ENA, Section 1.4, Exercise 4b, n=2

Time bar (total: 2.0s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25.7%74.3%0%0%0%0
100%25.7%0%74.3%0%0%0%1
Compiler

Compiled 25 to 18 computations (28% saved)

sample1.1s (54.3%)

Memory
23.1MiB live, 1 803.7MiB allocated; 461ms collecting garbage
Samples
382.0ms2 503×1valid
364.0ms5 145×0valid
101.0ms608×2valid
Precisions
Click to see histograms. Total time spent on operations: 627.0ms
ival-pow2: 448.0ms (71.4% of total)
adjust: 80.0ms (12.8% of total)
ival-add!: 62.0ms (9.9% of total)
ival-sub!: 37.0ms (5.9% of total)
Bogosity

preprocess39.0ms (1.9%)

Memory
-8.0MiB live, 46.3MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02262
17454
233854
3166354
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.8%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Compiler

Compiled 18 to 14 computations (22.2% saved)

series13.0ms (0.6%)

Memory
43.6MiB live, 43.6MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095365
Stop Event
iter-limit
Counts
7 → 23
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
(+.f64 x eps)
x
eps
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (pow (+ x eps) 2) (fma.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) eps)) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx x x)
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (pow (+ x eps) 2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 eps x)))))
#s(approx (pow (+ x eps) 2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 eps x) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -2 binary64) eps (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (pow (+ x eps) 2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) eps (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) x)))))
#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
#s(approx (pow (+ x eps) 2) (fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow (+ x eps) 2) (fma.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (pow (+ x eps) 2) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (pow (+ x eps) 2) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))) eps)))))
#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
Calls

6 calls:

TimeVariablePoint
1.0ms
x
-inf
1.0ms
eps
-inf
1.0ms
x
inf
1.0ms
eps
inf
1.0ms
x
0

rewrite179.0ms (8.8%)

Memory
-17.2MiB live, 366.1MiB allocated; 99ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01123
12723
210523
356623
4217623
0410021
Stop Event
iter-limit
node-limit
iter-limit
Counts
7 → 1 053
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
(+.f64 x eps)
x
eps
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
Outputs
(*.f64 (+.f64 (neg.f64 (neg.f64 (fabs.f64 (+.f64 eps x)))) (neg.f64 (neg.f64 (fabs.f64 x)))) (-.f64 (neg.f64 (neg.f64 (fabs.f64 (+.f64 eps x)))) (neg.f64 (neg.f64 (fabs.f64 x)))))
(*.f64 (+.f64 (neg.f64 (neg.f64 (fabs.f64 (+.f64 eps x)))) (neg.f64 (fabs.f64 x))) (-.f64 (neg.f64 (neg.f64 (fabs.f64 (+.f64 eps x)))) (neg.f64 (fabs.f64 x))))
(*.f64 (+.f64 (neg.f64 (neg.f64 (fabs.f64 (+.f64 eps x)))) (fabs.f64 x)) (-.f64 (neg.f64 (neg.f64 (fabs.f64 (+.f64 eps x)))) (fabs.f64 x)))
(*.f64 (+.f64 (neg.f64 (neg.f64 (fabs.f64 (+.f64 eps x)))) (neg.f64 x)) (-.f64 (neg.f64 (neg.f64 (fabs.f64 (+.f64 eps x)))) (neg.f64 x)))
(*.f64 (+.f64 (neg.f64 (neg.f64 (fabs.f64 (+.f64 eps x)))) x) (-.f64 (neg.f64 (neg.f64 (fabs.f64 (+.f64 eps x)))) x))
(*.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (neg.f64 (neg.f64 (fabs.f64 x)))) (-.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (neg.f64 (neg.f64 (fabs.f64 x)))))
(*.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (neg.f64 (neg.f64 (fabs.f64 x)))) (-.f64 (fabs.f64 (+.f64 eps x)) (neg.f64 (neg.f64 (fabs.f64 x)))))
(*.f64 (+.f64 (-.f64 (neg.f64 x) eps) (neg.f64 (neg.f64 (fabs.f64 x)))) (-.f64 (-.f64 (neg.f64 x) eps) (neg.f64 (neg.f64 (fabs.f64 x)))))
(*.f64 (+.f64 (+.f64 eps x) (neg.f64 (neg.f64 (fabs.f64 x)))) (-.f64 (+.f64 eps x) (neg.f64 (neg.f64 (fabs.f64 x)))))
(*.f64 (neg.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 x))) (-.f64 (fabs.f64 x) (fabs.f64 (+.f64 eps x))))
(*.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (neg.f64 (fabs.f64 x))) (-.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (neg.f64 (fabs.f64 x))))
(*.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (fabs.f64 x)) (-.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (fabs.f64 x)))
(*.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (neg.f64 x)) (-.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (neg.f64 x)))
(*.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) x) (-.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) x))
(*.f64 (-.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 x)) (+.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 x)))
(*.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 x)) (-.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 x)))
(*.f64 (+.f64 (fabs.f64 (+.f64 eps x)) x) (-.f64 (fabs.f64 (+.f64 eps x)) x))
(*.f64 (-.f64 (fabs.f64 (+.f64 eps x)) x) (+.f64 (fabs.f64 (+.f64 eps x)) x))
(*.f64 (-.f64 (-.f64 (neg.f64 x) eps) (fabs.f64 x)) (-.f64 (-.f64 (fabs.f64 x) x) eps))
(*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps) (-.f64 #s(literal 0 binary64) eps))
(*.f64 (+.f64 x (-.f64 eps (fabs.f64 x))) (+.f64 (+.f64 (fabs.f64 x) x) eps))
(*.f64 (+.f64 (+.f64 (fabs.f64 x) x) eps) (+.f64 x (-.f64 eps (fabs.f64 x))))
(*.f64 (-.f64 (-.f64 (fabs.f64 x) x) eps) (-.f64 (-.f64 (neg.f64 x) eps) (fabs.f64 x)))
(*.f64 (-.f64 (neg.f64 x) (fabs.f64 (+.f64 eps x))) (-.f64 x (fabs.f64 (+.f64 eps x))))
(*.f64 (-.f64 x (fabs.f64 (+.f64 eps x))) (-.f64 (neg.f64 x) (fabs.f64 (+.f64 eps x))))
(*.f64 (-.f64 eps #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 eps #s(literal 0 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) eps) (-.f64 (*.f64 #s(literal -2 binary64) x) eps))
(/.f64 (fma.f64 (+.f64 (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x x)) (*.f64 x x)) #s(literal 2 binary64) (*.f64 (+.f64 eps eps) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 x (-.f64 eps #s(literal 0 binary64)) (*.f64 eps eps)) #s(literal 2 binary64) (*.f64 (+.f64 eps eps) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 0 binary64) (*.f64 (+.f64 eps x) eps)) #s(literal 2 binary64) (*.f64 (+.f64 eps eps) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 (-.f64 eps x) (+.f64 eps x) (*.f64 (+.f64 eps x) x)) #s(literal 2 binary64) (*.f64 (+.f64 eps eps) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 (neg.f64 x) x (fma.f64 eps eps (*.f64 x x))) #s(literal 2 binary64) (*.f64 (*.f64 (+.f64 eps eps) x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (-.f64 (*.f64 eps eps) #s(literal 0 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 (+.f64 eps eps) x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 0 binary64) (*.f64 eps eps)) #s(literal 2 binary64) (*.f64 (*.f64 (+.f64 eps eps) x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 #s(literal 0 binary64) eps)))
(fma.f64 (+.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (neg.f64 (fabs.f64 x)))) (-.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (neg.f64 (fabs.f64 x)))) (*.f64 x (fma.f64 #s(literal 2 binary64) eps x)))
(fma.f64 (+.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 x))) (-.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 x))) (*.f64 x (fma.f64 #s(literal 2 binary64) eps x)))
(fma.f64 (+.f64 (neg.f64 (fabs.f64 eps)) (fabs.f64 x)) (-.f64 (neg.f64 (fabs.f64 eps)) (fabs.f64 x)) (*.f64 x (fma.f64 #s(literal 2 binary64) eps x)))
(fma.f64 (+.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 x)) (-.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 x)) (*.f64 x (fma.f64 #s(literal 2 binary64) eps x)))
(fma.f64 (+.f64 (neg.f64 (fabs.f64 eps)) x) (-.f64 (neg.f64 (fabs.f64 eps)) x) (*.f64 x (fma.f64 #s(literal 2 binary64) eps x)))
(fma.f64 (+.f64 (fabs.f64 eps) (neg.f64 (neg.f64 (fabs.f64 x)))) (-.f64 (fabs.f64 eps) (neg.f64 (neg.f64 (fabs.f64 x)))) (*.f64 x (fma.f64 #s(literal 2 binary64) eps x)))
(fma.f64 (+.f64 (neg.f64 eps) (neg.f64 (neg.f64 (fabs.f64 x)))) (-.f64 (neg.f64 eps) (neg.f64 (neg.f64 (fabs.f64 x)))) (*.f64 x (fma.f64 #s(literal 2 binary64) eps x)))
(fma.f64 (+.f64 eps (neg.f64 (neg.f64 (fabs.f64 x)))) (-.f64 eps (neg.f64 (neg.f64 (fabs.f64 x)))) (*.f64 x (fma.f64 #s(literal 2 binary64) eps x)))
(fma.f64 (+.f64 (neg.f64 (fabs.f64 eps)) #s(literal 0 binary64)) (-.f64 (neg.f64 (fabs.f64 eps)) #s(literal 0 binary64)) (*.f64 (+.f64 eps eps) x))
(fma.f64 (+.f64 (fabs.f64 eps) #s(literal 0 binary64)) (-.f64 (fabs.f64 eps) #s(literal 0 binary64)) (*.f64 (+.f64 eps eps) x))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 eps)) #s(literal -2 binary64)) (/.f64 x #s(literal -1 binary64)) (fma.f64 eps eps (fma.f64 eps x #s(literal 0 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 eps)) #s(literal -2 binary64)) (/.f64 x #s(literal -1 binary64)) (fma.f64 x x (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x x))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 eps)) #s(literal -2 binary64)) (/.f64 x #s(literal -1 binary64)) (fma.f64 (+.f64 eps x) eps #s(literal 0 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 eps)) #s(literal -2 binary64)) (/.f64 x #s(literal -1 binary64)) (fma.f64 (+.f64 eps x) x (*.f64 (-.f64 eps x) (+.f64 eps x))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 eps)) #s(literal -2 binary64)) (/.f64 x #s(literal -1 binary64)) (fma.f64 eps x (+.f64 #s(literal 0 binary64) (*.f64 eps eps))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 eps)) #s(literal -2 binary64)) (/.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 (+.f64 eps x) x) (*.f64 (-.f64 x eps) (+.f64 eps x))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 eps)) #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64)) (fma.f64 eps eps (fma.f64 eps x #s(literal 0 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 eps)) #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64)) (fma.f64 x x (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x x))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 eps)) #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64)) (fma.f64 (+.f64 eps x) eps #s(literal 0 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 eps)) #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64)) (fma.f64 (+.f64 eps x) x (*.f64 (-.f64 eps x) (+.f64 eps x))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 eps)) #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64)) (fma.f64 eps x (+.f64 #s(literal 0 binary64) (*.f64 eps eps))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 eps)) #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 eps x) x) (*.f64 (-.f64 x eps) (+.f64 eps x))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 eps)) #s(literal 2 binary64)) x (fma.f64 eps eps (fma.f64 eps x #s(literal 0 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 eps)) #s(literal 2 binary64)) x (fma.f64 x x (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x x))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 eps)) #s(literal 2 binary64)) x (fma.f64 (+.f64 eps x) eps #s(literal 0 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 eps)) #s(literal 2 binary64)) x (fma.f64 (+.f64 eps x) x (*.f64 (-.f64 eps x) (+.f64 eps x))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 eps)) #s(literal 2 binary64)) x (fma.f64 eps x (+.f64 #s(literal 0 binary64) (*.f64 eps eps))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 eps)) #s(literal 2 binary64)) x (-.f64 (*.f64 (+.f64 eps x) x) (*.f64 (-.f64 x eps) (+.f64 eps x))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (/.f64 (neg.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (fma.f64 eps x #s(literal 0 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (/.f64 (neg.f64 eps) #s(literal 2 binary64)) (fma.f64 x x (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x x))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (/.f64 (neg.f64 eps) #s(literal 2 binary64)) (fma.f64 (+.f64 eps x) eps #s(literal 0 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (/.f64 (neg.f64 eps) #s(literal 2 binary64)) (fma.f64 (+.f64 eps x) x (*.f64 (-.f64 eps x) (+.f64 eps x))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (/.f64 (neg.f64 eps) #s(literal 2 binary64)) (fma.f64 eps x (+.f64 #s(literal 0 binary64) (*.f64 eps eps))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (/.f64 (neg.f64 eps) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 eps x) x) (*.f64 (-.f64 x eps) (+.f64 eps x))))
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(+.f64 (*.f64 eps x) (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (neg.f64 x) x)))
(+.f64 (*.f64 eps x) (-.f64 (*.f64 (+.f64 eps x) x) (*.f64 (neg.f64 eps) eps)))
(+.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(/.f64 (fma.f64 #s(literal 2 binary64) eps (+.f64 x x)) #s(literal 2 binary64))
(neg.f64 (-.f64 (neg.f64 x) eps))
(-.f64 eps (neg.f64 x))
(-.f64 x (neg.f64 eps))
(+.f64 eps x)
(+.f64 x eps)
x
eps
#s(literal 2 binary64)
(*.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))))
(*.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) x))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 x) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 x x) (+.f64 x x)) #s(literal 4 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 x (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 (neg.f64 x) (fabs.f64 x)))
(fabs.f64 (*.f64 x (fabs.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) x))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))

eval179.0ms (8.8%)

Memory
-9.4MiB live, 218.6MiB allocated; 63ms collecting garbage
Compiler

Compiled 18 519 to 2 032 computations (89% saved)

prune50.0ms (2.5%)

Memory
0.9MiB live, 47.3MiB allocated; 3ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1 06831 071
Fresh000
Picked101
Done000
Total1 06931 072
Accuracy
100.0%
Counts
1 072 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 x x) eps (fma.f64 eps eps #s(literal 0 binary64)))
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
63.6%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

series13.0ms (0.7%)

Memory
36.1MiB live, 36.1MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058221
Stop Event
iter-limit
Counts
14 → 16
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
#s(literal 2 binary64)
(*.f64 eps x)
eps
x
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(fma.f64 (+.f64 x x) eps (fma.f64 eps eps #s(literal 0 binary64)))
(+.f64 x x)
(fma.f64 eps eps #s(literal 0 binary64))
#s(literal 0 binary64)
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* 2 (* eps x)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
#s(approx (* eps x) (*.f64 eps x))
#s(approx x x)
#s(approx (+ eps (* 2 x)) eps)
#s(approx (+ eps (* 2 x)) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx (* 2 x) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (+ eps (* 2 x)) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -2 binary64) eps (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (+ eps (* 2 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (+ eps (* 2 x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (+ eps (* 2 x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
Calls

6 calls:

TimeVariablePoint
2.0ms
eps
0
2.0ms
x
-inf
2.0ms
x
inf
2.0ms
eps
-inf
1.0ms
eps
inf

rewrite93.0ms (4.5%)

Memory
-10.0MiB live, 182.2MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01875
02872
17972
226772
3118672
0408668
Stop Event
iter-limit
node-limit
iter-limit
Counts
14 → 579
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
#s(literal 2 binary64)
(*.f64 eps x)
eps
x
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(fma.f64 (+.f64 x x) eps (fma.f64 eps eps #s(literal 0 binary64)))
(+.f64 x x)
(fma.f64 eps eps #s(literal 0 binary64))
#s(literal 0 binary64)
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
(*.f64 (fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 eps eps) x)
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x x) eps))
(*.f64 (*.f64 (+.f64 x x) eps) #s(literal 1 binary64))
(*.f64 (+.f64 x x) eps)
(*.f64 (*.f64 eps x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 x x))
(*.f64 x (+.f64 eps eps))
(/.f64 (fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (+.f64 x x) eps) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 eps eps) x #s(literal 1 binary64)) (E.f64)) (E.f64)) (E.f64))
(/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 eps eps) x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 eps eps) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x x) eps) #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x x) eps) #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))) #s(literal 8 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (+.f64 (fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 8 binary64))
(/.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal -4 binary64))
(/.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 2 binary64) #s(literal 0 binary64)))) #s(literal 8 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 2 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 2 binary64) #s(literal 0 binary64)))) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 2 binary64) #s(literal 0 binary64)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 8 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (E.f64) (fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 2 binary64) #s(literal 0 binary64))) (*.f64 (E.f64) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 2 binary64) #s(literal 0 binary64)) (E.f64)) (*.f64 #s(literal 2 binary64) (E.f64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 x x) eps) #s(literal 1 binary64))
(neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (+.f64 eps eps) x #s(literal 1 binary64))))
(neg.f64 (-.f64 (*.f64 (neg.f64 x) eps) (+.f64 #s(literal 0 binary64) (*.f64 eps x))))
(neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x x) eps)) #s(literal 1 binary64)))
(neg.f64 (-.f64 (fma.f64 (neg.f64 x) eps #s(literal 0 binary64)) (*.f64 eps x)))
(neg.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) eps) #s(literal 1 binary64)) (*.f64 eps x)))
(neg.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) (*.f64 eps x)))
(neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)))
(fma.f64 (*.f64 #s(literal 1 binary64) eps) x (fma.f64 eps x #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) eps) x (neg.f64 (*.f64 (neg.f64 x) eps)))
(fma.f64 (*.f64 #s(literal 1 binary64) eps) x (*.f64 eps x))
(fma.f64 (fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 eps eps) x #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x x) eps) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 eps x) (fma.f64 eps x #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps x) (neg.f64 (*.f64 (neg.f64 x) eps)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps x) (*.f64 eps x))
(fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 x x) eps #s(literal 0 binary64))
(fma.f64 (*.f64 eps x) #s(literal 1 binary64) (fma.f64 eps x #s(literal 0 binary64)))
(fma.f64 (*.f64 eps x) #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 x) eps)))
(fma.f64 (*.f64 eps x) #s(literal 1 binary64) (*.f64 eps x))
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) #s(literal 0 binary64))
(fma.f64 eps (+.f64 x x) #s(literal 0 binary64))
(fma.f64 eps x (fma.f64 eps x #s(literal 0 binary64)))
(fma.f64 eps x (neg.f64 (*.f64 (neg.f64 x) eps)))
(fma.f64 eps x (*.f64 eps x))
(fma.f64 x (*.f64 eps #s(literal 1 binary64)) (fma.f64 eps x #s(literal 0 binary64)))
(fma.f64 x (*.f64 eps #s(literal 1 binary64)) (neg.f64 (*.f64 (neg.f64 x) eps)))
(fma.f64 x (*.f64 eps #s(literal 1 binary64)) (*.f64 eps x))
(fma.f64 x (+.f64 eps eps) #s(literal 0 binary64))
(fma.f64 x eps (fma.f64 eps x #s(literal 0 binary64)))
(fma.f64 x eps (neg.f64 (*.f64 (neg.f64 x) eps)))
(fma.f64 x eps (*.f64 eps x))
(-.f64 (fma.f64 (+.f64 eps eps) x #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 0 binary64) (*.f64 eps x)) (*.f64 (neg.f64 x) eps))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x x) eps)))
(-.f64 (*.f64 (+.f64 x x) eps) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (*.f64 eps x)))
(-.f64 (*.f64 eps x) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) eps))))
(-.f64 (*.f64 eps x) (fma.f64 (neg.f64 x) eps #s(literal 0 binary64)))
(-.f64 (*.f64 eps x) (-.f64 #s(literal 0 binary64) (*.f64 eps x)))
(-.f64 (*.f64 eps x) (*.f64 (*.f64 (neg.f64 x) eps) #s(literal 1 binary64)))
(-.f64 (*.f64 eps x) (*.f64 #s(literal -1 binary64) (*.f64 eps x)))
(-.f64 (*.f64 eps x) (*.f64 (neg.f64 x) eps))
(+.f64 (/.f64 (*.f64 (*.f64 (+.f64 x x) eps) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 (fma.f64 (+.f64 eps eps) x #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (+.f64 #s(literal 0 binary64) (*.f64 eps x)) (*.f64 eps x))
(+.f64 (*.f64 (+.f64 x x) eps) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) eps)))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 eps) (*.f64 #s(literal -2 binary64) x)))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 x) eps) #s(literal -2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (+.f64 x x) eps))
(+.f64 (*.f64 eps x) (fma.f64 eps x #s(literal 0 binary64)))
(+.f64 (*.f64 eps x) (neg.f64 (*.f64 (neg.f64 x) eps)))
(+.f64 (*.f64 eps x) (*.f64 eps x))
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 1 binary64) eps) x)
(*.f64 #s(literal 1 binary64) (*.f64 eps x))
(*.f64 (*.f64 eps x) #s(literal 1 binary64))
(*.f64 eps x)
(*.f64 x (*.f64 eps #s(literal 1 binary64)))
(*.f64 x eps)
(/.f64 (*.f64 eps x) #s(literal 1 binary64))
eps
x
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(*.f64 (neg.f64 eps) (-.f64 (*.f64 #s(literal -2 binary64) x) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps #s(literal -1 binary64)) (E.f64) (E.f64)) (E.f64))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps #s(literal -1 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
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(fabs.f64 (*.f64 eps (fabs.f64 eps)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 eps)))
(fabs.f64 (*.f64 (fabs.f64 eps) (neg.f64 eps)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 eps)) eps))
(fabs.f64 (*.f64 (fabs.f64 eps) eps))
(fabs.f64 (*.f64 (neg.f64 eps) eps))
(fabs.f64 (*.f64 eps eps))
(+.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 (fma.f64 eps eps #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (fma.f64 eps eps #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 eps eps) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 eps eps))
#s(literal 0 binary64)

eval43.0ms (2.1%)

Memory
-18.9MiB live, 123.1MiB allocated; 13ms collecting garbage
Compiler

Compiled 7 908 to 1 188 computations (85% saved)

prune8.0ms (0.4%)

Memory
25.9MiB live, 25.9MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New4125417
Fresh000
Picked303
Done000
Total4155420
Accuracy
100.0%
Counts
420 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
63.6%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x)))
69.9%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
Compiler

Compiled 150 to 98 computations (34.7% saved)

series14.0ms (0.7%)

Memory
-19.8MiB live, 25.8MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074267
Stop Event
iter-limit
Counts
18 → 20
Calls
Call 1
Inputs
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(+.f64 x x)
x
eps
(*.f64 eps eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
(*.f64 eps #s(approx (+ eps (* 2 x)) eps))
#s(approx (+ eps (* 2 x)) eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
(*.f64 (+.f64 x x) eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x)))
(*.f64 eps (+.f64 (+.f64 eps x) x))
(+.f64 (+.f64 eps x) x)
(+.f64 eps x)
Outputs
#s(approx (+ (* (+ x x) eps) (* eps eps)) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (+ (* (+ x x) eps) (* eps eps)) (fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx x x)
#s(approx (+ eps (* 2 x)) eps)
#s(approx (+ eps (* 2 x)) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx (* (+ x x) eps) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (+ (* (+ x x) eps) (* eps eps)) (*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (+ eps (* 2 x)) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(approx (+ eps x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (+ (* (+ x x) eps) (* eps eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -2 binary64) eps (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (+ eps (* 2 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (+ eps x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (+ (* (+ x x) eps) (* eps eps)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
#s(approx (+ (* (+ x x) eps) (* eps eps)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (+ eps (* 2 x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (+ eps x) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (+ eps (* 2 x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (+ eps x) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
Calls

6 calls:

TimeVariablePoint
4.0ms
eps
0
1.0ms
x
-inf
1.0ms
eps
-inf
1.0ms
eps
inf
1.0ms
x
inf

rewrite117.0ms (5.7%)

Memory
24.2MiB live, 170.5MiB allocated; 56ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024130
034122
188122
2263122
3965118
42929118
04253114
Stop Event
iter-limit
node-limit
iter-limit
Counts
18 → 357
Calls
Call 1
Inputs
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(+.f64 x x)
x
eps
(*.f64 eps eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
(*.f64 eps #s(approx (+ eps (* 2 x)) eps))
#s(approx (+ eps (* 2 x)) eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
(*.f64 (+.f64 x x) eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x)))
(*.f64 eps (+.f64 (+.f64 eps x) x))
(+.f64 (+.f64 eps x) x)
(+.f64 eps x)
Outputs
(*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps) (neg.f64 eps))
(*.f64 (neg.f64 eps) (-.f64 (*.f64 #s(literal -2 binary64) x) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps) eps))
(fma.f64 (*.f64 eps #s(literal -1 binary64)) (*.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 x x) eps))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 (+.f64 x x) eps))
(fma.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (+.f64 x x) eps))
(fma.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 x x) eps))
(fma.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x) (*.f64 eps eps))
(fma.f64 (+.f64 eps eps) x (*.f64 eps eps))
(fma.f64 (*.f64 (neg.f64 x) eps) #s(literal -2 binary64) (*.f64 eps eps))
(fma.f64 (-.f64 (neg.f64 x) eps) (neg.f64 eps) (*.f64 eps x))
(fma.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)) (*.f64 (+.f64 x x) eps))
(fma.f64 #s(literal 1 binary64) (*.f64 eps x) (*.f64 (+.f64 eps x) eps))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x x) eps) (*.f64 eps eps))
(fma.f64 (*.f64 eps x) #s(literal 1 binary64) (*.f64 (+.f64 eps x) eps))
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 eps eps))
(fma.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) eps) (*.f64 eps eps))
(fma.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 eps) (*.f64 eps eps))
(fma.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps) (*.f64 eps eps))
(fma.f64 (neg.f64 x) (neg.f64 eps) (*.f64 (+.f64 eps x) eps))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (*.f64 (+.f64 x x) eps))
(fma.f64 (neg.f64 eps) (-.f64 (neg.f64 x) eps) (*.f64 eps x))
(fma.f64 (neg.f64 eps) (*.f64 #s(literal -2 binary64) x) (*.f64 eps eps))
(fma.f64 (neg.f64 eps) (neg.f64 x) (*.f64 (+.f64 eps x) eps))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 (+.f64 x x) eps))
(fma.f64 (+.f64 eps x) eps (*.f64 eps x))
(fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 1 binary64) (*.f64 eps eps))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) eps)) (*.f64 eps eps))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps (+.f64 eps x) (*.f64 eps x))
(fma.f64 eps (+.f64 x x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(fma.f64 eps x (*.f64 (+.f64 eps x) eps))
(fma.f64 x (+.f64 eps eps) (*.f64 eps eps))
(fma.f64 x eps (*.f64 (+.f64 eps x) eps))
(-.f64 (*.f64 eps x) (*.f64 (-.f64 (neg.f64 x) eps) eps))
(-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (neg.f64 x) eps))
(-.f64 (*.f64 (+.f64 x x) eps) (*.f64 (neg.f64 eps) eps))
(-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal -2 binary64)))
(+.f64 (*.f64 eps x) (*.f64 (+.f64 eps x) eps))
(+.f64 (*.f64 (+.f64 eps x) eps) (*.f64 eps x))
(+.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps))
(+.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps))
(*.f64 #s(literal 1 binary64) (+.f64 x x))
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(*.f64 (neg.f64 x) #s(literal -2 binary64))
(*.f64 (+.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) x)) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -4 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 8 binary64))
(/.f64 (*.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 4 binary64)) #s(literal 8 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 8 binary64) (+.f64 x x)) #s(literal 8 binary64))
(/.f64 (*.f64 (+.f64 x x) #s(literal 8 binary64)) #s(literal 8 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 8 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 8 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -4 binary64))
(/.f64 (*.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal -4 binary64))
(/.f64 (*.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal -2 binary64)) #s(literal -4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 x x)) #s(literal 4 binary64))
(/.f64 (*.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal -2 binary64))
(/.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (+.f64 x x) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 x x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(-.f64 x (neg.f64 x))
(+.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(+.f64 (+.f64 x x) #s(literal 0 binary64))
(+.f64 x x)
x
eps
(*.f64 (*.f64 eps #s(literal -1 binary64)) (*.f64 eps #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 #s(literal 1 binary64) (neg.f64 eps)))
(*.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal -1 binary64) eps))
(*.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)))
(*.f64 (fabs.f64 eps) (fabs.f64 eps))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 eps eps)
(pow.f64 (pow.f64 eps #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 eps)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 eps) #s(literal 2 binary64))
(pow.f64 (neg.f64 eps) #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 eps #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 eps eps) (+.f64 eps eps)) #s(literal 4 binary64))
(neg.f64 (*.f64 (neg.f64 eps) eps))
(sqrt.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 eps) (neg.f64 (fabs.f64 eps)))))
(fabs.f64 (neg.f64 (*.f64 eps (neg.f64 (fabs.f64 eps)))))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 eps) (fabs.f64 eps))))
(fabs.f64 (neg.f64 (*.f64 eps (fabs.f64 eps))))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 eps))))
(fabs.f64 (neg.f64 (*.f64 (fabs.f64 eps) (neg.f64 eps))))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 eps)) eps)))
(fabs.f64 (neg.f64 (*.f64 (fabs.f64 eps) eps)))
(fabs.f64 (*.f64 (neg.f64 eps) (neg.f64 (fabs.f64 eps))))
(fabs.f64 (*.f64 eps (neg.f64 (fabs.f64 eps))))
(fabs.f64 (*.f64 (neg.f64 eps) (fabs.f64 eps)))
(fabs.f64 (*.f64 eps (fabs.f64 eps)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 eps)))
(fabs.f64 (*.f64 (fabs.f64 eps) (neg.f64 eps)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 eps)) eps))
(fabs.f64 (*.f64 (fabs.f64 eps) eps))
(fabs.f64 (*.f64 (neg.f64 eps) eps))
(fabs.f64 (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(approx (+ eps (* 2 x)) eps) eps))
(*.f64 #s(approx (+ eps (* 2 x)) eps) eps)
(*.f64 eps #s(approx (+ eps (* 2 x)) eps))
(neg.f64 (*.f64 (neg.f64 eps) #s(approx (+ eps (* 2 x)) eps)))
(neg.f64 (*.f64 #s(approx (+ eps (* 2 x)) eps) (neg.f64 eps)))
#s(approx (+ eps (* 2 x)) eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
(*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))
(*.f64 (+.f64 eps eps) x)
(*.f64 (*.f64 (neg.f64 x) eps) #s(literal -2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x x) eps))
(*.f64 (*.f64 eps x) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) eps))
(*.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 eps))
(*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))
(*.f64 (neg.f64 eps) (*.f64 #s(literal -2 binary64) x))
(*.f64 (*.f64 (+.f64 x x) eps) #s(literal 1 binary64))
(*.f64 (+.f64 x x) eps)
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) eps)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 x x))
(*.f64 x (+.f64 eps eps))
(/.f64 (*.f64 (*.f64 (+.f64 eps eps) #s(literal 2 binary64)) (+.f64 x x)) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal -2 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 x x) eps) #s(literal 2 binary64))) #s(literal 8 binary64))
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(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(fma.f64 eps x (*.f64 (+.f64 eps x) eps))
(fma.f64 x (+.f64 eps eps) (*.f64 eps eps))
(fma.f64 x eps (*.f64 (+.f64 eps x) eps))
(-.f64 (*.f64 eps x) (*.f64 (-.f64 (neg.f64 x) eps) eps))
(-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (neg.f64 x) eps))
(-.f64 (*.f64 (+.f64 x x) eps) (*.f64 (neg.f64 eps) eps))
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(+.f64 (*.f64 eps x) (*.f64 (+.f64 eps x) eps))
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(+.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps))
(+.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps))
(neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps))
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(fma.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64) eps)
(fma.f64 (neg.f64 x) #s(literal -2 binary64) eps)
(fma.f64 (+.f64 x x) #s(literal 1 binary64) eps)
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 x)) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
(-.f64 (+.f64 eps x) (neg.f64 x))
(-.f64 (+.f64 x x) (neg.f64 eps))
(-.f64 eps (*.f64 #s(literal -2 binary64) x))
(-.f64 x (-.f64 (neg.f64 x) eps))
(+.f64 (+.f64 eps x) x)
(+.f64 (+.f64 x x) eps)
(+.f64 eps (+.f64 x x))
(+.f64 x (+.f64 eps x))
#s(literal 2 binary64)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps) (neg.f64 eps))
(*.f64 (neg.f64 eps) (-.f64 (*.f64 #s(literal -2 binary64) x) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps) eps))
(fma.f64 (*.f64 eps #s(literal -1 binary64)) (*.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 x x) eps))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 (+.f64 x x) eps))
(fma.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (+.f64 x x) eps))
(fma.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 x x) eps))
(fma.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x) (*.f64 eps eps))
(fma.f64 (+.f64 eps eps) x (*.f64 eps eps))
(fma.f64 (*.f64 (neg.f64 x) eps) #s(literal -2 binary64) (*.f64 eps eps))
(fma.f64 (-.f64 (neg.f64 x) eps) (neg.f64 eps) (*.f64 eps x))
(fma.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)) (*.f64 (+.f64 x x) eps))
(fma.f64 #s(literal 1 binary64) (*.f64 eps x) (*.f64 (+.f64 eps x) eps))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x x) eps) (*.f64 eps eps))
(fma.f64 (*.f64 eps x) #s(literal 1 binary64) (*.f64 (+.f64 eps x) eps))
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(fma.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) eps) (*.f64 eps eps))
(fma.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 eps) (*.f64 eps eps))
(fma.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps) (*.f64 eps eps))
(fma.f64 (neg.f64 x) (neg.f64 eps) (*.f64 (+.f64 eps x) eps))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (*.f64 (+.f64 x x) eps))
(fma.f64 (neg.f64 eps) (-.f64 (neg.f64 x) eps) (*.f64 eps x))
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(fma.f64 (neg.f64 eps) (neg.f64 x) (*.f64 (+.f64 eps x) eps))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 (+.f64 x x) eps))
(fma.f64 (+.f64 eps x) eps (*.f64 eps x))
(fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 1 binary64) (*.f64 eps eps))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) eps)) (*.f64 eps eps))
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(fma.f64 eps (+.f64 eps x) (*.f64 eps x))
(fma.f64 eps (+.f64 x x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(fma.f64 eps x (*.f64 (+.f64 eps x) eps))
(fma.f64 x (+.f64 eps eps) (*.f64 eps eps))
(fma.f64 x eps (*.f64 (+.f64 eps x) eps))
(-.f64 (*.f64 eps x) (*.f64 (-.f64 (neg.f64 x) eps) eps))
(-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (neg.f64 x) eps))
(-.f64 (*.f64 (+.f64 x x) eps) (*.f64 (neg.f64 eps) eps))
(-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal -2 binary64)))
(+.f64 (*.f64 eps x) (*.f64 (+.f64 eps x) eps))
(+.f64 (*.f64 (+.f64 eps x) eps) (*.f64 eps x))
(+.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps))
(+.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps))
(neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps))
(fma.f64 #s(literal 1 binary64) (+.f64 x x) eps)
(fma.f64 #s(literal -2 binary64) (neg.f64 x) eps)
(fma.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64) eps)
(fma.f64 (neg.f64 x) #s(literal -2 binary64) eps)
(fma.f64 (+.f64 x x) #s(literal 1 binary64) eps)
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 x)) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
(-.f64 (+.f64 eps x) (neg.f64 x))
(-.f64 (+.f64 x x) (neg.f64 eps))
(-.f64 eps (*.f64 #s(literal -2 binary64) x))
(-.f64 x (-.f64 (neg.f64 x) eps))
(+.f64 (+.f64 eps x) x)
(+.f64 (+.f64 x x) eps)
(+.f64 eps (+.f64 x x))
(+.f64 x (+.f64 eps x))
(neg.f64 (-.f64 (neg.f64 x) eps))
(-.f64 eps (neg.f64 x))
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(+.f64 eps x)
(+.f64 x eps)

eval38.0ms (1.8%)

Memory
-10.5MiB live, 76.4MiB allocated; 18ms collecting garbage
Compiler

Compiled 4 923 to 774 computations (84.3% saved)

prune7.0ms (0.3%)

Memory
19.0MiB live, 19.0MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New3080308
Fresh000
Picked055
Done000
Total3085313
Accuracy
100.0%
Counts
313 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
63.6%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x)))
69.9%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
Compiler

Compiled 75 to 49 computations (34.7% saved)

regimes33.0ms (1.6%)

Memory
1.8MiB live, 54.3MiB allocated; 14ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
3 → 2
6 → 1
9 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
Call 2
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
Call 3
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
Call 4
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(fma.f64 (+.f64 x x) eps (fma.f64 eps eps #s(literal 0 binary64)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Outputs
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
Calls

12 calls:

12.0ms
eps
3.0ms
x
2.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
2.0ms
eps
2.0ms
x
Results
AccuracySegmentsBranch
69.9%1eps
69.9%1x
69.9%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
98.0%2(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
92.8%3x
85.6%3eps
100.0%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
100.0%1x
100.0%1eps
100.0%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
100.0%1x
100.0%1eps
Compiler

Compiled 169 to 83 computations (50.9% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
5e-324
Compiler

Compiled 12 to 12 computations (0% saved)

derivations71.0ms (3.5%)

Memory
-4.2MiB live, 86.9MiB allocated; 10ms collecting garbage
Stop Event
done
Compiler

Compiled 89 to 28 computations (68.5% saved)

preprocess36.0ms (1.8%)

Memory
-13.3MiB live, 77.5MiB allocated; 23ms collecting garbage
Compiler

Compiled 98 to 35 computations (64.3% saved)

end0.0ms (0%)

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

Profiling

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