Metrics for Logistic regression 2

start0.0ms (0%)

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

analyze77.0ms (2.8%)

Memory

-20.1MiB live, 73.4MiB allocated; 25ms 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 (39%)

Memory

55.5MiB live, 1 131.2MiB allocated; 240ms collecting garbage

Samples

463.0ms	8 256×	0	valid
212.0ms	2 624×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 369.0ms

ival-log1p: 122.0ms (33.1% of total)

ival-exp: 109.0ms (29.6% of total)

ival-mult!: 67.0ms (18.2% of total)

adjust: 49.0ms (13.3% of total)

ival-sub!: 23.0ms (6.2% of total)

Bogosity

preprocess61.0ms (2.2%)

Memory

-25.8MiB live, 18.7MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	60
1	55	58
2	142	58
3	442	58
4	5624	58

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Compiler

Compiled 16 to 16 computations (0% saved)

series99.0ms (3.6%)

Memory

39.5MiB live, 84.1MiB allocated; 8ms collecting garbage

Counts

8 → 29

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
72.0ms	x	@	inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
20.0ms	x	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
3.0ms	y	@	0	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
2.0ms	y	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
1.0ms	y	@	inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)

rewrite157.0ms (5.7%)

Memory

-8.4MiB live, 87.7MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	433
0	109	424
1	563	422
0	4810	350

Stop Event

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

Counts

37 → 90

Calls

Call 1

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

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

eval8.0ms (0.3%)

Memory: 15.5MiB live, 15.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 752 to 326 computations (56.6% saved)

prune15.0ms (0.5%)

Memory

-37.3MiB live, 9.3MiB allocated; 2ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

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

Accuracy

100.0%

Counts

85 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	66.7%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 x y))
▶	90.7%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
	74.6%	#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))))
	83.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
▶	50.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
▶	51.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
	50.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 184 to 184 computations (0% saved)

series25.0ms (0.9%)

Memory

5.9MiB live, 50.2MiB allocated; 6ms collecting garbage

Counts

21 → 45

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) x (* x y) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (+ 2 x) (- (log (+ 1 (exp x))) (* x y)) (log (- (exp x) -1)) (- (exp x) -1) -1)
7.0ms	x	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) x (* x y) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (+ 2 x) (- (log (+ 1 (exp x))) (* x y)) (log (- (exp x) -1)) (- (exp x) -1) -1)
5.0ms	y	@	inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) x (* x y) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (+ 2 x) (- (log (+ 1 (exp x))) (* x y)) (log (- (exp x) -1)) (- (exp x) -1) -1)
2.0ms	y	@	0	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) x (* x y) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (+ 2 x) (- (log (+ 1 (exp x))) (* x y)) (log (- (exp x) -1)) (- (exp x) -1) -1)
2.0ms	y	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) x (* x y) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (+ 2 x) (- (log (+ 1 (exp x))) (* x y)) (log (- (exp x) -1)) (- (exp x) -1) -1)

rewrite163.0ms (5.9%)

Memory

33.6MiB live, 170.1MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	645
0	155	619
1	671	614
0	5579	580

Stop Event

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

Counts

66 → 191

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
(*.f64 x y)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 x y))
(log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x)))
#s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))
(+.f64 #s(literal 2 binary64) x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (* (neg x) y) #s(hole binary64 (* -1 (* x y))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ 1 (exp x)) #s(hole binary64 2))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 x)))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ 2 x) #s(hole binary64 2))
#s(approx (+ 2 x) #s(hole binary64 (+ 2 x)))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (log 2)))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (- (exp x) -1) #s(hole binary64 2))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x))))
#s(approx (+ 2 x) #s(hole binary64 x))
#s(approx (+ 2 x) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 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 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx y #s(hole binary64 y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))

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

eval19.0ms (0.7%)

Memory: -9.0MiB live, 36.2MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 773 to 627 computations (64.6% saved)

prune9.0ms (0.3%)

Memory

19.3MiB live, 19.3MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	189	5	194
Fresh	0	3	3
Picked	1	4	5
Done	0	0	0
Total	190	12	202

Accuracy

100.0%

Counts

202 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.7%	(fma.f64 (neg.f64 y) x (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	66.7%	(-.f64 (log1p.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) (*.f64 x y))
	66.7%	(-.f64 (log.f64 #s(approx (- (exp x) -1) (-.f64 x #s(literal -2 binary64)))) (*.f64 y x))
✓	90.7%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
	74.6%	#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))))
▶	83.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
✓	50.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
▶	51.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
✓	51.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
	49.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
▶	50.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 240 to 238 computations (0.8% saved)

series108.0ms (3.9%)

Memory

-16.8MiB live, 136.0MiB allocated; 48ms collecting garbage

Counts

25 → 89

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

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)))
#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)))
#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) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (log 2)))
#s(approx (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 2))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 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 (* -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 (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#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 (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (log (/ (- (exp (neg (* -2 x))) 1) (- (exp x) 1)))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (neg (* -2 x))) 1) (- (exp x) 1))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (neg (* -2 x))) 1)))
#s(approx (+ (* (neg y) x) (log (- (exp x) -1))) #s(hole binary64 (log (+ 1 (exp x)))))
#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 (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))))
#s(approx (- 1/2 y) #s(hole binary64 1/2))
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y))))
#s(approx (+ (* (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 (* -1 (* x y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))))
#s(approx (- 1/2 y) #s(hole binary64 (* -1 y)))
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1))))
#s(approx (+ (* (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) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))))

Calls

6 calls:

Time	Variable		Point	Expression
66.0ms	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)) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (- x -1) -1 (* x y) (- (log (+ 1 (exp x))) (* x y)) (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (- (exp (+ x x)) 1) (+ x x) (- (exp x) 1))
25.0ms	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)) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (- x -1) -1 (* x y) (- (log (+ 1 (exp x))) (* x y)) (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (- (exp (+ x x)) 1) (+ x x) (- (exp x) 1))
7.0ms	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)) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (- x -1) -1 (* x y) (- (log (+ 1 (exp x))) (* x y)) (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (- (exp (+ x x)) 1) (+ x x) (- (exp x) 1))
3.0ms	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)) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (- x -1) -1 (* x y) (- (log (+ 1 (exp x))) (* x y)) (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (- (exp (+ x x)) 1) (+ x x) (- (exp x) 1))
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)) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (- x -1) -1 (* x y) (- (log (+ 1 (exp x))) (* x y)) (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (- (exp (+ x x)) 1) (+ x x) (- (exp x) 1))

rewrite155.0ms (5.6%)

Memory

17.1MiB live, 153.8MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	279	1462
0	301	1383
1	1534	1344
0	8086	1186

Stop Event

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

Counts

114 → 222

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)) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(-.f64 (log1p.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) (*.f64 x y))
(log1p.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 x y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(expm1.f64 (+.f64 x x))
(+.f64 x x)
(expm1.f64 x)
#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)))
#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)))
#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) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (log 2)))
#s(approx (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 2))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 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 (* -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 (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (log (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#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 (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (log (/ (- (exp (neg (* -2 x))) 1) (- (exp x) 1)))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (neg (* -2 x))) 1) (- (exp x) 1))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (neg (* -2 x))) 1)))
#s(approx (+ (* (neg y) x) (log (- (exp x) -1))) #s(hole binary64 (log (+ 1 (exp x)))))
#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 (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))))
#s(approx (- 1/2 y) #s(hole binary64 1/2))
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y))))
#s(approx (+ (* (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 (* -1 (* x y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))))
#s(approx (- 1/2 y) #s(hole binary64 (* -1 y)))
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1))))
#s(approx (+ (* (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) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 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 x y) (.f64 x y))) (-.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 x y) (.f64 x y)) (.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))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (neg.f64 y) x) (pow.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x y) (.f64 x y) (-.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 x y) (.f64 x y)) (.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 (fma.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (neg.f64 y) x) (pow.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 x y) (.f64 x y) (-.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)))))))
(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))))
(fma.f64 x (neg.f64 y) (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x y) (.f64 x y)) (-.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 (neg.f64 x) (.f64 x x)) (.f64 (.f64 y y) y)) (fma.f64 (.f64 x y) (.f64 x y) (-.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 x y) (.f64 x y) (-.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)) (log.f64 #s(literal 2 binary64)))
(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))))
(/.f64 (-.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y)) (.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y)))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (fma.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y)) (.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y)) (.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (neg.f64 (-.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 (-.f64 #s(literal 1/2 binary64) y) x)))) (neg.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))))) (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (.f64 (log.f64 #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) y) x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 (-.f64 #s(literal 1/2 binary64) y) x) (-.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) 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 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 (-.f64 #s(literal 1/2 binary64) y) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) (-.f64 (*.f64 (-.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 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (.f64 (log.f64 #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.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 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 (-.f64 #s(literal 1/2 binary64) y) x) (-.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (.f64 (.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)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) y) x))) (/.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) y) x))))
(-.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) 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 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (.f64 (log.f64 #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) y) x))))) (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))))))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 (-.f64 #s(literal 1/2 binary64) y) x) (-.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 (-.f64 #s(literal 1/2 binary64) y) x) (-.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))))))
(+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(/.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)
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (neg.f64 x) (.f64 x x)) (.f64 (.f64 y y) y))) (fma.f64 (log.f64 (+.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (log.f64 (+.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (log.f64 (+.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (neg.f64 y) x)))))
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#s(approx (+ (* (neg y) x) (log (- (exp x) -1))) (*.f64 (neg.f64 y) x))
#s(approx (+ (* (neg y) x) (log (- (exp x) -1))) (*.f64 (+.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) (neg.f64 y)) x))
#s(approx (log (- (exp x) -1)) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
#s(approx (- (exp x) -1) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) 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 (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
#s(approx (exp x) (exp.f64 x))
#s(approx (- x -1) x)
#s(approx (- x -1) (fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)))
#s(approx (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (+.f64 x x)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (+ (* (neg y) x) (log (- (exp x) -1))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) x)) (neg.f64 y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 x) (+.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) x) (neg.f64 (-.f64 #s(literal 1/2 binary64) y)))))
#s(approx (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (+.f64 x x)))
#s(approx (+ (* (neg y) x) (log (- (exp x) -1))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
#s(approx (+ (* (neg y) x) (log (- (exp x) -1))) (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)))
#s(approx (neg y) (neg.f64 y))
#s(approx y y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (+.f64 (neg.f64 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(approx (- 1/2 y) (+.f64 (neg.f64 y) #s(literal 1/2 binary64)))
#s(approx (+ (* (neg y) x) (log (- (exp x) -1))) (*.f64 (+.f64 (neg.f64 x) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) y)) y))
#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 (neg.f64 y) x))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (+.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) y))
#s(approx (- 1/2 y) (neg.f64 y))
#s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y))
#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) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))

eval52.0ms (1.9%)

Memory: -12.4MiB live, 33.4MiB allocated; 2ms collecting garbage
Compiler: Compiled 2 423 to 876 computations (63.8% saved)

prune9.0ms (0.3%)

Memory

16.2MiB live, 16.2MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	188	5	193
Fresh	2	1	3
Picked	2	3	5
Done	1	3	4
Total	193	12	205

Accuracy

100.0%

Counts

205 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.7%	(fma.f64 (neg.f64 y) x (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))
✓	66.7%	(-.f64 (log1p.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) (*.f64 x y))
✓	90.7%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
▶	74.6%	#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))))
▶	51.1%	#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))))
✓	50.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
	51.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
✓	51.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
▶	51.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))))
▶	49.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x))))
✓	50.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
▶	35.9%	#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 270 to 266 computations (1.5% saved)

series41.0ms (1.5%)

Memory

-23.7MiB live, 64.8MiB allocated; 9ms collecting garbage

Counts

26 → 82

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	x	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 x (- 1/2 y) 1/2 y (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- (log (+ 1 (exp x))) (* x y)) (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+ 2 x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* 1/2 x) 1) 1)
10.0ms	x	@	inf	((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 x (- 1/2 y) 1/2 y (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- (log (+ 1 (exp x))) (* x y)) (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+ 2 x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* 1/2 x) 1) 1)
6.0ms	x	@	0	((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 x (- 1/2 y) 1/2 y (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- (log (+ 1 (exp x))) (* x y)) (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+ 2 x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* 1/2 x) 1) 1)
6.0ms	y	@	inf	((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 x (- 1/2 y) 1/2 y (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- (log (+ 1 (exp x))) (* x y)) (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+ 2 x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* 1/2 x) 1) 1)
4.0ms	y	@	0	((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 x (- 1/2 y) 1/2 y (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- (log (+ 1 (exp x))) (* x y)) (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+ 2 x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (log (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* 1/2 x) 1) 1)

rewrite166.0ms (6%)

Memory

34.9MiB live, 224.7MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	284	1670
0	302	1593
1	1531	1435
0	8577	1328

Stop Event

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

Counts

108 → 218

Calls

Call 1

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

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

eval27.0ms (1%)

Memory: -11.7MiB live, 43.8MiB allocated; 6ms collecting garbage
Compiler: Compiled 2 563 to 1 029 computations (59.9% saved)

prune13.0ms (0.5%)

Memory

-25.7MiB live, 20.4MiB allocated; 4ms collecting garbage

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	195	3	198
Fresh	0	1	1
Picked	2	3	5
Done	0	6	6
Total	197	13	210

Accuracy

100.0%

Counts

210 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.7%	(fma.f64 (neg.f64 y) x (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))
✓	66.7%	(-.f64 (log1p.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) (*.f64 x y))
✓	90.7%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
✓	51.1%	#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))))
	51.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (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))))
✓	50.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
	51.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
✓	51.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
✓	49.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x))))
	2.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)))))
✓	50.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
✓	35.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
	3.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))

Compiler

Compiled 363 to 307 computations (15.4% saved)

regimes19.0ms (0.7%)

Memory

31.6MiB live, 31.6MiB allocated; 0ms collecting garbage

Counts

22 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
99.6%	1	`x`
99.6%	1	`y`

Compiler

Compiled 10 to 12 computations (-20% saved)

regimes20.0ms (0.7%)

Memory

-16.2MiB live, 29.9MiB allocated; 2ms collecting garbage

Counts

21 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
99.6%	1	`x`
99.6%	1	`y`

Compiler

Compiled 10 to 12 computations (-20% saved)

regimes18.0ms (0.7%)

Memory

-19.3MiB live, 26.7MiB allocated; 3ms collecting garbage

Counts

19 → 2

Calls

Call 1

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.0%	2	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
99.0%	2	`x`
90.7%	1	`y`

Compiler

Compiled 10 to 12 computations (-20% saved)

regimes6.0ms (0.2%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Counts

16 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
98.8%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.5%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.5%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.2%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

3.0ms	x
2.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
98.0%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
83.7%	3	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated; 0ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
98.0%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes2.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

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

Results

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

Compiler

Compiled 8 to 8 computations (0% saved)

regimes5.0ms (0.2%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

2.0ms	x
1.0ms	y
1.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
50.6%	1	`x`
50.6%	1	`y`
50.6%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 10 to 12 computations (-20% saved)

regimes56.0ms (2%)

Memory

-81.3MiB live, 6.6MiB allocated; 81ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

54.0ms	x
1.0ms	y
1.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
3.7%	1	`x`
3.7%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
3.7%	1	`y`

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch7.0ms (0.3%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	-4378718702789114.5	-2138204234885073.8

Samples

3.0ms

80×

valid

Compiler

Compiled 147 to 156 computations (-6.1% saved)

Precisions

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

ival-exp: 1.0ms (59.9% of total)

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

adjust: 0.0ms (0% of total)

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

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

bsearch12.0ms (0.4%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-2.911121635536563	-0.003226553295633804

Samples

6.0ms

128×

valid

Compiler

Compiled 212 to 227 computations (-7.1% saved)

Precisions

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

ival-exp: 1.0ms (27% of total)

ival-log1p: 1.0ms (27% of total)

ival-mult!: 1.0ms (27% of total)

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

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-4378718702789114.5	-2138204234885073.8

Compiler

Compiled 117 to 126 computations (-7.7% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-4378718702789114.5	-2138204234885073.8

Compiler

Compiled 117 to 126 computations (-7.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	21.250705454398094	3197023160.278671
0.0ms	0.05298579040625765	0.6915352052423351

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	21.250705454398094	3197023160.278671
0.0ms	0.05298579040625765	0.6915352052423351

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	21.250705454398094	3197023160.278671
0.0ms	3.2526378316742935e-7	0.05298579040625765

Compiler

Compiled 11 to 13 computations (-18.2% saved)

derivations231.0ms (8.4%)

Memory

20.0MiB live, 207.3MiB allocated; 24ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 122 to 81 computations (33.6% saved)

preprocess82.0ms (3%)

Memory: -9.5MiB live, 178.8MiB allocated; 15ms collecting garbage
Compiler: Compiled 151 to 107 computations (29.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze77.0ms (2.8%)

sample1.1s (39%)

preprocess61.0ms (2.2%)

series99.0ms (3.6%)

rewrite157.0ms (5.7%)

eval8.0ms (0.3%)

prune15.0ms (0.5%)

series25.0ms (0.9%)

rewrite163.0ms (5.9%)

eval19.0ms (0.7%)

prune9.0ms (0.3%)

series108.0ms (3.9%)

rewrite155.0ms (5.6%)

eval52.0ms (1.9%)

prune9.0ms (0.3%)

series41.0ms (1.5%)

rewrite166.0ms (6%)

eval27.0ms (1%)

prune13.0ms (0.5%)

regimes19.0ms (0.7%)

regimes20.0ms (0.7%)

regimes18.0ms (0.7%)

regimes6.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes5.0ms (0.2%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

regimes5.0ms (0.2%)

regimes56.0ms (2%)

bsearch7.0ms (0.3%)

bsearch12.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations231.0ms (8.4%)

preprocess82.0ms (3%)

end0.0ms (0%)

Profiling