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

Time bar (total: 2.8s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25.7%74.3%0%0%0%0
100%25.7%0%74.3%0%0%0%1
Compiler

Compiled 25 to 18 computations (28% saved)

sample1.2s (44.9%)

Memory
64.2MiB live, 1 894.8MiB allocated; 312ms collecting garbage
Samples
423.0ms5 169×0valid
378.0ms2 518×1valid
159.0ms569×2valid
Precisions
Click to see histograms. Total time spent on operations: 613.0ms
ival-pow2: 304.0ms (49.6% of total)
ival-add: 133.0ms (21.7% of total)
adjust: 110.0ms (18% of total)
ival-sub: 62.0ms (10.1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain113.0ms (4.1%)

Memory
-1.8MiB live, 240.4MiB allocated; 21ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
671(2.9593877460962187e-156 -9.424644742707557e-163)0-(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
00-0-eps
00-0-(pow.f64 x #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
00-0-(+.f64 x eps)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))cancellation680
Confusion
Predicted +Predicted -
+670
-1188
Precision
0.9852941176470589
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6700
-10188
Precision?
0.9852941176470589
Recall?
1.0
Freqs
test
numberfreq
0188
168
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
25.0ms334×0valid
24.0ms152×1valid
5.0ms26×2valid
Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-pow2: 21.0ms (58.5% of total)
adjust: 6.0ms (16.7% of total)
ival-add: 4.0ms (11.1% of total)
ival-sub: 4.0ms (11.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess236.0ms (8.5%)

Memory
-28.5MiB live, 133.8MiB allocated; 101ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02264
13460
211860
355358
4177144
5531444
079
0119
1169
2449
31579
45707
518127
085886
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Outputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.4%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

series6.0ms (0.2%)

Memory
5.4MiB live, 5.4MiB allocated; 0ms collecting garbage
Counts
7 → 29
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)) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (pow eps 2)))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* x (+ x (* 2 eps))) (pow eps 2))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (pow x 2) #s(hole binary64 (pow x 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ eps x))))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2)))))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* 2 (* eps x)) (pow x 2))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* eps (+ eps (* 2 x))) (pow x 2))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
Calls

6 calls:

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

rewrite225.0ms (8.2%)

Memory
-11.0MiB live, 185.5MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105456
0110446
1557431
05462412
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
36 → 120
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))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (pow eps 2)))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* x (+ x (* 2 eps))) (pow eps 2))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (pow x 2) #s(hole binary64 (pow x 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ eps x))))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2)))))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* 2 (* eps x)) (pow x 2))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* eps (+ eps (* 2 x))) (pow x 2))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
Outputs
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 (+.f64 eps x) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (pow.f64 (+.f64 eps x) #s(literal 4 binary64))))
(fma.f64 (neg.f64 (+.f64 eps x)) (neg.f64 (+.f64 eps 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 (exp.f64 (log.f64 (+.f64 eps x))) (exp.f64 (log.f64 (+.f64 eps x))) (*.f64 (neg.f64 x) x))
(fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 (neg.f64 x) x))
(-.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x x))
(+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 (+.f64 eps x)) (neg.f64 (+.f64 eps x)))
(*.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 (+.f64 eps x)))
(*.f64 (exp.f64 (log.f64 (+.f64 eps x))) (exp.f64 (log.f64 (+.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 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (+.f64 eps x) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x x (*.f64 (neg.f64 eps) eps)) (+.f64 eps x)) (-.f64 x eps))
(/.f64 (*.f64 (fma.f64 eps eps (*.f64 (neg.f64 x) x)) (+.f64 eps x)) (-.f64 eps x))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 eps x)) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 eps x)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))
(/.f64 (*.f64 (+.f64 eps x) (fma.f64 x x (*.f64 (neg.f64 eps) eps))) (-.f64 x eps))
(/.f64 (*.f64 (+.f64 eps x) (fma.f64 eps eps (*.f64 (neg.f64 x) x))) (-.f64 eps x))
(/.f64 (*.f64 (+.f64 eps x) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))
(/.f64 (*.f64 (+.f64 eps x) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))
(/.f64 (*.f64 (fma.f64 x x (*.f64 (neg.f64 eps) eps)) (fma.f64 x x (*.f64 (neg.f64 eps) eps))) (*.f64 (-.f64 x eps) (-.f64 x eps)))
(/.f64 (*.f64 (fma.f64 x x (*.f64 (neg.f64 eps) eps)) (fma.f64 eps eps (*.f64 (neg.f64 x) x))) (*.f64 (-.f64 x eps) (-.f64 eps x)))
(/.f64 (*.f64 (fma.f64 x x (*.f64 (neg.f64 eps) eps)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 x eps) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 x x (*.f64 (neg.f64 eps) eps)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 x eps) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(/.f64 (*.f64 (fma.f64 eps eps (*.f64 (neg.f64 x) x)) (fma.f64 x x (*.f64 (neg.f64 eps) eps))) (*.f64 (-.f64 eps x) (-.f64 x eps)))
(/.f64 (*.f64 (fma.f64 eps eps (*.f64 (neg.f64 x) x)) (fma.f64 eps eps (*.f64 (neg.f64 x) x))) (*.f64 (-.f64 eps x) (-.f64 eps x)))
(/.f64 (*.f64 (fma.f64 eps eps (*.f64 (neg.f64 x) x)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 eps x) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 eps eps (*.f64 (neg.f64 x) x)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 eps x) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (neg.f64 eps) eps))) (*.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (-.f64 x eps)))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (neg.f64 eps) eps))) (*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (-.f64 x eps)))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (*.f64 (neg.f64 x) x))) (*.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (-.f64 eps x)))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (*.f64 (neg.f64 x) x))) (*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (-.f64 eps x)))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(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 x (+.f64 eps x) (*.f64 eps (+.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(+.f64 (*.f64 eps (+.f64 eps x)) (*.f64 x (+.f64 eps x)))
(+.f64 (*.f64 x (+.f64 eps x)) (*.f64 eps (+.f64 eps x)))
(+.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) x))
(+.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 (pow.f64 (+.f64 eps x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 1/2 binary64)))
(pow.f64 (+.f64 eps x) #s(literal 1 binary64))
(/.f64 (neg.f64 (fma.f64 x x (*.f64 (neg.f64 eps) eps))) (neg.f64 (-.f64 x eps)))
(/.f64 (neg.f64 (fma.f64 eps eps (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 eps x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 eps) eps)) (-.f64 x eps))
(/.f64 (fma.f64 eps eps (*.f64 (neg.f64 x) x)) (-.f64 eps x))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 eps x) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps x)) (/.f64 (*.f64 x x) (-.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(+.f64 eps x)
(+.f64 x eps)
x
eps
#s(literal 2 binary64)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.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))
(/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(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))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
#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) (*.f64 eps eps))
#s(approx (pow (+ x eps) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (pow (+ x eps) 2) (fma.f64 (fma.f64 #s(literal 2 binary64) eps x) x (*.f64 eps eps)))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx x x)
#s(approx (pow x 2) (*.f64 x x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) eps (/.f64 (*.f64 eps eps) x)) x))
#s(approx (pow (+ x eps) 2) (*.f64 x x))
#s(approx (pow (+ x eps) 2) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 2 binary64) #s(literal 1 binary64)) x) x))
#s(approx (pow (+ x eps) 2) (*.f64 (*.f64 (-.f64 (fma.f64 (/.f64 eps x) #s(literal 2 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal -1 binary64)) x) x))
#s(approx (+ x eps) x)
#s(approx (+ x eps) (fma.f64 (/.f64 eps x) x x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 eps (/.f64 eps x) (neg.f64 (*.f64 #s(literal -2 binary64) eps))) x))
#s(approx (pow (+ x eps) 2) (*.f64 (*.f64 (-.f64 (fma.f64 (/.f64 eps x) #s(literal 2 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal -1 binary64)) x) x))
#s(approx (+ x eps) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -1 binary64))))
#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) (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x))
#s(approx (pow (+ x eps) 2) (fma.f64 (fma.f64 #s(literal 2 binary64) eps x) x (*.f64 eps eps)))
#s(approx eps eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
#s(approx (pow (+ x eps) 2) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
#s(approx (pow (+ x eps) 2) (*.f64 (*.f64 (-.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (pow.f64 (/.f64 x eps) #s(literal 2 binary64))) #s(literal -1 binary64)) eps) eps))
#s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))
#s(approx (pow (+ x eps) 2) (*.f64 (*.f64 (-.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (pow.f64 (/.f64 x eps) #s(literal 2 binary64))) #s(literal -1 binary64)) eps) eps))
#s(approx (+ x eps) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -1 binary64) #s(literal -1 binary64))))

eval11.0ms (0.4%)

Memory
9.8MiB live, 9.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 157 to 390 computations (81.9% saved)

prune5.0ms (0.2%)

Memory
6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1145119
Fresh000
Picked101
Done000
Total1155120
Accuracy
100.0%
Counts
120 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.6%
(fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 (neg.f64 x) x))
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
99.9%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) eps (/.f64 (*.f64 eps eps) x)) x))
65.9%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
73.8%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
Compiler

Compiled 150 to 100 computations (33.3% saved)

series17.0ms (0.6%)

Memory
11.0MiB live, 11.0MiB allocated; 0ms collecting garbage
Counts
19 → 60
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
x
eps
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
(*.f64 eps eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(*.f64 (*.f64 eps x) #s(literal 2 binary64))
(*.f64 eps x)
(fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 (neg.f64 x) x))
(+.f64 eps x)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) eps (/.f64 (*.f64 eps eps) x)) x))
(*.f64 (fma.f64 #s(literal 2 binary64) eps (/.f64 (*.f64 eps eps) x)) x)
(fma.f64 #s(literal 2 binary64) eps (/.f64 (*.f64 eps eps) x))
(/.f64 (*.f64 eps eps) x)
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 eps))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (+ eps (* 2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* (* eps x) 2) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* eps x) #s(hole binary64 (* eps x)))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (* (neg x) x) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* (+ (* 2 eps) (/ (* eps eps) x)) x) #s(hole binary64 (pow eps 2)))
#s(approx (* (+ (* 2 eps) (/ (* eps eps) x)) x) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (+ (* 2 eps) (/ (* eps eps) x)) #s(hole binary64 (/ (pow eps 2) x)))
#s(approx (+ (* 2 eps) (/ (* eps eps) x)) #s(hole binary64 (/ (+ (* 2 (* eps x)) (pow eps 2)) x)))
#s(approx (/ (* eps eps) x) #s(hole binary64 (/ (pow eps 2) x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* 2 x)))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (* (+ (* 2 eps) (/ (* eps eps) x)) x) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* (+ (* 2 eps) (/ (* eps eps) x)) x) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (* 2 eps) (/ (* eps eps) x)) #s(hole binary64 (* 2 eps)))
#s(approx (+ (* 2 eps) (/ (* eps eps) x)) #s(hole binary64 (+ (* 2 eps) (/ (pow eps 2) x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* (+ (* 2 eps) (/ (* eps eps) x)) x) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx eps #s(hole binary64 eps))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (+ (* -1 (pow x 2)) (pow x 2))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (+ (* -1 (pow x 2)) (+ (* 2 (* eps x)) (pow x 2)))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (+ (* -1 (pow x 2)) (+ (* eps (+ eps (* 2 x))) (pow x 2)))))
#s(approx (* (+ (* 2 eps) (/ (* eps eps) x)) x) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (+ (* 2 eps) (/ (* eps eps) x)) #s(hole binary64 (* eps (+ 2 (/ eps x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (* (+ (* 2 eps) (/ (* eps eps) x)) x) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* 2 eps) (/ (* eps eps) x)) #s(hole binary64 (* (pow eps 2) (+ (* 2 (/ 1 eps)) (/ 1 x)))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps))))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (+ eps x) (* (neg x) x) (neg x) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 eps) (/ (* eps eps) x)) x) (+ (* 2 eps) (/ (* eps eps) x)) (/ (* eps eps) x))
3.0ms
eps
@-inf
((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (+ eps x) (* (neg x) x) (neg x) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 eps) (/ (* eps eps) x)) x) (+ (* 2 eps) (/ (* eps eps) x)) (/ (* eps eps) x))
2.0ms
eps
@inf
((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (+ eps x) (* (neg x) x) (neg x) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 eps) (/ (* eps eps) x)) x) (+ (* 2 eps) (/ (* eps eps) x)) (/ (* eps eps) x))
2.0ms
x
@inf
((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (+ eps x) (* (neg x) x) (neg x) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 eps) (/ (* eps eps) x)) x) (+ (* 2 eps) (/ (* eps eps) x)) (/ (* eps eps) x))
2.0ms
x
@0
((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (+ eps x) (* (neg x) x) (neg x) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 eps) (/ (* eps eps) x)) x) (+ (* 2 eps) (/ (* eps eps) x)) (/ (* eps eps) x))

rewrite206.0ms (7.5%)

Memory
-21.9MiB live, 115.1MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01691104
01861002
1767969
06695957
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
79 → 356
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
x
eps
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
(*.f64 eps eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(*.f64 (*.f64 eps x) #s(literal 2 binary64))
(*.f64 eps x)
(fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 (neg.f64 x) x))
(+.f64 eps x)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) eps (/.f64 (*.f64 eps eps) x)) x))
(*.f64 (fma.f64 #s(literal 2 binary64) eps (/.f64 (*.f64 eps eps) x)) x)
(fma.f64 #s(literal 2 binary64) eps (/.f64 (*.f64 eps eps) x))
(/.f64 (*.f64 eps eps) x)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 eps))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (+ eps (* 2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* (* eps x) 2) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* eps x) #s(hole binary64 (* eps x)))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (* (neg x) x) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* (+ (* 2 eps) (/ (* eps eps) x)) x) #s(hole binary64 (pow eps 2)))
#s(approx (* (+ (* 2 eps) (/ (* eps eps) x)) x) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (+ (* 2 eps) (/ (* eps eps) x)) #s(hole binary64 (/ (pow eps 2) x)))
#s(approx (+ (* 2 eps) (/ (* eps eps) x)) #s(hole binary64 (/ (+ (* 2 (* eps x)) (pow eps 2)) x)))
#s(approx (/ (* eps eps) x) #s(hole binary64 (/ (pow eps 2) x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* 2 x)))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (* (+ (* 2 eps) (/ (* eps eps) x)) x) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* (+ (* 2 eps) (/ (* eps eps) x)) x) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (* 2 eps) (/ (* eps eps) x)) #s(hole binary64 (* 2 eps)))
#s(approx (+ (* 2 eps) (/ (* eps eps) x)) #s(hole binary64 (+ (* 2 eps) (/ (pow eps 2) x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* (+ (* 2 eps) (/ (* eps eps) x)) x) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx eps #s(hole binary64 eps))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (+ (* -1 (pow x 2)) (pow x 2))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (+ (* -1 (pow x 2)) (+ (* 2 (* eps x)) (pow x 2)))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (+ (* -1 (pow x 2)) (+ (* eps (+ eps (* 2 x))) (pow x 2)))))
#s(approx (* (+ (* 2 eps) (/ (* eps eps) x)) x) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (+ (* 2 eps) (/ (* eps eps) x)) #s(hole binary64 (* eps (+ 2 (/ eps x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (* (+ (* 2 eps) (/ (* eps eps) x)) x) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* 2 eps) (/ (* eps eps) x)) #s(hole binary64 (* (pow eps 2) (+ (* 2 (/ 1 eps)) (/ 1 x)))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps))))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
Outputs
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (*.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))
(/.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 4 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps)) eps) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) eps) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (*.f64 eps eps)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) eps) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 eps (-.f64 (-.f64 eps x) x))))
(/.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 4 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps))) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))
(/.f64 (*.f64 eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (*.f64 eps eps)))
(/.f64 (*.f64 eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 eps (-.f64 (-.f64 eps x) x))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 eps (-.f64 (-.f64 eps x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (neg.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 eps eps) (*.f64 eps (-.f64 (-.f64 eps x) x)) (pow.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 6 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) eps) eps))))
(/.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 (*.f64 eps eps) (*.f64 eps (-.f64 (-.f64 eps x) x)) (pow.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 (*.f64 (fabs.f64 eps) #s(literal 1 binary64)) (*.f64 (fabs.f64 eps) #s(literal 1 binary64)) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 eps)) (*.f64 #s(literal 1 binary64) (fabs.f64 eps)) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 eps)) (fabs.f64 eps) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (neg.f64 eps) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 eps)) (fabs.f64 (fabs.f64 eps)) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) #s(literal 1 binary64)) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) eps) x (*.f64 eps eps))
(fma.f64 (+.f64 eps x) eps (*.f64 eps x))
(fma.f64 (*.f64 #s(literal 2 binary64) x) eps (*.f64 eps eps))
(fma.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 eps eps))
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 eps eps))
(fma.f64 (*.f64 eps eps) #s(literal 1 binary64) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 eps x)) (*.f64 eps eps))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps (+.f64 eps x) (*.f64 eps x))
(fma.f64 eps (*.f64 #s(literal 2 binary64) x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 eps x (*.f64 (+.f64 eps x) eps))
(fma.f64 x (*.f64 #s(literal 2 binary64) eps) (*.f64 eps eps))
(fma.f64 x eps (*.f64 (+.f64 eps x) eps))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps))) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps))))
(-.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (neg.f64 eps) eps))
(-.f64 (*.f64 eps eps) (*.f64 (neg.f64 (*.f64 eps x)) #s(literal 2 binary64)))
(-.f64 (*.f64 eps eps) (*.f64 (neg.f64 eps) (*.f64 #s(literal 2 binary64) x)))
(-.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal -2 binary64) x) eps))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 eps eps) (*.f64 eps (-.f64 (-.f64 eps x) x)) (pow.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (*.f64 eps eps) (*.f64 eps (-.f64 (-.f64 eps x) x)) (pow.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (+.f64 eps x) eps) (*.f64 eps x))
(+.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 eps eps))
(+.f64 (*.f64 eps x) (*.f64 (+.f64 eps x) eps))
(+.f64 (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (*.f64 eps eps)))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 (-.f64 eps x) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (*.f64 eps eps))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 eps (-.f64 (-.f64 eps x) x)))))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 (-.f64 eps x) x))
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps)) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (*.f64 eps eps)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 eps (-.f64 (-.f64 eps x) x))))
(fma.f64 (pow.f64 (+.f64 eps x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 (-.f64 eps x) x)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (-.f64 eps x) x)))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (/.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(-.f64 eps (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(-.f64 eps (*.f64 #s(literal -2 binary64) x))
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (*.f64 eps eps))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (*.f64 eps eps))))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 eps (-.f64 (-.f64 eps x) x)))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 eps (-.f64 (-.f64 eps x) x)))))
(+.f64 (+.f64 eps x) x)
(+.f64 (*.f64 #s(literal 2 binary64) x) eps)
(+.f64 eps (*.f64 (neg.f64 x) #s(literal -2 binary64)))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(+.f64 x (+.f64 eps x))
#s(literal 2 binary64)
x
eps
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (*.f64 eps eps))
(*.f64 (*.f64 (fabs.f64 eps) #s(literal 1 binary64)) (*.f64 (fabs.f64 eps) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 eps)) (*.f64 #s(literal 1 binary64) (fabs.f64 eps)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 eps)) (fabs.f64 eps))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 #s(literal 1 binary64) (neg.f64 eps)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (neg.f64 eps))
(*.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)))
(*.f64 (fabs.f64 (fabs.f64 eps)) (fabs.f64 (fabs.f64 eps)))
(*.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)))
(*.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) #s(literal 1 binary64)))
(*.f64 (fabs.f64 eps) (fabs.f64 eps))
(*.f64 #s(literal 1 binary64) (*.f64 eps eps))
(*.f64 (*.f64 eps eps) #s(literal 1 binary64))
(*.f64 eps eps)
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 2 binary64))
(pow.f64 (neg.f64 eps) #s(literal 2 binary64))
(pow.f64 (fabs.f64 eps) #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 eps #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps eps)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 eps) eps))
(fabs.f64 (*.f64 eps eps))
(exp.f64 (fma.f64 (log.f64 eps) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 eps) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 (*.f64 #s(literal 2 binary64) x) eps)
(*.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 eps x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 eps x)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 x (*.f64 #s(literal 2 binary64) 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 #s(literal 1 binary64) (*.f64 eps x)) (*.f64 #s(literal 1 binary64) (*.f64 eps x)))
(+.f64 (*.f64 (*.f64 eps x) #s(literal 1 binary64)) (*.f64 (*.f64 eps x) #s(literal 1 binary64)))
(+.f64 (*.f64 eps x) (*.f64 eps x))
(*.f64 eps x)
(*.f64 x eps)
(*.f64 (+.f64 (neg.f64 (+.f64 eps x)) x) (-.f64 (neg.f64 (+.f64 eps x)) x))
(*.f64 (+.f64 (fabs.f64 (+.f64 eps x)) x) (-.f64 (fabs.f64 (+.f64 eps x)) x))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 (+.f64 eps x) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 eps x) #s(literal 4 binary64))) (-.f64 (*.f64 (neg.f64 x) x) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
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(*.f64 (neg.f64 eps) (/.f64 eps (neg.f64 x)))
(*.f64 (fabs.f64 eps) (/.f64 (fabs.f64 eps) x))
(*.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 eps eps))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps eps) x))
(*.f64 (/.f64 eps x) eps)
(*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 1 binary64))
(*.f64 (*.f64 eps eps) (pow.f64 x #s(literal -1 binary64)))
(*.f64 eps (*.f64 eps (pow.f64 x #s(literal -1 binary64))))
(*.f64 eps (/.f64 eps x))
(/.f64 (/.f64 (*.f64 (neg.f64 eps) eps) #s(literal -1 binary64)) x)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 eps) eps)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 eps) eps)) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps eps)) (*.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 (neg.f64 eps) eps) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 eps) (/.f64 eps x)) #s(literal -1 binary64))
(/.f64 (*.f64 eps eps) x)
(neg.f64 (*.f64 (neg.f64 eps) (/.f64 eps x)))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (*.f64 eps eps))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 eps eps))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (* 2 x) eps) eps)
#s(approx (+ (* 2 x) eps) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx x x)
#s(approx (* (* eps x) 2) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
#s(approx (* eps x) (*.f64 eps x))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (*.f64 eps eps))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (* (neg x) x) (*.f64 (neg.f64 x) x))
#s(approx (neg x) (neg.f64 x))
#s(approx (* (+ (* 2 eps) (/ (* eps eps) x)) x) (*.f64 eps eps))
#s(approx (* (+ (* 2 eps) (/ (* eps eps) x)) x) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (* 2 eps) (/ (* eps eps) x)) (/.f64 (*.f64 eps eps) x))
#s(approx (+ (* 2 eps) (/ (* eps eps) x)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 eps x)))
#s(approx (/ (* eps eps) x) (/.f64 (*.f64 eps eps) x))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (*.f64 (*.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) x) eps))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 (*.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) x) eps))
#s(approx (+ (* 2 x) eps) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* 2 x) eps) (*.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) x))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (*.f64 (*.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) x) eps))
#s(approx (+ eps x) x)
#s(approx (+ eps x) (fma.f64 (/.f64 eps x) x x))
#s(approx (* (+ (* 2 eps) (/ (* eps eps) x)) x) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
#s(approx (* (+ (* 2 eps) (/ (* eps eps) x)) x) (*.f64 (*.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) x) eps))
#s(approx (+ (* 2 eps) (/ (* eps eps) x)) (*.f64 #s(literal 2 binary64) eps))
#s(approx (+ (* 2 eps) (/ (* eps eps) x)) (*.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) eps))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (*.f64 (fma.f64 (neg.f64 eps) (/.f64 eps x) (*.f64 #s(literal -2 binary64) eps)) (neg.f64 x)))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 (fma.f64 (neg.f64 eps) (/.f64 eps x) (*.f64 #s(literal -2 binary64) eps)) (neg.f64 x)))
#s(approx (+ (* 2 x) eps) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 x)))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (*.f64 (fma.f64 (neg.f64 eps) (/.f64 eps x) (*.f64 #s(literal -2 binary64) eps)) (neg.f64 x)))
#s(approx (+ eps x) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)))
#s(approx (* (+ (* 2 eps) (/ (* eps eps) x)) x) (*.f64 (fma.f64 (neg.f64 eps) (/.f64 eps x) (*.f64 #s(literal -2 binary64) eps)) (neg.f64 x)))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx eps eps)
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(literal 0 binary64))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (fma.f64 (*.f64 #s(literal 2 binary64) eps) x #s(literal 0 binary64)))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps #s(literal 0 binary64)))
#s(approx (* (+ (* 2 eps) (/ (* eps eps) x)) x) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (* 2 eps) (/ (* eps eps) x)) (*.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) eps))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
#s(approx (+ (* 2 x) eps) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (*.f64 (-.f64 (-.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (pow.f64 (/.f64 x eps) #s(literal 2 binary64))) (pow.f64 (/.f64 x eps) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 eps eps)))
#s(approx (+ eps x) (fma.f64 (/.f64 x eps) eps eps))
#s(approx (* (+ (* 2 eps) (/ (* eps eps) x)) x) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
#s(approx (+ (* 2 eps) (/ (* eps eps) x)) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps)) (*.f64 eps eps)))
#s(approx (+ (* 2 x) eps) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -2 binary64) #s(literal -1 binary64))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 0 binary64) eps)) eps)) eps) eps))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -1 binary64) #s(literal -1 binary64))))

eval48.0ms (1.7%)

Memory
35.1MiB live, 84.5MiB allocated; 13ms collecting garbage
Compiler

Compiled 9 296 to 1 240 computations (86.7% saved)

prune14.0ms (0.5%)

Memory
-12.2MiB live, 32.6MiB allocated; 7ms collecting garbage
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New4274431
Fresh000
Picked325
Done000
Total4306436
Accuracy
100.0%
Counts
436 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 eps x) eps (*.f64 eps x)))
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps))
65.9%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 #s(literal 2 binary64) x) eps))
73.8%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
41.8%
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(literal 0 binary64))
Compiler

Compiled 93 to 62 computations (33.3% saved)

series12.0ms (0.4%)

Memory
-25.4MiB live, 19.1MiB allocated; 3ms collecting garbage
Counts
15 → 51
Calls
Call 1
Inputs
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 #s(literal 2 binary64) x) eps))
(*.f64 (*.f64 #s(literal 2 binary64) x) eps)
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
eps
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps))
(*.f64 (+.f64 (+.f64 eps x) x) eps)
(+.f64 (+.f64 eps x) x)
(+.f64 eps x)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 eps x) eps (*.f64 eps x)))
(fma.f64 (+.f64 eps x) eps (*.f64 eps x))
(*.f64 eps x)
Outputs
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (* (* 2 x) eps) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (+ (* (+ eps x) eps) (* eps x)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (+ eps x) eps) (* eps x)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (* eps x) #s(hole binary64 (* eps x)))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ (* (+ eps x) eps) (* eps x)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ (* (+ eps x) eps) (* eps x)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (+ (* (+ eps x) eps) (* eps x)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (+ (* -1 (pow x 2)) (pow x 2))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (+ (* -1 (pow x 2)) (+ (* 2 (* eps x)) (pow x 2)))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (+ (* -1 (pow x 2)) (+ (* eps (+ eps (* 2 x))) (pow x 2)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx eps #s(hole binary64 eps))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (+ (* (+ eps x) eps) (* eps x)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ (* (+ eps x) eps) (* eps x)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
eps
@-inf
((+ (* (+ eps x) (+ eps x)) (* (neg x) x)) 0 (- (pow (+ x eps) 2) (pow x 2)) (* (* 2 x) eps) (* 2 x) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* (+ (+ eps x) x) eps) (+ (+ eps x) x) (+ eps x) (- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ eps x) eps) (* eps x)) (* eps x))
2.0ms
x
@-inf
((+ (* (+ eps x) (+ eps x)) (* (neg x) x)) 0 (- (pow (+ x eps) 2) (pow x 2)) (* (* 2 x) eps) (* 2 x) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* (+ (+ eps x) x) eps) (+ (+ eps x) x) (+ eps x) (- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ eps x) eps) (* eps x)) (* eps x))
1.0ms
x
@inf
((+ (* (+ eps x) (+ eps x)) (* (neg x) x)) 0 (- (pow (+ x eps) 2) (pow x 2)) (* (* 2 x) eps) (* 2 x) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* (+ (+ eps x) x) eps) (+ (+ eps x) x) (+ eps x) (- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ eps x) eps) (* eps x)) (* eps x))
1.0ms
eps
@inf
((+ (* (+ eps x) (+ eps x)) (* (neg x) x)) 0 (- (pow (+ x eps) 2) (pow x 2)) (* (* 2 x) eps) (* 2 x) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* (+ (+ eps x) x) eps) (+ (+ eps x) x) (+ eps x) (- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ eps x) eps) (* eps x)) (* eps x))
1.0ms
x
@0
((+ (* (+ eps x) (+ eps x)) (* (neg x) x)) 0 (- (pow (+ x eps) 2) (pow x 2)) (* (* 2 x) eps) (* 2 x) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* (+ (+ eps x) x) eps) (+ (+ eps x) x) (+ eps x) (- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ eps x) eps) (* eps x)) (* eps x))

rewrite171.0ms (6.2%)

Memory
27.1MiB live, 220.1MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146957
0154872
1688843
06160792
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
66 → 243
Calls
Call 1
Inputs
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 #s(literal 2 binary64) x) eps))
(*.f64 (*.f64 #s(literal 2 binary64) x) eps)
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
eps
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps))
(*.f64 (+.f64 (+.f64 eps x) x) eps)
(+.f64 (+.f64 eps x) x)
(+.f64 eps x)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 eps x) eps (*.f64 eps x)))
(fma.f64 (+.f64 eps x) eps (*.f64 eps x))
(*.f64 eps x)
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (* (* 2 x) eps) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (+ (* (+ eps x) eps) (* eps x)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (+ eps x) eps) (* eps x)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (* eps x) #s(hole binary64 (* eps x)))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ (* (+ eps x) eps) (* eps x)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ (* (+ eps x) eps) (* eps x)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (+ (* (+ eps x) eps) (* eps x)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (+ (* -1 (pow x 2)) (pow x 2))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (+ (* -1 (pow x 2)) (+ (* 2 (* eps x)) (pow x 2)))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (+ (* -1 (pow x 2)) (+ (* eps (+ eps (* 2 x))) (pow x 2)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx eps #s(hole binary64 eps))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (+ (* (+ eps x) eps) (* eps x)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ (* (+ eps x) eps) (* eps x)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 x eps) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) eps) x)
(*.f64 (*.f64 #s(literal 2 binary64) x) eps)
(*.f64 (*.f64 x eps) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 x eps))
(*.f64 x (*.f64 #s(literal 2 binary64) eps))
(*.f64 eps (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (pow.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (*.f64 x eps) (*.f64 x eps)))
(/.f64 (+.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) (pow.f64 (*.f64 x eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x eps) (*.f64 #s(literal 1 binary64) (*.f64 x eps)))
(fma.f64 (*.f64 x eps) #s(literal 1 binary64) (*.f64 (*.f64 x eps) #s(literal 1 binary64)))
(fma.f64 x eps (*.f64 x eps))
(fma.f64 eps x (*.f64 x eps))
(-.f64 (*.f64 x eps) (*.f64 (neg.f64 x) eps))
(-.f64 (*.f64 x eps) (*.f64 (neg.f64 eps) x))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x eps)) (*.f64 #s(literal 1 binary64) (*.f64 x eps)))
(+.f64 (*.f64 (*.f64 x eps) #s(literal 1 binary64)) (*.f64 (*.f64 x eps) #s(literal 1 binary64)))
(+.f64 (*.f64 x eps) (*.f64 x eps))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) (-.f64 x x))
(+.f64 x x)
#s(literal 2 binary64)
x
eps
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps (fma.f64 #s(literal 2 binary64) x 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) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) eps) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (*.f64 eps eps)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) eps) (fma.f64 x (-.f64 x (+.f64 x eps)) (pow.f64 (+.f64 x eps) #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) #s(literal 2 binary64))) eps) (-.f64 (+.f64 x eps) x))
(/.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) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (*.f64 eps eps)))
(/.f64 (*.f64 eps (+.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (+.f64 x eps)) (pow.f64 (+.f64 x eps) #s(literal 2 binary64))))
(/.f64 (*.f64 eps (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))) (-.f64 (+.f64 x eps) x))
(/.f64 (-.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 x eps) eps) #s(literal 2 binary64))) (-.f64 (*.f64 x eps) (*.f64 (+.f64 x eps) eps)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x eps) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x eps) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 eps) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 x eps) eps) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 (neg.f64 eps) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (neg.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 eps #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x eps) eps) #s(literal 2 binary64)) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)))) (neg.f64 (*.f64 eps (-.f64 (+.f64 x eps) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 x eps) eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) (*.f64 (+.f64 x eps) eps)) (pow.f64 (*.f64 (+.f64 x eps) eps) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x eps) eps) #s(literal 2 binary64)) (pow.f64 (*.f64 x eps) #s(literal 2 binary64))) (*.f64 eps (-.f64 (+.f64 x eps) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (+.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 x eps) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 x eps) eps) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 x eps) eps) x) eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 x eps) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) (*.f64 (+.f64 x eps) eps)) (pow.f64 (*.f64 (+.f64 x eps) eps) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 6 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 eps #s(literal 3 binary64))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 eps #s(literal 3 binary64))))))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (*.f64 (*.f64 x eps) #s(literal 2 binary64)))
(fma.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)) (*.f64 (*.f64 x eps) #s(literal 2 binary64)))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 (*.f64 x eps) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps eps) (*.f64 (*.f64 x eps) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) eps) x (*.f64 eps eps))
(fma.f64 (*.f64 #s(literal 2 binary64) x) eps (*.f64 eps eps))
(fma.f64 (*.f64 x eps) #s(literal 2 binary64) (*.f64 eps eps))
(fma.f64 (*.f64 eps eps) #s(literal 1 binary64) (*.f64 (*.f64 x eps) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x eps) (*.f64 eps eps))
(fma.f64 (+.f64 x eps) eps (*.f64 x eps))
(fma.f64 x (*.f64 #s(literal 2 binary64) eps) (*.f64 eps eps))
(fma.f64 x eps (*.f64 (+.f64 x eps) eps))
(fma.f64 eps (*.f64 #s(literal 2 binary64) x) (*.f64 eps eps))
(fma.f64 eps (+.f64 x eps) (*.f64 x eps))
(fma.f64 eps x (*.f64 (+.f64 x eps) eps))
(fma.f64 eps eps (*.f64 (*.f64 x eps) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps))) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps))))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x eps) eps) #s(literal 2 binary64)) (*.f64 eps (-.f64 (+.f64 x eps) x))) (/.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (*.f64 eps (-.f64 (+.f64 x eps) x))))
(-.f64 (*.f64 (+.f64 x eps) eps) (*.f64 (neg.f64 x) eps))
(-.f64 (*.f64 (+.f64 x eps) eps) (*.f64 (neg.f64 eps) x))
(-.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64)) (*.f64 (neg.f64 eps) eps))
(-.f64 (*.f64 x eps) (*.f64 (neg.f64 (+.f64 x eps)) eps))
(-.f64 (*.f64 x eps) (*.f64 (neg.f64 eps) (+.f64 x eps)))
(-.f64 (*.f64 eps eps) (*.f64 (*.f64 (neg.f64 eps) x) #s(literal 2 binary64)))
(-.f64 (*.f64 eps eps) (*.f64 (neg.f64 eps) (*.f64 #s(literal 2 binary64) x)))
(-.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal -2 binary64) x) eps))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 eps #s(literal 3 binary64)))))) (/.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 eps #s(literal 3 binary64)))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x eps) eps) #s(literal 3 binary64)) (fma.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) (*.f64 (+.f64 x eps) eps)) (pow.f64 (*.f64 (+.f64 x eps) eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) (fma.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) (*.f64 (+.f64 x eps) eps)) (pow.f64 (*.f64 (+.f64 x eps) eps) #s(literal 2 binary64)))))
(+.f64 (*.f64 (+.f64 x eps) eps) (*.f64 x eps))
(+.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64)) (*.f64 eps eps))
(+.f64 (*.f64 x eps) (*.f64 (+.f64 x eps) eps))
(+.f64 (*.f64 eps eps) (*.f64 (*.f64 x eps) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 eps eps)) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 2 binary64))) (-.f64 x (+.f64 x eps)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (*.f64 eps eps)))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 (-.f64 eps x) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (*.f64 eps eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (+.f64 x eps)) (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))) (neg.f64 (-.f64 (+.f64 x eps) x)))
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x (pow.f64 (+.f64 x eps) #s(literal 2 binary64))) (-.f64 (+.f64 x eps) x)))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 (-.f64 eps x) x))
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (+.f64 x eps) #s(literal 2 binary64))) (pow.f64 (+.f64 x eps) #s(literal 4 binary64))) (-.f64 (+.f64 x eps) x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64) (pow.f64 (+.f64 x eps) #s(literal 6 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (*.f64 (+.f64 x eps) x) #s(literal 2 binary64)))) (-.f64 (+.f64 x eps) x)))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x eps) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (*.f64 eps eps)))
(/.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (*.f64 (+.f64 x eps) x))))
(/.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (+.f64 x eps)) (pow.f64 (+.f64 x eps) #s(literal 2 binary64))))
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) #s(literal 2 binary64))) (-.f64 (+.f64 x eps) x))
(fma.f64 (pow.f64 (+.f64 x eps) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x eps) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 (-.f64 eps x) x)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (-.f64 eps x) x)))
(-.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (-.f64 (+.f64 x eps) x)) (/.f64 (*.f64 x x) (-.f64 (+.f64 x eps) x)))
(-.f64 eps (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(-.f64 eps (*.f64 #s(literal -2 binary64) x))
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (*.f64 eps eps))) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (*.f64 eps eps))))
(+.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 x eps)) (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 x eps)) (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (+.f64 x eps) x)) (/.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (-.f64 (+.f64 x eps) x)))
(+.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (-.f64 (+.f64 x eps) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (+.f64 x eps) x)))
(+.f64 (*.f64 #s(literal 2 binary64) x) eps)
(+.f64 (+.f64 x eps) x)
(+.f64 x (+.f64 x eps))
(+.f64 eps (*.f64 (neg.f64 x) #s(literal -2 binary64)))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 (pow.f64 (+.f64 x eps) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x eps) #s(literal 1/2 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 x eps))) (neg.f64 (-.f64 x eps)))
(/.f64 (neg.f64 (fma.f64 eps eps (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 eps x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps))
(/.f64 (fma.f64 eps eps (*.f64 (neg.f64 x) x)) (-.f64 eps x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x eps) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps x)) (/.f64 (*.f64 x x) (-.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(+.f64 x eps)
(+.f64 eps 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))
(/.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) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) eps) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (*.f64 eps eps)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) eps) (fma.f64 x (-.f64 x (+.f64 x eps)) (pow.f64 (+.f64 x eps) #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) #s(literal 2 binary64))) eps) (-.f64 (+.f64 x eps) x))
(/.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) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (*.f64 eps eps)))
(/.f64 (*.f64 eps (+.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (+.f64 x eps)) (pow.f64 (+.f64 x eps) #s(literal 2 binary64))))
(/.f64 (*.f64 eps (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))) (-.f64 (+.f64 x eps) x))
(/.f64 (-.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 x eps) eps) #s(literal 2 binary64))) (-.f64 (*.f64 x eps) (*.f64 (+.f64 x eps) eps)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x eps) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x eps) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 eps) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 x eps) eps) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 (neg.f64 eps) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (neg.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 eps #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x eps) eps) #s(literal 2 binary64)) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)))) (neg.f64 (*.f64 eps (-.f64 (+.f64 x eps) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 x eps) eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) (*.f64 (+.f64 x eps) eps)) (pow.f64 (*.f64 (+.f64 x eps) eps) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x eps) eps) #s(literal 2 binary64)) (pow.f64 (*.f64 x eps) #s(literal 2 binary64))) (*.f64 eps (-.f64 (+.f64 x eps) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (+.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 x eps) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 x eps) eps) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 x eps) eps) x) eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 x eps) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) (*.f64 (+.f64 x eps) eps)) (pow.f64 (*.f64 (+.f64 x eps) eps) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 6 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 eps #s(literal 3 binary64))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 eps #s(literal 3 binary64))))))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (*.f64 (*.f64 x eps) #s(literal 2 binary64)))
(fma.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)) (*.f64 (*.f64 x eps) #s(literal 2 binary64)))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 (*.f64 x eps) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps eps) (*.f64 (*.f64 x eps) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) eps) x (*.f64 eps eps))
(fma.f64 (*.f64 #s(literal 2 binary64) x) eps (*.f64 eps eps))
(fma.f64 (*.f64 x eps) #s(literal 2 binary64) (*.f64 eps eps))
(fma.f64 (*.f64 eps eps) #s(literal 1 binary64) (*.f64 (*.f64 x eps) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x eps) (*.f64 eps eps))
(fma.f64 (+.f64 x eps) eps (*.f64 x eps))
(fma.f64 x (*.f64 #s(literal 2 binary64) eps) (*.f64 eps eps))
(fma.f64 x eps (*.f64 (+.f64 x eps) eps))
(fma.f64 eps (*.f64 #s(literal 2 binary64) x) (*.f64 eps eps))
(fma.f64 eps (+.f64 x eps) (*.f64 x eps))
(fma.f64 eps x (*.f64 (+.f64 x eps) eps))
(fma.f64 eps eps (*.f64 (*.f64 x eps) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps))) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps))))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x eps) eps) #s(literal 2 binary64)) (*.f64 eps (-.f64 (+.f64 x eps) x))) (/.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (*.f64 eps (-.f64 (+.f64 x eps) x))))
(-.f64 (*.f64 (+.f64 x eps) eps) (*.f64 (neg.f64 x) eps))
(-.f64 (*.f64 (+.f64 x eps) eps) (*.f64 (neg.f64 eps) x))
(-.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64)) (*.f64 (neg.f64 eps) eps))
(-.f64 (*.f64 x eps) (*.f64 (neg.f64 (+.f64 x eps)) eps))
(-.f64 (*.f64 x eps) (*.f64 (neg.f64 eps) (+.f64 x eps)))
(-.f64 (*.f64 eps eps) (*.f64 (*.f64 (neg.f64 eps) x) #s(literal 2 binary64)))
(-.f64 (*.f64 eps eps) (*.f64 (neg.f64 eps) (*.f64 #s(literal 2 binary64) x)))
(-.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal -2 binary64) x) eps))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 eps #s(literal 3 binary64)))))) (/.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 eps #s(literal 3 binary64)))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x eps) eps) #s(literal 3 binary64)) (fma.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) (*.f64 (+.f64 x eps) eps)) (pow.f64 (*.f64 (+.f64 x eps) eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) (fma.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) (*.f64 (+.f64 x eps) eps)) (pow.f64 (*.f64 (+.f64 x eps) eps) #s(literal 2 binary64)))))
(+.f64 (*.f64 (+.f64 x eps) eps) (*.f64 x eps))
(+.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64)) (*.f64 eps eps))
(+.f64 (*.f64 x eps) (*.f64 (+.f64 x eps) eps))
(+.f64 (*.f64 eps eps) (*.f64 (*.f64 x eps) #s(literal 2 binary64)))
(*.f64 x eps)
(*.f64 eps x)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
#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 eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* (* 2 x) eps) (*.f64 (*.f64 x eps) #s(literal 2 binary64)))
#s(approx (* 2 x) (*.f64 #s(literal 2 binary64) x))
#s(approx x x)
#s(approx (+ (* (+ eps x) eps) (* eps x)) (*.f64 eps eps))
#s(approx (+ (* (+ eps x) eps) (* eps x)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (+ eps x) x) eps)
#s(approx (+ (+ eps x) x) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 x eps))
#s(approx (+ (* (+ eps x) eps) (* eps x)) (*.f64 eps eps))
#s(approx (+ (* (+ eps x) eps) (* eps x)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* eps x) (*.f64 x eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 x eps) #s(literal 2 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) eps (/.f64 (*.f64 eps eps) x)) x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 x eps) #s(literal 2 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) eps (/.f64 (*.f64 eps eps) x)) x))
#s(approx (+ (* (+ eps x) eps) (* eps x)) (*.f64 (*.f64 x eps) #s(literal 2 binary64)))
#s(approx (+ (* (+ eps x) eps) (* eps x)) (*.f64 (fma.f64 #s(literal 2 binary64) eps (/.f64 (*.f64 eps eps) x)) x))
#s(approx (+ (+ eps x) x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (+ eps x) x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) x))
#s(approx (+ eps x) x)
#s(approx (+ eps x) (fma.f64 (/.f64 eps x) x x))
#s(approx (+ (* (+ eps x) eps) (* eps x)) (*.f64 (*.f64 x eps) #s(literal 2 binary64)))
#s(approx (+ (* (+ eps x) eps) (* eps x)) (*.f64 (fma.f64 #s(literal 2 binary64) eps (/.f64 (*.f64 eps eps) x)) x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal -2 binary64) eps (/.f64 (*.f64 eps eps) (neg.f64 x))) (neg.f64 x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal -2 binary64) eps (/.f64 (*.f64 eps eps) (neg.f64 x))) (neg.f64 x)))
#s(approx (+ (* (+ eps x) eps) (* eps x)) (*.f64 (fma.f64 #s(literal -2 binary64) eps (/.f64 (*.f64 eps eps) (neg.f64 x))) (neg.f64 x)))
#s(approx (+ (+ eps x) x) (*.f64 (-.f64 (/.f64 eps (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 x)))
#s(approx (+ eps x) (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -1 binary64)) (neg.f64 x)))
#s(approx (+ (* (+ eps x) eps) (* eps x)) (*.f64 (fma.f64 #s(literal -2 binary64) eps (/.f64 (*.f64 eps eps) (neg.f64 x))) (neg.f64 x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(literal 0 binary64))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (*.f64 #s(literal 2 binary64) eps) x #s(literal 0 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps #s(literal 0 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx eps eps)
#s(approx (+ (* (+ eps x) eps) (* eps x)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (* (+ eps x) eps) (* eps x)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (-.f64 (-.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (pow.f64 (/.f64 x eps) #s(literal 2 binary64))) (pow.f64 (/.f64 x eps) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
#s(approx (+ (* (+ eps x) eps) (* eps x)) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
#s(approx (+ (+ eps x) x) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps))
#s(approx (+ eps x) (fma.f64 (/.f64 x eps) eps eps))
#s(approx (+ (* (+ eps x) eps) (* eps x)) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 0 binary64) eps)) eps)) eps) eps))
#s(approx (+ (+ eps x) x) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -2 binary64) #s(literal -1 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -1 binary64) #s(literal -1 binary64))))

eval39.0ms (1.4%)

Memory
-15.9MiB live, 30.1MiB allocated; 4ms collecting garbage
Compiler

Compiled 5 235 to 722 computations (86.2% saved)

prune6.0ms (0.2%)

Memory
14.4MiB live, 14.4MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New2102212
Fresh000
Picked134
Done022
Total2117218
Accuracy
100.0%
Counts
218 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 eps x) eps (*.f64 eps x)))
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps))
65.9%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) x) x) eps))
77.1%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) eps) x) eps))
73.8%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
41.8%
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(literal 0 binary64))
Compiler

Compiled 116 to 75 computations (35.3% saved)

series5.0ms (0.2%)

Memory
6.8MiB live, 6.7MiB allocated; 0ms collecting garbage
Counts
10 → 30
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) eps) x) eps))
(*.f64 (+.f64 #s(approx (+ eps x) eps) x) eps)
(+.f64 #s(approx (+ eps x) eps) x)
#s(approx (+ eps x) eps)
eps
x
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) x) x) eps))
(*.f64 (+.f64 #s(approx (+ eps x) x) x) eps)
(+.f64 #s(approx (+ eps x) x) x)
#s(approx (+ eps x) x)
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
Calls

6 calls:

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

rewrite118.0ms (4.3%)

Memory
-19.2MiB live, 124.8MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092494
096487
1434477
03563450
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
40 → 88
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) eps) x) eps))
(*.f64 (+.f64 #s(approx (+ eps x) eps) x) eps)
(+.f64 #s(approx (+ eps x) eps) x)
#s(approx (+ eps x) eps)
eps
x
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) x) x) eps))
(*.f64 (+.f64 #s(approx (+ eps x) x) x) eps)
(+.f64 #s(approx (+ eps x) x) x)
#s(approx (+ eps x) x)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) eps) x) eps))
(*.f64 (+.f64 #s(approx (+ eps x) eps) x) eps)
(*.f64 eps (+.f64 #s(approx (+ eps x) eps) x))
(/.f64 (*.f64 (*.f64 (+.f64 #s(approx (+ eps x) eps) x) (-.f64 #s(approx (+ eps x) eps) x)) eps) (-.f64 #s(approx (+ eps x) eps) x))
(/.f64 (*.f64 (+.f64 (pow.f64 #s(approx (+ eps x) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) eps) (fma.f64 #s(approx (+ eps x) eps) #s(approx (+ eps x) eps) (*.f64 x (-.f64 x #s(approx (+ eps x) eps)))))
(/.f64 (*.f64 eps (*.f64 (+.f64 #s(approx (+ eps x) eps) x) (-.f64 #s(approx (+ eps x) eps) x))) (-.f64 #s(approx (+ eps x) eps) x))
(/.f64 (*.f64 eps (+.f64 (pow.f64 #s(approx (+ eps x) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(approx (+ eps x) eps) #s(approx (+ eps x) eps) (*.f64 x (-.f64 x #s(approx (+ eps x) eps)))))
(fma.f64 #s(approx (+ eps x) eps) eps (*.f64 eps x))
(fma.f64 eps #s(approx (+ eps x) eps) (*.f64 eps x))
(fma.f64 eps x (*.f64 #s(approx (+ eps x) eps) eps))
(fma.f64 eps x (*.f64 eps #s(approx (+ eps x) eps)))
(fma.f64 x eps (*.f64 #s(approx (+ eps x) eps) eps))
(fma.f64 x eps (*.f64 eps #s(approx (+ eps x) eps)))
(+.f64 (*.f64 #s(approx (+ eps x) eps) eps) (*.f64 eps x))
(+.f64 (*.f64 eps #s(approx (+ eps x) eps)) (*.f64 eps x))
(+.f64 (*.f64 eps x) (*.f64 #s(approx (+ eps x) eps) eps))
(+.f64 (*.f64 eps x) (*.f64 eps #s(approx (+ eps x) eps)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (+ eps x) eps) #s(literal 2 binary64))) (-.f64 x #s(approx (+ eps x) eps)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(approx (+ eps x) eps) x) (-.f64 #s(approx (+ eps x) eps) x))) (neg.f64 (-.f64 #s(approx (+ eps x) eps) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ eps x) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (+ eps x) eps) #s(approx (+ eps x) eps) (*.f64 x (-.f64 x #s(approx (+ eps x) eps))))))
(/.f64 (*.f64 (+.f64 #s(approx (+ eps x) eps) x) (-.f64 #s(approx (+ eps x) eps) x)) (-.f64 #s(approx (+ eps x) eps) x))
(/.f64 (+.f64 (pow.f64 #s(approx (+ eps x) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 #s(approx (+ eps x) eps) #s(literal 2 binary64)) (*.f64 #s(approx (+ eps x) eps) x))))
(/.f64 (+.f64 (pow.f64 #s(approx (+ eps x) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(approx (+ eps x) eps) #s(approx (+ eps x) eps) (*.f64 x (-.f64 x #s(approx (+ eps x) eps)))))
(-.f64 (/.f64 (pow.f64 #s(approx (+ eps x) eps) #s(literal 2 binary64)) (-.f64 #s(approx (+ eps x) eps) x)) (/.f64 (*.f64 x x) (-.f64 #s(approx (+ eps x) eps) x)))
(+.f64 (/.f64 (pow.f64 #s(approx (+ eps x) eps) #s(literal 3 binary64)) (fma.f64 #s(approx (+ eps x) eps) #s(approx (+ eps x) eps) (*.f64 x (-.f64 x #s(approx (+ eps x) eps))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ eps x) eps) #s(approx (+ eps x) eps) (*.f64 x (-.f64 x #s(approx (+ eps x) eps))))))
(+.f64 #s(approx (+ eps x) eps) x)
(+.f64 x #s(approx (+ eps x) eps))
#s(approx (+ eps x) eps)
eps
x
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) x) x) eps))
(*.f64 (+.f64 #s(approx (+ eps x) x) x) eps)
(*.f64 eps (+.f64 #s(approx (+ eps x) x) x))
(/.f64 (*.f64 (*.f64 (+.f64 #s(approx (+ eps x) x) x) (-.f64 #s(approx (+ eps x) x) x)) eps) (-.f64 #s(approx (+ eps x) x) x))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64))) eps) (fma.f64 #s(approx (+ eps x) x) #s(approx (+ eps x) x) (*.f64 x (-.f64 x #s(approx (+ eps x) x)))))
(/.f64 (*.f64 eps (*.f64 (+.f64 #s(approx (+ eps x) x) x) (-.f64 #s(approx (+ eps x) x) x))) (-.f64 #s(approx (+ eps x) x) x))
(/.f64 (*.f64 eps (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64)))) (fma.f64 #s(approx (+ eps x) x) #s(approx (+ eps x) x) (*.f64 x (-.f64 x #s(approx (+ eps x) x)))))
(fma.f64 #s(approx (+ eps x) x) eps (*.f64 eps x))
(fma.f64 eps #s(approx (+ eps x) x) (*.f64 eps x))
(fma.f64 eps x (*.f64 #s(approx (+ eps x) x) eps))
(fma.f64 eps x (*.f64 eps #s(approx (+ eps x) x)))
(fma.f64 x eps (*.f64 #s(approx (+ eps x) x) eps))
(fma.f64 x eps (*.f64 eps #s(approx (+ eps x) x)))
(+.f64 (*.f64 #s(approx (+ eps x) x) eps) (*.f64 eps x))
(+.f64 (*.f64 eps #s(approx (+ eps x) x)) (*.f64 eps x))
(+.f64 (*.f64 eps x) (*.f64 #s(approx (+ eps x) x) eps))
(+.f64 (*.f64 eps x) (*.f64 eps #s(approx (+ eps x) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64))) (-.f64 x #s(approx (+ eps x) x)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(approx (+ eps x) x) x) (-.f64 #s(approx (+ eps x) x) x))) (neg.f64 (-.f64 #s(approx (+ eps x) x) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (+ eps x) x) #s(approx (+ eps x) x) (*.f64 x (-.f64 x #s(approx (+ eps x) x))))))
(/.f64 (*.f64 (+.f64 #s(approx (+ eps x) x) x) (-.f64 #s(approx (+ eps x) x) x)) (-.f64 #s(approx (+ eps x) x) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)) (*.f64 #s(approx (+ eps x) x) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64))) (fma.f64 #s(approx (+ eps x) x) #s(approx (+ eps x) x) (*.f64 x (-.f64 x #s(approx (+ eps x) x)))))
(-.f64 (/.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)) (-.f64 #s(approx (+ eps x) x) x)) (/.f64 (*.f64 x x) (-.f64 #s(approx (+ eps x) x) x)))
(+.f64 (/.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64)) (fma.f64 #s(approx (+ eps x) x) #s(approx (+ eps x) x) (*.f64 x (-.f64 x #s(approx (+ eps x) x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ eps x) x) #s(approx (+ eps x) x) (*.f64 x (-.f64 x #s(approx (+ eps x) x))))))
(+.f64 #s(approx (+ eps x) x) x)
(+.f64 x #s(approx (+ eps x) x))
#s(approx (+ eps x) x)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* (+ (+ eps x) x) eps) (*.f64 eps eps))
#s(approx (* (+ (+ eps x) x) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (+ eps x) x) eps)
#s(approx (+ (+ eps x) x) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 eps x))
#s(approx x x)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) eps (/.f64 (*.f64 eps eps) x)) x))
#s(approx (* (+ (+ eps x) x) eps) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
#s(approx (* (+ (+ eps x) x) eps) (*.f64 (fma.f64 #s(literal 2 binary64) eps (/.f64 (*.f64 eps eps) x)) x))
#s(approx (+ (+ eps x) x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (+ eps x) x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) x))
#s(approx (+ eps x) x)
#s(approx (+ eps x) (fma.f64 (/.f64 eps x) x x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -2 binary64) eps (/.f64 (*.f64 (neg.f64 eps) eps) x))))
#s(approx (* (+ (+ eps x) x) eps) (*.f64 (neg.f64 x) (fma.f64 #s(literal -2 binary64) eps (/.f64 (*.f64 (neg.f64 eps) eps) x))))
#s(approx (+ (+ eps x) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 2 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -1 binary64))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* (+ (+ eps x) x) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx eps eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
#s(approx (* (+ (+ eps x) x) eps) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
#s(approx (+ (+ eps x) x) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps))
#s(approx (+ eps x) (fma.f64 (/.f64 x eps) eps eps))
#s(approx (+ (+ eps x) x) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -2 binary64) #s(literal -1 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -1 binary64) #s(literal -1 binary64))))

eval8.0ms (0.3%)

Memory
20.0MiB live, 20.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 420 to 304 computations (87.4% saved)

prune7.0ms (0.3%)

Memory
-31.1MiB live, 15.4MiB allocated; 2ms collecting garbage
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New92092
Fresh000
Picked022
Done055
Total92799
Accuracy
100.0%
Counts
99 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 eps x) eps (*.f64 eps x)))
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps))
65.9%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) x) x) eps))
77.1%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) eps) x) eps))
73.8%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
41.8%
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(literal 0 binary64))
Compiler

Compiled 302 to 126 computations (58.3% saved)

regimes11.0ms (0.4%)

Memory
24.0MiB live, 24.0MiB allocated; 0ms collecting garbage
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(literal 0 binary64))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) eps) x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) x) x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 #s(literal 2 binary64) x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps))
#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)) (fma.f64 (+.f64 eps x) eps (*.f64 eps x)))
(fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 (neg.f64 x) x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) eps (/.f64 (*.f64 eps eps) x)) x))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
Calls

3 calls:

4.0ms
x
4.0ms
eps
3.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
100.0%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
100.0%1x
100.0%1eps
Compiler

Compiled 11 to 11 computations (0% saved)

regimes7.0ms (0.3%)

Memory
16.9MiB live, 16.9MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(literal 0 binary64))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) eps) x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) x) x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 #s(literal 2 binary64) x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps))
Calls

3 calls:

3.0ms
eps
2.0ms
x
2.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
100.0%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
100.0%1x
100.0%1eps
Compiler

Compiled 11 to 11 computations (0% saved)

regimes12.0ms (0.4%)

Memory
-36.9MiB live, 19.5MiB allocated; 5ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(literal 0 binary64))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) eps) x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) x) x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 #s(literal 2 binary64) x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) x) x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) eps) x) eps))
Calls

3 calls:

8.0ms
x
2.0ms
eps
2.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
97.8%2(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
92.7%3x
89.2%3eps
Compiler

Compiled 11 to 11 computations (0% saved)

regimes5.0ms (0.2%)

Memory
11.8MiB live, 11.8MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(literal 0 binary64))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) eps) x) eps))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) eps) x) eps))
Calls

3 calls:

2.0ms
x
2.0ms
eps
1.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
77.1%1eps
77.1%1x
77.1%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Compiler

Compiled 11 to 11 computations (0% saved)

regimes4.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(literal 0 binary64))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
Calls

3 calls:

1.0ms
x
1.0ms
eps
1.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
73.8%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
73.8%1eps
73.8%1x
Compiler

Compiled 11 to 11 computations (0% saved)

regimes3.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(literal 0 binary64))
Outputs
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(literal 0 binary64))
Calls

3 calls:

1.0ms
x
1.0ms
eps
1.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
41.8%1x
41.8%1eps
41.8%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
5.4e-323
Compiler

Compiled 12 to 12 computations (0% saved)

simplify52.0ms (1.9%)

Memory
-22.9MiB live, 71.0MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037126
162126
2145126
3415126
41144112
54431112
Stop Event
node limit
Calls
Call 1
Inputs
#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 (+.f64 (+.f64 eps x) x) eps))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) x) x) eps)) #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) eps) x) eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) eps) x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(literal 0 binary64))
Outputs
#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 (+.f64 (+.f64 eps x) x) eps))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) x) x) eps)) #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) eps) x) eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) eps) x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(literal 0 binary64))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(literal 0 binary64))

derivations151.0ms (5.5%)

Memory
-19.1MiB live, 125.4MiB allocated; 7ms collecting garbage
Stop Event
done
Compiler

Compiled 126 to 34 computations (73% saved)

preprocess24.0ms (0.9%)

Memory
35.6MiB live, 35.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 270 to 82 computations (69.6% saved)

end0.0ms (0%)

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

Profiling

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