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

Time bar (total: 1.8s)

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%25.7%74.3%0.0%0.0%0.0%0
100.0%25.7%0.0%74.3%0.0%0.0%0.0%1
Compiler

Compiled 25 to 18 computations (28.0% saved)

sample954.0ms (51.6%)

Memory
-29.8MiB live, 1 562.8MiB allocated; 299ms collecting garbage
Samples
323.0ms5 136×0valid
295.0ms2 515×1valid
97.0ms605×2valid
Precisions
Click to see histograms. Total time spent on operations: 435.0ms
ival-pow2: 269.0ms (61.9% of total)
adjust: 80.0ms (18.4% of total)
ival-sub!: 44.0ms (10.1% of total)
ival-add!: 42.0ms (9.7% of total)
Bogosity

preprocess30.0ms (1.6%)

Memory
-1.1MiB live, 45.6MiB allocated; 3ms 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
78.8%
(-.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)

sample0.0ms (0.0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
2
Outputs
#s(literal 2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series12.0ms (0.7%)

Memory
26.9MiB live, 26.9MiB 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
x
0
1.0ms
eps
inf

rewrite168.0ms (9.1%)

Memory
7.7MiB live, 199.1MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01123
16923
224823
3118123
0411823
Stop Event
iter-limit
node-limit
iter-limit
Counts
7 → 500
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 (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))) (neg.f64 (neg.f64 x))) (-.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (neg.f64 (neg.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 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 eps x) x) (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) eps)))) (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) eps)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 eps x) eps) (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) x)))) (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 x) x (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))))) (fma.f64 (neg.f64 x) x (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (fma.f64 (neg.f64 x) x (*.f64 x x)))) (fma.f64 (neg.f64 x) x (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps eps) (fma.f64 (neg.f64 x) x (fma.f64 (+.f64 eps x) x (*.f64 eps x))))) (fma.f64 (neg.f64 x) x (fma.f64 (+.f64 eps x) x (*.f64 eps x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 eps x) x (*.f64 eps x)) (*.f64 (-.f64 eps x) (+.f64 eps x)))) (*.f64 (-.f64 eps x) (+.f64 eps x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (+.f64 eps x) x) (*.f64 x x)) (*.f64 (+.f64 eps x) eps))) (*.f64 (+.f64 eps x) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x x)) (*.f64 (+.f64 eps x) x))) (*.f64 (+.f64 eps x) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x x) (+.f64 x x)) (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))) (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (+.f64 eps x) x (*.f64 eps x)) (*.f64 x x)) (*.f64 eps eps))) (*.f64 eps eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (-.f64 eps x) (+.f64 eps x))) (*.f64 (+.f64 x x) eps))) (*.f64 (+.f64 x x) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 x x) eps (*.f64 (-.f64 eps x) (+.f64 eps x))) (*.f64 x x))) (*.f64 x x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 x x)) (*.f64 x x))) (*.f64 x x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 eps) eps) (fma.f64 (neg.f64 x) x (fma.f64 (+.f64 eps x) x (*.f64 eps x))))) (fma.f64 (neg.f64 x) x (fma.f64 (+.f64 eps x) x (*.f64 eps x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (neg.f64 x) eps) (+.f64 eps x)) (*.f64 (neg.f64 x) x))) (*.f64 (neg.f64 x) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 x x) (+.f64 x x) (*.f64 #s(literal -2 binary64) (*.f64 eps x))) (*.f64 eps eps))) (*.f64 eps eps))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (fma.f64 (+.f64 eps x) x (*.f64 eps x)))) (fma.f64 (+.f64 eps x) x (*.f64 eps x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) eps) x (*.f64 (-.f64 x eps) (+.f64 eps x))) (*.f64 x x))) (*.f64 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 (neg.f64 x) eps) (fabs.f64 x)))
(*.f64 (+.f64 (-.f64 (neg.f64 x) eps) (fabs.f64 x)) (-.f64 (-.f64 (neg.f64 x) eps) (fabs.f64 x)))
(*.f64 (+.f64 (-.f64 (neg.f64 x) eps) x) (neg.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps)) (+.f64 (-.f64 (neg.f64 x) eps) x))
(*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps)) (-.f64 (-.f64 x eps) x))
(*.f64 (-.f64 (+.f64 eps x) (fabs.f64 x)) (+.f64 (+.f64 eps x) (fabs.f64 x)))
(*.f64 (+.f64 (+.f64 eps x) (fabs.f64 x)) (-.f64 (+.f64 eps x) (fabs.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 (neg.f64 x) x))) (*.f64 (neg.f64 x) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 eps x) (+.f64 eps x)) (fma.f64 (+.f64 eps x) x (*.f64 eps x)))) (fma.f64 (+.f64 eps x) x (*.f64 eps x)))
(*.f64 (-.f64 eps (-.f64 x x)) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 eps (-.f64 x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (+.f64 eps x) (+.f64 eps x)))) (*.f64 (+.f64 eps x) (+.f64 eps x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 eps x) (+.f64 eps x)))) (*.f64 (+.f64 eps x) (+.f64 eps x)))
(/.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) eps)) (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) eps))) (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (+.f64 eps x) x))) (-.f64 (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) eps)) (*.f64 (+.f64 eps x) x)))
(/.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) x)) (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) x))) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) eps))) (-.f64 (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) x)) (*.f64 (+.f64 eps x) eps)))
(/.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))) (fma.f64 (neg.f64 x) x (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (fma.f64 (neg.f64 x) x (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 x x)) (fma.f64 (neg.f64 x) x (*.f64 x x))) (*.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))) (-.f64 (fma.f64 (neg.f64 x) x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))))
(/.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 x) x (fma.f64 (+.f64 eps x) x (*.f64 eps x))) (fma.f64 (neg.f64 x) x (fma.f64 (+.f64 eps x) x (*.f64 eps x)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (-.f64 (fma.f64 (neg.f64 x) x (fma.f64 (+.f64 eps x) x (*.f64 eps x))) (*.f64 eps eps)))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 eps x) (+.f64 eps x)) (*.f64 (-.f64 eps x) (+.f64 eps x))) (*.f64 (fma.f64 (+.f64 eps x) x (*.f64 eps x)) (fma.f64 (+.f64 eps x) x (*.f64 eps x)))) (-.f64 (*.f64 (-.f64 eps x) (+.f64 eps x)) (fma.f64 (+.f64 eps x) x (*.f64 eps x))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) eps)) (*.f64 (-.f64 (*.f64 (+.f64 eps x) x) (*.f64 x x)) (-.f64 (*.f64 (+.f64 eps x) x) (*.f64 x x)))) (-.f64 (*.f64 (+.f64 eps x) eps) (-.f64 (*.f64 (+.f64 eps x) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (+.f64 eps x) x)) (*.f64 (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x x)) (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x x)))) (-.f64 (*.f64 (+.f64 eps x) x) (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 (*.f64 (-.f64 x x) (+.f64 x x)) (*.f64 (-.f64 x x) (+.f64 x x)))) (*.f64 (-.f64 eps (-.f64 x x)) (fma.f64 #s(literal 2 binary64) x eps)))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (-.f64 (fma.f64 (+.f64 eps x) x (*.f64 eps x)) (*.f64 x x)) (-.f64 (fma.f64 (+.f64 eps x) x (*.f64 eps x)) (*.f64 x x)))) (-.f64 (*.f64 eps eps) (-.f64 (fma.f64 (+.f64 eps x) x (*.f64 eps x)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps)) (*.f64 (fma.f64 x x (*.f64 (-.f64 eps x) (+.f64 eps x))) (fma.f64 x x (*.f64 (-.f64 eps x) (+.f64 eps x))))) (-.f64 (*.f64 (+.f64 x x) eps) (fma.f64 x x (*.f64 (-.f64 eps x) (+.f64 eps x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 (+.f64 x x) eps (*.f64 (-.f64 eps x) (+.f64 eps x))) (fma.f64 (+.f64 x x) eps (*.f64 (-.f64 eps x) (+.f64 eps x))))) (-.f64 (*.f64 x x) (fma.f64 (+.f64 x x) eps (*.f64 (-.f64 eps x) (+.f64 eps x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 x x)) (-.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 x x)))) (-.f64 (*.f64 x x) (-.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 x) x (fma.f64 (+.f64 eps x) x (*.f64 eps x))) (fma.f64 (neg.f64 x) x (fma.f64 (+.f64 eps x) x (*.f64 eps x)))) (*.f64 (*.f64 (neg.f64 eps) eps) (*.f64 (neg.f64 eps) eps))) (+.f64 (fma.f64 (neg.f64 x) x (fma.f64 (+.f64 eps x) x (*.f64 eps x))) (*.f64 (neg.f64 eps) eps)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (-.f64 (neg.f64 x) eps) (+.f64 eps x)) (*.f64 (-.f64 (neg.f64 x) eps) (+.f64 eps x)))) (+.f64 (*.f64 (neg.f64 x) x) (*.f64 (-.f64 (neg.f64 x) eps) (+.f64 eps x))))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (fma.f64 (-.f64 x x) (+.f64 x x) (*.f64 #s(literal -2 binary64) (*.f64 eps x))) (fma.f64 (-.f64 x x) (+.f64 x x) (*.f64 #s(literal -2 binary64) (*.f64 eps x))))) (+.f64 (*.f64 eps eps) (fma.f64 (-.f64 x x) (+.f64 x x) (*.f64 #s(literal -2 binary64) (*.f64 eps x)))))
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(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (*.f64 eps eps) (*.f64 (neg.f64 eps) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 eps eps) (*.f64 eps x))))
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(-.f64 eps (neg.f64 (neg.f64 (neg.f64 x))))
(-.f64 eps (neg.f64 x))
(-.f64 x (neg.f64 eps))
(+.f64 eps (neg.f64 (neg.f64 x)))
(+.f64 eps x)
(+.f64 x eps)
x
eps
#s(literal 2 binary64)
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
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(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
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(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
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(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
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(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
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eval57.0ms (3.1%)

Memory
2.2MiB live, 98.9MiB allocated; 15ms collecting garbage
Compiler

Compiled 11 806 to 1 555 computations (86.8% saved)

prune10.0ms (0.6%)

Memory
-20.2MiB live, 25.6MiB allocated; 4ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New5144518
Fresh000
Picked101
Done000
Total5154519
Accuracy
100.0%
Counts
519 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.4%
(fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 (neg.f64 x) x))
78.8%
(-.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 x x))
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
61.4%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
Compiler

Compiled 54 to 35 computations (35.2% saved)

sample0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
2
Outputs
#s(literal 2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series19.0ms (1.0%)

Memory
-7.5MiB live, 37.8MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0140630
Stop Event
iter-limit
Counts
17 → 37
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)
(-.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 x x))
(*.f64 (+.f64 eps x) (+.f64 eps x))
(+.f64 eps x)
(*.f64 x x)
(fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
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 (* (+ eps x) (+ eps x)) (fma.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) eps)) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* (neg x) x) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (neg x) (*.f64 #s(literal -1 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 (* (+ eps x) (+ eps x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 eps x)))))
#s(approx (* (+ eps x) (+ eps x)) (*.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 (+ eps x) (*.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 (+ 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) (+ eps x)) (*.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 (+ eps x) (*.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 (* (+ eps x) (+ eps x)) (fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (+ eps x) (+ eps x)) (fma.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (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 (+ eps (* 2 x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (* (+ eps x) (+ eps x)) (*.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 (+ eps x) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 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 (+ 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) (+ eps x)) (*.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 (+ eps x) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (*.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 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) eps))) eps)))))
Calls

6 calls:

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

rewrite161.0ms (8.7%)

Memory
34.4MiB live, 315.3MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02199
03493
119593
274793
3312993
0428086
Stop Event
iter-limit
node-limit
iter-limit
Counts
17 → 921
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)
(-.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 x x))
(*.f64 (+.f64 eps x) (+.f64 eps x))
(+.f64 eps x)
(*.f64 x x)
(fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 eps) x) (*.f64 eps x))) (*.f64 eps x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps x) (*.f64 eps x))) (*.f64 eps x))
(*.f64 (+.f64 eps eps) x)
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 eps eps) x))
(*.f64 (+.f64 x x) eps)
(*.f64 (*.f64 (+.f64 eps eps) x) #s(literal 1 binary64))
(*.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 (-.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 eps) x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 eps x) (*.f64 eps x) (fma.f64 (*.f64 (*.f64 (neg.f64 eps) x) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 eps) x) #s(literal 1 binary64)) (*.f64 (*.f64 eps x) (*.f64 (*.f64 (neg.f64 eps) x) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) #s(literal 3 binary64))) (fma.f64 (*.f64 eps x) (*.f64 eps x) (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) (*.f64 #s(literal -1 binary64) (*.f64 eps x)) (*.f64 (*.f64 eps x) (*.f64 #s(literal -1 binary64) (*.f64 eps x))))))
(/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (*.f64 (neg.f64 eps) x) (*.f64 (neg.f64 eps) x))) (+.f64 (*.f64 eps x) (*.f64 (neg.f64 eps) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 eps) x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps x) (*.f64 eps x) (fma.f64 (*.f64 (neg.f64 eps) x) (*.f64 (neg.f64 eps) x) (*.f64 (*.f64 eps x) (*.f64 (neg.f64 eps) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (*.f64 eps x) (*.f64 eps x))) (-.f64 (*.f64 eps x) (*.f64 eps x)))
(/.f64 (+.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps x) (*.f64 eps x) (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (*.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 (*.f64 eps x))
(fma.f64 #s(literal 1 binary64) (*.f64 eps x) (*.f64 eps x))
(fma.f64 (*.f64 eps x) #s(literal 1 binary64) (*.f64 eps x))
(fma.f64 eps x (*.f64 eps x))
(fma.f64 x (*.f64 eps #s(literal 1 binary64)) (*.f64 eps x))
(fma.f64 x eps (*.f64 eps x))
(-.f64 (*.f64 eps x) (*.f64 (*.f64 (neg.f64 eps) x) #s(literal 1 binary64)))
(-.f64 (*.f64 eps x) (*.f64 #s(literal -1 binary64) (*.f64 eps x)))
(-.f64 (*.f64 eps x) (*.f64 (neg.f64 eps) x))
(+.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)
(neg.f64 (*.f64 (neg.f64 eps) x))
eps
x
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps eps) (*.f64 (+.f64 eps eps) x))) (*.f64 (+.f64 eps eps) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) (*.f64 eps eps))) (*.f64 eps eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 eps eps) x) (*.f64 eps eps))) (*.f64 eps 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))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 eps) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) eps) (fma.f64 (*.f64 (neg.f64 eps) x) (*.f64 (neg.f64 eps) x) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (neg.f64 eps) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 eps eps) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 eps) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 eps eps) x) (*.f64 (+.f64 eps eps) x) (fma.f64 (*.f64 (neg.f64 eps) eps) (*.f64 (neg.f64 eps) eps) (*.f64 (*.f64 (+.f64 eps eps) x) (*.f64 (neg.f64 eps) eps)))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 (neg.f64 eps) x) (*.f64 eps eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 eps x) (*.f64 eps x) (fma.f64 (-.f64 (*.f64 (neg.f64 eps) x) (*.f64 eps eps)) (-.f64 (*.f64 (neg.f64 eps) x) (*.f64 eps eps)) (*.f64 (*.f64 eps x) (-.f64 (*.f64 (neg.f64 eps) x) (*.f64 eps eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 eps eps) x) (*.f64 (+.f64 eps eps) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (-.f64 (*.f64 (+.f64 eps eps) x) (*.f64 eps eps)))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) (*.f64 #s(literal -2 binary64) (*.f64 eps x)))) (fma.f64 eps eps (*.f64 #s(literal -2 binary64) (*.f64 eps x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps eps) x) #s(literal 3 binary64)) (pow.f64 (*.f64 eps eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 eps eps) x) (*.f64 (+.f64 eps eps) x) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (+.f64 eps eps) x) (*.f64 eps eps)))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps eps) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) #s(literal 3 binary64))) (fma.f64 (*.f64 eps eps) (*.f64 eps eps) (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) (*.f64 #s(literal -2 binary64) (*.f64 eps x)) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -2 binary64) (*.f64 eps x))))))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (+.f64 eps eps) x) (*.f64 (+.f64 eps eps) x))) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 eps eps) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 eps eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 eps eps) x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps eps) (*.f64 eps eps) (-.f64 (*.f64 (*.f64 (+.f64 eps eps) x) (*.f64 (+.f64 eps eps) x)) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 eps eps) x)))))
(neg.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) x) eps)))
(neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps) eps))
(neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) (*.f64 eps eps)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (neg.f64 (neg.f64 (fabs.f64 eps))) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 eps) x)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (neg.f64 (neg.f64 (fabs.f64 eps))) (*.f64 (+.f64 eps eps) x))
(fma.f64 (*.f64 #s(literal 1 binary64) eps) x (*.f64 (+.f64 eps x) eps))
(fma.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 eps) x)))
(fma.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)) (*.f64 (+.f64 eps eps) x))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 eps) x)))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (*.f64 (+.f64 eps eps) x))
(fma.f64 (+.f64 eps eps) x (*.f64 eps eps))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 eps) x)))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 (+.f64 eps eps) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 eps eps) x) (*.f64 eps eps))
(fma.f64 #s(literal 1 binary64) (*.f64 eps x) (*.f64 (+.f64 eps x) eps))
(fma.f64 (+.f64 eps x) eps (*.f64 eps x))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(fma.f64 (*.f64 (+.f64 eps eps) x) #s(literal 1 binary64) (*.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 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 #s(literal -2 binary64) (*.f64 (neg.f64 eps) x)))
(fma.f64 eps eps (*.f64 (+.f64 eps eps) x))
(fma.f64 eps x (*.f64 (+.f64 eps x) eps))
(fma.f64 x (*.f64 eps #s(literal 1 binary64)) (*.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 eps) (*.f64 #s(literal -2 binary64) (*.f64 eps x)))
(-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (neg.f64 eps) x))
(-.f64 (*.f64 (+.f64 eps eps) x) (*.f64 (neg.f64 eps) eps))
(-.f64 (*.f64 eps x) (-.f64 (*.f64 (neg.f64 eps) x) (*.f64 eps eps)))
(+.f64 (*.f64 eps eps) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 eps) x)))
(+.f64 (*.f64 eps eps) (*.f64 (+.f64 eps eps) x))
(+.f64 (*.f64 (+.f64 eps x) eps) (*.f64 eps x))
(+.f64 (*.f64 (+.f64 eps eps) x) (*.f64 eps eps))
(+.f64 (*.f64 eps x) (*.f64 (+.f64 eps x) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps x) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (+.f64 eps x))) (+.f64 eps x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) (+.f64 x x))) (+.f64 x x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 x) eps) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 eps x))) (+.f64 eps x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps (+.f64 x x))) (+.f64 x x))
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(fma.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (neg.f64 (fabs.f64 (+.f64 eps x)))) (fabs.f64 (+.f64 eps x))))
(fma.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x)) (*.f64 (+.f64 eps x) (+.f64 eps x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (fma.f64 (+.f64 eps eps) x (*.f64 (-.f64 eps x) (+.f64 eps x))))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 (neg.f64 x) x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (*.f64 x x)))
(fma.f64 (-.f64 (neg.f64 x) eps) (neg.f64 (-.f64 eps x)) (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x))
(fma.f64 (-.f64 (neg.f64 x) eps) (-.f64 (neg.f64 x) eps) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 (+.f64 eps eps) x (*.f64 (-.f64 eps x) (+.f64 eps x))))
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 (neg.f64 x) x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (*.f64 x x)))
(fma.f64 (neg.f64 x) x (*.f64 (neg.f64 (neg.f64 (fabs.f64 (+.f64 eps x)))) (fabs.f64 (+.f64 eps x))))
(fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) (+.f64 eps x)))
(fma.f64 (+.f64 eps x) (-.f64 eps x) (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x))
(fma.f64 (+.f64 eps x) (-.f64 eps #s(literal 0 binary64)) (*.f64 x (-.f64 eps #s(literal 0 binary64))))
(fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 (neg.f64 x) x))
(fma.f64 (+.f64 eps x) (fma.f64 #s(literal 2 binary64) x eps) (*.f64 (neg.f64 x) (fma.f64 #s(literal 2 binary64) x eps)))
(fma.f64 (+.f64 eps x) eps (*.f64 x (-.f64 eps #s(literal 0 binary64))))
(fma.f64 (+.f64 eps x) x (fma.f64 eps x (*.f64 (-.f64 eps x) (+.f64 eps x))))
(fma.f64 (+.f64 eps x) x (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x x)))
(fma.f64 (+.f64 eps x) x (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) eps)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 eps x) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (neg.f64 x)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (fma.f64 x x (*.f64 (neg.f64 x) x)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (-.f64 (*.f64 x x) (*.f64 x x)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 eps x)))
(fma.f64 (+.f64 x x) (-.f64 eps #s(literal 0 binary64)) (*.f64 eps (-.f64 eps #s(literal 0 binary64))))
(fma.f64 (+.f64 x x) eps (fma.f64 x x (*.f64 (-.f64 eps x) (+.f64 eps x))))
(fma.f64 (*.f64 (+.f64 eps eps) x) #s(literal 1 binary64) (fma.f64 x x (*.f64 (-.f64 eps x) (+.f64 eps x))))
(fma.f64 (*.f64 eps x) #s(literal 1 binary64) (fma.f64 eps eps (*.f64 x (-.f64 eps #s(literal 0 binary64)))))
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (fma.f64 x x (*.f64 (-.f64 eps x) (+.f64 eps x))))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (fma.f64 x x (*.f64 (-.f64 eps x) (+.f64 eps x))))
(fma.f64 eps (-.f64 eps #s(literal 0 binary64)) (*.f64 (+.f64 x x) (-.f64 eps #s(literal 0 binary64))))
(fma.f64 eps (+.f64 eps x) (*.f64 x (-.f64 eps #s(literal 0 binary64))))
(fma.f64 eps (fma.f64 #s(literal 2 binary64) x eps) (fma.f64 x x (*.f64 (neg.f64 x) x)))
(fma.f64 eps (fma.f64 #s(literal 2 binary64) x eps) (-.f64 (*.f64 x x) (*.f64 x x)))
(fma.f64 eps (fma.f64 #s(literal 2 binary64) x eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 0 binary64)))
(fma.f64 eps (fma.f64 #s(literal 2 binary64) x eps) (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(fma.f64 eps (+.f64 x x) (fma.f64 x x (*.f64 (-.f64 eps x) (+.f64 eps x))))
(fma.f64 eps eps (fma.f64 eps x (*.f64 x (-.f64 eps #s(literal 0 binary64)))))
(fma.f64 eps eps (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (*.f64 x x)))
(fma.f64 eps eps (fma.f64 x (-.f64 eps #s(literal 0 binary64)) (*.f64 eps x)))
(fma.f64 eps x (fma.f64 eps eps (*.f64 x (-.f64 eps #s(literal 0 binary64)))))
(fma.f64 x (*.f64 eps #s(literal 1 binary64)) (fma.f64 eps eps (*.f64 x (-.f64 eps #s(literal 0 binary64)))))
(fma.f64 x (+.f64 (neg.f64 x) (fma.f64 #s(literal 2 binary64) eps x)) (*.f64 eps eps))
(fma.f64 x (fma.f64 #s(literal 2 binary64) eps x) (*.f64 (-.f64 eps x) (+.f64 eps x)))
(fma.f64 x (+.f64 eps eps) (fma.f64 x x (*.f64 (-.f64 eps x) (+.f64 eps x))))
(fma.f64 x (-.f64 eps #s(literal 0 binary64)) (*.f64 (+.f64 eps x) (-.f64 eps #s(literal 0 binary64))))
(fma.f64 x (-.f64 eps #s(literal 0 binary64)) (*.f64 (+.f64 eps x) eps))
(fma.f64 x (neg.f64 x) (*.f64 (neg.f64 (neg.f64 (fabs.f64 (+.f64 eps x)))) (fabs.f64 (+.f64 eps x))))
(fma.f64 x (neg.f64 x) (*.f64 (+.f64 eps x) (+.f64 eps x)))
(fma.f64 x (+.f64 eps x) (fma.f64 eps x (*.f64 (-.f64 eps x) (+.f64 eps x))))
(fma.f64 x (+.f64 eps x) (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x x)))
(fma.f64 x (+.f64 eps x) (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) eps)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) x eps) (*.f64 (-.f64 eps x) (fma.f64 #s(literal 2 binary64) x eps)))
(fma.f64 x eps (fma.f64 eps eps (*.f64 x (-.f64 eps #s(literal 0 binary64)))))
(fma.f64 x x (fma.f64 (+.f64 eps eps) x (*.f64 (-.f64 eps x) (+.f64 eps x))))
(fma.f64 x x (fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 (neg.f64 x) x)))
(fma.f64 x x (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (*.f64 x x)))
(-.f64 (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) eps)) (*.f64 (-.f64 (neg.f64 x) eps) x))
(-.f64 (fma.f64 x (-.f64 eps #s(literal 0 binary64)) (*.f64 eps x)) (*.f64 (neg.f64 eps) eps))
(-.f64 (*.f64 eps eps) (*.f64 x (-.f64 x (fma.f64 #s(literal 2 binary64) eps x))))
(-.f64 (*.f64 (+.f64 eps x) x) (-.f64 (*.f64 x x) (*.f64 (+.f64 eps x) eps)))
(-.f64 (*.f64 (+.f64 eps x) eps) (-.f64 (*.f64 (-.f64 (neg.f64 x) eps) x) (*.f64 (neg.f64 x) x)))
(-.f64 (*.f64 (+.f64 eps x) eps) (fma.f64 (-.f64 (neg.f64 x) eps) x (*.f64 x x)))
(-.f64 (*.f64 (+.f64 eps x) eps) (neg.f64 (*.f64 x (-.f64 eps #s(literal 0 binary64)))))
(-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (-.f64 (*.f64 (neg.f64 eps) eps) (*.f64 (neg.f64 x) x)))
(-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (fma.f64 (neg.f64 eps) eps (*.f64 x x)))
(-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (neg.f64 (*.f64 (-.f64 eps x) (+.f64 eps x))))
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (-.f64 (neg.f64 x) eps) (+.f64 eps x)))
(-.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) (*.f64 (-.f64 eps x) (+.f64 eps x))))
(-.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 x x))
(+.f64 (+.f64 (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) eps)) (*.f64 x x)) (*.f64 eps x))
(+.f64 (+.f64 (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) eps)) (*.f64 eps x)) (*.f64 x x))
(+.f64 (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) (*.f64 x x))
(+.f64 (fma.f64 (neg.f64 x) x (*.f64 x x)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(+.f64 (*.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 x x)) (*.f64 (-.f64 eps #s(literal 0 binary64)) eps))
(+.f64 (*.f64 (-.f64 eps #s(literal 0 binary64)) eps) (*.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 x x)))
(+.f64 (*.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 eps x)) (*.f64 (-.f64 eps #s(literal 0 binary64)) x))
(+.f64 (*.f64 (-.f64 eps #s(literal 0 binary64)) x) (*.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 eps x)))
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 eps x)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (neg.f64 x)))
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) x) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 eps x)))
(+.f64 (*.f64 (+.f64 x x) (-.f64 eps #s(literal 0 binary64))) (*.f64 eps (-.f64 eps #s(literal 0 binary64))))
(+.f64 (*.f64 eps (-.f64 eps #s(literal 0 binary64))) (*.f64 (+.f64 x x) (-.f64 eps #s(literal 0 binary64))))
(+.f64 (*.f64 (+.f64 eps x) (-.f64 eps #s(literal 0 binary64))) (*.f64 x (-.f64 eps #s(literal 0 binary64))))
(+.f64 (*.f64 (+.f64 eps x) (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 (neg.f64 x) (fma.f64 #s(literal 2 binary64) x eps)))
(+.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 (-.f64 eps x) (fma.f64 #s(literal 2 binary64) x eps)))
(+.f64 (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) eps)) (*.f64 (+.f64 eps x) x))
(+.f64 (fma.f64 x (-.f64 eps #s(literal 0 binary64)) (*.f64 eps x)) (*.f64 eps eps))
(+.f64 (*.f64 x (-.f64 eps #s(literal 0 binary64))) (*.f64 (+.f64 eps x) (-.f64 eps #s(literal 0 binary64))))
(+.f64 (*.f64 x (-.f64 eps #s(literal 0 binary64))) (*.f64 (+.f64 eps x) eps))
(+.f64 (*.f64 (-.f64 eps x) (+.f64 eps x)) (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x))
(+.f64 (*.f64 eps eps) (fma.f64 eps x (*.f64 x (-.f64 eps #s(literal 0 binary64)))))
(+.f64 (*.f64 eps eps) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (*.f64 x x)))
(+.f64 (*.f64 eps eps) (fma.f64 x (-.f64 eps #s(literal 0 binary64)) (*.f64 eps x)))
(+.f64 (*.f64 (+.f64 eps x) x) (fma.f64 eps x (*.f64 (-.f64 eps x) (+.f64 eps x))))
(+.f64 (*.f64 (+.f64 eps x) x) (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x x)))
(+.f64 (*.f64 (+.f64 eps x) x) (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) eps)))
(+.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x (-.f64 eps #s(literal 0 binary64))))
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (*.f64 (-.f64 eps x) (+.f64 eps x)))
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (neg.f64 (fabs.f64 (+.f64 eps x)))) (fabs.f64 (+.f64 eps x))))
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 (+.f64 eps x) (+.f64 eps x)))
(+.f64 (*.f64 x x) (fma.f64 (+.f64 eps eps) x (*.f64 (-.f64 eps x) (+.f64 eps x))))
(+.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 (neg.f64 x) x)))
(+.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (*.f64 x x)))
(+.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 (neg.f64 x) x))
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (fma.f64 x x (*.f64 (neg.f64 x) x)))
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (-.f64 (*.f64 x x) (*.f64 x x)))
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 0 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(+.f64 (*.f64 (+.f64 eps eps) x) (fma.f64 x x (*.f64 (-.f64 eps x) (+.f64 eps x))))
(+.f64 (*.f64 eps x) (fma.f64 eps eps (*.f64 x (-.f64 eps #s(literal 0 binary64)))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x))
(*.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) x)
(*.f64 x (neg.f64 x))
(neg.f64 (*.f64 x x))
(neg.f64 x)

eval89.0ms (4.8%)

Memory
-12.2MiB live, 227.9MiB allocated; 39ms collecting garbage
Compiler

Compiled 15 256 to 2 112 computations (86.2% saved)

prune15.0ms (0.8%)

Memory
0.1MiB live, 46.5MiB allocated; 4ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New7295734
Fresh000
Picked404
Done000
Total7335738
Accuracy
100.0%
Counts
738 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (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))
61.4%
#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)))
76.1%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
Compiler

Compiled 170 to 110 computations (35.3% saved)

sample0.0ms (0.0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
2
Outputs
#s(literal 2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series14.0ms (0.8%)

Memory
-13.8MiB live, 32.5MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077267
Stop Event
iter-limit
Counts
19 → 20
Calls
Call 1
Inputs
#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)
x
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)
(+.f64 x x)
#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)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps)))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(*.f64 eps eps)
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 x) eps) eps)
#s(approx (+ (* 2 x) eps) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx x x)
#s(approx (* (+ x x) eps) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ eps x) (+.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 (+ (* 2 x) eps) (*.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 (- (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 (+ (* 2 x) eps) (*.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 (- (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 (+ (* 2 x) eps) (*.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 (+ (* 2 x) eps) (*.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
1.0ms
eps
-inf
1.0ms
x
-inf
1.0ms
x
inf
1.0ms
eps
inf
1.0ms
x
0

rewrite151.0ms (8.2%)

Memory
11.9MiB live, 345.0MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025148
036138
1206138
2634138
32213138
04189138
Stop Event
iter-limit
node-limit
iter-limit
Counts
19 → 452
Calls
Call 1
Inputs
#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)
x
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)
(+.f64 x x)
#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)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps)))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(*.f64 eps eps)
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 eps x) eps) (*.f64 eps x))) (*.f64 eps x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) eps) (*.f64 (+.f64 eps x) eps))) (*.f64 (+.f64 eps x) eps))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 eps x) #s(literal -2 binary64)) (*.f64 eps eps))) (*.f64 eps eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps x) (*.f64 (+.f64 eps x) eps))) (*.f64 (+.f64 eps x) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps))) (*.f64 eps eps))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 eps) eps) (*.f64 (+.f64 x x) eps))) (*.f64 (+.f64 x x) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps))) (*.f64 (+.f64 x x) 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))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) eps)) (*.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) (neg.f64 (*.f64 (neg.f64 x) eps)))) (-.f64 (*.f64 (+.f64 eps x) eps) (neg.f64 (*.f64 (neg.f64 x) eps))))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) eps)) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) eps)))) (-.f64 (*.f64 eps eps) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) eps))))
(/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (*.f64 (-.f64 (neg.f64 x) eps) eps) (*.f64 (-.f64 (neg.f64 x) eps) eps))) (+.f64 (*.f64 eps x) (*.f64 (-.f64 (neg.f64 x) eps) eps)))
(/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (*.f64 (neg.f64 eps) (+.f64 eps x)) (*.f64 (neg.f64 eps) (+.f64 eps x)))) (+.f64 (*.f64 eps x) (*.f64 (neg.f64 eps) (+.f64 eps x))))
(/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (neg.f64 (*.f64 (+.f64 eps x) eps)) (neg.f64 (*.f64 (+.f64 eps x) eps)))) (+.f64 (*.f64 eps x) (neg.f64 (*.f64 (+.f64 eps x) eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) eps) (-.f64 (*.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) (neg.f64 (*.f64 (neg.f64 x) eps))) (*.f64 (*.f64 (+.f64 eps x) eps) (neg.f64 (*.f64 (neg.f64 x) eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps eps) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 eps eps) (*.f64 eps eps) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) eps)) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) eps))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) eps))))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (neg.f64 x) eps) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 eps x) (*.f64 eps x) (fma.f64 (*.f64 (-.f64 (neg.f64 x) eps) eps) (*.f64 (-.f64 (neg.f64 x) eps) eps) (*.f64 (*.f64 eps x) (*.f64 (-.f64 (neg.f64 x) eps) eps)))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 eps) (+.f64 eps x)) #s(literal 3 binary64))) (fma.f64 (*.f64 eps x) (*.f64 eps x) (fma.f64 (*.f64 (neg.f64 eps) (+.f64 eps x)) (*.f64 (neg.f64 eps) (+.f64 eps x)) (*.f64 (*.f64 eps x) (*.f64 (neg.f64 eps) (+.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (+.f64 eps x) eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 eps x) (*.f64 eps x) (fma.f64 (neg.f64 (*.f64 (+.f64 eps x) eps)) (neg.f64 (*.f64 (+.f64 eps x) eps)) (*.f64 (*.f64 eps x) (neg.f64 (*.f64 (+.f64 eps x) eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) eps))) (-.f64 (*.f64 eps x) (*.f64 (+.f64 eps x) eps)))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) eps)) (*.f64 (*.f64 (neg.f64 x) eps) (*.f64 (neg.f64 x) eps))) (+.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (neg.f64 x) eps)))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 eps x) #s(literal -2 binary64)) (*.f64 (*.f64 eps x) #s(literal -2 binary64)))) (fma.f64 eps eps (*.f64 (*.f64 eps x) #s(literal -2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 eps x) (*.f64 eps x) (-.f64 (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) eps)) (*.f64 (*.f64 eps x) (*.f64 (+.f64 eps x) eps)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) eps) (fma.f64 (*.f64 (neg.f64 x) eps) (*.f64 (neg.f64 x) eps) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (neg.f64 x) eps)))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps x) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 eps eps) (*.f64 eps eps) (fma.f64 (*.f64 (*.f64 eps x) #s(literal -2 binary64)) (*.f64 (*.f64 eps x) #s(literal -2 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal -2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) eps)) (*.f64 (*.f64 eps x) (*.f64 eps x))) (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 eps x)))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps))) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps)))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) eps) (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 eps x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 x x) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 eps eps) (*.f64 eps eps) (-.f64 (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps)) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 eps) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps) (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 (neg.f64 eps) eps)))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (+.f64 (*.f64 (+.f64 x x) eps) (*.f64 (neg.f64 eps) eps)))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (-.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps)))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 eps eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps)))))
(neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps) eps))
(neg.f64 (-.f64 (*.f64 (neg.f64 x) eps) (*.f64 (+.f64 eps x) eps)))
(neg.f64 (-.f64 (*.f64 (*.f64 eps x) #s(literal -2 binary64)) (*.f64 eps eps)))
(neg.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) x) eps)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 eps)))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 eps)))) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) eps)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 eps)))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 eps)))) (*.f64 (+.f64 x x) eps))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (neg.f64 (neg.f64 (fabs.f64 eps))) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) eps)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (neg.f64 (neg.f64 (fabs.f64 eps))) (*.f64 (+.f64 x x) eps))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (fabs.f64 eps) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) eps)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (fabs.f64 eps) (*.f64 (+.f64 x x) eps))
(fma.f64 (+.f64 eps eps) x (*.f64 eps eps))
(fma.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) eps)))
(fma.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)) (*.f64 (+.f64 x x) eps))
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 eps eps))
(fma.f64 (fabs.f64 eps) (neg.f64 (neg.f64 (fabs.f64 eps))) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) eps)))
(fma.f64 (fabs.f64 eps) (neg.f64 (neg.f64 (fabs.f64 eps))) (*.f64 (+.f64 x x) eps))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) eps)))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (*.f64 (+.f64 x x) eps))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) eps)))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 (+.f64 x x) eps))
(fma.f64 (+.f64 eps x) eps (neg.f64 (*.f64 (neg.f64 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 eps x)) (*.f64 eps eps))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps (+.f64 eps x) (neg.f64 (*.f64 (neg.f64 x) eps)))
(fma.f64 eps (+.f64 eps x) (*.f64 eps x))
(fma.f64 eps (+.f64 x x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) 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 eps x) (*.f64 (neg.f64 eps) (+.f64 eps x)))
(-.f64 (*.f64 eps x) (neg.f64 (*.f64 (+.f64 eps x) eps)))
(-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (neg.f64 x) eps))
(-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal -2 binary64)))
(-.f64 (*.f64 (+.f64 x x) eps) (*.f64 (neg.f64 eps) eps))
(+.f64 (*.f64 eps x) (*.f64 (+.f64 eps x) eps))
(+.f64 (*.f64 (+.f64 eps x) eps) (neg.f64 (*.f64 (neg.f64 x) eps)))
(+.f64 (*.f64 (+.f64 eps x) eps) (*.f64 eps x))
(+.f64 (*.f64 eps eps) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) eps)))
(+.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps))
(+.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 x) eps) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps x) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (+.f64 eps x))) (+.f64 eps x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) (+.f64 x x))) (+.f64 x x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) x) eps)) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) eps)) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps (+.f64 x x))) (+.f64 x x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 eps x))) (+.f64 eps x))
(/.f64 (*.f64 (-.f64 (-.f64 x eps) x) (fma.f64 #s(literal 2 binary64) x eps)) (-.f64 (-.f64 x eps) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (neg.f64 x) eps) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 x (-.f64 (neg.f64 x) eps)))))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x))) (+.f64 eps (*.f64 #s(literal -2 binary64) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 eps x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 (+.f64 eps x) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (+.f64 (*.f64 x x) (*.f64 (+.f64 eps x) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x x) #s(literal 3 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 x x) (+.f64 x x) (fma.f64 eps eps (*.f64 (*.f64 eps x) #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 eps x) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) (+.f64 x x))) (-.f64 eps (+.f64 x x)))
(/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 eps eps)) (+.f64 (+.f64 x x) (neg.f64 eps)))
(/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 eps eps)) (-.f64 (+.f64 x x) eps))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 x x) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 (+.f64 x x) eps))))
(/.f64 (+.f64 (pow.f64 (+.f64 x x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (+.f64 x x) (+.f64 x x) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps))))
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (-.f64 (*.f64 x x) (*.f64 (+.f64 eps x) x))))
(/.f64 (*.f64 (-.f64 (+.f64 eps x) x) (fma.f64 #s(literal 2 binary64) x eps)) (-.f64 (+.f64 eps x) x))
(neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) eps)) eps x)
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) x)) x x)
(fma.f64 #s(literal -2 binary64) (neg.f64 x) eps)
(fma.f64 (neg.f64 x) #s(literal -2 binary64) eps)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps x)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x)
(fma.f64 #s(literal 1 binary64) (+.f64 x x) eps)
(fma.f64 (+.f64 x x) #s(literal 1 binary64) 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)
x
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))
#s(approx (+ eps (* 2 x)) eps)
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(+.f64 (*.f64 (+.f64 eps x) eps) (*.f64 eps x))
(+.f64 (*.f64 eps eps) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) eps)))
(+.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps))
(+.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps))
(*.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 eps)))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 eps)))))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 eps)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 eps)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 eps)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 eps)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 eps) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 eps) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 eps) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 eps) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (neg.f64 (neg.f64 (fabs.f64 eps))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (fabs.f64 eps))
(*.f64 (pow.f64 (fabs.f64 eps) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 eps) #s(literal 1 binary64)) (pow.f64 (fabs.f64 eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 eps) #s(literal 1 binary64)) (fabs.f64 eps))
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 1 binary64)) (pow.f64 (neg.f64 eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 1 binary64)) (neg.f64 eps))
(*.f64 (pow.f64 eps (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 eps (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)))
(*.f64 (pow.f64 eps #s(literal 1 binary64)) (pow.f64 eps #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 1 binary64)) eps)
(*.f64 (fabs.f64 eps) (neg.f64 (neg.f64 (fabs.f64 eps))))
(*.f64 (fabs.f64 eps) (fabs.f64 eps))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 (*.f64 eps eps) (pow.f64 (*.f64 eps eps) #s(literal 0 binary64)))
(*.f64 eps eps)
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 eps)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 1/2 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 (pow.f64 (neg.f64 (fabs.f64 eps)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 eps)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (fabs.f64 eps) #s(literal 1 binary64)) (pow.f64 (fabs.f64 eps) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 eps) #s(literal 1 binary64)) (pow.f64 (neg.f64 eps) #s(literal -1 binary64)))
(/.f64 (pow.f64 eps #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fabs.f64 eps)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 eps eps) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 eps) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 eps) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64)))
(neg.f64 (*.f64 (neg.f64 eps) eps))
(sqrt.f64 (*.f64 (*.f64 eps eps) (*.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))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 eps))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 eps eps)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 eps)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 eps)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))

eval42.0ms (2.3%)

Memory
-7.4MiB live, 83.9MiB allocated; 14ms collecting garbage
Compiler

Compiled 7 040 to 1 091 computations (84.5% saved)

prune5.0ms (0.3%)

Memory
15.9MiB live, 15.9MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New2790279
Fresh000
Picked055
Done000
Total2795284
Accuracy
100.0%
Counts
284 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (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))
61.4%
#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)))
76.1%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
Compiler

Compiled 85 to 55 computations (35.3% saved)

regimes26.0ms (1.4%)

Memory
32.1MiB live, 76.0MiB allocated; 6ms collecting garbage
Counts
1 → 1
3 → 2
10 → 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))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps)))
(-.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 x x))
(fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 (neg.f64 x) x))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
Calls

9 calls:

6.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
4.0ms
x
4.0ms
eps
2.0ms
eps
2.0ms
x
Results
AccuracySegmentsBranch
76.1%1eps
76.1%1x
76.1%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
97.4%2(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
94.1%3x
88.7%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
Compiler

Compiled 181 to 76 computations (58.0% saved)

bsearch0.0ms (0.0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
5.8555270308e-313
Compiler

Compiled 20 to 16 computations (20.0% saved)

derivations74.0ms (4.0%)

Memory
-18.6MiB live, 65.8MiB allocated; 26ms collecting garbage
Stop Event
done
Compiler

Compiled 81 to 26 computations (67.9% saved)

preprocess19.0ms (1.0%)

Memory
30.5MiB live, 30.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 90 to 33 computations (63.3% saved)

end0.0ms (0.0%)

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

Profiling

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