expfmod (used to be hard to sample)

Time bar (total: 20.2s)

analyze236.0ms (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: 138.0ms
ival-fmod: 50.0ms (36.3% of total)
ival-exp: 30.0ms (21.8% of total)
ival-cos: 17.0ms (12.4% of total)
ival-sqrt: 17.0ms (12.4% of total)
ival-mult: 11.0ms (8% of total)
ival-neg: 11.0ms (8% of total)
const: 1.0ms (0.7% of total)
backward-pass: 1.0ms (0.7% of total)

sample7.2s (35.9%)

Results
3.9s1523×5exit
1.3s4863×1valid
593.0ms1345×2valid
392.0ms3285×0invalid
235.0ms2048×0valid
Precisions
Click to see histograms. Total time spent on operations: 5.8s
ival-cos: 3.2s (55.3% of total)
ival-fmod: 900.0ms (15.5% of total)
ival-exp: 715.0ms (12.3% of total)
ival-sqrt: 441.0ms (7.6% of total)
backward-pass: 236.0ms (4.1% of total)
ival-mult: 166.0ms (2.9% of total)
ival-neg: 129.0ms (2.2% of total)
const: 13.0ms (0.2% of total)
Bogosity

preprocess26.0ms (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)))

explain615.0ms (3.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2020-202(1.1025317456994661e-204)(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
00-0-x
00-0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-(exp.f64 x)
00-0-(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
00-0-(cos.f64 x)
00-0-(sqrt.f64 (cos.f64 x))
Results
275.0ms306×1valid
253.0ms90×5exit
41.0ms86×2valid
4.0ms30×0valid
Compiler

Compiled 73 to 26 computations (64.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 449.0ms
ival-cos: 207.0ms (46.1% of total)
ival-fmod: 115.0ms (25.6% of total)
ival-exp: 77.0ms (17.1% of total)
backward-pass: 21.0ms (4.7% of total)
ival-sqrt: 15.0ms (3.3% of total)
ival-mult: 9.0ms (2% 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
8.2%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
8.2%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 21 to 14 computations (33.3% saved)

simplify6.0ms (0%)

Algorithm
egg-herbie
Localize:

Found 8 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))
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-diff64
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Rules
24×*-lowering-*.f32
24×*-lowering-*.f64
12×/-lowering-/.f32
12×/-lowering-/.f64
sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0953
11653
22751
33251
44151
54751
65551
76451
86551
06551
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))
(fmod (exp x) (sqrt (cos x)))
(exp x)
x
(sqrt (cos x))
(cos x)
(exp (neg x))
(neg x)
(/ (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 (neg 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)
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(neg x)
(-.f64 #s(literal 0 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)))
(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)

localize245.0ms (1.2%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
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))) (exp.f64 x))
accuracy25.7%
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy100.0%
(cos.f64 x)
accuracy100.0%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
accuracy100.0%
(sqrt.f64 (cos.f64 x))
accuracy25.7%
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Results
137.0ms45×5exit
62.0ms153×1valid
24.0ms43×2valid
2.0ms15×0valid
Compiler

Compiled 54 to 10 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 171.0ms
ival-cos: 99.0ms (57.9% of total)
ival-exp: 22.0ms (12.9% of total)
ival-fmod: 19.0ms (11.1% of total)
backward-pass: 11.0ms (6.4% of total)
ival-sqrt: 8.0ms (4.7% of total)
ival-div: 5.0ms (2.9% of total)
ival-mult: 5.0ms (2.9% of total)
ival-neg: 2.0ms (1.2% of total)
const: 0.0ms (0% of total)

series4.0ms (0%)

Counts
6 → 72
Calls
Call 1
Inputs
#<alt (* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (exp x)>
#<alt (sqrt (cos x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp 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 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (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 (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 (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 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

18 calls:

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

rewrite145.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1042×*-lowering-*.f32
1042×*-lowering-*.f64
1008×/-lowering-/.f32
1008×/-lowering-/.f64
328×frac-times
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
12331
28531
340631
0303031
Stop Event
iter limit
iter limit
node limit
Counts
6 → 192
Calls
Call 1
Inputs
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))
(fmod (exp x) (sqrt (cos x)))
(exp x)
(sqrt (cos x))
(/ (fmod (exp x) (sqrt (cos x))) (exp 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 #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))) (exp.f64 x)) #s(literal 1 binary64))
(/.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 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 (-.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)))))
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(/.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)) (/.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 x)) #s(literal 1 binary64))
(/.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 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 (-.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 #s(literal 1 binary64) (exp.f64 x)) (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 x)) #s(literal 1 binary64))
(*.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 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))) (-.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 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 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 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 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 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 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 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64))))) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 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))
(exp.f64 (log.f64 (cos.f64 x)))
(cos.f64 x)
(-.f64 (*.f64 (cos.f64 x) (cos.f64 #s(literal 0 binary64))) (*.f64 (sin.f64 x) (sin.f64 #s(literal 0 binary64))))
(-.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x)) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 x)))

simplify255.0ms (1.3%)

Algorithm
egg-herbie
Rules
2200×*-lowering-*.f32
2200×*-lowering-*.f64
1946×fmsub-define
1928×fma-lowering-fma.f32
1928×fma-lowering-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
095557
1285507
2929481
34019471
08490471
Stop Event
iter limit
node limit
Counts
72 → 72
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 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 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)))
(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))
(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))
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 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* 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 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal 1 binary64)))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos 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 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 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) (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 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(+ (* 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 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal 1 binary64)))))
(/ (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))
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 (*.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 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)

eval42.0ms (0.2%)

Compiler

Compiled 6626 to 580 computations (91.2% saved)

prune47.0ms (0.2%)

Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New40714421
Fresh000
Picked022
Done000
Total40716423
Accuracy
26.1%
Counts
423 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.5%
(/.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))
7.6%
(/.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))))))))) (exp.f64 x))
7.4%
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 x))
7.7%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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)))))))))) (exp.f64 x))
7.4%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (exp.f64 x))
8.1%
(/.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)))))
8.2%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
6.9%
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
21.7%
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
7.6%
(*.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))))))))) (exp.f64 (neg.f64 x)))
7.4%
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
6.7%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
8.2%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
6.8%
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
8.1%
(*.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))))
8.2%
(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)))))))
Compiler

Compiled 497 to 330 computations (33.6% saved)

simplify178.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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)))))))))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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))))))))))
cost-diff0
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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)))))))))) (exp.f64 x))
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-diff64
(*.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 (neg.f64 x)))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))
cost-diff64
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 (neg.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
(cos.f64 x)
cost-diff0
(sqrt.f64 (cos.f64 x))
cost-diff0
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
cost-diff0
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
Rules
4320×sum5-define
2848×sum4-define
2406×sum3-define
1984×fma-define
1348×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042390
1102352
2289350
3762350
41839350
52767350
63118350
76171350
87240350
97370350
107373350
117373350
08589350
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (fmod 1 (sqrt (cos x))) (exp x))
(fmod 1 (sqrt (cos x)))
1
(sqrt (cos x))
(cos x)
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)))) (exp (neg x)))
(fmod (exp x) (+ 1 (* x (* x -1/4))))
(exp x)
x
(+ 1 (* x (* x -1/4)))
1
(* x (* x -1/4))
(* x -1/4)
-1/4
(exp (neg x))
(neg x)
(* (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (exp (neg 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
(exp (neg x))
(neg x)
(/ (fmod (exp x) (sqrt (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720))))))))) (exp x))
(fmod (exp x) (sqrt (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720)))))))))
(exp x)
x
(sqrt (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720))))))))
(+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720)))))))
1
(* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720))))))
(* x x)
(+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720)))))
-1/2
(* x (* x (+ 1/24 (* (* x x) -1/720))))
(* x (+ 1/24 (* (* x x) -1/720)))
(+ 1/24 (* (* x x) -1/720))
1/24
(* (* x x) -1/720)
-1/720
Outputs
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(cos x)
(cos.f64 x)
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)))) (exp (neg x)))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x))
(fmod (exp x) (+ 1 (* x (* x -1/4))))
(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 (* x (* x -1/4)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(* x (* x -1/4))
(*.f64 #s(literal -1/4 binary64) (*.f64 x x))
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(neg x)
(-.f64 #s(literal 0 binary64) x)
(* (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (exp (neg 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)
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(neg x)
(-.f64 #s(literal 0 binary64) x)
(/ (fmod (exp x) (sqrt (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720))))))))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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)))))))))) (exp.f64 x))
(fmod (exp x) (sqrt (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720)))))))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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))))))))))
(exp x)
(exp.f64 x)
x
(sqrt (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720))))))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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)))))))))
(+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720))))))
(*.f64 (*.f64 x 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)))))))
(* x x)
(*.f64 x x)
(+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720)))))
(+.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))))))
-1/2
#s(literal -1/2 binary64)
(* x (* x (+ 1/24 (* (* x x) -1/720))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
(* x (+ 1/24 (* (* x x) -1/720)))
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))
(+ 1/24 (* (* x x) -1/720))
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))
1/24
#s(literal 1/24 binary64)
(* (* x x) -1/720)
(*.f64 (*.f64 x x) #s(literal -1/720 binary64))
-1/720
#s(literal -1/720 binary64)

localize518.0ms (2.6%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
accuracy99.8%
(*.f64 (*.f64 x x) #s(literal -1/720 binary64))
accuracy99.6%
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))
accuracy26.1%
(fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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))))))))))
accuracy99.9%
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
accuracy99.9%
(*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.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))))
accuracy26.1%
(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 (neg.f64 x))
accuracy100.0%
(exp.f64 x)
accuracy100.0%
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
accuracy26.1%
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))
accuracy100.0%
(exp.f64 x)
accuracy100.0%
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
accuracy26.1%
(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 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
accuracy59.7%
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
Results
276.0ms160×1valid
103.0ms43×2valid
54.0ms46×0invalid
4.0ms0valid
Compiler

Compiled 392 to 43 computations (89% saved)

Precisions
Click to see histograms. Total time spent on operations: 328.0ms
ival-fmod: 77.0ms (23.5% of total)
...c/correct-round.rkt:119:19: 59.0ms (18% of total)
ival-mult: 58.0ms (17.7% of total)
ival-add: 44.0ms (13.4% of total)
backward-pass: 22.0ms (6.7% of total)
ival-cos: 22.0ms (6.7% of total)
ival-exp: 19.0ms (5.8% of total)
ival-sqrt: 11.0ms (3.4% of total)
ival-div: 11.0ms (3.4% of total)
ival-neg: 2.0ms (0.6% of total)
const: 1.0ms (0.3% of total)

series24.0ms (0.1%)

Counts
23 → 276
Calls
Call 1
Inputs
#<alt (/ (fmod 1 (sqrt (cos x))) (exp x))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (sqrt (cos x))>
#<alt (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)))) (exp (neg x)))>
#<alt (fmod (exp x) (+ 1 (* x (* x -1/4))))>
#<alt (+ 1 (* x (* x -1/4)))>
#<alt (* (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (exp (neg 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 (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720))))))))) (exp x))>
#<alt (fmod (exp x) (sqrt (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720)))))))))>
#<alt (sqrt (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720))))))))>
#<alt (exp (neg x))>
#<alt (* x (+ -1/96 (* (* x x) -19/5760)))>
#<alt (* x (* x (+ -1/96 (* (* x x) -19/5760))))>
#<alt (* (* x x) -19/5760)>
#<alt (* x (+ 1/24 (* (* x x) -1/720)))>
#<alt (* (* x x) -1/720)>
#<alt (* x (* x (+ 1/24 (* (* x x) -1/720))))>
Outputs
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (fmod 1 (sqrt (cos x))))))) (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (fmod 1 (sqrt (cos x)))))) (+ (* -1/2 (fmod 1 (sqrt (cos x)))) (* 1/6 (fmod 1 (sqrt (cos x)))))))) (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (fmod 1 (sqrt (cos x))))))) (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x))))>
#<alt (/ (fmod 1 (sqrt (cos x))) (exp x))>
#<alt (/ (fmod 1 (sqrt (cos x))) (exp x))>
#<alt (/ (fmod 1 (sqrt (cos x))) (exp x))>
#<alt (/ (fmod 1 (sqrt (cos x))) (exp x))>
#<alt (/ (fmod 1 (sqrt (cos x))) (exp x))>
#<alt (/ (fmod 1 (sqrt (cos x))) (exp x))>
#<alt (/ (fmod 1 (sqrt (cos x))) (exp x))>
#<alt (/ (fmod 1 (sqrt (cos x))) (exp x))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (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)>
#<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 (* -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 (+ (* -1 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) (* 1/2 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) (* x (+ (* -1/6 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (* 1/2 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))>
#<alt (* (exp (neg x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))>
#<alt (* (exp (neg x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))>
#<alt (* (exp (neg x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))>
#<alt (* (exp (neg x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))>
#<alt (* (exp (* -1 x)) (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 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<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 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (* 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 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* x (+ (* -1/6 (* x (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)))))>
#<alt (* (exp (neg x)) (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))>
#<alt (* (exp (neg x)) (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))>
#<alt (* (exp (neg x)) (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))>
#<alt (* (exp (neg x)) (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))>
#<alt (* (exp (* -1 x)) (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 (* (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 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) (* 1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) (* 1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))))) (+ (* -1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) (* 1/6 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))))))) (+ (* -1 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) (* 1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))>
#<alt (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))>
#<alt (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))>
#<alt (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))>
#<alt (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))>
#<alt (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (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 (* (pow x 3) (sqrt -1/720))>
#<alt (* (pow x 3) (+ (sqrt -1/720) (* 1/48 (/ 1 (* (pow x 2) (sqrt -1/720))))))>
#<alt (* (pow x 3) (+ (sqrt -1/720) (+ (* -1/2 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (* (pow x 4) (sqrt -1/720)))) (/ 1/48 (* (pow x 2) (sqrt -1/720))))))>
#<alt (* (pow x 3) (+ (sqrt -1/720) (+ (* -1/2 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (* (pow x 4) (sqrt -1/720)))) (+ (* 1/2 (/ (- 1 (* -1/48 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (pow (sqrt -1/720) 2)))) (* (pow x 6) (sqrt -1/720)))) (/ 1/48 (* (pow x 2) (sqrt -1/720)))))))>
#<alt (* -1 (* (pow x 3) (sqrt -1/720)))>
#<alt (* -1 (* (pow x 3) (+ (sqrt -1/720) (* 1/48 (/ 1 (* (pow x 2) (sqrt -1/720)))))))>
#<alt (* -1 (* (pow x 3) (+ (sqrt -1/720) (+ (* -1/2 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (* (pow x 4) (sqrt -1/720)))) (/ 1/48 (* (pow x 2) (sqrt -1/720)))))))>
#<alt (* -1 (* (pow x 3) (+ (sqrt -1/720) (+ (* -1/2 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (* (pow x 4) (sqrt -1/720)))) (+ (* 1/2 (/ (- 1 (* -1/48 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (pow (sqrt -1/720) 2)))) (* (pow x 6) (sqrt -1/720)))) (/ 1/48 (* (pow x 2) (sqrt -1/720))))))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<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 (* -1/96 (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 (* -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 (* 1/24 x)>
#<alt (* x (+ 1/24 (* -1/720 (pow x 2))))>
#<alt (* x (+ 1/24 (* -1/720 (pow x 2))))>
#<alt (* x (+ 1/24 (* -1/720 (pow x 2))))>
#<alt (* -1/720 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))>
#<alt (* -1/720 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* -1/720 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
Calls

69 calls:

TimeVariablePointExpression
2.0ms
x
@0
(* (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (exp (neg x)))
1.0ms
x
@inf
(sqrt (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720))))))))
1.0ms
x
@0
(/ (fmod 1 (sqrt (cos x))) (exp x))
1.0ms
x
@0
(/ (fmod (exp x) (sqrt (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720))))))))) (exp x))
1.0ms
x
@inf
(/ (fmod (exp x) (sqrt (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720))))))))) (exp x))

rewrite297.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
4148×*-lowering-*.f32
4148×*-lowering-*.f64
3116×/-lowering-/.f32
3116×/-lowering-/.f64
2356×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042251
1212224
21735224
08319224
Stop Event
iter limit
node limit
Counts
23 → 312
Calls
Call 1
Inputs
(/ (fmod 1 (sqrt (cos x))) (exp x))
(fmod 1 (sqrt (cos x)))
(sqrt (cos x))
(cos x)
(/ (fmod (exp x) 1) (exp x))
(fmod (exp x) 1)
(exp x)
(* (fmod (exp x) (+ 1 (* x (* x -1/4)))) (exp (neg x)))
(fmod (exp x) (+ 1 (* x (* x -1/4))))
(+ 1 (* x (* x -1/4)))
(* (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (exp (neg 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 (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720))))))))) (exp x))
(fmod (exp x) (sqrt (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720)))))))))
(sqrt (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720))))))))
(exp (neg x))
(* x (+ -1/96 (* (* x x) -19/5760)))
(* x (* x (+ -1/96 (* (* x x) -19/5760))))
(* (* x x) -19/5760)
(* x (+ 1/24 (* (* x x) -1/720)))
(* (* x x) -1/720)
(* x (* x (+ 1/24 (* (* x x) -1/720))))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(neg.f64 (/.f64 (fmod.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))
(/.f64 (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(/.f64 (*.f64 (fmod.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (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 #s(literal 1 binary64) (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 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)))
(*.f64 (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (fmod.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(fmod.f64 #s(literal 1 binary64) (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 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.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 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
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(*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))
(*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) x)

simplify279.0ms (1.4%)

Algorithm
egg-herbie
Rules
3468×*-lowering-*.f32
3468×*-lowering-*.f64
2816×+-lowering-+.f64
2816×+-lowering-+.f32
1208×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02803440
19103034
232782951
090162951
Stop Event
iter limit
node limit
Counts
276 → 276
Calls
Call 1
Inputs
(fmod 1 (sqrt (cos x)))
(+ (* -1 (* x (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (fmod 1 (sqrt (cos x))))))) (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (fmod 1 (sqrt (cos x)))))) (+ (* -1/2 (fmod 1 (sqrt (cos x)))) (* 1/6 (fmod 1 (sqrt (cos x)))))))) (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (fmod 1 (sqrt (cos x))))))) (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x))))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (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 (* 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 (* -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 (+ (* -1 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) (* 1/2 (* x (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 (+ (* -1/6 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (* 1/2 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))
(* (exp (neg x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))
(* (exp (neg x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))
(* (exp (neg x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))
(* (exp (neg x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))
(* (exp (* -1 x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))
(* (exp (* -1 x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))
(* (exp (* -1 x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))
(* (exp (* -1 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))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
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 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (* 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 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* x (+ (* -1/6 (* x (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)))))
(* (exp (neg x)) (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))
(* (exp (neg x)) (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))
(* (exp (neg x)) (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))
(* (exp (neg x)) (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))
(* (exp (* -1 x)) (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))
(* (exp (* -1 x)) (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))
(* (exp (* -1 x)) (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))
(* (exp (* -1 x)) (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (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)))))))
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
(+ (* -1 (* x (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) (* 1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) (* 1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))))) (+ (* -1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) (* 1/6 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))))))) (+ (* -1 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) (* 1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
(/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))
(/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))
(/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))
(/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))
(/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))
(/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))
(/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))
(/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (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)))
(* (pow x 3) (sqrt -1/720))
(* (pow x 3) (+ (sqrt -1/720) (* 1/48 (/ 1 (* (pow x 2) (sqrt -1/720))))))
(* (pow x 3) (+ (sqrt -1/720) (+ (* -1/2 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (* (pow x 4) (sqrt -1/720)))) (/ 1/48 (* (pow x 2) (sqrt -1/720))))))
(* (pow x 3) (+ (sqrt -1/720) (+ (* -1/2 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (* (pow x 4) (sqrt -1/720)))) (+ (* 1/2 (/ (- 1 (* -1/48 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (pow (sqrt -1/720) 2)))) (* (pow x 6) (sqrt -1/720)))) (/ 1/48 (* (pow x 2) (sqrt -1/720)))))))
(* -1 (* (pow x 3) (sqrt -1/720)))
(* -1 (* (pow x 3) (+ (sqrt -1/720) (* 1/48 (/ 1 (* (pow x 2) (sqrt -1/720)))))))
(* -1 (* (pow x 3) (+ (sqrt -1/720) (+ (* -1/2 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (* (pow x 4) (sqrt -1/720)))) (/ 1/48 (* (pow x 2) (sqrt -1/720)))))))
(* -1 (* (pow x 3) (+ (sqrt -1/720) (+ (* -1/2 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (* (pow x 4) (sqrt -1/720)))) (+ (* 1/2 (/ (- 1 (* -1/48 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (pow (sqrt -1/720) 2)))) (* (pow x 6) (sqrt -1/720)))) (/ 1/48 (* (pow x 2) (sqrt -1/720))))))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(* -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))))))
(* -1/96 (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))))))
(* -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))
(* 1/24 x)
(* x (+ 1/24 (* -1/720 (pow x 2))))
(* x (+ 1/24 (* -1/720 (pow x 2))))
(* x (+ 1/24 (* -1/720 (pow x 2))))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 3))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))
(* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))
(* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
Outputs
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (fmod 1 (sqrt (cos x))))))) (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x))))
(+.f64 (*.f64 x (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (fmod 1 (sqrt (cos x)))))) (+ (* -1/2 (fmod 1 (sqrt (cos x)))) (* 1/6 (fmod 1 (sqrt (cos x)))))))) (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (fmod 1 (sqrt (cos x))))))) (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x))))
(+.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))) #s(literal 0 binary64))))) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod 1 (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.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 x (*.f64 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 (*.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 (*.f64 x 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)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1))
(*.f64 (-.f64 #s(literal 1 binary64) x) (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 (* -1/4 (pow x 2))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(+ (* -1 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(+ (* x (+ (* -1 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) (* 1/2 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))
(+.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (*.f64 x (*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(+ (* x (+ (* -1 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) (* x (+ (* -1/6 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (* 1/2 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))
(* (exp (neg x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x))
(* (exp (neg x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x))
(* (exp (neg x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x))
(* (exp (neg x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x))
(fmod (exp x) (+ 1 (* -1/4 (pow x 2))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(fmod (exp x) (+ 1 (* -1/4 (pow x 2))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(fmod (exp x) (+ 1 (* -1/4 (pow x 2))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(fmod (exp x) (+ 1 (* -1/4 (pow x 2))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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 (* -1/4 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(+ 1 (* -1/4 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(* -1/4 (pow x 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(* -1/4 (pow x 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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 (*.f64 x 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 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (+.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)))))))))
(+ (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (* 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 (fmod.f64 (exp.f64 x) (+.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)))))))) (*.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) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(+ (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* x (+ (* -1/6 (* x (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)))))
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(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* -1/720 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))

eval88.0ms (0.4%)

Compiler

Compiled 19165 to 1852 computations (90.3% saved)

prune109.0ms (0.5%)

Pruning

33 alts after pruning (27 fresh and 6 done)

PrunedKeptTotal
New66723690
Fresh549
Picked145
Done022
Total67333706
Accuracy
28.1%
Counts
706 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.5%
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
17.6%
(/.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))
7.7%
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.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))))) (+.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)))))))))))) (exp.f64 x))
7.6%
(/.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 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x))
7.6%
(/.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) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))) (exp.f64 x))
7.5%
(/.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))
7.4%
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 x))
7.2%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))))))))))) (exp.f64 x))
6.7%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
7.7%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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)))))))))) (exp.f64 x))
8.2%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
6.4%
(/.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))))))))
6.1%
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
6.9%
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
21.3%
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
7.7%
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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))))))))))))
7.4%
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
7.6%
(*.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 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 (neg.f64 x)))
6.9%
(*.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))))))))
7.6%
(*.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))))))))) (exp.f64 (neg.f64 x)))
6.3%
(*.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) x))
6.9%
(*.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 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))))
6.7%
(*.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 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
7.4%
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 (neg.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 (neg.f64 x)))
7.6%
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 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))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.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))))) (+.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))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 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))))))) (-.f64 (*.f64 x (*.f64 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))))))) #s(literal 1 binary64))))))) (exp.f64 (neg.f64 x)))
2.9%
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (exp.f64 (neg.f64 x)))
7.7%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
6.7%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
8.2%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
7.7%
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))))))) #s(literal -1 binary64)))
6.9%
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)))
8.2%
(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)))))))
Compiler

Compiled 1518 to 863 computations (43.1% saved)

simplify213.0ms (1.1%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.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
(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-diff64
(*.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 (neg.f64 x)))
cost-diff0
(/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1 binary64)))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1 binary64))))
cost-diff64
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))
cost-diff0
(*.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 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
cost-diff0
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
Rules
2130×sum4-define
2076×sum3-define
2052×fma-lowering-fma.f32
2052×fma-lowering-fma.f64
1866×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045353
1108326
2273312
3688312
41900312
54861312
08008312
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (fmod 1 1) (exp x))
(fmod 1 1)
1
(exp x)
x
(fmod (exp x) 1)
(exp x)
x
1
(* (fmod (exp x) (+ 1 (* x (* x -1/4)))) (+ 1 (* x (+ -1 (* x (+ 1/2 (* x -1/6)))))))
(fmod (exp x) (+ 1 (* x (* x -1/4))))
(exp x)
x
(+ 1 (* x (* x -1/4)))
1
(* x (* x -1/4))
(* x -1/4)
-1/4
(+ 1 (* x (+ -1 (* x (+ 1/2 (* x -1/6))))))
(* x (+ -1 (* x (+ 1/2 (* x -1/6)))))
(+ -1 (* x (+ 1/2 (* x -1/6))))
-1
(* x (+ 1/2 (* x -1/6)))
(+ 1/2 (* x -1/6))
1/2
(* x -1/6)
-1/6
(* (fmod (exp x) (/ (- (* 1/16 (* (* x x) (* x x))) 1) (- (* -1/4 (* x x)) 1))) (exp (neg x)))
(fmod (exp x) (/ (- (* 1/16 (* (* x x) (* x x))) 1) (- (* -1/4 (* x x)) 1)))
(exp x)
x
(/ (- (* 1/16 (* (* x x) (* x x))) 1) (- (* -1/4 (* x x)) 1))
(- (* 1/16 (* (* x x) (* x x))) 1)
(* 1/16 (* (* x x) (* x x)))
1/16
(* (* x x) (* x x))
(* x x)
1
(- (* -1/4 (* x x)) 1)
(* -1/4 (* x x))
-1/4
(exp (neg x))
(neg x)
(* (fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))) (exp (neg 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)
(exp (neg x))
(neg x)
Outputs
(/ (fmod 1 1) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(fmod 1 1)
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(exp x)
(exp.f64 x)
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)))) (+ 1 (* x (+ -1 (* x (+ 1/2 (* x -1/6)))))))
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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))))))))
(fmod (exp x) (+ 1 (* x (* x -1/4))))
(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 (* x (* x -1/4)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(* x (* x -1/4))
(*.f64 #s(literal -1/4 binary64) (*.f64 x x))
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 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)))))
-1
#s(literal -1 binary64)
(* x (+ 1/2 (* x -1/6)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))
(+ 1/2 (* x -1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* x -1/6)
(*.f64 x #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(* (fmod (exp x) (/ (- (* 1/16 (* (* x x) (* x x))) 1) (- (* -1/4 (* x x)) 1))) (exp (neg x)))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) (exp.f64 x))
(fmod (exp x) (/ (- (* 1/16 (* (* x x) (* x x))) 1) (- (* -1/4 (* x x)) 1)))
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(exp x)
(exp.f64 x)
x
(/ (- (* 1/16 (* (* x x) (* x x))) 1) (- (* -1/4 (* x x)) 1))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(- (* 1/16 (* (* x x) (* x x))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x)))))
(* 1/16 (* (* x x) (* x x)))
(*.f64 x (*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))))
1/16
#s(literal 1/16 binary64)
(* (* x x) (* x x))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x x)
(*.f64 x x)
1
#s(literal 1 binary64)
(- (* -1/4 (* x x)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(* -1/4 (* x x))
(*.f64 #s(literal -1/4 binary64) (*.f64 x x))
-1/4
#s(literal -1/4 binary64)
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(neg x)
(-.f64 #s(literal 0 binary64) x)
(* (fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))) (exp (neg 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))
(fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x)))))
(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 x)
(exp.f64 x)
x
(* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x 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))))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
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)
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(neg x)
(-.f64 #s(literal 0 binary64) x)

localize686.0ms (3.4%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))
accuracy99.8%
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
accuracy36.2%
(*.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))))
accuracy30.0%
(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)))))
accuracy100.0%
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
accuracy100.0%
(/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1 binary64)))
accuracy99.8%
(*.f64 (*.f64 x x) (*.f64 x x))
accuracy25.7%
(fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1 binary64))))
accuracy100.0%
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))
accuracy100.0%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))
accuracy99.5%
(*.f64 x #s(literal -1/6 binary64))
accuracy25.7%
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))
accuracy100.0%
(exp.f64 x)
accuracy25.7%
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
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)) (exp.f64 x))
accuracy100.0%
(exp.f64 x)
Results
235.0ms162×1valid
231.0ms45×5exit
103.0ms43×2valid
4.0ms0valid
Compiler

Compiled 363 to 46 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 418.0ms
ival-fmod: 156.0ms (37.3% of total)
ival-mult: 59.0ms (14.1% of total)
...c/correct-round.rkt:119:19: 51.0ms (12.2% of total)
backward-pass: 51.0ms (12.2% of total)
ival-div: 32.0ms (7.7% of total)
ival-exp: 19.0ms (4.5% of total)
ival-add: 16.0ms (3.8% of total)
ival-sub: 15.0ms (3.6% of total)
ival-pow: 14.0ms (3.3% of total)
ival-neg: 3.0ms (0.7% of total)
const: 3.0ms (0.7% of total)

series18.0ms (0.1%)

Counts
19 → 216
Calls
Call 1
Inputs
#<alt (/ (fmod 1 1) (exp x))>
#<alt (fmod 1 1)>
#<alt (exp x)>
#<alt (fmod (exp x) 1)>
#<alt (* (fmod (exp x) (+ 1 (* x (* x -1/4)))) (+ 1 (* x (+ -1 (* x (+ 1/2 (* x -1/6)))))))>
#<alt (fmod (exp x) (+ 1 (* x (* x -1/4))))>
#<alt (+ 1 (* x (* x -1/4)))>
#<alt (* (fmod (exp x) (/ (- (* 1/16 (* (* x x) (* x x))) 1) (- (* -1/4 (* x x)) 1))) (exp (neg x)))>
#<alt (fmod (exp x) (/ (- (* 1/16 (* (* x x) (* x x))) 1) (- (* -1/4 (* x x)) 1)))>
#<alt (/ (- (* 1/16 (* (* x x) (* x x))) 1) (- (* -1/4 (* x x)) 1))>
#<alt (* (fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))) (exp (neg x)))>
#<alt (fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x)))))>
#<alt (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))>
#<alt (* x -1/6)>
#<alt (* x (+ 1/2 (* x -1/6)))>
#<alt (* x (+ -1 (* x (+ 1/2 (* x -1/6)))))>
#<alt (* (* x x) (* x x))>
#<alt (/ 1/4 (* x x))>
#<alt (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))>
Outputs
#<alt (fmod 1 1)>
#<alt (+ (* -1 (* x (fmod 1 1))) (fmod 1 1))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1))))) (fmod 1 1))) (fmod 1 1))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1)))) (+ (* -1/2 (fmod 1 1)) (* 1/6 (fmod 1 1)))))) (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1))))) (fmod 1 1))) (fmod 1 1))>
#<alt (/ (fmod 1 1) (exp x))>
#<alt (/ (fmod 1 1) (exp x))>
#<alt (/ (fmod 1 1) (exp x))>
#<alt (/ (fmod 1 1) (exp x))>
#<alt (/ (fmod 1 1) (exp x))>
#<alt (/ (fmod 1 1) (exp x))>
#<alt (/ (fmod 1 1) (exp x))>
#<alt (/ (fmod 1 1) (exp 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 (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 (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 (+ (* -1 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) (* 1/2 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) (* x (+ (* -1/6 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (* 1/2 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))>
#<alt (* -1/6 (* (pow x 3) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))))>
#<alt (* (pow x 3) (+ (* -1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (* 1/2 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x))))>
#<alt (* (pow x 3) (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (* 1/2 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)))))>
#<alt (* (pow x 3) (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (+ (* 1/2 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 3))))))>
#<alt (* -1/6 (* (pow x 3) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (* 1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (* 1/2 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))) x)) (* 1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)) (* 1/2 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))) x)) (* 1/6 (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 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<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) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1)))>
#<alt (+ (* -1 (* x (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1))))) (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1)))) (* 1/2 (* x (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1))))))) (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1)))) (* x (+ (* -1/6 (* x (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1))))) (* 1/2 (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1)))))))) (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1))))>
#<alt (* (exp (neg x)) (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2)))))))>
#<alt (* (exp (neg x)) (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2)))))))>
#<alt (* (exp (neg x)) (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2)))))))>
#<alt (* (exp (neg x)) (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2)))))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2)))))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2)))))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2)))))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2)))))))>
#<alt (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1)))>
#<alt (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1)))>
#<alt (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1)))>
#<alt (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1)))>
#<alt (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2))))))>
#<alt (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2))))))>
#<alt (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2))))))>
#<alt (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2))))))>
#<alt (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2))))))>
#<alt (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2))))))>
#<alt (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2))))))>
#<alt (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2))))))>
#<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 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 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) (* 1/2 (* 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 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) (* x (+ (* -1/6 (* x (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)))))))))>
#<alt (* (exp (neg x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))>
#<alt (* (exp (neg x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))>
#<alt (* (exp (neg x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))>
#<alt (* (exp (neg x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))>
#<alt (* (exp (* -1 x)) (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 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))>
#<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 (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/6 x)))>
#<alt (* x (+ 1/2 (* -1/6 x)))>
#<alt (* x (+ 1/2 (* -1/6 x)))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (/ 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 (/ 1/4 (pow x 4))>
#<alt (/ (+ 1/4 (* 1/96 (pow x 2))) (pow x 4))>
#<alt (/ (+ 1/4 (* 1/96 (pow x 2))) (pow x 4))>
#<alt (/ (+ 1/4 (* 1/96 (pow x 2))) (pow x 4))>
#<alt (/ 1/96 (pow x 2))>
#<alt (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ 1/96 (pow x 2))>
#<alt (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))>
Calls

54 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/ (fmod 1 1) (exp x))
2.0ms
x
@0
(* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))
1.0ms
x
@inf
(/ (- (* 1/16 (* (* x x) (* x x))) 1) (- (* -1/4 (* x x)) 1))
1.0ms
x
@0
(* (fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))) (exp (neg x)))
1.0ms
x
@inf
(* (fmod (exp x) (+ 1 (* x (* x -1/4)))) (+ 1 (* x (+ -1 (* x (+ 1/2 (* x -1/6)))))))

rewrite427.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
5374×/-lowering-/.f32
5374×/-lowering-/.f64
4788×*-lowering-*.f32
4788×*-lowering-*.f64
1516×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045198
1242170
22045167
09579167
Stop Event
iter limit
node limit
Counts
19 → 464
Calls
Call 1
Inputs
(/ (fmod 1 1) (exp x))
(fmod 1 1)
(exp x)
(fmod (exp x) 1)
(* (fmod (exp x) (+ 1 (* x (* x -1/4)))) (+ 1 (* x (+ -1 (* x (+ 1/2 (* x -1/6)))))))
(fmod (exp x) (+ 1 (* x (* x -1/4))))
(+ 1 (* x (* x -1/4)))
(* (fmod (exp x) (/ (- (* 1/16 (* (* x x) (* x x))) 1) (- (* -1/4 (* x x)) 1))) (exp (neg x)))
(fmod (exp x) (/ (- (* 1/16 (* (* x x) (* x x))) 1) (- (* -1/4 (* x x)) 1)))
(/ (- (* 1/16 (* (* x x) (* x x))) 1) (- (* -1/4 (* x x)) 1))
(* (fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))) (exp (neg x)))
(fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x)))))
(* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))
(* x -1/6)
(* x (+ 1/2 (* x -1/6)))
(* x (+ -1 (* x (+ 1/2 (* x -1/6)))))
(* (* x x) (* x x))
(/ 1/4 (* x x))
(/ (+ 1/96 (/ 1/4 (* x x))) (* x x))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(neg.f64 (/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (exp.f64 x) (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))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(/.f64 (*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x)))
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (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))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(exp.f64 x)
(fmod.f64 (exp.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 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) (*.f64 x (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))))
(+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) (*.f64 x (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) #s(literal 2 binary64)) (-.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) (*.f64 x (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))))) (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) (*.f64 x (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))) #s(literal 2 binary64)) (-.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) (*.f64 x (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))))))
(fma.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) (*.f64 x (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))))
(fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(fma.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) (*.f64 x (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))))
(fma.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) (*.f64 x (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(fma.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) x) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) x (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) (*.f64 x (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) (*.f64 x (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))) #s(literal 2 binary64)) (*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) (*.f64 x (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))))))))
(/.f64 (-.f64 (pow.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) (*.f64 x (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))) #s(literal 2 binary64))) (-.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) (*.f64 x (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))))))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.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 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) (-.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.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 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 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))))))))
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x))
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/884736 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9216 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) (/.f64 (*.f64 x x) #s(literal 1/4 binary64))))))
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/9216 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 #s(literal 1/884736 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9216 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) (/.f64 (*.f64 x x) #s(literal 1/4 binary64))))) x))
(*.f64 (/.f64 (-.f64 #s(literal 1/9216 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)))

simplify254.0ms (1.3%)

Algorithm
egg-herbie
Rules
4012×*-lowering-*.f32
4012×*-lowering-*.f64
2158×+-lowering-+.f64
2158×+-lowering-+.f32
1116×fnmsub-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02272732
17452430
224882312
371692312
084302312
Stop Event
iter limit
node limit
Counts
216 → 216
Calls
Call 1
Inputs
(fmod 1 1)
(+ (* -1 (* x (fmod 1 1))) (fmod 1 1))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1))))) (fmod 1 1))) (fmod 1 1))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1)))) (+ (* -1/2 (fmod 1 1)) (* 1/6 (fmod 1 1)))))) (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1))))) (fmod 1 1))) (fmod 1 1))
(/ (fmod 1 1) (exp x))
(/ (fmod 1 1) (exp x))
(/ (fmod 1 1) (exp x))
(/ (fmod 1 1) (exp x))
(/ (fmod 1 1) (exp x))
(/ (fmod 1 1) (exp x))
(/ (fmod 1 1) (exp x))
(/ (fmod 1 1) (exp 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)
(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)
(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 (+ (* -1 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) (* 1/2 (* x (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 (+ (* -1/6 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (* 1/2 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))
(* -1/6 (* (pow x 3) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))))
(* (pow x 3) (+ (* -1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (* 1/2 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x))))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (* 1/2 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)))))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (+ (* 1/2 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 3))))))
(* -1/6 (* (pow x 3) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (* 1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (* 1/2 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))) x)) (* 1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)) (* 1/2 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))) x)) (* 1/6 (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))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
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) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1)))
(+ (* -1 (* x (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1))))) (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1))))
(+ (* x (+ (* -1 (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1)))) (* 1/2 (* x (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1))))))) (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1))))
(+ (* x (+ (* -1 (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1)))) (* x (+ (* -1/6 (* x (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1))))) (* 1/2 (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1)))))))) (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1))))
(* (exp (neg x)) (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2)))))))
(* (exp (neg x)) (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2)))))))
(* (exp (neg x)) (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2)))))))
(* (exp (neg x)) (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2)))))))
(* (exp (* -1 x)) (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2)))))))
(* (exp (* -1 x)) (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2)))))))
(* (exp (* -1 x)) (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2)))))))
(* (exp (* -1 x)) (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2)))))))
(fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1)))
(fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1)))
(fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1)))
(fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1)))
(fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2))))))
(fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2))))))
(fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2))))))
(fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2))))))
(fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2))))))
(fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2))))))
(fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2))))))
(fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2))))))
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 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 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) (* 1/2 (* 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 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) (* x (+ (* -1/6 (* x (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)))))))))
(* (exp (neg x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))
(* (exp (neg x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))
(* (exp (neg x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))
(* (exp (neg x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))
(* (exp (* -1 x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))
(* (exp (* -1 x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))
(* (exp (* -1 x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))
(* (exp (* -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))))))))
(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))))))))
(* -1/4 (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))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* 1/2 x)
(* x (+ 1/2 (* -1/6 x)))
(* x (+ 1/2 (* -1/6 x)))
(* x (+ 1/2 (* -1/6 x)))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(/ 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))
(/ 1/4 (pow x 4))
(/ (+ 1/4 (* 1/96 (pow x 2))) (pow x 4))
(/ (+ 1/4 (* 1/96 (pow x 2))) (pow x 4))
(/ (+ 1/4 (* 1/96 (pow x 2))) (pow x 4))
(/ 1/96 (pow x 2))
(/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))
(/ 1/96 (pow x 2))
(/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))
Outputs
(fmod 1 1)
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+ (* -1 (* x (fmod 1 1))) (fmod 1 1))
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1))))) (fmod 1 1))) (fmod 1 1))
(+.f64 (*.f64 x (*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1)))) (+ (* -1/2 (fmod 1 1)) (* 1/6 (fmod 1 1)))))) (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1))))) (fmod 1 1))) (fmod 1 1))
(+.f64 (*.f64 x (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (*.f64 x (*.f64 #s(literal 1/6 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))))) (*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(/ (fmod 1 1) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod 1 1) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod 1 1) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod 1 1) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod 1 1) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod 1 1) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod 1 1) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod 1 1) (exp x))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
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))))))
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(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(/ 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))
(/ 1/4 (pow x 4))
(/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ (+ 1/4 (* 1/96 (pow x 2))) (pow x 4))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x #s(literal 1/96 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(/ (+ 1/4 (* 1/96 (pow x 2))) (pow x 4))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x #s(literal 1/96 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(/ (+ 1/4 (* 1/96 (pow x 2))) (pow x 4))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x #s(literal 1/96 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(/ 1/96 (pow x 2))
(/.f64 #s(literal 1/96 binary64) (*.f64 x x))
(/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))
(/ 1/96 (pow x 2))
(/.f64 #s(literal 1/96 binary64) (*.f64 x x))
(/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))

eval93.0ms (0.5%)

Compiler

Compiled 25981 to 1995 computations (92.3% saved)

prune127.0ms (0.6%)

Pruning

43 alts after pruning (36 fresh and 7 done)

PrunedKeptTotal
New71220732
Fresh61622
Picked415
Done066
Total72243765
Accuracy
37.7%
Counts
765 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.7%
(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))
22.0%
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
21.3%
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
7.7%
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.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))))) (+.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)))))))))))) (exp.f64 x))
7.6%
(/.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 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x))
7.6%
(/.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) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))) (exp.f64 x))
7.5%
(/.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))
7.4%
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 x))
1.6%
(/.f64 (fmod.f64 (exp.f64 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 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (exp.f64 x))
7.2%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))))))))))) (exp.f64 x))
7.7%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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)))))))))) (exp.f64 x))
8.2%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
6.4%
(/.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))))))))
6.1%
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
6.9%
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
7.7%
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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))))))))))))
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 x (*.f64 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))))))))
12.9%
(*.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 x (*.f64 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))))))))
6.3%
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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))))))))
4.3%
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)))) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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))))))))
6.7%
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
4.1%
(*.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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.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 (neg.f64 x)))
3.5%
(*.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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 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 (neg.f64 x)))
6.9%
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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))))))))
7.3%
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))) (exp.f64 (neg.f64 x)))
7.6%
(*.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 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 (neg.f64 x)))
6.9%
(*.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))))))))
7.6%
(*.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))))))))) (exp.f64 (neg.f64 x)))
6.9%
(*.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 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))))
6.7%
(*.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 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
7.4%
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 (neg.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) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64)))) (*.f64 x x))))) (exp.f64 (neg.f64 x)))
3.0%
(*.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 1/884736 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9216 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) (/.f64 (*.f64 x x) #s(literal 1/4 binary64))))) x))))) (exp.f64 (neg.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 binary64) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))))) (exp.f64 (neg.f64 x)))
1.6%
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) #s(literal -1 binary64)))))) (exp.f64 (neg.f64 x)))
7.6%
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 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))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.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))))) (+.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))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 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))))))) (-.f64 (*.f64 x (*.f64 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))))))) #s(literal 1 binary64))))))) (exp.f64 (neg.f64 x)))
7.1%
(*.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 (neg.f64 x)))
2.9%
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 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))))))))
7.7%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
8.2%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
19.5%
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.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 (neg.f64 x)))
7.7%
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))))))) #s(literal -1 binary64)))
6.9%
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)))
Compiler

Compiled 2469 to 1357 computations (45% saved)

simplify247.0ms (1.2%)

Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 x)
cost-diff128
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 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))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.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))))) (+.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))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 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))))))) (-.f64 (*.f64 x (*.f64 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))))))) #s(literal 1 binary64))))))
cost-diff128
(fmod.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 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))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.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))))) (+.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))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 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))))))) (-.f64 (*.f64 x (*.f64 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))))))) #s(literal 1 binary64)))))))
cost-diff192
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 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))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.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))))) (+.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))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 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))))))) (-.f64 (*.f64 x (*.f64 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))))))) #s(literal 1 binary64))))))) (exp.f64 (neg.f64 x)))
cost-diff0
(+.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)))))))
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 (*.f64 x 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 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))) (exp.f64 x))
cost-diff0
(*.f64 x (*.f64 x #s(literal -1/4 binary64)))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
cost-diff0
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 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))))))))
cost-diff0
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff0
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
Rules
5398×+-lowering-+.f64
5398×+-lowering-+.f32
3408×*-lowering-*.f32
3408×*-lowering-*.f64
1348×sum3-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
047923
1146662
2668657
33794651
47329645
08078645
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(fmod (+ 1 x) 1)
(+ 1 x)
1
x
(fmod 1 1)
1
(* (fmod (exp x) (* x (* x -1/4))) (+ 1 (* x (+ -1 (* x (+ 1/2 (* x -1/6)))))))
(fmod (exp x) (* x (* x -1/4)))
(exp x)
x
(* x (* x -1/4))
(* x -1/4)
-1/4
(+ 1 (* x (+ -1 (* x (+ 1/2 (* x -1/6))))))
1
(* x (+ -1 (* x (+ 1/2 (* x -1/6)))))
(+ -1 (* x (+ 1/2 (* x -1/6))))
-1
(* x (+ 1/2 (* x -1/6)))
(+ 1/2 (* x -1/6))
1/2
(* x -1/6)
-1/6
(/ (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)))
(+ -1/96 (* (* x x) -19/5760))
-1/96
(* (* x x) -19/5760)
-19/5760
(* (fmod (exp x) (* (+ 1 (* (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) (* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))))) (/ 1 (+ 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)))))) (exp (neg x)))
(fmod (exp x) (* (+ 1 (* (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) (* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))))) (/ 1 (+ 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))))))
(exp x)
x
(* (+ 1 (* (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) (* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))))) (/ 1 (+ 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)))))
(+ 1 (* (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) (* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -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) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))))
(* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760))))))
(* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))
(+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760))))
-1/4
(* (* x x) (+ -1/96 (* (* x x) -19/5760)))
(* x x)
(+ -1/96 (* (* x x) -19/5760))
-1/96
(* (* x x) -19/5760)
-19/5760
(* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760))))))
(* (* x x) (* x x))
(* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))
(/ 1 (+ 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))))
(+ 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)))
(* (* 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))
(- (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) 1)
(exp (neg x))
(neg x)
Outputs
(fmod (+ 1 x) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(fmod 1 1)
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* (fmod (exp x) (* x (* x -1/4))) (+ 1 (* x (+ -1 (* x (+ 1/2 (* x -1/6)))))))
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 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))))))))
(fmod (exp x) (* x (* x -1/4)))
(fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
(exp x)
(exp.f64 x)
x
(* x (* x -1/4))
(*.f64 x (*.f64 x #s(literal -1/4 binary64)))
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 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))))))
(+ -1 (* x (+ 1/2 (* x -1/6))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))
-1
#s(literal -1 binary64)
(* x (+ 1/2 (* x -1/6)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))
(+ 1/2 (* x -1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* x -1/6)
(*.f64 x #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(/ (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 x (*.f64 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))))))))) (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 x (*.f64 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)))))))))
(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 x (*.f64 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))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))
(*.f64 x (*.f64 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)))))))
(* x x)
(*.f64 x x)
(+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760))))
(+.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)))))
-1/4
#s(literal -1/4 binary64)
(* (* x x) (+ -1/96 (* (* x x) -19/5760)))
(*.f64 (*.f64 x 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) (* (+ 1 (* (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) (* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))))) (/ 1 (+ 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)))))) (exp (neg x)))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.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))))) (*.f64 (+.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))))) (*.f64 x (*.f64 (+.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))))) (*.f64 x (*.f64 x (*.f64 x x))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.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))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 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)))))))))))))) (exp.f64 x))
(fmod (exp x) (* (+ 1 (* (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) (* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))))) (/ 1 (+ 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))))))
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.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))))) (*.f64 (+.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))))) (*.f64 x (*.f64 (+.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))))) (*.f64 x (*.f64 x (*.f64 x x))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.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))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 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))))))))))))))
(exp x)
(exp.f64 x)
x
(* (+ 1 (* (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) (* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))))) (/ 1 (+ 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)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.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))))) (*.f64 (+.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))))) (*.f64 x (*.f64 (+.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))))) (*.f64 x (*.f64 x (*.f64 x x))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.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))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 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)))))))))))))
(+ 1 (* (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) (* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.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))))) (*.f64 (+.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))))) (*.f64 x (*.f64 (+.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))))) (*.f64 x (*.f64 x (*.f64 x x)))))))))
1
#s(literal 1 binary64)
(* (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) (* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))))
(*.f64 x (*.f64 (+.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))))) (*.f64 (+.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))))) (*.f64 x (*.f64 (+.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))))) (*.f64 x (*.f64 x (*.f64 x x))))))))
(* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760))))))
(*.f64 x (*.f64 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)))))))
(* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))
(*.f64 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))))))
(+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760))))
(+.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)))))
-1/4
#s(literal -1/4 binary64)
(* (* x x) (+ -1/96 (* (* x x) -19/5760)))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
(* x x)
(*.f64 x x)
(+ -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)
(* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760))))))
(*.f64 (+.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))))) (*.f64 (+.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))))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (* x x) (* x x))
(*.f64 x (*.f64 x (*.f64 x x)))
(* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))
(*.f64 (+.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))))) (+.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))))))
(/ 1 (+ 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))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.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))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 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)))))))))))))
(+ 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)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.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))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 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))))))))))))
(* (* 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))
(*.f64 x (*.f64 (+.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))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 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)))))))))))
(- (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 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))))))))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(neg x)
(-.f64 #s(literal 0 binary64) x)

localize833.0ms (4.1%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
accuracy99.8%
(*.f64 (*.f64 x x) (*.f64 x x))
accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
accuracy25.7%
(fmod.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 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))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.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))))) (+.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))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 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))))))) (-.f64 (*.f64 x (*.f64 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))))))) #s(literal 1 binary64)))))))
accuracy100.0%
(*.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))))))
accuracy99.9%
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))
accuracy25.7%
(fmod.f64 (exp.f64 x) (+.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))))))))
accuracy100.0%
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 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))))))))
accuracy100.0%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))
accuracy99.5%
(*.f64 x #s(literal -1/6 binary64))
accuracy30.5%
(fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
accuracy100.0%
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) x)
accuracy26.1%
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
Results
311.0ms162×1valid
243.0ms45×5exit
111.0ms43×2valid
4.0ms0valid
Compiler

Compiled 936 to 48 computations (94.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 500.0ms
ival-fmod: 140.0ms (28% of total)
ival-mult: 121.0ms (24.2% of total)
backward-pass: 83.0ms (16.6% of total)
...c/correct-round.rkt:119:19: 61.0ms (12.2% of total)
ival-add: 43.0ms (8.6% of total)
ival-exp: 32.0ms (6.4% of total)
ival-div: 12.0ms (2.4% of total)
ival-sub: 4.0ms (0.8% of total)
ival-neg: 3.0ms (0.6% of total)
const: 2.0ms (0.4% of total)

series14.0ms (0.1%)

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

54 calls:

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

rewrite402.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
3388×*-lowering-*.f32
3388×*-lowering-*.f64
2138×fma-lowering-fma.f32
2138×fma-lowering-fma.f64
2110×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047228
1283201
22718201
08248201
Stop Event
iter limit
node limit
Counts
19 → 404
Calls
Call 1
Inputs
(fmod (+ 1 x) 1)
(+ 1 x)
(fmod 1 1)
(* (fmod (exp x) (* x (* x -1/4))) (+ 1 (* x (+ -1 (* x (+ 1/2 (* x -1/6)))))))
(fmod (exp x) (* x (* x -1/4)))
(exp x)
(* x (* x -1/4))
(/ (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) (* (+ 1 (* (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) (* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))))) (/ 1 (+ 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)))))) (exp (neg x)))
(fmod (exp x) (* (+ 1 (* (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) (* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))))) (/ 1 (+ 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))))))
(* (+ 1 (* (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) (* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))))) (/ 1 (+ 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)))))
(* x -1/6)
(* x (+ 1/2 (* x -1/6)))
(* (* x x) (+ -1/96 (* (* x x) -19/5760)))
(* (* x x) -19/5760)
(* (* x x) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))
(* (* x x) (* x x))
Outputs
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))))
(fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(fma.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) #s(literal 1 binary64) (*.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))))
(fma.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) (*.f64 x (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(fma.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) x) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) x (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) #s(literal 2 binary64)) (*.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))))))
(/.f64 (-.f64 (pow.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) #s(literal 2 binary64))) (-.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) (-.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))))) (-.f64 #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 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))))) (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) (-.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))) (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) #s(literal 2 binary64)) (*.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))))))
(/.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) (-.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))))) (neg.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 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))))) (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) (-.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))) (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) (neg.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 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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))))))))
(*.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))))))) (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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)
(*.f64 x (*.f64 x #s(literal -1/4 binary64)))
(*.f64 #s(literal -1/4 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal -1/4 binary64)) x)
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.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)))))))))) #s(literal -1 binary64)))
(neg.f64 (/.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) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(neg.f64 (/.f64 (-.f64 #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 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.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))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.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))))))))) #s(literal 1 binary64)))
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(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (neg.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (neg.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))) (neg.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (neg.f64 (-.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)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))) (*.f64 x x))) (neg.f64 (-.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)))))))
(*.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)))))))
(*.f64 x (*.f64 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)))))))
(*.f64 x (*.f64 (*.f64 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)))))) #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))))))
(*.f64 (*.f64 x x) (*.f64 (+.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))))) #s(literal 1 binary64)))
(*.f64 (+.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))))) (*.f64 x x))
(*.f64 (*.f64 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)))))) x)
(*.f64 (*.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)))))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (+.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)))))) (*.f64 x x))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 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))))))) x)
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))
(*.f64 (*.f64 x (*.f64 x x)) x)

simplify3.3s (16.6%)

Algorithm
egg-herbie
Rules
3778×*-lowering-*.f32
3778×*-lowering-*.f64
2478×+-lowering-+.f64
2478×+-lowering-+.f32
986×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02084093
16713518
223833316
084163316
Stop Event
iter limit
node limit
Counts
216 → 216
Calls
Call 1
Inputs
(fmod (+ 1 x) 1)
(fmod (+ 1 x) 1)
(fmod (+ 1 x) 1)
(fmod (+ 1 x) 1)
(fmod (+ 1 x) 1)
(fmod (+ 1 x) 1)
(fmod (+ 1 x) 1)
(fmod (+ 1 x) 1)
(fmod (- 1 (* -1 x)) 1)
(fmod (- 1 (* -1 x)) 1)
(fmod (- 1 (* -1 x)) 1)
(fmod (- 1 (* -1 x)) 1)
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)))
(fmod (exp x) (* -1/4 (pow x 2)))
(+ (* -1 (* x (fmod (exp x) (* -1/4 (pow x 2))))) (fmod (exp x) (* -1/4 (pow x 2))))
(+ (* x (+ (* -1 (fmod (exp x) (* -1/4 (pow x 2)))) (* 1/2 (* x (fmod (exp x) (* -1/4 (pow x 2))))))) (fmod (exp x) (* -1/4 (pow x 2))))
(+ (* x (+ (* -1 (fmod (exp x) (* -1/4 (pow x 2)))) (* x (+ (* -1/6 (* x (fmod (exp x) (* -1/4 (pow x 2))))) (* 1/2 (fmod (exp x) (* -1/4 (pow x 2)))))))) (fmod (exp x) (* -1/4 (pow x 2))))
(* -1/6 (* (pow x 3) (fmod (exp x) (* -1/4 (pow x 2)))))
(* (pow x 3) (+ (* -1/6 (fmod (exp x) (* -1/4 (pow x 2)))) (* 1/2 (/ (fmod (exp x) (* -1/4 (pow x 2))) x))))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (* -1/4 (pow x 2))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (* -1/4 (pow x 2)))) (* 1/2 (/ (fmod (exp x) (* -1/4 (pow x 2))) x)))))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (* -1/4 (pow x 2))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (* -1/4 (pow x 2)))) (+ (* 1/2 (/ (fmod (exp x) (* -1/4 (pow x 2))) x)) (/ (fmod (exp x) (* -1/4 (pow x 2))) (pow x 3))))))
(* -1/6 (* (pow x 3) (fmod (exp x) (* -1/4 (pow x 2)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (fmod (exp x) (* -1/4 (pow x 2))) x)) (* 1/6 (fmod (exp x) (* -1/4 (pow x 2)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (* -1/4 (pow x 2))) x)) (* 1/2 (fmod (exp x) (* -1/4 (pow x 2))))) x)) (* 1/6 (fmod (exp x) (* -1/4 (pow x 2)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (* -1/4 (pow x 2))) x)) (fmod (exp x) (* -1/4 (pow x 2)))) x)) (* 1/2 (fmod (exp x) (* -1/4 (pow x 2))))) x)) (* 1/6 (fmod (exp x) (* -1/4 (pow x 2)))))))
(fmod (exp x) (* -1/4 (pow x 2)))
(fmod (exp x) (* -1/4 (pow x 2)))
(fmod (exp x) (* -1/4 (pow x 2)))
(fmod (exp x) (* -1/4 (pow x 2)))
(fmod (exp x) (* -1/4 (pow x 2)))
(fmod (exp x) (* -1/4 (pow x 2)))
(fmod (exp x) (* -1/4 (pow x 2)))
(fmod (exp x) (* -1/4 (pow x 2)))
(fmod (exp x) (* -1/4 (pow x 2)))
(fmod (exp x) (* -1/4 (pow x 2)))
(fmod (exp x) (* -1/4 (pow x 2)))
(fmod (exp x) (* -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)
(* -1/4 (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))
(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) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1))))))
(+ (* -1 (* x (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1)))))))) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1)))))))
(+ (* x (+ (* -1 (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1))))))) (* 1/2 (* x (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1)))))))))) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1)))))))
(+ (* x (+ (* -1 (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1))))))) (* x (+ (* -1/6 (* x (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1)))))))) (* 1/2 (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1))))))))))) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1)))))))
(* (exp (neg x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))))
(* (exp (neg x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))))
(* (exp (neg x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))))
(* (exp (neg x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))))
(* (exp (* -1 x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))))
(* (exp (* -1 x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))))
(* (exp (* -1 x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))))
(* (exp (* -1 x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))))
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1))))))
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1))))))
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1))))))
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1))))))
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 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)))))))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* 1/2 x)
(* x (+ 1/2 (* -1/6 x)))
(* x (+ 1/2 (* -1/6 x)))
(* x (+ 1/2 (* -1/6 x)))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* -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))))))
(* -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))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
Outputs
(fmod (+ 1 x) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod (+ 1 x) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod (+ 1 x) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod (+ 1 x) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod (+ 1 x) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod (+ 1 x) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod (+ 1 x) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod (+ 1 x) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod (- 1 (* -1 x)) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod (- 1 (* -1 x)) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod (- 1 (* -1 x)) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod (- 1 (* -1 x)) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
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)
(fmod (exp x) (* -1/4 (pow x 2)))
(fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
(+ (* -1 (* x (fmod (exp x) (* -1/4 (pow x 2))))) (fmod (exp x) (* -1/4 (pow x 2))))
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(+ (* x (+ (* -1 (fmod (exp x) (* -1/4 (pow x 2)))) (* 1/2 (* x (fmod (exp x) (* -1/4 (pow x 2))))))) (fmod (exp x) (* -1/4 (pow x 2))))
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(+ (* x (+ (* -1 (fmod (exp x) (* -1/4 (pow x 2)))) (* x (+ (* -1/6 (* x (fmod (exp x) (* -1/4 (pow x 2))))) (* 1/2 (fmod (exp x) (* -1/4 (pow x 2)))))))) (fmod (exp x) (* -1/4 (pow x 2))))
(+.f64 (*.f64 x (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(* -1/6 (* (pow x 3) (fmod (exp x) (* -1/4 (pow x 2)))))
(*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 x #s(literal -1/6 binary64))))
(* (pow x 3) (+ (* -1/6 (fmod (exp x) (* -1/4 (pow x 2)))) (* 1/2 (/ (fmod (exp x) (* -1/4 (pow x 2))) x))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (* -1/4 (pow x 2))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (* -1/4 (pow x 2)))) (* 1/2 (/ (fmod (exp x) (* -1/4 (pow x 2))) x)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) #s(literal -1/6 binary64)) (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) x)))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (* -1/4 (pow x 2))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (* -1/4 (pow x 2)))) (+ (* 1/2 (/ (fmod (exp x) (* -1/4 (pow x 2))) x)) (/ (fmod (exp x) (* -1/4 (pow x 2))) (pow x 3))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) #s(literal -1/6 binary64)) (+.f64 (/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) x))))
(* -1/6 (* (pow x 3) (fmod (exp x) (* -1/4 (pow x 2)))))
(*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 x #s(literal -1/6 binary64))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (fmod (exp x) (* -1/4 (pow x 2))) x)) (* 1/6 (fmod (exp x) (* -1/4 (pow x 2)))))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (* -1/4 (pow x 2))) x)) (* 1/2 (fmod (exp x) (* -1/4 (pow x 2))))) x)) (* 1/6 (fmod (exp x) (* -1/4 (pow x 2)))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) #s(literal -1/6 binary64)) (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) x)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (* -1/4 (pow x 2))) x)) (fmod (exp x) (* -1/4 (pow x 2)))) x)) (* 1/2 (fmod (exp x) (* -1/4 (pow x 2))))) x)) (* 1/6 (fmod (exp x) (* -1/4 (pow x 2)))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (-.f64 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) #s(literal 1/2 binary64)) (/.f64 (-.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) x)) x)) x) (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) #s(literal 1/6 binary64)))))
(fmod (exp x) (* -1/4 (pow x 2)))
(fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
(fmod (exp x) (* -1/4 (pow x 2)))
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(* (exp (neg x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))))
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(* (exp (neg x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))))
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(* (exp (neg x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))))
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(* (exp (neg x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))))
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(* (exp (* -1 x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))))
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(* (exp (* -1 x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))))
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(* (exp (* -1 x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.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))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.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))))) (-.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (-.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))))) (*.f64 (*.f64 x x) (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64)))))))))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.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))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.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))))) (-.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (-.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))))) (*.f64 (*.f64 x x) (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64)))))))))) (exp.f64 x))
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1))))))
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))))))))))
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1))))))
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))))))))))
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1))))))
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))))))))))
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1))))))
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))))))))))
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.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))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.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))))) (-.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (-.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))))) (*.f64 (*.f64 x x) (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64))))))))))
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.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))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.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))))) (-.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (-.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))))) (*.f64 (*.f64 x x) (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64))))))))))
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.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))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.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))))) (-.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (-.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))))) (*.f64 (*.f64 x x) (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64))))))))))
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.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))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.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))))) (-.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (-.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))))) (*.f64 (*.f64 x x) (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64))))))))))
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.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))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.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))))) (-.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (-.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))))) (*.f64 (*.f64 x x) (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64))))))))))
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.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))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.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))))) (-.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (-.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))))) (*.f64 (*.f64 x x) (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64))))))))))
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.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))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.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))))) (-.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (-.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))))) (*.f64 (*.f64 x x) (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64))))))))))
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.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))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.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))))) (-.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (-.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))))) (*.f64 (*.f64 x x) (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64))))))))))
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 x (*.f64 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 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 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)) (+.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))) (*.f64 x x))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (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 x) (*.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)) (+.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))) (*.f64 x x))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (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 x) (*.f64 x x)))))))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/6 x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))
(* x (+ 1/2 (* -1/6 x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))
(* x (+ 1/2 (* -1/6 x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* -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 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))
(* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))
(* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 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))))
(* -19/5760 (pow x 2))
(*.f64 x (*.f64 x #s(literal -19/5760 binary64)))
(* -19/5760 (pow x 2))
(*.f64 x (*.f64 x #s(literal -19/5760 binary64)))
(* -19/5760 (pow x 2))
(*.f64 x (*.f64 x #s(literal -19/5760 binary64)))
(* -19/5760 (pow x 2))
(*.f64 x (*.f64 x #s(literal -19/5760 binary64)))
(* -19/5760 (pow x 2))
(*.f64 x (*.f64 x #s(literal -19/5760 binary64)))
(* -19/5760 (pow x 2))
(*.f64 x (*.f64 x #s(literal -19/5760 binary64)))
(* -19/5760 (pow x 2))
(*.f64 x (*.f64 x #s(literal -19/5760 binary64)))
(* -19/5760 (pow x 2))
(*.f64 x (*.f64 x #s(literal -19/5760 binary64)))
(* -19/5760 (pow x 2))
(*.f64 x (*.f64 x #s(literal -19/5760 binary64)))
(* -19/5760 (pow x 2))
(*.f64 x (*.f64 x #s(literal -19/5760 binary64)))
(* -19/5760 (pow x 2))
(*.f64 x (*.f64 x #s(literal -19/5760 binary64)))
(* -19/5760 (pow x 2))
(*.f64 x (*.f64 x #s(literal -19/5760 binary64)))
(* -1/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/4 binary64)))
(* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x 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 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #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 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 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)) (+.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))) (*.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))) (*.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)) (+.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))) (*.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))) (*.f64 x x))))
(pow x 4)
(*.f64 (*.f64 x x) (*.f64 x x))
(pow x 4)
(*.f64 (*.f64 x x) (*.f64 x x))
(pow x 4)
(*.f64 (*.f64 x x) (*.f64 x x))
(pow x 4)
(*.f64 (*.f64 x x) (*.f64 x x))
(pow x 4)
(*.f64 (*.f64 x x) (*.f64 x x))
(pow x 4)
(*.f64 (*.f64 x x) (*.f64 x x))
(pow x 4)
(*.f64 (*.f64 x x) (*.f64 x x))
(pow x 4)
(*.f64 (*.f64 x x) (*.f64 x x))
(pow x 4)
(*.f64 (*.f64 x x) (*.f64 x x))
(pow x 4)
(*.f64 (*.f64 x x) (*.f64 x x))
(pow x 4)
(*.f64 (*.f64 x x) (*.f64 x x))
(pow x 4)
(*.f64 (*.f64 x x) (*.f64 x x))

eval193.0ms (1%)

Compiler

Compiled 74178 to 2855 computations (96.2% saved)

prune266.0ms (1.3%)

Pruning

45 alts after pruning (36 fresh and 9 done)

PrunedKeptTotal
New9469955
Fresh42731
Picked235
Done167
Total95345998
Accuracy
71.3%
Counts
998 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.4%
(fmod.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
11.9%
(fmod.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
15.7%
(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))
22.0%
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
11.9%
(fmod.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64))
54.6%
(fmod.f64 x #s(literal 1 binary64))
21.3%
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
7.7%
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.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))))) (+.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)))))))))))) (exp.f64 x))
7.6%
(/.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 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 x))
7.0%
(/.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) (+.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))))))))
7.6%
(/.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) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))) (exp.f64 x))
7.5%
(/.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))
7.4%
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 x))
7.6%
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.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)))))) (+.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)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.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))))) (+.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)))))) (*.f64 (+.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))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))) (exp.f64 x))
1.6%
(/.f64 (fmod.f64 (exp.f64 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 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (exp.f64 x))
7.2%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))))))))))) (exp.f64 x))
7.7%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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)))))))))) (exp.f64 x))
8.2%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
6.4%
(/.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))))))))
6.1%
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
6.9%
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
7.7%
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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))))))))))))
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 x (*.f64 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))))))))
12.9%
(*.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 x (*.f64 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))))))))
6.3%
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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))))))))
4.3%
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)))) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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))))))))
6.7%
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
4.1%
(*.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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.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 (neg.f64 x)))
3.5%
(*.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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 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 (neg.f64 x)))
6.9%
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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))))))))
7.3%
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))) (exp.f64 (neg.f64 x)))
7.6%
(*.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 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 (neg.f64 x)))
7.6%
(*.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))))))))) (exp.f64 (neg.f64 x)))
6.9%
(*.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 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))))
6.7%
(*.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 (+.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) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64)))) (*.f64 x x))))) (exp.f64 (neg.f64 x)))
3.0%
(*.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 1/884736 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9216 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) (/.f64 (*.f64 x x) #s(literal 1/4 binary64))))) x))))) (exp.f64 (neg.f64 x)))
1.6%
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) #s(literal -1 binary64)))))) (exp.f64 (neg.f64 x)))
7.1%
(*.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 (neg.f64 x)))
7.7%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
8.2%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
19.5%
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.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 (neg.f64 x)))
3.3%
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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))))))))
7.6%
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.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)))))))))) #s(literal -1 binary64)))
6.9%
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)))
Compiler

Compiled 3079 to 1061 computations (65.5% saved)

regimes50.0ms (0.2%)

Counts
68 → 5
Calls
Call 1
Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 x #s(literal 1 binary64))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(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))
(fmod.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(fmod.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(fmod.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64))
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (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 x (*.f64 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 (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 x (*.f64 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))))))))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) 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) x))
(/.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) #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 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (exp.f64 x) (*.f64 x (*.f64 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 (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 (+.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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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))))))))
(*.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))))))))
(/.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) (+.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 (exp.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)))) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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))))))))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))) (exp.f64 (neg.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 #s(literal 1 binary64) (*.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 (neg.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 #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)))))))) (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 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 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 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 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 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 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 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (fmod.f64 (exp.f64 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 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (exp.f64 x))
(*.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 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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)))))))))) (+.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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.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 (neg.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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 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 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.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)))))) (+.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)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.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))))) (+.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)))))) (*.f64 (+.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))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 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))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.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))))) (+.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))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 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))))))) (-.f64 (*.f64 x (*.f64 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))))))) #s(literal 1 binary64))))))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(*.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 (neg.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 binary64) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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)))))))))) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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))))))))))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 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 (+.f64 #s(literal 1/884736 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9216 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) (/.f64 (*.f64 x x) #s(literal 1/4 binary64))))) x))))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.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))))) (+.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)))))))))))) (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)))
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.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)))))))))) #s(literal -1 binary64)))
(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 (*.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 (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 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) #s(literal -1 binary64)))))) (exp.f64 (neg.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) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64)))) (*.f64 x x))))) (exp.f64 (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))))))) #s(literal -1 binary64)))
Outputs
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 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 (neg.f64 x)))
(*.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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.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 (neg.f64 x)))
(*.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 (neg.f64 x)))
(fmod.f64 x #s(literal 1 binary64))
Calls

2 calls:

20.0ms
x
17.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
67.1%5x
59.8%3(*.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
44 → 4
Calls
Call 1
Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 x #s(literal 1 binary64))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(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))
(fmod.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(fmod.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(fmod.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64))
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (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 x (*.f64 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 (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 x (*.f64 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))))))))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) 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) x))
(/.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) #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 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (exp.f64 x) (*.f64 x (*.f64 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 (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 (+.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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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))))))))
(*.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))))))))
(/.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) (+.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 (exp.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)))) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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))))))))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))) (exp.f64 (neg.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 #s(literal 1 binary64) (*.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 (neg.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 #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)))))))) (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 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 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 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 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 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 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 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (fmod.f64 (exp.f64 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 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (exp.f64 x))
(*.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 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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)))))))))) (+.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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.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 (neg.f64 x)))
Outputs
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(*.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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.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 (neg.f64 x)))
(*.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 (neg.f64 x)))
(fmod.f64 x #s(literal 1 binary64))
Calls

1 calls:

15.0ms
x
Results
AccuracySegmentsBranch
64.9%4x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes19.0ms (0.1%)

Counts
43 → 3
Calls
Call 1
Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 x #s(literal 1 binary64))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(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))
(fmod.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(fmod.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(fmod.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64))
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (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 x (*.f64 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 (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 x (*.f64 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))))))))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) 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) x))
(/.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) #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 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (exp.f64 x) (*.f64 x (*.f64 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 (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 (+.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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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))))))))
(*.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))))))))
(/.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) (+.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 (exp.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)))) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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))))))))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))) (exp.f64 (neg.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 #s(literal 1 binary64) (*.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 (neg.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 #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)))))))) (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 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 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 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 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 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 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 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (fmod.f64 (exp.f64 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 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (exp.f64 x))
(*.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 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
Outputs
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(*.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 (neg.f64 x)))
(fmod.f64 x #s(literal 1 binary64))
Calls

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
62.3%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes28.0ms (0.1%)

Counts
41 → 2
Calls
Call 1
Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 x #s(literal 1 binary64))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(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))
(fmod.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(fmod.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(fmod.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64))
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (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 x (*.f64 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 (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 x (*.f64 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))))))))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) 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) x))
(/.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) #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 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (exp.f64 x) (*.f64 x (*.f64 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 (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 (+.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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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))))))))
(*.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))))))))
(/.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) (+.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 (exp.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)))) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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))))))))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))) (exp.f64 (neg.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 #s(literal 1 binary64) (*.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 (neg.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 #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)))))))) (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 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 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 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 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 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 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 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (fmod.f64 (exp.f64 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 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (exp.f64 x))
Outputs
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(fmod.f64 x #s(literal 1 binary64))
Calls

1 calls:

24.0ms
x
Results
AccuracySegmentsBranch
57.3%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts
24 → 2
Calls
Call 1
Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 x #s(literal 1 binary64))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(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))
(fmod.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(fmod.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(fmod.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64))
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (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 x (*.f64 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 (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 x (*.f64 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))))))))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) 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) x))
(/.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) #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 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (exp.f64 x) (*.f64 x (*.f64 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 (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 (+.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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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))))))))
(*.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))))))))
(/.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) (+.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 (exp.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)))) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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))))))))
Outputs
(/.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))))))))
(fmod.f64 x #s(literal 1 binary64))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
56.8%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0%)

Counts
16 → 2
Calls
Call 1
Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 x #s(literal 1 binary64))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(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))
(fmod.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(fmod.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(fmod.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64))
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (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 x (*.f64 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 (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 x (*.f64 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))))))))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) 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) x))
(/.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))
Outputs
(*.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 x (*.f64 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))))))))
(fmod.f64 x #s(literal 1 binary64))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
56.8%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts
10 → 2
Calls
Call 1
Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 x #s(literal 1 binary64))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(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))
(fmod.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(fmod.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(fmod.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64))
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (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 x (*.f64 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))))))))
Outputs
(*.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 x (*.f64 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))))))))
(fmod.f64 x #s(literal 1 binary64))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
56.7%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
56.5%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
54.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(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
21.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch173.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
67.0ms
-3.2936032784920835e-106
-2.6780223745465953e-109
31.0ms
-4.141255148434062e-53
-2.954608249186456e-55
37.0ms
-6.638834200015752e-38
-3.92547306562398e-43
21.0ms
-1.289693826453316e-14
-3.9426195950431576e-21
Results
119.0ms384×1valid
15.0ms144×0valid
Compiler

Compiled 3154 to 1255 computations (60.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 111.0ms
ival-fmod: 54.0ms (48.4% of total)
ival-exp: 22.0ms (19.7% of total)
ival-cos: 11.0ms (9.9% of total)
ival-sqrt: 7.0ms (6.3% of total)
ival-mult: 6.0ms (5.4% of total)
backward-pass: 5.0ms (4.5% of total)
ival-neg: 5.0ms (4.5% of total)
const: 0.0ms (0% of total)

bsearch98.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
36.0ms
-3.2936032784920835e-106
-2.6780223745465953e-109
32.0ms
-4.141255148434062e-53
-2.954608249186456e-55
22.0ms
-1.289693826453316e-14
-3.9426195950431576e-21
Results
57.0ms240×1valid
17.0ms144×0valid
Compiler

Compiled 1606 to 751 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-exp: 16.0ms (29.3% of total)
ival-fmod: 15.0ms (27.5% of total)
ival-cos: 8.0ms (14.7% of total)
ival-sqrt: 5.0ms (9.2% of total)
ival-mult: 4.0ms (7.3% of total)
backward-pass: 3.0ms (5.5% of total)
ival-neg: 3.0ms (5.5% of total)
const: 0.0ms (0% of total)

bsearch63.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
36.0ms
-3.2936032784920835e-106
-2.6780223745465953e-109
22.0ms
-1.289693826453316e-14
-3.9426195950431576e-21
Results
30.0ms128×1valid
16.0ms144×0valid
Compiler

Compiled 714 to 403 computations (43.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-exp: 11.0ms (31.9% of total)
ival-fmod: 10.0ms (29% of total)
ival-mult: 3.0ms (8.7% of total)
ival-cos: 3.0ms (8.7% of total)
ival-sqrt: 3.0ms (8.7% of total)
backward-pass: 2.0ms (5.8% of total)
ival-neg: 2.0ms (5.8% of total)
const: 0.0ms (0% of total)

bsearch81.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
78.0ms
-6.215662345324056e-307
3.119334306921534e-301
Results
56.0ms112×1valid
17.0ms32×2valid
Compiler

Compiled 141 to 101 computations (28.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-exp: 44.0ms (67.4% of total)
ival-fmod: 10.0ms (15.3% of total)
ival-cos: 3.0ms (4.6% of total)
ival-sqrt: 3.0ms (4.6% of total)
ival-mult: 2.0ms (3.1% of total)
backward-pass: 2.0ms (3.1% of total)
ival-neg: 1.0ms (1.5% of total)
const: 0.0ms (0% of total)

bsearch62.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
59.0ms
-6.215662345324056e-307
3.119334306921534e-301
Results
36.0ms112×1valid
17.0ms32×2valid
Compiler

Compiled 240 to 173 computations (27.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-exp: 18.0ms (42.4% of total)
ival-fmod: 13.0ms (30.6% of total)
ival-cos: 3.0ms (7.1% of total)
ival-sqrt: 3.0ms (7.1% of total)
ival-mult: 2.0ms (4.7% of total)
backward-pass: 2.0ms (4.7% of total)
ival-neg: 1.0ms (2.4% of total)
const: 0.0ms (0% of total)

bsearch60.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
57.0ms
-6.215662345324056e-307
3.119334306921534e-301
Results
35.0ms112×1valid
17.0ms32×2valid
Compiler

Compiled 393 to 272 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-exp: 16.0ms (36.9% of total)
ival-fmod: 15.0ms (34.6% of total)
ival-mult: 3.0ms (6.9% of total)
ival-cos: 3.0ms (6.9% of total)
ival-sqrt: 3.0ms (6.9% of total)
backward-pass: 2.0ms (4.6% of total)
ival-neg: 1.0ms (2.3% of total)
const: 0.0ms (0% of total)

bsearch56.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
53.0ms
-6.215662345324056e-307
3.119334306921534e-301
Results
32.0ms112×1valid
15.0ms32×2valid
Compiler

Compiled 357 to 245 computations (31.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-exp: 17.0ms (43.8% of total)
ival-fmod: 11.0ms (28.4% of total)
ival-cos: 3.0ms (7.7% of total)
ival-sqrt: 3.0ms (7.7% of total)
ival-mult: 2.0ms (5.2% of total)
backward-pass: 2.0ms (5.2% of total)
ival-neg: 1.0ms (2.6% of total)
const: 0.0ms (0% of total)

bsearch59.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
57.0ms
-6.215662345324056e-307
3.119334306921534e-301
Results
33.0ms112×1valid
18.0ms32×2valid
Compiler

Compiled 303 to 218 computations (28.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-exp: 19.0ms (44.3% of total)
ival-fmod: 10.0ms (23.3% of total)
ival-sqrt: 6.0ms (14% of total)
ival-cos: 3.0ms (7% of total)
ival-mult: 2.0ms (4.7% of total)
backward-pass: 2.0ms (4.7% of total)
ival-neg: 1.0ms (2.3% of total)
const: 0.0ms (0% of total)

simplify22.0ms (0.1%)

Algorithm
egg-herbie
Rules
82×*-commutative_binary64
62×+-commutative_binary64
36×sub-neg_binary64
30×neg-sub0_binary64
30×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097519
1147519
2169519
3206519
4239519
5260519
6268519
7270519
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (if (<=.f64 x #s(literal -6436481271636733/3064991081731777716716694054300618367237478244367204352 binary64)) (*.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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 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 (neg.f64 x))) (if (<=.f64 x #s(literal -4003012881138527/3450873173395281893717377931138512726225554486085193277581262111899648 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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.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 (neg.f64 x))) (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 (neg.f64 x))) (fmod.f64 x #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (if (<=.f64 x #s(literal -4003012881138527/3450873173395281893717377931138512726225554486085193277581262111899648 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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.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 (neg.f64 x))) (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 (neg.f64 x))) (fmod.f64 x #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (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 (neg.f64 x))) (fmod.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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)))))))) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 x (*.f64 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)))))))) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 x (*.f64 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)))))))) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))) (fmod.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 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (if (<=.f64 x #s(literal -6436481271636733/3064991081731777716716694054300618367237478244367204352 binary64)) (*.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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 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 (neg.f64 x))) (if (<=.f64 x #s(literal -4003012881138527/3450873173395281893717377931138512726225554486085193277581262111899648 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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.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 (neg.f64 x))) (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 (neg.f64 x))) (fmod.f64 x #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (if (<=.f64 x #s(literal -6436481271636733/3064991081731777716716694054300618367237478244367204352 binary64)) (*.f64 (fmod.f64 (exp.f64 x) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal -6859/191102976000 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 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 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -19/5760 binary64)))))) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (if (<=.f64 x #s(literal -4003012881138527/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fmod.f64 (exp.f64 x) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.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)) #s(literal -19/5760 binary64))))) (if (<=.f64 x #s(literal -7139404462934685/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fmod.f64 (exp.f64 x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.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))))))) (fmod.f64 x #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (if (<=.f64 x #s(literal -4003012881138527/3450873173395281893717377931138512726225554486085193277581262111899648 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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.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 (neg.f64 x))) (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 (neg.f64 x))) (fmod.f64 x #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (if (<=.f64 x #s(literal -4003012881138527/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fmod.f64 (exp.f64 x) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.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)) #s(literal -19/5760 binary64))))) (if (<=.f64 x #s(literal -7139404462934685/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fmod.f64 (exp.f64 x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.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))))))) (fmod.f64 x #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (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 (neg.f64 x))) (fmod.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (if (<=.f64 x #s(literal -7139404462934685/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fmod.f64 (exp.f64 x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.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))))))) (fmod.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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)))))))) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 x (*.f64 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)))))))) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 x (*.f64 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)))))))) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.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))))))) (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 x (*.f64 x #s(literal -1/4 binary64)))))) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.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))))))) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))) (fmod.f64 x #s(literal 1 binary64)))
(fmod.f64 x #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))

soundness1.8s (8.9%)

Rules
5374×/-lowering-/.f32
5374×/-lowering-/.f64
4788×*-lowering-*.f32
4788×*-lowering-*.f64
4012×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
095557
1285507
2929481
34019471
08490471
045198
1242170
22045167
09579167
0810
11510
2269
3329
4419
5479
6559
7649
8659
0659
02084093
16713518
223833316
084163316
02272732
17452430
224882312
371692312
084302312
02803440
19103034
232782951
090162951
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
saturated
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1493 to 750 computations (49.8% saved)

preprocess68.0ms (0.3%)

Compiler

Compiled 1074 to 212 computations (80.3% saved)

end0.0ms (0%)

Profiling

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