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

Time bar (total: 2.2s)

start0.0ms (0.0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze0.0ms (0.0%)

Memory
1.0MiB live, 1.0MiB 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)

sample1.2s (54.8%)

Memory
-2.3MiB live, 2 430.2MiB allocated; 468ms collecting garbage
Samples
390.0ms5 113×0valid
307.0ms2 485×1valid
174.0ms658×2valid
Precisions
Click to see histograms. Total time spent on operations: 503.0ms
ival-pow2: 298.0ms (59.3% of total)
adjust: 107.0ms (21.3% of total)
ival-add!: 64.0ms (12.7% of total)
ival-sub!: 33.0ms (6.6% of total)
Bogosity

preprocess36.0ms (1.7%)

Memory
-11.8MiB live, 33.5MiB allocated; 7ms 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
77.3%
(-.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
0.6MiB 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)

series23.0ms (1.0%)

Memory
5.8MiB live, 50.4MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095363
Stop Event
iter-limit
Counts
7 → 23
Calls
Call 1
Inputs
x
eps
(+.f64 x eps)
#s(literal 2 binary64)
(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Outputs
#s(approx x x)
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (pow (+ x eps) 2) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (pow (+ x eps) 2) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (pow (+ x eps) 2) (+.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) eps))) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (pow x 2) (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) (*.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) (+.f64 (*.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 (- (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 (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) 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) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.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 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow (+ x eps) 2) (+.f64 (*.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 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
#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 2 binary64) (/.f64 x eps)))))
#s(approx (pow (+ x eps) 2) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.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 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#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 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))) eps)))))
Calls

6 calls:

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

rewrite169.0ms (7.8%)

Memory
22.3MiB live, 594.4MiB allocated; 47ms 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 → 353
Calls
Call 1
Inputs
x
eps
(+.f64 x eps)
#s(literal 2 binary64)
(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Outputs
x
eps
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 x)) eps)) eps)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) eps)) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.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 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (*.f64 eps eps) (-.f64 (*.f64 x x) (*.f64 eps (neg.f64 (neg.f64 x))))))
(/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 eps eps) (+.f64 (*.f64 x x) (*.f64 eps (neg.f64 x)))))
(/.f64 (*.f64 (-.f64 eps x) (+.f64 eps x)) (-.f64 eps x))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 eps eps) (-.f64 (*.f64 x x) (*.f64 eps x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (+.f64 (*.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))) (+.f64 (*.f64 x x) (-.f64 (*.f64 eps eps) (*.f64 eps x))))
(neg.f64 (-.f64 (neg.f64 x) eps))
(-.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)
#s(literal 2 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x x) eps) (+.f64 (*.f64 eps eps) (*.f64 x x)))) (+.f64 (*.f64 eps eps) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 (*.f64 eps eps) (*.f64 #s(literal 2 binary64) (*.f64 eps (neg.f64 x)))))) (-.f64 (*.f64 eps eps) (*.f64 #s(literal 2 binary64) (*.f64 eps (neg.f64 x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (neg.f64 eps) eps)) (+.f64 (*.f64 (+.f64 eps x) x) (*.f64 eps x)))) (+.f64 (*.f64 (+.f64 eps x) x) (*.f64 eps x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 eps eps)) (*.f64 (+.f64 x x) eps))) (*.f64 (+.f64 x x) eps))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) (+.f64 (*.f64 eps eps) (*.f64 x x)))) (+.f64 (*.f64 eps eps) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (neg.f64 x) eps) x) (*.f64 (+.f64 eps x) eps))) (*.f64 (+.f64 eps x) eps))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) (+.f64 eps x)) (*.f64 (+.f64 eps x) eps))) (*.f64 (+.f64 eps x) eps))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (+.f64 eps x) x)) (*.f64 (+.f64 eps x) eps))) (*.f64 (+.f64 eps x) eps))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (neg.f64 x) eps) eps) (*.f64 (+.f64 eps x) x))) (*.f64 (+.f64 eps x) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 eps) (+.f64 eps x)) (*.f64 (+.f64 eps x) x))) (*.f64 (+.f64 eps x) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (+.f64 eps x) eps)) (*.f64 (+.f64 eps x) x))) (*.f64 (+.f64 eps x) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 eps (+.f64 (+.f64 eps x) x)))) (*.f64 eps (+.f64 (+.f64 eps x) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) (*.f64 x x)) (*.f64 eps eps))) (*.f64 eps eps))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 eps (+.f64 (+.f64 eps x) x))) (*.f64 x x))) (*.f64 x x))
(*.f64 (pow.f64 (fabs.f64 (+.f64 eps x)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 (+.f64 eps x)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (-.f64 (neg.f64 x) eps) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (-.f64 (neg.f64 x) eps) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 (+.f64 eps x)))) (neg.f64 (neg.f64 (fabs.f64 (+.f64 eps x)))))
(*.f64 (pow.f64 (fabs.f64 (+.f64 eps x)) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 (+.f64 eps x)) #s(literal 1 binary64)) (fabs.f64 (+.f64 eps x)))
(*.f64 (pow.f64 (-.f64 (neg.f64 x) eps) #s(literal 1 binary64)) (pow.f64 (-.f64 (neg.f64 x) eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (neg.f64 x) eps) #s(literal 1 binary64)) (-.f64 (neg.f64 x) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 eps x) x) (*.f64 (+.f64 eps x) eps))) (*.f64 (+.f64 eps x) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) x))) (*.f64 (+.f64 eps x) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 eps (+.f64 (+.f64 eps x) x)))) (*.f64 eps (+.f64 (+.f64 eps x) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 eps x) x) (*.f64 eps x)) (*.f64 eps eps))) (*.f64 eps eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (+.f64 (+.f64 eps x) x)) (*.f64 x x))) (*.f64 x x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 eps) eps) (+.f64 (*.f64 (+.f64 eps x) x) (*.f64 eps x)))) (+.f64 (*.f64 (+.f64 eps x) x) (*.f64 eps x)))
(*.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (neg.f64 (fabs.f64 (+.f64 eps x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps eps) (+.f64 (*.f64 (+.f64 eps x) x) (*.f64 eps x)))) (+.f64 (*.f64 (+.f64 eps x) x) (*.f64 eps x)))
(*.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 (+.f64 eps x)))
(*.f64 (-.f64 (neg.f64 x) eps) (-.f64 (neg.f64 x) eps))
(*.f64 (pow.f64 (+.f64 eps x) #s(literal 1 binary64)) (pow.f64 (+.f64 eps x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 eps x) #s(literal 1 binary64)) (+.f64 eps x))
(*.f64 (pow.f64 (+.f64 eps x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (+.f64 eps x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (+.f64 eps x) (+.f64 eps x))
(pow.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (+.f64 eps x)) #s(literal 2 binary64))
(pow.f64 (-.f64 (neg.f64 x) eps) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (+.f64 eps x) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 eps eps) (*.f64 x x)) (+.f64 (*.f64 eps eps) (*.f64 x x))) (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps))) (-.f64 (+.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 (+.f64 x x) eps)))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 2 binary64) (*.f64 eps (neg.f64 x)))) (-.f64 (*.f64 eps eps) (*.f64 #s(literal 2 binary64) (*.f64 eps (neg.f64 x))))) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 2 binary64) (*.f64 eps (neg.f64 x)))) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 (+.f64 eps x) x) (*.f64 eps x)) (+.f64 (*.f64 (+.f64 eps x) x) (*.f64 eps x))) (*.f64 (neg.f64 (*.f64 (neg.f64 eps) eps)) (neg.f64 (*.f64 (neg.f64 eps) eps)))) (-.f64 (+.f64 (*.f64 (+.f64 eps x) x) (*.f64 eps x)) (neg.f64 (*.f64 (neg.f64 eps) eps))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps)) (*.f64 (+.f64 (*.f64 x x) (*.f64 eps eps)) (+.f64 (*.f64 x x) (*.f64 eps eps)))) (-.f64 (*.f64 (+.f64 x x) eps) (+.f64 (*.f64 x x) (*.f64 eps eps))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 eps eps) (*.f64 x x)) (+.f64 (*.f64 eps eps) (*.f64 x x))) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) (*.f64 #s(literal -2 binary64) (*.f64 eps x)))) (+.f64 (+.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 #s(literal -2 binary64) (*.f64 eps x))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) eps)) (*.f64 (*.f64 (-.f64 (neg.f64 x) eps) x) (*.f64 (-.f64 (neg.f64 x) eps) x))) (+.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (-.f64 (neg.f64 x) eps) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) eps)) (*.f64 (*.f64 (neg.f64 x) (+.f64 eps x)) (*.f64 (neg.f64 x) (+.f64 eps x)))) (+.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (neg.f64 x) (+.f64 eps x))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) eps)) (*.f64 (neg.f64 (*.f64 (+.f64 eps x) x)) (neg.f64 (*.f64 (+.f64 eps x) x)))) (+.f64 (*.f64 (+.f64 eps x) eps) (neg.f64 (*.f64 (+.f64 eps x) x))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (+.f64 eps x) x)) (*.f64 (*.f64 (-.f64 (neg.f64 x) eps) eps) (*.f64 (-.f64 (neg.f64 x) eps) eps))) (+.f64 (*.f64 (+.f64 eps x) x) (*.f64 (-.f64 (neg.f64 x) eps) eps)))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (+.f64 eps x) x)) (*.f64 (*.f64 (neg.f64 eps) (+.f64 eps x)) (*.f64 (neg.f64 eps) (+.f64 eps x)))) (+.f64 (*.f64 (+.f64 eps x) x) (*.f64 (neg.f64 eps) (+.f64 eps x))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (+.f64 eps x) x)) (*.f64 (neg.f64 (*.f64 (+.f64 eps x) eps)) (neg.f64 (*.f64 (+.f64 eps x) eps)))) (+.f64 (*.f64 (+.f64 eps x) x) (neg.f64 (*.f64 (+.f64 eps x) eps))))
(/.f64 (-.f64 (*.f64 (*.f64 eps (+.f64 (+.f64 eps x) x)) (*.f64 eps (+.f64 (+.f64 eps x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))) (-.f64 (*.f64 eps (+.f64 (+.f64 eps x) x)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) (*.f64 x x)))) (+.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (neg.f64 (*.f64 eps (+.f64 (+.f64 eps x) x))) (neg.f64 (*.f64 eps (+.f64 (+.f64 eps x) x))))) (-.f64 (*.f64 x x) (*.f64 eps (+.f64 (+.f64 eps x) x))))
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eval91.0ms (4.2%)

Memory
16.2MiB live, 106.2MiB allocated; 22ms collecting garbage
Compiler

Compiled 9 785 to 1 329 computations (86.4% saved)

prune10.0ms (0.5%)

Memory
-24.4MiB live, 22.4MiB allocated; 4ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3665371
Fresh000
Picked101
Done000
Total3675372
Accuracy
100.0%
Counts
372 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (*.f64 eps (+.f64 (+.f64 eps x) x)) (*.f64 (-.f64 x x) (+.f64 x x)))
100.0%
(-.f64 (*.f64 eps eps) (-.f64 (*.f64 (-.f64 x x) (+.f64 x x)) (*.f64 (+.f64 x x) eps)))
77.3%
(*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x))
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
62.7%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
Compiler

Compiled 150 to 94 computations (37.3% saved)

sample0.0ms (0.0%)

Memory
0.4MiB live, 0.4MiB 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)

series28.0ms (1.3%)

Memory
26.8MiB live, 127.0MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082355
Stop Event
iter-limit
Counts
23 → 23
Calls
Call 1
Inputs
eps
(*.f64 eps eps)
x
(-.f64 x x)
(+.f64 x x)
(*.f64 (-.f64 x x) (+.f64 x x))
(*.f64 (+.f64 x x) eps)
(-.f64 (*.f64 (-.f64 x x) (+.f64 x x)) (*.f64 (+.f64 x x) eps))
(-.f64 (*.f64 eps eps) (-.f64 (*.f64 (-.f64 x x) (+.f64 x x)) (*.f64 (+.f64 x x) eps)))
#s(literal 2 binary64)
(*.f64 eps x)
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
(*.f64 #s(literal 2 binary64) x)
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(+.f64 eps x)
(-.f64 (+.f64 eps x) x)
(+.f64 (+.f64 eps x) x)
(*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x))
(*.f64 eps (+.f64 (+.f64 eps x) x))
(-.f64 (*.f64 eps (+.f64 (+.f64 eps x) x)) (*.f64 (-.f64 x x) (+.f64 x x)))
Outputs
#s(approx x x)
#s(approx (- x x) #s(literal 0 binary64))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (* (+ x x) eps) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
#s(approx (- (* (- x x) (+ x x)) (* (+ x x) eps)) (*.f64 #s(literal -2 binary64) (*.f64 eps x)))
#s(approx (- (* eps eps) (- (* (- x x) (+ x x)) (* (+ x x) eps))) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (- (* eps eps) (- (* (- x x) (+ x x)) (* (+ x x) eps))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* eps x) (*.f64 eps x))
#s(approx (+ eps (* 2 x)) eps)
#s(approx (+ eps (* 2 x)) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (- (* eps eps) (- (* (- x x) (+ x x)) (* (+ x x) eps))) (*.f64 x (+.f64 (*.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 (- (* eps eps) (- (* (- x x) (+ x x)) (* (+ x x) eps))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.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 (- (* eps eps) (- (* (- x x) (+ x x)) (* (+ x x) eps))) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
#s(approx (- (* eps eps) (- (* (- x x) (+ x x)) (* (+ x x) eps))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (+ eps (* 2 x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (+ eps x) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (+ eps (* 2 x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (+ eps x) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
Calls

6 calls:

TimeVariablePoint
4.0ms
eps
0
2.0ms
x
-inf
2.0ms
eps
-inf
2.0ms
x
inf
2.0ms
x
0

rewrite224.0ms (10.4%)

Memory
-9.7MiB live, 533.2MiB allocated; 131ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027155
045159
1285109
21180109
04334109
Stop Event
iter-limit
node-limit
iter-limit
Counts
23 → 958
Calls
Call 1
Inputs
eps
(*.f64 eps eps)
x
(-.f64 x x)
(+.f64 x x)
(*.f64 (-.f64 x x) (+.f64 x x))
(*.f64 (+.f64 x x) eps)
(-.f64 (*.f64 (-.f64 x x) (+.f64 x x)) (*.f64 (+.f64 x x) eps))
(-.f64 (*.f64 eps eps) (-.f64 (*.f64 (-.f64 x x) (+.f64 x x)) (*.f64 (+.f64 x x) eps)))
#s(literal 2 binary64)
(*.f64 eps x)
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
(*.f64 #s(literal 2 binary64) x)
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(+.f64 eps x)
(-.f64 (+.f64 eps x) x)
(+.f64 (+.f64 eps x) x)
(*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x))
(*.f64 eps (+.f64 (+.f64 eps x) x))
(-.f64 (*.f64 eps (+.f64 (+.f64 eps x) x)) (*.f64 (-.f64 x x) (+.f64 x x)))
Outputs
eps
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 eps eps))) (*.f64 eps eps))
(*.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 (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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 eps eps))) (*.f64 eps 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) (fabs.f64 eps))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 eps eps)
(pow.f64 (neg.f64 (fabs.f64 eps)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 eps) #s(literal 2 binary64))
(pow.f64 (neg.f64 eps) #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 eps #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 eps eps) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 eps eps) #s(literal 0 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 (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 eps eps))
(/.f64 (-.f64 (pow.f64 (*.f64 eps eps) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 eps eps) #s(literal 0 binary64)))))
(/.f64 (pow.f64 eps #s(literal 1 binary64)) (pow.f64 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 (*.f64 (neg.f64 eps) eps) #s(literal 0 binary64)))
(neg.f64 (*.f64 (neg.f64 eps) eps))
(-.f64 (*.f64 eps eps) #s(literal 0 binary64))
(sqrt.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(fabs.f64 (*.f64 (neg.f64 eps) eps))
(fabs.f64 (*.f64 eps eps))
(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)))
(+.f64 (*.f64 (neg.f64 eps) (-.f64 x eps)) (*.f64 x eps))
(+.f64 (*.f64 (neg.f64 eps) #s(literal 0 binary64)) (*.f64 eps eps))
(+.f64 (*.f64 (-.f64 x eps) (neg.f64 eps)) (*.f64 x eps))
(+.f64 (+.f64 (pow.f64 (-.f64 x eps) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 x eps) (neg.f64 x)))) (*.f64 x x))
(+.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 eps)))) (*.f64 eps eps))
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 eps)) (*.f64 eps eps))
(+.f64 (+.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (neg.f64 x) eps)))) (*.f64 (+.f64 x eps) (+.f64 x eps)))
(+.f64 (+.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (+.f64 x eps)))) (*.f64 (+.f64 x eps) (+.f64 x eps)))
(+.f64 (+.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x eps) (neg.f64 x)))) (*.f64 x x))
(+.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) eps))) (*.f64 eps eps))
(+.f64 (+.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 eps x)))) (pow.f64 (-.f64 eps x) #s(literal 2 binary64)))
(+.f64 (+.f64 (*.f64 eps eps) (*.f64 #s(literal 2 binary64) (*.f64 eps #s(literal 0 binary64)))) #s(literal 0 binary64))
(+.f64 (-.f64 (pow.f64 (-.f64 x eps) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 x eps) x))) (*.f64 x x))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) eps))) (*.f64 eps eps))
(+.f64 (*.f64 #s(literal 0 binary64) eps) (*.f64 eps eps))
(+.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x eps)))) (*.f64 (+.f64 x eps) (+.f64 x eps)))
(+.f64 (-.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x eps) (neg.f64 (neg.f64 x))))) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (-.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x eps) x))) (*.f64 x x))
(+.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (neg.f64 eps) x)))) (pow.f64 (+.f64 (neg.f64 eps) x) #s(literal 2 binary64)))
(+.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 2 binary64) (*.f64 eps #s(literal 0 binary64)))) #s(literal 0 binary64))
(+.f64 (*.f64 eps #s(literal 0 binary64)) (*.f64 eps eps))
(+.f64 (*.f64 (neg.f64 x) eps) (*.f64 (+.f64 x eps) eps))
(+.f64 (*.f64 (+.f64 x eps) eps) (*.f64 (neg.f64 x) eps))
(+.f64 (*.f64 x eps) (*.f64 eps (-.f64 eps x)))
(+.f64 (*.f64 x eps) (*.f64 (-.f64 eps x) eps))
(+.f64 (*.f64 eps eps) (*.f64 #s(literal 0 binary64) eps))
(+.f64 (*.f64 eps eps) (*.f64 eps #s(literal 0 binary64)))
(+.f64 (*.f64 eps eps) #s(literal 0 binary64))
x
#s(literal 0 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))) (*.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 x)) x)) x)
(*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) x)) x)
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.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 #s(literal 2 binary64) (neg.f64 (neg.f64 x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x (neg.f64 (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (+.f64 x (neg.f64 x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))) (-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (+.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 (*.f64 x #s(literal 1 binary64)) (neg.f64 (*.f64 x #s(literal 1 binary64))))
(-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -1 binary64) x))
(-.f64 (*.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 #s(literal 1 binary64) x)))
(-.f64 x (neg.f64 (neg.f64 (neg.f64 x))))
(-.f64 x (neg.f64 x))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(+.f64 x (neg.f64 (neg.f64 x)))
(+.f64 x x)
#s(literal 0 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x eps) #s(literal 1 binary64)) (*.f64 (*.f64 x eps) #s(literal 1 binary64)))) (*.f64 (*.f64 x eps) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x eps)) (*.f64 #s(literal 1 binary64) (*.f64 x eps)))) (*.f64 #s(literal 1 binary64) (*.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 (+.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 (neg.f64 x) eps) (*.f64 x eps))) (*.f64 x eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x eps) (*.f64 x eps))) (*.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 (+.f64 eps eps) x)
(*.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 eps))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 eps eps) x))
(*.f64 (neg.f64 eps) (*.f64 #s(literal -2 binary64) x))
(*.f64 (+.f64 x x) eps)
(*.f64 (*.f64 x eps) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 x eps))
(*.f64 x (-.f64 (+.f64 eps eps) #s(literal 0 binary64)))
(*.f64 x (+.f64 eps eps))
(*.f64 eps (+.f64 x x))
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(/.f64 (+.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 x eps) eps) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (-.f64 (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 x eps) (*.f64 (+.f64 x eps) eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps eps) x) #s(literal 3 binary64)) (pow.f64 (*.f64 eps eps) #s(literal 3 binary64))) (+.f64 (*.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 #s(literal 0 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 (+.f64 x eps) x) eps) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (+.f64 (+.f64 x eps) x) eps) (*.f64 (+.f64 (+.f64 x eps) x) eps)) (*.f64 #s(literal 0 binary64) (*.f64 (+.f64 (+.f64 x eps) x) eps)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x eps) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) eps) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 (+.f64 x eps) eps)) (+.f64 (*.f64 (*.f64 (neg.f64 x) eps) (*.f64 (neg.f64 x) eps)) (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 (neg.f64 x) eps)))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 (+.f64 x eps) (+.f64 x eps))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))) (-.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 (*.f64 (+.f64 x eps) eps) (*.f64 x eps)))
(/.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 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 (+.f64 x eps) x) eps) (*.f64 (+.f64 (+.f64 x eps) x) eps))) (*.f64 (-.f64 (-.f64 (neg.f64 x) eps) x) eps))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 (+.f64 x eps) (+.f64 x eps))) (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 (neg.f64 x) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x eps) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 x eps) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 (+.f64 x eps) eps)) (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 x eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 eps eps) x) #s(literal 3 binary64))) (+.f64 (*.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)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 x eps) x) eps) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (+.f64 (+.f64 x eps) x) eps) (*.f64 (+.f64 (+.f64 x eps) x) eps)) (-.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 (+.f64 x eps) x) eps) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (+.f64 x eps) x) eps) (*.f64 (+.f64 (+.f64 x eps) x) eps)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (+.f64 (+.f64 x eps) x) eps))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 (+.f64 x eps) (+.f64 x eps))) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x eps)) (*.f64 #s(literal -2 binary64) (*.f64 x eps)))) (+.f64 (*.f64 eps eps) (*.f64 #s(literal -2 binary64) (*.f64 x eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (+.f64 x eps) x) eps) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (+.f64 (+.f64 x eps) x) eps) (*.f64 (+.f64 (+.f64 x eps) x) eps)) (+.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 (+.f64 x eps) x) eps) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 (+.f64 x eps) (+.f64 x eps))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps eps) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 x eps)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x eps)) (*.f64 #s(literal -2 binary64) (*.f64 x eps))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -2 binary64) (*.f64 x eps))))))
(neg.f64 (*.f64 (-.f64 (-.f64 (neg.f64 x) eps) x) eps))
(-.f64 (*.f64 (+.f64 (+.f64 x eps) x) (+.f64 x eps)) (*.f64 (-.f64 (-.f64 (neg.f64 x) eps) x) (neg.f64 x)))
(-.f64 (*.f64 (+.f64 (+.f64 x eps) x) (+.f64 x eps)) (neg.f64 (*.f64 (+.f64 (+.f64 x eps) x) (neg.f64 x))))
(-.f64 (*.f64 (+.f64 x eps) (+.f64 (+.f64 x eps) x)) (*.f64 x (+.f64 (+.f64 x eps) x)))
(-.f64 (*.f64 (+.f64 x eps) (+.f64 (+.f64 x eps) x)) (*.f64 (neg.f64 (neg.f64 x)) (+.f64 (+.f64 x eps) x)))
(-.f64 (*.f64 (+.f64 x eps) (+.f64 (+.f64 x eps) x)) (neg.f64 (*.f64 (neg.f64 x) (+.f64 (+.f64 x eps) x))))
(-.f64 (*.f64 (+.f64 x eps) eps) (*.f64 (neg.f64 x) eps))
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (-.f64 (neg.f64 x) eps) (+.f64 x eps)))
(-.f64 (*.f64 x (+.f64 (+.f64 eps eps) x)) (neg.f64 (*.f64 (-.f64 eps x) (+.f64 x eps))))
(-.f64 (*.f64 (+.f64 (+.f64 x eps) x) eps) (*.f64 (-.f64 (-.f64 (neg.f64 x) eps) x) #s(literal 0 binary64)))
(-.f64 (*.f64 (+.f64 (+.f64 x eps) x) eps) (*.f64 (+.f64 x eps) #s(literal 0 binary64)))
(-.f64 (*.f64 (+.f64 (+.f64 x eps) x) eps) (*.f64 #s(literal 0 binary64) (+.f64 x eps)))
(-.f64 (*.f64 (+.f64 (+.f64 x eps) x) eps) #s(literal 0 binary64))
(-.f64 (*.f64 x eps) (*.f64 (-.f64 (neg.f64 x) eps) eps))
(-.f64 (*.f64 x eps) (*.f64 (neg.f64 eps) (+.f64 x eps)))
(-.f64 (*.f64 x eps) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x eps) eps)))
(-.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 x x))
(-.f64 (*.f64 (+.f64 eps eps) x) (*.f64 (neg.f64 eps) eps))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (-.f64 (neg.f64 x) eps) x) eps))
(-.f64 (*.f64 eps eps) (*.f64 x (-.f64 x (+.f64 x (+.f64 eps eps)))))
(-.f64 (*.f64 eps eps) (*.f64 #s(literal -2 binary64) (*.f64 x eps)))
(+.f64 (*.f64 (+.f64 (+.f64 x eps) x) x) (*.f64 (+.f64 (+.f64 x eps) x) (-.f64 eps x)))
(+.f64 (*.f64 x (+.f64 (+.f64 x eps) x)) (*.f64 (-.f64 eps x) (+.f64 (+.f64 x eps) x)))
(+.f64 (*.f64 (+.f64 (+.f64 x eps) x) (neg.f64 x)) (*.f64 (+.f64 (+.f64 x eps) x) (+.f64 x eps)))
(+.f64 (*.f64 (+.f64 (+.f64 x eps) x) (+.f64 x eps)) (*.f64 (+.f64 (+.f64 x eps) x) (neg.f64 x)))
(+.f64 (*.f64 (+.f64 x eps) #s(literal 0 binary64)) (*.f64 (+.f64 (+.f64 x eps) x) eps))
(+.f64 (*.f64 (neg.f64 x) (+.f64 (+.f64 x eps) x)) (*.f64 (+.f64 x eps) (+.f64 (+.f64 x eps) x)))
(+.f64 (*.f64 (+.f64 x eps) (+.f64 (+.f64 x eps) x)) (*.f64 (neg.f64 x) (+.f64 (+.f64 x eps) x)))
(+.f64 (*.f64 #s(literal 0 binary64) (+.f64 x eps)) (*.f64 (+.f64 (+.f64 x eps) x) eps))
(+.f64 (*.f64 (+.f64 x eps) eps) (*.f64 (neg.f64 (neg.f64 x)) eps))
(+.f64 (*.f64 (+.f64 x eps) eps) (*.f64 eps (neg.f64 (neg.f64 x))))
(+.f64 (*.f64 (+.f64 x eps) eps) (*.f64 x eps))
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 (+.f64 x eps) (+.f64 x eps)))
(+.f64 (*.f64 x (+.f64 (+.f64 eps eps) x)) (*.f64 (-.f64 eps x) (+.f64 x eps)))
(+.f64 (*.f64 (+.f64 (+.f64 x eps) x) eps) (*.f64 (+.f64 x eps) #s(literal 0 binary64)))
(+.f64 (*.f64 (+.f64 (+.f64 x eps) x) eps) (*.f64 #s(literal 0 binary64) (+.f64 x eps)))
(+.f64 (*.f64 (+.f64 (+.f64 x eps) x) eps) #s(literal 0 binary64))
(+.f64 (*.f64 x eps) (*.f64 (+.f64 x eps) eps))
(+.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 (neg.f64 x) x))
(+.f64 (*.f64 (+.f64 eps eps) x) (*.f64 eps eps))
(+.f64 #s(literal 0 binary64) (*.f64 (+.f64 (+.f64 x eps) x) eps))
(+.f64 (*.f64 eps eps) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) eps)))
(+.f64 (*.f64 eps eps) (*.f64 (+.f64 eps eps) x))

eval62.0ms (2.9%)

Memory
-8.3MiB live, 132.0MiB allocated; 14ms collecting garbage
Compiler

Compiled 11 954 to 1 774 computations (85.2% saved)

prune11.0ms (0.5%)

Memory
-17.8MiB live, 28.5MiB allocated; 3ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New4875492
Fresh000
Picked505
Done000
Total4925497
Accuracy
100.0%
Counts
497 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f64 (*.f64 (+.f64 x eps) eps) (*.f64 x eps))
100.0%
(*.f64 (+.f64 (+.f64 x eps) x) eps)
62.8%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x))
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 x x) eps)))
74.8%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
Compiler

Compiled 134 to 88 computations (34.3% saved)

sample0.0ms (0.0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
Outputs

series19.0ms (0.9%)

Memory
-5.9MiB live, 43.3MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094353
Stop Event
iter-limit
Counts
18 → 27
Calls
Call 1
Inputs
x
eps
(+.f64 x x)
(+.f64 (+.f64 x x) eps)
(*.f64 eps (+.f64 (+.f64 x x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 x x) eps)))
#s(approx (+ eps (* 2 x)) eps)
(*.f64 eps #s(approx (+ eps (* 2 x)) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
(+.f64 eps eps)
(*.f64 (+.f64 eps eps) x)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x))
(+.f64 x eps)
(+.f64 (+.f64 x eps) x)
(*.f64 (+.f64 (+.f64 x eps) x) eps)
(*.f64 (+.f64 x eps) eps)
(*.f64 x eps)
(+.f64 (*.f64 (+.f64 x eps) eps) (*.f64 x eps))
Outputs
#s(approx x x)
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (+ x x) eps) eps)
#s(approx (+ (+ x x) eps) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx (* eps (+ (+ x x) eps)) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (* eps (+ (+ x x) eps)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* (+ eps eps) x) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (* (+ x eps) eps) (+.f64 (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* x eps) (*.f64 eps x))
#s(approx (+ (+ x x) eps) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(approx (* eps (+ (+ x x) eps)) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (* (+ x eps) eps) (*.f64 x (+.f64 eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (+ (+ x 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 x) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) 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 (* (+ x eps) eps) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (* eps (+ (+ x x) eps)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
#s(approx (+ eps eps) (*.f64 #s(literal 2 binary64) eps))
#s(approx (* (+ x eps) eps) (*.f64 eps (+.f64 eps x)))
#s(approx (+ (+ x x) eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (* eps (+ (+ x x) eps)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (* (+ x eps) eps) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (+ (+ x x) eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#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
2.0ms
eps
-inf
2.0ms
x
-inf
1.0ms
eps
inf
1.0ms
x
inf
1.0ms
x
0

rewrite175.0ms (8.1%)

Memory
27.8MiB live, 308.0MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025124
037122
1207122
2617122
32045122
04183122
Stop Event
iter-limit
node-limit
iter-limit
Counts
18 → 291
Calls
Call 1
Inputs
x
eps
(+.f64 x x)
(+.f64 (+.f64 x x) eps)
(*.f64 eps (+.f64 (+.f64 x x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 x x) eps)))
#s(approx (+ eps (* 2 x)) eps)
(*.f64 eps #s(approx (+ eps (* 2 x)) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
(+.f64 eps eps)
(*.f64 (+.f64 eps eps) x)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x))
(+.f64 x eps)
(+.f64 (+.f64 x eps) x)
(*.f64 (+.f64 (+.f64 x eps) x) eps)
(*.f64 (+.f64 x eps) eps)
(*.f64 x eps)
(+.f64 (*.f64 (+.f64 x eps) eps) (*.f64 x eps))
Outputs
x
eps
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) x) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) x)) x)
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.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) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))) (+.f64 x (*.f64 (neg.f64 x) #s(literal 1 binary64))))
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(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 eps eps) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 eps) eps) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (+.f64 eps eps) x) (*.f64 (+.f64 eps eps) x)) (+.f64 (*.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 x) eps) eps) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (+.f64 (*.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 (+.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 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 (pow.f64 (*.f64 (+.f64 eps eps) x) #s(literal 3 binary64)) (pow.f64 (*.f64 eps eps) #s(literal 3 binary64))) (+.f64 (*.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 x) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 3 binary64))) (+.f64 (*.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))) (+.f64 (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) eps)) (+.f64 (*.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 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 (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (+.f64 (*.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)))))
(neg.f64 (*.f64 (-.f64 (-.f64 (neg.f64 x) eps) x) eps))
(neg.f64 (-.f64 (*.f64 (neg.f64 eps) eps) (*.f64 (+.f64 eps eps) x)))
(neg.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) eps) eps) (*.f64 eps x)))
(neg.f64 (*.f64 eps (-.f64 (-.f64 (neg.f64 x) eps) x)))
(-.f64 (*.f64 (+.f64 eps eps) x) (*.f64 (neg.f64 eps) eps))
(-.f64 (*.f64 eps eps) (*.f64 #s(literal -2 binary64) (*.f64 eps x)))
(-.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 eps eps) x) (*.f64 eps eps))
(+.f64 (*.f64 eps eps) (*.f64 (+.f64 eps eps) x))
(+.f64 (*.f64 eps x) (*.f64 (+.f64 eps x) eps))
(+.f64 (*.f64 (+.f64 eps x) eps) (*.f64 eps x))

eval18.0ms (0.8%)

Memory
3.9MiB live, 50.3MiB allocated; 2ms collecting garbage
Compiler

Compiled 5 407 to 948 computations (82.5% saved)

prune6.0ms (0.3%)

Memory
14.5MiB live, 14.5MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New2240224
Fresh000
Picked505
Done-550
Total2245229
Accuracy
100.0%
Counts
229 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f64 (*.f64 (+.f64 x eps) eps) (*.f64 x eps))
100.0%
(*.f64 (+.f64 (+.f64 x eps) x) eps)
62.8%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x))
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 x x) eps)))
74.8%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
Compiler

Compiled 67 to 44 computations (34.3% saved)

regimes38.0ms (1.8%)

Memory
-22.5MiB live, 85.2MiB allocated; 13ms collecting garbage
Counts
1 → 1
3 → 2
9 → 1
11 → 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 eps eps) x))
#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 eps eps) x))
#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 eps eps) x))
#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 eps (+.f64 (+.f64 x x) eps)))
(*.f64 (+.f64 (+.f64 x eps) x) eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(+.f64 (*.f64 (+.f64 x eps) eps) (*.f64 x eps))
(*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x))
(-.f64 (*.f64 eps (+.f64 (+.f64 eps x) x)) (*.f64 (-.f64 x x) (+.f64 x x)))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 x x) eps)))
Call 4
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x))
#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 eps (+.f64 (+.f64 x x) eps)))
(*.f64 (+.f64 (+.f64 x eps) x) eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(+.f64 (*.f64 (+.f64 x eps) eps) (*.f64 x eps))
(*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x))
(-.f64 (*.f64 eps (+.f64 (+.f64 eps x) x)) (*.f64 (-.f64 x x) (+.f64 x x)))
(-.f64 (*.f64 eps eps) (-.f64 (*.f64 (-.f64 x x) (+.f64 x x)) (*.f64 (+.f64 x x) eps)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Outputs
(-.f64 (*.f64 eps eps) (-.f64 (*.f64 (-.f64 x x) (+.f64 x x)) (*.f64 (+.f64 x x) eps)))
Calls

12 calls:

10.0ms
eps
4.0ms
x
4.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
3.0ms
eps
3.0ms
x
Results
AccuracySegmentsBranch
74.8%1eps
74.8%1x
74.8%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
96.7%2(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
91.8%3x
87.4%3eps
100.0%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
100.0%1x
100.0%1eps
100.0%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
100.0%1x
100.0%1eps
Compiler

Compiled 195 to 92 computations (52.8% saved)

bsearch0.0ms (0.0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
3.56418539385e-313
Compiler

Compiled 20 to 16 computations (20.0% saved)

derivations40.0ms (1.9%)

Memory
-16.9MiB live, 76.4MiB allocated; 3ms collecting garbage
Stop Event
done
Compiler

Compiled 99 to 33 computations (66.7% saved)

preprocess26.0ms (1.2%)

Memory
-5.8MiB live, 89.6MiB allocated; 7ms collecting garbage
Compiler

Compiled 108 to 40 computations (63.0% saved)

end0.0ms (0.0%)

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

Profiling

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