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

Time bar (total: 1.5s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×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)

sample930.0ms (60.9%)

Memory
-42.5MiB live, 1 000.0MiB allocated; 267ms collecting garbage
Samples
277.0ms2 451×1valid
268.0ms5 191×0valid
118.0ms614×2valid
Precisions
Click to see histograms. Total time spent on operations: 444.0ms
ival-pow2: 272.0ms (61.3% of total)
adjust: 105.0ms (23.7% of total)
ival-add!: 37.0ms (8.3% of total)
ival-sub!: 29.0ms (6.5% of total)
Bogosity

preprocess117.0ms (7.7%)

Memory
-11.6MiB live, 38.8MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02262
17454
233854
3166342
4577642
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶77.8%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Compiler

Compiled 18 to 14 computations (22.2% saved)

series10.0ms (0.6%)

Memory
12.5MiB live, 12.5MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

6 calls:

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

rewrite70.0ms (4.6%)

Memory
5.0MiB live, 50.6MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01123
16723
067423
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
7 → 129
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
(+.f64 x eps)
x
eps
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
Outputs
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 eps x) (+.f64 eps x)))) (+.f64 eps x)) (+.f64 eps x))
(*.f64 (+.f64 (+.f64 eps x) x) (-.f64 (+.f64 eps x) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (+.f64 eps x) (+.f64 eps x)))) (*.f64 (+.f64 eps x) (+.f64 eps x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 eps x) (+.f64 eps x)))) (*.f64 (+.f64 eps x) (+.f64 eps x)))
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x))))
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))))
(*.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 eps x) (+.f64 eps x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (neg.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)) (pow.f64 (+.f64 eps x) #s(literal 4 binary64))) (-.f64 (pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 x x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)) (pow.f64 (+.f64 eps x) #s(literal 4 binary64))))
(neg.f64 (*.f64 (+.f64 x (+.f64 eps x)) (-.f64 x (+.f64 eps x))))
(fma.f64 (*.f64 (+.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 1 binary64))) x (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) (+.f64 (/.f64 eps x) #s(literal 1 binary64))) (*.f64 x x) (*.f64 (neg.f64 x) x))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 x x))) (*.f64 x x) (fma.f64 eps eps (*.f64 (neg.f64 x) x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 x x))) (*.f64 x x) (-.f64 (*.f64 eps eps) (*.f64 x x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)))) (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)) (*.f64 (neg.f64 x) x))
(fma.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 (+.f64 eps x)) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) (+.f64 eps x)))
(fma.f64 (neg.f64 (+.f64 eps x)) (neg.f64 (+.f64 eps x)) (*.f64 (neg.f64 x) x))
(fma.f64 (exp.f64 (log.f64 (+.f64 eps x))) (exp.f64 (log.f64 (+.f64 eps x))) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x) (*.f64 (neg.f64 x) x))
(fma.f64 (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 eps x) (+.f64 eps x)))) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 eps x) (+.f64 eps x))))))
(fma.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) (*.f64 x (+.f64 eps x)) (*.f64 (neg.f64 x) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 eps x) (+.f64 eps x)))) (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 eps x) (+.f64 eps x)))) (*.f64 eps eps)))
(fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 (neg.f64 x) x))
(fma.f64 x (neg.f64 x) (*.f64 (+.f64 eps x) (+.f64 eps x)))
(-.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 x x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))))
(-.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (neg.f64 (*.f64 (neg.f64 x) x)))
(-.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 x x))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 eps x) (+.f64 eps x)))) (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 eps x) (+.f64 eps x)))) (*.f64 eps eps)))
(+.f64 (*.f64 (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 eps x) (+.f64 eps x))))) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 eps x) (+.f64 eps x))))))
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 (+.f64 eps x) (+.f64 eps x)))
(+.f64 (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)) (fma.f64 eps eps (*.f64 (neg.f64 x) x)))
(+.f64 (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)) (-.f64 (*.f64 eps eps) (*.f64 x x)))
(+.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 (+.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 1 binary64))) x)
(*.f64 (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) (+.f64 (/.f64 eps x) #s(literal 1 binary64))) (*.f64 x x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)))) (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)))
(*.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 (+.f64 eps x)))
(*.f64 (neg.f64 (+.f64 eps x)) (neg.f64 (+.f64 eps x)))
(*.f64 (exp.f64 (log.f64 (+.f64 eps x))) (exp.f64 (log.f64 (+.f64 eps x))))
(*.f64 (pow.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) (*.f64 x (+.f64 eps x)))
(*.f64 (+.f64 eps x) (+.f64 eps x))
(pow.f64 (exp.f64 (log.f64 (+.f64 eps x))) #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 eps x) (*.f64 (+.f64 eps x) (-.f64 x eps))) (-.f64 x eps))
(/.f64 (*.f64 (+.f64 eps x) (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (+.f64 eps x)) (-.f64 x eps))
(/.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (+.f64 eps x)) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)) (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (-.f64 (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)) (*.f64 eps eps)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps eps) #s(literal 3 binary64))) (fma.f64 (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)) (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)) (*.f64 eps eps)))))
(/.f64 (*.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (*.f64 (+.f64 eps x) (-.f64 x eps))) (*.f64 (-.f64 x eps) (-.f64 x eps)))
(/.f64 (*.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))) (*.f64 (-.f64 x eps) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (*.f64 (+.f64 eps x) (-.f64 x eps))) (*.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (-.f64 x eps)))
(/.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))) (*.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 x x))) (*.f64 x x) (*.f64 eps eps))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) x) eps (*.f64 eps eps)))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) x) eps (*.f64 eps eps)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (fma.f64 (*.f64 #s(literal 2 binary64) x) eps (*.f64 eps eps)))
(fma.f64 (pow.f64 eps #s(literal 1 binary64)) (pow.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 eps #s(literal 1 binary64)) eps (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (+.f64 eps x) eps (*.f64 (+.f64 eps x) x))
(fma.f64 (+.f64 eps x) x (*.f64 (+.f64 eps x) eps))
(fma.f64 eps (+.f64 eps x) (*.f64 x (+.f64 eps x)))
(fma.f64 eps eps (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 x (+.f64 eps x) (*.f64 eps (+.f64 eps x)))
(fma.f64 x x (fma.f64 (*.f64 #s(literal 2 binary64) x) eps (*.f64 eps eps)))
(-.f64 (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)) (neg.f64 (*.f64 eps eps)))
(fabs.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(+.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) x))
(+.f64 (*.f64 eps (+.f64 eps x)) (*.f64 x (+.f64 eps x)))
(+.f64 (*.f64 x (+.f64 eps x)) (*.f64 eps (+.f64 eps x)))
(+.f64 (fma.f64 eps eps (*.f64 (*.f64 eps x) #s(literal 2 binary64))) (*.f64 x x))
(+.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (*.f64 x (neg.f64 eps)))) (pow.f64 (neg.f64 eps) #s(literal 2 binary64)))
(+.f64 (*.f64 (+.f64 eps x) x) (*.f64 (+.f64 eps x) eps))
(+.f64 (cosh.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 2 binary64))))
(+.f64 (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)) (*.f64 eps eps))
(+.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)))
(+.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 2 binary64) x) eps (*.f64 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 (pow.f64 (+.f64 eps x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(*.f64 x (+.f64 (/.f64 eps x) #s(literal 1 binary64)))
(pow.f64 (+.f64 eps x) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (-.f64 eps x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 eps eps (*.f64 x (neg.f64 eps)))))
(/.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 x eps))) (neg.f64 (-.f64 x eps)))
(/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (*.f64 (+.f64 eps x) (-.f64 x eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps))
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x))))
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))
(neg.f64 (-.f64 (neg.f64 eps) x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))
(-.f64 eps (neg.f64 x))
(-.f64 x (neg.f64 eps))
(exp.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(+.f64 eps x)
(+.f64 x (neg.f64 (neg.f64 eps)))
(+.f64 x eps)
x
eps
#s(literal 2 binary64)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))

eval30.0ms (2%)

Memory
-11.2MiB live, 35.1MiB allocated; 4ms collecting garbage
Compiler

Compiled 2 927 to 491 computations (83.2% saved)

prune3.0ms (0.2%)

Memory
10.3MiB live, 10.3MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1434147
Fresh000
Picked101
Done000
Total1444148
Accuracy
100.0%
Counts
148 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶65.8%
(fma.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) (*.f64 x (+.f64 eps x)) (*.f64 (neg.f64 x) x))
▶100.0%
#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))))
▶100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
▶63.6%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
Compiler

Compiled 65 to 45 computations (30.8% saved)

series37.0ms (2.4%)

Memory
13.7MiB live, 65.2MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0134599
Stop Event
1×iter-limit
Counts
21 → 39
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)
#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))))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(fma.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) (*.f64 x (+.f64 eps x)) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 eps x) #s(literal 1 binary64))
(/.f64 eps x)
#s(literal 1 binary64)
(*.f64 x (+.f64 eps x))
(+.f64 eps x)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* 2 (* eps x)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
#s(approx (* eps x) (*.f64 eps x))
#s(approx x x)
#s(approx (+ eps (* 2 x)) eps)
#s(approx (+ eps (* 2 x)) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx (* 2 x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (/ eps x) 1) (/.f64 eps x))
#s(approx (+ (/ eps x) 1) (/.f64 (+.f64 eps x) x))
#s(approx (* x (+ eps x)) (*.f64 x (+.f64 eps x)))
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (* (neg x) x) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (+ eps (* 2 x)) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(approx (+ (/ eps x) 1) #s(literal 1 binary64))
#s(approx (+ (/ eps x) 1) (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
#s(approx (* x (+ eps x)) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* x (+ eps x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 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 (+ (* (+ (/ eps x) 1) (* x (+ eps x))) (* (neg x) x)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (+ (/ eps x) 1) (* x (+ eps x))) (* (neg x) x)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (* (+ (/ eps x) 1) (* x (+ eps x))) (* (neg x) x)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* x (+ eps x)) (fma.f64 eps x (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (+ eps (* 2 x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (+ (* (+ (/ eps x) 1) (* x (+ eps x))) (* (neg x) x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))))))))
#s(approx (+ (/ eps x) 1) (*.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* x (+ eps x)) (*.f64 eps (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) 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) 1) (* x (+ eps x))) (* (neg x) x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) eps))) eps)))))
#s(approx (* x (+ eps x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))))
#s(approx (+ eps x) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
Calls

6 calls:

TimeVariablePoint
14.0ms
eps
inf
7.0ms
eps
-inf
4.0ms
x
-inf
2.0ms
x
inf
2.0ms
x
0

rewrite80.0ms (5.3%)

Memory
0.7MiB live, 92.3MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025125
040117
1224117
02218112
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
21 → 416
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)
#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))))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(fma.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) (*.f64 x (+.f64 eps x)) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 eps x) #s(literal 1 binary64))
(/.f64 eps x)
#s(literal 1 binary64)
(*.f64 x (+.f64 eps x))
(+.f64 eps x)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps x) (*.f64 eps x))) (*.f64 eps x))
(*.f64 (+.f64 eps eps) x)
(*.f64 (+.f64 x x) eps)
(*.f64 (*.f64 eps x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 x x))
(*.f64 x (+.f64 eps eps))
(/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (*.f64 eps x) (*.f64 eps x))) (-.f64 (*.f64 eps x) (*.f64 eps x)))
(/.f64 (+.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps x) (*.f64 eps x) (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (*.f64 eps x) (*.f64 eps x)))))
(fma.f64 #s(literal 1 binary64) (*.f64 eps x) (*.f64 #s(literal 1 binary64) (*.f64 eps x)))
(fma.f64 (*.f64 eps x) #s(literal 1 binary64) (*.f64 (*.f64 eps x) #s(literal 1 binary64)))
(fma.f64 eps x (*.f64 eps x))
(fma.f64 x eps (*.f64 eps x))
(-.f64 (*.f64 eps x) (*.f64 (neg.f64 eps) x))
(-.f64 (*.f64 eps x) (*.f64 (neg.f64 x) eps))
(-.f64 (*.f64 eps x) (neg.f64 (*.f64 eps x)))
(+.f64 (*.f64 (*.f64 eps x) #s(literal 1 binary64)) (*.f64 (*.f64 eps x) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 eps x)) (*.f64 #s(literal 1 binary64) (*.f64 eps x)))
(+.f64 (*.f64 eps x) (*.f64 eps x))
#s(literal 2 binary64)
(*.f64 eps x)
(*.f64 x eps)
eps
x
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (*.f64 (fma.f64 eps (/.f64 eps (*.f64 (+.f64 eps eps) x)) #s(literal 1 binary64)) (+.f64 eps eps)) x)
(*.f64 (*.f64 (fma.f64 eps (/.f64 eps (*.f64 (+.f64 eps eps) x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 eps x))
(*.f64 (*.f64 (fma.f64 eps (/.f64 eps (*.f64 (+.f64 eps eps) x)) #s(literal 1 binary64)) (*.f64 eps x)) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 eps eps) x) (*.f64 eps eps))) (*.f64 eps eps))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 eps) eps) (*.f64 (+.f64 eps eps) x))) (*.f64 (+.f64 eps eps) x))
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) (*.f64 eps eps))
(*.f64 (fma.f64 eps (/.f64 eps (*.f64 (+.f64 eps eps) x)) #s(literal 1 binary64)) (*.f64 (+.f64 eps eps) x))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (-.f64 (*.f64 (+.f64 eps eps) x) (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 eps eps) x) (*.f64 eps eps))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) #s(literal 4 binary64)) (*.f64 (+.f64 eps eps) x) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) #s(literal 4 binary64) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 eps eps) x))))))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (*.f64 (+.f64 eps eps) x) (fma.f64 eps (/.f64 eps (*.f64 (+.f64 eps eps) x)) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (*.f64 eps (-.f64 (*.f64 eps eps) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (-.f64 (-.f64 eps x) x))
(/.f64 (*.f64 eps (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 eps eps) eps))) (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) eps) (*.f64 eps eps)))
(/.f64 (*.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 4 binary64) (*.f64 x x))) eps) (-.f64 (-.f64 eps x) x))
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 eps eps) eps)) eps) (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) eps) (*.f64 eps eps)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) #s(literal 4 binary64))) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 eps eps) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) #s(literal 4 binary64)) (*.f64 (+.f64 eps eps) x)) (pow.f64 (*.f64 (neg.f64 eps) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) #s(literal 4 binary64) (fma.f64 (*.f64 (*.f64 eps eps) eps) eps (*.f64 (*.f64 (+.f64 eps eps) x) (*.f64 (neg.f64 eps) eps)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (-.f64 (*.f64 (+.f64 eps eps) x) (*.f64 eps eps)))) (neg.f64 (-.f64 (*.f64 (+.f64 eps eps) x) (*.f64 eps eps))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) #s(literal 4 binary64)) (*.f64 (+.f64 eps eps) x) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 eps eps)))) (neg.f64 (fma.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) #s(literal 4 binary64) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 eps eps) x))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 eps x) (/.f64 eps x) (-.f64 #s(literal 1 binary64) (/.f64 eps x))) (fma.f64 (/.f64 (*.f64 eps eps) (*.f64 x x)) (/.f64 eps x) #s(literal 1 binary64))))
(/.f64 (+.f64 eps x) x)
(neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 eps x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) eps #s(literal 1 binary64))
(fma.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 eps x) #s(literal 1 binary64))
(fma.f64 (/.f64 eps x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 eps (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 eps (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 eps eps) (*.f64 x x)) (-.f64 (/.f64 eps x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 eps x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 eps x)))
(-.f64 (/.f64 eps x) #s(literal -1 binary64))
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 x x) x)) (fma.f64 (/.f64 eps x) (/.f64 eps x) (-.f64 #s(literal 1 binary64) (/.f64 eps x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 eps x) (/.f64 eps x) (-.f64 #s(literal 1 binary64) (/.f64 eps x)))))
(+.f64 #s(literal 1 binary64) (/.f64 eps x))
(+.f64 (/.f64 eps x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) eps)
(*.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 eps x))
(*.f64 (/.f64 eps x) #s(literal 1 binary64))
(*.f64 eps (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 eps (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 x eps) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (*.f64 eps #s(literal 1 binary64)) x)
(/.f64 (*.f64 (neg.f64 eps) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x))
(/.f64 (neg.f64 (neg.f64 eps)) x)
(/.f64 (+.f64 eps eps) (+.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x eps)))
(/.f64 (neg.f64 eps) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x eps))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) eps))
(/.f64 eps x)
(neg.f64 (/.f64 eps (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 eps) x))
#s(literal 1 binary64)
(*.f64 (*.f64 x (+.f64 (/.f64 x eps) #s(literal 1 binary64))) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 eps x))) (*.f64 eps x))
(*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) (*.f64 eps x))
(*.f64 (-.f64 (/.f64 eps x) #s(literal -1 binary64)) (*.f64 x x))
(*.f64 (+.f64 eps x) x)
(*.f64 x (+.f64 eps x))
(/.f64 (*.f64 x (*.f64 (+.f64 eps x) (-.f64 eps x))) (-.f64 eps x))
(/.f64 (*.f64 x (*.f64 (+.f64 eps x) (-.f64 x eps))) (-.f64 x eps))
(/.f64 (*.f64 x (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))
(/.f64 (*.f64 x (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (+.f64 eps x) (-.f64 eps x)) x) (-.f64 eps x))
(/.f64 (*.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) x) (-.f64 x eps))
(/.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) x) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))
(/.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) x) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 (*.f64 eps x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 eps x) (*.f64 eps x) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 eps x) (*.f64 x x)))))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 eps x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 eps x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 eps x))
(fma.f64 eps x (*.f64 x x))
(fma.f64 x eps (*.f64 x x))
(fma.f64 x x (*.f64 eps x))
(-.f64 (*.f64 eps x) (*.f64 (neg.f64 x) x))
(+.f64 (*.f64 eps x) (*.f64 x x))
(+.f64 (*.f64 x 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 (pow.f64 (+.f64 eps x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) #s(literal 1 binary64)) eps)
(*.f64 (pow.f64 (-.f64 (/.f64 eps x) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) (*.f64 (/.f64 eps x) x))
(*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps)
(*.f64 (*.f64 (+.f64 eps x) (-.f64 eps x)) (/.f64 #s(literal 1 binary64) (-.f64 eps x)))
(*.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(*.f64 (-.f64 (/.f64 eps x) #s(literal -1 binary64)) x)
(*.f64 eps (+.f64 (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 eps x) #s(literal -1 binary64)))
(pow.f64 (+.f64 eps x) #s(literal 1 binary64))
(/.f64 (*.f64 (fma.f64 (/.f64 eps x) (/.f64 eps x) #s(literal -1 binary64)) x) (-.f64 (/.f64 eps x) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) (*.f64 x x)) (/.f64 eps x) #s(literal 1 binary64)) x) (fma.f64 (/.f64 eps x) (/.f64 eps x) (-.f64 #s(literal 1 binary64) (/.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 eps (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 eps eps (*.f64 x (neg.f64 eps)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 eps x)) (-.f64 eps x))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps))
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps x) (*.f64 (+.f64 eps x) (-.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (*.f64 (+.f64 eps x) (-.f64 x eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))))
(neg.f64 (-.f64 (neg.f64 x) eps))
(neg.f64 (-.f64 (neg.f64 eps) x))
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps x)) (/.f64 (*.f64 x x) (-.f64 eps x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))
(-.f64 eps (neg.f64 x))
(-.f64 x (neg.f64 eps))
(exp.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(+.f64 eps x)
(+.f64 x (neg.f64 (neg.f64 eps)))
(+.f64 x eps)
(*.f64 (neg.f64 x) x)
(*.f64 x (neg.f64 x))
(neg.f64 (*.f64 x x))
(neg.f64 x)

eval50.0ms (3.2%)

Memory
3.1MiB live, 93.3MiB allocated; 25ms collecting garbage
Compiler

Compiled 9 022 to 1 251 computations (86.1% saved)

prune12.0ms (0.8%)

Memory
-19.6MiB live, 25.7MiB allocated; 6ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3715376
Fresh000
Picked404
Done000
Total3755380
Accuracy
100.0%
Counts
380 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 (+.f64 eps eps) x)))
▶100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
▶63.6%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
▶100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x)))
▶75.9%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
Compiler

Compiled 170 to 110 computations (35.3% saved)

series11.0ms (0.7%)

Memory
37.5MiB live, 37.5MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078280
Stop Event
1×iter-limit
Counts
20 → 21
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 (+.f64 eps eps) x)))
(fma.f64 eps eps (*.f64 (+.f64 eps eps) x))
eps
(*.f64 (+.f64 eps eps) x)
(+.f64 eps eps)
x
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
(*.f64 eps #s(approx (+ eps (* 2 x)) eps))
#s(approx (+ eps (* 2 x)) eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
(*.f64 (+.f64 x x) eps)
(+.f64 x x)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (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 (* (+ eps eps) x) (*.f64 #s(literal 2 binary64) (*.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 (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (+ 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 (+ 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 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
1.0ms
eps
-inf
1.0ms
x
-inf
1.0ms
x
inf
1.0ms
eps
inf
1.0ms
eps
0

rewrite39.0ms (2.5%)

Memory
-16.9MiB live, 75.8MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026153
038147
0215147
Stop Event
1×iter-limit
1×iter-limit
1×iter-limit
1×unsound
1×iter-limit
Counts
20 → 106
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 (+.f64 eps eps) x)))
(fma.f64 eps eps (*.f64 (+.f64 eps eps) x))
eps
(*.f64 (+.f64 eps eps) x)
(+.f64 eps eps)
x
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
(*.f64 eps #s(approx (+ eps (* 2 x)) eps))
#s(approx (+ eps (* 2 x)) eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
(*.f64 (+.f64 x x) eps)
(+.f64 x x)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (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)) (fma.f64 eps eps (*.f64 (+.f64 eps eps) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 eps eps) x) (*.f64 eps eps))) (*.f64 eps 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 (pow.f64 (*.f64 eps eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 eps eps) x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps eps) (*.f64 eps eps) (-.f64 (*.f64 (*.f64 (+.f64 eps eps) x) (*.f64 (+.f64 eps eps) x)) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 eps eps) x)))))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (*.f64 (+.f64 eps eps) x))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 (+.f64 eps eps) x))
(fma.f64 (+.f64 eps eps) x (*.f64 eps eps))
(fma.f64 eps eps (*.f64 (+.f64 eps eps) x))
(fma.f64 x (+.f64 eps eps) (*.f64 eps eps))
(-.f64 (*.f64 eps eps) (*.f64 (neg.f64 (+.f64 eps eps)) x))
(-.f64 (*.f64 eps eps) (neg.f64 (*.f64 (+.f64 eps eps) x)))
(+.f64 (*.f64 eps eps) (*.f64 (+.f64 eps eps) x))
(+.f64 (*.f64 (+.f64 eps eps) x) (*.f64 eps eps))
eps
(*.f64 (+.f64 eps eps) x)
(*.f64 x (+.f64 eps eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps eps)) eps)
(*.f64 #s(literal 2 binary64) 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))))
(-.f64 eps (neg.f64 eps))
(+.f64 eps eps)
x
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(approx (+ eps (* 2 x)) eps) eps))
(*.f64 #s(approx (+ eps (* 2 x)) eps) eps)
(*.f64 eps #s(approx (+ eps (* 2 x)) eps))
#s(approx (+ eps (* 2 x)) eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
(*.f64 (+.f64 x x) eps)
(*.f64 eps (+.f64 x x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x)) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.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))))
(-.f64 x (neg.f64 x))
(+.f64 x x)
#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)
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (+.f64 eps x) eps (*.f64 x eps))
(fma.f64 eps (+.f64 eps x) (*.f64 eps x))
(+.f64 (*.f64 eps (+.f64 eps x)) (*.f64 eps x))
(+.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps (+.f64 x x))) (+.f64 x x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) eps)) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 eps x))) (+.f64 eps x))
(/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 eps eps)) (-.f64 (+.f64 x x) eps))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) (+.f64 x x))) (-.f64 eps (+.f64 x x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (+.f64 x x) (+.f64 x x) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 x x) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 (+.f64 x x) eps))))
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (-.f64 (*.f64 x x) (*.f64 (+.f64 eps x) x))))
(/.f64 (-.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 x x)) (-.f64 (+.f64 eps x) x))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps x)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x)) 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 eps (neg.f64 (+.f64 x x)))
(+.f64 (+.f64 eps x) x)
(+.f64 (+.f64 x x) eps)
(+.f64 eps (+.f64 x x))
(+.f64 x (+.f64 eps x))
#s(literal 2 binary64)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (+.f64 eps x) eps (*.f64 x eps))
(fma.f64 eps (+.f64 eps x) (*.f64 eps x))
(+.f64 (*.f64 eps (+.f64 eps x)) (*.f64 eps x))
(+.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps (+.f64 x x))) (+.f64 x x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) eps)) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 eps x))) (+.f64 eps x))
(/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 eps eps)) (-.f64 (+.f64 x x) eps))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) (+.f64 x x))) (-.f64 eps (+.f64 x x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (+.f64 x x) (+.f64 x x) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 x x) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 (+.f64 x x) eps))))
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (-.f64 (*.f64 x x) (*.f64 (+.f64 eps x) x))))
(/.f64 (-.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 x x)) (-.f64 (+.f64 eps x) x))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps x)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x)) 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 eps (neg.f64 (+.f64 x x)))
(+.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 x eps)) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x)
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (-.f64 eps x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (-.f64 x eps))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 eps eps) (*.f64 x eps))))
(-.f64 eps (neg.f64 x))
(-.f64 x (neg.f64 eps))
(+.f64 eps x)
(+.f64 x eps)

eval8.0ms (0.5%)

Memory
28.2MiB live, 28.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 877 to 381 computations (79.7% saved)

prune15.0ms (1%)

Memory
-35.9MiB live, 12.0MiB allocated; 13ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New84084
Fresh000
Picked055
Done000
Total84589
Accuracy
100.0%
Counts
89 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 (+.f64 eps eps) x)))
✓100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
✓63.6%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
✓100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x)))
✓75.9%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
Compiler

Compiled 85 to 55 computations (35.3% saved)

regimes28.0ms (1.9%)

Memory
28.2MiB live, 72.9MiB allocated; 7ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
3 → 2
6 → 1
10 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
Call 2
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
Call 3
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
Call 4
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 (+.f64 eps eps) x)))
(fma.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) (*.f64 x (+.f64 eps x)) (*.f64 (neg.f64 x) x))
#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))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 (+.f64 eps eps) x)))
Calls

12 calls:

6.0ms
x
3.0ms
x
3.0ms
eps
2.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
2.0ms
eps
Results
AccuracySegmentsBranch
75.9%1eps
75.9%1x
75.9%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
98.3%2(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
93.6%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 203 to 92 computations (54.7% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
1.571386e-317
Compiler

Compiled 12 to 12 computations (0% saved)

derivations28.0ms (1.9%)

Memory
8.5MiB live, 53.3MiB allocated; 7ms collecting garbage
Stop Event
1×done
Compiler

Compiled 99 to 30 computations (69.7% saved)

preprocess58.0ms (3.8%)

Memory
-11.0MiB live, 80.2MiB allocated; 60ms collecting garbage
Compiler

Compiled 108 to 37 computations (65.7% saved)

end0.0ms (0%)

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

Profiling

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