expfmod (used to be hard to sample)

Time bar (total: 9.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze541.0ms (5.9%)

Memory
-24.8MiB live, 251.4MiB allocated; 697ms collecting garbage
Algorithm
1×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)

sample5.5s (59.8%)

Memory
129.9MiB live, 5 554.1MiB allocated; 955ms collecting garbage
Samples
1.8s1 576×5exit
1.3s2 729×2valid
1.1s3 520×1valid
417.0ms3 202×0invalid
317.0ms2 007×0valid
Precisions
Click to see histograms. Total time spent on operations: 4.2s
ival-cos: 1.4s (33.2% of total)
ival-fmod: 1.0s (24.5% of total)
ival-exp: 774.0ms (18.3% of total)
adjust: 501.0ms (11.9% of total)
ival-sqrt: 278.0ms (6.6% of total)
ival-mult: 149.0ms (3.5% of total)
ival-neg: 78.0ms (1.8% of total)
ival-assert: 5.0ms (0.1% of total)
Bogosity

explain846.0ms (9.2%)

Memory
14.3MiB live, 781.3MiB allocated; 62ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1950-195(9.721703469194254e-52)(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
20-0-(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
00-0-(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*o20
↳(exp.f64 x)underflow2
↳(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))underflow2
↳(exp.f64 (neg.f64 x))overflow2
Confusion
Predicted +Predicted -
+2251
-03
Precision
1.0
Recall
0.007905138339920948
Confusion?
Predicted +Predicted MaybePredicted -
+20251
-003
Precision?
1.0
Recall?
0.007905138339920948
Freqs
test
numberfreq
0254
12
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
634.0ms112×5exit
77.0ms158×2valid
72.0ms228×1valid
2.0ms14×0valid
Compiler

Compiled 72 to 28 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 750.0ms
ival-cos: 579.0ms (77.2% of total)
ival-exp: 44.0ms (5.9% of total)
ival-sqrt: 42.0ms (5.6% of total)
ival-fmod: 41.0ms (5.5% of total)
adjust: 29.0ms (3.9% of total)
ival-mult: 8.0ms (1.1% of total)
ival-neg: 4.0ms (0.5% of total)
ival-true: 1.0ms (0.1% of total)
ival-assert: 0.0ms (0% of total)

preprocess155.0ms (1.7%)

Memory
-31.8MiB live, 155.2MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01531
14731
210330
334430
4207830
0810
01510
13110
2609
31679
47699
084589
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
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)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
Compiler

Compiled 10 to 8 computations (20% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶5.1%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 10 to 8 computations (20% saved)

series4.0ms (0%)

Memory
7.7MiB live, 7.7MiB allocated; 0ms collecting garbage
Counts
8 → 30
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
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (fmod (exp x) (sqrt (cos x)))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole 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))))))
#s(approx (fmod (exp x) (sqrt (cos x))) #s(hole binary64 (fmod (exp x) (sqrt (cos x)))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (cos x)) #s(hole binary64 1))
#s(approx (sqrt (cos x)) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (sqrt (cos x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
#s(approx (sqrt (cos x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (sqrt (cos x)) #s(hole binary64 (sqrt (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) x (sqrt (cos x)) (cos x) (exp (neg x)) (neg x))
1.0ms
x
@inf
((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) x (sqrt (cos x)) (cos x) (exp (neg x)) (neg x))
1.0ms
x
@-inf
((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) x (sqrt (cos x)) (cos x) (exp (neg x)) (neg x))

rewrite205.0ms (2.2%)

Memory
22.0MiB live, 217.4MiB allocated; 64ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124450
0133443
1636419
05529396
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
38 → 81
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)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (fmod (exp x) (sqrt (cos x)))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole 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))))))
#s(approx (fmod (exp x) (sqrt (cos x))) #s(hole binary64 (fmod (exp x) (sqrt (cos x)))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (cos x)) #s(hole binary64 1))
#s(approx (sqrt (cos x)) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (sqrt (cos x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
#s(approx (sqrt (cos x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (sqrt (cos x)) #s(hole binary64 (sqrt (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
Outputs
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x))
(fma.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cosh.f64 x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (sinh.f64 (neg.f64 x))))
(+.f64 (*.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cosh.f64 x)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (sinh.f64 (neg.f64 x))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal -1/2 binary64)))
(sqrt.f64 (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 binary64)))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (exp.f64 x))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(exp.f64 (neg.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(neg.f64 x)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.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))) (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal 1/2 binary64) x #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))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))))))
#s(approx (fmod (exp x) (sqrt (cos x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (exp (neg x)) #s(literal 1 binary64))
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (neg x) (neg.f64 x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
#s(approx (exp x) (exp.f64 x))
#s(approx (sqrt (cos x)) (sqrt.f64 (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))

eval12.0ms (0.1%)

Memory
-23.7MiB live, 22.8MiB allocated; 6ms collecting garbage
Compiler

Compiled 1 319 to 303 computations (77% saved)

prune3.0ms (0%)

Memory
11.1MiB live, 11.0MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New80383
Fresh000
Picked101
Done000
Total81384
Accuracy
27.0%
Counts
84 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶5.1%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
▶25.2%
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
▶4.8%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
Compiler

Compiled 41 to 33 computations (19.5% saved)

series3.0ms (0%)

Memory
9.3MiB live, 9.3MiB allocated; 0ms collecting garbage
Counts
15 → 30
Calls
Call 1
Inputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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)
(*.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)
(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)))
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
Outputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (fmod (exp x) (sqrt (cos x)))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole 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))))))
#s(approx (fmod (exp x) (sqrt (cos x))) #s(hole binary64 (fmod (exp x) (sqrt (cos x)))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (cos x)) #s(hole binary64 1))
#s(approx (sqrt (cos x)) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (sqrt (cos x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
#s(approx (sqrt (cos x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (sqrt (cos x)) #s(hole binary64 (sqrt (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) x (sqrt (cos x)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) 1 (exp (neg x)) (neg x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)))
1.0ms
x
@inf
((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) x (sqrt (cos x)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) 1 (exp (neg x)) (neg x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)))
1.0ms
x
@0
((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) x (sqrt (cos x)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) 1 (exp (neg x)) (neg x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)))

rewrite241.0ms (2.6%)

Memory
-16.7MiB live, 221.7MiB allocated; 126ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128507
0144500
1649476
05561453
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
45 → 95
Calls
Call 1
Inputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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)
(*.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)
(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)))
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (fmod (exp x) (sqrt (cos x)))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole 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))))))
#s(approx (fmod (exp x) (sqrt (cos x))) #s(hole binary64 (fmod (exp x) (sqrt (cos x)))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (cos x)) #s(hole binary64 1))
#s(approx (sqrt (cos x)) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (sqrt (cos x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
#s(approx (sqrt (cos x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (sqrt (cos x)) #s(hole binary64 (sqrt (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
Outputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal -1/2 binary64)))
(sqrt.f64 (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 binary64)))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.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))))
(/.f64 (*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (exp.f64 x))
(/.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) (exp.f64 x))
(fma.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (*.f64 (sinh.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))) (cosh.f64 x) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (sinh.f64 (neg.f64 x))))
(+.f64 (*.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (*.f64 (sinh.f64 (neg.f64 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))) (cosh.f64 x)) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (sinh.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)
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (exp.f64 x))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(exp.f64 (neg.f64 x))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (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))))
(/.f64 (*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (exp.f64 x))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(literal 1 binary64)) (exp.f64 x))
(fma.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (*.f64 (sinh.f64 (neg.f64 x)) (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))) (cosh.f64 x) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (sinh.f64 (neg.f64 x))))
(+.f64 (*.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (*.f64 (sinh.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))) (cosh.f64 x)) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (sinh.f64 (neg.f64 x))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos 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))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.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))) (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal 1/2 binary64) x #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))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))))))
#s(approx (fmod (exp x) (sqrt (cos x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (exp (neg x)) #s(literal 1 binary64))
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (neg x) (neg.f64 x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
#s(approx (exp x) (exp.f64 x))
#s(approx (sqrt (cos x)) (sqrt.f64 (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))

eval25.0ms (0.3%)

Memory
-1.0MiB live, 43.0MiB allocated; 14ms collecting garbage
Compiler

Compiled 3 001 to 402 computations (86.6% saved)

prune8.0ms (0.1%)

Memory
18.4MiB live, 18.4MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1538161
Fresh000
Picked213
Done000
Total1559164
Accuracy
27.1%
Counts
164 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓5.1%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
4.8%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
4.8%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
▶4.8%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
▶26.6%
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
▶3.8%
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
▶3.9%
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
▶4.1%
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
5.2%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))))
Compiler

Compiled 294 to 222 computations (24.5% saved)

series5.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Counts
27 → 51
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 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) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#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))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(exp.f64 x)
#s(approx (exp (neg x)) #s(literal 1 binary64))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(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))
(cos.f64 x)
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
#s(literal 1/2 binary64)
Outputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (fmod (exp x) (sqrt (cos x)))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole 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))))))
#s(approx (fmod (exp x) (sqrt (cos x))) #s(hole binary64 (fmod (exp x) (sqrt (cos x)))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (cos x)) #s(hole binary64 1))
#s(approx (sqrt (cos x)) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (sqrt (cos x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
#s(approx (sqrt (cos x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 -1))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (- (* 1/2 x) 1)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (sqrt (cos x)) #s(hole binary64 (sqrt (cos x))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (- 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* x (- 1/2 (/ 1 x)))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1/2)))))
Calls

3 calls:

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

rewrite230.0ms (2.5%)

Memory
-20.2MiB live, 168.9MiB allocated; 49ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0186838
0205816
1862786
07411766
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
78 → 218
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 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) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#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))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(exp.f64 x)
#s(approx (exp (neg x)) #s(literal 1 binary64))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(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))
(cos.f64 x)
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
#s(literal 1/2 binary64)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (fmod (exp x) (sqrt (cos x)))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole 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))))))
#s(approx (fmod (exp x) (sqrt (cos x))) #s(hole binary64 (fmod (exp x) (sqrt (cos x)))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (cos x)) #s(hole binary64 1))
#s(approx (sqrt (cos x)) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (sqrt (cos x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
#s(approx (sqrt (cos x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 -1))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (- (* 1/2 x) 1)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (sqrt (cos x)) #s(hole binary64 (sqrt (cos x))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (- 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* x (- 1/2 (/ 1 x)))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1/2)))))
Outputs
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) (-.f64 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) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(literal 1 binary64)) (exp.f64 x))
(fma.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))))
(fma.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (cosh.f64 x) (*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (sinh.f64 (neg.f64 x))))
(+.f64 (*.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (cosh.f64 x)) (*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (sinh.f64 (neg.f64 x))))
(fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
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(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(-.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))
#s(literal 1/2 binary64)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.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))) (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal 1/2 binary64) x #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))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))))))
#s(approx (fmod (exp x) (sqrt (cos x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (- x -1) #s(literal 1 binary64))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx x x)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (exp (neg x)) #s(literal 1 binary64))
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (neg x) (neg.f64 x))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* 1/2 x) -1) #s(literal -1 binary64))
#s(approx (+ (* 1/2 x) -1) (fma.f64 #s(literal 1/2 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))) (exp.f64 (neg.f64 x))))
#s(approx (exp x) (exp.f64 x))
#s(approx (- x -1) x)
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (sqrt (cos x)) (sqrt.f64 (cos.f64 x)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) x))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) -1) (*.f64 (-.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (- 1 x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x)))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x)) x) x))
#s(approx (+ (* 1/2 x) -1) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (neg.f64 x)))

eval32.0ms (0.3%)

Memory
12.5MiB live, 58.2MiB allocated; 6ms collecting garbage
Compiler

Compiled 6 302 to 893 computations (85.8% saved)

prune13.0ms (0.1%)

Memory
-17.8MiB live, 29.6MiB allocated; 1ms collecting garbage
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2697276
Fresh303
Picked415
Done101
Total2778285
Accuracy
73.0%
Counts
285 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓4.8%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
27.1%
(*.f64 (fmod.f64 #s(approx (exp x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
25.8%
(*.f64 (fmod.f64 #s(approx (exp x) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
▶10.6%
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
▶31.4%
(*.f64 (fmod.f64 #s(approx (exp x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
▶62.2%
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
▶5.1%
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
▶25.2%
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) #s(literal 1 binary64)))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
Compiler

Compiled 342 to 249 computations (27.2% saved)

series11.0ms (0.1%)

Memory
20.8MiB live, 20.8MiB allocated; 0ms collecting garbage
Counts
41 → 78
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (- x -1) x))
#s(approx (- x -1) x)
x
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) #s(literal 1 binary64)))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) #s(literal 1 binary64))))
#s(approx (exp x) #s(literal 1 binary64))
(sqrt.f64 #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (exp (neg x)) #s(literal 1 binary64))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
#s(literal 1/24 binary64)
(*.f64 x x)
(*.f64 (fmod.f64 #s(approx (exp x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)
(-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal -1 binary64))
Outputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (fmod (exp x) (sqrt (cos x)))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole 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))))))
#s(approx (fmod (exp x) (sqrt (cos x))) #s(hole binary64 (fmod (exp x) (sqrt (cos x)))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (cos x)) #s(hole binary64 1))
#s(approx (sqrt (cos x)) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (sqrt (cos x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
#s(approx (sqrt (cos x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) #s(hole binary64 -1))
#s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) #s(hole binary64 (- (* 1/2 x) 1)))
#s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) #s(hole binary64 (- (* x (+ 1/2 (* -1/6 x))) 1)))
#s(approx (+ (* -1/6 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* -1/6 x))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (* 1/24 (* x x)) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (- (pow x -1) -1) x) #s(hole binary64 1))
#s(approx (* (- (pow x -1) -1) x) #s(hole binary64 (+ 1 x)))
#s(approx (- (pow x -1) -1) #s(hole binary64 (/ 1 x)))
#s(approx (- (pow x -1) -1) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (sqrt (cos x)) #s(hole binary64 (sqrt (cos x))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))))
#s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) #s(hole binary64 (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))))
#s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* -1/6 x) 1/2) #s(hole binary64 (* -1/6 x)))
#s(approx (+ (* -1/6 x) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/6))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (- (pow x -1) -1) x) #s(hole binary64 x))
#s(approx (* (- (pow x -1) -1) x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (pow x -1) -1) #s(hole binary64 1))
#s(approx (- (pow x -1) -1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
#s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))))
#s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))))
#s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))))
#s(approx (+ (* -1/6 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (- x -1) x (sqrt (cos x)) 1 (exp (neg x)) (neg x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x) (exp (neg x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (- x -1) -1 (exp (neg x)) (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) (+ (* (+ (* -1/6 x) 1/2) x) -1) (+ (* -1/6 x) 1/2) -1/6 1/2 (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 (* x x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (* (- (pow x -1) -1) x) (- (pow x -1) -1) (pow x -1))
3.0ms
x
@inf
((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (- x -1) x (sqrt (cos x)) 1 (exp (neg x)) (neg x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x) (exp (neg x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (- x -1) -1 (exp (neg x)) (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) (+ (* (+ (* -1/6 x) 1/2) x) -1) (+ (* -1/6 x) 1/2) -1/6 1/2 (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 (* x x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (* (- (pow x -1) -1) x) (- (pow x -1) -1) (pow x -1))
2.0ms
x
@0
((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (- x -1) x (sqrt (cos x)) 1 (exp (neg x)) (neg x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x) (exp (neg x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (- x -1) -1 (exp (neg x)) (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) (+ (* (+ (* -1/6 x) 1/2) x) -1) (+ (* -1/6 x) 1/2) -1/6 1/2 (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 (* x x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (* (- (pow x -1) -1) x) (- (pow x -1) -1) (pow x -1))

rewrite211.0ms (2.3%)

Memory
-0.7MiB live, 237.6MiB allocated; 74ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02671536
03051444
112271408
084491366
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
119 → 381
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (- x -1) x))
#s(approx (- x -1) x)
x
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) #s(literal 1 binary64)))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) #s(literal 1 binary64))))
#s(approx (exp x) #s(literal 1 binary64))
(sqrt.f64 #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (exp (neg x)) #s(literal 1 binary64))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
#s(literal 1/24 binary64)
(*.f64 x x)
(*.f64 (fmod.f64 #s(approx (exp x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)
(-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal -1 binary64))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (fmod (exp x) (sqrt (cos x)))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole 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))))))
#s(approx (fmod (exp x) (sqrt (cos x))) #s(hole binary64 (fmod (exp x) (sqrt (cos x)))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (cos x)) #s(hole binary64 1))
#s(approx (sqrt (cos x)) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (sqrt (cos x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
#s(approx (sqrt (cos x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) #s(hole binary64 -1))
#s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) #s(hole binary64 (- (* 1/2 x) 1)))
#s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) #s(hole binary64 (- (* x (+ 1/2 (* -1/6 x))) 1)))
#s(approx (+ (* -1/6 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* -1/6 x))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (* 1/24 (* x x)) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (- (pow x -1) -1) x) #s(hole binary64 1))
#s(approx (* (- (pow x -1) -1) x) #s(hole binary64 (+ 1 x)))
#s(approx (- (pow x -1) -1) #s(hole binary64 (/ 1 x)))
#s(approx (- (pow x -1) -1) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (sqrt (cos x)) #s(hole binary64 (sqrt (cos x))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))))
#s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) #s(hole binary64 (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))))
#s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* -1/6 x) 1/2) #s(hole binary64 (* -1/6 x)))
#s(approx (+ (* -1/6 x) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/6))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (- (pow x -1) -1) x) #s(hole binary64 x))
#s(approx (* (- (pow x -1) -1) x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (pow x -1) -1) #s(hole binary64 1))
#s(approx (- (pow x -1) -1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(hole binary64 (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
#s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))))
#s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))))
#s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))))
#s(approx (+ (* -1/6 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))))
Outputs
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(approx (* (- (pow x -1) -1) x) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (* (- (pow x -1) -1) x) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fma.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(approx (* (- (pow x -1) -1) x) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(approx (* (- (pow x -1) -1) x) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))))
(fma.f64 (fmod.f64 #s(approx (exp x) #s(approx (* (- (pow x -1) -1) x) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (cosh.f64 x) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (* (- (pow x -1) -1) x) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (sinh.f64 (neg.f64 x))))
(+.f64 (*.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(approx (* (- (pow x -1) -1) x) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(approx (* (- (pow x -1) -1) x) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (* (- (pow x -1) -1) x) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (cosh.f64 x)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (* (- (pow x -1) -1) x) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (sinh.f64 (neg.f64 x))))
(fmod.f64 #s(approx (exp x) #s(approx (* (- (pow x -1) -1) x) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (* (- (pow x -1) -1) x) x))
#s(approx (* (- (pow x -1) -1) x) x)
x
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
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(-.f64 #s(literal 1 binary64) (neg.f64 x))
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(-.f64 x (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64))))
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#s(approx (sqrt (cos x)) (sqrt.f64 (cos.f64 x)))
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#s(approx (cos x) (cos.f64 x))
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#s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (+ (* -1/6 x) 1/2) (*.f64 #s(literal -1/6 binary64) x))
#s(approx (+ (* -1/6 x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/24 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
#s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)))
#s(approx (* (- (pow x -1) -1) x) x)
#s(approx (* (- (pow x -1) -1) x) (-.f64 x #s(literal -1 binary64)))
#s(approx (- (pow x -1) -1) #s(literal 1 binary64))
#s(approx (- (pow x -1) -1) (/.f64 (-.f64 x #s(literal -1 binary64)) x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x))))
#s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x)) x))))
#s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (+ (* -1/6 x) 1/2) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)))

eval186.0ms (2%)

Memory
24.4MiB live, 147.6MiB allocated; 47ms collecting garbage
Compiler

Compiled 13 082 to 1 948 computations (85.1% saved)

prune77.0ms (0.8%)

Memory
-15.2MiB live, 39.5MiB allocated; 46ms collecting garbage
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New41911430
Fresh112
Picked415
Done101
Total42513438
Accuracy
77.4%
Counts
438 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.3%
(fma.f64 (fmod.f64 #s(approx (exp x) #s(approx (* (- (pow x -1) -1) x) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (cosh.f64 x) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (* (- (pow x -1) -1) x) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (sinh.f64 (neg.f64 x))))
25.8%
(*.f64 (fmod.f64 #s(approx (exp x) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
25.9%
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) (-.f64 #s(literal 1 binary64) x))))
25.8%
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) #s(literal 1 binary64))))
32.0%
(*.f64 (fmod.f64 #s(approx (exp x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
15.4%
(*.f64 (fmod.f64 #s(approx (exp x) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
17.5%
(*.f64 (fmod.f64 #s(approx (exp x) (*.f64 (/.f64 (+.f64 x (*.f64 x x)) (*.f64 x x)) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
28.0%
(*.f64 (fmod.f64 #s(approx (exp x) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64)))) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
61.4%
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
5.1%
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
3.2%
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
3.9%
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/24 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))))))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
✓25.2%
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) #s(literal 1 binary64)))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
Compiler

Compiled 1 108 to 454 computations (59% saved)

regimes17.0ms (0.2%)

Memory
26.1MiB live, 26.1MiB allocated; 0ms collecting garbage
Counts
30 → 2
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) #s(literal 1 binary64)))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (- x -1) 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)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) 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(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) (*.f64 (/.f64 (+.f64 x (*.f64 x x)) (*.f64 x 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)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 #s(approx (exp x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fma.f64 (fmod.f64 #s(approx (exp x) #s(approx (* (- (pow x -1) -1) x) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (cosh.f64 x) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (* (- (pow x -1) -1) x) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (sinh.f64 (neg.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/24 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))))))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64)))) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64))))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
Outputs
(*.f64 (fmod.f64 #s(approx (exp x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 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 -1) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
Calls

2 calls:

8.0ms
x
6.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
62.2%1(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
70.3%2x
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes11.0ms (0.1%)

Memory
-32.5MiB live, 15.8MiB allocated; 7ms collecting garbage
Counts
25 → 2
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) #s(literal 1 binary64)))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (- x -1) 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)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) #s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) 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(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) (*.f64 (/.f64 (+.f64 x (*.f64 x x)) (*.f64 x 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)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 #s(approx (exp x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fma.f64 (fmod.f64 #s(approx (exp x) #s(approx (* (- (pow x -1) -1) x) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (cosh.f64 x) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (* (- (pow x -1) -1) x) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (sinh.f64 (neg.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Outputs
(*.f64 (fmod.f64 #s(approx (exp x) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
68.1%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes4.0ms (0%)

Memory
8.7MiB live, 8.7MiB allocated; 0ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) #s(literal 1 binary64)))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
Outputs
(*.f64 (fmod.f64 #s(approx (exp x) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
67.3%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes5.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Accuracy

Total -37.3b remaining (-151%)

Threshold costs -37.3b (-151%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(approx (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 1) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) #s(literal 1 binary64)))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
Outputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
Calls

2 calls:

2.0ms
x
2.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
61.4%1(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
61.4%1x
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch42.0ms (0.5%)

Memory
1.0MiB live, 47.2MiB allocated; 3ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
39.0ms
-7.827435022395437e-154
-1.660907436024886e-159
Samples
33.0ms144×1valid
Compiler

Compiled 409 to 327 computations (20% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-exp: 10.0ms (35.6% of total)
ival-fmod: 7.0ms (24.9% of total)
adjust: 5.0ms (17.8% of total)
ival-mult: 2.0ms (7.1% of total)
ival-cos: 2.0ms (7.1% of total)
ival-sqrt: 2.0ms (7.1% of total)
ival-neg: 1.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch147.0ms (1.6%)

Memory
-15.7MiB live, 75.4MiB allocated; 30ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
143.0ms
-2.7694329502700493e-304
4.741055857743616e-308
Samples
137.0ms144×2valid
Compiler

Compiled 454 to 345 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 130.0ms
ival-exp: 105.0ms (80.6% of total)
ival-fmod: 9.0ms (6.9% of total)
adjust: 6.0ms (4.6% of total)
ival-sqrt: 4.0ms (3.1% of total)
ival-cos: 3.0ms (2.3% of total)
ival-mult: 2.0ms (1.5% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-2.7694329502700493e-304
4.741055857743616e-308
Compiler

Compiled 490 to 363 computations (25.9% saved)

simplify60.0ms (0.7%)

Memory
26.1MiB live, 69.3MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048180
173180
2102180
3209180
4744180
57197180
Stop Event
1×node limit
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal -2264377454892925/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 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 -1) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))))
(if (<=.f64 x #s(literal -17393943643597/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))))
(if (<=.f64 x #s(literal -17393943643597/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
Outputs
(if (<=.f64 x #s(literal -2264377454892925/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 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 -1) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))))
(if (<=.f64 x #s(literal -17393943643597/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))))
(if (<=.f64 x #s(literal -17393943643597/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))

derivations554.0ms (6.1%)

Memory
-110.2MiB live, 161.5MiB allocated; 705ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 180 to 49 computations (72.8% saved)

preprocess27.0ms (0.3%)

Memory
39.9MiB live, 39.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 380 to 114 computations (70% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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