Metrics for Logistic regression 2

start0.0ms (0%)

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

analyze63.0ms (1.8%)

Memory

17.7MiB live, 64.2MiB allocated; 5ms 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)

sample1.1s (33.3%)

Memory

3.5MiB live, 865.5MiB allocated; 247ms collecting garbage

Samples

543.0ms	8 255×	0	valid
224.0ms	2 567×	1	exit
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 409.0ms

ival-log1p: 130.0ms (31.8% of total)

ival-exp: 109.0ms (26.7% of total)

ival-mult!: 62.0ms (15.2% of total)

ival-sub!: 61.0ms (14.9% of total)

adjust: 47.0ms (11.5% of total)

Bogosity

preprocess60.0ms (1.7%)

Memory

-20.8MiB live, 25.6MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	60
1	55	58
2	142	58
3	442	58
4	5620	58

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Compiler

Compiled 18 to 16 computations (11.1% saved)

series74.0ms (2.2%)

Memory

5.1MiB live, 49.7MiB allocated; 5ms collecting garbage

Counts

8 → 27

Calls

Call 1

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

Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #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) (* 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))) (* -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
27.0ms	x	@	inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
21.0ms	x	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
19.0ms	y	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
4.0ms	y	@	0	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
1.0ms	y	@	inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)

rewrite155.0ms (4.5%)

Memory

21.2MiB live, 88.9MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	410
0	107	401
1	561	399
0	4785	333

Stop Event

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

Counts

35 → 88

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

eval16.0ms (0.5%)

Memory: -36.7MiB live, 11.2MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 422 to 323 computations (77.3% saved)

prune5.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	75	7	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	7	83

Accuracy

99.7%

Counts

83 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))
▶	90.4%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
	79.2%	(-.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) (*.f64 x y))
	73.8%	#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))))
▶	79.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
▶	49.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
▶	51.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 196 to 166 computations (15.3% saved)

series32.0ms (0.9%)

Memory

-6.0MiB live, 40.9MiB allocated; 2ms collecting garbage

Counts

22 → 39

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	((- (log (- (exp x) -1)) (* y x)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) x -1 (* y x) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2)
8.0ms	x	@	inf	((- (log (- (exp x) -1)) (* y x)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) x -1 (* y x) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2)
4.0ms	y	@	inf	((- (log (- (exp x) -1)) (* y x)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) x -1 (* y x) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2)
4.0ms	x	@	0	((- (log (- (exp x) -1)) (* y x)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) x -1 (* y x) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2)
3.0ms	y	@	0	((- (log (- (exp x) -1)) (* y x)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) x -1 (* y x) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2)

rewrite207.0ms (6%)

Memory

42.1MiB live, 134.3MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	673
0	180	640
1	897	635
0	7723	563

Stop Event

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

Counts

61 → 190

Calls

Call 1

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

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

eval23.0ms (0.7%)

Memory: -24.3MiB live, 21.9MiB allocated; 3ms collecting garbage
Compiler: Compiled 3 635 to 644 computations (82.3% saved)

prune9.0ms (0.3%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	163	6	169
Fresh	2	0	2
Picked	0	5	5
Done	0	0	0
Total	165	11	176

Accuracy

99.7%

Counts

176 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.4%	(fma.f64 (neg.f64 y) x (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))
✓	98.5%	(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))
✓	90.4%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
▶	79.2%	(-.f64 #s(approx (log (- (exp x) -1)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) (*.f64 y x))
	73.8%	#s(approx (- (log (- (exp x) -1)) (* y x)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
✓	79.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
▶	52.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
✓	49.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
✓	51.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
▶	79.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #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)))
▶	30.2%	#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 299 to 248 computations (17.1% saved)

series95.0ms (2.7%)

Memory

-2.2MiB live, 89.5MiB allocated; 6ms collecting garbage

Counts

27 → 58

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
42.0ms	x	@	inf	((+ (* (neg y) x) (log (- (exp x) -1))) (neg y) y x (log (- (exp x) -1)) (- (exp x) -1) 2 (- (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 y) (log 2) (- (log (- (exp x) -1)) (* y x)) (log (- (exp x) -1)) (+ (* 1/2 x) (log 2)) (* y x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (- (/ (log 2) x) -1/2) y) x) (- (- (/ (log 2) x) -1/2) y) (- (/ (log 2) x) -1/2) (/ (log 2) x) -1/2)
29.0ms	x	@	-inf	((+ (* (neg y) x) (log (- (exp x) -1))) (neg y) y x (log (- (exp x) -1)) (- (exp x) -1) 2 (- (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 y) (log 2) (- (log (- (exp x) -1)) (* y x)) (log (- (exp x) -1)) (+ (* 1/2 x) (log 2)) (* y x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (- (/ (log 2) x) -1/2) y) x) (- (- (/ (log 2) x) -1/2) y) (- (/ (log 2) x) -1/2) (/ (log 2) x) -1/2)
12.0ms	x	@	0	((+ (* (neg y) x) (log (- (exp x) -1))) (neg y) y x (log (- (exp x) -1)) (- (exp x) -1) 2 (- (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 y) (log 2) (- (log (- (exp x) -1)) (* y x)) (log (- (exp x) -1)) (+ (* 1/2 x) (log 2)) (* y x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (- (/ (log 2) x) -1/2) y) x) (- (- (/ (log 2) x) -1/2) y) (- (/ (log 2) x) -1/2) (/ (log 2) x) -1/2)
4.0ms	y	@	0	((+ (* (neg y) x) (log (- (exp x) -1))) (neg y) y x (log (- (exp x) -1)) (- (exp x) -1) 2 (- (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 y) (log 2) (- (log (- (exp x) -1)) (* y x)) (log (- (exp x) -1)) (+ (* 1/2 x) (log 2)) (* y x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (- (/ (log 2) x) -1/2) y) x) (- (- (/ (log 2) x) -1/2) y) (- (/ (log 2) x) -1/2) (/ (log 2) x) -1/2)
3.0ms	y	@	-inf	((+ (* (neg y) x) (log (- (exp x) -1))) (neg y) y x (log (- (exp x) -1)) (- (exp x) -1) 2 (- (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 y) (log 2) (- (log (- (exp x) -1)) (* y x)) (log (- (exp x) -1)) (+ (* 1/2 x) (log 2)) (* y x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (- (/ (log 2) x) -1/2) y) x) (- (- (/ (log 2) x) -1/2) y) (- (/ (log 2) x) -1/2) (/ (log 2) x) -1/2)

rewrite176.0ms (5.1%)

Memory

7.7MiB live, 104.3MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	238	1249
0	264	1191
1	1417	1189
0	8123	1102

Stop Event

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

Counts

85 → 165

Calls

Call 1

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

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

eval25.0ms (0.7%)

Memory: -24.3MiB live, 21.9MiB allocated; 3ms collecting garbage
Compiler: Compiled 5 026 to 697 computations (86.1% saved)

prune6.0ms (0.2%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	0	1	1
Picked	0	5	5
Done	0	5	5
Total	142	12	154

Accuracy

99.7%

Counts

154 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.4%	(fma.f64 (neg.f64 y) x (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))
✓	98.5%	(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))
✓	90.4%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
✓	79.2%	(-.f64 #s(approx (log (- (exp x) -1)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) (*.f64 y x))
▶	73.8%	#s(approx (- (log (- (exp x) -1)) (* y x)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
✓	79.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
✓	52.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
✓	49.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
✓	51.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
▶	23.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 y y) y)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (fma.f64 y y (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y)))) x)))
✓	79.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #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)))
✓	30.2%	#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 241 to 182 computations (24.5% saved)

series88.0ms (2.5%)

Memory

-3.9MiB live, 138.8MiB allocated; 12ms collecting garbage

Counts

25 → 130

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 y y) y)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (fma.f64 y y (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y)))) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 y y) y)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (fma.f64 y y (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y)))) x))
(.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 y y) y)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (fma.f64 y y (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y)))) x)
(/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 y y) y)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (fma.f64 y y (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y))))
(-.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 y y) y))
(pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 3 binary64))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64))
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
#s(literal -1/2 binary64)
#s(literal 3 binary64)
(.f64 (.f64 y y) y)
(*.f64 y y)
y
(fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (fma.f64 y y (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y)))
(fma.f64 y y (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y))
(*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y)
#s(approx (- (log (- (exp x) -1)) (* y x)) (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)

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 (* (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) x) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (- (* 3/4 (/ 1 (log 2))) (+ (* 1/4 (/ 1 (log 2))) (+ (* 1/2 (/ y (log 2))) (+ (/ (* (+ (log 2) (* y (log 2))) (- 1/2 y)) (pow (log 2) 2)) (/ (pow y 2) (log 2)))))))) y)))))
#s(approx (* (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) x) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (- (+ (* 3/4 (/ 1 (log 2))) (* x (- (* 1/8 (/ 1 (pow (log 2) 2))) (+ (/ (* (+ 1/4 (+ (* 1/2 y) (pow y 2))) (- 1/2 y)) (pow (log 2) 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (- (* 3/4 (/ 1 (log 2))) (+ (* 1/4 (/ 1 (log 2))) (+ (* 1/2 (/ y (log 2))) (+ (/ (* (+ (log 2) (* y (log 2))) (- 1/2 y)) (pow (log 2) 2)) (/ (pow y 2) (log 2))))))) (pow (log 2) 2)) (/ (pow y 3) (pow (log 2) 2))))))) (+ (* 1/4 (/ 1 (log 2))) (+ (* 1/2 (/ y (log 2))) (+ (/ (* (+ (log 2) (* y (log 2))) (- 1/2 y)) (pow (log 2) 2)) (/ (pow y 2) (log 2)))))))) y)))))
#s(approx (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) #s(hole binary64 (/ (log 2) x)))
#s(approx (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) #s(hole binary64 (/ (+ (log 2) (* x (- 1/2 y))) x)))
#s(approx (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) #s(hole binary64 (/ (+ (log 2) (* x (- (+ 1/2 (* x (- (* 3/4 (/ 1 (log 2))) (+ (* 1/4 (/ 1 (log 2))) (+ (* 1/2 (/ y (log 2))) (+ (/ (* (+ (log 2) (* y (log 2))) (- 1/2 y)) (pow (log 2) 2)) (/ (pow y 2) (log 2)))))))) y))) x)))
#s(approx (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) #s(hole binary64 (/ (+ (log 2) (* x (- (+ 1/2 (* x (- (+ (* 3/4 (/ 1 (log 2))) (* x (- (* 1/8 (/ 1 (pow (log 2) 2))) (+ (/ (* (+ 1/4 (+ (* 1/2 y) (pow y 2))) (- 1/2 y)) (pow (log 2) 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (- (* 3/4 (/ 1 (log 2))) (+ (* 1/4 (/ 1 (log 2))) (+ (* 1/2 (/ y (log 2))) (+ (/ (* (+ (log 2) (* y (log 2))) (- 1/2 y)) (pow (log 2) 2)) (/ (pow y 2) (log 2))))))) (pow (log 2) 2)) (/ (pow y 3) (pow (log 2) 2))))))) (+ (* 1/4 (/ 1 (log 2))) (+ (* 1/2 (/ y (log 2))) (+ (/ (* (+ (log 2) (* y (log 2))) (- 1/2 y)) (pow (log 2) 2)) (/ (pow y 2) (log 2)))))))) y))) x)))
#s(approx (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) #s(hole binary64 (/ (pow (log 2) 3) (pow x 3))))
#s(approx (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 3)) (pow x 3))))
#s(approx (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (pow (log 2) 2)) (+ (* x (+ (* 1/4 (log 2)) (* 1/2 (log 2)))) (pow (log 2) 2)))) (pow (log 2) 3)) (pow x 3))))
#s(approx (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (pow (log 2) 2)) (+ (* x (+ (* 1/4 (log 2)) (+ (* 1/2 (log 2)) (* x (- 1/8 (pow y 3)))))) (pow (log 2) 2)))) (pow (log 2) 3)) (pow x 3))))
#s(approx (pow (- (/ (log 2) x) -1/2) 3) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (pow (log 2) 2)) (+ (* x (+ (* 1/8 x) (+ (* 1/4 (log 2)) (* 1/2 (log 2))))) (pow (log 2) 2)))) (pow (log 2) 3)) (pow x 3))))
#s(approx (- (/ (log 2) x) -1/2) #s(hole binary64 (/ (+ (log 2) (* 1/2 x)) x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y))) #s(hole binary64 (/ (pow (log 2) 2) (pow x 2))))
#s(approx (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y))) #s(hole binary64 (/ (+ (* x (+ (log 2) (* y (log 2)))) (pow (log 2) 2)) (pow x 2))))
#s(approx (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y))) #s(hole binary64 (/ (+ (* x (+ (log 2) (+ (* x (+ 1/4 (+ (* 1/2 y) (pow y 2)))) (* y (log 2))))) (pow (log 2) 2)) (pow x 2))))
#s(approx (+ (* y y) (* (- (/ (log 2) x) -1/2) y)) #s(hole binary64 (/ (* y (log 2)) x)))
#s(approx (+ (* y y) (* (- (/ (log 2) x) -1/2) y)) #s(hole binary64 (/ (+ (* x (+ (* 1/2 y) (pow y 2))) (* y (log 2))) x)))
#s(approx (* (- (/ (log 2) x) -1/2) y) #s(hole binary64 (/ (+ (* 1/2 (* x y)) (* y (log 2))) x)))
#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 (+ 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 (+ (* (- 1/2 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 (* (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) x) #s(hole binary64 (/ (* x (- 1/8 (pow y 3))) (+ 1/4 (+ (* 1/2 y) (pow y 2))))))
#s(approx (* (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) x) #s(hole binary64 (* x (- (+ (* 1/4 (/ (log 2) (* x (+ 1/4 (+ (* 1/2 y) (pow y 2)))))) (+ (* 1/2 (/ (log 2) (* x (+ 1/4 (+ (* 1/2 y) (pow y 2)))))) (* 1/8 (/ 1 (+ 1/4 (+ (* 1/2 y) (pow y 2))))))) (+ (/ (* (+ (log 2) (* y (log 2))) (- 1/8 (pow y 3))) (* x (pow (+ 1/4 (+ (* 1/2 y) (pow y 2))) 2))) (/ (pow y 3) (+ 1/4 (+ (* 1/2 y) (pow y 2)))))))))
#s(approx (* (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) x) #s(hole binary64 (* x (- (+ (* 1/4 (/ (log 2) (* x (+ 1/4 (+ (* 1/2 y) (pow y 2)))))) (+ (* 1/2 (/ (log 2) (* x (+ 1/4 (+ (* 1/2 y) (pow y 2)))))) (+ (* 1/2 (/ (pow (log 2) 2) (* (pow x 2) (+ 1/4 (+ (* 1/2 y) (pow y 2)))))) (+ (* 1/8 (/ 1 (+ 1/4 (+ (* 1/2 y) (pow y 2))))) (/ (pow (log 2) 2) (* (pow x 2) (+ 1/4 (+ (* 1/2 y) (pow y 2))))))))) (+ (/ (* (+ (log 2) (* y (log 2))) (- 1/8 (pow y 3))) (* x (pow (+ 1/4 (+ (* 1/2 y) (pow y 2))) 2))) (+ (/ (* (+ (log 2) (* y (log 2))) (- (+ (* 1/4 (/ (log 2) (+ 1/4 (+ (* 1/2 y) (pow y 2))))) (* 1/2 (/ (log 2) (+ 1/4 (+ (* 1/2 y) (pow y 2)))))) (/ (* (+ (log 2) (* y (log 2))) (- 1/8 (pow y 3))) (pow (+ 1/4 (+ (* 1/2 y) (pow y 2))) 2)))) (* (pow x 2) (+ 1/4 (+ (* 1/2 y) (pow y 2))))) (+ (/ (* (pow (log 2) 2) (- 1/8 (pow y 3))) (* (pow x 2) (pow (+ 1/4 (+ (* 1/2 y) (pow y 2))) 2))) (/ (pow y 3) (+ 1/4 (+ (* 1/2 y) (pow y 2)))))))))))
#s(approx (* (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) x) #s(hole binary64 (* x (- (+ (* 1/4 (/ (log 2) (* x (+ 1/4 (+ (* 1/2 y) (pow y 2)))))) (+ (* 1/2 (/ (log 2) (* x (+ 1/4 (+ (* 1/2 y) (pow y 2)))))) (+ (* 1/2 (/ (pow (log 2) 2) (* (pow x 2) (+ 1/4 (+ (* 1/2 y) (pow y 2)))))) (+ (* 1/8 (/ 1 (+ 1/4 (+ (* 1/2 y) (pow y 2))))) (+ (/ (pow (log 2) 2) (* (pow x 2) (+ 1/4 (+ (* 1/2 y) (pow y 2))))) (/ (pow (log 2) 3) (* (pow x 3) (+ 1/4 (+ (* 1/2 y) (pow y 2)))))))))) (+ (/ (* (+ (log 2) (* y (log 2))) (- 1/8 (pow y 3))) (* x (pow (+ 1/4 (+ (* 1/2 y) (pow y 2))) 2))) (+ (/ (* (+ (log 2) (* y (log 2))) (- (+ (* 1/4 (/ (log 2) (+ 1/4 (+ (* 1/2 y) (pow y 2))))) (* 1/2 (/ (log 2) (+ 1/4 (+ (* 1/2 y) (pow y 2)))))) (/ (* (+ (log 2) (* y (log 2))) (- 1/8 (pow y 3))) (pow (+ 1/4 (+ (* 1/2 y) (pow y 2))) 2)))) (* (pow x 2) (+ 1/4 (+ (* 1/2 y) (pow y 2))))) (+ (/ (* (+ (log 2) (* y (log 2))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ 1/4 (+ (* 1/2 y) (pow y 2))))) (/ (pow (log 2) 2) (+ 1/4 (+ (* 1/2 y) (pow y 2))))) (+ (/ (* (+ (log 2) (* y (log 2))) (- (+ (* 1/4 (/ (log 2) (+ 1/4 (+ (* 1/2 y) (pow y 2))))) (* 1/2 (/ (log 2) (+ 1/4 (+ (* 1/2 y) (pow y 2)))))) (/ (* (+ (log 2) (* y (log 2))) (- 1/8 (pow y 3))) (pow (+ 1/4 (+ (* 1/2 y) (pow y 2))) 2)))) (+ 1/4 (+ (* 1/2 y) (pow y 2)))) (/ (* (pow (log 2) 2) (- 1/8 (pow y 3))) (pow (+ 1/4 (+ (* 1/2 y) (pow y 2))) 2))))) (* (pow x 3) (+ 1/4 (+ (* 1/2 y) (pow y 2))))) (+ (/ (* (pow (log 2) 2) (- 1/8 (pow y 3))) (* (pow x 2) (pow (+ 1/4 (+ (* 1/2 y) (pow y 2))) 2))) (+ (/ (* (pow (log 2) 2) (- (+ (* 1/4 (/ (log 2) (+ 1/4 (+ (* 1/2 y) (pow y 2))))) (* 1/2 (/ (log 2) (+ 1/4 (+ (* 1/2 y) (pow y 2)))))) (/ (* (+ (log 2) (* y (log 2))) (- 1/8 (pow y 3))) (pow (+ 1/4 (+ (* 1/2 y) (pow y 2))) 2)))) (* (pow x 3) (+ 1/4 (+ (* 1/2 y) (pow y 2))))) (/ (pow y 3) (+ 1/4 (+ (* 1/2 y) (pow y 2)))))))))))))
#s(approx (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) #s(hole binary64 (/ (- 1/8 (pow y 3)) (+ 1/4 (+ (* 1/2 y) (pow y 2))))))
#s(approx (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) #s(hole binary64 (- (+ (* 1/4 (/ (log 2) (* x (+ 1/4 (+ (* 1/2 y) (pow y 2)))))) (+ (* 1/2 (/ (log 2) (* x (+ 1/4 (+ (* 1/2 y) (pow y 2)))))) (* 1/8 (/ 1 (+ 1/4 (+ (* 1/2 y) (pow y 2))))))) (+ (/ (* (+ (log 2) (* y (log 2))) (- 1/8 (pow y 3))) (* x (pow (+ 1/4 (+ (* 1/2 y) (pow y 2))) 2))) (/ (pow y 3) (+ 1/4 (+ (* 1/2 y) (pow y 2))))))))
#s(approx (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) #s(hole binary64 (- (+ (* 1/4 (/ (log 2) (* x (+ 1/4 (+ (* 1/2 y) (pow y 2)))))) (+ (* 1/2 (/ (log 2) (* x (+ 1/4 (+ (* 1/2 y) (pow y 2)))))) (+ (* 1/2 (/ (pow (log 2) 2) (* (pow x 2) (+ 1/4 (+ (* 1/2 y) (pow y 2)))))) (+ (* 1/8 (/ 1 (+ 1/4 (+ (* 1/2 y) (pow y 2))))) (/ (pow (log 2) 2) (* (pow x 2) (+ 1/4 (+ (* 1/2 y) (pow y 2))))))))) (+ (/ (* (+ (log 2) (* y (log 2))) (- 1/8 (pow y 3))) (* x (pow (+ 1/4 (+ (* 1/2 y) (pow y 2))) 2))) (+ (/ (* (+ (log 2) (* y (log 2))) (- (+ (* 1/4 (/ (log 2) (+ 1/4 (+ (* 1/2 y) (pow y 2))))) (* 1/2 (/ (log 2) (+ 1/4 (+ (* 1/2 y) (pow y 2)))))) (/ (* (+ (log 2) (* y (log 2))) (- 1/8 (pow y 3))) (pow (+ 1/4 (+ (* 1/2 y) (pow y 2))) 2)))) (* (pow x 2) (+ 1/4 (+ (* 1/2 y) (pow y 2))))) (+ (/ (* (pow (log 2) 2) (- 1/8 (pow y 3))) (* (pow x 2) (pow (+ 1/4 (+ (* 1/2 y) (pow y 2))) 2))) (/ (pow y 3) (+ 1/4 (+ (* 1/2 y) (pow y 2))))))))))
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#s(approx (* (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) x) #s(hole binary64 (+ (* x (+ 1/2 (/ (log 2) x))) (* y (- (* y (- (/ (* y (+ (* -1 (/ x (+ 1/2 (/ (log 2) x)))) (/ x (+ 1/2 (/ (log 2) x))))) (+ 1/2 (/ (log 2) x))) (+ (* -1 (/ x (+ 1/2 (/ (log 2) x)))) (/ x (+ 1/2 (/ (log 2) x)))))) x)))))
#s(approx (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) #s(hole binary64 (+ 1/2 (+ (* -1 y) (/ (log 2) x)))))
#s(approx (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) #s(hole binary64 (pow (+ 1/2 (/ (log 2) x)) 3)))
#s(approx (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) #s(hole binary64 (+ (* -1 (pow y 3)) (pow (+ 1/2 (/ (log 2) x)) 3))))
#s(approx (* (* y y) y) #s(hole binary64 (pow y 3)))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y))) #s(hole binary64 (pow (+ 1/2 (/ (log 2) x)) 2)))
#s(approx (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y))) #s(hole binary64 (+ (* y (+ 1/2 (/ (log 2) x))) (pow (+ 1/2 (/ (log 2) x)) 2))))
#s(approx (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y))) #s(hole binary64 (+ (* y (+ 1/2 (+ y (/ (log 2) x)))) (pow (+ 1/2 (/ (log 2) x)) 2))))
#s(approx (+ (* y y) (* (- (/ (log 2) x) -1/2) y)) #s(hole binary64 (* y (+ 1/2 (/ (log 2) x)))))
#s(approx (+ (* y y) (* (- (/ (log 2) x) -1/2) y)) #s(hole binary64 (* y (+ 1/2 (+ y (/ (log 2) x))))))
#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 (* -1 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))))
#s(approx (* (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) x) #s(hole binary64 (* y (+ (* -1 x) (/ (* x (+ 1/2 (/ (log 2) x))) y)))))
#s(approx (* (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) x) #s(hole binary64 (* y (- (+ (* -1 x) (* -1 (/ (+ (* -1 (* x (pow (+ 1/2 (/ (log 2) x)) 2))) (* x (pow (+ 1/2 (/ (log 2) x)) 2))) (pow y 2)))) (* -1 (/ (* x (+ 1/2 (/ (log 2) x))) y))))))
#s(approx (* (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) x) #s(hole binary64 (* y (- (+ (* -1 x) (/ (* (+ 1/2 (/ (log 2) x)) (+ (* -1 (* x (pow (+ 1/2 (/ (log 2) x)) 2))) (* x (pow (+ 1/2 (/ (log 2) x)) 2)))) (pow y 3))) (+ (* -1 (/ (* x (+ 1/2 (/ (log 2) x))) y)) (+ (* -1 (/ (* x (pow (+ 1/2 (/ (log 2) x)) 2)) (pow y 2))) (/ (* x (pow (+ 1/2 (/ (log 2) x)) 2)) (pow y 2))))))))
#s(approx (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) #s(hole binary64 (* -1 y)))
#s(approx (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) #s(hole binary64 (* y (- (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y))) 1))))
#s(approx (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) #s(hole binary64 (* y (- (* -1 (/ (+ (* -1 (pow (+ 1/2 (/ (log 2) x)) 2)) (pow (+ 1/2 (/ (log 2) x)) 2)) (pow y 2))) (+ 1 (* -1 (/ (+ 1/2 (/ (log 2) x)) y)))))))
#s(approx (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) #s(hole binary64 (* y (- (/ (* (+ 1/2 (/ (log 2) x)) (+ (* -1 (pow (+ 1/2 (/ (log 2) x)) 2)) (pow (+ 1/2 (/ (log 2) x)) 2))) (pow y 3)) (+ 1 (+ (* -1 (/ (+ 1/2 (/ (log 2) x)) y)) (+ (* -1 (/ (pow (+ 1/2 (/ (log 2) x)) 2) (pow y 2))) (/ (pow (+ 1/2 (/ (log 2) x)) 2) (pow y 2)))))))))
#s(approx (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) #s(hole binary64 (* -1 (pow y 3))))
#s(approx (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) #s(hole binary64 (* (pow y 3) (- (/ (pow (+ 1/2 (/ (log 2) x)) 3) (pow y 3)) 1))))
#s(approx (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y))) #s(hole binary64 (* (pow y 2) (+ 1 (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y)))))))
#s(approx (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y))) #s(hole binary64 (* (pow y 2) (+ 1 (+ (* 1/2 (/ 1 y)) (+ (/ (log 2) (* x y)) (/ (pow (+ 1/2 (/ (log 2) x)) 2) (pow y 2))))))))
#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 (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))))
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))))
#s(approx (* (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) x) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (/ (log 2) x))) y)))))))
#s(approx (* (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) x) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (+ (* -1 (/ (* x (pow (+ 1/2 (/ (log 2) x)) 2)) y)) (/ (* x (pow (+ 1/2 (/ (log 2) x)) 2)) y)) (* -1 (* x (+ 1/2 (/ (log 2) x))))) y)))))))
#s(approx (* (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) x) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1/2 (/ (log 2) x)) (+ (* -1 (* x (pow (+ 1/2 (/ (log 2) x)) 2))) (* x (pow (+ 1/2 (/ (log 2) x)) 2)))) y) (+ (* -1 (* x (pow (+ 1/2 (/ (log 2) x)) 2))) (* x (pow (+ 1/2 (/ (log 2) x)) 2)))) y)) (* -1 (* x (+ 1/2 (/ (log 2) x))))) y)))))))
#s(approx (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (/ (log 2) x)) y)))))))
#s(approx (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ 1/2 (/ (log 2) x)) 2) y)) (/ (pow (+ 1/2 (/ (log 2) x)) 2) y)) (* -1 (+ 1/2 (/ (log 2) x)))) y)))))))
#s(approx (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1/2 (/ (log 2) x)) (+ (* -1 (pow (+ 1/2 (/ (log 2) x)) 2)) (pow (+ 1/2 (/ (log 2) x)) 2))) y) (+ (* -1 (pow (+ 1/2 (/ (log 2) x)) 2)) (pow (+ 1/2 (/ (log 2) x)) 2))) y)) (* -1 (+ 1/2 (/ (log 2) x)))) y)))))))
#s(approx (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) #s(hole binary64 (* -1 (* (pow y 3) (+ 1 (* -1 (/ (pow (+ 1/2 (/ (log 2) x)) 3) (pow y 3))))))))
#s(approx (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y))) #s(hole binary64 (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ 1/2 (/ (log 2) x))) (* -1 (/ (pow (+ 1/2 (/ (log 2) x)) 2) y))) y))))))
#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)))))))

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	y	@	0	((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) x) (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (pow (- (/ (log 2) x) -1/2) 3) (- (/ (log 2) x) -1/2) (/ (log 2) x) (log 2) 2 x -1/2 3 (* (* y y) y) (* y y) y (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y))) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)) (* (- (/ (log 2) x) -1/2) y) (- (log (- (exp x) -1)) (* y x)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) 1/2)
15.0ms	x	@	inf	((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) x) (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (pow (- (/ (log 2) x) -1/2) 3) (- (/ (log 2) x) -1/2) (/ (log 2) x) (log 2) 2 x -1/2 3 (* (* y y) y) (* y y) y (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y))) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)) (* (- (/ (log 2) x) -1/2) y) (- (log (- (exp x) -1)) (* y x)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) 1/2)
15.0ms	x	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) x) (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (pow (- (/ (log 2) x) -1/2) 3) (- (/ (log 2) x) -1/2) (/ (log 2) x) (log 2) 2 x -1/2 3 (* (* y y) y) (* y y) y (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y))) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)) (* (- (/ (log 2) x) -1/2) y) (- (log (- (exp x) -1)) (* y x)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) 1/2)
13.0ms	y	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) x) (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (pow (- (/ (log 2) x) -1/2) 3) (- (/ (log 2) x) -1/2) (/ (log 2) x) (log 2) 2 x -1/2 3 (* (* y y) y) (* y y) y (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y))) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)) (* (- (/ (log 2) x) -1/2) y) (- (log (- (exp x) -1)) (* y x)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) 1/2)
11.0ms	y	@	inf	((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) x) (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (pow (- (/ (log 2) x) -1/2) 3) (- (/ (log 2) x) -1/2) (/ (log 2) x) (log 2) 2 x -1/2 3 (* (* y y) y) (* y y) y (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y))) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)) (* (- (/ (log 2) x) -1/2) y) (- (log (- (exp x) -1)) (* y x)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) 1/2)

rewrite228.0ms (6.6%)

Memory

36.4MiB live, 219.5MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	744	8830
0	779	7186
1	5281	7177
0	9018	6781

Stop Event

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

Counts

155 → 242

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 y y) y)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (fma.f64 y y (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y)))) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 y y) y)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (fma.f64 y y (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y)))) x))
(.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 y y) y)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (fma.f64 y y (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y)))) x)
(/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 y y) y)) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (fma.f64 y y (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y))))
(-.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 y y) y))
(pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 3 binary64))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64))
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
#s(literal -1/2 binary64)
#s(literal 3 binary64)
(.f64 (.f64 y y) y)
(*.f64 y y)
y
(fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (fma.f64 y y (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y)))
(fma.f64 y y (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y))
(*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y)
#s(approx (- (log (- (exp x) -1)) (* y x)) (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)
#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)))))
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#s(approx (* (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) x) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1/2 (/ (log 2) x)) (+ (* -1 (* x (pow (+ 1/2 (/ (log 2) x)) 2))) (* x (pow (+ 1/2 (/ (log 2) x)) 2)))) y) (+ (* -1 (* x (pow (+ 1/2 (/ (log 2) x)) 2))) (* x (pow (+ 1/2 (/ (log 2) x)) 2)))) y)) (* -1 (* x (+ 1/2 (/ (log 2) x))))) y)))))))
#s(approx (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (/ (log 2) x)) y)))))))
#s(approx (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ 1/2 (/ (log 2) x)) 2) y)) (/ (pow (+ 1/2 (/ (log 2) x)) 2) y)) (* -1 (+ 1/2 (/ (log 2) x)))) y)))))))
#s(approx (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1/2 (/ (log 2) x)) (+ (* -1 (pow (+ 1/2 (/ (log 2) x)) 2)) (pow (+ 1/2 (/ (log 2) x)) 2))) y) (+ (* -1 (pow (+ 1/2 (/ (log 2) x)) 2)) (pow (+ 1/2 (/ (log 2) x)) 2))) y)) (* -1 (+ 1/2 (/ (log 2) x)))) y)))))))
#s(approx (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) #s(hole binary64 (* -1 (* (pow y 3) (+ 1 (* -1 (/ (pow (+ 1/2 (/ (log 2) x)) 3) (pow y 3))))))))
#s(approx (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y))) #s(hole binary64 (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ 1/2 (/ (log 2) x))) (* -1 (/ (pow (+ 1/2 (/ (log 2) x)) 2) y))) y))))))
#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)))))))

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

eval29.0ms (0.8%)

Memory: 2.6MiB live, 48.2MiB allocated; 4ms collecting garbage
Compiler: Compiled 16 894 to 1 639 computations (90.3% saved)

prune10.0ms (0.3%)

Memory

-30.4MiB live, 16.1MiB allocated; 3ms collecting garbage

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	219	4	223
Fresh	0	0	0
Picked	2	0	2
Done	2	8	10
Total	223	12	235

Accuracy

99.7%

Counts

235 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.4%	(fma.f64 (neg.f64 y) x (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))
✓	98.5%	(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))
✓	90.4%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
	55.2%	#s(approx (- (log (- (exp x) -1)) (* y x)) (fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
✓	79.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
✓	52.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
✓	49.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
	52.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
✓	51.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
	10.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 y y) y)) #s(approx (+ ( (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y))) (+.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 y y)) #s(literal 1/4 binary64)))) x)))
✓	30.2%	#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)))
	51.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (/ (- (pow (- (/ (log 2) x) -1/2) 3) (* (* y y) y)) (+ (* (- (/ (log 2) x) -1/2) (- (/ (log 2) x) -1/2)) (+ (* y y) (* (- (/ (log 2) x) -1/2) y)))) x) (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) x))))

Compiler

Compiled 300 to 211 computations (29.7% saved)

regimes772.0ms (22.3%)

Memory

-100.0MiB live, 345.0MiB allocated; 1.1s collecting garbage

Accuracy

Total -12.9b remaining (-33.5%)

Threshold costs -12.9b (-33.5%)

Counts

2 → 1

3 → 3

4 → 3

5 → 2

6 → 2

12 → 2

15 → 2

19 → 1

Calls

Call 1

Inputs
#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))

Call 2

Inputs

#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)))

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))

Call 3

Inputs
#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)) (fma.f64 #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 #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)) (*.f64 (neg.f64 x) y))

Call 4

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

Call 5

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

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

Call 6

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

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))))

Call 7

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

Call 8

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

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

Calls

15 calls:

715.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
7.0ms	x
5.0ms	x
5.0ms	y
4.0ms	y

Results

Accuracy	Segments	Branch
49.9%	1	`x`
49.9%	1	`y`
49.9%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
97.9%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
98.4%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
87.5%	3	`x`
98.6%	2	`x`
98.6%	2	`x`
99.1%	2	`x`
98.1%	2	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
90.4%	1	`y`
99.1%	2	`x`
98.5%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
98.5%	1	`y`
98.5%	1	`x`

Compiler

Compiled 523 to 179 computations (65.8% saved)

bsearch9.0ms (0.3%)

Memory

30.1MiB live, 30.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	-147683873.997212	-24313824.481929336

Samples

4.0ms

96×

valid

Compiler

Compiled 216 to 185 computations (14.4% saved)

Precisions

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

ival-exp: 1.0ms (41.3% of total)

ival-log1p: 1.0ms (41.3% of total)

ival-mult!: 1.0ms (41.3% of total)

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

adjust: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

-43.5MiB live, 3.8MiB allocated; 1ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-147683873.997212	-24313824.481929336

Compiler

Compiled 198 to 173 computations (12.6% saved)

bsearch1.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-147683873.997212	-24313824.481929336

Compiler

Compiled 162 to 149 computations (8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-147683873.997212	-24313824.481929336

Compiler

Compiled 162 to 149 computations (8% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	403.6556144754274	4945.142074817172
0.0ms	2.6398520848929505e-24	0.5590436810222913

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	403.6556144754274	4945.142074817172
0.0ms	2.6398520848929505e-24	0.5590436810222913

Compiler

Compiled 12 to 13 computations (-8.3% saved)

derivations145.0ms (4.2%)

Memory

15.0MiB live, 204.9MiB allocated; 8ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 289 to 61 computations (78.9% saved)

preprocess74.0ms (2.1%)

Memory: 20.3MiB live, 159.0MiB allocated; 27ms collecting garbage
Compiler: Compiled 324 to 87 computations (73.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze63.0ms (1.8%)

sample1.1s (33.3%)

preprocess60.0ms (1.7%)

series74.0ms (2.2%)

rewrite155.0ms (4.5%)

eval16.0ms (0.5%)

prune5.0ms (0.1%)

series32.0ms (0.9%)

rewrite207.0ms (6%)

eval23.0ms (0.7%)

prune9.0ms (0.3%)

series95.0ms (2.7%)

rewrite176.0ms (5.1%)

eval25.0ms (0.7%)

prune6.0ms (0.2%)

series88.0ms (2.5%)

rewrite228.0ms (6.6%)

eval29.0ms (0.8%)

prune10.0ms (0.3%)

regimes772.0ms (22.3%)

bsearch9.0ms (0.3%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations145.0ms (4.2%)

preprocess74.0ms (2.1%)

end0.0ms (0%)

Profiling