*.f64 x (*.f64 x #s(literal -1/96 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -19/5760 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -19/5760 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/96 binary64)) (*.f64 (*.f64 x x) #s(literal -1/96 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -19/5760 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -19/5760 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/96 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -19/5760 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -19/5760 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -19/5760 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -19/5760 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/96 binary64)) (*.f64 (*.f64 x x) #s(literal -1/96 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -19/5760 binary64)))) (*.f64 (*.f64 x x) #s(literal -1/96 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x #s(literal -1/96 binary64)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -19/5760 binary64)))) x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal -1/96 binary64)) x) (*.f64 (*.f64 x #s(literal -1/96 binary64)) x)) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -19/5760 binary64)))) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -19/5760 binary64)))) x)) (*.f64 (*.f64 (*.f64 x #s(literal -1/96 binary64)) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -19/5760 binary64)))) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) (*.f64 #s(literal -1/96 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) (*.f64 x x))) (*.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) (*.f64 #s(literal -1/96 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) (*.f64 x x)) (*.f64 #s(literal -1/96 binary64) (*.f64 x x))))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 x (*.f64 x #s(literal -19/5760 binary64))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 x (*.f64 x #s(literal -19/5760 binary64)))))
(*.f64 (+.f64 #s(literal -1/96 binary64) (*.f64 x (*.f64 x #s(literal -19/5760 binary64)))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 x (*.f64 x #s(literal -19/5760 binary64))))) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) #s(literal -1/96 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1/96 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal -1/96 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1/96 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x x) #s(literal -1/96 binary64)))))
(/.f64 #s(literal -1/96 binary64) (*.f64 x x))
(/.f64 #s(literal -1/96 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal -1/96 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal -1/96 binary64) x))))
(/.f64 #s(literal 1/96 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/96 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 (/.f64 #s(literal -1/96 binary64) x) x)
(/.f64 (neg.f64 (/.f64 #s(literal -1/96 binary64) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1/96 binary64) x))) (neg.f64 (neg.f64 x)))
(pow.f64 (/.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal -1/96 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x)))
(*.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/96 binary64))
(*.f64 (/.f64 #s(literal -1/96 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1/96 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/96 binary64) x))

simplify304.0ms (1.4%)

Algorithm
egg-herbie
Rules
2882×*-lowering-*.f32
2882×*-lowering-*.f64
1836×+-lowering-+.f64
1836×+-lowering-+.f32
1432×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02683343
19112764
231502627
094022627
Stop Event
iter limit
node limit
Counts
240 → 240
Calls
Call 1
Inputs
(fmod x (sqrt (cos x)))
(+ (* -1 (* x (fmod x (sqrt (cos x))))) (fmod x (sqrt (cos x))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod x (sqrt (cos x)))) (* 1/2 (fmod x (sqrt (cos x))))))) (fmod x (sqrt (cos x))))) (fmod x (sqrt (cos x))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod x (sqrt (cos x)))) (* 1/2 (fmod x (sqrt (cos x)))))) (+ (* -1/2 (fmod x (sqrt (cos x)))) (* 1/6 (fmod x (sqrt (cos x)))))))) (+ (* -1 (fmod x (sqrt (cos x)))) (* 1/2 (fmod x (sqrt (cos x))))))) (fmod x (sqrt (cos x))))) (fmod x (sqrt (cos x))))
(/ (fmod x (sqrt (cos x))) (exp x))
(/ (fmod x (sqrt (cos x))) (exp x))
(/ (fmod x (sqrt (cos x))) (exp x))
(/ (fmod x (sqrt (cos x))) (exp x))
(/ (fmod x (sqrt (cos x))) (exp x))
(/ (fmod x (sqrt (cos x))) (exp x))
(/ (fmod x (sqrt (cos x))) (exp x))
(/ (fmod x (sqrt (cos x))) (exp x))
(fmod x (sqrt (cos x)))
(fmod x (sqrt (cos x)))
(fmod x (sqrt (cos x)))
(fmod x (sqrt (cos x)))
(fmod x (sqrt (cos x)))
(fmod x (sqrt (cos x)))
(fmod x (sqrt (cos x)))
(fmod x (sqrt (cos x)))
(fmod x (sqrt (cos x)))
(fmod x (sqrt (cos x)))
(fmod x (sqrt (cos x)))
(fmod x (sqrt (cos x)))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(fmod (exp x) (+ 1 (* -1/4 (pow x 2))))
(+ (* -1 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))
(+ (* x (- (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))
(+ (* x (- (* x (- (* -1 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (* -1 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))
(/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)
(/ (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)
(/ (- (+ (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 2)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) x)
(/ (- (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 3))) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 2))) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x))) x)
(/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)
(* -1 (/ (+ (* -1 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) x))
(* -1 (/ (+ (* -1 (/ (- (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)) (* -1 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)) (* -1 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))) x))
(fmod (exp x) (+ 1 (* -1/4 (pow x 2))))
(fmod (exp x) (+ 1 (* -1/4 (pow x 2))))
(fmod (exp x) (+ 1 (* -1/4 (pow x 2))))
(fmod (exp x) (+ 1 (* -1/4 (pow x 2))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* -1/4 (pow x 2)))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))) (* -1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(* 2 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))
(/ (+ (* -4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (* 4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* -2 (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))))) (pow x 3))) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (+ (* -8 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2))) (+ (* 4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))))) (pow x 2))
(* 2 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))
(/ (+ (* -4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))
(/ (+ (* -1 (/ (- (+ (* -8 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (* -4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 8 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))))) x)) (* -4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(* -1/96 (pow x 4))
(* (pow x 4) (- (* -19/5760 (pow x 2)) 1/96))
(* (pow x 4) (- (* -19/5760 (pow x 2)) 1/96))
(* (pow x 4) (- (* -19/5760 (pow x 2)) 1/96))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(+ (* -1 (* x (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))) (* 1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))) (* 1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))))) (+ (* -1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))) (* 1/6 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))))))) (+ (* -1 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))) (* 1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x))
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x))
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x))
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x))
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x))
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x))
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x))
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/96 x)
(* x (- (* -19/5760 (pow x 2)) 1/96))
(* x (- (* -19/5760 (pow x 2)) 1/96))
(* x (- (* -19/5760 (pow x 2)) 1/96))
(* -19/5760 (pow x 3))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -19/5760 (pow x 3))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -1/96 (pow x 2))
(* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))
(* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))
(* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))
(* -19/5760 (pow x 4))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -19/5760 (pow x 4))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(/ -1/96 (pow x 2))
(/ -1/96 (pow x 2))
(/ -1/96 (pow x 2))
(/ -1/96 (pow x 2))
(/ -1/96 (pow x 2))
(/ -1/96 (pow x 2))
(/ -1/96 (pow x 2))
(/ -1/96 (pow x 2))
(/ -1/96 (pow x 2))
(/ -1/96 (pow x 2))
(/ -1/96 (pow x 2))
(/ -1/96 (pow x 2))
Outputs
(fmod x (sqrt (cos x)))
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod x (sqrt (cos x))))) (fmod x (sqrt (cos x))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 x (sqrt.f64 (cos.f64 x))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod x (sqrt (cos x)))) (* 1/2 (fmod x (sqrt (cos x))))))) (fmod x (sqrt (cos x))))) (fmod x (sqrt (cos x))))
(+.f64 (*.f64 x (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fmod.f64 x (sqrt.f64 (cos.f64 x)))) (fmod.f64 x (sqrt.f64 (cos.f64 x))))) (fmod.f64 x (sqrt.f64 (cos.f64 x))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod x (sqrt (cos x)))) (* 1/2 (fmod x (sqrt (cos x)))))) (+ (* -1/2 (fmod x (sqrt (cos x)))) (* 1/6 (fmod x (sqrt (cos x)))))))) (+ (* -1 (fmod x (sqrt (cos x)))) (* 1/2 (fmod x (sqrt (cos x))))))) (fmod x (sqrt (cos x))))) (fmod x (sqrt (cos x))))
(+.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 x (sqrt.f64 (cos.f64 x)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (fmod.f64 x (sqrt.f64 (cos.f64 x)))) #s(literal 0 binary64))))) (fmod.f64 x (sqrt.f64 (cos.f64 x))))) (fmod.f64 x (sqrt.f64 (cos.f64 x))))
(/ (fmod x (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod x (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod x (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod x (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod x (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod x (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod x (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod x (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod x (sqrt (cos x)))
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
(fmod x (sqrt (cos x)))
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
(fmod x (sqrt (cos x)))
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
(fmod x (sqrt (cos x)))
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
(fmod x (sqrt (cos x)))
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
(fmod x (sqrt (cos x)))
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
(fmod x (sqrt (cos x)))
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
(fmod x (sqrt (cos x)))
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
(fmod x (sqrt (cos x)))
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
(fmod x (sqrt (cos x)))
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
(fmod x (sqrt (cos x)))
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
(fmod x (sqrt (cos x)))
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/96 binary64))) x) x))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(fmod (exp x) (+ 1 (* -1/4 (pow x 2))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))
(+ (* -1 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))
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(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))) (exp.f64 x))
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))) (exp.f64 x))
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))) (exp.f64 x))
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))) (exp.f64 x))
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))) (exp.f64 x))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x)))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x)))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x)))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x)))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x)))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x)))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x)))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x)))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x)))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x)))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x)))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))
(fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x)))))
(* -1/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/4 binary64)))
(* -1/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/4 binary64)))
(* -1/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/4 binary64)))
(* -1/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/4 binary64)))
(* -1/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/4 binary64)))
(* -1/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/4 binary64)))
(* -1/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/4 binary64)))
(* -1/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/4 binary64)))
(* -1/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/4 binary64)))
(* -1/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/4 binary64)))
(* -1/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/4 binary64)))
(* -1/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/4 binary64)))
(* -1/96 x)
(*.f64 x #s(literal -1/96 binary64))
(* x (- (* -19/5760 (pow x 2)) 1/96))
(*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
(* x (- (* -19/5760 (pow x 2)) 1/96))
(*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
(* x (- (* -19/5760 (pow x 2)) 1/96))
(*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
(* -19/5760 (pow x 3))
(*.f64 #s(literal -19/5760 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))
(* -19/5760 (pow x 3))
(*.f64 #s(literal -19/5760 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))
(* -19/5760 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(* -1/96 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/96 binary64))
(* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
(* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
(* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
(* -19/5760 (pow x 4))
(*.f64 #s(literal -19/5760 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))
(* -19/5760 (pow x 4))
(*.f64 #s(literal -19/5760 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))
(/ -1/96 (pow x 2))
(/.f64 #s(literal -1/96 binary64) (*.f64 x x))
(/ -1/96 (pow x 2))
(/.f64 #s(literal -1/96 binary64) (*.f64 x x))
(/ -1/96 (pow x 2))
(/.f64 #s(literal -1/96 binary64) (*.f64 x x))
(/ -1/96 (pow x 2))
(/.f64 #s(literal -1/96 binary64) (*.f64 x x))
(/ -1/96 (pow x 2))
(/.f64 #s(literal -1/96 binary64) (*.f64 x x))
(/ -1/96 (pow x 2))
(/.f64 #s(literal -1/96 binary64) (*.f64 x x))
(/ -1/96 (pow x 2))
(/.f64 #s(literal -1/96 binary64) (*.f64 x x))
(/ -1/96 (pow x 2))
(/.f64 #s(literal -1/96 binary64) (*.f64 x x))
(/ -1/96 (pow x 2))
(/.f64 #s(literal -1/96 binary64) (*.f64 x x))
(/ -1/96 (pow x 2))
(/.f64 #s(literal -1/96 binary64) (*.f64 x x))
(/ -1/96 (pow x 2))
(/.f64 #s(literal -1/96 binary64) (*.f64 x x))
(/ -1/96 (pow x 2))
(/.f64 #s(literal -1/96 binary64) (*.f64 x x))

eval2.0s (9.1%)

Compiler

Compiled 18480 to 1727 computations (90.7% saved)

prune85.0ms (0.4%)

Pruning

25 alts after pruning (24 fresh and 1 done)

PrunedKeptTotal
New63612648
Fresh61218
Picked505
Done112
Total64825673
Accuracy
64.9%
Counts
673 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.5%
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
39.2%
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
25.9%
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
5.2%
(/.f64 (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
6.0%
(/.f64 (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x))
5.2%
(/.f64 (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x)) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
7.2%
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
5.4%
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
13.2%
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (exp.f64 x))
7.1%
(/.f64 (fmod.f64 (+.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 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
16.0%
(/.f64 (fmod.f64 (+.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 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
16.9%
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
16.7%
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (exp.f64 x))
6.1%
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/96 binary64)))))) (exp.f64 x))
5.3%
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
6.2%
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (exp.f64 x))
6.2%
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 x))
1.2%
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
1.6%
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))))) (exp.f64 x))
2.6%
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (+.f64 x #s(literal 1 binary64)))
6.2%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))))
61.1%
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
15.1%
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
4.7%
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
5.0%
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
Compiler

Compiled 1016 to 650 computations (36% saved)

simplify269.0ms (1.2%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)))))
cost-diff0
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))))) (exp.f64 x))
cost-diff5824
(pow.f64 x #s(literal 6 binary64))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))
cost-diff0
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.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 (+.f64 #s(literal 1 binary64) (*.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 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
cost-diff0
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))
cost-diff0
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
cost-diff0
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
Rules
2618×*-lowering-*.f32
2618×*-lowering-*.f64
2184×fma-define
1808×fma-lowering-fma.f32
1808×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044511
1104446
2288443
3796443
41842443
52990443
64493443
08577443
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (fmod x 1) (exp x))
(fmod x 1)
x
1
(exp x)
(fmod 1 1)
1
(/ (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x 1/2)))))
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6))))))
1
(* x (+ 1 (* x (+ 1/2 (* x 1/6)))))
x
(+ 1 (* x (+ 1/2 (* x 1/6))))
(* x (+ 1/2 (* x 1/6)))
(+ 1/2 (* x 1/6))
1/2
(* x 1/6)
1/6
(+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))
(* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))
(* x x)
(+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))
-1/4
(* x (* x (+ -1/96 (* (* x x) -19/5760))))
(* x (+ -1/96 (* (* x x) -19/5760)))
(+ -1/96 (* (* x x) -19/5760))
-1/96
(* (* x x) -19/5760)
-19/5760
(+ 1 (* x (+ 1 (* x 1/2))))
(* x (+ 1 (* x 1/2)))
(+ 1 (* x 1/2))
(* x 1/2)
(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))))
(fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))))
(exp x)
x
(+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))
1
(* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))
(* x x)
(+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))
-1/4
(* x (* x (+ -1/96 (* (* x x) -19/5760))))
(* x (+ -1/96 (* (* x x) -19/5760)))
(+ -1/96 (* (* x x) -19/5760))
-1/96
(* (* x x) -19/5760)
-19/5760
(+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6))))))
(* 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))
1/2
(* x 1/6)
1/6
(/ (fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))) (exp x))
(fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x)))))
(exp x)
x
(* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))
(pow x 6)
6
(- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x)))
-19/5760
(/ (+ 1/96 (/ 1/4 (* x x))) (* x x))
(+ 1/96 (/ 1/4 (* x x)))
1/96
(/ 1/4 (* x x))
1/4
(* x x)
Outputs
(/ (fmod x 1) (exp x))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(exp x)
(exp.f64 x)
(fmod 1 1)
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x 1/2)))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))))
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.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 (* 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)))))
(* 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)
(+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))
(* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))
(* x x)
(*.f64 x x)
(+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))
(+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))
-1/4
#s(literal -1/4 binary64)
(* x (* x (+ -1/96 (* (* x x) -19/5760))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))
(* x (+ -1/96 (* (* x x) -19/5760)))
(*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
(+ -1/96 (* (* x x) -19/5760))
(+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))
-1/96
#s(literal -1/96 binary64)
(* (* x x) -19/5760)
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
-19/5760
#s(literal -19/5760 binary64)
(+ 1 (* x (+ 1 (* x 1/2))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(* x (+ 1 (* x 1/2)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 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))
(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))
(exp x)
(exp.f64 x)
x
(+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))
(* x x)
(*.f64 x x)
(+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))
(+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))
-1/4
#s(literal -1/4 binary64)
(* x (* x (+ -1/96 (* (* x x) -19/5760))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))
(* x (+ -1/96 (* (* x x) -19/5760)))
(*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
(+ -1/96 (* (* x x) -19/5760))
(+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))
-1/96
#s(literal -1/96 binary64)
(* (* x x) -19/5760)
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
-19/5760
#s(literal -19/5760 binary64)
(+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6))))))
(+.f64 #s(literal 1 binary64) (*.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 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))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 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)
(/ (fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x x))))) (exp.f64 x))
(fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x)))))
(fmod.f64 (exp.f64 x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x x)))))
(exp x)
(exp.f64 x)
x
(* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x x))))
(pow x 6)
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))
6
#s(literal 6 binary64)
(- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x)))
(+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x x)))
-19/5760
#s(literal -19/5760 binary64)
(/ (+ 1/96 (/ 1/4 (* x x))) (* x x))
(/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))
(+ 1/96 (/ 1/4 (* x x)))
(+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
1/96
#s(literal 1/96 binary64)
(/ 1/4 (* x x))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
1/4
#s(literal 1/4 binary64)
(* x x)
(*.f64 x x)

localize1.1s (5.1%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
accuracy99.2%
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))))) (exp.f64 x))
accuracy38.8%
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))))
accuracy34.3%
(fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)))))
accuracy99.9%
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
accuracy99.6%
(*.f64 x #s(literal 1/6 binary64))
accuracy99.6%
(*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
accuracy29.7%
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))
accuracy99.9%
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
accuracy99.6%
(*.f64 x #s(literal 1/6 binary64))
accuracy99.6%
(*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
accuracy29.9%
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))
accuracy100.0%
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
accuracy100.0%
(fmod.f64 x #s(literal 1 binary64))
accuracy100.0%
(exp.f64 x)
accuracy100.0%
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
Results
422.0ms58×5exit
391.0ms152×1valid
134.0ms40×2valid
5.0ms0valid
Compiler

Compiled 566 to 45 computations (92% saved)

Precisions
Click to see histograms. Total time spent on operations: 545.0ms
ival-fmod: 138.0ms (25.3% of total)
...c/correct-round.rkt:119:19: 94.0ms (17.2% of total)
backward-pass: 81.0ms (14.9% of total)
ival-mult: 74.0ms (13.6% of total)
ival-add: 48.0ms (8.8% of total)
ival-div: 45.0ms (8.3% of total)
ival-sub: 35.0ms (6.4% of total)
ival-exp: 14.0ms (2.6% of total)
ival-pow: 14.0ms (2.6% of total)
const: 3.0ms (0.6% of total)

series25.0ms (0.1%)

Counts
19 → 216
Calls
Call 1
Inputs
#<alt (/ (fmod x 1) (exp x))>
#<alt (fmod x 1)>
#<alt (exp x)>
#<alt (fmod 1 1)>
#<alt (/ (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x 1/2)))))>
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6))))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))>
#<alt (/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))))>
#<alt (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))))>
#<alt (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))>
#<alt (pow x 6)>
#<alt (/ (fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))) (exp x))>
#<alt (fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x)))))>
#<alt (* x (+ -1/96 (* (* x x) -19/5760)))>
#<alt (* x 1/6)>
#<alt (* (* x x) -19/5760)>
#<alt (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))>
#<alt (/ 1/4 (* x x))>
Outputs
#<alt (fmod x 1)>
#<alt (+ (* -1 (* x (fmod x 1))) (fmod x 1))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod x 1)) (* 1/2 (fmod x 1))))) (fmod x 1))) (fmod x 1))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod x 1)) (* 1/2 (fmod x 1)))) (+ (* -1/2 (fmod x 1)) (* 1/6 (fmod x 1)))))) (+ (* -1 (fmod x 1)) (* 1/2 (fmod x 1))))) (fmod x 1))) (fmod x 1))>
#<alt (/ (fmod x 1) (exp x))>
#<alt (/ (fmod x 1) (exp x))>
#<alt (/ (fmod x 1) (exp x))>
#<alt (/ (fmod x 1) (exp x))>
#<alt (/ (fmod x 1) (exp x))>
#<alt (/ (fmod x 1) (exp x))>
#<alt (/ (fmod x 1) (exp x))>
#<alt (/ (fmod x 1) (exp x))>
#<alt (fmod x 1)>
#<alt (fmod x 1)>
#<alt (fmod x 1)>
#<alt (fmod x 1)>
#<alt (fmod x 1)>
#<alt (fmod x 1)>
#<alt (fmod x 1)>
#<alt (fmod x 1)>
#<alt (fmod x 1)>
#<alt (fmod x 1)>
#<alt (fmod x 1)>
#<alt (fmod x 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (+ (* -1 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))) (* -1/2 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (+ (* -1 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))>
#<alt (* 2 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))>
#<alt (/ (+ (* -4 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 2 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))) (* 2 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (* 4 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* -2 (+ (* -8 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))))) (pow x 3))) (* 2 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (+ (* -8 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2))) (+ (* 4 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 4 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))))) (pow x 2))>
#<alt (* 2 (/ (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))>
#<alt (/ (+ (* -4 (/ (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 2 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -8 (/ (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 4 (/ (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (* -4 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 2 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -8 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 8 (/ (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (+ (* -8 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))))) x)) (* -4 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 2 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))>
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (* 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)) (/ 1 (pow x 3))))))>
#<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) (/ 1 (pow x 2)))) x)) 1/6)))>
#<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 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))>
#<alt (+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))) (+ (* -1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/6 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))))) (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))>
#<alt (* 6 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 3)))>
#<alt (/ (+ (* -18 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 6 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 3))>
#<alt (/ (- (+ (* -1 (/ (+ (* -54 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 36 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))) (* 6 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (* 18 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (pow x 3))>
#<alt (/ (- (+ (* -1 (/ (+ (* -108 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (+ (* -3 (+ (* -54 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 36 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))))) (* 36 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))))) (pow x 3))) (* 6 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (+ (* -54 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2))) (+ (* 18 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 36 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))))) (pow x 3))>
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#<alt 1>
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#<alt (* -19/5760 (pow x 6))>
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#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))>
#<alt (* -19/5760 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
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#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))>
#<alt (+ (* -1 (* x (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) (* 1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) (* 1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))))) (+ (* -1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) (* 1/6 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))))))) (+ (* -1 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) (* 1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))>
#<alt (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x))>
#<alt (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x))>
#<alt (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x))>
#<alt (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x))>
#<alt (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x))>
#<alt (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x))>
#<alt (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x))>
#<alt (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))>
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))>
#<alt (* -1/96 x)>
#<alt (* x (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* x (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* x (- (* -19/5760 (pow x 2)) 1/96))>
#<alt (* -19/5760 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -19/5760 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -19/5760 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))>
#<alt (* -19/5760 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))>
#<alt (* -19/5760 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
Calls

54 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
(/ (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x 1/2)))))
3.0ms
x
@inf
(/ (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x 1/2)))))
1.0ms
x
@inf
(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))))
1.0ms
x
@-inf
(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))))
1.0ms
x
@0
(/ (fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))) (exp x))

rewrite362.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
3714×*-lowering-*.f32
3714×*-lowering-*.f64
2392×/-lowering-/.f32
2392×/-lowering-/.f64
2190×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044252
1271220
22483219
08478219
Stop Event
iter limit
node limit
Counts
19 → 230
Calls
Call 1
Inputs
(/ (fmod x 1) (exp x))
(fmod x 1)
(exp x)
(fmod 1 1)
(/ (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x 1/2)))))
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6))))))
(* x (+ 1 (* x (+ 1/2 (* x 1/6)))))
(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))))
(fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))))
(+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))
(pow x 6)
(/ (fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))) (exp x))
(fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x)))))
(* x (+ -1/96 (* (* x x) -19/5760)))
(* x 1/6)
(* (* x x) -19/5760)
(* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))
(/ 1/4 (* x x))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (fmod.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 x #s(literal 1 binary64))) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 x #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(/.f64 (*.f64 (fmod.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (exp.f64 x) (fmod.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)))
(*.f64 (fmod.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (fmod.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(fmod.f64 x #s(literal 1 binary64))
(exp.f64 x)
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 x (*.f64 x #s(literal -19/5760 binary64))))))))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 x (*.f64 x #s(literal -19/5760 binary64))))))))) (+.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 x (*.f64 x #s(literal -19/5760 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 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 x (*.f64 x #s(literal -19/5760 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 x (*.f64 x #s(literal -19/5760 binary64)))))))))) #s(literal 1 binary64)))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 x (*.f64 x #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 x (*.f64 x #s(literal -19/5760 binary64)))))))))) (+.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 x (*.f64 x #s(literal -19/5760 binary64))))))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 x (*.f64 x #s(literal -19/5760 binary64))))))))))) (neg.f64 (+.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))))
(/.f64 (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 x (*.f64 x #s(literal -19/5760 binary64))))))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 x (*.f64 x #s(literal -19/5760 binary64)))))))))) #s(literal -1 binary64))
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(*.f64 #s(literal -19/5760 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal -19/5760 binary64)) x)
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(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/4 binary64) x)))
(/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
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(*.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/4 binary64) x))

simplify311.0ms (1.4%)

Algorithm
egg-herbie
Rules
2830×*-lowering-*.f32
2830×*-lowering-*.f64
2058×+-lowering-+.f64
2058×+-lowering-+.f32
1980×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03504654
111783755
245643678
080153678
Stop Event
iter limit
node limit
Counts
216 → 216
Calls
Call 1
Inputs
(fmod x 1)
(+ (* -1 (* x (fmod x 1))) (fmod x 1))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod x 1)) (* 1/2 (fmod x 1))))) (fmod x 1))) (fmod x 1))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod x 1)) (* 1/2 (fmod x 1)))) (+ (* -1/2 (fmod x 1)) (* 1/6 (fmod x 1)))))) (+ (* -1 (fmod x 1)) (* 1/2 (fmod x 1))))) (fmod x 1))) (fmod x 1))
(/ (fmod x 1) (exp x))
(/ (fmod x 1) (exp x))
(/ (fmod x 1) (exp x))
(/ (fmod x 1) (exp x))
(/ (fmod x 1) (exp x))
(/ (fmod x 1) (exp x))
(/ (fmod x 1) (exp x))
(/ (fmod x 1) (exp x))
(fmod x 1)
(fmod x 1)
(fmod x 1)
(fmod x 1)
(fmod x 1)
(fmod x 1)
(fmod x 1)
(fmod x 1)
(fmod x 1)
(fmod x 1)
(fmod x 1)
(fmod x 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(+ (* -1 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))) (* -1/2 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (+ (* -1 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(* 2 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))
(/ (+ (* -4 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 2 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -8 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))) (* 2 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (* 4 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -8 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* -2 (+ (* -8 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))))) (pow x 3))) (* 2 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (+ (* -8 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2))) (+ (* 4 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 4 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))))) (pow x 2))
(* 2 (/ (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))
(/ (+ (* -4 (/ (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 2 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))
(/ (+ (* -1 (/ (- (+ (* -8 (/ (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 4 (/ (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (* -4 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 2 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -8 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 8 (/ (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (+ (* -8 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))))) x)) (* -4 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 2 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* 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 (pow x 3))))))
(* 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) (/ 1 (pow x 2)))) x)) 1/6)))
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)))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))) (+ (* -1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/6 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))))) (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
(* 6 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 3)))
(/ (+ (* -18 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 6 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 3))
(/ (- (+ (* -1 (/ (+ (* -54 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 36 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))) (* 6 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (* 18 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (pow x 3))
(/ (- (+ (* -1 (/ (+ (* -108 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (+ (* -3 (+ (* -54 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 36 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))))) (* 36 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))))) (pow x 3))) (* 6 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (+ (* -54 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2))) (+ (* 18 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 36 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))))) (pow x 3))
(* 6 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ (* -6 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 18 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (pow x 3)))
(* -1 (/ (+ (* -6 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* -1 (/ (- (+ (* -36 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 54 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (* 18 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x))) (pow x 3)))
(* -1 (/ (+ (* -6 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (+ (* 3 (/ (+ (* -36 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 54 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 36 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)))) (+ (* -36 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 54 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))))) x)) (* 18 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x))) (pow x 3)))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(+ (* -1 (* x (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) (* 1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) (* 1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))))) (+ (* -1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) (* 1/6 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))))))) (+ (* -1 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) (* 1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x))
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x))
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x))
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x))
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x))
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x))
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x))
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))
(* -1/96 x)
(* x (- (* -19/5760 (pow x 2)) 1/96))
(* x (- (* -19/5760 (pow x 2)) 1/96))
(* x (- (* -19/5760 (pow x 2)) 1/96))
(* -19/5760 (pow x 3))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -19/5760 (pow x 3))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -19/5760 (pow x 2))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))
(* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))
(* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
Outputs
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(+ (* -1 (* x (fmod x 1))) (fmod x 1))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fmod.f64 x #s(literal 1 binary64)))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod x 1)) (* 1/2 (fmod x 1))))) (fmod x 1))) (fmod x 1))
(+.f64 (fmod.f64 x #s(literal 1 binary64)) (*.f64 x (-.f64 (*.f64 x (*.f64 (fmod.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (fmod.f64 x #s(literal 1 binary64)))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod x 1)) (* 1/2 (fmod x 1)))) (+ (* -1/2 (fmod x 1)) (* 1/6 (fmod x 1)))))) (+ (* -1 (fmod x 1)) (* 1/2 (fmod x 1))))) (fmod x 1))) (fmod x 1))
(+.f64 (fmod.f64 x #s(literal 1 binary64)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 (fmod.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 (fmod.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (fmod.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64))))))) (fmod.f64 x #s(literal 1 binary64)))))
(/ (fmod x 1) (exp x))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod x 1) (exp x))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod x 1) (exp x))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod x 1) (exp x))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod x 1) (exp x))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod x 1) (exp x))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod x 1) (exp x))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod x 1) (exp x))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))
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(* 2 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))
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(/ (+ (* -4 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 2 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))
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(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(* -19/5760 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -1/96 binary64)))))
(* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))
(*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))) #s(literal -1/4 binary64))))
(* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))
(*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))) #s(literal -1/4 binary64))))
(* -19/5760 (pow x 6))
(*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x)))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (neg.f64 (*.f64 x x)))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (neg.f64 (*.f64 x x)))))
(* -19/5760 (pow x 6))
(*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x)))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (neg.f64 (*.f64 x x)))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (neg.f64 (*.f64 x x)))))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))

eval161.0ms (0.7%)

Compiler

Compiled 28187 to 1515 computations (94.6% saved)

prune134.0ms (0.6%)

Pruning

31 alts after pruning (28 fresh and 3 done)

PrunedKeptTotal
New64917666
Fresh81119
Picked325
Done011
Total66031691
Accuracy
72.3%
Counts
691 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.4%
(fmod.f64 x #s(literal 1 binary64))
25.9%
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
5.2%
(/.f64 (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
15.1%
(/.f64 (fmod.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
5.4%
(/.f64 (fmod.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
7.2%
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
7.0%
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
5.4%
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
2.8%
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
13.2%
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (exp.f64 x))
16.0%
(/.f64 (fmod.f64 (+.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 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
16.9%
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
16.7%
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (exp.f64 x))
6.8%
(/.f64 (fmod.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 x))) (neg.f64 (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
5.5%
(/.f64 (fmod.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
4.5%
(/.f64 (fmod.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
3.1%
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (*.f64 (-.f64 #s(literal 361/33177600 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))))) (exp.f64 x))
2.4%
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (*.f64 (-.f64 #s(literal -6859/191102976000 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 361/33177600 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))))))) (exp.f64 x))
6.1%
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/96 binary64)))))) (exp.f64 x))
6.2%
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (exp.f64 x))
5.4%
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -1/96 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
5.3%
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
6.2%
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 x))
6.1%
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (exp.f64 x))
6.2%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))))
60.4%
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
60.4%
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
60.3%
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
61.1%
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
4.7%
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
5.0%
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
Compiler

Compiled 2317 to 740 computations (68.1% saved)

regimes69.0ms (0.3%)

Counts
64 → 3
Calls
Call 1
Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 x #s(literal 1 binary64))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (fmod.f64 (+.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 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))) #s(literal 1 binary64))
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.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 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (fmod.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 x))) (neg.f64 (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 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 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -1/96 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -1/96 binary64))))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/96 binary64)))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (exp.f64 x))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (*.f64 (-.f64 #s(literal 361/33177600 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (*.f64 (-.f64 #s(literal -6859/191102976000 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 361/33177600 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))))))) (exp.f64 x))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64)))) (exp.f64 x))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))) (exp.f64 x))
(/.f64 (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x)) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x)) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 x))
Outputs
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (exp.f64 x))
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x))
Calls

2 calls:

18.0ms
x
14.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
67.9%3x
61.1%1(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes22.0ms (0.1%)

Counts
48 → 3
Calls
Call 1
Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 x #s(literal 1 binary64))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (fmod.f64 (+.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 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))) #s(literal 1 binary64))
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.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 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (fmod.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 x))) (neg.f64 (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 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 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -1/96 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -1/96 binary64))))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/96 binary64)))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (exp.f64 x))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (*.f64 (-.f64 #s(literal 361/33177600 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (*.f64 (-.f64 #s(literal -6859/191102976000 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 361/33177600 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))))))) (exp.f64 x))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
Outputs
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (exp.f64 x))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
Calls

1 calls:

14.0ms
x
Results
AccuracySegmentsBranch
67.9%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes18.0ms (0.1%)

Counts
42 → 3
Calls
Call 1
Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 x #s(literal 1 binary64))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (fmod.f64 (+.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 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))) #s(literal 1 binary64))
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.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 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (fmod.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 x))) (neg.f64 (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 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 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -1/96 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -1/96 binary64))))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/96 binary64)))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
Outputs
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 x))) (neg.f64 (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
Calls

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
67.3%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

Counts
21 → 3
Calls
Call 1
Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 x #s(literal 1 binary64))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (fmod.f64 (+.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 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))) #s(literal 1 binary64))
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.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 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (fmod.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 x))) (neg.f64 (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
Outputs
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 x))) (neg.f64 (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(fmod.f64 x #s(literal 1 binary64))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
66.6%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0%)

Counts
18 → 2
Calls
Call 1
Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 x #s(literal 1 binary64))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (fmod.f64 (+.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 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))) #s(literal 1 binary64))
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.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 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (fmod.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
Outputs
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(fmod.f64 x #s(literal 1 binary64))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
63.4%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
6 → 1
Calls
Call 1
Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 x #s(literal 1 binary64))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
Outputs
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
60.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 x #s(literal 1 binary64))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
(fmod.f64 x #s(literal 1 binary64))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
60.4%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
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
Outputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
25.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch97.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
48.0ms
-4.555902335100665e-99
-1.0298220108093915e-109
21.0ms
-6.875496992479101e-13
-1.993187883869604e-18
Results
42.0ms160×1valid
16.0ms144×0valid
Compiler

Compiled 895 to 475 computations (46.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-exp: 14.0ms (32.4% of total)
ival-fmod: 14.0ms (32.4% of total)
ival-cos: 4.0ms (9.3% of total)
ival-sqrt: 4.0ms (9.3% of total)
ival-mult: 3.0ms (6.9% of total)
backward-pass: 3.0ms (6.9% of total)
ival-neg: 2.0ms (4.6% of total)
const: 0.0ms (0% of total)

bsearch75.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
49.0ms
-4.555902335100665e-99
-1.0298220108093915e-109
21.0ms
-6.875496992479101e-13
-1.993187883869604e-18
Results
43.0ms160×1valid
16.0ms144×0valid
Compiler

Compiled 875 to 465 computations (46.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-exp: 15.0ms (33% of total)
ival-fmod: 15.0ms (33% of total)
ival-cos: 4.0ms (8.8% of total)
ival-sqrt: 4.0ms (8.8% of total)
ival-mult: 3.0ms (6.6% of total)
backward-pass: 3.0ms (6.6% of total)
ival-neg: 2.0ms (4.4% of total)
const: 0.0ms (0% of total)

bsearch52.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
45.0ms
-4.555902335100665e-99
-1.0298220108093915e-109
4.0ms
-1.993187883869604e-18
-3.2183588372676937e-22
Results
37.0ms160×1valid
3.0ms16×0valid
Compiler

Compiled 717 to 433 computations (39.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-exp: 8.0ms (26.8% of total)
ival-fmod: 8.0ms (26.8% of total)
ival-mult: 3.0ms (10.1% of total)
ival-cos: 3.0ms (10.1% of total)
ival-sqrt: 3.0ms (10.1% of total)
backward-pass: 3.0ms (10.1% of total)
ival-neg: 2.0ms (6.7% of total)
const: 0.0ms (0% of total)

bsearch97.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
92.0ms
-4.555902335100665e-99
-1.0298220108093915e-109
2.0ms
-1.993187883869604e-18
-3.2183588372676937e-22
Results
46.0ms160×1valid
2.0ms16×0valid
Compiler

Compiled 687 to 413 computations (39.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-fmod: 16.0ms (42.5% of total)
ival-exp: 9.0ms (23.9% of total)
ival-cos: 3.0ms (8% of total)
ival-sqrt: 3.0ms (8% of total)
backward-pass: 3.0ms (8% of total)
ival-mult: 2.0ms (5.3% of total)
ival-neg: 2.0ms (5.3% of total)
const: 0.0ms (0% of total)

bsearch59.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
57.0ms
-4.343886593720949e-306
1.3987722177867925e-306
Results
27.0ms48×2valid
23.0ms80×1valid
Compiler

Compiled 191 to 123 computations (35.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-exp: 19.0ms (47.4% of total)
ival-fmod: 9.0ms (22.5% of total)
ival-cos: 3.0ms (7.5% of total)
backward-pass: 3.0ms (7.5% of total)
ival-sqrt: 3.0ms (7.5% of total)
ival-mult: 2.0ms (5% of total)
ival-neg: 1.0ms (2.5% of total)
const: 0.0ms (0% of total)

simplify47.0ms (0.2%)

Algorithm
egg-herbie
Rules
364×unsub-neg_binary64
330×distribute-lft-neg-in_binary64
250×neg-mul-1_binary64
210×cancel-sign-sub_binary64
168×neg-sub0_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
074318
1113316
2141316
3170314
4222314
5284314
6375314
7682314
8947314
91078314
101191314
111257314
121302314
131307314
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal -7139404462934685/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (exp.f64 x)) (/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal -7139404462934685/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (exp.f64 x)) (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))))
(if (<=.f64 x #s(literal -1298074214633707/1298074214633706907132624082305024 binary64)) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal -7060839510393891/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (/.f64 (fmod.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 x))) (neg.f64 (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))))
(if (<=.f64 x #s(literal -1298074214633707/1298074214633706907132624082305024 binary64)) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal -7060839510393891/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (/.f64 (fmod.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 x))) (neg.f64 (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (fmod.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (fmod.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(fmod.f64 x #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
Outputs
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal -7139404462934685/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (exp.f64 x)) (/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal -7139404462934685/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))))) (exp.f64 x)) (/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal -7139404462934685/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (exp.f64 x)) (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))))
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal -7139404462934685/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))))) (exp.f64 x)) (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))))
(if (<=.f64 x #s(literal -1298074214633707/1298074214633706907132624082305024 binary64)) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal -7060839510393891/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (/.f64 (fmod.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 x))) (neg.f64 (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))))
(if (<=.f64 x #s(literal -1298074214633707/1298074214633706907132624082305024 binary64)) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal -7060839510393891/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (/.f64 (fmod.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))))
(if (<=.f64 x #s(literal -1298074214633707/1298074214633706907132624082305024 binary64)) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal -7060839510393891/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (/.f64 (fmod.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 x))) (neg.f64 (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (fmod.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1298074214633707/1298074214633706907132624082305024 binary64)) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal -7060839510393891/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (/.f64 (fmod.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (fmod.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (fmod.f64 x #s(literal 1 binary64)))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(fmod.f64 x #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))

soundness3.8s (17.7%)

Rules
3714×*-lowering-*.f32
3714×*-lowering-*.f64
3180×*-lowering-*.f32
3180×*-lowering-*.f64
3044×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03504654
111783755
245643678
080153678
0810
11510
2269
3329
4419
5479
6559
7649
8659
0659
078395
1228360
2769347
33498334
08360334
044252
1271220
22483219
08478219
033149
1176136
21352117
09289117
02683343
19112764
231502627
094022627
039189
1233173
21951173
08667173
02622504
18652169
230712092
096972092
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
saturated
iter limit
node limit
Compiler

Compiled 1219 to 653 computations (46.4% saved)

preprocess66.0ms (0.3%)

Compiler

Compiled 652 to 160 computations (75.5% saved)

end0.0ms (0%)

Profiling

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