expfmod (used to be hard to sample)

Time bar (total: 12.8s)

analyze229.0ms (1.8%)

Memory
-16.0MiB live, 181.1MiB allocated
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 10 computations (16.7% saved)

sample4.8s (37.7%)

Memory
82.1MiB live, 5 932.6MiB allocated
Samples
1.4s2 574×2valid
1.3s1 545×5exit
782.0ms3 601×1valid
366.0ms3 333×0invalid
307.0ms2 081×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.7s
ival-cos: 1.3s (35.8% of total)
ival-fmod: 905.0ms (24.5% of total)
ival-exp: 680.0ms (18.4% of total)
adjust: 305.0ms (8.3% of total)
ival-sqrt: 254.0ms (6.9% of total)
ival-mult: 157.0ms (4.2% of total)
ival-neg: 54.0ms (1.5% of total)
ival-true: 10.0ms (0.3% of total)
ival-assert: 5.0ms (0.1% of total)
Bogosity

preprocess18.0ms (0.1%)

Memory
26.8MiB live, 26.8MiB allocated
Algorithm
egg-herbie
Rules
32×sub-neg
28×div-sub
24×lower-*.f32
22×lower-*.f64
22×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01021
12921
26821
312221
416821
518821
620521
722421
823121
0810
01510
12210
2329
3389
4439
5499
6569
7629
8639
0639
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Outputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

explain202.0ms (1.6%)

Memory
-38.8MiB live, 237.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1990-199(5.921521287380113e-304)(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
30-0-(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
00-0-(sqrt.f64 (cos.f64 x))
00-0-(cos.f64 x)
00-0-(exp.f64 x)
00-0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))u*o30
(exp.f64 x)underflow3
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))underflow3
(exp.f64 (neg.f64 x))overflow3
Confusion
Predicted +Predicted -
+3244
-09
Precision
1.0
Recall
0.012145748987854251
Confusion?
Predicted +Predicted MaybePredicted -
+30244
-009
Precision?
1.0
Recall?
0.012145748987854251
Freqs
test
numberfreq
0253
13
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
69.0ms156×2valid
60.0ms228×1valid
12.0ms90×1exit
4.0ms38×0valid
Compiler

Compiled 84 to 36 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 122.0ms
ival-fmod: 35.0ms (28.7% of total)
ival-exp: 34.0ms (27.9% of total)
ival-cos: 23.0ms (18.9% of total)
adjust: 12.0ms (9.9% of total)
ival-sqrt: 9.0ms (7.4% of total)
ival-mult: 5.0ms (4.1% of total)
ival-neg: 2.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.9%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify221.0ms (1.7%)

Memory
-35.0MiB live, 3.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (cos.f64 x))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
cost-diff0
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Rules
24×lower-*.f32
22×lower-*.f64
12×lower-/.f32
12×lower-/.f64
lower-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0829
01529
12229
23228
33828
44328
54928
65628
76228
86328
06328
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
x
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
x
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize79.0ms (0.6%)

Memory
5.8MiB live, 82.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 x)
accuracy100.0%
(sqrt.f64 (cos.f64 x))
accuracy98.8%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
accuracy26.7%
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Samples
33.0ms78×2valid
23.0ms114×1valid
6.0ms45×1exit
2.0ms19×0valid
Compiler

Compiled 31 to 10 computations (67.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-exp: 16.0ms (30.1% of total)
ival-fmod: 13.0ms (24.4% of total)
ival-cos: 11.0ms (20.7% of total)
adjust: 5.0ms (9.4% of total)
ival-sqrt: 4.0ms (7.5% of total)
ival-mult: 2.0ms (3.8% of total)
ival-neg: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series3.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#<alt (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))>
#<alt (exp.f64 x)>
#<alt (sqrt.f64 (cos.f64 x))>
#<alt (cos.f64 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 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
Calls

15 calls:

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

simplify314.0ms (2.5%)

Memory
21.1MiB live, 296.5MiB allocated
Algorithm
egg-herbie
Rules
13 324×lower-fma.f64
13 324×lower-fma.f32
3 658×lower-*.f64
3 658×lower-*.f32
2 382×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076401
1181380
2412368
31045358
41890358
53512358
64863358
76196358
87695358
08062336
Stop Event
iter limit
node limit
Counts
60 → 60
Calls
Call 1
Inputs
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (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))
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))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 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))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 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 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.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))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 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)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 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)

rewrite74.0ms (0.6%)

Memory
-25.0MiB live, 60.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
612×lower-*.f32
610×lower-*.f64
600×lower-/.f64
600×lower-/.f32
252×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0823
01523
12422
26322
325722
0199222
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
5 → 64
Calls
Call 1
Inputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
Outputs
(neg.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))))
(neg.f64 (/.f64 (neg.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 x))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 x))
(/.f64 (/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64)) (exp.f64 x))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)))
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 #s(literal -1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))))
(*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 (neg.f64 x))))
(*.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) (sqrt.f64 (cos.f64 x)))))
(*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64)) (neg.f64 (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))) #s(literal -1 binary64))
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (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) (sqrt.f64 (cos.f64 x))) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(exp.f64 x)
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x)))
(neg.f64 (neg.f64 (exp.f64 x)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(*.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64) (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64))))
(sqrt.f64 (cos.f64 x))
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (cos.f64 x)))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/8 binary64))) (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)))
(exp.f64 (log.f64 (cos.f64 x)))
(cos.f64 x)
(-.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)))

eval12.0ms (0.1%)

Memory
21.0MiB live, 21.0MiB allocated
Compiler

Compiled 1 599 to 260 computations (83.7% saved)

prune18.0ms (0.1%)

Memory
-6.0MiB live, 31.0MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1159124
Fresh000
Picked101
Done000
Total1169125
Accuracy
25.6%
Counts
125 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.0%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
8.0%
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 (neg.f64 x)))
7.9%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
7.9%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
7.7%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
21.2%
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
6.4%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
7.5%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
7.2%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 248 to 160 computations (35.5% saved)

simplify146.0ms (1.1%)

Memory
9.1MiB live, 86.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 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-diff256
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.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))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
cost-diff0
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
cost-diff0
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
cost-diff0
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)))
cost-diff0
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
cost-diff0
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
cost-diff0
(sqrt.f64 (cos.f64 x))
cost-diff0
#s(approx (exp x) #s(literal 1 binary64))
cost-diff0
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
cost-diff0
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Rules
1 784×lower-fma.f32
1 780×lower-fma.f64
856×lower-*.f32
848×lower-*.f64
384×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031209
051210
177207
2137205
3273205
4438205
5568205
6975205
71441205
81706205
91822205
101966205
112164205
122353205
132403205
142594205
152817205
162823205
172827205
182833205
192835205
02835205
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
x
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
x
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
x
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
Outputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
x
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
x
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
x
(sqrt.f64 (cos.f64 x))
(cos.f64 x)

localize156.0ms (1.2%)

Memory
-1.4MiB live, 156.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 x)
accuracy100.0%
(sqrt.f64 (cos.f64 x))
accuracy98.8%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
accuracy26.7%
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy100.0%
(sqrt.f64 (cos.f64 x))
accuracy99.9%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
accuracy98.3%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
accuracy26.7%
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy100.0%
(sqrt.f64 (cos.f64 x))
accuracy100.0%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
accuracy98.0%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)))
accuracy26.7%
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy100.0%
(exp.f64 x)
accuracy98.8%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
accuracy98.2%
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
accuracy26.7%
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
accuracy100.0%
(sqrt.f64 (cos.f64 x))
accuracy98.8%
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
accuracy96.8%
#s(approx (exp x) #s(literal 1 binary64))
accuracy26.7%
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
Samples
49.0ms78×2valid
41.0ms114×1valid
13.0ms45×1exit
3.0ms19×0valid
Compiler

Compiled 178 to 21 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-exp: 19.0ms (24.3% of total)
ival-fmod: 13.0ms (16.6% of total)
ival-cos: 12.0ms (15.4% of total)
adjust: 11.0ms (14.1% of total)
ival-mult: 11.0ms (14.1% of total)
ival-sqrt: 4.0ms (5.1% of total)
ival-div: 3.0ms (3.8% of total)
ival-add: 2.0ms (2.6% of total)
ival-sub: 1.0ms (1.3% of total)
ival-neg: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0%)

Memory
8.1MiB live, 8.1MiB allocated
Counts
15 → 180
Calls
Call 1
Inputs
#<alt (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))>
#<alt #s(approx (exp x) #s(literal 1 binary64))>
#<alt (sqrt.f64 (cos.f64 x))>
#<alt (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))>
#<alt (exp.f64 x)>
#<alt #s(approx (sqrt (cos x)) #s(literal 1 binary64))>
#<alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))>
#<alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))>
#<alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))>
#<alt (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))>
#<alt (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))>
#<alt (cos.f64 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 (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 (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 (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (* -1 (* x (fmod (exp x) (sqrt (cos x)))))>
#<alt (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))>
#<alt (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))>
#<alt (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))>
#<alt (* -1 (* x (fmod (exp x) (sqrt (cos x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))>
#<alt (* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))>
#<alt (* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) 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 (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 (+ (* -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)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* 1/2 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* 1/2 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)))))>
#<alt (* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (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

45 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* (fmod (exp x) (sqrt (cos x))) (+ (* x (+ (* x 1/2) -1)) 1))
0.0ms
x
@-inf
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
0.0ms
x
@inf
(* (fmod (exp x) (sqrt (cos x))) (- 1 x))
0.0ms
x
@inf
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
0.0ms
x
@0
(/ (fmod (exp x) (sqrt (cos x))) (exp x))

simplify465.0ms (3.6%)

Memory
-11.1MiB live, 584.0MiB allocated
Algorithm
egg-herbie
Rules
27 800×lower-fma.f64
27 800×lower-fma.f32
2 984×lower--.f64
2 984×lower--.f32
2 720×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01141739
13191546
28891452
330871407
081651356
Stop Event
iter limit
node limit
Counts
180 → 180
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 (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 (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)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp 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 (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)))
(+ (* -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)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x)))))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* 1/2 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)))))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* 1/2 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)))))
(* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x)))))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp 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))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) 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))))
(fma.f64 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.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))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 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 (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))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) 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))))
(fma.f64 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.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))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 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 (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))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) 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))))
(fma.f64 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.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))
(+ (* -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))
(+ (* -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))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) 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)))) (/ (fmod (exp x) (sqrt (cos x))) 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)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) 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)))
(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))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) 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))))
(fma.f64 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.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 (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))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (-.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))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x)))
(* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))))
(*.f64 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* 1/2 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x)))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* 1/2 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x)))
(* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))))
(*.f64 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) 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))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(fma.f64 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 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)

rewrite226.0ms (1.8%)

Memory
25.0MiB live, 260.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 002×lower-fma.f32
4 998×lower-fma.f64
3 432×lower-*.f32
3 424×lower-*.f64
2 178×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031141
051139
1118137
2647137
36069137
09083137
Stop Event
iter limit
node limit
iter limit
Counts
15 → 218
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) #s(literal 1 binary64))
(sqrt.f64 (cos.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(exp.f64 x)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(cos.f64 x)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))))
(/.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))
(/.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64)) (neg.f64 (exp.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
#s(approx (exp x) #s(literal 1 binary64))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (cos.f64 x)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64)) #s(literal 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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (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)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (neg.f64 (exp.f64 x)))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (exp.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (neg.f64 (exp.f64 x)))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))))
(*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(exp.f64 x)
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) x))
(exp.f64 (*.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x)))
(neg.f64 (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (/.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(*.f64 (exp.f64 (*.f64 x #s(literal 1/2 binary64))) (exp.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (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)))))
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x #s(literal 1 binary64))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fma.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fma.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fma.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64) (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fma.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
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(pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 1 binary64))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (exp.f64 x) (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)))
(*.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 1 binary64))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))
(*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 1/2 binary64)))
(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)))

eval71.0ms (0.6%)

Memory
-14.3MiB live, 95.4MiB allocated
Compiler

Compiled 11 344 to 831 computations (92.7% saved)

prune81.0ms (0.6%)

Memory
-9.1MiB live, 122.8MiB allocated
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New68618704
Fresh134
Picked415
Done000
Total69122713
Accuracy
25.7%
Counts
713 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.2%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))
7.9%
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (exp.f64 x))
7.7%
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
8.0%
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 (neg.f64 x)))
7.9%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
7.9%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
7.7%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
6.3%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
14.0%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
17.9%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
20.9%
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
6.3%
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) #s(literal -1 binary64)))
7.2%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
6.3%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64))))
7.4%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
7.2%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) x)))
7.5%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
7.2%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)))
7.3%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
7.1%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
7.6%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
4.1%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 686 to 411 computations (40.1% saved)

simplify299.0ms (2.3%)

Memory
-1.7MiB live, 114.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64))))
cost-diff256
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (exp.f64 x))
cost-diff0
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
cost-diff0
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
cost-diff0
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff0
(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
cost-diff0
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
cost-diff0
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
cost-diff0
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
cost-diff0
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
cost-diff0
#s(approx (exp x) #s(literal 1 binary64))
cost-diff0
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
cost-diff0
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
Rules
3 952×lower-fma.f32
3 942×lower-fma.f64
1 488×lower-*.f32
1 476×lower-*.f64
752×lower-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038301
065301
1110301
2209298
3416298
4553298
5631298
6850298
71193298
81472298
91873298
102503298
113119298
123529298
133754298
144048298
154312298
164349298
174639298
184747298
194793298
204817298
214817298
224817298
234824298
04824298
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
x
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (exp.f64 x))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64))))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))
(*.f64 x #s(literal -1/96 binary64))
#s(literal -1/96 binary64)
#s(literal -1/4 binary64)
#s(literal 1 binary64)
Outputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
x
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (exp.f64 x))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))
(*.f64 x #s(literal -1/96 binary64))
#s(literal -1/96 binary64)
#s(literal -1/4 binary64)
#s(literal 1 binary64)

localize196.0ms (1.5%)

Memory
35.2MiB live, 267.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(*.f64 x #s(literal -1/96 binary64))
accuracy98.8%
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (exp.f64 x))
accuracy98.7%
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
accuracy27.1%
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64))))
accuracy100.0%
(exp.f64 x)
accuracy100.0%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
accuracy98.2%
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
accuracy27.1%
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
accuracy98.8%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
accuracy98.5%
#s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy98.2%
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
accuracy27.1%
(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
accuracy100.0%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
accuracy98.2%
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
accuracy98.0%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
accuracy27.1%
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
accuracy98.8%
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
accuracy98.2%
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
accuracy96.8%
#s(approx (exp x) #s(literal 1 binary64))
accuracy27.1%
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
Samples
66.0ms77×2valid
52.0ms114×1valid
14.0ms45×1exit
5.0ms19×0valid
1.0ms5exit
Compiler

Compiled 201 to 31 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 105.0ms
ival-exp: 21.0ms (19.9% of total)
adjust: 19.0ms (18% of total)
ival-mult: 17.0ms (16.1% of total)
ival-fmod: 13.0ms (12.3% of total)
ival-cos: 12.0ms (11.4% of total)
const: 7.0ms (6.6% of total)
ival-add: 5.0ms (4.7% of total)
ival-sqrt: 4.0ms (3.8% of total)
ival-div: 3.0ms (2.8% of total)
ival-sub: 2.0ms (1.9% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0%)

Memory
7.2MiB live, 7.2MiB allocated
Counts
17 → 204
Calls
Call 1
Inputs
#<alt (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))>
#<alt #s(approx (exp x) #s(literal 1 binary64))>
#<alt #s(approx (sqrt (cos x)) #s(literal 1 binary64))>
#<alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))>
#<alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))>
#<alt (exp.f64 x)>
#<alt (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))>
#<alt #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))>
#<alt (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (exp.f64 x))>
#<alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64))))>
#<alt #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 x #s(literal -1/96 binary64))>
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 (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 (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (* -1 (* x (fmod (exp x) (sqrt (cos x)))))>
#<alt (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))>
#<alt (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))>
#<alt (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))>
#<alt (* -1 (* x (fmod (exp x) (sqrt (cos x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))>
#<alt (* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))>
#<alt (* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) 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 (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 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* x (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* 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))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp x) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp x) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp x) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp x) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp x) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp x) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp x) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp x) (fmod (exp x) (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 (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 (* -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 (* -1/96 x)>
#<alt (* -1/96 x)>
#<alt (* -1/96 x)>
#<alt (* -1/96 x)>
#<alt (* -1/96 x)>
#<alt (* -1/96 x)>
#<alt (* -1/96 x)>
#<alt (* -1/96 x)>
#<alt (* -1/96 x)>
#<alt (* -1/96 x)>
#<alt (* -1/96 x)>
#<alt (* -1/96 x)>
Calls

51 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(* x -1/96)
0.0ms
x
@-inf
(+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1)
0.0ms
x
@inf
(+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1)
0.0ms
x
@inf
(* (fmod (exp x) (sqrt (cos x))) (exp x))
0.0ms
x
@inf
(* x -1/96)

simplify508.0ms (4%)

Memory
-19.1MiB live, 513.8MiB allocated
Algorithm
egg-herbie
Rules
22 688×lower-fma.f64
22 688×lower-fma.f32
3 246×lower--.f64
3 246×lower--.f32
3 080×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01291683
13691539
210781482
338611447
082801395
Stop Event
iter limit
node limit
Counts
204 → 204
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 (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)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(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)
(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 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))
(fmod (exp x) (sqrt (cos x)))
(+ (* x (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* 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))))) (fmod (exp x) (sqrt (cos x))))
(* (exp x) (fmod (exp x) (sqrt (cos x))))
(* (exp x) (fmod (exp x) (sqrt (cos x))))
(* (exp x) (fmod (exp x) (sqrt (cos x))))
(* (exp x) (fmod (exp x) (sqrt (cos x))))
(* (exp x) (fmod (exp x) (sqrt (cos x))))
(* (exp x) (fmod (exp x) (sqrt (cos x))))
(* (exp x) (fmod (exp x) (sqrt (cos x))))
(* (exp x) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 (* -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))
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 x)
(* -1/96 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))))
(fma.f64 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (*.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.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))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 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 (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))))
(fma.f64 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (*.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.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))
(+ (* -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))
(+ (* -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))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) 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)))) (/ (fmod (exp x) (sqrt (cos x))) 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)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) 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))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(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))))
(fma.f64 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (*.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.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))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))
(-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+ (* 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 #s(literal 1 binary64)))
(+ (* x (+ (* 1/2 (* x (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))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (* 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))))) (fmod (exp x) (sqrt (cos x))))
(fma.f64 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* (exp x) (fmod (exp x) (sqrt (cos x))))
(*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* (exp x) (fmod (exp x) (sqrt (cos x))))
(*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* (exp x) (fmod (exp x) (sqrt (cos x))))
(*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* (exp x) (fmod (exp x) (sqrt (cos x))))
(*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* (exp x) (fmod (exp x) (sqrt (cos x))))
(*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* (exp x) (fmod (exp x) (sqrt (cos x))))
(*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* (exp x) (fmod (exp x) (sqrt (cos x))))
(*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* (exp x) (fmod (exp x) (sqrt (cos x))))
(*.f64 (exp.f64 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 (* 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))))
(fma.f64 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (*.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.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 (* -1/4 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 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))
(* -1/96 x)
(*.f64 x #s(literal -1/96 binary64))
(* -1/96 x)
(*.f64 x #s(literal -1/96 binary64))
(* -1/96 x)
(*.f64 x #s(literal -1/96 binary64))
(* -1/96 x)
(*.f64 x #s(literal -1/96 binary64))
(* -1/96 x)
(*.f64 x #s(literal -1/96 binary64))
(* -1/96 x)
(*.f64 x #s(literal -1/96 binary64))
(* -1/96 x)
(*.f64 x #s(literal -1/96 binary64))
(* -1/96 x)
(*.f64 x #s(literal -1/96 binary64))
(* -1/96 x)
(*.f64 x #s(literal -1/96 binary64))
(* -1/96 x)
(*.f64 x #s(literal -1/96 binary64))
(* -1/96 x)
(*.f64 x #s(literal -1/96 binary64))
(* -1/96 x)
(*.f64 x #s(literal -1/96 binary64))

rewrite699.0ms (5.5%)

Memory
-92.8MiB live, 478.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 590×lower-fma.f32
5 580×lower-fma.f64
4 972×lower-*.f32
4 960×lower-*.f64
4 066×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038211
065211
1186208
21178208
08440208
Stop Event
iter limit
node limit
iter limit
Counts
17 → 156
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(exp.f64 x)
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (exp.f64 x))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64))))
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(*.f64 x #s(literal -1/96 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))))
(/.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (neg.f64 (exp.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(+.f64 (*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))))
(fma.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(fma.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (neg.f64 x)))
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(*.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))))
(*.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)))))
(*.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (neg.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)))))
(*.f64 (neg.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))))
(*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (neg.f64 (exp.f64 (neg.f64 x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (neg.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (neg.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (neg.f64 (exp.f64 (neg.f64 x))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64))))))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64))))) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64))))))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64))))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64))))) (neg.f64 (exp.f64 (neg.f64 x))))
(*.f64 #s(literal -1 binary64) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (neg.f64 (exp.f64 (neg.f64 x)))))
(*.f64 (pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64))))) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64))))))
(neg.f64 (neg.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64))))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64))))))
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(*.f64 x #s(literal -1/96 binary64))
(*.f64 #s(literal -1/96 binary64) x)

eval51.0ms (0.4%)

Memory
14.1MiB live, 127.7MiB allocated
Compiler

Compiled 9 522 to 672 computations (92.9% saved)

prune66.0ms (0.5%)

Memory
-33.7MiB live, 166.1MiB allocated
Pruning

33 alts after pruning (29 fresh and 4 done)

PrunedKeptTotal
New48917506
Fresh41216
Picked235
Done011
Total49533528
Accuracy
66.2%
Counts
528 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.2%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))
7.9%
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (exp.f64 x))
7.6%
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
7.7%
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
7.9%
(*.f64 (pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64))))) #s(literal -1/2 binary64)))
8.0%
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 (neg.f64 x)))
7.9%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
7.7%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
6.3%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))
6.4%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) #s(literal 1 binary64)))
14.2%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
14.2%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
14.0%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
17.9%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
14.0%
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
47.8%
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
15.2%
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
11.3%
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
10.3%
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
7.2%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
7.1%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64))))
6.7%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
7.4%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
7.2%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) x)))
7.5%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
7.2%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)))
7.3%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
7.1%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
13.7%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
17.4%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
23.5%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
4.1%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)))
21.0%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 1 139 to 631 computations (44.6% saved)

simplify262.0ms (2%)

Memory
18.9MiB live, 310.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
cost-diff512
(+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
cost-diff768
(-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
cost-diff1472
(*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
cost-diff0
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
cost-diff0
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
cost-diff0
#s(approx (exp x) #s(literal 1 binary64))
cost-diff0
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
cost-diff0
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
cost-diff0
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)))
cost-diff0
#s(approx (exp x) #s(literal 1 binary64))
cost-diff0
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
cost-diff0
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
cost-diff0
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
cost-diff0
#s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))
cost-diff0
#s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)))
cost-diff0
(fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
cost-diff0
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
Rules
8 266×lower-fma.f32
8 256×lower-fma.f64
2 754×lower-*.f32
2 732×lower-*.f64
1 142×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062630
099619
1172594
2375587
31094549
42874549
55691549
08041533
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)))
#s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)
x
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
x
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
x
(-.f64 #s(literal 1 binary64) x)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
#s(literal 1 binary64)
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))))
#s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))
(-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
x
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
(*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))
#s(literal -1/2 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 x x))
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)))
#s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)))
#s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))
#s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)
(fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)
x
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
x
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
x
(-.f64 #s(literal 1 binary64) x)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
#s(literal 1 binary64)
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))))
#s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))
#s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
x
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
#s(literal 1/6 binary64)
(*.f64 x x)
(*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))
#s(literal -1/2 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 x x))
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize315.0ms (2.5%)

Memory
0.0MiB live, 431.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy98.5%
#s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))))
accuracy98.2%
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
accuracy61.8%
(*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
accuracy26.7%
(fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
accuracy99.9%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
accuracy98.5%
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
accuracy98.3%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
accuracy26.7%
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
accuracy100.0%
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
accuracy98.0%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)))
accuracy96.8%
#s(approx (exp x) #s(literal 1 binary64))
accuracy26.7%
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
accuracy98.2%
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
accuracy98.0%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
accuracy96.8%
#s(approx (exp x) #s(literal 1 binary64))
accuracy26.7%
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
accuracy98.5%
#s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)))
accuracy98.2%
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
accuracy26.7%
(fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
accuracy21.8%
#s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))
Samples
116.0ms78×2valid
69.0ms114×1valid
23.0ms45×1exit
6.0ms19×0valid
Compiler

Compiled 329 to 43 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
ival-mult: 30.0ms (23.4% of total)
adjust: 26.0ms (20.3% of total)
ival-exp: 17.0ms (13.3% of total)
ival-fmod: 13.0ms (10.1% of total)
ival-cos: 12.0ms (9.4% of total)
ival-add: 11.0ms (8.6% of total)
ival-div: 6.0ms (4.7% of total)
ival-sqrt: 4.0ms (3.1% of total)
const: 4.0ms (3.1% of total)
ival-sub: 3.0ms (2.3% of total)
exact: 1.0ms (0.8% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series6.0ms (0%)

Memory
7.4MiB live, 7.4MiB allocated
Counts
23 → 276
Calls
Call 1
Inputs
#<alt (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))>
#<alt #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)))>
#<alt #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))>
#<alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))>
#<alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))>
#<alt #s(approx (exp x) #s(literal 1 binary64))>
#<alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))>
#<alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))>
#<alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))>
#<alt (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))>
#<alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))>
#<alt (exp.f64 x)>
#<alt (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))>
#<alt (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))>
#<alt (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))>
#<alt (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))>
#<alt #s(approx (sqrt (cos x)) #s(literal 1 binary64))>
#<alt #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))>
#<alt (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))>
#<alt #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x 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 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))>
#<alt (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 (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (* -1 (* x (fmod (exp x) (sqrt (cos x)))))>
#<alt (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))>
#<alt (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))>
#<alt (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))>
#<alt (* -1 (* x (fmod (exp x) (sqrt (cos x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))>
#<alt (* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))>
#<alt (* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) 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 (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 (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (* -1 (* x (fmod (exp x) (sqrt (cos x)))))>
#<alt (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))>
#<alt (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))>
#<alt (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))>
#<alt (* -1 (* x (fmod (exp x) (sqrt (cos x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))>
#<alt (* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))>
#<alt (* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) 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 (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 (+ (* -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)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* 1/2 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* 1/2 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)))))>
#<alt (* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (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 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (* -1 x) 1) (pow x 2))>
#<alt (/ (- (* x (- (* -1/2 x) 1)) 1) (pow x 2))>
#<alt (/ (- (* x (- (* -1/2 x) 1)) 1) (pow x 2))>
#<alt -1/2>
#<alt (* -1 (+ 1/2 (/ 1 x)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2)>
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2)>
#<alt -1/2>
#<alt (* -1 (+ 1/2 (/ 1 x)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2)>
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2)>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -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 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 (* -1/4 (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 (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)>
Calls

69 calls:

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

simplify350.0ms (2.7%)

Memory
-2.1MiB live, 402.8MiB allocated
Algorithm
egg-herbie
Rules
14 146×lower-fma.f64
14 146×lower-fma.f32
3 904×lower-*.f64
3 904×lower-*.f32
1 712×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01272493
13562251
210042131
331032032
460422032
082771918
Stop Event
iter limit
node limit
Counts
276 → 276
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 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))
(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)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(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)
(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)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp 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 (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)))
(+ (* -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)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x)))))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* 1/2 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)))))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* 1/2 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)))))
(* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x)))))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) 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)))
(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 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))
(/ -1 (pow x 2))
(/ (- (* -1 x) 1) (pow x 2))
(/ (- (* x (- (* -1/2 x) 1)) 1) (pow x 2))
(/ (- (* x (- (* -1/2 x) 1)) 1) (pow x 2))
-1/2
(* -1 (+ 1/2 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2)
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2)
-1/2
(* -1 (+ 1/2 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2)
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2)
(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))))
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 (* -1/4 (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)))
(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)
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))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 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))) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.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))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(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))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 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))) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.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))
(+ (* -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))
(+ (* -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))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) 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)))) (/ (fmod (exp x) (sqrt (cos x))) 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)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) 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))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(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))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 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))) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.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))
(+ (* -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))
(+ (* -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))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) 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)))) (/ (fmod (exp x) (sqrt (cos x))) 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)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) 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)))
(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))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 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))) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.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 (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))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+ (* 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))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* 1/2 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* 1/2 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(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))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* -1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x))
(/ (- (* x (- (* -1/2 x) 1)) 1) (pow x 2))
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))
(/ (- (* x (- (* -1/2 x) 1)) 1) (pow x 2))
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))
-1/2
#s(literal -1/2 binary64)
(* -1 (+ 1/2 (/ 1 x)))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2)
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2)
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))
-1/2
#s(literal -1/2 binary64)
(* -1 (+ 1/2 (/ 1 x)))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2)
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2)
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x 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 (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))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 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))) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 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 (* -1/4 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 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)))
(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))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)

rewrite311.0ms (2.4%)

Memory
-0.4MiB live, 432.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 350×lower-*.f32
5 328×lower-*.f64
3 946×lower-/.f32
3 942×lower-/.f64
3 766×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062474
099474
1310440
22449433
08759421
Stop Event
iter limit
node limit
iter limit
Counts
23 → 283
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)))
#s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(exp.f64 x)
(*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))))
Outputs
(/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (exp.f64 x))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)))
#s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (neg.f64 x)))
(+.f64 (*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (*.f64 (neg.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))))
(fma.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (neg.f64 x)))
(/.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))))
(+.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(+.f64 (*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (*.f64 (neg.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))))
(fma.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (*.f64 (neg.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))))
(fma.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(/.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(fma.f64 x (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(fma.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(fma.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 x (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(fma.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) x (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64))) (-.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 x (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) #s(literal 1 binary64))) (-.f64 (fma.f64 x (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 x (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) (-.f64 (fma.f64 x (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #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 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal -1 binary64))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
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(*.f64 (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (exp.f64 x))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))))

eval135.0ms (1.1%)

Memory
-5.7MiB live, 137.7MiB allocated
Compiler

Compiled 18 583 to 1 673 computations (91% saved)

prune85.0ms (0.7%)

Memory
-0.5MiB live, 206.1MiB allocated
Pruning

46 alts after pruning (40 fresh and 6 done)

PrunedKeptTotal
New58018598
Fresh22224
Picked235
Done134
Total58546631
Accuracy
76.0%
Counts
631 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.2%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))
7.9%
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (exp.f64 x))
7.6%
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
7.7%
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
47.9%
(/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
7.9%
(*.f64 (pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64))))) #s(literal -1/2 binary64)))
8.0%
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 (neg.f64 x)))
7.9%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
7.7%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
6.3%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))
6.4%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) #s(literal 1 binary64)))
14.2%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
14.2%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
14.0%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
17.9%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
14.0%
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
47.8%
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
12.8%
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (/.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
16.4%
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
13.6%
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x x x) (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
13.2%
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (*.f64 x (neg.f64 x))))))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
13.2%
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x (*.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x x))))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
13.2%
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) (*.f64 x x))))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
13.8%
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x))))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
14.5%
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))) (*.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)))))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
14.3%
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)))))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
11.9%
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(approx (+ (+ -1/2 (/ -1 x)) (/ -1 (* x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
11.3%
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(approx (+ (+ -1/2 (/ -1 x)) (/ -1 (* x x))) #s(literal -1/2 binary64)))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
18.3%
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
11.3%
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
10.3%
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
7.2%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
7.1%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64))))
3.9%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
4.1%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64))))
6.7%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
7.4%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
7.2%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) x)))
7.6%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
13.7%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
17.0%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
17.4%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
23.5%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
4.1%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)))
4.1%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)))
21.0%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 2 597 to 858 computations (67% saved)

regimes37.0ms (0.3%)

Memory
12.8MiB live, 90.2MiB allocated
Counts
63 → 3
Calls
Call 1
Inputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
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#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
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#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)))
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#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
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(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) x)))
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#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
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(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
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#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
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#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)))
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(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal 1 binary64))))) #s(literal -1/2 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 (neg.f64 x)))
Outputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
Calls

2 calls:

17.0ms
x
16.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
68.2%3x
62.6%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)

regimes13.0ms (0.1%)

Memory
-7.2MiB live, 32.1MiB allocated
Counts
34 → 4
Calls
Call 1
Inputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(approx (+ (+ -1/2 (/ -1 x)) (/ -1 (* x x))) #s(literal -1/2 binary64)))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(approx (+ (+ -1/2 (/ -1 x)) (/ -1 (* x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
Outputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(approx (+ (+ -1/2 (/ -1 x)) (/ -1 (* x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
65.2%4x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes26.0ms (0.2%)

Memory
-30.9MiB live, 30.7MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(approx (+ (+ -1/2 (/ -1 x)) (/ -1 (* x x))) #s(literal -1/2 binary64)))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
Outputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
Calls

2 calls:

15.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
9.0ms
x
Results
AccuracySegmentsBranch
62.1%3(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
62.3%3x
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes8.0ms (0.1%)

Memory
10.6MiB live, 10.6MiB allocated
Counts
22 → 3
Calls
Call 1
Inputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
Outputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
62.3%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.1%)

Memory
20.1MiB live, 20.1MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
Outputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
Calls

2 calls:

6.0ms
x
4.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
25.1%2(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
25.1%2x
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes5.0ms (0%)

Memory
-28.2MiB live, 11.4MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
Outputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
Calls

2 calls:

2.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
2.0ms
x
Results
AccuracySegmentsBranch
23.5%1(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
23.5%1x
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes3.0ms (0%)

Memory
6.9MiB live, 6.9MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
Outputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
Calls

2 calls:

1.0ms
x
1.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
21.0%1x
21.0%1(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch62.0ms (0.5%)

Memory
16.9MiB live, 56.1MiB allocated
Algorithm
binary-search
Stop Event
predicate-failed
narrow-enough
Steps
TimeLeftRight
18.0ms
0.0027052812543243063
15384466.161796002
40.0ms
-4.102471245154665e-154
-2.9905258005776383e-157
Samples
29.0ms144×1valid
10.0ms101×0invalid
Compiler

Compiled 453 to 269 computations (40.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-exp: 11.0ms (33.8% of total)
ival-fmod: 7.0ms (21.5% of total)
ival-cos: 6.0ms (18.5% of total)
ival-sqrt: 3.0ms (9.2% of total)
adjust: 2.0ms (6.2% of total)
ival-mult: 2.0ms (6.2% of total)
ival-neg: 1.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch18.0ms (0.1%)

Memory
9.0MiB live, 9.0MiB allocated
Algorithm
binary-search
Stop Event
predicate-failed
narrow-enough
predicate-same
Steps
TimeLeftRight
13.0ms
0.0027052812543243063
15384466.161796002
1.0ms
-4.102471245154665e-154
-2.9905258005776383e-157
2.0ms
-8.707214527885561e-17
-3.9556286858848273e-19
Samples
10.0ms101×0invalid
1.0ms16×0valid
Compiler

Compiled 485 to 266 computations (45.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-cos: 3.0ms (32.9% of total)
ival-exp: 2.0ms (22% of total)
ival-fmod: 2.0ms (22% of total)
ival-mult: 1.0ms (11% of total)
ival-sqrt: 1.0ms (11% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch118.0ms (0.9%)

Memory
-11.9MiB live, 67.1MiB allocated
Algorithm
binary-search
Stop Event
predicate-failed
narrow-enough
Steps
TimeLeftRight
13.0ms
0.0027052812543243063
15384466.161796002
100.0ms
-1.9000765563703913e-307
5.921521287380113e-304
Samples
94.0ms144×2valid
11.0ms101×0invalid
Compiler

Compiled 459 to 254 computations (44.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-fmod: 40.0ms (41.5% of total)
ival-exp: 24.0ms (24.9% of total)
ival-cos: 20.0ms (20.7% of total)
adjust: 4.0ms (4.1% of total)
ival-sqrt: 4.0ms (4.1% of total)
ival-mult: 2.0ms (2.1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch16.0ms (0.1%)

Memory
15.8MiB live, 15.8MiB allocated
Algorithm
binary-search
Stop Event
predicate-failed
narrow-enough
Steps
TimeLeftRight
13.0ms
0.0027052812543243063
15384466.161796002
1.0ms
-1.9000765563703913e-307
5.921521287380113e-304
Samples
11.0ms101×0invalid
Compiler

Compiled 469 to 264 computations (43.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-cos: 3.0ms (37.7% of total)
ival-exp: 2.0ms (25.1% of total)
ival-sqrt: 1.0ms (12.6% of total)
ival-fmod: 1.0ms (12.6% of total)
ival-true: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch32.0ms (0.3%)

Memory
-18.3MiB live, 18.7MiB allocated
Algorithm
binary-search
Stop Event
predicate-failed
Steps
TimeLeftRight
31.0ms
0.0027052812543243063
15384466.161796002
Samples
28.0ms101×0invalid
Compiler

Compiled 53 to 32 computations (39.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-fmod: 19.0ms (73.6% of total)
ival-cos: 3.0ms (11.6% of total)
ival-exp: 2.0ms (7.7% of total)
ival-sqrt: 1.0ms (3.9% of total)
ival-true: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

simplify26.0ms (0.2%)

Memory
-16.2MiB live, 23.0MiB allocated
Algorithm
egg-herbie
Rules
46×*-commutative_binary64
34×+-commutative_binary64
28×sub-neg_binary64
22×neg-sub0_binary64
22×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095622
1126622
2149622
3164622
4181622
5198622
6206622
7209622
8210622
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal -2264377454892925/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (if (<=.f64 x #s(literal 400 binary64)) (/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal -2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal -2264377454892925/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(approx (+ (+ -1/2 (/ -1 x)) (/ -1 (* x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (if (<=.f64 x #s(literal 400 binary64)) (/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))))))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 400 binary64)) (/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 400 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal 400 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
Outputs
(if (<=.f64 x #s(literal -2264377454892925/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (if (<=.f64 x #s(literal 400 binary64)) (/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal -2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal -2264377454892925/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(approx (+ (+ -1/2 (/ -1 x)) (/ -1 (* x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (if (<=.f64 x #s(literal 400 binary64)) (/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))))))
(if (<=.f64 x #s(literal -2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal -2264377454892925/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(approx (+ (+ -1/2 (/ -1 x)) (/ -1 (* x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 400 binary64)) (/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))))))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 400 binary64)) (/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 400 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 400 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal 400 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))

soundness1.9s (14.7%)

Memory
17.6MiB live, 973.4MiB allocated
Rules
27 800×lower-fma.f64
27 800×lower-fma.f32
22 688×lower-fma.f64
22 688×lower-fma.f32
14 146×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076401
1181380
2412368
31045358
41890358
53512358
64863358
76196358
87695358
08062336
01272493
13562251
210042131
331032032
460422032
082771918
062474
099474
1310440
22449433
08759421
01291683
13691539
210781482
338611447
082801395
01141739
13191546
28891452
330871407
081651356
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 867 to 373 computations (57% saved)

preprocess117.0ms (0.9%)

Memory
-11.2MiB live, 152.0MiB allocated
Compiler

Compiled 700 to 140 computations (80% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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