Metrics for Logistic regression 2

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze109.0ms (2.5%)

Memory

-5.3MiB live, 152.6MiB allocated; 66ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.2s (27.6%)

Memory

-27.3MiB live, 2 087.1MiB allocated; 338ms collecting garbage

Samples

549.0ms	8 256×	0	valid
294.0ms	2 760×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 514.0ms

ival-log1p: 214.0ms (41.7% of total)

ival-exp: 145.0ms (28.2% of total)

ival-mult!: 70.0ms (13.6% of total)

adjust: 54.0ms (10.5% of total)

ival-sub!: 31.0ms (6% of total)

Bogosity

explain132.0ms (3%)

Memory

12.1MiB live, 164.8MiB allocated; 11ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
2	89	(-5.1612851630678355e+184 1.1394606153026452e+250)	-	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`
0	0	-	-	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (exp.f64 x))`
0	0	-	-	`y`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(exp.f64 x)`
0	0	-	-	`(*.f64 x y)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`	sensitivity	89	0
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`	oflow-rescue	2	0
↳	`(exp.f64 x)`	overflow	2
↳	`(+.f64 #s(literal 1 binary64) (exp.f64 x))`	overflow	2

Confusion

	Predicted +	Predicted -
+	2	0
-	89	165

Precision

0.02197802197802198

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	89	0	165

Precision?

0.02197802197802198

Recall?

1.0

Freqs

test

number	freq
0	165
1	91

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

58.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult!: 32.0ms (73.4% of total)

ival-log1p: 5.0ms (11.5% of total)

ival-exp: 4.0ms (9.2% of total)

ival-sub!: 1.0ms (2.3% of total)

ival-add!: 1.0ms (2.3% of total)

adjust: 0.0ms (0% of total)

preprocess304.0ms (6.9%)

Memory

15.0MiB live, 241.4MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	60
1	54	58
2	130	58
3	294	58
4	1178	58
5	5705	58
0	8	9
0	13	9
1	23	9
2	46	9
3	97	9
4	316	9
5	2915	9
0	8106	7

Stop Event

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

Calls

Call 1

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

Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Compiler

Compiled 9 to 8 computations (11.1% saved)

series89.0ms (2%)

Memory

-27.0MiB live, 74.4MiB allocated; 19ms 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
46.0ms	x	@	inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
36.0ms	x	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
4.0ms	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 (3.6%)

Memory

34.4MiB live, 161.3MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	433
0	108	424
1	562	422
0	4885	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 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (-.f64 (.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (log1p.f64 (exp.f64 x)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (fma.f64 y x (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (log1p.f64 (exp.f64 x)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))
(-.f64 (log1p.f64 (exp.f64 x)) (.f64 (.f64 (neg.f64 x) y) #s(literal -1 binary64)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (neg.f64 x) y) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (neg.f64 x) y))
(log1p.f64 (exp.f64 x))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.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) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.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 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.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 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))))
(neg.f64 (*.f64 #s(literal -1 binary64) (exp.f64 x)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
(exp.f64 (+.f64 #s(literal 0 binary64) x))
(exp.f64 x)
(+.f64 (.f64 (cosh.f64 x) #s(literal 1 binary64)) (.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 x)) (.f64 #s(literal 1 binary64) (sinh.f64 x)))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
(.f64 (.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 x y)
(.f64 #s(literal 1 binary64) (.f64 y x))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) y))
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))
#s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* x y) (*.f64 y x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x))
#s(approx (log (+ 1 (exp x))) (log1p.f64 (exp.f64 x)))
#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) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (neg.f64 x)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))))
#s(approx y y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (neg.f64 y)) x) (neg.f64 y)))

eval21.0ms (0.5%)

Memory: -27.6MiB live, 25.4MiB allocated; 21ms collecting garbage
Compiler: Compiled 1 389 to 326 computations (76.5% saved)

prune5.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	6	93

Accuracy

99.7%

Counts

93 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(-.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (exp.f64 x) (expm1.f64 x)))) (.f64 x y))
▶	88.3%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
	76.9%	#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))))
▶	81.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
▶	52.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
▶	49.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 180 to 148 computations (17.8% saved)

series234.0ms (5.3%)

Memory

3.7MiB live, 270.7MiB allocated; 76ms collecting garbage

Counts

25 → 87

Calls

Call 1

Inputs
(-.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (exp.f64 x) (expm1.f64 x)))) (.f64 x y))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)))
(pow.f64 (exp.f64 x) #s(literal 3 binary64))
(exp.f64 x)
x
#s(literal 3 binary64)
(log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 (exp.f64 x) (expm1.f64 x))
(expm1.f64 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)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)

Outputs
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (+ (log 2) (* 3/2 x))))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (+ (log 2) (* x (+ 3/2 (* 9/8 x))))))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (+ (log 2) (* x (+ 3/2 (* x (+ 9/8 (* -27/64 (pow x 2)))))))))
#s(approx (pow (exp x) 3) #s(hole binary64 1))
#s(approx (pow (exp x) 3) #s(hole binary64 (+ 1 (* 3 x))))
#s(approx (pow (exp x) 3) #s(hole binary64 (+ 1 (* x (+ 3 (* 9/2 x))))))
#s(approx (pow (exp x) 3) #s(hole binary64 (+ 1 (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) #s(hole binary64 x))
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) #s(hole binary64 (* x (+ 1 x))))
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* -5/12 (pow x 2))))))))
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* (pow x 2) (- (* 91/360 (pow x 2)) 5/12))))))))
#s(approx (* (exp x) (- (exp x) 1)) #s(hole binary64 x))
#s(approx (* (exp x) (- (exp x) 1)) #s(hole binary64 (* x (+ 1 (* 3/2 x)))))
#s(approx (* (exp x) (- (exp x) 1)) #s(hole binary64 (* x (+ 1 (* x (+ 3/2 (* 7/6 x)))))))
#s(approx (* (exp x) (- (exp x) 1)) #s(hole binary64 (* x (+ 1 (* x (+ 3/2 (* x (+ 7/6 (* 5/8 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 (* x y) #s(hole binary64 (* x 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 (* (neg x) y) #s(hole binary64 (* -1 (* x y))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#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 (+ (* (- 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 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (pow (exp x) 3))) x) (+ y (/ (log (+ 1 (* (exp x) (- (exp x) 1)))) x))))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) #s(hole binary64 (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1)))))))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (log (+ 1 (pow (exp x) 3)))))
#s(approx (pow (exp x) 3) #s(hole binary64 (pow (exp x) 3)))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) #s(hole binary64 (log (+ 1 (* (exp x) (- (exp x) 1))))))
#s(approx (* (exp x) (- (exp x) 1)) #s(hole binary64 (* (exp x) (- (exp x) 1))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#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 (+ (* (- 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 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) x)) (* -1 y))))))
#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 (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1)))))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (- (+ (log (+ 1 (pow (exp x) 3))) (* -1 (* x y))) (log (+ 1 (* (exp x) (- (exp x) 1)))))))
#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 (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (pow (exp x) 3))) y) (+ x (/ (log (+ 1 (* (exp x) (- (exp x) 1)))) y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))))
#s(approx (- 1/2 y) #s(hole binary64 (* -1 y)))
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) y)) (* -1 x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))
#s(approx (+ (* (- 1/2 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
106.0ms	x	@	-inf	((- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (log (+ 1 (pow (exp x) 3))) (pow (exp x) 3) (exp x) x 3 (log (+ 1 (* (exp x) (- (exp x) 1)))) (* (exp x) (- (exp x) 1)) (- (exp x) 1) (* x y) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2)
61.0ms	x	@	inf	((- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (log (+ 1 (pow (exp x) 3))) (pow (exp x) 3) (exp x) x 3 (log (+ 1 (* (exp x) (- (exp x) 1)))) (* (exp x) (- (exp x) 1)) (- (exp x) 1) (* x y) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2)
44.0ms	y	@	-inf	((- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (log (+ 1 (pow (exp x) 3))) (pow (exp x) 3) (exp x) x 3 (log (+ 1 (* (exp x) (- (exp x) 1)))) (* (exp x) (- (exp x) 1)) (- (exp x) 1) (* x y) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2)
11.0ms	y	@	0	((- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (log (+ 1 (pow (exp x) 3))) (pow (exp x) 3) (exp x) x 3 (log (+ 1 (* (exp x) (- (exp x) 1)))) (* (exp x) (- (exp x) 1)) (- (exp x) 1) (* x y) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2)
5.0ms	y	@	inf	((- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (log (+ 1 (pow (exp x) 3))) (pow (exp x) 3) (exp x) x 3 (log (+ 1 (* (exp x) (- (exp x) 1)))) (* (exp x) (- (exp x) 1)) (- (exp x) 1) (* x y) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2)

rewrite165.0ms (3.7%)

Memory

46.7MiB live, 228.7MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	307	1579
0	330	1540
1	1710	1539
0	8232	1422

Stop Event

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

Counts

112 → 193

Calls

Call 1

Inputs
(-.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (exp.f64 x) (expm1.f64 x)))) (.f64 x y))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)))
(pow.f64 (exp.f64 x) #s(literal 3 binary64))
(exp.f64 x)
x
#s(literal 3 binary64)
(log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 (exp.f64 x) (expm1.f64 x))
(expm1.f64 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)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (+ (log 2) (* 3/2 x))))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (+ (log 2) (* x (+ 3/2 (* 9/8 x))))))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (+ (log 2) (* x (+ 3/2 (* x (+ 9/8 (* -27/64 (pow x 2)))))))))
#s(approx (pow (exp x) 3) #s(hole binary64 1))
#s(approx (pow (exp x) 3) #s(hole binary64 (+ 1 (* 3 x))))
#s(approx (pow (exp x) 3) #s(hole binary64 (+ 1 (* x (+ 3 (* 9/2 x))))))
#s(approx (pow (exp x) 3) #s(hole binary64 (+ 1 (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) #s(hole binary64 x))
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) #s(hole binary64 (* x (+ 1 x))))
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* -5/12 (pow x 2))))))))
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* (pow x 2) (- (* 91/360 (pow x 2)) 5/12))))))))
#s(approx (* (exp x) (- (exp x) 1)) #s(hole binary64 x))
#s(approx (* (exp x) (- (exp x) 1)) #s(hole binary64 (* x (+ 1 (* 3/2 x)))))
#s(approx (* (exp x) (- (exp x) 1)) #s(hole binary64 (* x (+ 1 (* x (+ 3/2 (* 7/6 x)))))))
#s(approx (* (exp x) (- (exp x) 1)) #s(hole binary64 (* x (+ 1 (* x (+ 3/2 (* x (+ 7/6 (* 5/8 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 (* x y) #s(hole binary64 (* x 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 (* (neg x) y) #s(hole binary64 (* -1 (* x y))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#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 (+ (* (- 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 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (pow (exp x) 3))) x) (+ y (/ (log (+ 1 (* (exp x) (- (exp x) 1)))) x))))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) #s(hole binary64 (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1)))))))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (log (+ 1 (pow (exp x) 3)))))
#s(approx (pow (exp x) 3) #s(hole binary64 (pow (exp x) 3)))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) #s(hole binary64 (log (+ 1 (* (exp x) (- (exp x) 1))))))
#s(approx (* (exp x) (- (exp x) 1)) #s(hole binary64 (* (exp x) (- (exp x) 1))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#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 (+ (* (- 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 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) x)) (* -1 y))))))
#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 (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1)))))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (- (+ (log (+ 1 (pow (exp x) 3))) (* -1 (* x y))) (log (+ 1 (* (exp x) (- (exp x) 1)))))))
#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 (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (pow (exp x) 3))) y) (+ x (/ (log (+ 1 (* (exp x) (- (exp x) 1)))) y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))))
#s(approx (- 1/2 y) #s(hole binary64 (* -1 y)))
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) y)) (* -1 x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))
#s(approx (+ (* (- 1/2 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 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) (.f64 y x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 (+.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) (.f64 y x)) (+.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) (.f64 y x)) (.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) (*.f64 y x))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x)))) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x)))) (*.f64 (neg.f64 x) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x)))) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x)))) (.f64 y x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x)))) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x)))) (*.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x)))) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (+.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x)))) (.f64 y x)))
(/.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x)))) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x)))) (*.f64 y x)))))
(-.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x)))) #s(literal 2 binary64)) (+.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x)))) (.f64 y x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (+.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x)))) (.f64 y x))))
(-.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x)))) (.f64 y x))))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x)))) (.f64 y x))))))
(-.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x)))) (.f64 y x))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) (.f64 y x)))
(+.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x)))) (.f64 (neg.f64 x) y))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)) (.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)) (.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x)))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))))) (/.f64 (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)) (.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))))))) (/.f64 (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)) (.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))))))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 9 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))))
(log.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) x)
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (exp.f64 x) #s(literal 3 binary64))
(exp.f64 (*.f64 #s(literal 3 binary64) x))
(+.f64 (cosh.f64 (.f64 #s(literal 3 binary64) x)) (sinh.f64 (.f64 #s(literal 3 binary64) 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)))))
(exp.f64 x)
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
#s(literal 3 binary64)
(log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x)))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (expm1.f64 x) (exp.f64 x)) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 (expm1.f64 x) (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (.f64 (expm1.f64 x) (exp.f64 x)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (.f64 (expm1.f64 x) (exp.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (expm1.f64 x) (exp.f64 x))))))
(log.f64 (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(*.f64 (expm1.f64 x) (exp.f64 x))
(*.f64 (exp.f64 x) (expm1.f64 x))
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y
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#s(approx (* (exp x) (- (exp x) 1)) (*.f64 (expm1.f64 x) (exp.f64 x)))
#s(approx (- (exp x) 1) (expm1.f64 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 (log1p.f64 (exp.f64 x)) x) y) x))
#s(approx (log (+ 1 (exp x))) (log1p.f64 (exp.f64 x)))
#s(approx (+ 1 (exp x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (.f64 (neg.f64 x) (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x)))) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (neg.f64 y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 1/2 binary64)) x))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x)))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (-.f64 (fma.f64 (neg.f64 x) y (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x)))))
#s(approx y y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)) (log.f64 #s(literal 2 binary64))))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(approx (- 1/2 y) (fma.f64 #s(literal -1 binary64) y #s(literal 1/2 binary64)))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (.f64 (-.f64 (/.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) y) (+.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) y) x)) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 x) y))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (fma.f64 #s(literal -1 binary64) 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 (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (.f64 (neg.f64 y) (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x)))) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (-.f64 (neg.f64 (/.f64 (log1p.f64 (exp.f64 x)) y)) (neg.f64 x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) #s(literal -1 binary64) x)))
#s(approx (- 1/2 y) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))

eval841.0ms (19.1%)

Memory: -239.6MiB live, 79.9MiB allocated; 1.2s collecting garbage
Compiler: Compiled 5 690 to 840 computations (85.2% saved)

prune72.0ms (1.6%)

Memory

-19.4MiB live, 27.6MiB allocated; 2ms collecting garbage

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	215	6	221
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	219	8	227

Accuracy

99.7%

Counts

227 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.6%	(-.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) (.f64 (+.f64 #s(literal 1 binary64) x) x))) (.f64 x y))
▶	76.9%	#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (fma.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64))))
▶	88.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
▶	50.1%	#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))))
	63.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (-.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 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 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64))))))
✓	52.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
✓	49.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
▶	34.0%	#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 350 to 248 computations (29.1% saved)

series65.0ms (1.5%)

Memory

40.8MiB live, 128.9MiB allocated; 14ms collecting garbage

Counts

32 → 106

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(approx (- 1/2 y) (neg.f64 y)) x (log.f64 #s(literal 2 binary64)))
#s(approx (- 1/2 y) (neg.f64 y))
(neg.f64 y)
y
x
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (fma.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64)))
(-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
(-.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) (.f64 (+.f64 #s(literal 1 binary64) x) x))) (.f64 x y))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) (*.f64 (+.f64 #s(literal 1 binary64) x) x)))
(log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)))
(pow.f64 (exp.f64 x) #s(literal 3 binary64))
(exp.f64 x)
#s(literal 3 binary64)
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) (*.f64 (+.f64 #s(literal 1 binary64) x) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 x y)

Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (+ (* (- 1/2 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 x #s(hole binary64 x))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* x (- 1/2 y))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* 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 (+ (* 1/8 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/8 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 x))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (+ (log 2) (* 3/2 x))))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (+ (log 2) (* x (+ 3/2 (* 9/8 x))))))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (+ (log 2) (* x (+ 3/2 (* x (+ 9/8 (* -27/64 (pow x 2)))))))))
#s(approx (pow (exp x) 3) #s(hole binary64 1))
#s(approx (pow (exp x) 3) #s(hole binary64 (+ 1 (* 3 x))))
#s(approx (pow (exp x) 3) #s(hole binary64 (+ 1 (* x (+ 3 (* 9/2 x))))))
#s(approx (pow (exp x) 3) #s(hole binary64 (+ 1 (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) #s(hole binary64 x))
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) #s(hole binary64 (* x (+ 1 x))))
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* -5/12 (pow x 2))))))))
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* (pow x 2) (- (* 91/360 (pow x 2)) 5/12))))))))
#s(approx (* (+ 1 x) x) #s(hole binary64 x))
#s(approx (* (+ 1 x) x) #s(hole binary64 (* x (+ 1 x))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 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 (+ (* (- 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 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (pow (exp x) 3))) x) (+ y (/ (log (+ 1 (* (exp x) (- (exp x) 1)))) x))))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))))
#s(approx (- (+ (* 1/8 x) 1/2) y) #s(hole binary64 (* 1/8 x)))
#s(approx (- (+ (* 1/8 x) 1/2) y) #s(hole binary64 (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))))
#s(approx (+ (* 1/8 x) 1/2) #s(hole binary64 (* 1/8 x)))
#s(approx (+ (* 1/8 x) 1/2) #s(hole binary64 (* x (+ 1/8 (* 1/2 (/ 1 x))))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) #s(hole binary64 (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1)))))))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (log (+ 1 (pow (exp x) 3)))))
#s(approx (pow (exp x) 3) #s(hole binary64 (pow (exp x) 3)))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) #s(hole binary64 (log (+ 1 (* (exp x) (- (exp x) 1))))))
#s(approx (* (+ 1 x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ 1 x) x) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x)))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 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 (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) x)) (* -1 y))))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))))
#s(approx (- (+ (* 1/8 x) 1/2) y) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))))
#s(approx (- (log (+ 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) #s(hole binary64 (* -1 y)))
#s(approx y #s(hole binary64 y))
#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 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1)))))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (- (+ (log (+ 1 (pow (exp x) 3))) (* -1 (* x y))) (log (+ 1 (* (exp x) (- (exp x) 1)))))))
#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 (- (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 (* (- 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 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (pow (exp x) 3))) y) (+ x (/ (log (+ 1 (* (exp x) (- (exp x) 1)))) y))))))
#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 (- (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)))))))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* -1 (* y (+ x (* -1/2 (/ x y)))))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) 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)))))))

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	x	@	inf	((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (- (+ (* 1/8 x) 1/2) y) (+ (* 1/8 x) 1/2) 1/8 (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (log (+ 1 (pow (exp x) 3))) (pow (exp x) 3) (exp x) 3 (log (+ 1 (* (exp x) (- (exp x) 1)))) (* (+ 1 x) x) (+ 1 x) 1 (* x y))
17.0ms	x	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (- (+ (* 1/8 x) 1/2) y) (+ (* 1/8 x) 1/2) 1/8 (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (log (+ 1 (pow (exp x) 3))) (pow (exp x) 3) (exp x) 3 (log (+ 1 (* (exp x) (- (exp x) 1)))) (* (+ 1 x) x) (+ 1 x) 1 (* x y))
11.0ms	y	@	0	((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (- (+ (* 1/8 x) 1/2) y) (+ (* 1/8 x) 1/2) 1/8 (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (log (+ 1 (pow (exp x) 3))) (pow (exp x) 3) (exp x) 3 (log (+ 1 (* (exp x) (- (exp x) 1)))) (* (+ 1 x) x) (+ 1 x) 1 (* x y))
6.0ms	y	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (- (+ (* 1/8 x) 1/2) y) (+ (* 1/8 x) 1/2) 1/8 (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (log (+ 1 (pow (exp x) 3))) (pow (exp x) 3) (exp x) 3 (log (+ 1 (* (exp x) (- (exp x) 1)))) (* (+ 1 x) x) (+ 1 x) 1 (* x y))
5.0ms	y	@	inf	((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (- (+ (* 1/8 x) 1/2) y) (+ (* 1/8 x) 1/2) 1/8 (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (log (+ 1 (pow (exp x) 3))) (pow (exp x) 3) (exp x) 3 (log (+ 1 (* (exp x) (- (exp x) 1)))) (* (+ 1 x) x) (+ 1 x) 1 (* x y))

rewrite186.0ms (4.2%)

Memory

-1.9MiB live, 281.3MiB allocated; 68ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	363	2202
0	391	2115
1	2013	2109
0	8222	1874

Stop Event

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

Counts

138 → 257

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(approx (- 1/2 y) (neg.f64 y)) x (log.f64 #s(literal 2 binary64)))
#s(approx (- 1/2 y) (neg.f64 y))
(neg.f64 y)
y
x
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (fma.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64)))
(-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
(-.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) (.f64 (+.f64 #s(literal 1 binary64) x) x))) (.f64 x y))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) (*.f64 (+.f64 #s(literal 1 binary64) x) x)))
(log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)))
(pow.f64 (exp.f64 x) #s(literal 3 binary64))
(exp.f64 x)
#s(literal 3 binary64)
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) (*.f64 (+.f64 #s(literal 1 binary64) x) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 x y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (+ (* (- 1/2 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 x #s(hole binary64 x))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* x (- 1/2 y))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* 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 (+ (* 1/8 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/8 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 x))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (+ (log 2) (* 3/2 x))))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (+ (log 2) (* x (+ 3/2 (* 9/8 x))))))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (+ (log 2) (* x (+ 3/2 (* x (+ 9/8 (* -27/64 (pow x 2)))))))))
#s(approx (pow (exp x) 3) #s(hole binary64 1))
#s(approx (pow (exp x) 3) #s(hole binary64 (+ 1 (* 3 x))))
#s(approx (pow (exp x) 3) #s(hole binary64 (+ 1 (* x (+ 3 (* 9/2 x))))))
#s(approx (pow (exp x) 3) #s(hole binary64 (+ 1 (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) #s(hole binary64 x))
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) #s(hole binary64 (* x (+ 1 x))))
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* -5/12 (pow x 2))))))))
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* (pow x 2) (- (* 91/360 (pow x 2)) 5/12))))))))
#s(approx (* (+ 1 x) x) #s(hole binary64 x))
#s(approx (* (+ 1 x) x) #s(hole binary64 (* x (+ 1 x))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 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 (+ (* (- 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 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (pow (exp x) 3))) x) (+ y (/ (log (+ 1 (* (exp x) (- (exp x) 1)))) x))))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))))
#s(approx (- (+ (* 1/8 x) 1/2) y) #s(hole binary64 (* 1/8 x)))
#s(approx (- (+ (* 1/8 x) 1/2) y) #s(hole binary64 (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))))
#s(approx (+ (* 1/8 x) 1/2) #s(hole binary64 (* 1/8 x)))
#s(approx (+ (* 1/8 x) 1/2) #s(hole binary64 (* x (+ 1/8 (* 1/2 (/ 1 x))))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) #s(hole binary64 (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1)))))))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (log (+ 1 (pow (exp x) 3)))))
#s(approx (pow (exp x) 3) #s(hole binary64 (pow (exp x) 3)))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) #s(hole binary64 (log (+ 1 (* (exp x) (- (exp x) 1))))))
#s(approx (* (+ 1 x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ 1 x) x) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x)))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 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 (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) x)) (* -1 y))))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))))
#s(approx (- (+ (* 1/8 x) 1/2) y) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))))
#s(approx (- (log (+ 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) #s(hole binary64 (* -1 y)))
#s(approx y #s(hole binary64 y))
#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 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1)))))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (- (+ (log (+ 1 (pow (exp x) 3))) (* -1 (* x y))) (log (+ 1 (* (exp x) (- (exp x) 1)))))))
#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 (- (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 (* (- 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 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (pow (exp x) 3))) y) (+ x (/ (log (+ 1 (* (exp x) (- (exp x) 1)))) y))))))
#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 (- (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)))))))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* -1 (* y (+ x (* -1/2 (/ x y)))))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) 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)))))))

Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) (neg.f64 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 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(approx (- 1/2 y) (neg.f64 y)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) (log.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) (log.f64 #s(literal 2 binary64)))))))
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#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (pow (exp x) 3))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (pow (exp x) 3))) (fma.f64 #s(literal 3/2 binary64) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (pow (exp x) 3))) (fma.f64 (fma.f64 #s(literal 9/8 binary64) x #s(literal 3/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (pow (exp x) 3))) (fma.f64 (fma.f64 (fma.f64 #s(literal -27/64 binary64) (*.f64 x x) #s(literal 9/8 binary64)) x #s(literal 3/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (pow (exp x) 3) #s(literal 1 binary64))
#s(approx (pow (exp x) 3) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
#s(approx (pow (exp x) 3) (fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 3 binary64)) x #s(literal 1 binary64)))
#s(approx (pow (exp x) 3) (fma.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 9/2 binary64)) x #s(literal 3 binary64)) x #s(literal 1 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 (log (+ 1 (* (exp x) (- (exp x) 1)))) x)
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) (.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) (.f64 x x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 91/360 binary64) (.f64 x x)) #s(literal 5/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))
#s(approx (* (+ 1 x) x) x)
#s(approx (* (+ 1 x) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
#s(approx (+ 1 x) #s(literal 1 binary64))
#s(approx (+ 1 x) (+.f64 x #s(literal 1 binary64)))
#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 (log1p.f64 (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 (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (.f64 (-.f64 (/.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) x) (+.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) x) y)) x))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (.f64 x x)))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x x))) (/.f64 y x)) (*.f64 x x)))
#s(approx (- (+ (* 1/8 x) 1/2) y) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (- (+ (* 1/8 x) 1/2) y) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) x))
#s(approx (+ (* 1/8 x) 1/2) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (* 1/8 x) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x)))))
#s(approx (log (+ 1 (pow (exp x) 3))) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))))
#s(approx (pow (exp x) 3) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))))
#s(approx (* (+ 1 x) x) (*.f64 x x))
#s(approx (* (+ 1 x) x) (fma.f64 (*.f64 x x) #s(literal 1 binary64) x))
#s(approx (+ 1 x) x)
#s(approx (+ 1 x) (fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (neg.f64 y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 1/2 binary64)) x))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (.f64 (neg.f64 x) (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x)))) x) y))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 1/2 binary64)) x)) x) #s(literal -1 binary64) #s(literal 1/8 binary64)) (.f64 x x)))
#s(approx (- (+ (* 1/8 x) 1/2) y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)) (log.f64 #s(literal 2 binary64))))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(approx (- 1/2 y) (fma.f64 #s(literal -1 binary64) y #s(literal 1/2 binary64)))
#s(approx (neg y) (neg.f64 y))
#s(approx y y)
#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 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x)))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (-.f64 (fma.f64 (neg.f64 x) y (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x)))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x)) (log.f64 #s(literal 2 binary64))))
#s(approx (- (+ (* 1/8 x) 1/2) y) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)))
#s(approx (- (+ (* 1/8 x) 1/2) y) (+.f64 (fma.f64 #s(literal 1/8 binary64) x (neg.f64 y)) #s(literal 1/2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 x) y))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (fma.f64 #s(literal -1 binary64) 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 (* (- 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 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (.f64 (-.f64 (/.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) y) (+.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) 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 (fma.f64 #s(literal -1 binary64) x (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y)) 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 (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (-.f64 (neg.f64 (/.f64 (log1p.f64 (exp.f64 x)) y)) (neg.f64 x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) #s(literal -1 binary64) x)))
#s(approx (- 1/2 y) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))
#s(approx (* (- 1/2 y) x) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) x)))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (.f64 (neg.f64 y) (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x)))) y) x))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (neg.f64 y) (fma.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) #s(literal -1 binary64) x)))
#s(approx (- (+ (* 1/8 x) 1/2) y) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal -1 binary64) #s(literal 1 binary64))))

eval35.0ms (0.8%)

Memory: 19.2MiB live, 112.6MiB allocated; 4ms collecting garbage
Compiler: Compiled 10 392 to 1 133 computations (89.1% saved)

prune17.0ms (0.4%)

Memory

-5.9MiB live, 44.8MiB allocated; 9ms collecting garbage

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	272	8	280
Fresh	1	0	1
Picked	2	3	5
Done	0	2	2
Total	275	13	288

Accuracy

99.7%

Counts

288 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.6%	(-.f64 (-.f64 (log1p.f64 #s(approx (pow (exp x) 3) (fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 3 binary64)) x #s(literal 1 binary64)))) #s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) (.f64 (+.f64 #s(literal 1 binary64) x) x))) (.f64 x y))
	52.8%	#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* 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))))
▶	22.0%	#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (.f64 x x))))
	6.2%	#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
✓	88.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
✓	50.1%	#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))))
▶	53.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (-.f64 (/.f64 (pow.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64))))))
✓	52.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
✓	49.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
	20.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x)))
✓	34.0%	#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)))
▶	33.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
▶	3.6%	#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 687 to 471 computations (31.4% saved)

series96.0ms (2.2%)

Memory

-21.7MiB live, 211.6MiB allocated; 21ms collecting garbage

Counts

46 → 219

Calls

Call 1

Inputs
(-.f64 (-.f64 (log1p.f64 #s(approx (pow (exp x) 3) (fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 3 binary64)) x #s(literal 1 binary64)))) #s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) (.f64 (+.f64 #s(literal 1 binary64) x) x))) (.f64 x y))
(-.f64 (log1p.f64 #s(approx (pow (exp x) 3) (fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 3 binary64)) x #s(literal 1 binary64)))) #s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) (*.f64 (+.f64 #s(literal 1 binary64) x) x)))
(log1p.f64 #s(approx (pow (exp x) 3) (fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 3 binary64)) x #s(literal 1 binary64))))
#s(approx (pow (exp x) 3) (fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 3 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 3 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 9/2 binary64) x #s(literal 3 binary64))
#s(literal 9/2 binary64)
x
#s(literal 3 binary64)
#s(literal 1 binary64)
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) (*.f64 (+.f64 #s(literal 1 binary64) x) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) x)
(*.f64 x y)
y
#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 (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y)))
#s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y)
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x))
(/.f64 x y)
(neg.f64 x)
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (.f64 x x))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (.f64 x x)))
(.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (.f64 x x))
(+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))
#s(literal 1/8 binary64)
(/.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(-.f64 #s(literal 1/2 binary64) y)
(*.f64 x x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (-.f64 (/.f64 (pow.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))))
(/.f64 (pow.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64))))
(pow.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))
(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(literal 2 binary64)
(-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
(/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64))))
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))

Outputs
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (+ (log 2) (* 3/2 x))))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (+ (log 2) (* x (+ 3/2 (* 9/8 x))))))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (+ (log 2) (* x (+ 3/2 (* x (+ 9/8 (* -27/64 (pow x 2)))))))))
#s(approx (pow (exp x) 3) #s(hole binary64 1))
#s(approx (pow (exp x) 3) #s(hole binary64 (+ 1 (* 3 x))))
#s(approx (pow (exp x) 3) #s(hole binary64 (+ 1 (* x (+ 3 (* 9/2 x))))))
#s(approx (pow (exp x) 3) #s(hole binary64 (+ 1 (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))))))
#s(approx (+ (* (+ (* 9/2 x) 3) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 9/2 x) 3) x) 1) #s(hole binary64 (+ 1 (* 3 x))))
#s(approx (+ (* (+ (* 9/2 x) 3) x) 1) #s(hole binary64 (+ 1 (* x (+ 3 (* 9/2 x))))))
#s(approx (+ (* 9/2 x) 3) #s(hole binary64 3))
#s(approx (+ (* 9/2 x) 3) #s(hole binary64 (+ 3 (* 9/2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) #s(hole binary64 x))
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) #s(hole binary64 (* x (+ 1 x))))
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* -5/12 (pow x 2))))))))
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* (pow x 2) (- (* 91/360 (pow x 2)) 5/12))))))))
#s(approx (* (+ 1 x) x) #s(hole binary64 x))
#s(approx (* (+ 1 x) x) #s(hole binary64 (* x (+ 1 x))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* x (- 1/2 y))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (/ x y) 1/2) (neg x)) y) #s(hole binary64 (* x (* y (- (* 1/2 (/ 1 y)) 1)))))
#s(approx (+ (* (/ x y) 1/2) (neg x)) #s(hole binary64 (* x (- (* 1/2 (/ 1 y)) 1))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) #s(hole binary64 (* x (- 1/2 y))))
#s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) #s(hole binary64 (* x (- (+ 1/2 (* 1/8 x)) y))))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) #s(hole binary64 (/ (- 1/2 y) x)))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) #s(hole binary64 (/ (- (+ 1/2 (* 1/8 x)) y) x)))
#s(approx (/ (- 1/2 y) x) #s(hole binary64 (/ (- 1/2 y) x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (log 2)))
#s(approx (- (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (- (* x (- 1/2 y)) (* -1 (log 2)))))
#s(approx (- (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (- (* x (- (+ 1/2 (* x (+ (* -1 (/ (* (- 1/2 y) (- y 1/2)) (log 2))) (* -1 (/ (pow (- 1/2 y) 2) (log 2)))))) y)) (* -1 (log 2)))))
#s(approx (- (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (- (* x (- (+ 1/2 (* x (+ (* -1 (/ (* (- 1/2 y) (- y 1/2)) (log 2))) (+ (* -1 (/ (pow (- 1/2 y) 2) (log 2))) (* x (- (* -1 (/ (* (pow (- 1/2 y) 2) (- y 1/2)) (pow (log 2) 2))) (/ (pow (- 1/2 y) 3) (pow (log 2) 2)))))))) y)) (* -1 (log 2)))))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) #s(hole binary64 (* -1 (/ (* (pow x 2) (pow (- 1/2 y) 2)) (log 2)))))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (* x (pow (- 1/2 y) 3)) (pow (log 2) 2))) (* -1 (/ (pow (- 1/2 y) 2) (log 2)))))))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (pow (- 1/2 y) 2) (log 2))) (* x (- (* -1 (/ (* x (pow (- 1/2 y) 4)) (pow (log 2) 3))) (/ (pow (- 1/2 y) 3) (pow (log 2) 2))))))))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (pow (- 1/2 y) 2) (log 2))) (* x (- (* x (- (* -1 (/ (* x (pow (- 1/2 y) 5)) (pow (log 2) 4))) (/ (pow (- 1/2 y) 4) (pow (log 2) 3)))) (/ (pow (- 1/2 y) 3) (pow (log 2) 2))))))))
#s(approx (pow (* (- 1/2 y) x) 2) #s(hole binary64 (* (pow x 2) (pow (- 1/2 y) 2))))
#s(approx (- (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (log 2))))
#s(approx (- (* (- 1/2 y) x) (log 2)) #s(hole binary64 (- (* x (- 1/2 y)) (log 2))))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) #s(hole binary64 (* -1 (log 2))))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) #s(hole binary64 (+ (* -1 (log 2)) (* x (- y 1/2)))))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) #s(hole binary64 (+ (* -1 (log 2)) (* x (- (+ y (/ (* x (* (- 1/2 y) (- y 1/2))) (log 2))) 1/2)))))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) #s(hole binary64 (+ (* -1 (log 2)) (* x (- (+ y (* x (- (/ (* x (* (pow (- 1/2 y) 2) (- y 1/2))) (pow (log 2) 2)) (* -1 (/ (* (- 1/2 y) (- y 1/2)) (log 2)))))) 1/2)))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (pow (exp x) 3))) x) (+ y (/ (log (+ 1 (* (exp x) (- (exp x) 1)))) x))))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) #s(hole binary64 (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1)))))))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (log (+ 1 (pow (exp x) 3)))))
#s(approx (pow (exp x) 3) #s(hole binary64 (pow (exp x) 3)))
#s(approx (+ (* (+ (* 9/2 x) 3) x) 1) #s(hole binary64 (* 9/2 (pow x 2))))
#s(approx (+ (* (+ (* 9/2 x) 3) x) 1) #s(hole binary64 (* (pow x 2) (+ 9/2 (* 3 (/ 1 x))))))
#s(approx (+ (* (+ (* 9/2 x) 3) x) 1) #s(hole binary64 (* (pow x 2) (+ 9/2 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 9/2 x) 3) #s(hole binary64 (* 9/2 x)))
#s(approx (+ (* 9/2 x) 3) #s(hole binary64 (* x (+ 9/2 (* 3 (/ 1 x))))))
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) #s(hole binary64 (log (+ 1 (* (exp x) (- (exp x) 1))))))
#s(approx (* (+ 1 x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ 1 x) x) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x)))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 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 (+ (* (- (+ (* 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 (/ (- 1/2 y) x)) (* x x)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) #s(hole binary64 1/8))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) #s(hole binary64 (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))))
#s(approx (- (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (* x (- 1/2 y))))
#s(approx (- (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (* x (- (+ 1/2 (/ (log 2) x)) y))))
#s(approx (- (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (* x (- (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow (log 2) 2) (- 1/2 y))) (/ (pow (log 2) 2) (- 1/2 y))) (pow x 2)))) (+ y (* -1 (/ (log 2) x)))))))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) #s(hole binary64 (* x (- 1/2 y))))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) #s(hole binary64 (* x (- (+ 1/2 (/ (log 2) x)) y))))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) #s(hole binary64 (* x (- (+ 1/2 (/ (pow (log 2) 2) (* (pow x 2) (- 1/2 y)))) (+ y (* -1 (/ (log 2) x)))))))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) #s(hole binary64 (* x (- (+ 1/2 (/ (pow (log 2) 3) (* (pow x 3) (pow (- 1/2 y) 2)))) (+ y (+ (* -1 (/ (log 2) x)) (* -1 (/ (pow (log 2) 2) (* (pow x 2) (- 1/2 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 (* -1 (/ (log 2) x))) y))))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) #s(hole binary64 (/ (pow (log 2) 2) (* x (- 1/2 y)))))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) #s(hole binary64 (/ (+ (/ (pow (log 2) 2) (- 1/2 y)) (/ (pow (log 2) 3) (* x (pow (- 1/2 y) 2)))) x)))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) #s(hole binary64 (/ (- (+ (/ (pow (log 2) 2) (- 1/2 y)) (/ (pow (log 2) 4) (* (pow x 2) (pow (- 1/2 y) 3)))) (* -1 (/ (pow (log 2) 3) (* x (pow (- 1/2 y) 2))))) x)))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) #s(hole binary64 (/ (- (+ (/ (pow (log 2) 2) (- 1/2 y)) (/ (pow (log 2) 5) (* (pow x 3) (pow (- 1/2 y) 4)))) (+ (* -1 (/ (pow (log 2) 3) (* x (pow (- 1/2 y) 2)))) (* -1 (/ (pow (log 2) 4) (* (pow x 2) (pow (- 1/2 y) 3)))))) x)))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) x)) (* -1 y))))))
#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 (* (+ (* (/ x y) 1/2) (neg x)) y) #s(hole binary64 (* -1 (* x (* y (- 1 (* 1/2 (/ 1 y))))))))
#s(approx (+ (* (/ x y) 1/2) (neg x)) #s(hole binary64 (* -1 (* x (- 1 (* 1/2 (/ 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 (- (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))))
#s(approx (- (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (- (+ (* -1 (/ (pow (log 2) 2) (* x (- 1/2 y)))) (/ (pow (log 2) 2) (* x (- 1/2 y)))) (* -1 (log 2))) x)))))))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (- (/ (pow (log 2) 2) (* x (- 1/2 y))) (* -1 (log 2))) x)))))))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (log 2) 3) (* x (pow (- 1/2 y) 2)))) (/ (pow (log 2) 2) (- 1/2 y))) x)) (* -1 (log 2))) x)))))))
#s(approx (- (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (/ (log 2) x))))))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (pow (log 2) 2) (- 1/2 y))) (* -1 (/ (pow (log 2) 3) (* x (pow (- 1/2 y) 2))))) x))))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (/ (pow (log 2) 4) (* x (pow (- 1/2 y) 3))) (* -1 (/ (pow (log 2) 3) (pow (- 1/2 y) 2)))) x)) (* -1 (/ (pow (log 2) 2) (- 1/2 y)))) x))))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (log 2) 5) (* x (pow (- 1/2 y) 4)))) (/ (pow (log 2) 4) (pow (- 1/2 y) 3))) x)) (* -1 (/ (pow (log 2) 3) (pow (- 1/2 y) 2)))) x)) (* -1 (/ (pow (log 2) 2) (- 1/2 y)))) x))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1)))))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (- (+ (log (+ 1 (pow (exp x) 3))) (* -1 (* x y))) (log (+ 1 (* (exp x) (- (exp x) 1)))))))
#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) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (+ (* -1 (* x y)) (* 1/2 x))))
#s(approx (* (+ (* (/ x y) 1/2) (neg x)) y) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (/ x y) 1/2) (neg x)) y) #s(hole binary64 (+ (* -1 (* x y)) (* 1/2 x))))
#s(approx (+ (* (/ x y) 1/2) (neg x)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (+ (* (/ x y) 1/2) (neg x)) #s(hole binary64 (/ (+ (* -1 (* x y)) (* 1/2 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 (/ (- 1/2 y) x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))))
#s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) #s(hole binary64 (+ (* -1 (* x y)) (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) #s(hole binary64 (+ 1/8 (* 1/2 (/ 1 x)))))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) #s(hole binary64 (+ 1/8 (+ (* -1 (/ y x)) (* 1/2 (/ 1 x))))))
#s(approx (/ (- 1/2 y) x) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (- 1/2 y) x) #s(hole binary64 (+ (* -1 (/ y x)) (* 1/2 (/ 1 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 (- (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (- (* 1/4 (/ (pow x 2) (- (* 1/2 x) (log 2)))) (/ (pow (log 2) 2) (- (* 1/2 x) (log 2))))))
#s(approx (- (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 x) (log 2)))) (* y (- (+ (* -1 (/ (* x (pow (log 2) 2)) (pow (- (* 1/2 x) (log 2)) 2))) (* -1 (/ (pow x 2) (- (* 1/2 x) (log 2))))) (* -1/4 (/ (pow x 3) (pow (- (* 1/2 x) (log 2)) 2)))))) (/ (pow (log 2) 2) (- (* 1/2 x) (log 2))))))
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Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	x	@	-inf	((- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (log (+ 1 (pow (exp x) 3))) (pow (exp x) 3) (+ (* (+ (* 9/2 x) 3) x) 1) (+ (* 9/2 x) 3) 9/2 x 3 1 (log (+ 1 (* (exp x) (- (exp x) 1)))) (* (+ 1 x) x) (+ 1 x) (* x y) y (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (* 1/2 x) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (* (+ (* (/ x y) 1/2) (neg x)) y) (+ (* (/ x y) 1/2) (neg x)) (/ x y) (neg x) (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (+ 1/8 (/ (- 1/2 y) x)) 1/8 (/ (- 1/2 y) x) (- 1/2 y) (* x x) (- (log (+ 1 (exp x))) (* x y)) (- (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2)))) (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (pow (* (- 1/2 y) x) 2) (* (- 1/2 y) x) (- 1/2 y) 2 (- (* (- 1/2 y) x) (log 2)) (log 2) (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) (pow (log 2) 2))
24.0ms	x	@	inf	((- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (log (+ 1 (pow (exp x) 3))) (pow (exp x) 3) (+ (* (+ (* 9/2 x) 3) x) 1) (+ (* 9/2 x) 3) 9/2 x 3 1 (log (+ 1 (* (exp x) (- (exp x) 1)))) (* (+ 1 x) x) (+ 1 x) (* x y) y (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (* 1/2 x) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (* (+ (* (/ x y) 1/2) (neg x)) y) (+ (* (/ x y) 1/2) (neg x)) (/ x y) (neg x) (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (+ 1/8 (/ (- 1/2 y) x)) 1/8 (/ (- 1/2 y) x) (- 1/2 y) (* x x) (- (log (+ 1 (exp x))) (* x y)) (- (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2)))) (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (pow (* (- 1/2 y) x) 2) (* (- 1/2 y) x) (- 1/2 y) 2 (- (* (- 1/2 y) x) (log 2)) (log 2) (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) (pow (log 2) 2))
11.0ms	y	@	0	((- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (log (+ 1 (pow (exp x) 3))) (pow (exp x) 3) (+ (* (+ (* 9/2 x) 3) x) 1) (+ (* 9/2 x) 3) 9/2 x 3 1 (log (+ 1 (* (exp x) (- (exp x) 1)))) (* (+ 1 x) x) (+ 1 x) (* x y) y (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (* 1/2 x) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (* (+ (* (/ x y) 1/2) (neg x)) y) (+ (* (/ x y) 1/2) (neg x)) (/ x y) (neg x) (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (+ 1/8 (/ (- 1/2 y) x)) 1/8 (/ (- 1/2 y) x) (- 1/2 y) (* x x) (- (log (+ 1 (exp x))) (* x y)) (- (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2)))) (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (pow (* (- 1/2 y) x) 2) (* (- 1/2 y) x) (- 1/2 y) 2 (- (* (- 1/2 y) x) (log 2)) (log 2) (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) (pow (log 2) 2))
10.0ms	y	@	-inf	((- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (log (+ 1 (pow (exp x) 3))) (pow (exp x) 3) (+ (* (+ (* 9/2 x) 3) x) 1) (+ (* 9/2 x) 3) 9/2 x 3 1 (log (+ 1 (* (exp x) (- (exp x) 1)))) (* (+ 1 x) x) (+ 1 x) (* x y) y (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (* 1/2 x) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (* (+ (* (/ x y) 1/2) (neg x)) y) (+ (* (/ x y) 1/2) (neg x)) (/ x y) (neg x) (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (+ 1/8 (/ (- 1/2 y) x)) 1/8 (/ (- 1/2 y) x) (- 1/2 y) (* x x) (- (log (+ 1 (exp x))) (* x y)) (- (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2)))) (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (pow (* (- 1/2 y) x) 2) (* (- 1/2 y) x) (- 1/2 y) 2 (- (* (- 1/2 y) x) (log 2)) (log 2) (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) (pow (log 2) 2))
10.0ms	x	@	0	((- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (log (+ 1 (pow (exp x) 3))) (pow (exp x) 3) (+ (* (+ (* 9/2 x) 3) x) 1) (+ (* 9/2 x) 3) 9/2 x 3 1 (log (+ 1 (* (exp x) (- (exp x) 1)))) (* (+ 1 x) x) (+ 1 x) (* x y) y (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (* 1/2 x) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (* (+ (* (/ x y) 1/2) (neg x)) y) (+ (* (/ x y) 1/2) (neg x)) (/ x y) (neg x) (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (+ 1/8 (/ (- 1/2 y) x)) 1/8 (/ (- 1/2 y) x) (- 1/2 y) (* x x) (- (log (+ 1 (exp x))) (* x y)) (- (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2)))) (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (pow (* (- 1/2 y) x) 2) (* (- 1/2 y) x) (- 1/2 y) 2 (- (* (- 1/2 y) x) (log 2)) (log 2) (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) (pow (log 2) 2))

rewrite209.0ms (4.7%)

Memory

32.6MiB live, 301.0MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	975	7664
0	1009	6810
1	6038	6804
0	8267	6412

Stop Event

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

Counts

265 → 365

Calls

Call 1

Inputs
(-.f64 (-.f64 (log1p.f64 #s(approx (pow (exp x) 3) (fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 3 binary64)) x #s(literal 1 binary64)))) #s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) (.f64 (+.f64 #s(literal 1 binary64) x) x))) (.f64 x y))
(-.f64 (log1p.f64 #s(approx (pow (exp x) 3) (fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 3 binary64)) x #s(literal 1 binary64)))) #s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) (*.f64 (+.f64 #s(literal 1 binary64) x) x)))
(log1p.f64 #s(approx (pow (exp x) 3) (fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 3 binary64)) x #s(literal 1 binary64))))
#s(approx (pow (exp x) 3) (fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 3 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 3 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 9/2 binary64) x #s(literal 3 binary64))
#s(literal 9/2 binary64)
x
#s(literal 3 binary64)
#s(literal 1 binary64)
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) (*.f64 (+.f64 #s(literal 1 binary64) x) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) x)
(*.f64 x y)
y
#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 (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y)))
#s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y)
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x))
(/.f64 x y)
(neg.f64 x)
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (.f64 x x))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (.f64 x x)))
(.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (.f64 x x))
(+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))
#s(literal 1/8 binary64)
(/.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(-.f64 #s(literal 1/2 binary64) y)
(*.f64 x x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (-.f64 (/.f64 (pow.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))))
(/.f64 (pow.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64))))
(pow.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))
(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(literal 2 binary64)
(-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
(/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64))))
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (log 2)))
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#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) #s(hole binary64 (log 2)))
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#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (log 2)))
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#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (+ (log 2) (* x (+ 3/2 (* 9/8 x))))))
#s(approx (log (+ 1 (pow (exp x) 3))) #s(hole binary64 (+ (log 2) (* x (+ 3/2 (* x (+ 9/8 (* -27/64 (pow x 2)))))))))
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#s(approx (pow (exp x) 3) #s(hole binary64 (+ 1 (* x (+ 3 (* 9/2 x))))))
#s(approx (pow (exp x) 3) #s(hole binary64 (+ 1 (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))))))
#s(approx (+ (* (+ (* 9/2 x) 3) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 9/2 x) 3) x) 1) #s(hole binary64 (+ 1 (* 3 x))))
#s(approx (+ (* (+ (* 9/2 x) 3) x) 1) #s(hole binary64 (+ 1 (* x (+ 3 (* 9/2 x))))))
#s(approx (+ (* 9/2 x) 3) #s(hole binary64 3))
#s(approx (+ (* 9/2 x) 3) #s(hole binary64 (+ 3 (* 9/2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) #s(hole binary64 x))
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#s(approx (* (+ 1 x) x) #s(hole binary64 x))
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#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (* x y) #s(hole binary64 (* x 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)))))
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#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)))
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#s(approx (* (- 1/2 y) x) #s(hole binary64 (* x (- 1/2 y))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (/ x y) 1/2) (neg x)) y) #s(hole binary64 (* x (* y (- (* 1/2 (/ 1 y)) 1)))))
#s(approx (+ (* (/ x y) 1/2) (neg x)) #s(hole binary64 (* x (- (* 1/2 (/ 1 y)) 1))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
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#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 (/ (- 1/2 y) x)) (* x x)) #s(hole binary64 (* x (- 1/2 y))))
#s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) #s(hole binary64 (* x (- (+ 1/2 (* 1/8 x)) y))))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) #s(hole binary64 (/ (- 1/2 y) x)))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) #s(hole binary64 (/ (- (+ 1/2 (* 1/8 x)) y) x)))
#s(approx (/ (- 1/2 y) x) #s(hole binary64 (/ (- 1/2 y) x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (log 2)))
#s(approx (- (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (- (* x (- 1/2 y)) (* -1 (log 2)))))
#s(approx (- (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (- (* x (- (+ 1/2 (* x (+ (* -1 (/ (* (- 1/2 y) (- y 1/2)) (log 2))) (* -1 (/ (pow (- 1/2 y) 2) (log 2)))))) y)) (* -1 (log 2)))))
#s(approx (- (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (- (* x (- (+ 1/2 (* x (+ (* -1 (/ (* (- 1/2 y) (- y 1/2)) (log 2))) (+ (* -1 (/ (pow (- 1/2 y) 2) (log 2))) (* x (- (* -1 (/ (* (pow (- 1/2 y) 2) (- y 1/2)) (pow (log 2) 2))) (/ (pow (- 1/2 y) 3) (pow (log 2) 2)))))))) y)) (* -1 (log 2)))))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) #s(hole binary64 (* -1 (/ (* (pow x 2) (pow (- 1/2 y) 2)) (log 2)))))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (* x (pow (- 1/2 y) 3)) (pow (log 2) 2))) (* -1 (/ (pow (- 1/2 y) 2) (log 2)))))))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (pow (- 1/2 y) 2) (log 2))) (* x (- (* -1 (/ (* x (pow (- 1/2 y) 4)) (pow (log 2) 3))) (/ (pow (- 1/2 y) 3) (pow (log 2) 2))))))))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (pow (- 1/2 y) 2) (log 2))) (* x (- (* x (- (* -1 (/ (* x (pow (- 1/2 y) 5)) (pow (log 2) 4))) (/ (pow (- 1/2 y) 4) (pow (log 2) 3)))) (/ (pow (- 1/2 y) 3) (pow (log 2) 2))))))))
#s(approx (pow (* (- 1/2 y) x) 2) #s(hole binary64 (* (pow x 2) (pow (- 1/2 y) 2))))
#s(approx (- (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (log 2))))
#s(approx (- (* (- 1/2 y) x) (log 2)) #s(hole binary64 (- (* x (- 1/2 y)) (log 2))))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) #s(hole binary64 (* -1 (log 2))))
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#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) #s(hole binary64 (+ (* -1 (log 2)) (* x (- (+ y (/ (* x (* (- 1/2 y) (- y 1/2))) (log 2))) 1/2)))))
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#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) #s(hole binary64 (* -1 (* x y))))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) #s(hole binary64 (* y (- (+ (* -1 x) (+ (/ x y) (/ (log 2) y))) (* 1/2 (/ x y))))))
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#s(approx (pow (* (- 1/2 y) x) 2) #s(hole binary64 (* (pow x 2) (pow y 2))))
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#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) #s(hole binary64 (/ (- (+ (* -1 (/ (* (pow (log 2) 2) (pow (- (* 1/2 x) (log 2)) 2)) (* (pow x 3) (pow y 2)))) (* -1 (/ (pow (log 2) 2) x))) (/ (* (pow (log 2) 2) (- (* 1/2 x) (log 2))) (* (pow x 2) y))) y)))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) #s(hole binary64 (/ (- (+ (* -1 (/ (* (pow (log 2) 2) (pow (- (* 1/2 x) (log 2)) 3)) (* (pow x 4) (pow y 3)))) (* -1 (/ (pow (log 2) 2) x))) (+ (/ (* (pow (log 2) 2) (- (* 1/2 x) (log 2))) (* (pow x 2) y)) (/ (* (pow (log 2) 2) (pow (- (* 1/2 x) (log 2)) 2)) (* (pow x 3) (pow y 2))))) y)))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) y)) (* -1 x))))))
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#s(approx (* (- 1/2 y) x) #s(hole binary64 (* -1 (* y (+ x (* -1/2 (/ x y)))))))
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#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)))))))
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Outputs
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#s(literal 9/2 binary64)
x
#s(literal 3 binary64)
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#s(approx (+ (* (- 1/2 y) x) (log 2)) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 y #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))) x #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 y #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) (.f64 (-.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 y #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) x)) x #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (neg.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (.f64 (.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))) (*.f64 x x)))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (.f64 (fma.f64 (-.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 4 binary64)) x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) x (neg.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))) (*.f64 x x)))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 5 binary64)) x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) x) (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) x (neg.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))) (.f64 x x)))
#s(approx (pow (* (- 1/2 y) x) 2) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)))
#s(approx (- (* (- 1/2 y) x) (log 2)) (log.f64 #s(literal 1/2 binary64)))
#s(approx (- (* (- 1/2 y) x) (log 2)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64))))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) (log.f64 #s(literal 1/2 binary64)))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) (fma.f64 (-.f64 y #s(literal 1/2 binary64)) x (log.f64 #s(literal 1/2 binary64))))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) (fma.f64 (-.f64 (fma.f64 x (/.f64 (*.f64 (-.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))) y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 1/2 binary64))))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 (.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) x) (-.f64 y #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 (-.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))))) x y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 1/2 binary64))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (.f64 (-.f64 (/.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) x) (+.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) x) y)) x))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x)))))
#s(approx (log (+ 1 (pow (exp x) 3))) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))))
#s(approx (pow (exp x) 3) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))
#s(approx (+ (* (+ (* 9/2 x) 3) x) 1) (.f64 (.f64 x x) #s(literal 9/2 binary64)))
#s(approx (+ (* (+ (* 9/2 x) 3) x) 1) (.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 9/2 binary64)) (.f64 x x)))
#s(approx (+ (* (+ (* 9/2 x) 3) x) 1) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 9/2 binary64)) (pow.f64 x #s(literal -2 binary64))) (.f64 x x)))
#s(approx (+ (* 9/2 x) 3) (*.f64 #s(literal 9/2 binary64) x))
#s(approx (+ (* 9/2 x) 3) (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 9/2 binary64)) x))
#s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))))
#s(approx (* (+ 1 x) x) (*.f64 x x))
#s(approx (* (+ 1 x) x) (.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (+ 1 x) x)
#s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) 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 (log1p.f64 (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 (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (.f64 (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) x) x))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 x x))) (/.f64 y x)) (*.f64 x x)))
#s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (.f64 (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) x) x))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) #s(literal 1/8 binary64))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (-.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) y))) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1/2 binary64)) (+.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) x) y)) x))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) x) y))) x))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) y)))) 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 1/2 binary64)) x) #s(literal 1/2 binary64)) y) x))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) (/.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) x) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) y))) x))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (.f64 x x))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) y))) (/.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) x))) x))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 5 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) y))) (/.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) x))) (neg.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (.f64 x x))))) x))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (.f64 (neg.f64 x) (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x)))) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (neg.f64 y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 1/2 binary64)) x))))
#s(approx (* (+ (* (/ x y) 1/2) (neg x)) y) (.f64 (neg.f64 x) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)))
#s(approx (+ (* (/ x y) 1/2) (neg x)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 1/2 binary64)) x)) x) #s(literal -1 binary64) #s(literal 1/8 binary64)) (.f64 x x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 1/2 binary64)) x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))) x) #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) y)))))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 1/2 binary64)) x))))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64))) x) #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) y)))))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) x)) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) y))) x) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) x) #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) y)))))
#s(approx (- (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64) (/.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) x))) x)))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) x) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) x) #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) y)))) x)))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 5 binary64)) x) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)))) x)) (/.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) x) #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) y)))) x)))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x)))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (-.f64 (fma.f64 (neg.f64 x) y (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x)))))
#s(approx y y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))))
#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 (* (+ (* (/ x y) 1/2) (neg x)) y) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* (/ x y) 1/2) (neg x)) y) (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (/ x y) 1/2) (neg x)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ x y) 1/2) (neg x)) (/.f64 (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)) y))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x)) (log.f64 #s(literal 2 binary64))))
#s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (.f64 x x)))
#s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (.f64 x x) (.f64 (neg.f64 x) y)))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) (+.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/8 binary64)))
#s(approx (/ (- 1/2 y) x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1/2 y) x) (fma.f64 (/.f64 y x) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(approx (- 1/2 y) (fma.f64 #s(literal -1 binary64) y #s(literal 1/2 binary64)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (-.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))) y (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (-.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))) (.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (.f64 x (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))) (neg.f64 (.f64 x (/.f64 (-.f64 (/.f64 (neg.f64 (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))))) y)) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) y (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (-.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))) (.f64 (fma.f64 (/.f64 (pow.f64 (.f64 x (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (fma.f64 (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) #s(literal 4 binary64))) (.f64 x (/.f64 (-.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64)))) (neg.f64 (.f64 x (/.f64 (-.f64 (/.f64 (neg.f64 (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))))) y (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))) (neg.f64 (.f64 x (/.f64 (-.f64 (/.f64 (neg.f64 (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64)))))))) y)) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) y (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64)))))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (fma.f64 (-.f64 (/.f64 (neg.f64 (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) y (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64)))) (neg.f64 (.f64 x (/.f64 (-.f64 (/.f64 (neg.f64 (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))))) y (/.f64 (neg.f64 (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) y (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (.f64 y x) (-.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64)))) (neg.f64 (.f64 x (/.f64 (-.f64 (/.f64 (neg.f64 (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))))) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64)))) (neg.f64 (.f64 x (/.f64 (-.f64 (/.f64 (neg.f64 (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))))) y (/.f64 (neg.f64 (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) y (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))))
#s(approx (pow (* (- 1/2 y) x) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
#s(approx (pow (* (- 1/2 y) x) 2) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (neg.f64 (.f64 (*.f64 x x) y))))
#s(approx (pow (* (- 1/2 y) x) 2) (fma.f64 (fma.f64 (.f64 x x) y (neg.f64 (.f64 x x))) y (.f64 #s(literal 1/4 binary64) (.f64 x x))))
#s(approx (- (* (- 1/2 y) x) (log 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))
#s(approx (- (* (- 1/2 y) x) (log 2)) (fma.f64 (neg.f64 x) y (-.f64 (*.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64)))))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64)))))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) (fma.f64 x (/.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) y) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) (fma.f64 (-.f64 (/.f64 (.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) y) (.f64 x x)) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (neg.f64 (/.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) x) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))) y (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) (fma.f64 (-.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (.f64 x (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))) y) (neg.f64 (/.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) x) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))) y (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (.f64 (-.f64 (/.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) y) (+.f64 (/.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) y) x)) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 x) y))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) y))
#s(approx (* (- 1/2 y) x) (*.f64 (neg.f64 x) y))
#s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))
#s(approx (* (+ (* (/ x y) 1/2) (neg x)) y) (*.f64 (neg.f64 x) y))
#s(approx (* (+ (* (/ x y) 1/2) (neg x)) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))
#s(approx (+ (* (/ x y) 1/2) (neg x)) (neg.f64 x))
#s(approx (+ (* (/ x y) 1/2) (neg x)) (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))
#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 (fma.f64 #s(literal -1 binary64) x (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y)) y))
#s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (*.f64 (neg.f64 x) y))
#s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (.f64 (fma.f64 (.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (neg.f64 x)) y))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) (/.f64 (neg.f64 y) x))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (pow.f64 x #s(literal -1 binary64))) y))
#s(approx (/ (- 1/2 y) x) (/.f64 (neg.f64 y) x))
#s(approx (/ (- 1/2 y) x) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) (pow.f64 x #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 (fma.f64 #s(literal -1 binary64) x (/.f64 (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 1/2 binary64) x)) y)) y))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 x (.f64 y y)) #s(literal -1/4 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) x) y)) (neg.f64 x)) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 y y) x))) #s(literal -1 binary64) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 (/.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) x) (.f64 y y)))))) y))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (-.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 (/.f64 x (.f64 y y)) #s(literal -1/4 binary64) (+.f64 (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) x) y) (.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64))))))) (fma.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x (.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 1/2 binary64) x)) x)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) (.f64 (pow.f64 y #s(literal 3 binary64)) x))) #s(literal -1 binary64) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 y y) x))) #s(literal -1 binary64) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 (/.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) x) (.f64 y y))))))) y))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (*.f64 (neg.f64 x) y))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 1/2 binary64) x)) y)) y))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 x (.f64 y y)) #s(literal -1/4 binary64) (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) x) y)) (neg.f64 x)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (*.f64 y y) x)))))) y))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (.f64 (fma.f64 #s(literal -1 binary64) x (-.f64 (fma.f64 (/.f64 x (.f64 y y)) #s(literal -1/4 binary64) (+.f64 (/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) x) y) (.f64 (fma.f64 #s(literal -1/4 binary64) x (.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 1/2 binary64) x)) x)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) (.f64 (pow.f64 y #s(literal 3 binary64)) x))))) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 y y) x))))))) y))
#s(approx (pow (* (- 1/2 y) x) 2) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
#s(approx (pow (* (- 1/2 y) x) 2) (.f64 (fma.f64 x x (neg.f64 (/.f64 (.f64 x x) y))) (*.f64 y y)))
#s(approx (pow (* (- 1/2 y) x) 2) (.f64 (fma.f64 (/.f64 (.f64 x x) y) #s(literal -1 binary64) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/4 binary64) (.f64 x x))) (.f64 y y)))
#s(approx (- (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 x) y))
#s(approx (- (* (- 1/2 y) x) (log 2)) (.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) y)) y))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) (neg.f64 (/.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) x) y)))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) y) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) x)) y)))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 y y) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64) (-.f64 (neg.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) x)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (.f64 x x) y)))) y))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) x))) (fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) (.f64 (.f64 x x) y)) (/.f64 (pow.f64 (.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 y y) (pow.f64 x #s(literal 3 binary64)))))) y))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (.f64 (neg.f64 y) (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x)))) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (-.f64 (neg.f64 (/.f64 (log1p.f64 (exp.f64 x)) y)) (neg.f64 x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) #s(literal -1 binary64) x)))
#s(approx (* (- 1/2 y) x) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) x)))
#s(approx (* (+ (* (/ x y) 1/2) (neg x)) y) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) x)))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (neg.f64 y) (fma.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) #s(literal -1 binary64) x)))
#s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (.f64 (neg.f64 y) (fma.f64 (.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y)) #s(literal -1 binary64) x)))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (/ (- 1/2 y) x) (*.f64 (neg.f64 y) (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) y))))
#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) (fma.f64 (/.f64 (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 1/2 binary64) x)) y) #s(literal -1 binary64) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (neg.f64 y) (fma.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 (fma.f64 (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) x)) y) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) x) (*.f64 #s(literal 1/2 binary64) x)) y) #s(literal -1 binary64) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (neg.f64 y) (fma.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) x (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 x x)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 1/2 binary64) x)) x))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) x))) y))) (/.f64 (fma.f64 (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) x)) y) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) x) (*.f64 #s(literal 1/2 binary64) x)) y) #s(literal -1 binary64) x)))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (.f64 (neg.f64 y) (fma.f64 (/.f64 (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 1/2 binary64) x)) y) #s(literal -1 binary64) x)))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (.f64 (neg.f64 y) (fma.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 1/2 binary64) x)) x))) y) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) x) (.f64 #s(literal 1/2 binary64) x)) y) #s(literal -1 binary64) x)))
#s(approx (/ (pow (* (- 1/2 y) x) 2) (- (* (- 1/2 y) x) (log 2))) (.f64 (neg.f64 y) (fma.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 1/2 binary64) x)) x))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) (.f64 y x)) (.f64 #s(literal 1/4 binary64) x)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 1/2 binary64) x)) x))) y) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) x) (.f64 #s(literal 1/2 binary64) x)) y) #s(literal -1 binary64) x)))
#s(approx (pow (* (- 1/2 y) x) 2) (.f64 (fma.f64 x x (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) y) #s(literal -1/4 binary64) (.f64 x x)) y))) (.f64 y y)))
#s(approx (- (* (- 1/2 y) x) (log 2)) (.f64 (neg.f64 y) (fma.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) y) #s(literal -1 binary64) x)))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) y) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) x)) y)))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) y))) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 x x))) y) #s(literal -1 binary64) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) x)) y)))
#s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) y))) (neg.f64 (/.f64 (pow.f64 (.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))) y)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (log.f64 #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 x x))) y) #s(literal -1 binary64) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) x)) y)))

eval74.0ms (1.7%)

Memory: -21.5MiB live, 119.3MiB allocated; 44ms collecting garbage
Compiler: Compiled 20 475 to 2 019 computations (90.1% saved)

prune25.0ms (0.6%)

Memory

15.3MiB live, 63.0MiB allocated; 1ms collecting garbage

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	410	9	419
Fresh	0	3	3
Picked	3	2	5
Done	0	5	5
Total	413	19	432

Accuracy

99.8%

Counts

432 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.6%	(-.f64 (-.f64 (log1p.f64 #s(approx (pow (exp x) 3) (fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 3 binary64)) x #s(literal 1 binary64)))) #s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) (.f64 (+.f64 #s(literal 1 binary64) x) x))) (.f64 x y))
	52.8%	#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* 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))))
	22.0%	#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x)) (.f64 x x))))
	6.2%	#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
	25.2%	#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (.f64 #s(approx (+ 1/8 (/ (- 1/2 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (.f64 x x))))
	32.6%	#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (.f64 #s(approx (+ 1/8 (/ (- 1/2 y) x)) (/.f64 (neg.f64 y) x)) (.f64 x x))))
	26.9%	#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (.f64 (fma.f64 (.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (neg.f64 x)) y))))
	29.5%	#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
✓	88.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
✓	50.1%	#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))))
	77.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (-.f64 (/.f64 (pow.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))) #s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) (fma.f64 (-.f64 y #s(literal 1/2 binary64)) x (log.f64 #s(literal 1/2 binary64))))))
	52.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (-.f64 (/.f64 (pow.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))) #s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) (log.f64 #s(literal 1/2 binary64)))))
✓	52.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
✓	49.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
	20.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x)))
✓	34.0%	#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)))
	3.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (.f64 #s(approx (+ ( (/ x y) 1/2) (neg x)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) y))))
	33.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (.f64 #s(approx (+ ( (/ x y) 1/2) (neg x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)) y))))
✓	3.6%	#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 1 735 to 679 computations (60.9% saved)

regimes41.0ms (0.9%)

Memory

3.7MiB live, 54.6MiB allocated; 19ms collecting garbage

Counts

30 → 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 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (.f64 #s(approx (+ ( (/ x y) 1/2) (neg x)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) y))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (.f64 #s(approx (+ 1/8 (/ (- 1/2 y) x)) (/.f64 (neg.f64 y) x)) (.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (.f64 #s(approx (+ ( (/ x y) 1/2) (neg x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #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 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (.f64 #s(approx (+ 1/8 (/ (- 1/2 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (.f64 x x))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x)) (.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x)))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (.f64 x x))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (.f64 (fma.f64 (.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (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)) (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)) (fma.f64 #s(approx (- 1/2 y) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* 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))))
#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 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (fma.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64))))
(-.f64 (-.f64 (log1p.f64 #s(approx (pow (exp x) 3) (fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 3 binary64)) x #s(literal 1 binary64)))) #s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) (.f64 (+.f64 #s(literal 1 binary64) x) x))) (.f64 x y))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) (.f64 (+.f64 #s(literal 1 binary64) x) x))) (.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (-.f64 (/.f64 (pow.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))) #s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) (log.f64 #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (-.f64 (/.f64 (pow.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))) #s(approx (/ (pow (log 2) 2) (- (* (- 1/2 y) x) (log 2))) (fma.f64 (-.f64 y #s(literal 1/2 binary64)) x (log.f64 #s(literal 1/2 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (-.f64 (/.f64 (pow.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.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 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 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 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64))))))
(-.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (exp.f64 x) (expm1.f64 x)))) (.f64 x y))

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

Calls

3 calls:

24.0ms	x
8.0ms	y
7.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

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

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes20.0ms (0.5%)

Memory

-2.4MiB live, 44.7MiB allocated; 1ms collecting garbage

Counts

23 → 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 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (.f64 #s(approx (+ ( (/ x y) 1/2) (neg x)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) y))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (.f64 #s(approx (+ 1/8 (/ (- 1/2 y) x)) (/.f64 (neg.f64 y) x)) (.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (.f64 #s(approx (+ ( (/ x y) 1/2) (neg x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #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 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (.f64 #s(approx (+ 1/8 (/ (- 1/2 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (.f64 x x))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x)) (.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x)))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (.f64 x x))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (.f64 (fma.f64 (.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (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)) (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)) (fma.f64 #s(approx (- 1/2 y) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* 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))))
#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 (pow (exp x) 3))) (log (+ 1 (* (exp x) (- (exp x) 1))))) (* x y)) (fma.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64))))
(-.f64 (-.f64 (log1p.f64 #s(approx (pow (exp x) 3) (fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 3 binary64)) x #s(literal 1 binary64)))) #s(approx (log (+ 1 (* (exp x) (- (exp x) 1)))) (.f64 (+.f64 #s(literal 1 binary64) x) x))) (.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

3 calls:

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

Results

Accuracy	Segments	Branch
98.8%	2	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
99.7%	2	`x`
88.3%	1	`y`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes6.0ms (0.1%)

Memory

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

Counts

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes11.0ms (0.3%)

Memory

-17.5MiB live, 29.0MiB allocated; 3ms collecting garbage

Counts

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

Outputs

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

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

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

Calls

2 calls:

6.0ms	x
4.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
98.5%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
86.9%	3	`x`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes5.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Counts

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

4.0ms

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

Results

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes14.0ms (0.3%)

Memory

-8.5MiB live, 38.4MiB allocated; 2ms collecting garbage

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
52.0%	1	`x`
52.0%	1	`y`
52.0%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes3.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #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:

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

Results

Accuracy	Segments	Branch
3.6%	1	`x`
3.6%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
3.6%	1	`y`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

bsearch15.0ms (0.3%)

Memory

-22.0MiB live, 27.5MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-8785263065974805.0	-37441301390.08885

Samples

6.0ms

144×

valid

Compiler

Compiled 291 to 254 computations (12.7% saved)

Precisions

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

ival-exp: 1.0ms (33.1% of total)

ival-log1p: 1.0ms (33.1% of total)

ival-mult!: 1.0ms (33.1% of total)

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

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-8785263065974805.0	-37441301390.08885

Compiler

Compiled 318 to 272 computations (14.5% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6931472658048445	91.9165973011617
0.0ms	0.0029224340428037595	0.6931471805465611

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6931472658048445	91.9165973011617
0.0ms	0.0029224340428037595	0.6931471805465611

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify47.0ms (1.1%)

Memory

7.9MiB live, 52.5MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	233
1	76	233
2	109	233
3	186	233
4	549	233
5	5061	233

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x #s(literal -38000000000 binary64)) #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)))))
(if (<=.f64 x #s(literal -38000000000 binary64)) #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) (neg.f64 y)) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* 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))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#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
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x #s(literal -38000000000 binary64)) #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)))))
(if (<=.f64 x #s(literal -38000000000 binary64)) #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) (neg.f64 y)) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* 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))))
(if (or (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 5764607523034235/1152921504606846976 binary64)) (not (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* 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)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))))
(if (or (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 5764607523034235/1152921504606846976 binary64)) (not (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* 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))
#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))))

derivations141.0ms (3.2%)

Memory

-7.1MiB live, 178.5MiB allocated; 26ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 233 to 52 computations (77.7% saved)

preprocess43.0ms (1%)

Memory: 9.1MiB live, 102.7MiB allocated; 7ms collecting garbage
Compiler: Compiled 536 to 156 computations (70.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze109.0ms (2.5%)

sample1.2s (27.6%)

explain132.0ms (3%)

preprocess304.0ms (6.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series89.0ms (2%)

rewrite157.0ms (3.6%)

eval21.0ms (0.5%)

prune5.0ms (0.1%)

series234.0ms (5.3%)

rewrite165.0ms (3.7%)

eval841.0ms (19.1%)

prune72.0ms (1.6%)

series65.0ms (1.5%)

rewrite186.0ms (4.2%)

eval35.0ms (0.8%)

prune17.0ms (0.4%)

series96.0ms (2.2%)

rewrite209.0ms (4.7%)

eval74.0ms (1.7%)

prune25.0ms (0.6%)

regimes41.0ms (0.9%)

regimes20.0ms (0.5%)

regimes6.0ms (0.1%)

regimes11.0ms (0.3%)

regimes5.0ms (0.1%)

regimes14.0ms (0.3%)

regimes3.0ms (0.1%)

bsearch15.0ms (0.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify47.0ms (1.1%)

derivations141.0ms (3.2%)

preprocess43.0ms (1%)

end0.0ms (0%)

Profiling