Metrics for Logistic regression 2

start0.0ms (0%)

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

analyze98.0ms (2.6%)

Memory

28.2MiB live, 157.7MiB allocated; 44ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
75%	74.9%	25%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
75%	74.9%	25%	0.1%	0%	0%	0%	10
75%	74.9%	25%	0.1%	0%	0%	0%	11
75%	74.9%	25%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample2.0s (54.3%)

Memory

-23.0MiB live, 1 899.3MiB allocated; 1.8s collecting garbage

Samples

1.0s	2 665×	1	exit
529.0ms	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-log1p: 689.0ms (61.6% of total)

adjust: 237.0ms (21.2% of total)

ival-exp: 103.0ms (9.2% of total)

ival-mult!: 64.0ms (5.7% of total)

ival-sub!: 26.0ms (2.3% of total)

Bogosity

preprocess39.0ms (1%)

Memory

3.9MiB live, 49.0MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	59
1	82	58
2	232	58
3	927	58

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Compiler

Compiled 18 to 16 computations (11.1% saved)

series68.0ms (1.8%)

Memory

24.7MiB live, 111.8MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	344

Stop Event

1×	iter-limit

Counts

8 → 27

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(exp.f64 x)
x
(*.f64 x y)
y

Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))) y))))
#s(approx (log (+ 1 (exp x))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (log (+ 1 (exp x))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)))))
#s(approx (log (+ 1 (exp x))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))
#s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx x x)
#s(approx (* x y) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(literal -1 binary64) (.f64 x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y)))
#s(approx (log (+ 1 (exp x))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
#s(approx (+ 1 (exp x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (.f64 #s(literal -1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y))))
#s(approx y y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (.f64 #s(literal -1 binary64) x)))))

Calls

6 calls:

Time	Variable	Point
31.0ms	x	inf
21.0ms	x	-inf
7.0ms	y	0
2.0ms	y	-inf
2.0ms	y	inf

rewrite107.0ms (2.8%)

Memory

-17.5MiB live, 61.3MiB allocated; 83ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
0	13	26
1	62	26
0	559	22

Stop Event

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

Counts

8 → 87

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(exp.f64 x)
x
(*.f64 x y)
y

Outputs
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 y) x) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y x) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y x) y) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))))
(.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y x) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (.f64 (neg.f64 y) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 y x) y) x))) (neg.f64 (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x)))) (neg.f64 (fma.f64 (.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 y x) y) x)) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x))) (fma.f64 (.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 y x) y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x)))))
(neg.f64 (-.f64 (*.f64 y x) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(fma.f64 (neg.f64 y) x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 (neg.f64 x) y (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 y (neg.f64 x) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 x (neg.f64 y) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (/.f64 (.f64 (.f64 (*.f64 y x) y) x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 (neg.f64 x)) y))
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (*.f64 (neg.f64 y) x)))
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))
(+.f64 (*.f64 (neg.f64 y) x) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(+.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 y) x))
(log.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))))
(log1p.f64 (neg.f64 (neg.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(-.f64 (log.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (log.f64 (neg.f64 (expm1.f64 x))))
(-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (log.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(+.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 0 binary64))
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (exp.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x))))
(.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (expm1.f64 x)))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (expm1.f64 (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))))
(neg.f64 (-.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x) #s(literal 1 binary64))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x))))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x)))
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
(sqrt.f64 (exp.f64 (+.f64 x x)))
(-.f64 (cosh.f64 x) (neg.f64 (sinh.f64 x)))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (exp.f64 x))
(exp.f64 (+.f64 #s(literal 0 binary64) x))
(exp.f64 (-.f64 x #s(literal 0 binary64)))
(exp.f64 x)
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 x)) (.f64 #s(literal 1 binary64) (sinh.f64 x)))
(+.f64 (.f64 (cosh.f64 x) #s(literal 1 binary64)) (.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (/.f64 (cosh.f64 x) #s(literal 1 binary64)) (/.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
(*.f64 y x)
(*.f64 x y)
y

eval13.0ms (0.3%)

Memory: -15.3MiB live, 31.4MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 840 to 444 computations (75.9% saved)

prune6.0ms (0.2%)

Memory

17.0MiB live, 17.0MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	98	10	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	10	109

Accuracy

100.0%

Counts

109 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(fma.f64 (neg.f64 y) x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
▶	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
	99.4%	(-.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 x y))
	99.4%	(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))
▶	91.6%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
▶	79.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y))))
	83.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
	99.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x)))
	45.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(literal -1 binary64) (.f64 x y)))
▶	55.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 272 to 226 computations (16.9% saved)

series43.0ms (1.2%)

Memory

18.9MiB live, 108.8MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	210	1008

Stop Event

1×	iter-limit

Counts

25 → 59

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
(*.f64 x y)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y)))
(.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y))
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
(fma.f64 (neg.f64 y) x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(neg.f64 y)
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
#s(literal -1 binary64)

Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))) y))))
#s(approx (log (+ 1 (exp x))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (log (+ 1 (exp x))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)))))
#s(approx (log (+ 1 (exp x))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx x x)
#s(approx (* x y) (*.f64 x y))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))
#s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
#s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y)))
#s(approx (- (+ 1/2 (* 1/8 x)) y) (-.f64 #s(literal 1/2 binary64) y))
#s(approx (- (+ 1/2 (* 1/8 x)) y) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y))
#s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* 1/8 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))
#s(approx (* 1/8 x) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (* (neg y) x) (log (- (exp x) -1))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) y)))))
#s(approx (+ (* (neg y) x) (log (- (exp x) -1))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) y (.f64 #s(literal 1/8 binary64) x))))))
#s(approx (+ (* (neg y) x) (log (- (exp x) -1))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) y (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(literal -1 binary64) (.f64 x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y)))
#s(approx (log (+ 1 (exp x))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
#s(approx (exp x) (exp.f64 x))
#s(approx (+ 1 (exp x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
#s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x))))
#s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (/.f64 y x))))
#s(approx (- (+ 1/2 (* 1/8 x)) y) (.f64 x (-.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x))))
#s(approx (+ 1/2 (* 1/8 x)) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (neg y) x) (log (- (exp x) -1))) (*.f64 x (fma.f64 #s(literal -1 binary64) y (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (.f64 #s(literal -1 binary64) y)))))
#s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) x)))))
#s(approx (- (+ 1/2 (* 1/8 x)) y) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64)))))
#s(approx (+ (* (neg y) x) (log (- (exp x) -1))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y))))
#s(approx y y)
#s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))))
#s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))
#s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))))
#s(approx (- (+ 1/2 (* 1/8 x)) y) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal 1/8 binary64) x))))
#s(approx (neg y) (*.f64 #s(literal -1 binary64) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x)))
#s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (.f64 y (fma.f64 #s(literal -1 binary64) x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y)))))
#s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y))))
#s(approx (- (+ 1/2 (* 1/8 x)) y) (.f64 y (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 x y) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))))
#s(approx (+ (* (neg y) x) (log (- (exp x) -1))) (*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (.f64 #s(literal -1 binary64) x)))))
#s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))) y))))))
#s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y))))))
#s(approx (- (+ 1/2 (* 1/8 x)) y) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y))))))
#s(approx (+ (* (neg y) x) (log (- (exp x) -1))) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y))))))

Calls

6 calls:

Time	Variable	Point
11.0ms	x	inf
9.0ms	x	-inf
8.0ms	y	inf
5.0ms	y	0
3.0ms	y	-inf

rewrite100.0ms (2.7%)

Memory

-0.8MiB live, 91.5MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	133
0	47	129
1	227	129
0	2075	122

Stop Event

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

Counts

25 → 353

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
(*.f64 x y)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y)))
(.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y))
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
(fma.f64 (neg.f64 y) x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(neg.f64 y)
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
#s(literal -1 binary64)

Outputs
(.f64 (.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 y) x)) #s(literal 1 binary64)) (neg.f64 y)) x)
(.f64 (.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 y) x)) #s(literal 1 binary64)) x) (neg.f64 y))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 y) x) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (.f64 (neg.f64 y) x))) (*.f64 (neg.f64 y) x))
(.f64 (-.f64 (.f64 (.f64 (.f64 y x) y) x) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))))
(.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (.f64 (neg.f64 y) x)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y x) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y x) y) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))))
(.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y x) y) x (*.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))))))
(.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(.f64 (.f64 (neg.f64 y) x) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 y) x)) #s(literal 1 binary64)))
(.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y x) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 (neg.f64 y) x)) (pow.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 y x) y) x (+.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (*.f64 (neg.f64 y) x) (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (*.f64 y x) y) x) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x)))) (neg.f64 (fma.f64 (.f64 (.f64 y x) y) x (.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x)))) (neg.f64 (fma.f64 (.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 y x) y) x)) (neg.f64 (neg.f64 (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 y x) y) x)) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x))) (fma.f64 (.f64 (.f64 y x) y) x (.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x))) (fma.f64 (.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))))
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(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
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(.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(*.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (neg.f64 (expm1.f64 x)) (exp.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (neg.f64 (expm1.f64 x)) (exp.f64 (+.f64 x x))))
(/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (expm1.f64 (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (neg.f64 (expm1.f64 x)) (exp.f64 (+.f64 x x))) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))))
(neg.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(neg.f64 (-.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (cosh.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (sinh.f64 x)))
(fma.f64 (cosh.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (*.f64 (sinh.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (neg.f64 (expm1.f64 x)) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (expm1.f64 x)) (exp.f64 (+.f64 x x)))))
(-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (cosh.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (sinh.f64 x)))
(+.f64 (.f64 (cosh.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) (.f64 (sinh.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
#s(literal -1 binary64)

eval59.0ms (1.6%)

Memory: -6.7MiB live, 82.3MiB allocated; 27ms collecting garbage
Compiler: Compiled 8 882 to 1 473 computations (83.4% saved)

prune43.0ms (1.2%)

Memory

-28.6MiB live, 28.6MiB allocated; 17ms collecting garbage

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	363	4	367
Fresh	1	4	5
Picked	2	3	5
Done	0	0	0
Total	366	11	377

Accuracy

100.0%

Counts

377 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.6%	(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
	99.4%	(-.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 x y))
▶	99.4%	(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))
✓	91.6%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
▶	83.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(approx (+ 1/2 ( 1/8 x)) #s(literal 1/2 binary64)) y))))
	58.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))))
▶	99.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x)))
▶	45.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(literal -1 binary64) (.f64 x y)))
✓	55.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
▶	78.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (.f64 y (fma.f64 #s(literal -1 binary64) x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y))))))

Compiler

Compiled 358 to 289 computations (19.3% saved)

series174.0ms (4.6%)

Memory

6.5MiB live, 192.5MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	336	2074

Stop Event

1×	iter-limit

Counts

37 → 95

Calls

Call 1

Inputs
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(exp.f64 x)
x
#s(literal -1 binary64)
(*.f64 y x)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 x y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(approx (+ 1/2 ( 1/8 x)) #s(literal 1/2 binary64)) y))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(approx (+ 1/2 ( 1/8 x)) #s(literal 1/2 binary64)) y)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 x (-.f64 #s(approx (+ 1/2 ( 1/8 x)) #s(literal 1/2 binary64)) y))
(-.f64 #s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64)) y)
#s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x)))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))
(-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (.f64 y (fma.f64 #s(literal -1 binary64) x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y))))))
#s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (.f64 y (fma.f64 #s(literal -1 binary64) x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y)))))
(.f64 y (fma.f64 #s(literal -1 binary64) x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y))))
(fma.f64 #s(literal -1 binary64) x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))) y)))
(+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))) y))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))) y)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)

Outputs
#s(approx (- (log (- (exp x) -1)) (* y x)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (- (exp x) -1)) (* y x)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (- (exp x) -1)) (* y x)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y))))
#s(approx (- (log (- (exp x) -1)) (* y x)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))) y))))
#s(approx (log (- (exp x) -1)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (log (- (exp x) -1)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)))))
#s(approx (log (- (exp x) -1)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (- (exp x) -1) #s(literal 2 binary64))
#s(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) x))
#s(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx x x)
#s(approx (* y x) (*.f64 x y))
#s(approx (* -1 (* x y)) (.f64 #s(literal -1 binary64) (.f64 x y)))
#s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
#s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y)))
#s(approx (- (+ 1/2 (* 1/8 x)) y) (-.f64 #s(literal 1/2 binary64) y))
#s(approx (- (+ 1/2 (* 1/8 x)) y) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y))
#s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* 1/8 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))
#s(approx (* y (- (/ (log (+ 1 (exp x))) y) x)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))))))
#s(approx (* y (- (/ (log (+ 1 (exp x))) y) x)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/8 binary64) x (.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))))))
#s(approx (* y (- (/ (log (+ 1 (exp x))) y) x)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (fma.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))))))
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (/.f64 (log.f64 #s(literal 2 binary64)) y))
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 x (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 x y) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y) (.f64 x (fma.f64 #s(literal -1/192 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y))))) #s(literal 1 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
#s(approx (/ (log (+ 1 (exp x))) y) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
#s(approx (/ (log (+ 1 (exp x))) y) (fma.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 x y) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
#s(approx (/ (log (+ 1 (exp x))) y) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 (log.f64 #s(literal 2 binary64)) y)))
#s(approx (/ (* x (+ 1/2 (* 1/8 x))) y) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (/ (* x (+ 1/2 (* 1/8 x))) y) (.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 x y) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (* x (+ 1/2 (* 1/8 x))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* x (+ 1/2 (* 1/8 x))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))
#s(approx (* 1/8 x) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (- (log (- (exp x) -1)) (* y x)) (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y)))
#s(approx (log (- (exp x) -1)) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
#s(approx (- (exp x) -1) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x))))
#s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (/.f64 y x))))
#s(approx (- (+ 1/2 (* 1/8 x)) y) (.f64 x (-.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x))))
#s(approx (+ 1/2 (* 1/8 x)) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* y (- (/ (log (+ 1 (exp x))) y) x)) (*.f64 x (fma.f64 #s(literal -1 binary64) y (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))))
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64))))
#s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y))
#s(approx (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 (.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) x))))
#s(approx (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) x)))))
#s(approx (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
#s(approx (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))))))
#s(approx (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
#s(approx (* x (+ 1/2 (* 1/8 x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (log (- (exp x) -1)) (* y x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (.f64 #s(literal -1 binary64) y)))))
#s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) x)))))
#s(approx (- (+ 1/2 (* 1/8 x)) y) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64)))))
#s(approx (* y (- (/ (log (+ 1 (exp x))) y) x)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))))))
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)))))))
#s(approx (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) x)))))
#s(approx (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x) (.f64 y (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))) x)))))
#s(approx (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) x) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) x) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x y))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) x) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (- (log (- (exp x) -1)) (* y x)) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y))))
#s(approx y y)
#s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))))
#s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))))
#s(approx (- (+ 1/2 (* 1/8 x)) y) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal 1/8 binary64) x))))
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (/.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y))) y))
#s(approx (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)))) y))
#s(approx (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))) y))
#s(approx (/ (* x (+ 1/2 (* 1/8 x))) y) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))) y))
#s(approx (- (log (- (exp x) -1)) (* y x)) (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x)))
#s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (.f64 y (fma.f64 #s(literal -1 binary64) x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y)))))
#s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y))))
#s(approx (- (+ 1/2 (* 1/8 x)) y) (*.f64 #s(literal -1 binary64) y))
#s(approx (- (+ 1/2 (* 1/8 x)) y) (.f64 y (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 x y) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))))
#s(approx (* y (- (/ (log (+ 1 (exp x))) y) x)) (*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y))))
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))
#s(approx (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))) (fma.f64 #s(literal -1 binary64) x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))) y))))
#s(approx (- (log (- (exp x) -1)) (* y x)) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (.f64 #s(literal -1 binary64) x)))))
#s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))) y))))))
#s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y))))))
#s(approx (- (+ 1/2 (* 1/8 x)) y) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y))))))
#s(approx (* y (- (/ (log (+ 1 (exp x))) y) x)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y))))))
#s(approx (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y)))) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y)))))))
#s(approx (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))) (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))) y))))
#s(approx (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))) y)))

Calls

6 calls:

Time	Variable	Point
49.0ms	y	0
37.0ms	y	inf
22.0ms	y	-inf
16.0ms	x	-inf
10.0ms	x	inf

rewrite184.0ms (4.9%)

Memory

5.9MiB live, 209.8MiB allocated; 72ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	329
0	73	317
1	378	313
0	3915	267

Stop Event

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

Counts

37 → 609

Calls

Call 1

Inputs
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(exp.f64 x)
x
#s(literal -1 binary64)
(*.f64 y x)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 x y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(approx (+ 1/2 ( 1/8 x)) #s(literal 1/2 binary64)) y))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(approx (+ 1/2 ( 1/8 x)) #s(literal 1/2 binary64)) y)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 x (-.f64 #s(approx (+ 1/2 ( 1/8 x)) #s(literal 1/2 binary64)) y))
(-.f64 #s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64)) y)
#s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x)))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x))
(-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x)
(/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (.f64 y (fma.f64 #s(literal -1 binary64) x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y))))))
#s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (.f64 y (fma.f64 #s(literal -1 binary64) x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y)))))
(.f64 y (fma.f64 #s(literal -1 binary64) x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y))))
(fma.f64 #s(literal -1 binary64) x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))) y)))
(+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))) y))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))) y)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)

Outputs
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 y) x) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y x) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y x) y) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))))
(.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y x) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (.f64 (neg.f64 y) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 y x) y) x))) (neg.f64 (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)))) (neg.f64 (fma.f64 (.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 y x) y) x)) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (fma.f64 (.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 y x) y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)))))
(neg.f64 (-.f64 (*.f64 y x) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(fma.f64 (*.f64 #s(literal -1 binary64) y) x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 (*.f64 y #s(literal -1 binary64)) x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 (neg.f64 y) x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 (neg.f64 x) y (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 y (neg.f64 x) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 x (*.f64 #s(literal -1 binary64) y) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 x (*.f64 y #s(literal -1 binary64)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 x (neg.f64 y) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
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(-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 #s(literal 1/8 binary64) x) (-.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(literal 1/8 binary64) x) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(+.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal -1/8 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 x #s(literal 1/8 binary64))
#s(literal 1/8 binary64)

eval118.0ms (3.1%)

Memory: -12.1MiB live, 174.1MiB allocated; 63ms collecting garbage
Compiler: Compiled 24 812 to 3 412 computations (86.2% saved)

prune17.0ms (0.5%)

Memory

4.8MiB live, 49.7MiB allocated; 5ms collecting garbage

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	658	5	663
Fresh	1	2	3
Picked	4	1	5
Done	0	3	3
Total	663	11	674

Accuracy

100.0%

Counts

674 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.6%	(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	99.4%	(-.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 y x))
✓	99.4%	(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))
✓	91.6%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
▶	83.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64))))
▶	58.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))))
▶	45.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
	91.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64)))) y) x)))
	83.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (log.f64 #s(literal 2 binary64)) y))) x)))
✓	55.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 327 to 251 computations (23.2% saved)

series112.0ms (3%)

Memory

3.0MiB live, 237.6MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	284	1352

Stop Event

1×	iter-limit

Counts

29 → 75

Calls

Call 1

Inputs
(-.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 y x))
(log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(expm1.f64 (+.f64 x x))
(+.f64 x x)
x
(expm1.f64 x)
(*.f64 y x)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64)))
(-.f64 #s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64)) y)
#s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))))
(+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)))))
#s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)

Outputs
#s(approx (- (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (* y x)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (* y x)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (* y x)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y))))
#s(approx (- (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (* y x)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))) y))))
#s(approx (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)))))
#s(approx (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(literal 2 binary64))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (- (exp (+ x x)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (exp (+ x x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))
#s(approx (- (exp (+ x x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x))))))
#s(approx (- (exp (+ x x)) 1) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) x))))))))
#s(approx x x)
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))
#s(approx (* y x) (*.f64 x y))
#s(approx (* (neg y) x) (.f64 #s(literal -1 binary64) (.f64 x y)))
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) y)))))
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) y (.f64 #s(literal 1/8 binary64) x))))))
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) y (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (- (+ 1/2 (* 1/8 x)) y) (-.f64 #s(literal 1/2 binary64) y))
#s(approx (- (+ 1/2 (* 1/8 x)) y) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y))
#s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* 1/8 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))
#s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
#s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y)))
#s(approx (* x (+ 1/2 (* 1/8 x))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* x (+ 1/2 (* 1/8 x))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))
#s(approx (* 1/8 x) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (- (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (* y x)) (.f64 x (-.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 x))) x) y)))
#s(approx (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (log.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x)))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) y)))
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (*.f64 x (fma.f64 #s(literal -1 binary64) y (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))))
#s(approx (log (+ 1 (exp x))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
#s(approx (+ 1 (exp x)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
#s(approx (+ (* (- (+ 1/2 (* 1/8 x)) y) x) (log 2)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (- (+ 1/2 (* 1/8 x)) y) x) (log 2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x))))
#s(approx (+ (* (- (+ 1/2 (* 1/8 x)) y) x) (log 2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (/.f64 y x))))
#s(approx (- (+ 1/2 (* 1/8 x)) y) (.f64 x (-.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x))))
#s(approx (+ 1/2 (* 1/8 x)) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (+ 1/2 (* 1/8 x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (* y x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 (expm1.f64 (neg.f64 (.f64 #s(literal -2 binary64) x))) (expm1.f64 x))) x)) (*.f64 #s(literal -1 binary64) y)))))
#s(approx (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (log.f64 (/.f64 (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) (expm1.f64 x))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (/.f64 (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) (expm1.f64 x)))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (.f64 #s(literal -1 binary64) y)))))
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))))))
#s(approx (+ (* (- (+ 1/2 (* 1/8 x)) y) x) (log 2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) x)))))
#s(approx (- (+ 1/2 (* 1/8 x)) y) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/8 binary64)))))
#s(approx (- (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (* y x)) (+.f64 (log.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 x))) (.f64 #s(literal -1 binary64) (*.f64 x y))))
#s(approx y y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal -1 binary64) (.f64 x y))))
#s(approx (neg y) (*.f64 #s(literal -1 binary64) y))
#s(approx (+ (* (- (+ 1/2 (* 1/8 x)) y) x) (log 2)) (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))))
#s(approx (- (+ 1/2 (* 1/8 x)) y) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal 1/8 binary64) x))))
#s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))))
#s(approx (- (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (* y x)) (.f64 y (-.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 x))) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x)))
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y))))
#s(approx (+ (* (- (+ 1/2 (* 1/8 x)) y) x) (log 2)) (.f64 y (fma.f64 #s(literal -1 binary64) x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y)))))
#s(approx (- (+ 1/2 (* 1/8 x)) y) (.f64 y (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 x y) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))))
#s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y))))
#s(approx (- (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (* y x)) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 x))) y)) (*.f64 #s(literal -1 binary64) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) (.f64 #s(literal -1 binary64) x)))))
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y))))))
#s(approx (+ (* (- (+ 1/2 (* 1/8 x)) y) x) (log 2)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))) y))))))
#s(approx (- (+ 1/2 (* 1/8 x)) y) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y))))))
#s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y))))))

Calls

6 calls:

Time	Variable	Point
33.0ms	x	-inf
31.0ms	x	inf
9.0ms	y	0
4.0ms	y	-inf
4.0ms	y	inf

rewrite43.0ms (1.1%)

Memory

19.2MiB live, 62.0MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	224
0	60	224
0	318	206

Stop Event

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

Counts

29 → 98

Calls

Call 1

Inputs
(-.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 y x))
(log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(expm1.f64 (+.f64 x x))
(+.f64 x x)
x
(expm1.f64 x)
(*.f64 y x)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64)))
(-.f64 #s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64)) y)
#s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))))
(+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)))))
#s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)

Outputs
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y x) (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (-.f64 (.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (.f64 (.f64 y x) (.f64 y x))) (+.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 y x)))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (fma.f64 (.f64 y x) (.f64 y x) (.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 y x)))))
(neg.f64 (-.f64 (*.f64 y x) (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(-.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 y x))
(+.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 (neg.f64 y) x))
(-.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log.f64 (expm1.f64 x)))
(log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (expm1.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 (+.f64 x x)))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -1 binary64))
(expm1.f64 (+.f64 x x))
(-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(+.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x)) x)
(*.f64 #s(literal 2 binary64) x)
(/.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
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (exp.f64 x))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(expm1.f64 x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(*.f64 y x)
(*.f64 x y)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(neg.f64 (*.f64 y x))
(neg.f64 y)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 (neg.f64 y) x))) (*.f64 (neg.f64 y) x))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 (neg.f64 y) x)) (.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (-.f64 (*.f64 (neg.f64 y) x) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 y) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (neg.f64 y) x) (.f64 (neg.f64 y) x) (-.f64 (.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 y) x) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))))
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 x (neg.f64 y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(-.f64 (*.f64 (neg.f64 y) x) (neg.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 (neg.f64 y) x))
(+.f64 (*.f64 (neg.f64 y) x) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 (-.f64 #s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64)) y) x))) (.f64 (-.f64 #s(approx (+ 1/2 ( 1/8 x)) #s(literal 1/2 binary64)) y) x))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64)) y) x) (.f64 (-.f64 #s(approx (+ 1/2 ( 1/8 x)) #s(literal 1/2 binary64)) y) x)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) (-.f64 (.f64 (-.f64 #s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64)) y) x) (log.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(approx (+ 1/2 ( 1/8 x)) #s(literal 1/2 binary64)) y) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 #s(approx (+ 1/2 ( 1/8 x)) #s(literal 1/2 binary64)) y) x) (.f64 (-.f64 #s(approx (+ 1/2 ( 1/8 x)) #s(literal 1/2 binary64)) y) x) (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 (.f64 (-.f64 #s(approx (+ 1/2 ( 1/8 x)) #s(literal 1/2 binary64)) y) x) (log.f64 #s(literal 2 binary64))))))
(fma.f64 (-.f64 #s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64)))
(fma.f64 x (-.f64 #s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(-.f64 (.f64 (-.f64 #s(approx (+ 1/2 ( 1/8 x)) #s(literal 1/2 binary64)) y) x) (neg.f64 (log.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (-.f64 #s(approx (+ 1/2 ( 1/8 x)) #s(literal 1/2 binary64)) y) x) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 (-.f64 #s(approx (+ 1/2 ( 1/8 x)) #s(literal 1/2 binary64)) y) x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 y #s(approx (+ 1/2 ( 1/8 x)) #s(literal 1/2 binary64)))) #s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(approx (+ 1/2 ( 1/8 x)) #s(literal 1/2 binary64)) #s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64))) (.f64 y y)) (+.f64 #s(approx (+ 1/2 ( 1/8 x)) #s(literal 1/2 binary64)) y))
(/.f64 (-.f64 (pow.f64 #s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64)) #s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64)) (fma.f64 y y (.f64 #s(approx (+ 1/2 ( 1/8 x)) #s(literal 1/2 binary64)) y))))
(neg.f64 (-.f64 y #s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64))))
(-.f64 #s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64)) y)
(+.f64 #s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64)) (neg.f64 y))
#s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x)) (log.f64 #s(literal 2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(approx ( x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x)) (log.f64 #s(literal 2 binary64)))) (log.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x)) #s(approx ( x (- (+ 1/2 (* 1/8 x)) y)) (.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x)))) (-.f64 (log.f64 #s(literal 2 binary64)) #s(approx ( x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x)) #s(approx ( x (- (+ 1/2 (* 1/8 x)) y)) (.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x))) (.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x))))))
(-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x))))
(+.f64 #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x)) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x)))
#s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x)
(*.f64 x (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 #s(literal 1/8 binary64) x) x))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 #s(literal 1/8 binary64) x)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (*.f64 #s(literal 1/8 binary64) x)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 #s(literal 1/8 binary64) x) x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/8 binary64) x))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/8 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)))))
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))
(-.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 1/8 binary64) x)))
(+.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 x #s(literal 1/8 binary64))
#s(literal 1/8 binary64)

eval26.0ms (0.7%)

Memory: 0.4MiB live, 46.7MiB allocated; 20ms collecting garbage
Compiler: Compiled 4 240 to 766 computations (81.9% saved)

prune7.0ms (0.2%)

Memory

21.9MiB live, 21.9MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	153	2	155
Fresh	0	2	2
Picked	2	3	5
Done	0	4	4
Total	155	11	166

Accuracy

100.0%

Counts

166 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.6%	(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	99.4%	(-.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 y x))
✓	99.4%	(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))
✓	91.6%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
	58.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x))))
	55.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) #s(approx (* x (+ 1/2 (* 1/8 x))) (*.f64 #s(literal 1/2 binary64) x)))))
✓	45.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
	91.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64)))) y) x)))
	83.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (log.f64 #s(literal 2 binary64)) y))) x)))
✓	55.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 193 to 146 computations (24.4% saved)

regimes207.0ms (5.5%)

Memory

-17.4MiB live, 202.3MiB allocated; 179ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

3 → 3

5 → 2

6 → 2

12 → 2

14 → 2

16 → 1

17 → 1

22 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))

Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))

Call 2

Inputs

#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))

#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))

#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))

Outputs

#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))

#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))

#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))

Call 3

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) #s(approx (* x (+ 1/2 (* 1/8 x))) (*.f64 #s(literal 1/2 binary64) x)))))

Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))

Call 4

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) #s(approx (* x (+ 1/2 (* 1/8 x))) (*.f64 #s(literal 1/2 binary64) x)))))
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))

Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))

Call 5

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) #s(approx (* x (+ 1/2 (* 1/8 x))) (*.f64 #s(literal 1/2 binary64) x)))))
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(approx (+ 1/2 ( 1/8 x)) #s(literal 1/2 binary64)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64)))) y) x)))

Outputs

#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))

#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64))))

Call 6

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) #s(approx (* x (+ 1/2 (* 1/8 x))) (*.f64 #s(literal 1/2 binary64) x)))))
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(approx (+ 1/2 ( 1/8 x)) #s(literal 1/2 binary64)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64)))) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (log.f64 #s(literal 2 binary64)) y))) x)))

Outputs

#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))

#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) y))))

Call 7

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) #s(approx (* x (+ 1/2 (* 1/8 x))) (*.f64 #s(literal 1/2 binary64) x)))))
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(approx (+ 1/2 ( 1/8 x)) #s(literal 1/2 binary64)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64)))) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (log.f64 #s(literal 2 binary64)) y))) x)))
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Outputs
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))

Call 8

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) #s(approx (* x (+ 1/2 (* 1/8 x))) (*.f64 #s(literal 1/2 binary64) x)))))
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(approx (+ 1/2 ( 1/8 x)) #s(literal 1/2 binary64)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64)))) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (log.f64 #s(literal 2 binary64)) y))) x)))
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))

Outputs
(fma.f64 (neg.f64 y) x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))

Call 9

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(literal -1 binary64) (.f64 x y)))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) #s(approx (* x (+ 1/2 (* 1/8 x))) (*.f64 #s(literal 1/2 binary64) x)))))
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(approx (+ 1/2 (* 1/8 x)) #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 #s(approx (+ 1/2 ( 1/8 x)) #s(literal 1/2 binary64)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) #s(approx (* x (- (+ 1/2 (* 1/8 x)) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64)))) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (log.f64 #s(literal 2 binary64)) y))) x)))
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y) x)))
(-.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 y x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (.f64 y (fma.f64 #s(literal -1 binary64) x (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) y))))))

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Calls

20 calls:

36.0ms	y
8.0ms	y
7.0ms	x
6.0ms	x
5.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
45.1%	1	`x`
45.1%	1	`y`
45.1%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
96.9%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
83.8%	2	`x`
98.7%	2	`x`
98.7%	2	`x`
99.0%	2	`x`
97.8%	2	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
99.4%	2	`x`
91.6%	1	`y`
99.4%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
99.4%	1	`x`
99.4%	1	`y`
99.4%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
99.4%	1	`x`
99.4%	1	`y`
99.6%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
99.6%	1	`x`
99.6%	1	`y`

Compiler

Compiled 486 to 185 computations (61.9% saved)

bsearch28.0ms (0.8%)

Memory

-29.0MiB live, 23.5MiB allocated; 10ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-44857.75446569325	-22.236130341711494

Samples

6.0ms

128×

valid

Compiler

Compiled 300 to 259 computations (13.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-exp: 1.0ms (32.5% of total)

ival-log1p: 1.0ms (32.5% of total)

ival-mult!: 1.0ms (32.5% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

bsearch44.0ms (1.2%)

Memory

-18.9MiB live, 27.3MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
43.0ms	-22.236130341711494	-0.0009327680120537375

Samples

7.0ms

128×

valid

Compiler

Compiled 308 to 267 computations (13.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-exp: 1.0ms (26.9% of total)

ival-log1p: 1.0ms (26.9% of total)

ival-mult!: 1.0ms (26.9% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

bsearch6.0ms (0.2%)

Memory

12.3MiB live, 12.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	-44857.75446569325	-22.236130341711494

Samples

3.0ms

64×

valid

Compiler

Compiled 212 to 195 computations (8% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-exp: 1.0ms (63.9% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-log1p: 0.0ms (0% of total)

ival-mult!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-44857.75446569325	-22.236130341711494

Compiler

Compiled 212 to 195 computations (8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9884258592140366	63760.77182304694
0.0ms	0.002080125366306252	0.4641522583807547

Compiler

Compiled 12 to 13 computations (-8.3% saved)

derivations60.0ms (1.6%)

Memory

18.0MiB live, 50.7MiB allocated; 24ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 242 to 63 computations (74% saved)

preprocess114.0ms (3%)

Memory: 30.1MiB live, 210.7MiB allocated; 67ms collecting garbage
Compiler: Compiled 277 to 89 computations (67.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze98.0ms (2.6%)

sample2.0s (54.3%)

preprocess39.0ms (1%)

series68.0ms (1.8%)

rewrite107.0ms (2.8%)

eval13.0ms (0.3%)

prune6.0ms (0.2%)

series43.0ms (1.2%)

rewrite100.0ms (2.7%)

eval59.0ms (1.6%)

prune43.0ms (1.2%)

series174.0ms (4.6%)

rewrite184.0ms (4.9%)

eval118.0ms (3.1%)

prune17.0ms (0.5%)

series112.0ms (3%)

rewrite43.0ms (1.1%)

eval26.0ms (0.7%)

prune7.0ms (0.2%)

regimes207.0ms (5.5%)

bsearch28.0ms (0.8%)

bsearch44.0ms (1.2%)

bsearch6.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

derivations60.0ms (1.6%)

preprocess114.0ms (3%)

end0.0ms (0%)

Profiling