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

Time bar (total: 3.1s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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)

sample1.3s (42.8%)

Memory
37.5MiB live, 1 520.2MiB allocated; 334ms collecting garbage
Samples
497.0ms2 566×1valid
353.0ms5 064×0valid
161.0ms626×2valid
Precisions
Click to see histograms. Total time spent on operations: 657.0ms
ival-pow2: 492.0ms (74.9% of total)
adjust: 75.0ms (11.4% of total)
ival-add!: 58.0ms (8.8% of total)
ival-sub!: 32.0ms (4.9% of total)
Bogosity

preprocess112.0ms (3.6%)

Memory
-5.5MiB live, 39.5MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02262
17454
233854
3166342
4577642
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.0%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Compiler

Compiled 16 to 14 computations (12.5% saved)

series12.0ms (0.4%)

Memory
27.8MiB live, 27.8MiB 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:

TimeVariablePointExpression
1.0ms
x
@-inf
((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2))
1.0ms
eps
@-inf
((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2))
1.0ms
x
@inf
((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2))
1.0ms
x
@0
((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2))
1.0ms
eps
@inf
((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2))

rewrite328.0ms (10.5%)

Memory
26.7MiB live, 584.8MiB allocated; 76ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01123
16923
224823
3118123
4510523
0931121
Stop Event
iter-limit
node-limit
iter-limit
Counts
7 → 1 424
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 (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 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 eps x) x) (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x x)))) (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 eps x) eps) (fma.f64 eps x #s(literal 0 binary64)))) (fma.f64 eps x #s(literal 0 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (*.f64 x x)))) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #s(literal 0 binary64))) #s(literal 0 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps eps) (fma.f64 (+.f64 eps eps) x #s(literal 0 binary64)))) (fma.f64 (+.f64 eps eps) x #s(literal 0 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) eps x)) (*.f64 (-.f64 eps x) (+.f64 eps x)))) (*.f64 (-.f64 eps x) (+.f64 eps x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps x #s(literal 0 binary64)) (*.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 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 eps eps) x #s(literal 0 binary64)) (*.f64 eps eps))) (*.f64 eps eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 eps eps)) (*.f64 (+.f64 eps eps) x))) (*.f64 (+.f64 eps eps) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (*.f64 x x)) (*.f64 x x))) (*.f64 x x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 eps) eps) (fma.f64 (+.f64 eps eps) x #s(literal 0 binary64)))) (fma.f64 (+.f64 eps eps) x #s(literal 0 binary64)))
(*.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 #s(literal -2 binary64) (*.f64 eps x) #s(literal 0 binary64)) (*.f64 eps eps))) (*.f64 eps eps))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (*.f64 x (fma.f64 #s(literal 2 binary64) eps x)))) (*.f64 x (fma.f64 #s(literal 2 binary64) eps x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) x) eps) (*.f64 x 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)) 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 (fabs.f64 (+.f64 eps x)) (fabs.f64 x)) (-.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 x)))
(*.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 #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)) (*.f64 x (fma.f64 #s(literal 2 binary64) eps x)))) (*.f64 x (fma.f64 #s(literal 2 binary64) 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 (+.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 (pow.f64 (+.f64 (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x x)) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (fma.f64 (+.f64 (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x x)) (*.f64 x x)) (+.f64 (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (+.f64 (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x x)) (*.f64 x x)) (*.f64 eps x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 eps #s(literal 0 binary64)) (*.f64 eps eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (fma.f64 (fma.f64 x (-.f64 eps #s(literal 0 binary64)) (*.f64 eps eps)) (fma.f64 x (-.f64 eps #s(literal 0 binary64)) (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (fma.f64 x (-.f64 eps #s(literal 0 binary64)) (*.f64 eps eps)) (*.f64 eps x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 0 binary64) (*.f64 (+.f64 eps x) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 0 binary64) (*.f64 (+.f64 eps x) eps)) (+.f64 #s(literal 0 binary64) (*.f64 (+.f64 eps x) eps)) (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 (+.f64 eps x) eps)) (*.f64 eps x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 eps x) (+.f64 eps x) (*.f64 (+.f64 eps x) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (fma.f64 (fma.f64 (-.f64 eps x) (+.f64 eps x) (*.f64 (+.f64 eps x) x)) (fma.f64 (-.f64 eps x) (+.f64 eps x) (*.f64 (+.f64 eps x) x)) (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (fma.f64 (-.f64 eps x) (+.f64 eps x) (*.f64 (+.f64 eps x) x)) (*.f64 eps x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x (fma.f64 eps eps (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 eps eps) x) #s(literal 3 binary64))) (fma.f64 (fma.f64 (neg.f64 x) x (fma.f64 eps eps (*.f64 x x))) (fma.f64 (neg.f64 x) x (fma.f64 eps eps (*.f64 x x))) (-.f64 (*.f64 (*.f64 (+.f64 eps eps) x) (*.f64 (+.f64 eps eps) x)) (*.f64 (fma.f64 (neg.f64 x) x (fma.f64 eps eps (*.f64 x x))) (*.f64 (+.f64 eps eps) x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps eps) x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 eps eps (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps eps) x)) (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps eps) x)) (-.f64 (*.f64 (fma.f64 eps eps (*.f64 x x)) (fma.f64 eps eps (*.f64 x x))) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps eps) x)) (fma.f64 eps eps (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 eps eps) (*.f64 x (-.f64 x (+.f64 eps eps)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 eps eps) (*.f64 x (-.f64 x (+.f64 eps eps)))) (-.f64 (*.f64 eps eps) (*.f64 x (-.f64 x (+.f64 eps eps)))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 (*.f64 eps eps) (*.f64 x (-.f64 x (+.f64 eps eps)))) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 eps eps) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 eps eps) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 eps eps) #s(literal 0 binary64)) (-.f64 (*.f64 eps eps) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (+.f64 eps eps) x) (*.f64 (+.f64 eps eps) x)) (*.f64 (-.f64 (*.f64 eps eps) #s(literal 0 binary64)) (*.f64 (+.f64 eps eps) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps) (-.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps) (-.f64 x eps)) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps) (-.f64 x eps)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps) (neg.f64 x)) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps) (neg.f64 x))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps) (-.f64 x eps)) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps) (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 eps #s(literal 0 binary64)) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 x x)) (*.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 0 binary64)) eps) (*.f64 (-.f64 eps #s(literal 0 binary64)) eps)) (*.f64 (*.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 x x)) (*.f64 (-.f64 eps #s(literal 0 binary64)) eps)))))
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(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.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 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (*.f64 x x) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (fabs.f64 x) #s(literal 0 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 0 binary64)))
(*.f64 (*.f64 x x) (pow.f64 x #s(literal 0 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 binary64)))
(*.f64 (*.f64 x x) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 x x)
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 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 (*.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 (*.f64 x x) #s(literal 0 binary64)) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 x x) (+.f64 x x)) #s(literal 4 binary64))
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (fabs.f64 x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 x (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 (neg.f64 x) (fabs.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(fabs.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)))
(fabs.f64 (*.f64 x (fabs.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval246.0ms (7.8%)

Memory
-40.5MiB live, 422.8MiB allocated; 189ms collecting garbage
Compiler

Compiled 13 693 to 3 488 computations (74.5% saved)

prune28.0ms (0.9%)

Memory
-20.5MiB live, 76.1MiB allocated; 13ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1 43931 442
Fresh000
Picked101
Done000
Total1 44031 443
Accuracy
100.0%
Counts
1 443 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 eps eps (fma.f64 (+.f64 eps eps) x #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))))
62.6%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
Compiler

Compiled 29 to 29 computations (0% saved)

series16.0ms (0.5%)

Memory
-4.1MiB live, 42.1MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060228
Stop Event
iter-limit
Counts
14 → 17
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 eps eps (fma.f64 (+.f64 eps eps) x #s(literal 0 binary64)))
(fma.f64 (+.f64 eps eps) x #s(literal 0 binary64))
(+.f64 eps eps)
#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 (+ eps eps) (*.f64 #s(literal 2 binary64) eps))
#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:

TimeVariablePointExpression
2.0ms
eps
@0
((- (pow (+ x eps) 2) (pow x 2)) (* 2 (* eps x)) 2 (* eps x) eps x (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ eps (* 2 x))) (+ eps (* 2 x)) (* 2 x) (+ (* eps eps) (+ (* (+ eps eps) x) 0)) (+ (* (+ eps eps) x) 0) (+ eps eps) 0)
2.0ms
x
@-inf
((- (pow (+ x eps) 2) (pow x 2)) (* 2 (* eps x)) 2 (* eps x) eps x (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ eps (* 2 x))) (+ eps (* 2 x)) (* 2 x) (+ (* eps eps) (+ (* (+ eps eps) x) 0)) (+ (* (+ eps eps) x) 0) (+ eps eps) 0)
2.0ms
eps
@-inf
((- (pow (+ x eps) 2) (pow x 2)) (* 2 (* eps x)) 2 (* eps x) eps x (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ eps (* 2 x))) (+ eps (* 2 x)) (* 2 x) (+ (* eps eps) (+ (* (+ eps eps) x) 0)) (+ (* (+ eps eps) x) 0) (+ eps eps) 0)
2.0ms
x
@inf
((- (pow (+ x eps) 2) (pow x 2)) (* 2 (* eps x)) 2 (* eps x) eps x (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ eps (* 2 x))) (+ eps (* 2 x)) (* 2 x) (+ (* eps eps) (+ (* (+ eps eps) x) 0)) (+ (* (+ eps eps) x) 0) (+ eps eps) 0)
1.0ms
eps
@inf
((- (pow (+ x eps) 2) (pow x 2)) (* 2 (* eps x)) 2 (* eps x) eps x (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ eps (* 2 x))) (+ eps (* 2 x)) (* 2 x) (+ (* eps eps) (+ (* (+ eps eps) x) 0)) (+ (* (+ eps eps) x) 0) (+ eps eps) 0)

rewrite311.0ms (9.9%)

Memory
24.5MiB live, 464.5MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01877
02874
118074
263774
3285374
0822570
Stop Event
iter-limit
node-limit
iter-limit
Counts
14 → 1 435
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 eps eps (fma.f64 (+.f64 eps eps) x #s(literal 0 binary64)))
(fma.f64 (+.f64 eps eps) x #s(literal 0 binary64))
(+.f64 eps eps)
#s(literal 0 binary64)
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x))
(*.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) #s(literal 0 binary64))) #s(literal 0 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) eps) (*.f64 eps x))) (*.f64 eps x))
(*.f64 (neg.f64 (neg.f64 x)) (+.f64 eps eps))
(*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) eps) #s(literal -2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 eps eps) x) #s(literal 0 binary64))) #s(literal 0 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps x) (*.f64 eps x))) (*.f64 eps x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 eps eps) x))) (*.f64 (+.f64 eps eps) x))
(*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))
(*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 eps eps) x))) (*.f64 (+.f64 eps eps) x))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 eps eps) x))
(*.f64 (*.f64 (+.f64 eps eps) x) #s(literal 1 binary64))
(*.f64 (+.f64 eps eps) (neg.f64 (neg.f64 x)))
(*.f64 (+.f64 eps eps) x)
(*.f64 (+.f64 x x) eps)
(*.f64 (*.f64 eps x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 x) eps)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 x x))
(*.f64 x (+.f64 eps eps))
(/.f64 (fma.f64 (-.f64 (*.f64 (+.f64 eps eps) x) #s(literal 1 binary64)) (E.f64) (E.f64)) (E.f64))
(/.f64 (fma.f64 (-.f64 (*.f64 (+.f64 eps eps) x) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (-.f64 (*.f64 (+.f64 eps eps) x) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 2 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 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 (+.f64 eps eps) x) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))) #s(literal 8 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (+.f64 eps eps) x) #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 eps eps) x) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (+.f64 eps eps) x) #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 eps eps) x) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (+.f64 eps eps) x) #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 eps eps) x) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (+.f64 eps eps) x) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (+.f64 eps eps) x) #s(literal 2 binary64) (*.f64 (*.f64 (+.f64 eps eps) x) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (+.f64 eps eps) x) #s(literal 1 binary64)) (-.f64 (*.f64 (+.f64 eps eps) x) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (-.f64 (*.f64 (+.f64 eps eps) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (*.f64 (neg.f64 (neg.f64 x)) eps) (*.f64 (neg.f64 (neg.f64 x)) eps))) (-.f64 (*.f64 eps x) (*.f64 (neg.f64 (neg.f64 x)) eps)))
(/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) (neg.f64 (*.f64 (neg.f64 x) eps)))) (-.f64 (*.f64 eps x) (neg.f64 (*.f64 (neg.f64 x) eps))))
(/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 eps eps) x #s(literal 1 binary64)) (fma.f64 (+.f64 eps eps) x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (fma.f64 (+.f64 eps eps) x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 eps eps) x)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 eps eps) x)))) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 eps eps) x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 eps x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 eps x))))) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 eps x)))))
(/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps x)) (-.f64 #s(literal 0 binary64) (*.f64 eps x)))) (+.f64 (*.f64 eps x) (-.f64 #s(literal 0 binary64) (*.f64 eps x))))
(/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (*.f64 (*.f64 (neg.f64 x) eps) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 x) eps) #s(literal 1 binary64)))) (+.f64 (*.f64 eps x) (*.f64 (*.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.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 (pow.f64 (-.f64 (*.f64 (+.f64 eps eps) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (+.f64 eps eps) x) #s(literal 1 binary64)) (-.f64 (*.f64 (+.f64 eps eps) x) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (+.f64 eps eps) x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) (neg.f64 (*.f64 (neg.f64 x) eps))) (*.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) (neg.f64 (*.f64 (neg.f64 x) eps)))) (-.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) (neg.f64 (*.f64 (neg.f64 x) eps))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) (neg.f64 (*.f64 (neg.f64 x) eps)) (-.f64 (*.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) (neg.f64 (*.f64 (neg.f64 x) eps))) (*.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) (neg.f64 (*.f64 (neg.f64 x) eps))))))
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(fma.f64 (/.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 eps x))
(fma.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)) (/.f64 eps #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 x)) eps))
(fma.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)) (/.f64 eps #s(literal 1 binary64)) (neg.f64 (*.f64 (neg.f64 x) eps)))
(fma.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)) (/.f64 eps #s(literal 1 binary64)) (*.f64 eps x))
(fma.f64 (/.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 x x) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) eps))
(fma.f64 (/.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 x x) #s(literal 2 binary64)) (neg.f64 (*.f64 (neg.f64 x) eps)))
(fma.f64 (/.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 x x) #s(literal 2 binary64)) (*.f64 eps x))
(fma.f64 (/.f64 (+.f64 x x) #s(literal 1 binary64)) (/.f64 eps #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) eps))
(fma.f64 (/.f64 (+.f64 x x) #s(literal 1 binary64)) (/.f64 eps #s(literal 2 binary64)) (neg.f64 (*.f64 (neg.f64 x) eps)))
(fma.f64 (/.f64 (+.f64 x x) #s(literal 1 binary64)) (/.f64 eps #s(literal 2 binary64)) (*.f64 eps x))
(fma.f64 (/.f64 eps #s(literal 2 binary64)) (/.f64 (+.f64 x x) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 x)) eps))
(fma.f64 (/.f64 eps #s(literal 2 binary64)) (/.f64 (+.f64 x x) #s(literal 1 binary64)) (neg.f64 (*.f64 (neg.f64 x) eps)))
(fma.f64 (/.f64 eps #s(literal 2 binary64)) (/.f64 (+.f64 x x) #s(literal 1 binary64)) (*.f64 eps x))
(fma.f64 (/.f64 (+.f64 eps eps) #s(literal 2 binary64)) (/.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 x)) eps))
(fma.f64 (/.f64 (+.f64 eps eps) #s(literal 2 binary64)) (/.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 (*.f64 (neg.f64 x) eps)))
(fma.f64 (/.f64 (+.f64 eps eps) #s(literal 2 binary64)) (/.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) (*.f64 eps x))
(fma.f64 (/.f64 (+.f64 eps eps) #s(literal 2 binary64)) (/.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 x)) eps))
(fma.f64 (/.f64 (+.f64 eps eps) #s(literal 2 binary64)) (/.f64 x #s(literal 1 binary64)) (neg.f64 (*.f64 (neg.f64 x) eps)))
(fma.f64 (/.f64 (+.f64 eps eps) #s(literal 2 binary64)) (/.f64 x #s(literal 1 binary64)) (*.f64 eps x))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 eps eps) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) eps))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 eps eps) #s(literal 2 binary64)) (neg.f64 (*.f64 (neg.f64 x) eps)))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 eps eps) #s(literal 2 binary64)) (*.f64 eps x))
(fma.f64 (/.f64 (+.f64 eps eps) #s(literal 1 binary64)) (/.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) eps))
(fma.f64 (/.f64 (+.f64 eps eps) #s(literal 1 binary64)) (/.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 (*.f64 (neg.f64 x) eps)))
(fma.f64 (/.f64 (+.f64 eps eps) #s(literal 1 binary64)) (/.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 eps x))
(fma.f64 (/.f64 (+.f64 eps eps) #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) eps))
(fma.f64 (/.f64 (+.f64 eps eps) #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64)) (neg.f64 (*.f64 (neg.f64 x) eps)))
(fma.f64 (/.f64 (+.f64 eps eps) #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64)) (*.f64 eps x))
(fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 eps eps) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 x)) eps))
(fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 eps eps) #s(literal 1 binary64)) (neg.f64 (*.f64 (neg.f64 x) eps)))
(fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 eps eps) #s(literal 1 binary64)) (*.f64 eps x))
(fma.f64 (/.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (neg.f64 (neg.f64 x)) eps))
(fma.f64 (/.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64)) #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 x) eps)))
(fma.f64 (/.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 eps x))
(fma.f64 (/.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (neg.f64 (neg.f64 x)) eps))
(fma.f64 (/.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 x) eps)))
(fma.f64 (/.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 eps x))
(fma.f64 (*.f64 #s(literal 1 binary64) eps) x (*.f64 (neg.f64 (neg.f64 x)) eps))
(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 (neg.f64 (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) #s(literal 0 binary64))) #s(literal 0 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) eps) (*.f64 eps x))) (*.f64 eps x) #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (+.f64 eps eps) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps eps) x) (*.f64 (neg.f64 (neg.f64 x)) eps))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps eps) x) (neg.f64 (*.f64 (neg.f64 x) eps)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps eps) x) (*.f64 eps x))
(fma.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 x) eps) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 x)) eps))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 x) eps) #s(literal 1 binary64)) (neg.f64 (*.f64 (neg.f64 x) eps)))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 x) eps) #s(literal 1 binary64)) (*.f64 eps x))
(fma.f64 (*.f64 (neg.f64 x) eps) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 eps eps) x) #s(literal 0 binary64))) #s(literal 0 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps x) (*.f64 eps x))) (*.f64 eps x) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 eps eps) x))) (*.f64 (+.f64 eps eps) x) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (neg.f64 x) eps) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) eps))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (neg.f64 x) eps) #s(literal 2 binary64)) (neg.f64 (*.f64 (neg.f64 x) eps)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (neg.f64 x) eps) #s(literal 2 binary64)) (*.f64 eps x))
(fma.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) eps) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 eps eps) x))) (*.f64 (+.f64 eps eps) x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 x)) eps))
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) #s(literal 1 binary64)) (neg.f64 (*.f64 (neg.f64 x) eps)))
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) #s(literal 1 binary64)) (*.f64 eps x))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 eps eps) x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 eps x) (*.f64 (neg.f64 (neg.f64 x)) eps))
(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 eps eps) x) #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 x)) eps))
(fma.f64 (*.f64 (+.f64 eps eps) x) #s(literal 1/2 binary64) (neg.f64 (*.f64 (neg.f64 x) eps)))
(fma.f64 (*.f64 (+.f64 eps eps) x) #s(literal 1/2 binary64) (*.f64 eps x))
(fma.f64 (*.f64 (+.f64 eps eps) x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 eps eps) (neg.f64 (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (+.f64 eps eps) x #s(literal 0 binary64))
(fma.f64 (+.f64 x x) eps #s(literal 0 binary64))
(fma.f64 (*.f64 eps x) #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) eps))
(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 (neg.f64 (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) eps))
(fma.f64 #s(literal 2 binary64) (/.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64)) (neg.f64 (*.f64 (neg.f64 x) eps)))
(fma.f64 #s(literal 2 binary64) (/.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64)) (*.f64 eps x))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) eps))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps x) #s(literal 2 binary64)) (neg.f64 (*.f64 (neg.f64 x) eps)))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 eps x))
(fma.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 x) eps)) #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 (*.f64 (neg.f64 (neg.f64 x)) eps))
(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)) (*.f64 (neg.f64 (neg.f64 x)) eps))
(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 (*.f64 (neg.f64 (neg.f64 x)) eps))
(fma.f64 x eps (neg.f64 (*.f64 (neg.f64 x) eps)))
(fma.f64 x eps (*.f64 eps x))
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 eps eps) x) #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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 eps eps) x)))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 eps x))))
(-.f64 (*.f64 (+.f64 eps eps) x) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 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 #s(literal 0 binary64) (*.f64 eps x)))
(-.f64 (*.f64 eps x) (*.f64 (neg.f64 x) eps))
(+.f64 (/.f64 (*.f64 (*.f64 (+.f64 eps eps) x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 (-.f64 (*.f64 (+.f64 eps eps) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) (neg.f64 (*.f64 (neg.f64 x) eps)))
(+.f64 (*.f64 (+.f64 eps eps) x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (+.f64 eps eps) x))
(+.f64 (*.f64 eps x) (*.f64 (neg.f64 (neg.f64 x)) eps))
(+.f64 (*.f64 eps x) (neg.f64 (*.f64 (neg.f64 x) eps)))
(+.f64 (*.f64 eps x) (*.f64 eps x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) eps)) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps eps)) eps)
(*.f64 (+.f64 eps eps) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) eps))
(*.f64 #s(literal 2 binary64) eps)
(*.f64 eps #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 eps #s(literal 1 binary64)) (*.f64 eps #s(literal 1 binary64))) (*.f64 (*.f64 eps #s(literal 1 binary64)) (*.f64 eps #s(literal 1 binary64)))) (-.f64 (*.f64 eps #s(literal 1 binary64)) (*.f64 eps #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 eps #s(literal 1 binary64)) (*.f64 eps #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 eps #s(literal 1 binary64)) (*.f64 eps #s(literal 1 binary64))) (*.f64 (*.f64 eps #s(literal 1 binary64)) (*.f64 eps #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1 binary64) eps))) (-.f64 (*.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1 binary64) eps)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1 binary64) eps) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1 binary64) eps)))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 eps eps (*.f64 (neg.f64 eps) eps))))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 eps (neg.f64 eps)))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 eps eps))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 eps eps) (*.f64 eps eps))))
(neg.f64 (*.f64 #s(literal -2 binary64) eps))
(fma.f64 #s(literal 1 binary64) eps (*.f64 #s(literal 1 binary64) eps))
(fma.f64 eps #s(literal 1 binary64) (*.f64 eps #s(literal 1 binary64)))
(-.f64 eps (neg.f64 eps))
(+.f64 (*.f64 eps #s(literal 1 binary64)) (*.f64 eps #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1 binary64) eps))
(+.f64 eps eps)
#s(literal 0 binary64)

eval124.0ms (4%)

Memory
-28.5MiB live, 208.0MiB allocated; 31ms collecting garbage
Compiler

Compiled 6 870 to 2 812 computations (59.1% saved)

prune17.0ms (0.5%)

Memory
9.0MiB live, 55.2MiB allocated; 4ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New8415846
Fresh000
Picked303
Done000
Total8445849
Accuracy
100.0%
Counts
849 → 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))
62.6%
#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)))
74.2%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
Compiler

Compiled 110 to 110 computations (0% saved)

series14.0ms (0.5%)

Memory
-7.2MiB live, 39.1MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076273
Stop Event
iter-limit
Counts
19 → 20
Calls
Call 1
Inputs
#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 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 (- (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 (+ 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 (- (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) (*.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) (*.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 (+ 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:

TimeVariablePointExpression
2.0ms
x
@-inf
((- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ x x) eps) (* eps eps)) (+ x x) x eps (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ eps (* 2 x))) (+ eps (* 2 x)) (- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ (+ eps x) x)) (+ (+ eps x) x) (+ eps x))
1.0ms
eps
@-inf
((- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ x x) eps) (* eps eps)) (+ x x) x eps (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ eps (* 2 x))) (+ eps (* 2 x)) (- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ (+ eps x) x)) (+ (+ eps x) x) (+ eps x))
1.0ms
x
@inf
((- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ x x) eps) (* eps eps)) (+ x x) x eps (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ eps (* 2 x))) (+ eps (* 2 x)) (- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ (+ eps x) x)) (+ (+ eps x) x) (+ eps x))
1.0ms
eps
@inf
((- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ x x) eps) (* eps eps)) (+ x x) x eps (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ eps (* 2 x))) (+ eps (* 2 x)) (- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ (+ eps x) x)) (+ (+ eps x) x) (+ eps x))
1.0ms
x
@0
((- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ x x) eps) (* eps eps)) (+ x x) x eps (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ eps (* 2 x))) (+ eps (* 2 x)) (- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ (+ eps x) x)) (+ (+ eps x) x) (+ eps x))

rewrite279.0ms (8.9%)

Memory
73.4MiB live, 473.0MiB allocated; 106ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025148
035138
1205138
2633138
32214133
46914133
08246128
Stop Event
iter-limit
node-limit
iter-limit
Counts
19 → 504
Calls
Call 1
Inputs
#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 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 (- (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 (neg.f64 x) eps) eps) (*.f64 eps x))) (*.f64 eps x))
(*.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 (*.f64 #s(literal -2 binary64) x) eps) (neg.f64 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 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 (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 (*.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 (*.f64 eps eps) 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 (*.f64 eps eps) 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 (*.f64 eps eps) 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 (*.f64 eps eps) 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 (*.f64 eps eps) 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 (*.f64 eps eps) eps) eps) (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps)))))
(neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps) 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 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)) (*.f64 (+.f64 x x) eps))
(fma.f64 (-.f64 (neg.f64 x) eps) (neg.f64 eps) (*.f64 eps x))
(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 #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 (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 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) 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 #s(literal 1 binary64) (/.f64 x x)) x)
(*.f64 #s(literal 1 binary64) (+.f64 x x))
(*.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 (+.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (+.f64 x (neg.f64 x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x x (*.f64 (neg.f64 x) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(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 -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 #s(literal 1 binary64) (+.f64 x x) #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 (sqrt.f64 (*.f64 (neg.f64 eps) (neg.f64 (fabs.f64 eps)))) (sqrt.f64 (*.f64 (neg.f64 eps) (neg.f64 (fabs.f64 eps)))))
(*.f64 (sqrt.f64 (*.f64 eps (neg.f64 (fabs.f64 eps)))) (sqrt.f64 (*.f64 eps (neg.f64 (fabs.f64 eps)))))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 eps) (fabs.f64 eps))) (sqrt.f64 (*.f64 (neg.f64 eps) (fabs.f64 eps))))
(*.f64 (sqrt.f64 (*.f64 eps (fabs.f64 eps))) (sqrt.f64 (*.f64 eps (fabs.f64 eps))))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 eps))) (sqrt.f64 (*.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 eps))))
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 eps) (neg.f64 eps))) (sqrt.f64 (*.f64 (fabs.f64 eps) (neg.f64 eps))))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 (fabs.f64 eps)) eps)) (sqrt.f64 (*.f64 (neg.f64 (fabs.f64 eps)) eps)))
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 eps) eps)) (sqrt.f64 (*.f64 (fabs.f64 eps) eps)))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 (fabs.f64 eps)) (*.f64 eps eps))) (sqrt.f64 (neg.f64 (fabs.f64 eps))))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 eps) eps)) (sqrt.f64 (*.f64 (neg.f64 eps) eps)))
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 eps) (*.f64 eps eps))) (sqrt.f64 (fabs.f64 eps)))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 eps) (*.f64 eps eps))) (sqrt.f64 (neg.f64 eps)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 eps eps) eps)) (sqrt.f64 eps))
(*.f64 (pow.f64 (*.f64 (fabs.f64 eps) (*.f64 eps eps)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 eps) #s(literal 1/2 binary64)))
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(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 (-.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 x (+.f64 eps x))) (+.f64 eps x))
(*.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 (*.f64 eps eps) (*.f64 (+.f64 x x) (+.f64 x x))) (-.f64 eps (+.f64 x 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 (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 (-.f64 (neg.f64 x) eps) x))))
(/.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 x (-.f64 #s(literal 0 binary64) eps))))
(/.f64 (-.f64 (pow.f64 (+.f64 x x) #s(literal 3 binary64)) (*.f64 (neg.f64 eps) (*.f64 eps eps))) (fma.f64 (+.f64 x x) (+.f64 x x) (fma.f64 eps eps (*.f64 (*.f64 eps x) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) eps) (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 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) (-.f64 #s(literal 0 binary64) eps))
(/.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 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x (-.f64 #s(literal 0 binary64) eps))))
(/.f64 (+.f64 (*.f64 (*.f64 eps eps) eps) (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)) (*.f64 (*.f64 eps eps) eps)) (fma.f64 (+.f64 x x) (+.f64 x x) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps))))
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps #s(literal 0 binary64)) (-.f64 eps #s(literal 0 binary64)))
(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 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64) eps)
(fma.f64 (neg.f64 x) #s(literal -2 binary64) eps)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps 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) (*.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))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) eps)) eps)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps)
(/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps))
(/.f64 (*.f64 (-.f64 eps x) (+.f64 eps x)) (-.f64 eps x))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 x x (*.f64 (neg.f64 x) eps))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 eps) (*.f64 eps eps))) (fma.f64 x x (fma.f64 eps eps (*.f64 (neg.f64 x) eps))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 eps eps) eps)) (fma.f64 x x (-.f64 (*.f64 eps eps) (*.f64 eps x))))
(/.f64 (+.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x))))
(neg.f64 (-.f64 (neg.f64 x) eps))
(-.f64 eps (neg.f64 x))
(-.f64 x (neg.f64 eps))
(+.f64 eps x)
(+.f64 x eps)

eval66.0ms (2.1%)

Memory
-21.3MiB live, 127.9MiB allocated; 59ms collecting garbage
Compiler

Compiled 2 634 to 1 306 computations (50.4% saved)

prune12.0ms (0.4%)

Memory
-18.2MiB live, 27.8MiB allocated; 6ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New3670367
Fresh000
Picked055
Done000
Total3675372
Accuracy
100.0%
Counts
372 → 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))
62.6%
#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)))
74.2%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
Compiler

Compiled 102 to 96 computations (5.9% saved)

regimes8.0ms (0.3%)

Memory
24.5MiB live, 24.5MiB allocated; 0ms collecting garbage
Counts
9 → 1
Calls
Call 1
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)))
(fma.f64 eps eps (fma.f64 (+.f64 eps eps) x #s(literal 0 binary64)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Outputs
(fma.f64 eps eps (fma.f64 (+.f64 eps eps) x #s(literal 0 binary64)))
Calls

3 calls:

3.0ms
eps
3.0ms
x
2.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
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 10 to 11 computations (-10% saved)

regimes20.0ms (0.6%)

Memory
-28.4MiB live, 21.2MiB allocated; 25ms collecting garbage
Counts
7 → 1
Calls
Call 1
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)))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps)))
Calls

3 calls:

15.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
2.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
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 10 to 11 computations (-10% saved)

regimes6.0ms (0.2%)

Memory
19.1MiB live, 19.1MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
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))
Calls

3 calls:

2.0ms
eps
2.0ms
x
2.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
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 10 to 11 computations (-10% saved)

regimes4.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
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)))
Calls

3 calls:

1.0ms
x
1.0ms
eps
1.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
96.1%2(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
93.8%3x
86.2%3eps
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0.1%)

Memory
10.6MiB live, 10.6MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 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)))
Calls

3 calls:

1.0ms
eps
1.0ms
x
1.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
74.2%1eps
74.2%1x
74.2%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
7e-323
Compiler

Compiled 11 to 12 computations (-9.1% saved)

derivations152.0ms (4.9%)

Memory
-32.8MiB live, 150.3MiB allocated; 43ms collecting garbage
Stop Event
done
Compiler

Compiled 39 to 32 computations (17.9% saved)

preprocess35.0ms (1.1%)

Memory
20.2MiB live, 111.6MiB allocated; 10ms collecting garbage
Compiler

Compiled 47 to 39 computations (17% saved)

end0.0ms (0%)

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

Profiling

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