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

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	25.7%	74.3%	0.0%	0.0%	0.0%	0
100.0%	25.7%	0.0%	74.3%	0.0%	0.0%	0.0%	1

Compiler

Compiled 25 to 18 computations (28.0% saved)

sample1.1s (48.2%)

Memory

11.8MiB live, 1 679.8MiB allocated; 453ms collecting garbage

Samples

451.0ms	5 112×	0	valid
323.0ms	2 527×	1	valid
85.0ms	617×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 614.0ms

ival-pow2: 418.0ms (68.0% of total)

adjust: 71.0ms (11.6% of total)

ival-add!: 69.0ms (11.2% of total)

ival-sub!: 56.0ms (9.1% of total)

Bogosity

preprocess37.0ms (1.6%)

Memory

-41.4MiB live, 61.4MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	62
1	74	54
2	338	54
3	1663	54

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.3%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample0.0ms (0.0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
2

Outputs
#s(literal 2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series13.0ms (0.5%)

Memory

26.6MiB live, 26.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	353

Stop Event

1×	iter-limit

Counts

7 → 23

Calls

Call 1

Inputs
x
eps
(+.f64 x eps)
#s(literal 2 binary64)
(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Outputs
#s(approx x x)
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (pow (+ x eps) 2) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (pow (+ x eps) 2) (fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (pow (+ x eps) 2) (fma.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) eps)) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (pow (+ x eps) 2) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 eps x)))))
#s(approx (pow (+ x eps) 2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 eps x) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 #s(literal 2 binary64) (.f64 eps x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (+ x eps) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (pow (+ x eps) 2) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) eps (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -2 binary64) eps (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (pow (+ x eps) 2) (fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow (+ x eps) 2) (fma.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (pow (+ x eps) 2) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (pow (+ x eps) 2) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (+ x eps) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (pow (+ x eps) 2) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))) eps)))))

Calls

6 calls:

Time	Variable	Point
1.0ms	x	-inf
1.0ms	eps	-inf
1.0ms	x	inf
1.0ms	x	0
1.0ms	eps	inf

rewrite184.0ms (7.9%)

Memory

6.8MiB live, 282.4MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	69	23
2	248	23
3	1181	23
0	4118	23

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

7 → 500

Calls

Call 1

Inputs
x
eps
(+.f64 x eps)
#s(literal 2 binary64)
(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Outputs
x
eps
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 x)) eps)) eps)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) eps)) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x)
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (.f64 x x) (.f64 eps (neg.f64 (neg.f64 x))))))
(/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 eps eps (+.f64 (.f64 x x) (.f64 eps (neg.f64 x)))))
(/.f64 (*.f64 (-.f64 eps x) (+.f64 eps x)) (-.f64 eps x))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (.f64 x x) (.f64 eps x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (.f64 eps eps) (.f64 (neg.f64 eps) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 eps eps) (.f64 eps x))))
(neg.f64 (-.f64 (neg.f64 x) eps))
(-.f64 eps (neg.f64 (neg.f64 (neg.f64 x))))
(-.f64 eps (neg.f64 x))
(-.f64 x (neg.f64 eps))
(+.f64 eps (neg.f64 (neg.f64 x)))
(+.f64 eps x)
(+.f64 x eps)
#s(literal 2 binary64)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 x x) eps) (fma.f64 eps eps (.f64 x x)))) (fma.f64 eps eps (.f64 x x)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (fma.f64 eps eps (.f64 #s(literal -2 binary64) (.f64 eps (neg.f64 x)))))) (fma.f64 eps eps (.f64 #s(literal -2 binary64) (.f64 eps (neg.f64 x)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (neg.f64 eps) eps)) (fma.f64 (+.f64 eps x) x (.f64 eps x)))) (fma.f64 (+.f64 eps x) x (.f64 eps x)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 eps eps)) (.f64 (+.f64 x x) eps))) (.f64 (+.f64 x x) eps))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 eps x)) (fma.f64 eps eps (.f64 x x)))) (fma.f64 eps eps (*.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (neg.f64 x) eps) x) (.f64 (+.f64 eps x) eps))) (.f64 (+.f64 eps x) eps))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) (+.f64 eps x)) (.f64 (+.f64 eps x) eps))) (.f64 (+.f64 eps x) eps))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (+.f64 eps x) x)) (.f64 (+.f64 eps x) eps))) (.f64 (+.f64 eps x) eps))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (neg.f64 x) eps) eps) (.f64 (+.f64 eps x) x))) (.f64 (+.f64 eps x) x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 eps) (+.f64 eps x)) (.f64 (+.f64 eps x) x))) (.f64 (+.f64 eps x) x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (+.f64 eps x) eps)) (.f64 (+.f64 eps x) x))) (.f64 (+.f64 eps x) x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) x) (.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))) (.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (+.f64 eps x) x (.f64 eps x))) (.f64 eps eps))) (.f64 eps eps))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 eps (fma.f64 #s(literal 2 binary64) x eps))) (.f64 x x))) (.f64 x x))
(*.f64 (pow.f64 (fabs.f64 (+.f64 eps x)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 (+.f64 eps x)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (-.f64 (neg.f64 x) eps) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (-.f64 (neg.f64 x) eps) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 (+.f64 eps x)))) (neg.f64 (neg.f64 (fabs.f64 (+.f64 eps x)))))
(*.f64 (pow.f64 (fabs.f64 (+.f64 eps x)) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 (+.f64 eps x)) #s(literal 1 binary64)) (fabs.f64 (+.f64 eps x)))
(*.f64 (pow.f64 (-.f64 (neg.f64 x) eps) #s(literal 1 binary64)) (pow.f64 (-.f64 (neg.f64 x) eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (neg.f64 x) eps) #s(literal 1 binary64)) (-.f64 (neg.f64 x) eps))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 eps x) x) (.f64 (+.f64 eps x) eps))) (.f64 (+.f64 eps x) eps))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 eps x) eps) (.f64 (+.f64 eps x) x))) (.f64 (+.f64 eps x) x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))) (.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 eps x) x (.f64 eps x)) (.f64 eps eps))) (.f64 eps eps))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (.f64 x x))) (.f64 x x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 eps) eps) (fma.f64 (+.f64 eps x) x (.f64 eps x)))) (fma.f64 (+.f64 eps x) x (.f64 eps x)))
(*.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (neg.f64 (fabs.f64 (+.f64 eps x))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps eps) (fma.f64 (+.f64 eps x) x (.f64 eps x)))) (fma.f64 (+.f64 eps x) x (.f64 eps x)))
(*.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 (+.f64 eps x)))
(*.f64 (-.f64 (neg.f64 x) eps) (-.f64 (neg.f64 x) eps))
(*.f64 (pow.f64 (+.f64 eps x) #s(literal 1 binary64)) (pow.f64 (+.f64 eps x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 eps x) #s(literal 1 binary64)) (+.f64 eps x))
(*.f64 (pow.f64 (+.f64 eps x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (+.f64 eps x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (+.f64 eps x) (+.f64 eps x))
(pow.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (+.f64 eps x)) #s(literal 2 binary64))
(pow.f64 (-.f64 (neg.f64 x) eps) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (+.f64 eps x) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 eps eps (.f64 x x)) (fma.f64 eps eps (.f64 x x))) (.f64 (.f64 (+.f64 x x) eps) (.f64 (+.f64 x x) eps))) (-.f64 (fma.f64 eps eps (.f64 x x)) (.f64 (+.f64 x x) eps)))
(/.f64 (-.f64 (.f64 (fma.f64 eps eps (.f64 #s(literal -2 binary64) (.f64 eps (neg.f64 x)))) (fma.f64 eps eps (.f64 #s(literal -2 binary64) (.f64 eps (neg.f64 x))))) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (fma.f64 eps eps (.f64 #s(literal -2 binary64) (.f64 eps (neg.f64 x)))) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (fma.f64 (+.f64 eps x) x (.f64 eps x)) (fma.f64 (+.f64 eps x) x (.f64 eps x))) (.f64 (neg.f64 (.f64 (neg.f64 eps) eps)) (neg.f64 (.f64 (neg.f64 eps) eps)))) (-.f64 (fma.f64 (+.f64 eps x) x (.f64 eps x)) (neg.f64 (.f64 (neg.f64 eps) eps))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 x x) eps) (.f64 (+.f64 x x) eps)) (.f64 (fma.f64 x x (.f64 eps eps)) (fma.f64 x x (.f64 eps eps)))) (-.f64 (.f64 (+.f64 x x) eps) (fma.f64 x x (.f64 eps eps))))
(/.f64 (-.f64 (.f64 (fma.f64 eps eps (.f64 x x)) (fma.f64 eps eps (.f64 x x))) (.f64 (.f64 #s(literal -2 binary64) (.f64 eps x)) (.f64 #s(literal -2 binary64) (.f64 eps x)))) (+.f64 (fma.f64 eps eps (.f64 x x)) (.f64 #s(literal -2 binary64) (*.f64 eps x))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 eps x) eps) (.f64 (+.f64 eps x) eps)) (.f64 (.f64 (-.f64 (neg.f64 x) eps) x) (.f64 (-.f64 (neg.f64 x) eps) x))) (+.f64 (.f64 (+.f64 eps x) eps) (.f64 (-.f64 (neg.f64 x) eps) x)))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 eps x) eps) (.f64 (+.f64 eps x) eps)) (.f64 (.f64 (neg.f64 x) (+.f64 eps x)) (.f64 (neg.f64 x) (+.f64 eps x)))) (+.f64 (.f64 (+.f64 eps x) eps) (.f64 (neg.f64 x) (+.f64 eps x))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 eps x) eps) (.f64 (+.f64 eps x) eps)) (.f64 (neg.f64 (.f64 (+.f64 eps x) x)) (neg.f64 (.f64 (+.f64 eps x) x)))) (+.f64 (.f64 (+.f64 eps x) eps) (neg.f64 (.f64 (+.f64 eps x) x))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 eps x) x) (.f64 (+.f64 eps x) x)) (.f64 (.f64 (-.f64 (neg.f64 x) eps) eps) (.f64 (-.f64 (neg.f64 x) eps) eps))) (+.f64 (.f64 (+.f64 eps x) x) (.f64 (-.f64 (neg.f64 x) eps) eps)))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 eps x) x) (.f64 (+.f64 eps x) x)) (.f64 (.f64 (neg.f64 eps) (+.f64 eps x)) (.f64 (neg.f64 eps) (+.f64 eps x)))) (+.f64 (.f64 (+.f64 eps x) x) (.f64 (neg.f64 eps) (+.f64 eps x))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 eps x) x) (.f64 (+.f64 eps x) x)) (.f64 (neg.f64 (.f64 (+.f64 eps x) eps)) (neg.f64 (.f64 (+.f64 eps x) eps)))) (+.f64 (.f64 (+.f64 eps x) x) (neg.f64 (.f64 (+.f64 eps x) eps))))
(/.f64 (-.f64 (.f64 (.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (.f64 eps (fma.f64 #s(literal 2 binary64) x eps))) (.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x))) (-.f64 (.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (neg.f64 (fma.f64 (+.f64 eps x) x (.f64 eps x))) (neg.f64 (fma.f64 (+.f64 eps x) x (.f64 eps x))))) (+.f64 (.f64 eps eps) (neg.f64 (fma.f64 (+.f64 eps x) x (.f64 eps x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (neg.f64 (.f64 eps (fma.f64 #s(literal 2 binary64) x eps))) (neg.f64 (.f64 eps (fma.f64 #s(literal 2 binary64) x eps))))) (-.f64 (.f64 x x) (.f64 eps (fma.f64 #s(literal 2 binary64) x eps))))
(/.f64 (+.f64 (pow.f64 (fma.f64 eps eps (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 x x) eps) #s(literal 3 binary64))) (fma.f64 (fma.f64 eps eps (.f64 x x)) (fma.f64 eps eps (.f64 x x)) (-.f64 (.f64 (.f64 (+.f64 x x) eps) (.f64 (+.f64 x x) eps)) (.f64 (fma.f64 eps eps (.f64 x x)) (.f64 (+.f64 x x) eps)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 eps eps (.f64 #s(literal -2 binary64) (.f64 eps (neg.f64 x)))) #s(literal 3 binary64)) (pow.f64 (.f64 x x) #s(literal 3 binary64))) (fma.f64 (fma.f64 eps eps (.f64 #s(literal -2 binary64) (.f64 eps (neg.f64 x)))) (fma.f64 eps eps (.f64 #s(literal -2 binary64) (.f64 eps (neg.f64 x)))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 eps eps (.f64 #s(literal -2 binary64) (.f64 eps (neg.f64 x)))) (.f64 x x)))))
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(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (.f64 eps eps)) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 x x) eps) (.f64 (+.f64 x x) eps) (-.f64 (.f64 (fma.f64 x x (.f64 eps eps)) (fma.f64 x x (.f64 eps eps))) (.f64 (.f64 (+.f64 x x) eps) (fma.f64 x x (.f64 eps eps))))))
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(fma.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (neg.f64 (fabs.f64 (+.f64 eps x))) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) x))
(fma.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (neg.f64 (fabs.f64 (+.f64 eps x))) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (neg.f64 (fma.f64 (.f64 #s(literal -2 binary64) eps) x (.f64 (-.f64 x eps) (+.f64 eps x)))))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (fma.f64 (+.f64 x x) eps (*.f64 (-.f64 eps x) (+.f64 eps x))))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (-.f64 (.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (.f64 x x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x) (*.f64 (neg.f64 (neg.f64 (fabs.f64 (+.f64 eps x)))) (fabs.f64 (+.f64 eps x))))
(fma.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x) (*.f64 (+.f64 eps x) (+.f64 eps x)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (neg.f64 (fma.f64 (.f64 #s(literal -2 binary64) eps) x (.f64 (-.f64 x eps) (+.f64 eps x)))))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (fma.f64 (+.f64 x x) eps (*.f64 (-.f64 eps x) (+.f64 eps x))))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (-.f64 (.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (.f64 x x)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 (fabs.f64 (+.f64 eps x)))) (fabs.f64 (+.f64 eps x))))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 x) (*.f64 (+.f64 eps x) (+.f64 eps x)))
(fma.f64 (neg.f64 (neg.f64 x)) x (neg.f64 (fma.f64 (.f64 #s(literal -2 binary64) eps) x (.f64 (-.f64 x eps) (+.f64 eps x)))))
(fma.f64 (neg.f64 (neg.f64 x)) x (fma.f64 (+.f64 x x) eps (*.f64 (-.f64 eps x) (+.f64 eps x))))
(fma.f64 (neg.f64 (neg.f64 x)) x (-.f64 (.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (.f64 x x)))
(fma.f64 (+.f64 x x) eps (fma.f64 x x (*.f64 (-.f64 eps x) (+.f64 eps x))))
(fma.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 (+.f64 eps x)) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x))))
(fma.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 (+.f64 eps x)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x))))
(fma.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 (+.f64 eps x)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) x))
(fma.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 (+.f64 eps x)) (*.f64 (neg.f64 x) x))
(fma.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (neg.f64 (fabs.f64 (+.f64 eps x)))) (fabs.f64 (+.f64 eps x))))
(fma.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x)) (*.f64 (+.f64 eps x) (+.f64 eps x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (neg.f64 (fma.f64 (.f64 #s(literal -2 binary64) eps) x (.f64 (-.f64 x eps) (+.f64 eps x)))))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (fma.f64 (+.f64 x x) eps (*.f64 (-.f64 eps x) (+.f64 eps x))))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (-.f64 (.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (.f64 x x)))
(fma.f64 (-.f64 (neg.f64 x) eps) (+.f64 (neg.f64 eps) x) (fma.f64 (+.f64 eps x) x (*.f64 eps x)))
(fma.f64 (-.f64 (neg.f64 x) eps) (-.f64 (neg.f64 x) eps) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x))))
(fma.f64 (-.f64 (neg.f64 x) eps) (-.f64 (neg.f64 x) eps) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x))))
(fma.f64 (-.f64 (neg.f64 x) eps) (-.f64 (neg.f64 x) eps) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) x))
(fma.f64 (-.f64 (neg.f64 x) eps) (-.f64 (neg.f64 x) eps) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 x) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 (fabs.f64 (+.f64 eps x)))) (fabs.f64 (+.f64 eps x))))
(fma.f64 (neg.f64 x) (neg.f64 (neg.f64 x)) (*.f64 (+.f64 eps x) (+.f64 eps x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 (fma.f64 (.f64 #s(literal -2 binary64) eps) x (.f64 (-.f64 x eps) (+.f64 eps x)))))
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 (+.f64 x x) eps (*.f64 (-.f64 eps x) (+.f64 eps x))))
(fma.f64 (neg.f64 x) (neg.f64 x) (-.f64 (.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (.f64 x x)))
(fma.f64 (neg.f64 x) x (*.f64 (neg.f64 (neg.f64 (fabs.f64 (+.f64 eps x)))) (fabs.f64 (+.f64 eps x))))
(fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) (+.f64 eps x)))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (-.f64 (fma.f64 (+.f64 eps x) x (.f64 eps x)) (.f64 x x)))
(fma.f64 (.f64 (+.f64 x x) eps) #s(literal 1 binary64) (fma.f64 x x (.f64 (-.f64 eps x) (+.f64 eps x))))
(fma.f64 (.f64 eps x) #s(literal 2 binary64) (fma.f64 x x (.f64 (-.f64 eps x) (+.f64 eps x))))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) (.f64 eps x)) (fma.f64 x x (*.f64 (-.f64 eps x) (+.f64 eps x))))
(fma.f64 #s(literal 2 binary64) (.f64 eps x) (fma.f64 x x (.f64 (-.f64 eps x) (+.f64 eps x))))
(fma.f64 (+.f64 eps x) (-.f64 eps x) (fma.f64 (+.f64 eps x) x (*.f64 eps x)))
(fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x))))
(fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x))))
(fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) x))
(fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 (neg.f64 x) x))
(fma.f64 (+.f64 eps x) eps (-.f64 (.f64 (+.f64 eps x) x) (.f64 x x)))
(fma.f64 (+.f64 eps x) x (-.f64 (.f64 (+.f64 eps x) eps) (.f64 x x)))
(fma.f64 eps (+.f64 x x) (fma.f64 x x (*.f64 (-.f64 eps x) (+.f64 eps x))))
(fma.f64 eps (fma.f64 #s(literal 2 binary64) x eps) (*.f64 (-.f64 x x) (+.f64 x x)))
(fma.f64 eps (+.f64 eps x) (-.f64 (.f64 (+.f64 eps x) x) (.f64 x x)))
(fma.f64 eps eps (-.f64 (fma.f64 (+.f64 eps x) x (.f64 eps x)) (.f64 x x)))
(fma.f64 x (.f64 eps #s(literal 2 binary64)) (fma.f64 x x (.f64 (-.f64 eps x) (+.f64 eps x))))
(fma.f64 x (+.f64 eps eps) (fma.f64 x x (*.f64 (-.f64 eps x) (+.f64 eps x))))
(fma.f64 x (neg.f64 (neg.f64 x)) (neg.f64 (fma.f64 (.f64 #s(literal -2 binary64) eps) x (.f64 (-.f64 x eps) (+.f64 eps x)))))
(fma.f64 x (neg.f64 (neg.f64 x)) (fma.f64 (+.f64 x x) eps (*.f64 (-.f64 eps x) (+.f64 eps x))))
(fma.f64 x (neg.f64 (neg.f64 x)) (-.f64 (.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (.f64 x x)))
(fma.f64 x (neg.f64 x) (*.f64 (neg.f64 (neg.f64 (fabs.f64 (+.f64 eps x)))) (fabs.f64 (+.f64 eps x))))
(fma.f64 x (neg.f64 x) (*.f64 (+.f64 eps x) (+.f64 eps x)))
(fma.f64 x (+.f64 eps x) (-.f64 (.f64 (+.f64 eps x) eps) (.f64 x x)))
(fma.f64 x x (neg.f64 (fma.f64 (.f64 #s(literal -2 binary64) eps) x (.f64 (-.f64 x eps) (+.f64 eps x)))))
(fma.f64 x x (fma.f64 (+.f64 x x) eps (*.f64 (-.f64 eps x) (+.f64 eps x))))
(fma.f64 x x (-.f64 (.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (.f64 x x)))
(-.f64 (fma.f64 (neg.f64 x) x (.f64 (+.f64 eps x) eps)) (.f64 x (-.f64 (neg.f64 x) eps)))
(-.f64 (fma.f64 (neg.f64 x) x (.f64 (+.f64 eps x) eps)) (.f64 (-.f64 (neg.f64 x) eps) x))
(-.f64 (fma.f64 (neg.f64 x) x (.f64 (+.f64 eps x) eps)) (.f64 (neg.f64 x) (+.f64 eps x)))
(-.f64 (fma.f64 (neg.f64 x) x (.f64 (+.f64 eps x) eps)) (neg.f64 (.f64 (+.f64 eps x) x)))
(-.f64 (fma.f64 (neg.f64 x) x (.f64 (+.f64 eps x) x)) (.f64 eps (-.f64 (neg.f64 x) eps)))
(-.f64 (fma.f64 (neg.f64 x) x (.f64 (+.f64 eps x) x)) (.f64 (-.f64 (neg.f64 x) eps) eps))
(-.f64 (fma.f64 (neg.f64 x) x (.f64 (+.f64 eps x) x)) (.f64 (neg.f64 eps) (+.f64 eps x)))
(-.f64 (fma.f64 (neg.f64 x) x (.f64 (+.f64 eps x) x)) (neg.f64 (.f64 (+.f64 eps x) eps)))
(-.f64 (fma.f64 (neg.f64 x) x (.f64 eps (fma.f64 #s(literal 2 binary64) x eps))) (.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x))))
(-.f64 (fma.f64 (neg.f64 x) x (.f64 eps (fma.f64 #s(literal 2 binary64) x eps))) (.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x))))
(-.f64 (fma.f64 (neg.f64 x) x (.f64 eps (fma.f64 #s(literal 2 binary64) x eps))) (.f64 (neg.f64 (neg.f64 (neg.f64 x))) x))
(-.f64 (fma.f64 (neg.f64 x) x (.f64 eps (fma.f64 #s(literal 2 binary64) x eps))) (.f64 (neg.f64 x) x))
(-.f64 (fma.f64 (neg.f64 x) x (.f64 x x)) (.f64 (neg.f64 eps) (fma.f64 #s(literal 2 binary64) x eps)))
(-.f64 (fma.f64 (neg.f64 x) x (.f64 x x)) (neg.f64 (.f64 eps (fma.f64 #s(literal 2 binary64) x eps))))
(-.f64 (fma.f64 (neg.f64 x) x (fma.f64 (+.f64 eps x) x (.f64 eps x))) (.f64 (neg.f64 (fabs.f64 eps)) (fabs.f64 eps)))
(-.f64 (fma.f64 (neg.f64 x) x (fma.f64 (+.f64 eps x) x (.f64 eps x))) (.f64 (neg.f64 eps) eps))
(-.f64 (.f64 (-.f64 eps x) (+.f64 eps x)) (neg.f64 (fma.f64 (+.f64 eps x) x (.f64 eps x))))
(-.f64 (.f64 (+.f64 eps x) eps) (-.f64 (.f64 x x) (*.f64 (+.f64 eps x) x)))
(-.f64 (.f64 (+.f64 eps x) x) (-.f64 (.f64 x x) (*.f64 (+.f64 eps x) eps)))
(-.f64 (.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (.f64 (-.f64 x x) (+.f64 x x)))
(-.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 (neg.f64 (fabs.f64 (+.f64 eps x)))) (neg.f64 (fabs.f64 (+.f64 eps x)))))
(-.f64 (.f64 (neg.f64 x) x) (.f64 (-.f64 (neg.f64 x) eps) (+.f64 eps x)))
(-.f64 (.f64 eps eps) (fma.f64 (-.f64 x x) (+.f64 x x) (.f64 #s(literal -2 binary64) (*.f64 eps x))))
(-.f64 (fma.f64 (+.f64 eps x) x (.f64 eps x)) (.f64 (neg.f64 (+.f64 eps (fabs.f64 x))) (-.f64 eps (fabs.f64 x))))
(-.f64 (fma.f64 (+.f64 eps x) x (.f64 eps x)) (.f64 (-.f64 (neg.f64 x) eps) (-.f64 eps x)))
(-.f64 (fma.f64 (+.f64 eps x) x (.f64 eps x)) (.f64 (-.f64 x eps) (+.f64 eps x)))
(-.f64 (.f64 (+.f64 x x) eps) (neg.f64 (fma.f64 x x (.f64 (-.f64 eps x) (+.f64 eps x)))))
(-.f64 (.f64 x x) (neg.f64 (fma.f64 (+.f64 x x) eps (.f64 (-.f64 eps x) (+.f64 eps x)))))
(-.f64 (.f64 x x) (fma.f64 (.f64 #s(literal -2 binary64) eps) x (*.f64 (-.f64 x eps) (+.f64 eps x))))
(-.f64 (.f64 x x) (-.f64 (.f64 x x) (*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))))
(-.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x)))
(-.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(-.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 x x))
(+.f64 (fma.f64 (neg.f64 x) x (.f64 (+.f64 eps x) eps)) (.f64 (+.f64 eps x) x))
(+.f64 (fma.f64 (neg.f64 x) x (.f64 (+.f64 eps x) x)) (.f64 (+.f64 eps x) eps))
(+.f64 (fma.f64 (neg.f64 x) x (.f64 eps (fma.f64 #s(literal 2 binary64) x eps))) (.f64 x x))
(+.f64 (fma.f64 (neg.f64 x) x (.f64 x x)) (.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))
(+.f64 (fma.f64 (neg.f64 x) x (fma.f64 (+.f64 eps x) x (.f64 eps x))) (neg.f64 (.f64 (neg.f64 eps) eps)))
(+.f64 (fma.f64 (neg.f64 x) x (fma.f64 (+.f64 eps x) x (.f64 eps x))) (.f64 eps eps))
(+.f64 (.f64 (-.f64 eps x) (+.f64 eps x)) (fma.f64 (+.f64 eps x) x (.f64 eps x)))
(+.f64 (.f64 (+.f64 eps x) eps) (-.f64 (.f64 (+.f64 eps x) x) (*.f64 x x)))
(+.f64 (.f64 (+.f64 eps x) x) (-.f64 (.f64 (+.f64 eps x) eps) (*.f64 x x)))
(+.f64 (.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (.f64 (-.f64 x x) (+.f64 x x)))
(+.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 (neg.f64 (fabs.f64 (+.f64 eps x)))) (fabs.f64 (+.f64 eps x))))
(+.f64 (.f64 (neg.f64 x) x) (.f64 (+.f64 eps x) (+.f64 eps x)))
(+.f64 (.f64 eps eps) (-.f64 (fma.f64 (+.f64 eps x) x (.f64 eps x)) (*.f64 x x)))
(+.f64 (fma.f64 (+.f64 eps x) x (.f64 eps x)) (.f64 (-.f64 eps x) (+.f64 eps x)))
(+.f64 (.f64 (+.f64 x x) eps) (fma.f64 x x (.f64 (-.f64 eps x) (+.f64 eps x))))
(+.f64 (.f64 x x) (neg.f64 (fma.f64 (.f64 #s(literal -2 binary64) eps) x (*.f64 (-.f64 x eps) (+.f64 eps x)))))
(+.f64 (.f64 x x) (fma.f64 (+.f64 x x) eps (.f64 (-.f64 eps x) (+.f64 eps x))))
(+.f64 (.f64 x x) (-.f64 (.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 x x)))
(+.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x))))
(+.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x))))
(+.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (neg.f64 (neg.f64 (neg.f64 x))) x))
(+.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (neg.f64 x) x))

eval55.0ms (2.4%)

Memory: -28.7MiB live, 170.9MiB allocated; 31ms collecting garbage
Compiler: Compiled 11 806 to 1 559 computations (86.8% saved)

prune11.0ms (0.5%)

Memory

9.2MiB live, 56.3MiB allocated; 2ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	513	5	518
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	514	5	519

Accuracy

100.0%

Counts

519 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.9%	(fma.f64 (-.f64 eps x) (+.f64 eps x) (fma.f64 (+.f64 eps x) x (*.f64 eps x)))
▶	71.3%	(-.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 x x))
▶	99.9%	(-.f64 (.f64 eps eps) (fma.f64 (-.f64 x x) (+.f64 x x) (.f64 #s(literal -2 binary64) (*.f64 eps x))))
▶	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))))
▶	68.1%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 #s(literal 2 binary64) (.f64 eps x)))

Compiler

Compiled 148 to 92 computations (37.8% saved)

sample0.0ms (0.0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
2
-2

Outputs
#s(literal 2 binary64)
#s(literal -2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series51.0ms (2.2%)

Memory

-3.1MiB live, 48.1MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	228	1101

Stop Event

1×	iter-limit

Counts

24 → 57

Calls

Call 1

Inputs
x
eps
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) x)
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))))
(*.f64 eps x)
(.f64 #s(literal 2 binary64) (.f64 eps x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 #s(literal 2 binary64) (.f64 eps x)))
(+.f64 eps x)
(*.f64 (+.f64 eps x) (+.f64 eps x))
(*.f64 x x)
(-.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 x x))
(-.f64 eps x)
(fma.f64 (+.f64 eps x) x (*.f64 eps x))
(fma.f64 (-.f64 eps x) (+.f64 eps x) (fma.f64 (+.f64 eps x) x (*.f64 eps x)))
(*.f64 eps eps)
(-.f64 x x)
(+.f64 x x)
#s(literal -2 binary64)
(.f64 #s(literal -2 binary64) (.f64 eps x))
(fma.f64 (-.f64 x x) (+.f64 x x) (.f64 #s(literal -2 binary64) (.f64 eps x)))
(-.f64 (.f64 eps eps) (fma.f64 (-.f64 x x) (+.f64 x x) (.f64 #s(literal -2 binary64) (*.f64 eps x))))

Outputs
#s(approx x x)
#s(approx (* 2 x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ eps (* 2 x)) eps)
#s(approx (+ eps (* 2 x)) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx (* eps (+ eps (* 2 x))) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (* eps (+ eps (* 2 x))) (fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* eps x) (*.f64 eps x))
#s(approx (* 2 (* eps x)) (.f64 #s(literal 2 binary64) (.f64 eps x)))
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (* (+ eps x) (+ eps x)) (fma.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) eps)) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (- eps x) (+.f64 eps (*.f64 #s(literal -1 binary64) x)))
#s(approx (+ (* (+ eps x) x) (* eps x)) (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) eps))))
#s(approx (+ (* (- eps x) (+ eps x)) (+ (* (+ eps x) x) (* eps x))) (fma.f64 x (+.f64 eps (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 2 binary64) eps))) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (- x x) #s(literal 0 binary64))
#s(approx (* -2 (* eps x)) (.f64 #s(literal -2 binary64) (.f64 eps x)))
#s(approx (+ eps (* 2 x)) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(approx (* eps (+ eps (* 2 x))) (*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (+ eps x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (* (+ eps x) (+ eps x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 eps x)))))
#s(approx (* (+ eps x) (+ eps x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 eps x) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- eps x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- eps x) (*.f64 x (-.f64 (/.f64 eps x) #s(literal 1 binary64))))
#s(approx (+ (* (- eps x) (+ eps x)) (+ (* (+ eps x) x) (* eps x))) (.f64 x (+.f64 eps (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 2 binary64) eps)))))
#s(approx (+ (* (- eps x) (+ eps x)) (+ (* (+ eps x) x) (* eps x))) (*.f64 x (+.f64 eps (fma.f64 #s(literal -1 binary64) eps (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (- (* eps eps) (+ (* (- x x) (+ x x)) (* -2 (* eps x)))) (.f64 x (-.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 #s(literal -2 binary64) eps))))
#s(approx (+ eps (* 2 x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (* eps (+ eps (* 2 x))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -2 binary64) eps (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (+ eps x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (* (+ eps x) (+ eps x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) eps (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) x)))))
#s(approx (- eps x) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 eps x))))))
#s(approx (+ (* (- eps x) (+ eps x)) (+ (* (+ eps x) x) (* eps x))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 eps (fma.f64 #s(literal -2 binary64) eps (*.f64 #s(literal -1 binary64) eps))))))
#s(approx (+ (* (- eps x) (+ eps x)) (+ (* (+ eps x) x) (* eps x))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 eps (fma.f64 #s(literal -2 binary64) eps (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))))
#s(approx (- (* eps eps) (+ (* (- x x) (+ x x)) (* -2 (* eps x)))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (.f64 #s(literal 2 binary64) eps)))))
#s(approx (* eps (+ eps (* 2 x))) (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))))
#s(approx (* (+ eps x) (+ eps x)) (fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (+ eps x) (+ eps x)) (fma.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- eps x) (-.f64 eps x))
#s(approx (+ (* (- eps x) (+ eps x)) (+ (* (+ eps x) x) (* eps x))) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (- eps x) (+ eps x)) (+ (* (+ eps x) x) (* eps x))) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps (+.f64 x (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (* (- eps x) (+ eps x)) (+ (* (+ eps x) x) (* eps x))) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps (+.f64 eps (+.f64 x (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 2 binary64) x)))) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (- (* eps eps) (+ (* (- x x) (+ x x)) (* -2 (* eps x)))) (.f64 eps (-.f64 eps (.f64 #s(literal -2 binary64) x))))
#s(approx (+ eps (* 2 x)) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (* eps (+ eps (* 2 x))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (+ eps x) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (* (+ eps x) (+ eps x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- eps x) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x eps)))))
#s(approx (+ (* (+ eps x) x) (* eps x)) (*.f64 eps (fma.f64 #s(literal 2 binary64) x (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))
#s(approx (+ (* (- eps x) (+ eps x)) (+ (* (+ eps x) x) (* eps x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) (/.f64 x eps))))))
#s(approx (+ (* (- eps x) (+ eps x)) (+ (* (+ eps x) x) (* eps x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) (+.f64 (/.f64 x eps) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))))))))))
#s(approx (+ eps (* 2 x)) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (+ eps x) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (* (+ eps x) (+ eps x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))) eps)))))
#s(approx (- eps x) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (/.f64 x eps) #s(literal 1 binary64)))))
#s(approx (+ (* (+ eps x) x) (* eps x)) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))))
#s(approx (+ (* (- eps x) (+ eps x)) (+ (* (+ eps x) x) (* eps x))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x (.f64 #s(literal -1 binary64) (+.f64 x (.f64 #s(literal -1 binary64) x)))) eps)))))
#s(approx (+ (* (- eps x) (+ eps x)) (+ (* (+ eps x) x) (* eps x))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x (fma.f64 #s(literal -1 binary64) (+.f64 x (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) eps)))) eps)))))

Calls

6 calls:

Time	Variable	Point
4.0ms	x	-inf
2.0ms	x	inf
2.0ms	eps	-inf
2.0ms	x	0
2.0ms	eps	inf

rewrite207.0ms (8.9%)

Memory

-0.3MiB live, 379.5MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	151
0	49	134
1	325	126
2	1365	126
0	4078	116

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

24 → 891

Calls

Call 1

Inputs
x
eps
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) x)
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))))
(*.f64 eps x)
(.f64 #s(literal 2 binary64) (.f64 eps x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 #s(literal 2 binary64) (.f64 eps x)))
(+.f64 eps x)
(*.f64 (+.f64 eps x) (+.f64 eps x))
(*.f64 x x)
(-.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 x x))
(-.f64 eps x)
(fma.f64 (+.f64 eps x) x (*.f64 eps x))
(fma.f64 (-.f64 eps x) (+.f64 eps x) (fma.f64 (+.f64 eps x) x (*.f64 eps x)))
(*.f64 eps eps)
(-.f64 x x)
(+.f64 x x)
#s(literal -2 binary64)
(.f64 #s(literal -2 binary64) (.f64 eps x))
(fma.f64 (-.f64 x x) (+.f64 x x) (.f64 #s(literal -2 binary64) (.f64 eps x)))
(-.f64 (.f64 eps eps) (fma.f64 (-.f64 x x) (+.f64 x x) (.f64 #s(literal -2 binary64) (*.f64 eps x))))

Outputs
x
eps
#s(literal 2 binary64)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)))) (.f64 x #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 x)) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x)) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x (neg.f64 (neg.f64 x))))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (+.f64 x (neg.f64 x)))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) #s(literal 0 binary64))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64))) (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (-.f64 (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64))) (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) (-.f64 (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x (neg.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x x (*.f64 (neg.f64 x) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(-.f64 (.f64 x #s(literal 1 binary64)) (neg.f64 (.f64 x #s(literal 1 binary64))))
(-.f64 (.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 #s(literal 1 binary64) x)))
(-.f64 x (neg.f64 (neg.f64 (neg.f64 x))))
(-.f64 x (neg.f64 x))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x))
(+.f64 x (neg.f64 (neg.f64 x)))
(+.f64 x x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps x) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (+.f64 eps x))) (+.f64 eps x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) (+.f64 x x))) (+.f64 x x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 eps) x) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps (+.f64 x x))) (+.f64 x x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 eps x))) (+.f64 eps x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) x) eps)) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) eps)) eps)
(/.f64 (*.f64 (-.f64 eps #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x eps)) (-.f64 eps #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 eps #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x eps))) (-.f64 x (+.f64 eps x)))
(/.f64 (-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (.f64 eps eps)) (+.f64 (+.f64 x x) (neg.f64 eps)))
(/.f64 (-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (.f64 eps eps)) (-.f64 (+.f64 x x) eps))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 eps x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (+.f64 eps x) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (+.f64 (.f64 x x) (.f64 (+.f64 eps x) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x x) #s(literal 3 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 x x) (+.f64 x x) (+.f64 (.f64 eps eps) (.f64 (+.f64 x x) (neg.f64 eps)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (neg.f64 eps) x) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 x (-.f64 (neg.f64 eps) x)))))
(/.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x))) (+.f64 eps (*.f64 #s(literal -2 binary64) x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (+.f64 x x) (+.f64 x x) (-.f64 (.f64 eps eps) (.f64 (+.f64 x x) eps))))
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (-.f64 (.f64 x x) (.f64 (+.f64 eps x) x))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) (*.f64 eps x)))))
(/.f64 (-.f64 (.f64 eps eps) (.f64 (+.f64 x x) (+.f64 x x))) (-.f64 eps (+.f64 x x)))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 x x) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (.f64 (+.f64 x x) eps))))
(neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 x)) eps)) eps x)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 eps)) x)) x x)
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) eps)) eps x)
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) x)) x x)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps x)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
(-.f64 (+.f64 eps x) (neg.f64 x))
(-.f64 (+.f64 x x) (neg.f64 eps))
(-.f64 eps (*.f64 #s(literal -2 binary64) x))
(-.f64 x (-.f64 (neg.f64 eps) x))
(+.f64 (+.f64 eps x) x)
(+.f64 (+.f64 x x) eps)
(+.f64 eps (+.f64 x x))
(+.f64 x (+.f64 eps x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps eps) (.f64 (+.f64 x x) eps))) (.f64 (+.f64 x x) eps))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 eps) (+.f64 x x)) (.f64 eps eps))) (.f64 eps eps))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 eps x)) (.f64 eps eps))) (*.f64 eps eps))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps))) (.f64 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 (+.f64 x x) eps) (.f64 (+.f64 x x) eps)) (.f64 (.f64 eps eps) (.f64 eps eps))) (-.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps)))
(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 (neg.f64 eps) (+.f64 x x)) (.f64 (neg.f64 eps) (+.f64 x x)))) (+.f64 (.f64 eps eps) (.f64 (neg.f64 eps) (+.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 #s(literal -2 binary64) (.f64 eps x)) (.f64 #s(literal -2 binary64) (.f64 eps x)))) (fma.f64 eps eps (.f64 #s(literal -2 binary64) (.f64 eps x))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) #s(literal 3 binary64)) (pow.f64 (.f64 eps eps) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 x x) eps) (.f64 (+.f64 x x) eps) (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps)))))
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(/.f64 (+.f64 (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 x x) eps #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 eps eps) (.f64 eps eps) (-.f64 (.f64 (fma.f64 (+.f64 x x) eps #s(literal 0 binary64)) (fma.f64 (+.f64 x x) eps #s(literal 0 binary64))) (.f64 (.f64 eps eps) (fma.f64 (+.f64 x x) eps #s(literal 0 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (.f64 eps x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 eps x)) (.f64 #s(literal -2 binary64) (.f64 eps x)) (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) (*.f64 eps x))))))
(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 eps x) #s(literal 0 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 eps x) #s(literal 0 binary64)))) (+.f64 (.f64 eps eps) (fma.f64 #s(literal -2 binary64) (.f64 eps x) #s(literal 0 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 eps x) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 eps eps) (.f64 eps eps) (fma.f64 (fma.f64 #s(literal -2 binary64) (.f64 eps x) #s(literal 0 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 eps x) #s(literal 0 binary64)) (.f64 (.f64 eps eps) (fma.f64 #s(literal -2 binary64) (*.f64 eps x) #s(literal 0 binary64))))))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps eps) (.f64 (+.f64 x x) eps))) (*.f64 (+.f64 x x) eps) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 eps) (+.f64 x x)) (.f64 eps eps))) (*.f64 eps eps) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 eps x)) (.f64 eps eps))) (.f64 eps eps) #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (neg.f64 (neg.f64 (fabs.f64 eps))) (fma.f64 (+.f64 x x) eps #s(literal 0 binary64)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 eps))) (neg.f64 (neg.f64 (neg.f64 eps))) (fma.f64 (+.f64 x x) eps #s(literal 0 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps))) (*.f64 eps eps) #s(literal 0 binary64))
(fma.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)) (fma.f64 (+.f64 x x) eps #s(literal 0 binary64)))
(fma.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)) (fma.f64 (+.f64 x x) eps #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps #s(literal 0 binary64))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (fma.f64 (+.f64 x x) eps #s(literal 0 binary64)))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (fma.f64 (+.f64 x x) eps #s(literal 0 binary64)))
(fma.f64 eps (fma.f64 #s(literal 2 binary64) x eps) #s(literal 0 binary64))
(fma.f64 eps eps (fma.f64 (+.f64 x x) eps #s(literal 0 binary64)))
(-.f64 (fma.f64 eps eps #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) (.f64 eps x)))
(-.f64 (fma.f64 (+.f64 x x) eps #s(literal 0 binary64)) (neg.f64 (*.f64 eps eps)))
(-.f64 (.f64 eps eps) (fma.f64 #s(literal -2 binary64) (.f64 eps x) #s(literal 0 binary64)))
(-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #s(literal 0 binary64))
(+.f64 (fma.f64 eps eps #s(literal 0 binary64)) (*.f64 (+.f64 x x) eps))
(+.f64 (fma.f64 (+.f64 x x) eps #s(literal 0 binary64)) (*.f64 eps eps))
(+.f64 (*.f64 eps eps) (fma.f64 (+.f64 x x) eps #s(literal 0 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #s(literal 0 binary64))

eval80.0ms (3.4%)

Memory: 34.1MiB live, 168.4MiB allocated; 17ms collecting garbage
Compiler: Compiled 19 302 to 2 689 computations (86.1% saved)

prune19.0ms (0.8%)

Memory

-10.7MiB live, 46.8MiB allocated; 15ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	781	6	787
Fresh	0	0	0
Picked	5	0	5
Done	0	0	0
Total	786	6	792

Accuracy

100.0%

Counts

792 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps)))
	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 (+.f64 x x) eps)))
▶	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
▶	68.2%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
▶	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x)))
▶	68.3%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps #s(approx (+ eps ( 2 x)) eps)))

Compiler

Compiled 206 to 132 computations (35.9% saved)

sample0.0ms (0.0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
2

Outputs
#s(literal 2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series15.0ms (0.7%)

Memory

-10.1MiB live, 35.4MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	267

Stop Event

1×	iter-limit

Counts

19 → 20

Calls

Call 1

Inputs
x
eps
(+.f64 x x)
(*.f64 eps eps)
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps)))
#s(approx (+ eps (* 2 x)) eps)
(.f64 eps #s(approx (+ eps ( 2 x)) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps #s(approx (+ eps ( 2 x)) eps)))
(*.f64 (+.f64 x x) eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
#s(literal 2 binary64)
(fma.f64 #s(literal 2 binary64) x eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(+.f64 eps x)
(+.f64 (+.f64 eps x) x)
(*.f64 eps (+.f64 (+.f64 eps x) x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x)))

Outputs
#s(approx x x)
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* (+ x x) eps) (* eps eps)) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (+ (* (+ x x) eps) (* eps eps)) (fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (+ eps (* 2 x)) eps)
#s(approx (+ eps (* 2 x)) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx (* (+ x x) eps) (.f64 #s(literal 2 binary64) (.f64 eps x)))
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (+ (* (+ x x) eps) (* eps eps)) (*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (+ eps (* 2 x)) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(approx (+ eps x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (+ (* (+ x x) eps) (* eps eps)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -2 binary64) eps (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (+ eps (* 2 x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (+ eps x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (+ (* (+ x x) eps) (* eps eps)) (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))))
#s(approx (+ (* (+ x x) eps) (* eps eps)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (+ eps (* 2 x)) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (+ eps x) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (+ eps (* 2 x)) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (+ eps x) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))

Calls

6 calls:

Time	Variable	Point
5.0ms	eps	inf
1.0ms	eps	-inf
1.0ms	x	-inf
1.0ms	x	inf
1.0ms	x	0

rewrite172.0ms (7.4%)

Memory

20.9MiB live, 439.7MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	148
0	36	138
1	206	138
2	634	138
3	2215	138
0	4191	138

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

19 → 452

Calls

Call 1

Inputs
x
eps
(+.f64 x x)
(*.f64 eps eps)
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps)))
#s(approx (+ eps (* 2 x)) eps)
(.f64 eps #s(approx (+ eps ( 2 x)) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps #s(approx (+ eps ( 2 x)) eps)))
(*.f64 (+.f64 x x) eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
#s(literal 2 binary64)
(fma.f64 #s(literal 2 binary64) x eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(+.f64 eps x)
(+.f64 (+.f64 eps x) x)
(*.f64 eps (+.f64 (+.f64 eps x) x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x)))

Outputs
x
eps
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) x)) x)
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal -2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x)) x)
(*.f64 #s(literal 1 binary64) (+.f64 x x))
(*.f64 (+.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)))) (+.f64 x (*.f64 (neg.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) x))) (+.f64 x (*.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 x (*.f64 (neg.f64 x) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) x) (.f64 x (*.f64 #s(literal -1 binary64) x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (+.f64 x (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x x (*.f64 (neg.f64 x) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(-.f64 x (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 x (*.f64 #s(literal -1 binary64) x))
(-.f64 x (neg.f64 x))
(+.f64 x x)
(*.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 eps)))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 eps)))))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 eps)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 eps)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 eps)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 eps)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 eps) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 eps) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 eps) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 eps) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (neg.f64 (neg.f64 (fabs.f64 eps))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (fabs.f64 eps))
(*.f64 (pow.f64 (fabs.f64 eps) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 eps) #s(literal 1 binary64)) (pow.f64 (fabs.f64 eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 eps) #s(literal 1 binary64)) (fabs.f64 eps))
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 1 binary64)) (pow.f64 (neg.f64 eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 1 binary64)) (neg.f64 eps))
(*.f64 (pow.f64 eps (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 eps (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)))
(*.f64 (pow.f64 eps #s(literal 1 binary64)) (pow.f64 eps #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 1 binary64)) eps)
(*.f64 (fabs.f64 eps) (neg.f64 (neg.f64 (fabs.f64 eps))))
(*.f64 (fabs.f64 eps) (fabs.f64 eps))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(.f64 (.f64 eps eps) (pow.f64 (*.f64 eps eps) #s(literal 0 binary64)))
(*.f64 eps eps)
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 eps)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 eps eps) (*.f64 eps eps)) #s(literal 1/2 binary64))
(pow.f64 (fabs.f64 eps) #s(literal 2 binary64))
(pow.f64 (neg.f64 eps) #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 eps #s(literal 2 binary64))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 eps)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 eps)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (fabs.f64 eps) #s(literal 1 binary64)) (pow.f64 (fabs.f64 eps) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 eps) #s(literal 1 binary64)) (pow.f64 (neg.f64 eps) #s(literal -1 binary64)))
(/.f64 (pow.f64 eps #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fabs.f64 eps)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 eps eps) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 eps) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 eps) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64)))
(neg.f64 (*.f64 (neg.f64 eps) eps))
(sqrt.f64 (.f64 (.f64 eps eps) (*.f64 eps eps)))
(fabs.f64 (*.f64 (neg.f64 eps) (neg.f64 (fabs.f64 eps))))
(fabs.f64 (*.f64 eps (neg.f64 (fabs.f64 eps))))
(fabs.f64 (*.f64 (neg.f64 eps) (fabs.f64 eps)))
(fabs.f64 (*.f64 eps (fabs.f64 eps)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 eps)))
(fabs.f64 (*.f64 (fabs.f64 eps) (neg.f64 eps)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 eps)) eps))
(fabs.f64 (*.f64 (fabs.f64 eps) eps))
(fabs.f64 (*.f64 (neg.f64 eps) eps))
(fabs.f64 (*.f64 eps eps))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 eps))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 eps eps)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 eps)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 eps)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 eps x) eps) (.f64 eps x))) (.f64 eps x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) eps) (.f64 (+.f64 eps x) eps))) (.f64 (+.f64 eps x) eps))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 eps x) #s(literal -2 binary64)) (.f64 eps eps))) (*.f64 eps eps))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps x) (.f64 (+.f64 eps x) eps))) (.f64 (+.f64 eps x) eps))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps))) (.f64 eps eps))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 eps) eps) (.f64 (+.f64 x x) eps))) (.f64 (+.f64 x x) eps))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps eps) (.f64 (+.f64 x x) eps))) (.f64 (+.f64 x x) eps))
(.f64 (neg.f64 eps) (-.f64 (.f64 #s(literal -2 binary64) x) eps))
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(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
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(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 eps x) eps) (.f64 eps x))) (.f64 eps x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) eps) (.f64 (+.f64 eps x) eps))) (.f64 (+.f64 eps x) eps))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 eps x) #s(literal -2 binary64)) (.f64 eps eps))) (*.f64 eps eps))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps x) (.f64 (+.f64 eps x) eps))) (.f64 (+.f64 eps x) eps))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps))) (.f64 eps eps))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 eps) eps) (.f64 (+.f64 x x) eps))) (.f64 (+.f64 x x) eps))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps eps) (.f64 (+.f64 x x) eps))) (.f64 (+.f64 x x) eps))
(.f64 (neg.f64 eps) (-.f64 (.f64 #s(literal -2 binary64) x) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 eps x) eps) (.f64 (+.f64 eps x) eps)) (.f64 (neg.f64 (.f64 (neg.f64 x) eps)) (neg.f64 (.f64 (neg.f64 x) eps)))) (-.f64 (.f64 (+.f64 eps x) eps) (neg.f64 (.f64 (neg.f64 x) eps))))
(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 #s(literal -2 binary64) (.f64 (neg.f64 x) eps)) (.f64 #s(literal -2 binary64) (.f64 (neg.f64 x) eps)))) (-.f64 (.f64 eps eps) (.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) eps))))
(/.f64 (-.f64 (.f64 (.f64 eps x) (.f64 eps x)) (.f64 (.f64 (-.f64 (neg.f64 x) eps) eps) (.f64 (-.f64 (neg.f64 x) eps) eps))) (+.f64 (.f64 eps x) (.f64 (-.f64 (neg.f64 x) eps) eps)))
(/.f64 (-.f64 (.f64 (.f64 eps x) (.f64 eps x)) (.f64 (.f64 (neg.f64 eps) (+.f64 eps x)) (.f64 (neg.f64 eps) (+.f64 eps x)))) (+.f64 (.f64 eps x) (.f64 (neg.f64 eps) (+.f64 eps x))))
(/.f64 (-.f64 (.f64 (.f64 eps x) (.f64 eps x)) (.f64 (neg.f64 (.f64 (+.f64 eps x) eps)) (neg.f64 (.f64 (+.f64 eps x) eps)))) (+.f64 (.f64 eps x) (neg.f64 (.f64 (+.f64 eps x) eps))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 eps x) eps) #s(literal 3 binary64)) (pow.f64 (neg.f64 (.f64 (neg.f64 x) eps)) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 eps x) eps) (.f64 (+.f64 eps x) eps) (-.f64 (.f64 (neg.f64 (.f64 (neg.f64 x) eps)) (neg.f64 (.f64 (neg.f64 x) eps))) (.f64 (.f64 (+.f64 eps x) eps) (neg.f64 (.f64 (neg.f64 x) eps))))))
(/.f64 (+.f64 (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (.f64 (neg.f64 x) eps)) #s(literal 3 binary64))) (fma.f64 (.f64 eps eps) (.f64 eps eps) (-.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 (neg.f64 x) eps)) (.f64 #s(literal -2 binary64) (.f64 (neg.f64 x) eps))) (.f64 (.f64 eps eps) (.f64 #s(literal -2 binary64) (.f64 (neg.f64 x) eps))))))
(/.f64 (-.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 (neg.f64 x) eps) eps) #s(literal 3 binary64))) (fma.f64 (.f64 eps x) (.f64 eps x) (fma.f64 (.f64 (-.f64 (neg.f64 x) eps) eps) (.f64 (-.f64 (neg.f64 x) eps) eps) (.f64 (.f64 eps x) (*.f64 (-.f64 (neg.f64 x) eps) eps)))))
(/.f64 (-.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 eps) (+.f64 eps x)) #s(literal 3 binary64))) (fma.f64 (.f64 eps x) (.f64 eps x) (fma.f64 (.f64 (neg.f64 eps) (+.f64 eps x)) (.f64 (neg.f64 eps) (+.f64 eps x)) (.f64 (.f64 eps x) (*.f64 (neg.f64 eps) (+.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (.f64 (+.f64 eps x) eps)) #s(literal 3 binary64))) (fma.f64 (.f64 eps x) (.f64 eps x) (fma.f64 (neg.f64 (.f64 (+.f64 eps x) eps)) (neg.f64 (.f64 (+.f64 eps x) eps)) (.f64 (.f64 eps x) (neg.f64 (*.f64 (+.f64 eps x) eps))))))
(/.f64 (-.f64 (.f64 (.f64 eps x) (.f64 eps x)) (.f64 (.f64 (+.f64 eps x) eps) (.f64 (+.f64 eps x) eps))) (-.f64 (.f64 eps x) (.f64 (+.f64 eps x) eps)))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 eps x) eps) (.f64 (+.f64 eps x) eps)) (.f64 (.f64 (neg.f64 x) eps) (.f64 (neg.f64 x) eps))) (+.f64 (.f64 (+.f64 eps x) eps) (.f64 (neg.f64 x) eps)))
(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 (.f64 eps x) #s(literal -2 binary64)) (.f64 (.f64 eps x) #s(literal -2 binary64)))) (fma.f64 eps eps (.f64 (.f64 eps x) #s(literal -2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 eps x) eps) #s(literal 3 binary64))) (fma.f64 (.f64 eps x) (.f64 eps x) (-.f64 (.f64 (.f64 (+.f64 eps x) eps) (.f64 (+.f64 eps x) eps)) (.f64 (.f64 eps x) (.f64 (+.f64 eps x) eps)))))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 eps x) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) eps) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 eps x) eps) (.f64 (+.f64 eps x) eps) (fma.f64 (.f64 (neg.f64 x) eps) (.f64 (neg.f64 x) eps) (.f64 (.f64 (+.f64 eps x) eps) (*.f64 (neg.f64 x) eps)))))
(/.f64 (-.f64 (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 eps x) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 eps eps) (.f64 eps eps) (fma.f64 (.f64 (.f64 eps x) #s(literal -2 binary64)) (.f64 (.f64 eps x) #s(literal -2 binary64)) (.f64 (.f64 eps eps) (.f64 (*.f64 eps x) #s(literal -2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 eps x) eps) (.f64 (+.f64 eps x) eps)) (.f64 (.f64 eps x) (.f64 eps x))) (-.f64 (.f64 (+.f64 eps x) eps) (.f64 eps x)))
(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 (+.f64 x x) eps) (.f64 (+.f64 x x) eps))) (-.f64 (.f64 eps eps) (.f64 (+.f64 x x) eps)))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 eps x) eps) #s(literal 3 binary64)) (pow.f64 (.f64 eps x) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 eps x) eps) (.f64 (+.f64 eps x) eps) (-.f64 (.f64 (.f64 eps x) (.f64 eps x)) (.f64 (.f64 (+.f64 eps x) eps) (.f64 eps x)))))
(/.f64 (+.f64 (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 x x) eps) #s(literal 3 binary64))) (fma.f64 (.f64 eps eps) (.f64 eps eps) (-.f64 (.f64 (.f64 (+.f64 x x) eps) (.f64 (+.f64 x x) eps)) (.f64 (.f64 eps eps) (.f64 (+.f64 x x) eps)))))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 x x) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 eps) eps) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 x x) eps) (.f64 (+.f64 x x) eps) (+.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 (+.f64 x x) eps) (.f64 (neg.f64 eps) eps)))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 x x) eps) (.f64 (+.f64 x x) eps)) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 (.f64 (+.f64 x x) eps) (.f64 (neg.f64 eps) eps)))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 x x) eps) (.f64 (+.f64 x x) eps)) (.f64 (.f64 eps eps) (.f64 eps eps))) (-.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps)))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) #s(literal 3 binary64)) (pow.f64 (.f64 eps eps) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 x x) eps) (.f64 (+.f64 x x) eps) (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps)))))
(neg.f64 (.f64 (-.f64 (.f64 #s(literal -2 binary64) x) eps) eps))
(neg.f64 (-.f64 (.f64 (neg.f64 x) eps) (.f64 (+.f64 eps x) eps)))
(neg.f64 (-.f64 (.f64 (.f64 eps x) #s(literal -2 binary64)) (*.f64 eps eps)))
(neg.f64 (.f64 eps (-.f64 (.f64 #s(literal -2 binary64) x) eps)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 eps)))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 eps)))) (.f64 #s(literal -2 binary64) (.f64 (neg.f64 x) eps)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 eps)))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 eps)))) (*.f64 (+.f64 x x) eps))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (neg.f64 (neg.f64 (fabs.f64 eps))) (.f64 #s(literal -2 binary64) (.f64 (neg.f64 x) eps)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (neg.f64 (neg.f64 (fabs.f64 eps))) (*.f64 (+.f64 x x) eps))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (fabs.f64 eps) (.f64 #s(literal -2 binary64) (.f64 (neg.f64 x) eps)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (fabs.f64 eps) (*.f64 (+.f64 x x) eps))
(fma.f64 (+.f64 eps eps) x (*.f64 eps eps))
(fma.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)) (.f64 #s(literal -2 binary64) (.f64 (neg.f64 x) eps)))
(fma.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)) (*.f64 (+.f64 x x) eps))
(fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))
(fma.f64 (fabs.f64 eps) (neg.f64 (neg.f64 (fabs.f64 eps))) (.f64 #s(literal -2 binary64) (.f64 (neg.f64 x) eps)))
(fma.f64 (fabs.f64 eps) (neg.f64 (neg.f64 (fabs.f64 eps))) (*.f64 (+.f64 x x) eps))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (.f64 #s(literal -2 binary64) (.f64 (neg.f64 x) eps)))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (*.f64 (+.f64 x x) eps))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (.f64 #s(literal -2 binary64) (.f64 (neg.f64 x) eps)))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 (+.f64 x x) eps))
(fma.f64 (+.f64 eps x) eps (neg.f64 (*.f64 (neg.f64 x) eps)))
(fma.f64 (+.f64 eps x) eps (*.f64 eps x))
(fma.f64 (.f64 (+.f64 x x) eps) #s(literal 1 binary64) (.f64 eps eps))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) (.f64 eps x)) (*.f64 eps eps))
(fma.f64 #s(literal 2 binary64) (.f64 eps x) (.f64 eps eps))
(fma.f64 eps (+.f64 eps x) (neg.f64 (*.f64 (neg.f64 x) eps)))
(fma.f64 eps (+.f64 eps x) (*.f64 eps x))
(fma.f64 eps (+.f64 x x) (*.f64 eps eps))
(fma.f64 eps eps (.f64 #s(literal -2 binary64) (.f64 (neg.f64 x) eps)))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(fma.f64 eps x (*.f64 (+.f64 eps x) eps))
(fma.f64 x (+.f64 eps eps) (*.f64 eps eps))
(fma.f64 x eps (*.f64 (+.f64 eps x) eps))
(-.f64 (.f64 eps x) (.f64 (-.f64 (neg.f64 x) eps) eps))
(-.f64 (.f64 eps x) (.f64 (neg.f64 eps) (+.f64 eps x)))
(-.f64 (.f64 eps x) (neg.f64 (.f64 (+.f64 eps x) eps)))
(-.f64 (.f64 (+.f64 eps x) eps) (.f64 (neg.f64 x) eps))
(-.f64 (.f64 (+.f64 x x) eps) (.f64 (neg.f64 eps) eps))
(-.f64 (.f64 eps eps) (.f64 (*.f64 eps x) #s(literal -2 binary64)))
(+.f64 (.f64 eps x) (.f64 (+.f64 eps x) eps))
(+.f64 (.f64 (+.f64 eps x) eps) (neg.f64 (.f64 (neg.f64 x) eps)))
(+.f64 (.f64 (+.f64 eps x) eps) (.f64 eps x))
(+.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps))
(+.f64 (.f64 eps eps) (.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) eps)))
(+.f64 (.f64 eps eps) (.f64 (+.f64 x x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))

eval24.0ms (1.1%)

Memory: 10.5MiB live, 55.6MiB allocated; 4ms collecting garbage
Compiler: Compiled 7 147 to 1 104 computations (84.6% saved)

prune18.0ms (0.8%)

Memory

-31.0MiB live, 18.7MiB allocated; 20ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	282	0	282
Fresh	0	1	1
Picked	5	0	5
Done	-5	5	0
Total	282	6	288

Accuracy

100.0%

Counts

288 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps)))
▶	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 (+.f64 x x) eps)))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
✓	68.2%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x)))
✓	68.3%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps #s(approx (+ eps ( 2 x)) eps)))

Compiler

Compiled 103 to 66 computations (35.9% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series8.0ms (0.3%)

Memory

17.4MiB live, 17.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	131

Stop Event

1×	iter-limit

Counts

6 → 10

Calls

Call 1

Inputs
x
eps
(+.f64 x x)
(*.f64 (+.f64 x x) eps)
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 (+.f64 x x) eps)))

Outputs
#s(approx x x)
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (* (+ x x) eps) (.f64 #s(literal 2 binary64) (.f64 eps x)))
#s(approx (+ (* eps eps) (* (+ x x) eps)) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (+ (* eps eps) (* (+ x x) eps)) (fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (+ (* eps eps) (* (+ x x) eps)) (*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (+ (* eps eps) (* (+ x x) eps)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -2 binary64) eps (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx eps eps)
#s(approx (+ (* eps eps) (* (+ x x) eps)) (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))))
#s(approx (+ (* eps eps) (* (+ x x) eps)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps)))))

Calls

6 calls:

Time	Variable	Point
1.0ms	x	-inf
1.0ms	x	inf
1.0ms	eps	-inf
1.0ms	eps	inf
1.0ms	x	0

rewrite169.0ms (7.3%)

Memory

2.8MiB live, 201.9MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
0	15	34
1	112	34
2	416	34
3	1741	34
0	4238	32

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

6 → 135

Calls

Call 1

Inputs
x
eps
(+.f64 x x)
(*.f64 (+.f64 x x) eps)
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 (+.f64 x x) eps)))

Outputs
x
eps
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)))) (.f64 x #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x)) x)
(*.f64 (+.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64))) (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (-.f64 (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64))) (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) (-.f64 (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (+.f64 x (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x x (*.f64 (neg.f64 x) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(-.f64 x (neg.f64 x))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x))
(+.f64 x x)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 eps x) #s(literal 1 binary64)) (.f64 (.f64 eps x) #s(literal 1 binary64)))) (.f64 (*.f64 eps x) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) (.f64 eps x)) (.f64 #s(literal 1 binary64) (.f64 eps x)))) (.f64 #s(literal 1 binary64) (*.f64 eps x)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) eps) (.f64 eps x))) (.f64 eps x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 eps) x) (.f64 eps x))) (.f64 eps x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps x) (.f64 eps x))) (.f64 eps x))
(.f64 (.f64 #s(literal 2 binary64) eps) x)
(.f64 (.f64 #s(literal -2 binary64) x) (neg.f64 eps))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (neg.f64 eps) (.f64 #s(literal -2 binary64) x))
(.f64 (.f64 (+.f64 x x) eps) #s(literal 1 binary64))
(*.f64 (+.f64 x x) eps)
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) (*.f64 eps x)))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(*.f64 eps (+.f64 x x))
(*.f64 x (+.f64 eps eps))
(.f64 x (.f64 #s(literal 2 binary64) eps))
(/.f64 (-.f64 (.f64 (.f64 eps x) (.f64 eps x)) (.f64 (.f64 (neg.f64 x) eps) (.f64 (neg.f64 x) eps))) (+.f64 (.f64 eps x) (.f64 (neg.f64 x) eps)))
(/.f64 (-.f64 (.f64 (.f64 eps x) (.f64 eps x)) (.f64 (.f64 (neg.f64 eps) x) (.f64 (neg.f64 eps) x))) (+.f64 (.f64 eps x) (.f64 (neg.f64 eps) x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps x) #s(literal 1 binary64)) (.f64 (.f64 eps x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 eps x) #s(literal 1 binary64)) (.f64 (.f64 eps x) #s(literal 1 binary64)))) (-.f64 (.f64 (.f64 eps x) #s(literal 1 binary64)) (.f64 (.f64 eps x) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 eps x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 eps x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 eps x) #s(literal 1 binary64)) (.f64 (.f64 eps x) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (.f64 eps x) #s(literal 1 binary64)) (.f64 (.f64 eps x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 eps x) #s(literal 1 binary64)) (.f64 (.f64 eps x) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1 binary64) (.f64 eps x)) (.f64 #s(literal 1 binary64) (.f64 eps x))) (.f64 (.f64 #s(literal 1 binary64) (.f64 eps x)) (.f64 #s(literal 1 binary64) (.f64 eps x)))) (-.f64 (.f64 #s(literal 1 binary64) (.f64 eps x)) (.f64 #s(literal 1 binary64) (.f64 eps x))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (.f64 eps x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) (.f64 eps x)) (.f64 #s(literal 1 binary64) (.f64 eps x)) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (.f64 eps x)) (.f64 #s(literal 1 binary64) (.f64 eps x))) (.f64 (.f64 #s(literal 1 binary64) (.f64 eps x)) (.f64 #s(literal 1 binary64) (.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) eps) #s(literal 3 binary64))) (fma.f64 (.f64 eps x) (.f64 eps x) (fma.f64 (.f64 (neg.f64 x) eps) (.f64 (neg.f64 x) eps) (.f64 (.f64 eps x) (*.f64 (neg.f64 x) eps)))))
(/.f64 (-.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 eps) x) #s(literal 3 binary64))) (fma.f64 (.f64 eps x) (.f64 eps x) (fma.f64 (.f64 (neg.f64 eps) x) (.f64 (neg.f64 eps) x) (.f64 (.f64 eps x) (*.f64 (neg.f64 eps) x)))))
(/.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)))))
(neg.f64 (.f64 #s(literal -2 binary64) (.f64 eps x)))
(fma.f64 (.f64 eps x) #s(literal 1 binary64) (.f64 (*.f64 eps x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 eps x) (.f64 #s(literal 1 binary64) (*.f64 eps x)))
(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 eps x) (.f64 (neg.f64 eps) x))
(+.f64 (.f64 (.f64 eps x) #s(literal 1 binary64)) (.f64 (.f64 eps x) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 eps x)) (.f64 #s(literal 1 binary64) (.f64 eps x)))
(+.f64 (.f64 eps x) (.f64 eps x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps x) (.f64 (+.f64 eps x) eps))) (.f64 (+.f64 eps x) eps))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 eps x) (.f64 (neg.f64 eps) eps)) (.f64 eps x))) (*.f64 eps x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 eps x) eps) (.f64 eps x))) (.f64 eps x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (fabs.f64 eps)) (.f64 (+.f64 x x) eps))) (.f64 (+.f64 x x) eps))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 eps) eps) (.f64 (+.f64 x x) eps))) (.f64 (+.f64 x x) eps))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps eps) (.f64 (+.f64 x x) eps))) (.f64 (+.f64 x x) eps))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 eps x)) (.f64 eps eps))) (*.f64 eps eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps))) (.f64 eps eps))
(*.f64 (neg.f64 eps) (-.f64 (neg.f64 eps) (+.f64 x x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 eps x) eps) (.f64 (+.f64 eps x) eps)) (.f64 (.f64 eps x) (.f64 eps x))) (-.f64 (.f64 (+.f64 eps x) eps) (.f64 eps x)))
(/.f64 (-.f64 (.f64 (.f64 eps x) (.f64 eps x)) (.f64 (-.f64 (.f64 eps x) (.f64 (neg.f64 eps) eps)) (-.f64 (.f64 eps x) (.f64 (neg.f64 eps) eps)))) (-.f64 (.f64 eps x) (-.f64 (.f64 eps x) (*.f64 (neg.f64 eps) eps))))
(/.f64 (-.f64 (.f64 (.f64 eps x) (.f64 eps x)) (.f64 (.f64 (+.f64 eps x) eps) (.f64 (+.f64 eps x) eps))) (-.f64 (.f64 eps x) (.f64 (+.f64 eps x) eps)))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 x x) eps) (.f64 (+.f64 x x) eps)) (.f64 (.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (fabs.f64 eps)) (.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (fabs.f64 eps)))) (-.f64 (.f64 (+.f64 x x) eps) (.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (fabs.f64 eps))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 eps x) eps) #s(literal 3 binary64)) (pow.f64 (.f64 eps x) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 eps x) eps) (.f64 (+.f64 eps x) eps) (-.f64 (.f64 (.f64 eps x) (.f64 eps x)) (.f64 (.f64 (+.f64 eps x) eps) (.f64 eps x)))))
(/.f64 (+.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 eps x) (.f64 (neg.f64 eps) eps)) #s(literal 3 binary64))) (fma.f64 (.f64 eps x) (.f64 eps x) (-.f64 (.f64 (-.f64 (.f64 eps x) (.f64 (neg.f64 eps) eps)) (-.f64 (.f64 eps x) (.f64 (neg.f64 eps) eps))) (.f64 (.f64 eps x) (-.f64 (.f64 eps x) (.f64 (neg.f64 eps) eps))))))
(/.f64 (+.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 eps x) eps) #s(literal 3 binary64))) (fma.f64 (.f64 eps x) (.f64 eps x) (-.f64 (.f64 (.f64 (+.f64 eps x) eps) (.f64 (+.f64 eps x) eps)) (.f64 (.f64 eps x) (.f64 (+.f64 eps x) eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (fabs.f64 eps)) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 x x) eps) (.f64 (+.f64 x x) eps) (-.f64 (.f64 (.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (fabs.f64 eps)) (.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (fabs.f64 eps))) (.f64 (.f64 (+.f64 x x) eps) (.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (fabs.f64 eps))))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 x x) eps) (.f64 (+.f64 x x) eps)) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 (.f64 (+.f64 x x) eps) (.f64 (neg.f64 eps) eps)))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 x x) eps) (.f64 (+.f64 x x) eps)) (.f64 (.f64 eps eps) (.f64 eps eps))) (-.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps)))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 x x) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 eps) eps) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 x x) eps) (.f64 (+.f64 x x) eps) (+.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 (+.f64 x x) eps) (.f64 (neg.f64 eps) eps)))))
(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 #s(literal -2 binary64) (.f64 eps x)) (.f64 #s(literal -2 binary64) (.f64 eps x)))) (fma.f64 eps eps (.f64 #s(literal -2 binary64) (.f64 eps x))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) #s(literal 3 binary64)) (pow.f64 (.f64 eps eps) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 x x) eps) (.f64 (+.f64 x x) eps) (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps)))))
(/.f64 (-.f64 (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (.f64 eps x)) #s(literal 3 binary64))) (fma.f64 (.f64 eps eps) (.f64 eps eps) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 eps x)) (.f64 #s(literal -2 binary64) (.f64 eps x)) (.f64 (.f64 eps eps) (.f64 #s(literal -2 binary64) (*.f64 eps x))))))
(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 (+.f64 x x) eps) (.f64 (+.f64 x x) eps))) (-.f64 (.f64 eps eps) (.f64 (+.f64 x x) eps)))
(/.f64 (+.f64 (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 x x) eps) #s(literal 3 binary64))) (fma.f64 (.f64 eps eps) (.f64 eps eps) (-.f64 (.f64 (.f64 (+.f64 x x) eps) (.f64 (+.f64 x x) eps)) (.f64 (.f64 eps eps) (.f64 (+.f64 x x) eps)))))
(neg.f64 (fma.f64 (neg.f64 eps) eps (.f64 #s(literal -2 binary64) (.f64 eps x))))
(neg.f64 (-.f64 (.f64 (neg.f64 eps) eps) (.f64 (+.f64 x x) eps)))
(neg.f64 (.f64 eps (-.f64 (.f64 #s(literal -2 binary64) x) eps)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 eps)))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 eps)))) (*.f64 (+.f64 x x) eps))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (neg.f64 (neg.f64 (fabs.f64 eps))) (*.f64 (+.f64 x x) eps))
(fma.f64 (.f64 #s(literal 2 binary64) eps) x (.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (fabs.f64 eps)))
(fma.f64 (.f64 #s(literal 2 binary64) eps) x (.f64 eps eps))
(fma.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)) (*.f64 (+.f64 x x) eps))
(fma.f64 (.f64 #s(literal -2 binary64) x) (neg.f64 eps) (.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (fabs.f64 eps)))
(fma.f64 (.f64 #s(literal -2 binary64) x) (neg.f64 eps) (.f64 eps eps))
(fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (fabs.f64 eps)))
(fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (*.f64 (+.f64 x x) eps))
(fma.f64 (neg.f64 eps) (.f64 #s(literal -2 binary64) x) (.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (fabs.f64 eps)))
(fma.f64 (neg.f64 eps) (.f64 #s(literal -2 binary64) x) (.f64 eps eps))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 (+.f64 x x) eps))
(fma.f64 (.f64 (+.f64 x x) eps) #s(literal 1 binary64) (.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (fabs.f64 eps)))
(fma.f64 (.f64 (+.f64 x x) eps) #s(literal 1 binary64) (.f64 eps eps))
(fma.f64 (+.f64 x x) eps (*.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (fabs.f64 eps)))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) (.f64 eps x)) (*.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (fabs.f64 eps)))
(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 (neg.f64 (neg.f64 (fabs.f64 eps))) (fabs.f64 eps)))
(fma.f64 #s(literal 2 binary64) (.f64 eps x) (.f64 eps eps))
(fma.f64 (+.f64 eps x) eps (*.f64 eps x))
(fma.f64 eps (+.f64 x x) (*.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (fabs.f64 eps)))
(fma.f64 eps (+.f64 x x) (*.f64 eps eps))
(fma.f64 eps (+.f64 eps x) (*.f64 eps x))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(fma.f64 eps x (-.f64 (.f64 eps x) (.f64 (neg.f64 eps) eps)))
(fma.f64 eps x (*.f64 (+.f64 eps x) eps))
(fma.f64 x (+.f64 eps eps) (*.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (fabs.f64 eps)))
(fma.f64 x (+.f64 eps eps) (*.f64 eps eps))
(fma.f64 x (.f64 #s(literal 2 binary64) eps) (.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (fabs.f64 eps)))
(fma.f64 x (.f64 #s(literal 2 binary64) eps) (.f64 eps eps))
(fma.f64 x eps (-.f64 (.f64 eps x) (.f64 (neg.f64 eps) eps)))
(fma.f64 x eps (*.f64 (+.f64 eps x) eps))
(-.f64 (.f64 eps eps) (.f64 #s(literal -2 binary64) (*.f64 eps x)))
(-.f64 (.f64 (+.f64 x x) eps) (.f64 (neg.f64 eps) eps))
(+.f64 (.f64 (+.f64 eps x) eps) (.f64 eps x))
(+.f64 (.f64 eps x) (-.f64 (.f64 eps x) (*.f64 (neg.f64 eps) eps)))
(+.f64 (.f64 eps x) (.f64 (+.f64 eps x) eps))
(+.f64 (.f64 eps eps) (.f64 (+.f64 x x) eps))
(+.f64 (.f64 (+.f64 x x) eps) (.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (fabs.f64 eps)))
(+.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))

eval14.0ms (0.6%)

Memory: -25.9MiB live, 21.0MiB allocated; 6ms collecting garbage
Compiler: Compiled 3 865 to 583 computations (84.9% saved)

prune3.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	0	0
Picked	1	0	1
Done	-1	6	5
Total	140	6	146

Accuracy

100.0%

Counts

146 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps)))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 (+.f64 x x) eps)))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
✓	68.2%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x)))
✓	68.3%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps #s(approx (+ eps ( 2 x)) eps)))

Compiler

Compiled 103 to 66 computations (35.9% saved)

regimes39.0ms (1.7%)

Memory

33.4MiB live, 80.2MiB allocated; 2ms collecting garbage

Counts

1 → 1

3 → 2

6 → 1

7 → 1

12 → 1

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps #s(approx (+ eps ( 2 x)) eps)))

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps #s(approx (+ eps ( 2 x)) eps)))

Call 2

Inputs

#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))

#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))

#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps #s(approx (+ eps ( 2 x)) eps)))

Call 3

Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps #s(approx (+ eps ( 2 x)) eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 #s(literal 2 binary64) (.f64 eps x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))))

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))

Call 4

Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps #s(approx (+ eps ( 2 x)) eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 #s(literal 2 binary64) (.f64 eps x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 (+.f64 x x) eps)))

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 (+.f64 x x) eps)))

Call 5

Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps #s(approx (+ eps ( 2 x)) eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 #s(literal 2 binary64) (.f64 eps x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 (+.f64 x x) eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps)))
(-.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 x x))
(fma.f64 (-.f64 eps x) (+.f64 eps x) (fma.f64 (+.f64 eps x) x (*.f64 eps x)))
(-.f64 (.f64 eps eps) (fma.f64 (-.f64 x x) (+.f64 x x) (.f64 #s(literal -2 binary64) (*.f64 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)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps)))

Calls

15 calls:

4.0ms	eps
4.0ms	x
4.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
3.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
3.0ms	eps

Results

Accuracy	Segments	Branch
68.3%	1	`eps`
68.3%	1	`x`
68.3%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
96.5%	2	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
91.6%	3	`x`
84.9%	3	`eps`
100.0%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
100.0%	1	`x`
100.0%	1	`eps`
100.0%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
100.0%	1	`x`
100.0%	1	`eps`
100.0%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
100.0%	1	`x`
100.0%	1	`eps`

Compiler

Compiled 241 to 105 computations (56.4% saved)

bsearch0.0ms (0.0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5e-324

Compiler

Compiled 20 to 16 computations (20.0% saved)

derivations54.0ms (2.3%)

Memory

-41.3MiB live, 56.2MiB allocated; 7ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 117 to 31 computations (73.5% saved)

preprocess28.0ms (1.2%)

Memory: 27.4MiB live, 121.2MiB allocated; 4ms collecting garbage
Compiler: Compiled 126 to 38 computations (69.8% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample1.1s (48.2%)

preprocess37.0ms (1.6%)

sample0.0ms (0.0%)

series13.0ms (0.5%)

rewrite184.0ms (7.9%)

eval55.0ms (2.4%)

prune11.0ms (0.5%)

sample0.0ms (0.0%)

series51.0ms (2.2%)

rewrite207.0ms (8.9%)

eval80.0ms (3.4%)

prune19.0ms (0.8%)

sample0.0ms (0.0%)

series15.0ms (0.7%)

rewrite172.0ms (7.4%)

eval24.0ms (1.1%)

prune18.0ms (0.8%)

sample0.0ms (0.0%)

series8.0ms (0.3%)

rewrite169.0ms (7.3%)

eval14.0ms (0.6%)

prune3.0ms (0.1%)

regimes39.0ms (1.7%)

bsearch0.0ms (0.0%)

derivations54.0ms (2.3%)

preprocess28.0ms (1.2%)

end0.0ms (0.0%)

Profiling