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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25.7%	74.3%	0%	0%	0%	0
100%	25.7%	0%	74.3%	0%	0%	0%	1

Compiler

Compiled 25 to 18 computations (28% saved)

sample1.1s (55.1%)

Memory

11.8MiB live, 967.8MiB allocated; 353ms collecting garbage

Samples

455.0ms	5 076×	0	valid
254.0ms	2 526×	1	valid
106.0ms	654×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 599.0ms

ival-pow2: 445.0ms (74.3% of total)

adjust: 80.0ms (13.4% of total)

ival-add!: 40.0ms (6.7% of total)

ival-sub!: 33.0ms (5.5% of total)

Bogosity

preprocess127.0ms (6.2%)

Memory

-20.2MiB live, 34.9MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	62
1	74	54
2	338	54
3	1663	42
4	5776	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.4%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Compiler

Compiled 16 to 14 computations (12.5% saved)

series14.0ms (0.7%)

Memory

15.1MiB live, 15.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	365

Stop Event

1×	iter-limit

Counts

7 → 23

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2))
1.0ms	eps	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2))
1.0ms	x	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2))
1.0ms	x	@	0	((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2))
1.0ms	eps	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2))

rewrite64.0ms (3.1%)

Memory

12.4MiB live, 58.3MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	67	23
0	674	23

Stop Event

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

Counts

7 → 129

Calls

Call 1

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

Outputs
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (+.f64 eps x) (+.f64 eps x)))) (+.f64 eps x)) (+.f64 eps x))
(*.f64 (+.f64 (+.f64 eps x) x) (-.f64 (+.f64 eps x) x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) x) (.f64 (+.f64 eps x) (+.f64 eps x)))) (.f64 (+.f64 eps x) (+.f64 eps x)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (+.f64 eps x) (+.f64 eps x)))) (.f64 (+.f64 eps x) (+.f64 eps x)))
(.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x))))
(.f64 (-.f64 (pow.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))))
(.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (+.f64 eps x) (+.f64 eps x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) x) x))) (neg.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (pow.f64 (+.f64 eps x) #s(literal 4 binary64))) (-.f64 (pow.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 (.f64 x x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (pow.f64 (+.f64 eps x) #s(literal 4 binary64))))
(neg.f64 (*.f64 (+.f64 x (+.f64 eps x)) (-.f64 x (+.f64 eps x))))
(fma.f64 (.f64 (+.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 1 binary64))) x (.f64 (neg.f64 x) x))
(fma.f64 (.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) (+.f64 (/.f64 eps x) #s(literal 1 binary64))) (.f64 x x) (*.f64 (neg.f64 x) x))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 eps x) #s(literal 2 binary64)) (.f64 x x))) (.f64 x x) (fma.f64 eps eps (*.f64 (neg.f64 x) x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 eps x) #s(literal 2 binary64)) (.f64 x x))) (.f64 x x) (-.f64 (.f64 eps eps) (.f64 x x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps eps) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 x x)))) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 x x)) (.f64 (neg.f64 x) x))
(fma.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 (+.f64 eps x)) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) (+.f64 eps x)))
(fma.f64 (neg.f64 (+.f64 eps x)) (neg.f64 (+.f64 eps x)) (*.f64 (neg.f64 x) x))
(fma.f64 (exp.f64 (log.f64 (+.f64 eps x))) (exp.f64 (log.f64 (+.f64 eps x))) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 x x) (.f64 (neg.f64 x) x))
(fma.f64 (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (+.f64 eps x) (+.f64 eps x)))) (.f64 (.f64 eps eps) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (+.f64 eps x) (+.f64 eps x))))))
(fma.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) (.f64 x (+.f64 eps x)) (.f64 (neg.f64 x) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (+.f64 eps x) (+.f64 eps x)))) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (+.f64 eps x) (+.f64 eps x)))) (.f64 eps eps)))
(fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 (neg.f64 x) x))
(fma.f64 x (neg.f64 x) (*.f64 (+.f64 eps x) (+.f64 eps x)))
(-.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 x x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))))
(-.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (neg.f64 (.f64 (neg.f64 x) x)))
(-.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 x x))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (+.f64 eps x) (+.f64 eps x)))) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (+.f64 eps x) (+.f64 eps x)))) (*.f64 eps eps)))
(+.f64 (.f64 (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (+.f64 eps x) (+.f64 eps x))))) (.f64 (.f64 eps eps) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (*.f64 (+.f64 eps x) (+.f64 eps x))))))
(+.f64 (.f64 (neg.f64 x) x) (.f64 (+.f64 eps x) (+.f64 eps x)))
(+.f64 (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 x x)) (fma.f64 eps eps (*.f64 (neg.f64 x) x)))
(+.f64 (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 x x)) (-.f64 (.f64 eps eps) (.f64 x x)))
(+.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (neg.f64 x) x))
(.f64 (.f64 (+.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 1 binary64))) x)
(.f64 (.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) (+.f64 (/.f64 eps x) #s(literal 1 binary64))) (*.f64 x x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps eps) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 x x)))) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 x x)))
(*.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 (+.f64 eps x)))
(*.f64 (neg.f64 (+.f64 eps x)) (neg.f64 (+.f64 eps x)))
(*.f64 (exp.f64 (log.f64 (+.f64 eps x))) (exp.f64 (log.f64 (+.f64 eps x))))
(.f64 (pow.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 x x))
(.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) (.f64 x (+.f64 eps x)))
(*.f64 (+.f64 eps x) (+.f64 eps x))
(pow.f64 (exp.f64 (log.f64 (+.f64 eps x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (+.f64 eps x) #s(literal 2 binary64))
(/.f64 (.f64 (+.f64 eps x) (.f64 (+.f64 eps x) (-.f64 x eps))) (-.f64 x eps))
(/.f64 (.f64 (+.f64 eps x) (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))
(/.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (+.f64 eps x)) (-.f64 x eps))
(/.f64 (.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (+.f64 eps x)) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 x x)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 x x))) (.f64 (.f64 eps eps) (.f64 eps eps))) (-.f64 (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 x x)) (*.f64 eps eps)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 eps eps) #s(literal 3 binary64))) (fma.f64 (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 x x)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 x x)) (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 x x)) (.f64 eps eps)))))
(/.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (.f64 (+.f64 eps x) (-.f64 x eps))) (.f64 (-.f64 x eps) (-.f64 x eps)))
(/.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (.f64 (-.f64 x eps) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(/.f64 (.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (.f64 (+.f64 eps x) (-.f64 x eps))) (.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (-.f64 x eps)))
(/.f64 (.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x)) (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 eps x) #s(literal 2 binary64)) (.f64 x x))) (.f64 x x) (*.f64 eps eps))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (fma.f64 (.f64 #s(literal 2 binary64) x) eps (.f64 eps eps)))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 x x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 (.f64 #s(literal 2 binary64) x) eps (.f64 eps eps)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (fma.f64 (.f64 #s(literal 2 binary64) x) eps (.f64 eps eps)))
(fma.f64 (pow.f64 eps #s(literal 1 binary64)) (pow.f64 eps #s(literal 1 binary64)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 x x)))
(fma.f64 (pow.f64 eps #s(literal 1 binary64)) eps (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 x x)))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 x x)))
(fma.f64 (+.f64 eps x) eps (*.f64 (+.f64 eps x) x))
(fma.f64 (+.f64 eps x) x (*.f64 (+.f64 eps x) eps))
(fma.f64 eps (+.f64 eps x) (*.f64 x (+.f64 eps x)))
(fma.f64 eps eps (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 x x)))
(fma.f64 x (+.f64 eps x) (*.f64 eps (+.f64 eps x)))
(fma.f64 x x (fma.f64 (.f64 #s(literal 2 binary64) x) eps (.f64 eps eps)))
(-.f64 (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 x x)) (neg.f64 (*.f64 eps eps)))
(fabs.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(+.f64 (.f64 (+.f64 eps x) eps) (.f64 (+.f64 eps x) x))
(+.f64 (.f64 eps (+.f64 eps x)) (.f64 x (+.f64 eps x)))
(+.f64 (.f64 x (+.f64 eps x)) (.f64 eps (+.f64 eps x)))
(+.f64 (fma.f64 eps eps (.f64 (.f64 eps x) #s(literal 2 binary64))) (*.f64 x x))
(+.f64 (-.f64 (.f64 x x) (.f64 #s(literal 2 binary64) (*.f64 x (neg.f64 eps)))) (pow.f64 (neg.f64 eps) #s(literal 2 binary64)))
(+.f64 (.f64 (+.f64 eps x) x) (.f64 (+.f64 eps x) eps))
(+.f64 (cosh.f64 (.f64 (log.f64 (+.f64 eps x)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (+.f64 eps x)) #s(literal 2 binary64))))
(+.f64 (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 x x)) (*.f64 eps eps))
(+.f64 (.f64 eps eps) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (*.f64 x x)))
(+.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 2 binary64) x) eps (*.f64 eps eps)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) x)) x)
(*.f64 (pow.f64 (+.f64 eps x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x)
(.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(*.f64 x (+.f64 (/.f64 eps x) #s(literal 1 binary64)))
(pow.f64 (+.f64 eps x) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (-.f64 eps x))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 eps eps (*.f64 x (neg.f64 eps)))))
(/.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 x eps))) (neg.f64 (-.f64 x eps)))
(/.f64 (neg.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (*.f64 (+.f64 eps x) (-.f64 x eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x)) (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps))
(/.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (fma.f64 eps eps (-.f64 (.f64 x x) (*.f64 eps x))))
(/.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (fma.f64 eps (-.f64 eps x) (.f64 x x)))
(neg.f64 (-.f64 (neg.f64 eps) x))
(-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))
(-.f64 eps (neg.f64 x))
(-.f64 x (neg.f64 eps))
(exp.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 eps (-.f64 eps x) (.f64 x x))) (/.f64 (.f64 (.f64 eps eps) eps) (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(+.f64 eps x)
(+.f64 x (neg.f64 (neg.f64 eps)))
(+.f64 x eps)
x
eps
#s(literal 2 binary64)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))

eval18.0ms (0.9%)

Memory: -18.5MiB live, 27.0MiB allocated; 6ms collecting garbage
Compiler: Compiled 1 285 to 491 computations (61.8% saved)

prune4.0ms (0.2%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	142	5	147
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	143	5	148

Accuracy

100.0%

Counts

148 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.3%	(fma.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) (.f64 x (+.f64 eps x)) (.f64 (neg.f64 x) x))
▶	77.4%	(*.f64 (+.f64 (+.f64 eps x) x) (-.f64 (+.f64 eps x) x))
▶	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64))))
▶	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))))
▶	63.2%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 #s(literal 2 binary64) (.f64 eps x)))

Compiler

Compiled 104 to 102 computations (1.9% saved)

series22.0ms (1.1%)

Memory

31.3MiB live, 31.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	599

Stop Event

1×	iter-limit

Counts

24 → 39

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (* eps (+ eps (* 2 x))) eps (+ eps (* 2 x)) (* 2 x) 2 x (- (pow (+ x eps) 2) (pow x 2)) (* 2 (* eps x)) (* eps x) (* (+ (+ eps x) x) (- (+ eps x) x)) (+ (+ eps x) x) (+ eps x) (- (+ eps x) x) (+ (* (+ (/ eps x) 1) (* x (+ eps x))) (* (neg x) x)) (+ (/ eps x) 1) (/ eps x) 1 (* x (+ eps x)) (* (neg x) x) (neg x) (- (pow (+ x eps) 2) (pow x 2)) (+ (* 2 (* eps x)) (pow eps 2)) (pow eps 2))
3.0ms	eps	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (* eps (+ eps (* 2 x))) eps (+ eps (* 2 x)) (* 2 x) 2 x (- (pow (+ x eps) 2) (pow x 2)) (* 2 (* eps x)) (* eps x) (* (+ (+ eps x) x) (- (+ eps x) x)) (+ (+ eps x) x) (+ eps x) (- (+ eps x) x) (+ (* (+ (/ eps x) 1) (* x (+ eps x))) (* (neg x) x)) (+ (/ eps x) 1) (/ eps x) 1 (* x (+ eps x)) (* (neg x) x) (neg x) (- (pow (+ x eps) 2) (pow x 2)) (+ (* 2 (* eps x)) (pow eps 2)) (pow eps 2))
3.0ms	x	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (* eps (+ eps (* 2 x))) eps (+ eps (* 2 x)) (* 2 x) 2 x (- (pow (+ x eps) 2) (pow x 2)) (* 2 (* eps x)) (* eps x) (* (+ (+ eps x) x) (- (+ eps x) x)) (+ (+ eps x) x) (+ eps x) (- (+ eps x) x) (+ (* (+ (/ eps x) 1) (* x (+ eps x))) (* (neg x) x)) (+ (/ eps x) 1) (/ eps x) 1 (* x (+ eps x)) (* (neg x) x) (neg x) (- (pow (+ x eps) 2) (pow x 2)) (+ (* 2 (* eps x)) (pow eps 2)) (pow eps 2))
3.0ms	x	@	0	((- (pow (+ x eps) 2) (pow x 2)) (* eps (+ eps (* 2 x))) eps (+ eps (* 2 x)) (* 2 x) 2 x (- (pow (+ x eps) 2) (pow x 2)) (* 2 (* eps x)) (* eps x) (* (+ (+ eps x) x) (- (+ eps x) x)) (+ (+ eps x) x) (+ eps x) (- (+ eps x) x) (+ (* (+ (/ eps x) 1) (* x (+ eps x))) (* (neg x) x)) (+ (/ eps x) 1) (/ eps x) 1 (* x (+ eps x)) (* (neg x) x) (neg x) (- (pow (+ x eps) 2) (pow x 2)) (+ (* 2 (* eps x)) (pow eps 2)) (pow eps 2))
3.0ms	eps	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (* eps (+ eps (* 2 x))) eps (+ eps (* 2 x)) (* 2 x) 2 x (- (pow (+ x eps) 2) (pow x 2)) (* 2 (* eps x)) (* eps x) (* (+ (+ eps x) x) (- (+ eps x) x)) (+ (+ eps x) x) (+ eps x) (- (+ eps x) x) (+ (* (+ (/ eps x) 1) (* x (+ eps x))) (* (neg x) x)) (+ (/ eps x) 1) (/ eps x) 1 (* x (+ eps x)) (* (neg x) x) (neg x) (- (pow (+ x eps) 2) (pow x 2)) (+ (* 2 (* eps x)) (pow eps 2)) (pow eps 2))

rewrite146.0ms (7.1%)

Memory

-24.4MiB live, 117.3MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	146
0	46	136
1	263	134
0	2834	123

Stop Event

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

Counts

24 → 908

Calls

Call 1

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

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(.f64 (.f64 (fma.f64 eps (/.f64 eps (*.f64 (+.f64 x x) eps)) #s(literal 1 binary64)) (+.f64 eps eps)) x)
(.f64 (.f64 (fma.f64 eps (/.f64 eps (.f64 (+.f64 x x) eps)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 eps x))
(.f64 (.f64 (fma.f64 eps (/.f64 eps (.f64 (+.f64 x x) eps)) #s(literal 1 binary64)) (.f64 eps x)) #s(literal 2 binary64))
(.f64 (.f64 eps (+.f64 (/.f64 x (+.f64 eps x)) #s(literal 1 binary64))) (+.f64 eps x))
(.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 (/.f64 x (+.f64 eps x)) #s(literal 1 binary64)) (.f64 (+.f64 eps x) eps))
(.f64 (fma.f64 eps (/.f64 eps (.f64 (+.f64 x x) eps)) #s(literal 1 binary64)) (*.f64 (+.f64 x x) eps))
(.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) (.f64 eps eps))
(.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (-.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (+.f64 x x) eps) (*.f64 eps eps))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 eps x) (.f64 eps x)) #s(literal 4 binary64)) (.f64 (+.f64 x x) eps) (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 eps x) (.f64 eps x)) #s(literal 4 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (.f64 (+.f64 x x) eps))))))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(.f64 (.f64 (+.f64 x x) eps) (fma.f64 eps (/.f64 eps (*.f64 (+.f64 x x) eps)) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (.f64 eps (-.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (.f64 x x)))) (-.f64 (-.f64 eps x) x))
(/.f64 (.f64 eps (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x (-.f64 #s(literal 0 binary64) eps))))
(/.f64 (.f64 eps (fma.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 eps eps) eps))) (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) eps) (.f64 eps eps)))
(/.f64 (.f64 eps (.f64 (-.f64 eps #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x eps))) (-.f64 eps #s(literal 0 binary64)))
(/.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (.f64 x x))) eps) (-.f64 (-.f64 eps x) x))
(/.f64 (.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) eps) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x (-.f64 #s(literal 0 binary64) eps))))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 eps eps) eps)) eps) (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) eps) (.f64 eps eps)))
(/.f64 (.f64 (.f64 (-.f64 eps #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x eps)) eps) (-.f64 eps #s(literal 0 binary64)))
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(/.f64 (.f64 eps (.f64 (-.f64 eps #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x eps))) (-.f64 eps #s(literal 0 binary64)))
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(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 eps eps) eps)) eps) (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) eps) (.f64 eps eps)))
(/.f64 (.f64 (.f64 (-.f64 eps #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x eps)) eps) (-.f64 eps #s(literal 0 binary64)))
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(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 eps x) (.f64 eps x)) #s(literal 4 binary64)) (.f64 (+.f64 x x) eps)) (pow.f64 (.f64 (neg.f64 eps) eps) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 eps x) (.f64 eps x)) #s(literal 4 binary64) (fma.f64 (.f64 (.f64 eps eps) eps) eps (.f64 (.f64 (+.f64 x x) eps) (*.f64 (neg.f64 eps) eps)))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (-.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps)))) (neg.f64 (-.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 eps x) (.f64 eps x)) #s(literal 4 binary64)) (.f64 (+.f64 x x) eps) (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 eps eps)))) (neg.f64 (fma.f64 (.f64 (.f64 eps x) (.f64 eps x)) #s(literal 4 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (*.f64 (+.f64 x x) eps))))))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (-.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps))) (-.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 eps x) (.f64 eps x)) #s(literal 4 binary64)) (.f64 (+.f64 x x) eps) (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 eps eps))) (fma.f64 (.f64 (.f64 eps eps) eps) eps (-.f64 (.f64 (.f64 (.f64 eps x) (.f64 eps x)) #s(literal 4 binary64)) (.f64 (.f64 (*.f64 (+.f64 x x) eps) eps) eps))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 eps x) (.f64 eps x)) #s(literal 4 binary64)) (.f64 (+.f64 x x) eps) (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 eps eps))) (fma.f64 (.f64 (.f64 eps x) (.f64 eps x)) #s(literal 4 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (*.f64 (+.f64 x x) eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (-.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 eps x) (.f64 eps x)) #s(literal 4 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (.f64 (+.f64 x x) eps)))) (fma.f64 (.f64 (.f64 (.f64 eps x) (.f64 eps x)) #s(literal 4 binary64)) (.f64 (+.f64 x x) eps) (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (*.f64 eps eps)))))
(neg.f64 (-.f64 (.f64 (neg.f64 eps) eps) (.f64 (+.f64 x x) eps)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps x) (.f64 eps x))) (.f64 eps x) (neg.f64 (.f64 (neg.f64 eps) eps)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps x) (.f64 eps x))) (.f64 eps x) (.f64 eps eps))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (*.f64 (+.f64 x x) eps))
(fma.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)) (*.f64 (+.f64 x x) eps))
(fma.f64 (+.f64 eps eps) x (neg.f64 (*.f64 (neg.f64 eps) eps)))
(fma.f64 (+.f64 eps eps) x (*.f64 eps eps))
(fma.f64 (fma.f64 eps (/.f64 eps (.f64 (+.f64 x x) eps)) #s(literal 1 binary64)) (.f64 eps x) (.f64 (fma.f64 eps (/.f64 eps (.f64 (+.f64 x x) eps)) #s(literal 1 binary64)) (*.f64 eps x)))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 (+.f64 x x) eps))
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(fma.f64 (.f64 eps x) #s(literal 2 binary64) (neg.f64 (.f64 (neg.f64 eps) eps)))
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(fma.f64 #s(literal 2 binary64) (.f64 eps x) (neg.f64 (.f64 (neg.f64 eps) eps)))
(fma.f64 #s(literal 2 binary64) (.f64 eps x) (.f64 eps eps))
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(fma.f64 eps (+.f64 x x) (neg.f64 (*.f64 (neg.f64 eps) eps)))
(fma.f64 eps (+.f64 x x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(fma.f64 eps x (fma.f64 eps x (*.f64 eps 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 eps x (*.f64 eps (+.f64 eps x)))
(fma.f64 x (+.f64 eps eps) (neg.f64 (*.f64 (neg.f64 eps) eps)))
(fma.f64 x (+.f64 eps eps) (*.f64 eps eps))
(fma.f64 x eps (fma.f64 eps x (*.f64 eps eps)))
(fma.f64 x eps (-.f64 (.f64 eps x) (.f64 (neg.f64 eps) eps)))
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(fma.f64 x eps (*.f64 eps (+.f64 eps x)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 eps x) (.f64 eps x)) #s(literal 4 binary64)) (-.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps))) (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (-.f64 (.f64 (+.f64 x x) eps) (*.f64 eps eps))))
(-.f64 (.f64 eps eps) (.f64 (*.f64 #s(literal -2 binary64) x) eps))
(-.f64 (.f64 eps eps) (.f64 (neg.f64 (+.f64 eps eps)) x))
(-.f64 (.f64 eps eps) (.f64 (neg.f64 (*.f64 eps x)) #s(literal 2 binary64)))
(-.f64 (.f64 eps eps) (.f64 #s(literal -2 binary64) (*.f64 eps x)))
(-.f64 (.f64 eps eps) (.f64 (neg.f64 eps) (+.f64 x x)))
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(-.f64 (.f64 (+.f64 x x) eps) (.f64 (neg.f64 eps) eps))
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(+.f64 (.f64 (+.f64 eps x) eps) (.f64 eps x))
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(+.f64 (fma.f64 eps eps (.f64 eps x)) (.f64 eps x))
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(+.f64 (.f64 eps eps) (.f64 (+.f64 x x) eps))
(+.f64 (.f64 (+.f64 x x) eps) (neg.f64 (.f64 (neg.f64 eps) eps)))
(+.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps))
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(+.f64 (.f64 eps x) (.f64 (+.f64 eps x) eps))
(+.f64 (.f64 eps x) (.f64 eps (+.f64 eps x)))
(*.f64 (fabs.f64 eps) (fabs.f64 eps))
(*.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 eps eps)
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 eps #s(literal 2 binary64))
(fabs.f64 (*.f64 eps eps))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))))

eval177.0ms (8.6%)

Memory: 28.7MiB live, 117.0MiB allocated; 15ms collecting garbage
Compiler: Compiled 6 014 to 2 006 computations (66.6% saved)

prune26.0ms (1.3%)

Memory

-18.5MiB live, 33.1MiB allocated; 12ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	651	5	656
Fresh	0	0	0
Picked	5	0	5
Done	0	0	0
Total	656	5	661

Accuracy

100.0%

Counts

661 → 5

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)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
▶	63.2%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
▶	99.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x)))
▶	74.3%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps #s(approx (+ eps ( 2 x)) eps)))

Compiler

Compiled 110 to 110 computations (0% saved)

series24.0ms (1.2%)

Memory

-11.0MiB live, 34.0MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	273

Stop Event

1×	iter-limit

Counts

19 → 20

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ x x) eps) (* eps eps)) (+ x x) x eps (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ eps (* 2 x))) (+ eps (* 2 x)) (- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ (+ eps x) x)) (+ (+ eps x) x) (+ eps x))
3.0ms	x	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ x x) eps) (* eps eps)) (+ x x) x eps (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ eps (* 2 x))) (+ eps (* 2 x)) (- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ (+ eps x) x)) (+ (+ eps x) x) (+ eps x))
3.0ms	eps	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ x x) eps) (* eps eps)) (+ x x) x eps (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ eps (* 2 x))) (+ eps (* 2 x)) (- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ (+ eps x) x)) (+ (+ eps x) x) (+ eps x))
3.0ms	x	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ x x) eps) (* eps eps)) (+ x x) x eps (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ eps (* 2 x))) (+ eps (* 2 x)) (- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ (+ eps x) x)) (+ (+ eps x) x) (+ eps x))
2.0ms	eps	@	0	((- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ x x) eps) (* eps eps)) (+ x x) x eps (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ eps (* 2 x))) (+ eps (* 2 x)) (- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ (+ eps x) x)) (+ (+ eps x) x) (+ eps x))

rewrite57.0ms (2.8%)

Memory

7.6MiB live, 52.6MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	148
0	35	138
0	203	138

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

19 → 132

Calls

Call 1

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

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

eval15.0ms (0.7%)

Memory: 14.4MiB live, 14.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 603 to 364 computations (39.6% saved)

prune8.0ms (0.4%)

Memory

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

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	87	5	92

Accuracy

100.0%

Counts

92 → 5

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)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
✓	63.2%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
✓	99.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x)))
✓	74.3%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps #s(approx (+ eps ( 2 x)) eps)))

Compiler

Compiled 119 to 104 computations (12.6% saved)

regimes24.0ms (1.1%)

Memory

-13.5MiB live, 32.8MiB allocated; 5ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	eps
6.0ms	x
5.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
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 10 to 11 computations (-10% saved)

regimes13.0ms (0.6%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
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 10 to 11 computations (-10% saved)

regimes9.0ms (0.4%)

Memory

9.5MiB live, 9.5MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

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)))

Calls

3 calls:

3.0ms	eps
3.0ms	x
2.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
96.9%	2	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
92.6%	3	`x`
86.9%	3	`eps`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes14.0ms (0.7%)

Memory

-50.9MiB live, 12.5MiB allocated; 16ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
2.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
74.3%	1	`eps`
74.3%	1	`x`
74.3%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.956e-321

Compiler

Compiled 11 to 12 computations (-9.1% saved)

derivations58.0ms (2.8%)

Memory

27.4MiB live, 27.4MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 35 to 29 computations (17.1% saved)

preprocess98.0ms (4.8%)

Memory: -29.9MiB live, 60.5MiB allocated; 12ms collecting garbage
Compiler: Compiled 43 to 36 computations (16.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (55.1%)

preprocess127.0ms (6.2%)

series14.0ms (0.7%)

rewrite64.0ms (3.1%)

eval18.0ms (0.9%)

prune4.0ms (0.2%)

series22.0ms (1.1%)

rewrite146.0ms (7.1%)

eval177.0ms (8.6%)

prune26.0ms (1.3%)

series24.0ms (1.2%)

rewrite57.0ms (2.8%)

eval15.0ms (0.7%)

prune8.0ms (0.4%)

regimes24.0ms (1.1%)

regimes13.0ms (0.6%)

regimes9.0ms (0.4%)

regimes14.0ms (0.7%)

bsearch0.0ms (0%)

derivations58.0ms (2.8%)

preprocess98.0ms (4.8%)

end0.0ms (0%)

Profiling