Metrics for Logistic regression 2

start0.0ms (0%)

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

analyze84.0ms (2.8%)

Memory

13.6MiB live, 65.8MiB allocated; 28ms 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)

sample1.2s (37.7%)

Memory

5.7MiB live, 1 170.6MiB allocated; 292ms collecting garbage

Samples

485.0ms	8 256×	0	valid
210.0ms	2 647×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 424.0ms

ival-log1p: 180.0ms (42.4% of total)

ival-exp: 110.0ms (25.9% of total)

ival-mult!: 62.0ms (14.6% of total)

adjust: 49.0ms (11.6% of total)

ival-sub!: 24.0ms (5.7% of total)

Bogosity

preprocess38.0ms (1.2%)

Memory

2.3MiB live, 45.0MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	60
1	54	58
2	130	58
3	294	58
4	1178	58
5	5705	58

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Compiler

Compiled 16 to 16 computations (0% saved)

series91.0ms (3%)

Memory

20.5MiB live, 123.8MiB allocated; 56ms collecting garbage

Counts

8 → 29

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

Calls

6 calls:

Time	Variable		Point	Expression
47.0ms	x	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
36.0ms	x	@	inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
3.0ms	y	@	0	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
2.0ms	y	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
2.0ms	y	@	inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)

rewrite147.0ms (4.8%)

Memory

-26.4MiB live, 162.8MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	433
0	109	424
1	563	422
0	4887	350

Stop Event

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

Counts

37 → 90

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

Outputs
(/.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 (.f64 (neg.f64 x) y) (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 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 y y) y) (.f64 (.f64 x x) 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 y y) y) (.f64 (.f64 x x) x))) (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 x) 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 3 binary64)) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) 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))))
(fma.f64 (neg.f64 x) y (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 #s(literal -1 binary64) (*.f64 y x) (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 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 y y) y) (.f64 (.f64 x x) 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 (.f64 (neg.f64 x) y) #s(literal -1 binary64)))
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))
(+.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 (neg.f64 x) 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 (*.f64 (neg.f64 x) y) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(+.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 x) y))
(log1p.f64 (exp.f64 x))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.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))))
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (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 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.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)))
(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) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (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 #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) (exp.f64 x))
#s(literal 1 binary64)
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 2 binary64))
(/.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)))))
(neg.f64 (*.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)))
(exp.f64 (+.f64 #s(literal 0 binary64) x))
(exp.f64 x)
(+.f64 (.f64 (cosh.f64 x) #s(literal 1 binary64)) (.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 x)) (.f64 #s(literal 1 binary64) (sinh.f64 x)))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
(.f64 (.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 x y)
(.f64 #s(literal 1 binary64) (.f64 y x))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) y))
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #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)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* x y) (*.f64 y x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) x))
#s(approx (log (+ 1 (exp x))) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (+ 1 (exp x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) (neg.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)))
#s(approx y y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x)) (neg.f64 y)))

eval10.0ms (0.3%)

Memory: 11.5MiB live, 11.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 752 to 326 computations (56.6% saved)

prune5.0ms (0.2%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	76	8	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	8	85

Accuracy

99.7%

Counts

85 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	89.0%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
▶	73.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
	79.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
▶	98.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x) y))
▶	53.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
	47.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
	47.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 194 to 194 computations (0% saved)

series83.0ms (2.7%)

Memory

20.6MiB live, 110.2MiB allocated; 10ms collecting garbage

Counts

27 → 94

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

Calls

6 calls:

Time	Variable		Point	Expression
35.0ms	y	@	inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) x (* x y) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) 1/2 (log 2) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (/ (log (- (exp x) -1)) y) (log (- (exp x) -1)) (- (exp x) -1) -1)
16.0ms	y	@	0	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) x (* x y) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) 1/2 (log 2) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (/ (log (- (exp x) -1)) y) (log (- (exp x) -1)) (- (exp x) -1) -1)
12.0ms	y	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) x (* x y) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) 1/2 (log 2) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (/ (log (- (exp x) -1)) y) (log (- (exp x) -1)) (- (exp x) -1) -1)
8.0ms	x	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) x (* x y) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) 1/2 (log 2) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (/ (log (- (exp x) -1)) y) (log (- (exp x) -1)) (- (exp x) -1) -1)
8.0ms	x	@	inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) x (* x y) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) 1/2 (log 2) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (/ (log (- (exp x) -1)) y) (log (- (exp x) -1)) (- (exp x) -1) -1)

rewrite170.0ms (5.6%)

Memory

9.8MiB live, 143.3MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	296	1730
0	324	1637
1	1570	1630
0	8609	1568

Stop Event

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

Counts

121 → 226

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

Outputs
(/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 (neg.f64 x) 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 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (.f64 y x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1 binary64) (.f64 y x)) (.f64 #s(literal 1 binary64) (.f64 y x)) (.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (*.f64 y x))))))
(/.f64 (fma.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (neg.f64 x) y) (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 y x) (.f64 y x) (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 x) y) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (neg.f64 x) y)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 (neg.f64 x) y))))))
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(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (neg.f64 x) y))) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 (neg.f64 x) y)))))
(fma.f64 #s(literal -1 binary64) (*.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))))
(-.f64 (/.f64 (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 y x))) (/.f64 (.f64 (.f64 y x) (.f64 y x)) (+.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x))))
(-.f64 (/.f64 (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 x) y))) (/.f64 (.f64 (.f64 y x) (.f64 y x)) (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) y))))
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(log1p.f64 (exp.f64 x))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
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(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x)))
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(exp.f64 x)
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
(*.f64 y x)
(*.f64 x y)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
(.f64 #s(literal -1 binary64) (.f64 y x))
(*.f64 (neg.f64 x) y)
(.f64 (.f64 y x) #s(literal -1 binary64))
(*.f64 y (neg.f64 x))
(neg.f64 (*.f64 y x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(/.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (neg.f64 x) y))) (fma.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 (.f64 y x) (.f64 y x)) (.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 (neg.f64 x) y)))))
(/.f64 (neg.f64 (-.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 y x) (.f64 y x)))) (neg.f64 (+.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 y x))))
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(-.f64 (/.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 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 y x))) (/.f64 (.f64 (.f64 y x) (.f64 y x)) (+.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 y x))))
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(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(literal 2 binary64)
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(-.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) #s(literal 2 binary64)) (fma.f64 x x (.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x)))) (/.f64 (.f64 (.f64 x x) x) (+.f64 (pow.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) #s(literal 2 binary64)) (fma.f64 x x (.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x)))))
(-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x)
(/.f64 (neg.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (neg.f64 y))
(/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y)
(-.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (log.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (log.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal -1 binary64))))))
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (+.f64 (exp.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 (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)))
(/.f64 (-.f64 (exp.f64 (.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 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* x y) (*.f64 y x))
#s(approx (* (neg x) y) (*.f64 (neg.f64 x) y))
#s(approx (neg x) (neg.f64 x))
#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)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (-.f64 #s(literal 1/2 binary64) y))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (log.f64 #s(literal 2 binary64)))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y (*.f64 #s(literal 1/8 binary64) x)) x (log.f64 #s(literal 2 binary64))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y (.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (/.f64 (log.f64 #s(literal 2 binary64)) y))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (fma.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) y) x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)))
#s(approx (/ (log (- (exp x) -1)) y) (/.f64 (log.f64 #s(literal 2 binary64)) y))
#s(approx (/ (log (- (exp x) -1)) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y))
#s(approx (/ (log (- (exp x) -1)) y) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y))
#s(approx (/ (log (- (exp x) -1)) y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) y) x (/.f64 #s(literal 1/2 binary64) y)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)))
#s(approx (log (- (exp x) -1)) (log.f64 #s(literal 2 binary64)))
#s(approx (log (- (exp x) -1)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (- (exp x) -1)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (- (exp x) -1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (- (exp x) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) x) y) x))
#s(approx (log (+ 1 (exp x))) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
#s(approx (exp x) (exp.f64 x))
#s(approx (+ 1 (exp x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (.f64 x x)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/8 binary64)) (/.f64 y x)) (*.f64 x x)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) x))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (*.f64 (neg.f64 x) y))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (*.f64 (+.f64 (neg.f64 y) (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) x)) x))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (neg.f64 x))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (.f64 (-.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 y x)) #s(literal 1 binary64)) x))
#s(approx (/ (log (- (exp x) -1)) y) (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y))
#s(approx (log (- (exp x) -1)) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
#s(approx (- (exp x) -1) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) x)) (neg.f64 y))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) x) (neg.f64 (-.f64 #s(literal 1/2 binary64) y))) x)) #s(literal 1/8 binary64)) (.f64 x x)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 1/8 binary64))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) x)) y)))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 y x))) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)))
#s(approx y y)
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (*.f64 (neg.f64 x) y)) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (+.f64 (fma.f64 #s(literal 1/8 binary64) x (neg.f64 y)) #s(literal 1/2 binary64)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(approx (- 1/2 y) (+.f64 (neg.f64 y) #s(literal 1/2 binary64)))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (/.f64 (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y) x) y))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (neg.f64 x) y))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) (neg.f64 x)) y))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y))
#s(approx (- 1/2 y) (neg.f64 y))
#s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (*.f64 (+.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y) (neg.f64 x)) y))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (-.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (-.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y)) (neg.f64 x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y)) x)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)) #s(literal 1 binary64))))
#s(approx (- 1/2 y) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y)) x)))

eval24.0ms (0.8%)

Memory: 1.8MiB live, 45.1MiB allocated; 5ms collecting garbage
Compiler: Compiled 2 843 to 985 computations (65.4% saved)

prune12.0ms (0.4%)

Memory

-25.7MiB live, 20.4MiB allocated; 2ms collecting garbage

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	209	5	214
Fresh	0	3	3
Picked	2	3	5
Done	0	0	0
Total	211	11	222

Accuracy

99.7%

Counts

222 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	89.0%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
▶	49.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
▶	79.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
▶	89.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
	89.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x) y))
✓	53.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
▶	72.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y))
	47.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
▶	47.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
	5.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (.f64 x x) #s(literal 1/8 binary64))))

Compiler

Compiled 311 to 307 computations (1.3% saved)

series61.0ms (2%)

Memory

-5.2MiB live, 98.8MiB allocated; 18ms collecting garbage

Counts

27 → 102

Calls

Call 1

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

Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- 1/2 y)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (log 2)))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1))))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1)))))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1)))))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (/ (log 2) y)))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y))))
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (log 2) y)))
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y))))
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y))))
#s(approx (- (/ (+ (* 1/8 x) 1/2) y) 1) #s(hole binary64 (- (* 1/2 (/ 1 y)) 1)))
#s(approx (- (/ (+ (* 1/8 x) 1/2) y) 1) #s(hole binary64 (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)))
#s(approx (/ (+ (* 1/8 x) 1/2) y) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (+ (* 1/8 x) 1/2) y) #s(hole binary64 (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))))
#s(approx (+ (* 1/8 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/8 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* 1/8 x)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- 1/2 y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- (+ 1/2 (/ (log 2) x)) y))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (* -1 (* x y))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (* -1 x)))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) (* x y)) 1))))
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* 1/8 (/ (pow x 2) y))))
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* (pow x 2) (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x)))))
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* (pow x 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/8 (/ 1 y)) (/ (log 2) (* (pow x 2) y)))) (/ 1 x)))))
#s(approx (- (/ (+ (* 1/8 x) 1/2) y) 1) #s(hole binary64 (* 1/8 (/ x y))))
#s(approx (- (/ (+ (* 1/8 x) 1/2) y) 1) #s(hole binary64 (* x (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x)))))
#s(approx (/ (+ (* 1/8 x) 1/2) y) #s(hole binary64 (* 1/8 (/ x y))))
#s(approx (/ (+ (* 1/8 x) 1/2) y) #s(hole binary64 (* x (+ (* 1/8 (/ 1 y)) (* 1/2 (/ 1 (* x y)))))))
#s(approx (+ (* 1/8 x) 1/2) #s(hole binary64 (* 1/8 x)))
#s(approx (+ (* 1/8 x) 1/2) #s(hole binary64 (* x (+ 1/8 (* 1/2 (/ 1 x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))))
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (- (* 1/2 (/ 1 y)) 1)) (* -1 (/ (log 2) (* x y)))) x)) (* 1/8 (/ 1 y))))))
#s(approx (- (/ (+ (* 1/8 x) 1/2) y) 1) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 y)) 1) x)) (* 1/8 (/ 1 y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (* 1/8 x))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))))
#s(approx (- 1/2 y) #s(hole binary64 1/2))
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (/ (log (+ 1 (exp x))) y)))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) y)))
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))) y)))
#s(approx (- (/ (+ (* 1/8 x) 1/2) y) 1) #s(hole binary64 (/ (+ 1/2 (* 1/8 x)) y)))
#s(approx (- (/ (+ (* 1/8 x) 1/2) y) 1) #s(hole binary64 (/ (+ 1/2 (+ (* -1 y) (* 1/8 x))) y)))
#s(approx (/ (+ (* 1/8 x) 1/2) y) #s(hole binary64 (/ (+ 1/2 (* 1/8 x)) y)))
#s(approx (/ (log 2) y) #s(hole binary64 (/ (log 2) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 y)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))))
#s(approx (- 1/2 y) #s(hole binary64 (* -1 y)))
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (- (/ (log (+ 1 (exp x))) y) x)))
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y)))))
#s(approx (- (/ (+ (* 1/8 x) 1/2) y) 1) #s(hole binary64 -1))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))))
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))))
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* -1 x) (* -1 (/ (+ (* -1 (log 2)) (* -1 (* x (+ 1/2 (* 1/8 x))))) y)))))

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	y	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (- (/ (+ (* 1/8 x) 1/2) y) 1) (/ (+ (* 1/8 x) 1/2) y) (+ (* 1/8 x) 1/2) 1 (/ (log 2) y))
17.0ms	y	@	0	((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (- (/ (+ (* 1/8 x) 1/2) y) 1) (/ (+ (* 1/8 x) 1/2) y) (+ (* 1/8 x) 1/2) 1 (/ (log 2) y))
13.0ms	y	@	inf	((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (- (/ (+ (* 1/8 x) 1/2) y) 1) (/ (+ (* 1/8 x) 1/2) y) (+ (* 1/8 x) 1/2) 1 (/ (log 2) y))
4.0ms	x	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (- (/ (+ (* 1/8 x) 1/2) y) 1) (/ (+ (* 1/8 x) 1/2) y) (+ (* 1/8 x) 1/2) 1 (/ (log 2) y))
4.0ms	x	@	inf	((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (- (/ (+ (* 1/8 x) 1/2) y) 1) (/ (+ (* 1/8 x) 1/2) y) (+ (* 1/8 x) 1/2) 1 (/ (log 2) y))

rewrite209.0ms (6.8%)

Memory

14.1MiB live, 200.8MiB allocated; 73ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	342	2360
0	369	2167
1	1875	2157
0	8071	2049

Stop Event

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

Counts

129 → 257

Calls

Call 1

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

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

eval26.0ms (0.8%)

Memory: 33.1MiB live, 33.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 564 to 1 307 computations (63.3% saved)

prune12.0ms (0.4%)

Memory

-27.0MiB live, 18.5MiB allocated; 4ms collecting garbage

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	224	3	227
Fresh	1	2	3
Picked	1	4	5
Done	0	3	3
Total	226	12	238

Accuracy

99.7%

Counts

238 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	89.0%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
✓	49.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
✓	79.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
✓	89.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
▶	89.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x) y))
✓	53.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
▶	49.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(approx (- (/ (log (- (exp x) -1)) y) x) (fma.f64 #s(approx (- (/ (+ ( 1/8 x) 1/2) y) 1) (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y))
▶	47.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
✓	47.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
▶	48.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))))
▶	34.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))

Compiler

Compiled 293 to 289 computations (1.4% saved)

series113.0ms (3.7%)

Memory

-16.7MiB live, 130.2MiB allocated; 21ms collecting garbage

Counts

32 → 110

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
35.0ms	y	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (/ (log (- (exp x) -1)) y) (log (- (exp x) -1)) (- (exp x) -1) 2 y x (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (+ (* 1/2 x) (log 2)) (log 2) (- (log (+ 1 (exp x))) (* x y)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) -1 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (- (/ (+ (* 1/8 x) 1/2) y) 1) (/ (+ (* 1/8 x) 1/2) y) (+ (* 1/8 x) 1/2) 1/8 (/ (log 2) y))
35.0ms	y	@	inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (/ (log (- (exp x) -1)) y) (log (- (exp x) -1)) (- (exp x) -1) 2 y x (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (+ (* 1/2 x) (log 2)) (log 2) (- (log (+ 1 (exp x))) (* x y)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) -1 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (- (/ (+ (* 1/8 x) 1/2) y) 1) (/ (+ (* 1/8 x) 1/2) y) (+ (* 1/8 x) 1/2) 1/8 (/ (log 2) y))
14.0ms	y	@	0	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (/ (log (- (exp x) -1)) y) (log (- (exp x) -1)) (- (exp x) -1) 2 y x (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (+ (* 1/2 x) (log 2)) (log 2) (- (log (+ 1 (exp x))) (* x y)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) -1 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (- (/ (+ (* 1/8 x) 1/2) y) 1) (/ (+ (* 1/8 x) 1/2) y) (+ (* 1/8 x) 1/2) 1/8 (/ (log 2) y))
14.0ms	x	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (/ (log (- (exp x) -1)) y) (log (- (exp x) -1)) (- (exp x) -1) 2 y x (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (+ (* 1/2 x) (log 2)) (log 2) (- (log (+ 1 (exp x))) (* x y)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) -1 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (- (/ (+ (* 1/8 x) 1/2) y) 1) (/ (+ (* 1/8 x) 1/2) y) (+ (* 1/8 x) 1/2) 1/8 (/ (log 2) y))
10.0ms	x	@	inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (/ (log (- (exp x) -1)) y) (log (- (exp x) -1)) (- (exp x) -1) 2 y x (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (+ (* 1/2 x) (log 2)) (log 2) (- (log (+ 1 (exp x))) (* x y)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) -1 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (- (/ (+ (* 1/8 x) 1/2) y) 1) (/ (+ (* 1/8 x) 1/2) y) (+ (* 1/8 x) 1/2) 1/8 (/ (log 2) y))

rewrite172.0ms (5.6%)

Memory

16.3MiB live, 158.4MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	355	2395
0	380	2246
1	1933	2234
0	8169	2092

Stop Event

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

Counts

142 → 242

Calls

Call 1

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

Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x) y))
(*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x) y)
(*.f64 y (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) (.f64 y y)) (*.f64 x x))) (neg.f64 (+.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) #s(literal 3 binary64)) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) (fma.f64 x x (*.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x)))))
(/.f64 (-.f64 (/.f64 (.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) (.f64 y y)) (*.f64 x x)) (+.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) #s(literal 3 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) (fma.f64 x x (*.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x))))
(-.f64 (/.f64 (/.f64 (.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) (.f64 y y)) (+.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x)) (/.f64 (*.f64 x x) (+.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x)))
(-.f64 (/.f64 (pow.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) #s(literal 3 binary64)) (fma.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) (fma.f64 x x (.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) (fma.f64 x x (.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x)))))
(-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x)
(/.f64 (neg.f64 (neg.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) (neg.f64 y))
(/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y)
(log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))
#s(approx (- (exp x) -1) #s(literal 2 binary64))
#s(literal 2 binary64)
y
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 y y (*.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 #s(literal 1/2 binary64) y))
(/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 1/4 binary64) (fma.f64 y y (*.f64 #s(literal 1/2 binary64) y))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) y)))
(-.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 y y (.f64 #s(literal 1/2 binary64) y)))) (/.f64 (.f64 (.f64 y y) y) (+.f64 #s(literal 1/4 binary64) (fma.f64 y y (.f64 #s(literal 1/2 binary64) y)))))
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (.f64 (*.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (.f64 (*.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x))))
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(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/512 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)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/8 binary64) x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)))))
(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 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x))) (/.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))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/8 binary64) x)) (-.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.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) (+.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))))) (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/512 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))))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/512 binary64)) (fma.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/8 binary64) x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/8 binary64) x) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64))))))
(+.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))
#s(literal 1/8 binary64)
(*.f64 (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y))
(/.f64 (neg.f64 (log.f64 #s(literal 1/2 binary64))) (neg.f64 (neg.f64 y)))
(/.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 y))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (log.f64 #s(literal 2 binary64)))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y (*.f64 #s(literal 1/8 binary64) x)) x (log.f64 #s(literal 2 binary64))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y (.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (/.f64 (log.f64 #s(literal 2 binary64)) y))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (fma.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) y) x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)))
#s(approx (/ (log (- (exp x) -1)) y) (/.f64 (log.f64 #s(literal 2 binary64)) y))
#s(approx (/ (log (- (exp x) -1)) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y))
#s(approx (/ (log (- (exp x) -1)) y) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y))
#s(approx (/ (log (- (exp x) -1)) y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) y) x (/.f64 #s(literal 1/2 binary64) y)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)))
#s(approx (log (- (exp x) -1)) (log.f64 #s(literal 2 binary64)))
#s(approx (log (- (exp x) -1)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (- (exp x) -1)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (- (exp x) -1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (- (exp x) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (+ (* (- 1/2 y) x) (log 2)) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (* (- 1/2 y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
#s(approx (+ (* 1/2 x) (log 2)) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* 1/2 x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (/.f64 (log.f64 #s(literal 2 binary64)) y))
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)))
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)))
#s(approx (- (/ (+ (* 1/8 x) 1/2) y) 1) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))
#s(approx (- (/ (+ (* 1/8 x) 1/2) y) 1) (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))
#s(approx (/ (+ (* 1/8 x) 1/2) y) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (+ (* 1/8 x) 1/2) y) (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y))
#s(approx (+ (* 1/8 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/8 x) 1/2) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) x) y) x))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (*.f64 (neg.f64 x) y))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (*.f64 (+.f64 (neg.f64 y) (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) x)) x))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (neg.f64 x))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (.f64 (-.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 y x)) #s(literal 1 binary64)) x))
#s(approx (/ (log (- (exp x) -1)) y) (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y))
#s(approx (log (- (exp x) -1)) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
#s(approx (- (exp x) -1) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x))
#s(approx (+ (* 1/2 x) (log 2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) (log 2)) (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) x))
#s(approx (exp x) (exp.f64 x))
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/8 binary64)))
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (.f64 x x)))
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (.f64 (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 (.f64 x x) y))) (/.f64 #s(literal 1 binary64) x)) (.f64 x x)))
#s(approx (- (/ (+ (* 1/8 x) 1/2) y) 1) (*.f64 (/.f64 x y) #s(literal 1/8 binary64)))
#s(approx (- (/ (+ (* 1/8 x) 1/2) y) 1) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ (+ (* 1/8 x) 1/2) y) (*.f64 (/.f64 x y) #s(literal 1/8 binary64)))
#s(approx (/ (+ (* 1/8 x) 1/2) y) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x))
#s(approx (+ (* 1/8 x) 1/2) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (* 1/8 x) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) x)) (neg.f64 y))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) x)) y)))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 y x))) #s(literal 1 binary64))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (log.f64 #s(literal 2 binary64)) x))))
#s(approx (+ (* 1/2 x) (log 2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64))))
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 y x))) x)) (/.f64 #s(literal 1/8 binary64) y)) (*.f64 x x)))
#s(approx (- (/ (+ (* 1/8 x) 1/2) y) 1) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) x) (/.f64 #s(literal 1/8 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (/.f64 (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)) y))
#s(approx y y)
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)) (log.f64 #s(literal 2 binary64))))
#s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (- 1/2 y) x) (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(approx (- 1/2 y) (+.f64 (neg.f64 y) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y))
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (/.f64 (+.f64 (fma.f64 (neg.f64 x) y (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x)) (log.f64 #s(literal 2 binary64))) y))
#s(approx (- (/ (+ (* 1/8 x) 1/2) y) 1) (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y))
#s(approx (- (/ (+ (* 1/8 x) 1/2) y) 1) (/.f64 (+.f64 (fma.f64 #s(literal 1/8 binary64) x (neg.f64 y)) #s(literal 1/2 binary64)) y))
#s(approx (/ (+ (* 1/8 x) 1/2) y) (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y))
#s(approx (/ (log 2) y) (/.f64 (log.f64 #s(literal 2 binary64)) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y) x) y))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (*.f64 (+.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y) (neg.f64 x)) y))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (-.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y) x))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 x) y))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (+.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) y))
#s(approx (* (- 1/2 y) x) (*.f64 (neg.f64 x) y))
#s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))
#s(approx (- 1/2 y) (neg.f64 y))
#s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y))
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (neg.f64 x))
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) (neg.f64 x)))
#s(approx (- (/ (+ (* 1/8 x) 1/2) y) 1) #s(literal -1 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (-.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y)) (neg.f64 x))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y)) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) x)))
#s(approx (* (- 1/2 y) x) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) x)))
#s(approx (- 1/2 y) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))
#s(approx (+ (* (- (/ (+ (* 1/8 x) 1/2) y) 1) x) (/ (log 2) y)) (+.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 x) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) y)) (neg.f64 x)))

eval39.0ms (1.3%)

Memory: -1.6MiB live, 43.1MiB allocated; 7ms collecting garbage
Compiler: Compiled 3 023 to 1 247 computations (58.7% saved)

prune11.0ms (0.3%)

Memory

19.7MiB live, 19.6MiB allocated; 0ms collecting garbage

Pruning

14 alts after pruning (2 fresh and 12 done)

	Pruned	Kept	Total
New	206	2	208
Fresh	0	0	0
Picked	0	5	5
Done	0	7	7
Total	206	14	220

Accuracy

99.7%

Counts

220 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	89.0%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
✓	49.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
✓	79.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
✓	89.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
✓	89.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x) y))
✓	53.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
✓	49.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(approx (- (/ (log (- (exp x) -1)) y) x) (fma.f64 #s(approx (- (/ (+ ( 1/8 x) 1/2) y) 1) (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y))
✓	47.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
	46.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
✓	47.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
✓	48.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))))
✓	34.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
	3.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))

Compiler

Compiled 391 to 328 computations (16.1% saved)

regimes57.0ms (1.9%)

Memory

-27.7MiB live, 19.1MiB allocated; 4ms collecting garbage

Counts

19 → 1

Calls

Call 1

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

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

Calls

3 calls:

45.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
5.0ms	y
5.0ms	x

Results

Accuracy	Segments	Branch
99.2%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
99.2%	1	`x`
99.2%	1	`y`

Compiler

Compiled 10 to 12 computations (-20% saved)

regimes14.0ms (0.5%)

Memory

25.1MiB live, 25.1MiB allocated; 0ms collecting garbage

Counts

16 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	y
5.0ms	x
4.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
99.0%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
99.0%	1	`x`
99.0%	1	`y`

Compiler

Compiled 10 to 12 computations (-20% saved)

regimes27.0ms (0.9%)

Memory

-22.9MiB live, 23.5MiB allocated; 2ms collecting garbage

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

18.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
98.4%	2	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
99.3%	2	`x`
89.0%	1	`y`

Compiler

Compiled 10 to 12 computations (-20% saved)

regimes4.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.7%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.7%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.2%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

2.0ms	x
2.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
98.1%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
85.7%	2	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB allocated; 0ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

Outputs

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

#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 x) y))

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
97.7%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes5.0ms (0.2%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
53.9%	1	`x`
53.9%	1	`y`
53.9%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 10 to 12 computations (-20% saved)

regimes3.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
3.8%	1	`x`
3.8%	1	`y`
3.8%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch51.0ms (1.7%)

Memory

-47.7MiB live, 9.2MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-182439.7709996617	-4086.625891178114

Samples

5.0ms

112×

valid

Compiler

Compiled 201 to 214 computations (-6.5% saved)

Precisions

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

ival-exp: 1.0ms (36.3% of total)

ival-log1p: 1.0ms (36.3% of total)

ival-mult!: 1.0ms (36.3% of total)

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

adjust: 0.0ms (0% of total)

bsearch12.0ms (0.4%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-31.000036482611044	-0.015003863803787097

Samples

7.0ms

128×

valid

Compiler

Compiled 212 to 227 computations (-7.1% saved)

Precisions

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

ival-exp: 1.0ms (26.6% of total)

ival-log1p: 1.0ms (26.6% of total)

ival-mult!: 1.0ms (26.6% of total)

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

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-182439.7709996617	-4086.625891178114

Compiler

Compiled 222 to 235 computations (-5.9% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-182439.7709996617	-4086.625891178114

Compiler

Compiled 159 to 172 computations (-8.2% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6931494672889199	248.32364005960468
0.0ms	0.14496915660731874	0.6931410709498147

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6931494672889199	248.32364005960468
0.0ms	0.14496915660731874	0.6931410709498147

Compiler

Compiled 11 to 13 computations (-18.2% saved)

derivations274.0ms (8.9%)

Memory

-49.3MiB live, 172.8MiB allocated; 132ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 105 to 68 computations (35.2% saved)

preprocess135.0ms (4.4%)

Memory: 3.2MiB live, 102.0MiB allocated; 14ms collecting garbage
Compiler: Compiled 134 to 94 computations (29.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze84.0ms (2.8%)

sample1.2s (37.7%)

preprocess38.0ms (1.2%)

series91.0ms (3%)

rewrite147.0ms (4.8%)

eval10.0ms (0.3%)

prune5.0ms (0.2%)

series83.0ms (2.7%)

rewrite170.0ms (5.6%)

eval24.0ms (0.8%)

prune12.0ms (0.4%)

series61.0ms (2%)

rewrite209.0ms (6.8%)

eval26.0ms (0.8%)

prune12.0ms (0.4%)

series113.0ms (3.7%)

rewrite172.0ms (5.6%)

eval39.0ms (1.3%)

prune11.0ms (0.3%)

regimes57.0ms (1.9%)

regimes14.0ms (0.5%)

regimes27.0ms (0.9%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes5.0ms (0.2%)

regimes2.0ms (0.1%)

regimes5.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch51.0ms (1.7%)

bsearch12.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations274.0ms (8.9%)

preprocess135.0ms (4.4%)

end0.0ms (0%)

Profiling