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

Time bar (total: 2.4s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
1.0MiB live, 1.0MiB 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 (50.7%)

Memory
38.1MiB live, 2 020.3MiB allocated; 423ms collecting garbage
Samples
477.0ms2 521×1valid
297.0ms5 138×0valid
166.0ms597×2valid
Precisions
Click to see histograms. Total time spent on operations: 647.0ms
ival-pow2: 305.0ms (47.1% of total)
adjust: 148.0ms (22.9% of total)
ival-add: 121.0ms (18.7% of total)
ival-sub: 69.0ms (10.7% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain187.0ms (7.7%)

Memory
18.8MiB live, 127.1MiB allocated; 61ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
702(-1.5038759992072322e-109 -4.5115880149006297e-215)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)))cancellation720
Confusion
Predicted +Predicted -
+700
-2184
Precision
0.9722222222222222
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7000
-20184
Precision?
0.9722222222222222
Recall?
1.0
Freqs
test
numberfreq
0184
172
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
46.0ms166×1valid
19.0ms312×0valid
6.0ms34×2valid
Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-pow2: 38.0ms (71.3% of total)
adjust: 6.0ms (11.3% of total)
ival-add: 4.0ms (7.5% of total)
ival-sub: 3.0ms (5.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess168.0ms (6.9%)

Memory
10.8MiB live, 152.9MiB allocated; 39ms 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
0.1MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.8%
(-.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)

series10.0ms (0.4%)

Memory
-33.4MiB live, 10.9MiB allocated; 7ms 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
5.0ms
x
@inf
((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2))
1.0ms
x
@-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
@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))

rewrite165.0ms (6.8%)

Memory
-3.2MiB live, 233.2MiB allocated; 33ms 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))))

eval12.0ms (0.5%)

Memory
33.3MiB live, 33.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 157 to 390 computations (81.9% saved)

prune4.0ms (0.2%)

Memory
11.6MiB live, 11.6MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1154119
Fresh000
Picked101
Done000
Total1164120
Accuracy
100.0%
Counts
120 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
#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))
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
62.7%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
73.4%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
Compiler

Compiled 65 to 45 computations (30.8% saved)

series18.0ms (0.7%)

Memory
-17.1MiB live, 29.9MiB allocated; 2ms collecting garbage
Counts
18 → 42
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
(*.f64 eps 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)
x
#s(literal 2 binary64)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(fma.f64 #s(literal 2 binary64) x eps)
#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))
(*.f64 (fma.f64 eps (/.f64 eps x) (neg.f64 (*.f64 #s(literal -2 binary64) eps))) x)
(fma.f64 eps (/.f64 eps x) (neg.f64 (*.f64 #s(literal -2 binary64) eps)))
(/.f64 eps x)
(neg.f64 (*.f64 #s(literal -2 binary64) eps))
(*.f64 #s(literal -2 binary64) eps)
#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 (* (* eps x) 2) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* eps x) #s(hole binary64 (* eps x)))
#s(approx x #s(hole binary64 x))
#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 (* (+ (* eps (/ eps x)) (neg (* -2 eps))) x) #s(hole binary64 (pow eps 2)))
#s(approx (* (+ (* eps (/ eps x)) (neg (* -2 eps))) x) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (+ (* eps (/ eps x)) (neg (* -2 eps))) #s(hole binary64 (/ (pow eps 2) x)))
#s(approx (+ (* eps (/ eps x)) (neg (* -2 eps))) #s(hole binary64 (/ (+ (* 2 (* eps x)) (pow eps 2)) x)))
#s(approx (/ eps x) #s(hole binary64 (/ eps 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 (/ eps x)) (neg (* -2 eps))) x) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* (+ (* eps (/ eps x)) (neg (* -2 eps))) x) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (* eps (/ eps x)) (neg (* -2 eps))) #s(hole binary64 (* 2 eps)))
#s(approx (+ (* eps (/ eps x)) (neg (* -2 eps))) #s(hole binary64 (- (/ (pow eps 2) x) (* -2 eps))))
#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 (/ eps x)) (neg (* -2 eps))) 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 (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (* (+ (* eps (/ eps x)) (neg (* -2 eps))) x) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (+ (* eps (/ eps x)) (neg (* -2 eps))) #s(hole binary64 (* eps (+ 2 (/ eps x)))))
#s(approx (neg (* -2 eps)) #s(hole binary64 (* 2 eps)))
#s(approx (* -2 eps) #s(hole binary64 (* -2 eps)))
#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 (/ eps x)) (neg (* -2 eps))) x) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* eps (/ eps x)) (neg (* -2 eps))) #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)))))
Calls

6 calls:

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

rewrite139.0ms (5.7%)

Memory
17.3MiB live, 160.6MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114749
0129680
1454677
03391672
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
60 → 284
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
(*.f64 eps 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)
x
#s(literal 2 binary64)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(fma.f64 #s(literal 2 binary64) x eps)
#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))
(*.f64 (fma.f64 eps (/.f64 eps x) (neg.f64 (*.f64 #s(literal -2 binary64) eps))) x)
(fma.f64 eps (/.f64 eps x) (neg.f64 (*.f64 #s(literal -2 binary64) eps)))
(/.f64 eps x)
(neg.f64 (*.f64 #s(literal -2 binary64) eps))
(*.f64 #s(literal -2 binary64) eps)
#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 (* (* eps x) 2) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* eps x) #s(hole binary64 (* eps x)))
#s(approx x #s(hole binary64 x))
#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 (* (+ (* eps (/ eps x)) (neg (* -2 eps))) x) #s(hole binary64 (pow eps 2)))
#s(approx (* (+ (* eps (/ eps x)) (neg (* -2 eps))) x) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (+ (* eps (/ eps x)) (neg (* -2 eps))) #s(hole binary64 (/ (pow eps 2) x)))
#s(approx (+ (* eps (/ eps x)) (neg (* -2 eps))) #s(hole binary64 (/ (+ (* 2 (* eps x)) (pow eps 2)) x)))
#s(approx (/ eps x) #s(hole binary64 (/ eps 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 (/ eps x)) (neg (* -2 eps))) x) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* (+ (* eps (/ eps x)) (neg (* -2 eps))) x) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (* eps (/ eps x)) (neg (* -2 eps))) #s(hole binary64 (* 2 eps)))
#s(approx (+ (* eps (/ eps x)) (neg (* -2 eps))) #s(hole binary64 (- (/ (pow eps 2) x) (* -2 eps))))
#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 (/ eps x)) (neg (* -2 eps))) 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 (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (* (+ (* eps (/ eps x)) (neg (* -2 eps))) x) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (+ (* eps (/ eps x)) (neg (* -2 eps))) #s(hole binary64 (* eps (+ 2 (/ eps x)))))
#s(approx (neg (* -2 eps)) #s(hole binary64 (* 2 eps)))
#s(approx (* -2 eps) #s(hole binary64 (* -2 eps)))
#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 (/ eps x)) (neg (* -2 eps))) x) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* eps (/ eps x)) (neg (* -2 eps))) #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)))))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.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))
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(fma.f64 (/.f64 eps x) (*.f64 eps x) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) eps (*.f64 (*.f64 (/.f64 eps x) x) eps))
(fma.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 eps x) x) eps))
(fma.f64 (*.f64 eps x) (/.f64 eps x) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 eps x) x) eps))
(fma.f64 (*.f64 #s(literal 2 binary64) eps) x (*.f64 (*.f64 (/.f64 eps x) x) eps))
(fma.f64 #s(literal -2 binary64) (*.f64 (neg.f64 eps) x) (*.f64 (*.f64 (/.f64 eps x) x) eps))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 eps x)) (*.f64 (*.f64 (/.f64 eps x) x) eps))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (*.f64 (*.f64 (/.f64 eps x) x) eps))
(fma.f64 eps (*.f64 (/.f64 eps x) x) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 eps (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 (/.f64 eps x) x) eps))
(fma.f64 eps x (fma.f64 eps x (*.f64 (*.f64 (/.f64 eps x) x) eps)))
(fma.f64 x (*.f64 (/.f64 eps x) eps) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 x (*.f64 #s(literal 2 binary64) eps) (*.f64 (*.f64 (/.f64 eps x) x) eps))
(fma.f64 x eps (fma.f64 eps x (*.f64 (*.f64 (/.f64 eps x) x) eps)))
(-.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (*.f64 (/.f64 eps x) eps)))
(+.f64 (*.f64 (*.f64 (/.f64 eps x) x) eps) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 eps x) x) eps))
(+.f64 (*.f64 eps x) (fma.f64 eps x (*.f64 (*.f64 (/.f64 eps x) x) eps)))
(*.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) eps)
(*.f64 eps (-.f64 (/.f64 eps x) #s(literal -2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64))) eps) (-.f64 #s(literal 2 binary64) (/.f64 eps x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64)) eps) (fma.f64 (/.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 eps (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (/.f64 eps x)))
(/.f64 (*.f64 eps (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (/.f64 eps x) (-.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 eps eps)) (pow.f64 (*.f64 (/.f64 eps x) eps) #s(literal 2 binary64)))) (neg.f64 (*.f64 eps (-.f64 #s(literal 2 binary64) (/.f64 eps x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 eps x) eps) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 eps eps)))) (neg.f64 (*.f64 eps (+.f64 (/.f64 eps x) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 (/.f64 eps x) eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) eps) (*.f64 eps (-.f64 #s(literal 2 binary64) (/.f64 eps x))) (pow.f64 (*.f64 (/.f64 eps x) eps) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 (/.f64 eps x) eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 eps eps) (*.f64 (*.f64 (/.f64 eps x) eps) (*.f64 eps (+.f64 (/.f64 eps x) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 eps x) eps) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 eps eps))) (*.f64 eps (+.f64 (/.f64 eps x) #s(literal -2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 eps eps)) (pow.f64 (*.f64 (/.f64 eps x) eps) #s(literal 2 binary64))) (*.f64 eps (-.f64 #s(literal 2 binary64) (/.f64 eps x))))
(/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 (/.f64 eps x) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) eps) (*.f64 eps (-.f64 #s(literal 2 binary64) (/.f64 eps x))) (pow.f64 (*.f64 (/.f64 eps x) eps) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 (/.f64 eps x) eps) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 eps eps) (*.f64 (*.f64 (/.f64 eps x) eps) (*.f64 eps (+.f64 (/.f64 eps x) #s(literal -2 binary64))))))
(fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 eps)) (neg.f64 eps) (*.f64 #s(literal 2 binary64) eps))
(fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (fabs.f64 eps)) (fabs.f64 eps) (*.f64 #s(literal 2 binary64) eps))
(fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) eps) eps (*.f64 #s(literal 2 binary64) eps))
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 eps x)) eps (*.f64 #s(literal 2 binary64) eps))
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) eps))
(fma.f64 (neg.f64 eps) (/.f64 (neg.f64 eps) x) (*.f64 #s(literal 2 binary64) eps))
(fma.f64 (neg.f64 eps) #s(literal -2 binary64) (*.f64 (/.f64 eps x) eps))
(fma.f64 (fabs.f64 eps) (/.f64 (fabs.f64 eps) x) (*.f64 #s(literal 2 binary64) eps))
(fma.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) eps))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 eps eps) (*.f64 #s(literal 2 binary64) eps))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 eps x) eps) (*.f64 #s(literal 2 binary64) eps))
(fma.f64 (*.f64 (/.f64 eps x) eps) #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) eps))
(fma.f64 (/.f64 eps x) eps (*.f64 #s(literal 2 binary64) eps))
(fma.f64 (*.f64 eps eps) (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) eps))
(fma.f64 (*.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64) (*.f64 (/.f64 eps x) eps))
(fma.f64 #s(literal -2 binary64) (neg.f64 eps) (*.f64 (/.f64 eps x) eps))
(fma.f64 #s(literal 2 binary64) eps (*.f64 (/.f64 eps x) eps))
(fma.f64 eps (*.f64 eps (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) eps))
(fma.f64 eps (/.f64 eps x) (*.f64 #s(literal 2 binary64) eps))
(fma.f64 eps #s(literal 2 binary64) (*.f64 (/.f64 eps x) eps))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 eps x) eps) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) eps) (*.f64 eps (-.f64 #s(literal 2 binary64) (/.f64 eps x))) (pow.f64 (*.f64 (/.f64 eps x) eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) eps) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) eps) (*.f64 eps (-.f64 #s(literal 2 binary64) (/.f64 eps x))) (pow.f64 (*.f64 (/.f64 eps x) eps) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 eps x) eps) #s(literal 2 binary64)) (*.f64 eps (+.f64 (/.f64 eps x) #s(literal -2 binary64)))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 eps eps)) (*.f64 eps (+.f64 (/.f64 eps x) #s(literal -2 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 eps eps)) (*.f64 eps (-.f64 #s(literal 2 binary64) (/.f64 eps x)))) (/.f64 (pow.f64 (*.f64 (/.f64 eps x) eps) #s(literal 2 binary64)) (*.f64 eps (-.f64 #s(literal 2 binary64) (/.f64 eps x)))))
(-.f64 (*.f64 (/.f64 eps x) eps) (*.f64 #s(literal 2 binary64) (neg.f64 eps)))
(-.f64 (*.f64 (/.f64 eps x) eps) (*.f64 (neg.f64 eps) #s(literal 2 binary64)))
(-.f64 (*.f64 (/.f64 eps x) eps) (*.f64 #s(literal -2 binary64) eps))
(-.f64 (*.f64 #s(literal 2 binary64) eps) (*.f64 (neg.f64 eps) (/.f64 eps x)))
(+.f64 (fma.f64 (/.f64 eps x) eps eps) eps)
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 eps x) eps) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) eps) (*.f64 eps (-.f64 #s(literal 2 binary64) (/.f64 eps x))) (pow.f64 (*.f64 (/.f64 eps x) eps) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) eps) (*.f64 eps (-.f64 #s(literal 2 binary64) (/.f64 eps x))) (pow.f64 (*.f64 (/.f64 eps x) eps) #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 eps eps) (*.f64 (*.f64 (/.f64 eps x) eps) (*.f64 eps (+.f64 (/.f64 eps x) #s(literal -2 binary64)))))) (/.f64 (pow.f64 (*.f64 (/.f64 eps x) eps) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 eps eps) (*.f64 (*.f64 (/.f64 eps x) eps) (*.f64 eps (+.f64 (/.f64 eps x) #s(literal -2 binary64)))))))
(+.f64 (*.f64 (/.f64 eps x) eps) (*.f64 #s(literal 2 binary64) eps))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (*.f64 (/.f64 eps x) eps))
(+.f64 eps (+.f64 eps (*.f64 (/.f64 eps x) eps)))
(/.f64 (neg.f64 eps) (neg.f64 x))
(/.f64 eps (neg.f64 (neg.f64 x)))
(/.f64 eps x)
(neg.f64 (/.f64 (neg.f64 eps) x))
(*.f64 (neg.f64 eps) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 eps))
(*.f64 #s(literal 2 binary64) eps)
(*.f64 eps #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 eps eps))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 eps eps) (*.f64 eps eps))))
(neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 eps)))
(neg.f64 (*.f64 #s(literal -2 binary64) eps))
(+.f64 eps eps)
(*.f64 #s(literal -2 binary64) eps)
(*.f64 eps #s(literal -2 binary64))
(neg.f64 (*.f64 #s(literal 2 binary64) eps))
#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 (* (* eps x) 2) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
#s(approx (* eps x) (*.f64 eps x))
#s(approx x x)
#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 (* (+ (* eps (/ eps x)) (neg (* -2 eps))) x) (*.f64 eps eps))
#s(approx (* (+ (* eps (/ eps x)) (neg (* -2 eps))) x) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (* eps (/ eps x)) (neg (* -2 eps))) (*.f64 (/.f64 eps x) eps))
#s(approx (+ (* eps (/ eps x)) (neg (* -2 eps))) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) x))
#s(approx (/ eps x) (/.f64 eps 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 (*.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 (/ eps x)) (neg (* -2 eps))) x) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
#s(approx (* (+ (* eps (/ eps x)) (neg (* -2 eps))) x) (*.f64 (*.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) x) eps))
#s(approx (+ (* eps (/ eps x)) (neg (* -2 eps))) (*.f64 #s(literal 2 binary64) eps))
#s(approx (+ (* eps (/ eps x)) (neg (* -2 eps))) (*.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 eps) (/.f64 eps x) (*.f64 #s(literal -2 binary64) eps))))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 eps) (/.f64 eps x) (*.f64 #s(literal -2 binary64) eps))))
#s(approx (+ (* 2 x) eps) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -2 binary64))))
#s(approx (* (+ (* eps (/ eps x)) (neg (* -2 eps))) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 eps) (/.f64 eps x) (*.f64 #s(literal -2 binary64) eps))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx eps eps)
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* (+ (* eps (/ eps x)) (neg (* -2 eps))) x) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (* eps (/ eps x)) (neg (* -2 eps))) (*.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) eps))
#s(approx (neg (* -2 eps)) (*.f64 #s(literal 2 binary64) eps))
#s(approx (* -2 eps) (*.f64 #s(literal -2 binary64) 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 (* (+ (* 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 (/ eps x)) (neg (* -2 eps))) x) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
#s(approx (+ (* eps (/ eps x)) (neg (* -2 eps))) (*.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))))

eval51.0ms (2.1%)

Memory
-21.7MiB live, 78.5MiB allocated; 21ms collecting garbage
Compiler

Compiled 7 018 to 907 computations (87.1% saved)

prune14.0ms (0.6%)

Memory
-10.4MiB live, 34.1MiB allocated; 6ms collecting garbage
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2952297
Fresh000
Picked224
Done000
Total2974301
Accuracy
100.0%
Counts
301 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 (*.f64 eps x) #s(literal 2 binary64))))
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
62.8%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 #s(literal 2 binary64) x) eps))
73.4%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
Compiler

Compiled 62 to 43 computations (30.6% saved)

series7.0ms (0.3%)

Memory
15.4MiB live, 15.4MiB allocated; 0ms collecting garbage
Counts
10 → 20
Calls
Call 1
Inputs
#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)) (fma.f64 eps eps (*.f64 (*.f64 eps x) #s(literal 2 binary64))))
(fma.f64 eps eps (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(*.f64 (*.f64 eps x) #s(literal 2 binary64))
(*.f64 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) #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 eps) (* (* eps x) 2)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* eps eps) (* (* eps x) 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (* (* eps x) 2) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* eps x) #s(hole binary64 (* eps 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 eps) (* (* eps x) 2)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ (* eps eps) (* (* eps x) 2)) #s(hole binary64 (* x (+ (* 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 (+ (* eps eps) (* (* eps x) 2)) #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 eps #s(hole binary64 eps))
#s(approx (+ (* eps eps) (* (* eps x) 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* eps eps) (* (* eps x) 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
Calls

6 calls:

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

rewrite82.0ms (3.4%)

Memory
6.5MiB live, 92.9MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061357
069340
1264338
01993321
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
30 → 146
Calls
Call 1
Inputs
#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)) (fma.f64 eps eps (*.f64 (*.f64 eps x) #s(literal 2 binary64))))
(fma.f64 eps eps (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(*.f64 (*.f64 eps x) #s(literal 2 binary64))
(*.f64 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) #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 eps) (* (* eps x) 2)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* eps eps) (* (* eps x) 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (* (* eps x) 2) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* eps x) #s(hole binary64 (* eps 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 eps) (* (* eps x) 2)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ (* eps eps) (* (* eps x) 2)) #s(hole binary64 (* x (+ (* 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 (+ (* eps eps) (* (* eps x) 2)) #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 eps #s(hole binary64 eps))
#s(approx (+ (* eps eps) (* (* eps x) 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* eps eps) (* (* eps x) 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.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 eps x) #s(literal 2 binary64))
(*.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 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 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(+.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 eps (*.f64 #s(literal 2 binary64) 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 eps (-.f64 (*.f64 eps eps) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (-.f64 eps (*.f64 #s(literal 2 binary64) 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 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 x) eps) #s(literal 2 binary64)) #s(literal 3 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 eps eps) (*.f64 (*.f64 (neg.f64 x) eps) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (*.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) 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 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (pow.f64 eps #s(literal 4 binary64)))))
(/.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 eps (*.f64 #s(literal 2 binary64) x))) (pow.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.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 eps (*.f64 #s(literal 2 binary64) x))))
(/.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))) (fma.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (pow.f64 eps #s(literal 4 binary64))))
(/.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 eps (*.f64 #s(literal 2 binary64) x))) (pow.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) #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 (neg.f64 (*.f64 (neg.f64 x) eps)) #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 #s(literal 1 binary64) (fabs.f64 eps)) (*.f64 #s(literal 1 binary64) (fabs.f64 eps)) (*.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) #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 (neg.f64 (*.f64 (neg.f64 x) eps)) #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) eps) (*.f64 #s(literal 1 binary64) eps) (*.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) eps) eps (*.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) eps) 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 (neg.f64 (*.f64 (neg.f64 x) eps)) #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 (*.f64 (fabs.f64 eps) #s(literal 1 binary64)) (*.f64 (fabs.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) #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 eps #s(literal 1 binary64)) (*.f64 eps #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64)))
(fma.f64 (*.f64 eps #s(literal 1 binary64)) (*.f64 eps #s(literal 1 binary64)) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)) (*.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)) (*.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) #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 (neg.f64 (*.f64 (neg.f64 x) eps)) #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 (neg.f64 (*.f64 (neg.f64 x) eps)) #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 (neg.f64 (*.f64 (neg.f64 x) eps)) #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 (neg.f64 (*.f64 (neg.f64 x) eps)) #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 (neg.f64 (*.f64 (neg.f64 x) eps)) #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 (neg.f64 (*.f64 (neg.f64 x) eps)) #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 (neg.f64 (*.f64 (neg.f64 x) eps)) #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 #s(literal 2 binary64) x) eps (*.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 (neg.f64 (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64)))
(fma.f64 (*.f64 eps eps) #s(literal 1 binary64) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps (*.f64 eps #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64)))
(fma.f64 eps (*.f64 eps #s(literal 1 binary64)) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 eps (*.f64 #s(literal 2 binary64) x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64)))
(fma.f64 eps eps (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 eps x (fma.f64 eps x (*.f64 eps eps)))
(fma.f64 x (*.f64 #s(literal 2 binary64) eps) (*.f64 eps eps))
(fma.f64 x eps (fma.f64 eps x (*.f64 eps eps)))
(-.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(-.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 eps) (*.f64 #s(literal 2 binary64) x)))
(-.f64 (*.f64 eps eps) (*.f64 (*.f64 (neg.f64 x) eps) #s(literal 2 binary64)))
(-.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal -2 binary64) x) eps))
(+.f64 (fma.f64 eps eps (*.f64 eps x)) (*.f64 eps x))
(+.f64 (/.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (pow.f64 eps #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 eps eps) (*.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) 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 eps (*.f64 #s(literal 2 binary64) x))) (pow.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 eps eps))
(+.f64 (*.f64 eps x) (fma.f64 eps x (*.f64 eps eps)))
(+.f64 (*.f64 eps eps) (*.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64)))
(+.f64 (*.f64 eps eps) (*.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 eps x) #s(literal 2 binary64))
(*.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 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)
#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 eps x) #s(literal 2 binary64)))
#s(approx (* 2 x) (*.f64 #s(literal 2 binary64) x))
#s(approx x x)
#s(approx (+ (* eps eps) (* (* eps x) 2)) (*.f64 eps eps))
#s(approx (+ (* eps eps) (* (* eps x) 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* (* 2 x) eps) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
#s(approx (* eps x) (*.f64 eps 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 eps) (* (* eps x) 2)) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
#s(approx (+ (* eps eps) (* (* eps 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 (neg.f64 x) (fma.f64 #s(literal -2 binary64) eps (/.f64 (*.f64 (neg.f64 eps) eps) x))))
#s(approx (+ (* eps eps) (* (* eps x) 2)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -2 binary64) eps (/.f64 (*.f64 (neg.f64 eps) eps) x))))
#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 eps) (* (* eps x) 2)) (*.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 (+ (* eps eps) (* (* eps x) 2)) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))

eval21.0ms (0.9%)

Memory
-16.1MiB live, 41.1MiB allocated; 15ms collecting garbage
Compiler

Compiled 3 042 to 377 computations (87.6% saved)

prune4.0ms (0.2%)

Memory
22.1MiB live, 22.1MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1331134
Fresh000
Picked112
Done022
Total1344138
Accuracy
100.0%
Counts
138 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 (*.f64 eps x) #s(literal 2 binary64))))
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
62.8%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
73.4%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
Compiler

Compiled 62 to 42 computations (32.3% saved)

series7.0ms (0.3%)

Memory
-30.1MiB live, 17.4MiB allocated; 3ms collecting garbage
Counts
5 → 11
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
(*.f64 (+.f64 x x) eps)
(+.f64 x x)
x
eps
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 (* (+ x x) eps) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ x x) #s(hole binary64 (* 2 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 (- (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) (pow x 2)) #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))))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) (+ x x) x eps)
1.0ms
x
@inf
((- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) (+ x x) x eps)
1.0ms
eps
@inf
((- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) (+ x x) x eps)
1.0ms
eps
@-inf
((- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) (+ x x) x eps)
1.0ms
x
@0
((- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) (+ x x) x eps)

rewrite31.0ms (1.3%)

Memory
16.0MiB live, 63.5MiB allocated; 1ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046180
048178
0225173
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
16 → 21
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
(*.f64 (+.f64 x x) eps)
(+.f64 x x)
x
eps
#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 (* (+ x x) eps) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ x x) #s(hole binary64 (* 2 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 (- (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) (pow x 2)) #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))))))
Outputs
#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 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(+.f64 x x)
x
eps
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 eps eps)))
#s(approx (* (+ x x) eps) (*.f64 (*.f64 eps x) #s(literal 2 binary64)))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) 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 (- (pow (+ x eps) 2) (pow x 2)) (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) eps (neg.f64 (/.f64 (*.f64 eps eps) x))) x)))
#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 (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 eps eps)))

eval2.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 403 to 74 computations (81.6% saved)

prune3.0ms (0.1%)

Memory
14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New23023
Fresh000
Picked011
Done033
Total23427
Accuracy
100.0%
Counts
27 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 (*.f64 eps x) #s(literal 2 binary64))))
100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
62.8%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
73.4%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
Compiler

Compiled 184 to 77 computations (58.2% saved)

regimes10.0ms (0.4%)

Memory
-7.3MiB live, 39.3MiB allocated; 2ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.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 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 (*.f64 eps x) #s(literal 2 binary64))))
#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))
(-.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
eps
3.0ms
x
2.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
100.0%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
100.0%1x
100.0%1eps
Compiler

Compiled 11 to 11 computations (0% saved)

regimes8.0ms (0.3%)

Memory
-22.1MiB live, 29.6MiB allocated; 3ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.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 x x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
Calls

3 calls:

5.0ms
eps
2.0ms
x
1.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
97.1%2(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
90.5%3x
88.0%3eps
Compiler

Compiled 11 to 11 computations (0% saved)

regimes3.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps 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
73.4%1eps
73.4%1x
73.4%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
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
5e-324
Compiler

Compiled 12 to 12 computations (0% saved)

simplify113.0ms (4.7%)

Memory
-15.7MiB live, 78.7MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02269
12969
26069
317969
460461
5207961
6784461
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))
(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 x x) eps)) #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) 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 x x) eps)) #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

derivations82.0ms (3.4%)

Memory
27.5MiB live, 72.0MiB allocated; 5ms collecting garbage
Stop Event
done
Compiler

Compiled 69 to 23 computations (66.7% saved)

preprocess54.0ms (2.2%)

Memory
-5.0MiB live, 42.5MiB allocated; 12ms collecting garbage
Compiler

Compiled 156 to 60 computations (61.5% saved)

end0.0ms (0%)

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

Profiling

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