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

0.5MiB live, 0.5MiB 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)

sample1.0s (65%)

Memory

-33.0MiB live, 1 272.8MiB allocated; 286ms collecting garbage

Samples

355.0ms	2 511×	1	valid
301.0ms	5 137×	0	valid
136.0ms	608×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 452.0ms

ival-pow2: 263.0ms (58.2% of total)

adjust: 101.0ms (22.4% of total)

ival-add!: 60.0ms (13.3% of total)

ival-sub!: 27.0ms (6% of total)

Bogosity

preprocess94.0ms (5.8%)

Memory

11.4MiB live, 47.0MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	64
1	34	60
2	107	60
3	561	58
4	1860	44
5	6222	44

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.7%	(-.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)

series6.0ms (0.4%)

Memory

19.1MiB live, 19.1MiB allocated; 0ms collecting garbage

Counts

7 → 29

Calls

Call 1

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

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (pow eps 2)))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* x (+ x (* 2 eps))) (pow eps 2))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (pow x 2) #s(hole binary64 (pow x 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ eps x))))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2)))))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* 2 (* eps x)) (pow x 2))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* eps (+ eps (* 2 x))) (pow x 2))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Calls

6 calls:

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))

rewrite184.0ms (11.4%)

Memory

14.9MiB live, 210.1MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	456
0	110	446
1	557	431
0	5462	412

Stop Event

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

Counts

36 → 120

Calls

Call 1

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

Outputs
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 (+.f64 eps x) x))
(/.f64 (neg.f64 (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 (+.f64 eps x) x)))) (neg.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 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 (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 (+.f64 eps x) x))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 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))))
(fma.f64 (neg.f64 (+.f64 eps x)) (neg.f64 (+.f64 eps x)) (*.f64 (neg.f64 x) x))
(fma.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 (+.f64 eps x)) (*.f64 (neg.f64 x) x))
(fma.f64 (exp.f64 (log.f64 (+.f64 eps x))) (exp.f64 (log.f64 (+.f64 eps x))) (*.f64 (neg.f64 x) x))
(fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 (neg.f64 x) x))
(-.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (fma.f64 (+.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 eps x) #s(literal 6 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 (.f64 x x) x) x) (.f64 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)) (.f64 x x))
(+.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (neg.f64 x) x))
(*.f64 (neg.f64 (+.f64 eps x)) (neg.f64 (+.f64 eps x)))
(*.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 (+.f64 eps x)))
(*.f64 (exp.f64 (log.f64 (+.f64 eps x))) (exp.f64 (log.f64 (+.f64 eps x))))
(*.f64 (+.f64 eps x) (+.f64 eps x))
(pow.f64 (exp.f64 (log.f64 (+.f64 eps x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (+.f64 eps x) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (+.f64 eps x)) (-.f64 x eps))
(/.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 eps x)) (+.f64 eps x)) (-.f64 eps x))
(/.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 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (+.f64 eps x)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))
(/.f64 (.f64 (+.f64 eps x) (.f64 (+.f64 eps x) (-.f64 x eps))) (-.f64 x eps))
(/.f64 (.f64 (+.f64 eps x) (.f64 (+.f64 eps x) (-.f64 eps x))) (-.f64 eps x))
(/.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 eps x) (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (fma.f64 x (-.f64 x eps) (*.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)) (.f64 (+.f64 eps x) (-.f64 eps x))) (.f64 (-.f64 x eps) (-.f64 eps x)))
(/.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 (.f64 (+.f64 eps x) (-.f64 x eps)) (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (.f64 (-.f64 x eps) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(/.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 eps x)) (.f64 (+.f64 eps x) (-.f64 x eps))) (.f64 (-.f64 eps x) (-.f64 x eps)))
(/.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 eps x)) (.f64 (+.f64 eps x) (-.f64 eps x))) (.f64 (-.f64 eps x) (-.f64 eps x)))
(/.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 eps x)) (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (.f64 (-.f64 eps x) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(/.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 eps x)) (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (.f64 (-.f64 eps x) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(/.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)) (.f64 (+.f64 eps x) (-.f64 x eps))) (.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (-.f64 x eps)))
(/.f64 (.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (.f64 (+.f64 eps x) (-.f64 eps x))) (.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (-.f64 eps x)))
(/.f64 (.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (.f64 (+.f64 eps x) (-.f64 eps x))) (.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (-.f64 eps x)))
(/.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))))
(/.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 x (-.f64 x eps) (.f64 eps 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 x (-.f64 x eps) (.f64 eps eps)) (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(/.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 x (-.f64 x eps) (.f64 eps eps)) (fma.f64 x (-.f64 x eps) (.f64 eps eps))))
(fma.f64 (+.f64 eps x) eps (*.f64 (+.f64 eps x) x))
(fma.f64 (+.f64 eps x) x (*.f64 (+.f64 eps x) eps))
(fma.f64 eps (+.f64 eps x) (*.f64 x (+.f64 eps x)))
(fma.f64 x (+.f64 eps x) (*.f64 eps (+.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(+.f64 (.f64 eps (+.f64 eps x)) (.f64 x (+.f64 eps x)))
(+.f64 (.f64 x (+.f64 eps x)) (.f64 eps (+.f64 eps x)))
(+.f64 (.f64 (+.f64 eps x) eps) (.f64 (+.f64 eps x) x))
(+.f64 (.f64 (+.f64 eps x) x) (.f64 (+.f64 eps x) eps))
(+.f64 (cosh.f64 (.f64 (log.f64 (+.f64 eps x)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (+.f64 eps x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 eps x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 1/2 binary64)))
(pow.f64 (+.f64 eps x) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 x eps))) (neg.f64 (-.f64 x eps)))
(/.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 eps x))) (neg.f64 (-.f64 eps x)))
(/.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 (neg.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 x (-.f64 x eps) (.f64 eps eps))))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 eps 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)))
(/.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (fma.f64 x (-.f64 x eps) (.f64 eps eps)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 eps x) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))
(-.f64 (/.f64 (.f64 eps eps) (-.f64 eps x)) (/.f64 (.f64 x x) (-.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(+.f64 (/.f64 (.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 (/.f64 (.f64 (.f64 eps eps) eps) (fma.f64 x (-.f64 x eps) (.f64 eps eps))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 x (-.f64 x eps) (.f64 eps eps))))
(+.f64 eps x)
(+.f64 x eps)
x
eps
#s(literal 2 binary64)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (pow (+ x eps) 2) (*.f64 eps eps))
#s(approx (pow (+ x eps) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (pow (+ x eps) 2) (fma.f64 (fma.f64 #s(literal 2 binary64) eps x) x (*.f64 eps eps)))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx x x)
#s(approx (pow x 2) (*.f64 x x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 eps (/.f64 eps x) (+.f64 eps eps)) x))
#s(approx (pow (+ x eps) 2) (*.f64 x x))
#s(approx (pow (+ x eps) 2) (.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 2 binary64) #s(literal 1 binary64)) x) x))
#s(approx (pow (+ x eps) 2) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) eps) (/.f64 (.f64 eps eps) x)) x)) x) x))
#s(approx (+ x eps) x)
#s(approx (+ x eps) (fma.f64 (/.f64 eps x) x x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 eps (/.f64 eps x) (neg.f64 (.f64 #s(literal -2 binary64) eps))) x))
#s(approx (pow (+ x eps) 2) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) eps) (/.f64 (.f64 eps eps) x)) x)) x) x))
#s(approx (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (pow (+ x eps) 2) (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x))
#s(approx (pow (+ x eps) 2) (fma.f64 (fma.f64 #s(literal 2 binary64) eps x) x (*.f64 eps eps)))
#s(approx eps eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
#s(approx (pow (+ x eps) 2) (.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
#s(approx (pow (+ x eps) 2) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) x) (.f64 x (/.f64 x eps))) eps)) eps) eps))
#s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))
#s(approx (pow (+ x eps) 2) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) x) (.f64 x (/.f64 x eps))) eps)) eps) eps))
#s(approx (+ x eps) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))

eval11.0ms (0.7%)

Memory: -27.0MiB live, 18.7MiB allocated; 4ms collecting garbage
Compiler: Compiled 963 to 391 computations (59.4% saved)

prune3.0ms (0.2%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	107	4	111
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	4	112

Accuracy

100.0%

Counts

112 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 eps (/.f64 eps x) (+.f64 eps eps)) x))
▶	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
▶	68.6%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
▶	69.8%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

Compiler

Compiled 42 to 42 computations (0% saved)

series15.0ms (0.9%)

Memory

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

Counts

16 → 41

Calls

Call 1

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

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (* (+ x x) eps) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 eps))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (* (+ (* eps (/ eps x)) (+ eps eps)) x) #s(hole binary64 (pow eps 2)))
#s(approx (* (+ (* eps (/ eps x)) (+ eps eps)) x) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (/ (pow eps 2) x)))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (/ (+ (* 2 (* eps x)) (pow eps 2)) x)))
#s(approx (/ eps x) #s(hole binary64 (/ eps x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* 2 x)))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (* (+ (* eps (/ eps x)) (+ eps eps)) x) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* (+ (* eps (/ eps x)) (+ eps eps)) x) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (* 2 eps)))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (+ (* 2 eps) (/ (pow eps 2) x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (* (+ (* eps (/ eps x)) (+ eps eps)) x) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (* (+ (* eps (/ eps x)) (+ eps eps)) x) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (* eps (+ 2 (/ eps x)))))
#s(approx (+ eps eps) #s(hole binary64 (* 2 eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (* (+ (* eps (/ eps x)) (+ eps eps)) x) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* 2 (/ 1 eps)) (/ 1 x)))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))

Calls

6 calls:

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

rewrite68.0ms (4.2%)

Memory

-28.6MiB live, 71.9MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	720
0	123	681
0	447	670

Stop Event

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

Counts

57 → 105

Calls

Call 1

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

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

eval8.0ms (0.5%)

Memory: 18.7MiB live, 18.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 700 to 343 computations (51% saved)

prune4.0ms (0.2%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	92	4	96

Accuracy

100.0%

Counts

96 → 4

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 eps eps) x (*.f64 eps eps)))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
✓	68.6%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
✓	69.8%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

Compiler

Compiled 41 to 41 computations (0% saved)

series9.0ms (0.5%)

Memory

-35.3MiB live, 13.6MiB allocated; 6ms collecting garbage

Counts

6 → 18

Calls

Call 1

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

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx x #s(hole binary64 x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (+ eps eps) #s(hole binary64 (* 2 eps)))
#s(approx eps #s(hole binary64 eps))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ eps eps) x) (* eps eps)) (+ eps eps) eps x (* eps eps))
1.0ms	eps	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ eps eps) x) (* eps eps)) (+ eps eps) eps x (* eps eps))
1.0ms	eps	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ eps eps) x) (* eps eps)) (+ eps eps) eps x (* eps eps))
1.0ms	x	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ eps eps) x) (* eps eps)) (+ eps eps) eps x (* eps eps))
1.0ms	eps	@	0	((- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ eps eps) x) (* eps eps)) (+ eps eps) eps x (* eps eps))

rewrite32.0ms (2%)

Memory

-0.5MiB live, 46.3MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	309
0	58	303
0	256	295

Stop Event

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

Counts

24 → 45

Calls

Call 1

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

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

eval3.0ms (0.2%)

Memory: 7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 266 to 136 computations (48.9% saved)

prune3.0ms (0.2%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	36	4	40

Accuracy

100.0%

Counts

40 → 4

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 eps eps) x (*.f64 eps eps)))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
✓	68.6%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
✓	69.8%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

Compiler

Compiled 87 to 68 computations (21.8% saved)

regimes6.0ms (0.4%)

Memory

15.0MiB live, 15.0MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

Calls

3 calls:

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

Results

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)

regimes8.0ms (0.5%)

Memory

-34.9MiB live, 10.9MiB allocated; 5ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

5.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
2.0ms	eps
1.0ms	x

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)

regimes4.0ms (0.2%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	eps
1.0ms	x
1.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
98.0%	2	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
93.4%	3	`x`
86.7%	3	`eps`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0.2%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	x
1.0ms	eps
1.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
69.8%	1	`eps`
69.8%	1	`x`
69.8%	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

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	8e-323

Compiler

Compiled 11 to 12 computations (-9.1% saved)

derivations61.0ms (3.8%)

Memory

19.2MiB live, 70.8MiB allocated; 6ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 40 to 26 computations (35% saved)

preprocess43.0ms (2.7%)

Memory: 0.1MiB live, 46.5MiB allocated; 3ms collecting garbage
Compiler: Compiled 48 to 33 computations (31.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (65%)

preprocess94.0ms (5.8%)

series6.0ms (0.4%)

rewrite184.0ms (11.4%)

eval11.0ms (0.7%)

prune3.0ms (0.2%)

series15.0ms (0.9%)

rewrite68.0ms (4.2%)

eval8.0ms (0.5%)

prune4.0ms (0.2%)

series9.0ms (0.5%)

rewrite32.0ms (2%)

eval3.0ms (0.2%)

prune3.0ms (0.2%)

regimes6.0ms (0.4%)

regimes8.0ms (0.5%)

regimes4.0ms (0.2%)

regimes3.0ms (0.2%)

bsearch0.0ms (0%)

derivations61.0ms (3.8%)

preprocess43.0ms (2.7%)

end0.0ms (0%)

Profiling