Metrics for Logistic regression 2

start0.0ms (0%)

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

analyze129.0ms (4.1%)

Memory

28.1MiB live, 120.3MiB allocated; 7ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.1s (34%)

Memory

28.7MiB live, 1 332.8MiB allocated; 226ms collecting garbage

Samples

457.0ms	8 256×	0	valid
242.0ms	2 583×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 418.0ms

ival-log1p: 116.0ms (27.8% of total)

adjust: 107.0ms (25.6% of total)

ival-exp: 103.0ms (24.7% of total)

ival-mult!: 65.0ms (15.6% of total)

ival-sub!: 27.0ms (6.5% of total)

Bogosity

explain99.0ms (3.1%)

Memory

-16.2MiB live, 135.6MiB allocated; 28ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
1	89	(-3.1912250478639906e+247 4.90185876762404e-31)	-	`(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	1	0
↳	`(exp.f64 x)`	overflow	1
↳	`(+.f64 #s(literal 1 binary64) (exp.f64 x))`	overflow	1

Confusion

	Predicted +	Predicted -
+	1	0
-	89	166

Precision

0.011111111111111112

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	89	0	166

Precision?

0.011111111111111112

Recall?

1.0

Freqs

test

number	freq
0	166
1	90

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-exp: 5.0ms (31.7% of total)

ival-log1p: 5.0ms (31.7% of total)

ival-mult!: 3.0ms (19% of total)

ival-sub!: 1.0ms (6.3% of total)

ival-add!: 1.0ms (6.3% of total)

adjust: 0.0ms (0% of total)

preprocess38.0ms (1.2%)

Memory

-12.5MiB live, 33.0MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Compiler

Compiled 18 to 16 computations (11.1% saved)

series60.0ms (1.9%)

Memory

30.0MiB live, 79.1MiB allocated; 8ms collecting garbage

Counts

8 → 29

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	x	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
26.0ms	x	@	inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
3.0ms	y	@	0	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
2.0ms	y	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
1.0ms	y	@	inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)

rewrite142.0ms (4.5%)

Memory

-11.9MiB live, 121.6MiB allocated; 11ms 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)))

eval9.0ms (0.3%)

Memory: 12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 326 to 325 computations (75.5% saved)

prune6.0ms (0.2%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	76	9	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	9	86

Accuracy

99.7%

Counts

86 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.2%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 x y))
▶	88.5%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
▶	72.6%	#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))))
	74.1%	#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))))
	80.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
▶	99.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y))
▶	49.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
	52.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
	51.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 288 to 234 computations (18.8% saved)

series93.0ms (2.9%)

Memory

-11.9MiB live, 131.3MiB allocated; 15ms collecting garbage

Counts

30 → 98

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
30.0ms	y	@	inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (exp x) x y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (* x y) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (+ 2 x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (* x x) -1/192 1/8 (- 1/2 y) 1/2 (log 2))
18.0ms	y	@	0	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (exp x) x y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (* x y) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (+ 2 x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (* x x) -1/192 1/8 (- 1/2 y) 1/2 (log 2))
17.0ms	x	@	inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (exp x) x y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (* x y) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (+ 2 x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (* x x) -1/192 1/8 (- 1/2 y) 1/2 (log 2))
14.0ms	y	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (exp x) x y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (* x y) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (+ 2 x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (* x x) -1/192 1/8 (- 1/2 y) 1/2 (log 2))
9.0ms	x	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (exp x) x y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (* x y) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (+ 2 x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (* x x) -1/192 1/8 (- 1/2 y) 1/2 (log 2))

rewrite180.0ms (5.7%)

Memory

32.3MiB live, 213.2MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	327	2034
0	355	1922
1	1757	1903
0	9057	1850

Stop Event

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

Counts

128 → 249

Calls

Call 1

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

Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))))
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (/.f64 (*.f64 x x) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (fma.f64 x x (.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (fma.f64 x x (.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(/.f64 (neg.f64 (neg.f64 (log1p.f64 (exp.f64 x)))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (log1p.f64 (exp.f64 x))) (neg.f64 y))
(/.f64 (log1p.f64 (exp.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 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 x)))))
(log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.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
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
(.f64 #s(literal -1 binary64) (.f64 y x))
(*.f64 (neg.f64 x) y)
(.f64 (.f64 y x) #s(literal -1 binary64))
(*.f64 y (neg.f64 x))
(neg.f64 (*.f64 y x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(/.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) y) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 (neg.f64 x) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 y x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (+.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 y x)))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 y x)))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 y x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (+.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 y x))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 y x))))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 y x))))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 y x))
(+.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 (neg.f64 x) y))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 y x)
(*.f64 x y)
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(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))
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y))
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(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x) (-.f64 #s(literal 1/2 binary64) y))) (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x) (-.f64 #s(literal 1/2 binary64) y))))
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(-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y)
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(+.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x) (-.f64 #s(literal 1/2 binary64) y))
(+.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x))
(+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x) y))
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(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
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(-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/192 binary64) (.f64 x x)))
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(+.f64 (.f64 (.f64 x x) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
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(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
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(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
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(pow.f64 x #s(literal 2 binary64))
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(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal -1/192 binary64)
#s(literal 1/8 binary64)
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(-.f64 #s(literal 1/2 binary64) y)
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(+.f64 (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
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#s(approx x x)
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#s(approx (* x y) (*.f64 y x))
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#s(approx (+ 2 x) (+.f64 #s(literal 2 binary64) x))
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#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y))
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#s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64))
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#s(approx (* x x) (*.f64 x x))
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#s(approx (exp x) (exp.f64 x))
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#s(approx (+ 2 x) x)
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#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/192 binary64)))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 1/192 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64)))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/192 binary64))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* x x) -1/192) 1/8) (.f64 (.f64 x x) #s(literal -1/192 binary64)))
#s(approx (+ (* (* x x) -1/192) 1/8) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/192 binary64)) (*.f64 x x)))
#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 (* (- (/ (log (+ 1 (exp x))) y) x) y) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal -1 binary64) y)))
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (.f64 (neg.f64 x) (fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 1/2 binary64)) x)) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/192 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1/192 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #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 (* (- (/ (log (+ 1 (exp x))) y) x) y) (log1p.f64 (exp.f64 x)))
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))))
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (/.f64 (log1p.f64 (exp.f64 x)) y))
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (/.f64 (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) y))
#s(approx y y)
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (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 (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+.f64 (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 (.f64 (neg.f64 x) y)) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (neg.f64 y)) #s(literal 1/2 binary64)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(approx (- 1/2 y) (fma.f64 #s(literal -1 binary64) 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 (* (- (/ (log (+ 1 (exp x))) y) x) y) (*.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (log1p.f64 (exp.f64 x)) y)) y))
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (neg.f64 x) y))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (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))) y)) y))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y))
#s(approx (- 1/2 y) (neg.f64 y))
#s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (-.f64 (neg.f64 (/.f64 (log1p.f64 (exp.f64 x)) y)) (neg.f64 x))))
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (exp.f64 x)) y) x)))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (.f64 (neg.f64 y) (fma.f64 (/.f64 (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))) y) #s(literal -1 binary64) x)))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64))))
#s(approx (- 1/2 y) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))

eval27.0ms (0.8%)

Memory: 4.0MiB live, 49.2MiB allocated; 3ms collecting garbage
Compiler: Compiled 7 914 to 1 135 computations (85.7% saved)

prune23.0ms (0.7%)

Memory

-40.1MiB live, 18.1MiB allocated; 19ms collecting garbage

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	223	6	229
Fresh	1	3	4
Picked	2	3	5
Done	0	0	0
Total	226	12	238

Accuracy

99.7%

Counts

238 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.2%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 x y))
	7.2%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(approx (+ 2 x) x))) (*.f64 x y))
✓	88.5%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
	57.3%	#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 #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
	74.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
▶	80.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
▶	99.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (-.f64 (/.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (exp.f64 x))))) y) x) y))
▶	88.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) x) y))
✓	49.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
▶	72.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y))
	52.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
▶	51.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 450 to 342 computations (24% saved)

series294.0ms (9.3%)

Memory

33.3MiB live, 400.4MiB allocated; 47ms collecting garbage

Counts

41 → 174

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (-.f64 (/.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (exp.f64 x))))) y) x) y))
(.f64 (-.f64 (/.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (exp.f64 x))))) y) x) y)
(-.f64 (/.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 x))))) y) x)
(/.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 x))))) y)
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.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 (pow.f64 (exp.f64 x) #s(literal 2 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)))
(pow.f64 (exp.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) x) y))
(*.f64 (-.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) x) y)
(-.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) x)
(/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y)
(log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y))
(.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y)
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(fma.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))
(-.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64))
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(*.f64 x x)
#s(literal -1/192 binary64)
#s(literal 1/8 binary64)
(/.f64 (log.f64 #s(literal 2 binary64)) y)

Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (* (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) y) #s(hole binary64 (log 2)))
#s(approx (* (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) y) #s(hole binary64 (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1))))))
#s(approx (* (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1)))))))
#s(approx (* (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1)))))))
#s(approx (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) #s(hole binary64 (/ (log 2) y)))
#s(approx (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y))))
#s(approx (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y))))
#s(approx (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y))))
#s(approx (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) #s(hole binary64 (/ (log 2) y)))
#s(approx (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) #s(hole binary64 (+ (* 1/2 (/ x y)) (/ (log 2) y))))
#s(approx (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) #s(hole binary64 (+ (* x (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))) (/ (log 2) y))))
#s(approx (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ (log 2) y))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) #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 (- (pow (exp x) 2) (* 1 (exp x))))) #s(hole binary64 x))
#s(approx (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x))))) #s(hole binary64 (* x (+ 1 x))))
#s(approx (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x))))) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* -5/12 (pow x 2))))))))
#s(approx (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x))))) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* (pow x 2) (- (* 91/360 (pow x 2)) 5/12))))))))
#s(approx (- (pow (exp x) 2) (* 1 (exp x))) #s(hole binary64 x))
#s(approx (- (pow (exp x) 2) (* 1 (exp x))) #s(hole binary64 (* x (+ 1 (* 3/2 x)))))
#s(approx (- (pow (exp x) 2) (* 1 (exp x))) #s(hole binary64 (* x (+ 1 (* x (+ 3/2 (* 7/6 x)))))))
#s(approx (- (pow (exp x) 2) (* 1 (exp x))) #s(hole binary64 (* x (+ 1 (* x (+ 3/2 (* x (+ 7/6 (* 5/8 x)))))))))
#s(approx (pow (exp x) 2) #s(hole binary64 1))
#s(approx (pow (exp x) 2) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (pow (exp x) 2) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (pow (exp x) 2) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (* 1 (exp x)) #s(hole binary64 1))
#s(approx (* 1 (exp x)) #s(hole binary64 (+ 1 x)))
#s(approx (* 1 (exp x)) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (* 1 (exp x)) #s(hole binary64 (+ 1 (* 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 (exp x))) y) x) y) #s(hole binary64 (log 2)))
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1))))))
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1)))))))
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1)))))))
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (log 2) y)))
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y))))
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y))))
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y))))
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (/ (log 2) y)))
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* 1/2 (/ x y)) (/ (log 2) y))))
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* x (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))) (/ (log 2) y))))
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ (log 2) y))))
#s(approx (log (+ 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 (+ (* (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (log 2) y)))
#s(approx (+ (* (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y))))
#s(approx (+ (* (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y))))
#s(approx (+ (* (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y))))
#s(approx (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) #s(hole binary64 (- (* 1/2 (/ 1 y)) 1)))
#s(approx (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) #s(hole binary64 (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)))
#s(approx (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) #s(hole binary64 (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)))
#s(approx (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) #s(hole binary64 (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))))
#s(approx (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) #s(hole binary64 (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 x))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (+ 1/8 (* -1/192 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) y) #s(hole binary64 (* -1 (* x y))))
#s(approx (* (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) y) #s(hole binary64 (* x (+ (* -1 y) (/ (* y (- (/ (log (+ 1 (pow (exp x) 3))) y) (/ (log (- (+ 1 (pow (exp x) 2)) (exp x))) y))) x)))))
#s(approx (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) #s(hole binary64 (* -1 x)))
#s(approx (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) #s(hole binary64 (* x (- (/ (log (+ 1 (pow (exp x) 3))) (* x y)) (+ 1 (/ (log (- (+ 1 (pow (exp x) 2)) (exp x))) (* x y)))))))
#s(approx (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) #s(hole binary64 (/ (- (log (+ 1 (pow (exp x) 3))) (log (- (+ 1 (pow (exp x) 2)) (exp x)))) y)))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) #s(hole binary64 (- (log (+ 1 (pow (exp x) 3))) (log (- (+ 1 (pow (exp x) 2)) (exp x))))))
#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 (- (pow (exp x) 2) (* 1 (exp x))))) #s(hole binary64 (log (- (+ 1 (pow (exp x) 2)) (exp x)))))
#s(approx (- (pow (exp x) 2) (* 1 (exp x))) #s(hole binary64 (- (pow (exp x) 2) (exp x))))
#s(approx (pow (exp x) 2) #s(hole binary64 (pow (exp x) 2)))
#s(approx (* 1 (exp x)) #s(hole binary64 (exp x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- 1/2 y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- (+ 1/2 (/ (log 2) x)) y))))
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* -1 (* x y))))
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))))
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* -1 x)))
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) (* x y)) 1))))
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (/ (log (+ 1 (exp x))) y)))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (+ (* (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* -1/192 (/ (pow x 4) y))))
#s(approx (+ (* (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* (pow x 4) (- (* 1/8 (/ 1 (* (pow x 2) y))) (* 1/192 (/ 1 y))))))
#s(approx (+ (* (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/8 (* (pow x 2) y)) (* 1/2 (/ 1 (* (pow x 3) y)))) (+ (* 1/192 (/ 1 y)) (/ 1 (pow x 3)))))))
#s(approx (+ (* (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/8 (* (pow x 2) y)) (+ (* 1/2 (/ 1 (* (pow x 3) y))) (/ (log 2) (* (pow x 4) y)))) (+ (* 1/192 (/ 1 y)) (/ 1 (pow x 3)))))))
#s(approx (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) #s(hole binary64 (* -1/192 (/ (pow x 3) y))))
#s(approx (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) #s(hole binary64 (* (pow x 3) (- (* 1/8 (/ 1 (* (pow x 2) y))) (* 1/192 (/ 1 y))))))
#s(approx (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/8 (* (pow x 2) y)) (* 1/2 (/ 1 (* (pow x 3) y)))) (+ (* 1/192 (/ 1 y)) (/ 1 (pow x 3)))))))
#s(approx (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) #s(hole binary64 (* -1/192 (/ (pow x 3) y))))
#s(approx (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) #s(hole binary64 (* (pow x 3) (- (* 1/8 (/ 1 (* (pow x 2) y))) (* 1/192 (/ 1 y))))))
#s(approx (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/8 (* (pow x 2) y)) (/ 1/2 (* (pow x 3) y))) (* 1/192 (/ 1 y))))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) #s(hole binary64 (* -1/192 (pow x 3))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1/192))))
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* -1/192 (pow x 2))))
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))))
#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 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) y) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (* y (- (/ (log (+ 1 (pow (exp x) 3))) y) (/ (log (- (+ 1 (pow (exp x) 2)) (exp x))) y))) x)))))))
#s(approx (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (/ (log (+ 1 (pow (exp x) 3))) y) (/ (log (- (+ 1 (pow (exp x) 2)) (exp x))) y)) x)))))))
#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 (exp x))) y) x) y) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))))
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))))
#s(approx (+ (* (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- (* 1/2 (/ 1 y)) 1)) (* -1 (/ (log 2) (* x y)))) (pow x 3))) (/ 1/8 (* (pow x 2) y))) (* 1/192 (/ 1 y))))))
#s(approx (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/192 (/ 1 y)) (* 1/8 (/ 1 (* (pow x 2) y))))))))
#s(approx (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (+ (* -1 (/ (- (* 1/2 (/ 1 y)) 1) (pow x 3))) (* 1/192 (/ 1 y))) (/ 1/8 (* (pow x 2) y)))))))
#s(approx (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/192 (/ 1 y)) (* 1/8 (/ 1 (* (pow x 2) y))))))))
#s(approx (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/8 (/ 1 y)) (* 1/2 (/ 1 (* x y)))) (pow x 2))) (* 1/192 (/ 1 y)))))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx (* (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) y) #s(hole binary64 (- (log (+ 1 (pow (exp x) 3))) (log (- (+ 1 (pow (exp x) 2)) (exp x))))))
#s(approx (* (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) y) #s(hole binary64 (- (+ (log (+ 1 (pow (exp x) 3))) (* -1 (* x y))) (log (- (+ 1 (pow (exp x) 2)) (exp x))))))
#s(approx (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) #s(hole binary64 (/ (- (log (+ 1 (pow (exp x) 3))) (log (- (+ 1 (pow (exp x) 2)) (exp x)))) y)))
#s(approx (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) #s(hole binary64 (/ (- (+ (log (+ 1 (pow (exp x) 3))) (* -1 (* x y))) (log (- (+ 1 (pow (exp x) 2)) (exp x)))) y)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))))
#s(approx (- 1/2 y) #s(hole binary64 1/2))
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y))))
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (log (+ 1 (exp x))) y)))
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) y)))
#s(approx (+ (* (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))
#s(approx (+ (* (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))) y)))
#s(approx (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) #s(hole binary64 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
#s(approx (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) #s(hole binary64 (/ (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))
#s(approx (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) #s(hole binary64 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
#s(approx (/ (log 2) y) #s(hole binary64 (/ (log 2) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (* (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) y) #s(hole binary64 (* y (- (+ (* -1 x) (/ (log (+ 1 (pow (exp x) 3))) y)) (/ (log (- (+ 1 (pow (exp x) 2)) (exp x))) y)))))
#s(approx (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) #s(hole binary64 (- (/ (log (+ 1 (pow (exp x) 3))) y) (+ x (/ (log (- (+ 1 (pow (exp x) 2)) (exp x))) y)))))
#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 (exp x))) y) x) y) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))))
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (- (/ (log (+ 1 (exp x))) y) x)))
#s(approx (+ (* (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))))
#s(approx (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) #s(hole binary64 -1))
#s(approx (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) #s(hole binary64 (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) 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 (* (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (log (+ 1 (pow (exp x) 3))) (log (- (+ 1 (pow (exp x) 2)) (exp x)))) y)))))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))))
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))))
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))))
#s(approx (+ (* (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* -1 x) (* -1 (/ (+ (* -1 (log 2)) (* -1 (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))) y)))))

Calls

6 calls:

Time	Variable		Point	Expression
97.0ms	y	@	0	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) y) (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) (log (+ 1 (pow (exp x) 3))) (pow (exp x) 3) (exp x) x 3 (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x))))) (- (pow (exp x) 2) (* 1 (exp x))) (pow (exp x) 2) 2 (* 1 (exp x)) 1 y (- (log (+ 1 (exp x))) (* x y)) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (+ (* (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) x) (/ (log 2) y)) (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) (+ (* (* x x) -1/192) 1/8) (* x x) -1/192 1/8 (/ (log 2) y))
49.0ms	x	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) y) (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) (log (+ 1 (pow (exp x) 3))) (pow (exp x) 3) (exp x) x 3 (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x))))) (- (pow (exp x) 2) (* 1 (exp x))) (pow (exp x) 2) 2 (* 1 (exp x)) 1 y (- (log (+ 1 (exp x))) (* x y)) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (+ (* (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) x) (/ (log 2) y)) (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) (+ (* (* x x) -1/192) 1/8) (* x x) -1/192 1/8 (/ (log 2) y))
48.0ms	y	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) y) (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) (log (+ 1 (pow (exp x) 3))) (pow (exp x) 3) (exp x) x 3 (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x))))) (- (pow (exp x) 2) (* 1 (exp x))) (pow (exp x) 2) 2 (* 1 (exp x)) 1 y (- (log (+ 1 (exp x))) (* x y)) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (+ (* (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) x) (/ (log 2) y)) (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) (+ (* (* x x) -1/192) 1/8) (* x x) -1/192 1/8 (/ (log 2) y))
46.0ms	y	@	inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) y) (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) (log (+ 1 (pow (exp x) 3))) (pow (exp x) 3) (exp x) x 3 (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x))))) (- (pow (exp x) 2) (* 1 (exp x))) (pow (exp x) 2) 2 (* 1 (exp x)) 1 y (- (log (+ 1 (exp x))) (* x y)) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (+ (* (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) x) (/ (log 2) y)) (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) (+ (* (* x x) -1/192) 1/8) (* x x) -1/192 1/8 (/ (log 2) y))
45.0ms	x	@	inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) y) (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) (log (+ 1 (pow (exp x) 3))) (pow (exp x) 3) (exp x) x 3 (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x))))) (- (pow (exp x) 2) (* 1 (exp x))) (pow (exp x) 2) 2 (* 1 (exp x)) 1 y (- (log (+ 1 (exp x))) (* x y)) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (+ (* (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) x) (/ (log 2) y)) (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) (+ (* (* x x) -1/192) 1/8) (* x x) -1/192 1/8 (/ (log 2) y))

rewrite179.0ms (5.7%)

Memory

19.9MiB live, 205.6MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	586	4662
0	635	3874
1	3330	3854
0	8930	3512

Stop Event

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

Counts

215 → 401

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (-.f64 (/.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (exp.f64 x))))) y) x) y))
(.f64 (-.f64 (/.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (exp.f64 x))))) y) x) y)
(-.f64 (/.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 x))))) y) x)
(/.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 x))))) y)
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.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 (pow.f64 (exp.f64 x) #s(literal 2 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)))
(pow.f64 (exp.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) x) y))
(*.f64 (-.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) x) y)
(-.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) x)
(/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y)
(log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y))
(.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y)
#s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)))
(fma.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))
(-.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64))
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(*.f64 x x)
#s(literal -1/192 binary64)
#s(literal 1/8 binary64)
(/.f64 (log.f64 #s(literal 2 binary64)) y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (* (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) y) #s(hole binary64 (log 2)))
#s(approx (* (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) y) #s(hole binary64 (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1))))))
#s(approx (* (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1)))))))
#s(approx (* (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1)))))))
#s(approx (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) #s(hole binary64 (/ (log 2) y)))
#s(approx (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y))))
#s(approx (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y))))
#s(approx (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y))))
#s(approx (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) #s(hole binary64 (/ (log 2) y)))
#s(approx (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) #s(hole binary64 (+ (* 1/2 (/ x y)) (/ (log 2) y))))
#s(approx (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) #s(hole binary64 (+ (* x (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))) (/ (log 2) y))))
#s(approx (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ (log 2) y))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) #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 (- (pow (exp x) 2) (* 1 (exp x))))) #s(hole binary64 x))
#s(approx (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x))))) #s(hole binary64 (* x (+ 1 x))))
#s(approx (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x))))) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* -5/12 (pow x 2))))))))
#s(approx (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x))))) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* (pow x 2) (- (* 91/360 (pow x 2)) 5/12))))))))
#s(approx (- (pow (exp x) 2) (* 1 (exp x))) #s(hole binary64 x))
#s(approx (- (pow (exp x) 2) (* 1 (exp x))) #s(hole binary64 (* x (+ 1 (* 3/2 x)))))
#s(approx (- (pow (exp x) 2) (* 1 (exp x))) #s(hole binary64 (* x (+ 1 (* x (+ 3/2 (* 7/6 x)))))))
#s(approx (- (pow (exp x) 2) (* 1 (exp x))) #s(hole binary64 (* x (+ 1 (* x (+ 3/2 (* x (+ 7/6 (* 5/8 x)))))))))
#s(approx (pow (exp x) 2) #s(hole binary64 1))
#s(approx (pow (exp x) 2) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (pow (exp x) 2) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (pow (exp x) 2) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (* 1 (exp x)) #s(hole binary64 1))
#s(approx (* 1 (exp x)) #s(hole binary64 (+ 1 x)))
#s(approx (* 1 (exp x)) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (* 1 (exp x)) #s(hole binary64 (+ 1 (* 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 (exp x))) y) x) y) #s(hole binary64 (log 2)))
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1))))))
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1)))))))
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1)))))))
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (log 2) y)))
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y))))
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y))))
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y))))
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (/ (log 2) y)))
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* 1/2 (/ x y)) (/ (log 2) y))))
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* x (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))) (/ (log 2) y))))
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ (log 2) y))))
#s(approx (log (+ 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 (+ (* (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (log 2) y)))
#s(approx (+ (* (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y))))
#s(approx (+ (* (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y))))
#s(approx (+ (* (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y))))
#s(approx (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) #s(hole binary64 (- (* 1/2 (/ 1 y)) 1)))
#s(approx (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) #s(hole binary64 (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)))
#s(approx (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) #s(hole binary64 (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)))
#s(approx (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) #s(hole binary64 (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))))
#s(approx (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) #s(hole binary64 (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 x))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (+ 1/8 (* -1/192 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) y) #s(hole binary64 (* -1 (* x y))))
#s(approx (* (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) y) #s(hole binary64 (* x (+ (* -1 y) (/ (* y (- (/ (log (+ 1 (pow (exp x) 3))) y) (/ (log (- (+ 1 (pow (exp x) 2)) (exp x))) y))) x)))))
#s(approx (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) #s(hole binary64 (* -1 x)))
#s(approx (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) #s(hole binary64 (* x (- (/ (log (+ 1 (pow (exp x) 3))) (* x y)) (+ 1 (/ (log (- (+ 1 (pow (exp x) 2)) (exp x))) (* x y)))))))
#s(approx (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) #s(hole binary64 (/ (- (log (+ 1 (pow (exp x) 3))) (log (- (+ 1 (pow (exp x) 2)) (exp x)))) y)))
#s(approx (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) #s(hole binary64 (- (log (+ 1 (pow (exp x) 3))) (log (- (+ 1 (pow (exp x) 2)) (exp x))))))
#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 (- (pow (exp x) 2) (* 1 (exp x))))) #s(hole binary64 (log (- (+ 1 (pow (exp x) 2)) (exp x)))))
#s(approx (- (pow (exp x) 2) (* 1 (exp x))) #s(hole binary64 (- (pow (exp x) 2) (exp x))))
#s(approx (pow (exp x) 2) #s(hole binary64 (pow (exp x) 2)))
#s(approx (* 1 (exp x)) #s(hole binary64 (exp x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- 1/2 y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- (+ 1/2 (/ (log 2) x)) y))))
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* -1 (* x y))))
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))))
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* -1 x)))
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) (* x y)) 1))))
#s(approx (/ (log (+ 1 (exp x))) y) #s(hole binary64 (/ (log (+ 1 (exp x))) y)))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (+ (* (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* -1/192 (/ (pow x 4) y))))
#s(approx (+ (* (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* (pow x 4) (- (* 1/8 (/ 1 (* (pow x 2) y))) (* 1/192 (/ 1 y))))))
#s(approx (+ (* (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/8 (* (pow x 2) y)) (* 1/2 (/ 1 (* (pow x 3) y)))) (+ (* 1/192 (/ 1 y)) (/ 1 (pow x 3)))))))
#s(approx (+ (* (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/8 (* (pow x 2) y)) (+ (* 1/2 (/ 1 (* (pow x 3) y))) (/ (log 2) (* (pow x 4) y)))) (+ (* 1/192 (/ 1 y)) (/ 1 (pow x 3)))))))
#s(approx (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) #s(hole binary64 (* -1/192 (/ (pow x 3) y))))
#s(approx (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) #s(hole binary64 (* (pow x 3) (- (* 1/8 (/ 1 (* (pow x 2) y))) (* 1/192 (/ 1 y))))))
#s(approx (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/8 (* (pow x 2) y)) (* 1/2 (/ 1 (* (pow x 3) y)))) (+ (* 1/192 (/ 1 y)) (/ 1 (pow x 3)))))))
#s(approx (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) #s(hole binary64 (* -1/192 (/ (pow x 3) y))))
#s(approx (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) #s(hole binary64 (* (pow x 3) (- (* 1/8 (/ 1 (* (pow x 2) y))) (* 1/192 (/ 1 y))))))
#s(approx (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/8 (* (pow x 2) y)) (/ 1/2 (* (pow x 3) y))) (* 1/192 (/ 1 y))))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) #s(hole binary64 (* -1/192 (pow x 3))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1/192))))
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* -1/192 (pow x 2))))
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))))
#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 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) y) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (* y (- (/ (log (+ 1 (pow (exp x) 3))) y) (/ (log (- (+ 1 (pow (exp x) 2)) (exp x))) y))) x)))))))
#s(approx (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (/ (log (+ 1 (pow (exp x) 3))) y) (/ (log (- (+ 1 (pow (exp x) 2)) (exp x))) y)) x)))))))
#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 (exp x))) y) x) y) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))))
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))))
#s(approx (+ (* (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- (* 1/2 (/ 1 y)) 1)) (* -1 (/ (log 2) (* x y)))) (pow x 3))) (/ 1/8 (* (pow x 2) y))) (* 1/192 (/ 1 y))))))
#s(approx (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/192 (/ 1 y)) (* 1/8 (/ 1 (* (pow x 2) y))))))))
#s(approx (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (+ (* -1 (/ (- (* 1/2 (/ 1 y)) 1) (pow x 3))) (* 1/192 (/ 1 y))) (/ 1/8 (* (pow x 2) y)))))))
#s(approx (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/192 (/ 1 y)) (* 1/8 (/ 1 (* (pow x 2) y))))))))
#s(approx (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/8 (/ 1 y)) (* 1/2 (/ 1 (* x y)))) (pow x 2))) (* 1/192 (/ 1 y)))))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx (* (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) y) #s(hole binary64 (- (log (+ 1 (pow (exp x) 3))) (log (- (+ 1 (pow (exp x) 2)) (exp x))))))
#s(approx (* (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) y) #s(hole binary64 (- (+ (log (+ 1 (pow (exp x) 3))) (* -1 (* x y))) (log (- (+ 1 (pow (exp x) 2)) (exp x))))))
#s(approx (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) #s(hole binary64 (/ (- (log (+ 1 (pow (exp x) 3))) (log (- (+ 1 (pow (exp x) 2)) (exp x)))) y)))
#s(approx (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) #s(hole binary64 (/ (- (+ (log (+ 1 (pow (exp x) 3))) (* -1 (* x y))) (log (- (+ 1 (pow (exp x) 2)) (exp x)))) y)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))))
#s(approx (- 1/2 y) #s(hole binary64 1/2))
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y))))
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (log (+ 1 (exp x))) y)))
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) y)))
#s(approx (+ (* (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))
#s(approx (+ (* (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (/ (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))) y)))
#s(approx (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) #s(hole binary64 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
#s(approx (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) #s(hole binary64 (/ (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))
#s(approx (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) #s(hole binary64 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
#s(approx (/ (log 2) y) #s(hole binary64 (/ (log 2) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (* (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) y) #s(hole binary64 (* y (- (+ (* -1 x) (/ (log (+ 1 (pow (exp x) 3))) y)) (/ (log (- (+ 1 (pow (exp x) 2)) (exp x))) y)))))
#s(approx (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) #s(hole binary64 (- (/ (log (+ 1 (pow (exp x) 3))) y) (+ x (/ (log (- (+ 1 (pow (exp x) 2)) (exp x))) y)))))
#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 (exp x))) y) x) y) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))))
#s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(hole binary64 (- (/ (log (+ 1 (exp x))) y) x)))
#s(approx (+ (* (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))))
#s(approx (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) #s(hole binary64 -1))
#s(approx (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) #s(hole binary64 (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) 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 (* (- (/ (- (log (+ 1 (pow (exp x) 3))) (log (+ 1 (- (pow (exp x) 2) (* 1 (exp x)))))) y) x) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (log (+ 1 (pow (exp x) 3))) (log (- (+ 1 (pow (exp x) 2)) (exp x)))) y)))))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))))
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))))
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))))
#s(approx (+ (* (- (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) x) (/ (log 2) y)) #s(hole binary64 (+ (* -1 x) (* -1 (/ (+ (* -1 (log 2)) (* -1 (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))) y)))))

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

eval51.0ms (1.6%)

Memory: 4.7MiB live, 96.5MiB allocated; 5ms collecting garbage
Compiler: Compiled 15 886 to 2 591 computations (83.7% saved)

prune13.0ms (0.4%)

Memory

-25.6MiB live, 20.9MiB allocated; 2ms collecting garbage

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	369	4	373
Fresh	1	3	4
Picked	3	2	5
Done	0	3	3
Total	373	12	385

Accuracy

99.7%

Counts

385 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.2%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 x y))
✓	88.5%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
▶	57.3%	#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 #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
▶	74.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
▶	52.2%	#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))))
✓	88.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) x) y))
✓	49.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
	57.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 #s(approx (- (/ (+ ( (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y))
	52.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
✓	51.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
▶	31.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
▶	86.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (*.f64 (fma.f64 y (/.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) (neg.f64 y)) x)))

Compiler

Compiled 473 to 346 computations (26.8% saved)

series154.0ms (4.9%)

Memory

0.6MiB live, 105.6MiB allocated; 139ms collecting garbage

Counts

32 → 119

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
96.0ms	x	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (* (+ (* y (/ (/ (log (+ 1 (exp x))) y) x)) (neg y)) x) (+ (* y (/ (/ (log (+ 1 (exp x))) y) x)) (neg y)) y (/ (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (exp x) x (neg y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) 1/8 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (* x x) -1/192)
16.0ms	y	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (* (+ (* y (/ (/ (log (+ 1 (exp x))) y) x)) (neg y)) x) (+ (* y (/ (/ (log (+ 1 (exp x))) y) x)) (neg y)) y (/ (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (exp x) x (neg y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) 1/8 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (* x x) -1/192)
15.0ms	x	@	inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (* (+ (* y (/ (/ (log (+ 1 (exp x))) y) x)) (neg y)) x) (+ (* y (/ (/ (log (+ 1 (exp x))) y) x)) (neg y)) y (/ (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (exp x) x (neg y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) 1/8 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (* x x) -1/192)
11.0ms	y	@	inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (* (+ (* y (/ (/ (log (+ 1 (exp x))) y) x)) (neg y)) x) (+ (* y (/ (/ (log (+ 1 (exp x))) y) x)) (neg y)) y (/ (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (exp x) x (neg y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) 1/8 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (* x x) -1/192)
10.0ms	y	@	0	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (* (+ (* y (/ (/ (log (+ 1 (exp x))) y) x)) (neg y)) x) (+ (* y (/ (/ (log (+ 1 (exp x))) y) x)) (neg y)) y (/ (/ (log (+ 1 (exp x))) y) x) (/ (log (+ 1 (exp x))) y) (log (+ 1 (exp x))) (exp x) x (neg y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) 1/8 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (* x x) -1/192)

rewrite223.0ms (7.1%)

Memory

-4.6MiB live, 178.7MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	365	2748
0	396	2618
1	1956	2597
0	9596	2473

Stop Event

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

Counts

151 → 286

Calls

Call 1

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

Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (.f64 (fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) y (neg.f64 y)) x)))
#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (.f64 (fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) y (neg.f64 y)) x))
(.f64 (fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) y (neg.f64 y)) x)
(.f64 x (fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) y (neg.f64 y)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) y) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) y) #s(literal 2 binary64)) (.f64 (neg.f64 y) (.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) y) #s(literal 2 binary64)) (.f64 y y))) (neg.f64 (-.f64 (.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) y) (neg.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) y) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) y) #s(literal 2 binary64)) (-.f64 (.f64 y y) (.f64 (.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) y) (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) y) #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) y) (neg.f64 y)))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) y) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) y) #s(literal 2 binary64)) (-.f64 (.f64 y y) (.f64 (.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) y) (neg.f64 y)))))
(fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) y (neg.f64 y))
(fma.f64 #s(literal -1 binary64) y (.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) y))
(fma.f64 y (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) (neg.f64 y))
(fma.f64 y #s(literal -1 binary64) (.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) y))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) y) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) y) (neg.f64 y))) (/.f64 (.f64 y y) (-.f64 (.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) y) (neg.f64 y))))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) y) #s(literal 2 binary64)) (-.f64 (.f64 y y) (.f64 (.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) y) (neg.f64 y))))) (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) y) #s(literal 2 binary64)) (-.f64 (.f64 y y) (.f64 (.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) y) (neg.f64 y))))))
(+.f64 (neg.f64 y) (.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) y))
(+.f64 (.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) y) (neg.f64 y))
y
(*.f64 (/.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal -1 binary64)))
(.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)))
(/.f64 (neg.f64 (neg.f64 (log1p.f64 (exp.f64 x)))) (neg.f64 (*.f64 (neg.f64 x) y)))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 (/.f64 (log1p.f64 (exp.f64 x)) y))) (.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 (log1p.f64 (exp.f64 x)) x)) (.f64 #s(literal 2 binary64) y))
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 (log1p.f64 (exp.f64 x)) y)) (.f64 #s(literal 2 binary64) x))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 (log1p.f64 (exp.f64 x)))) (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) y)))
(/.f64 (.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 x))) (.f64 #s(literal 2 binary64) (*.f64 y x)))
(/.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) (.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)))
(/.f64 (.f64 (neg.f64 (/.f64 (log1p.f64 (exp.f64 x)) y)) #s(literal 2 binary64)) (.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (.f64 y #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (*.f64 y x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (log1p.f64 (exp.f64 x)) y))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (log1p.f64 (exp.f64 x))) (*.f64 (neg.f64 x) y))
(/.f64 (neg.f64 (/.f64 (log1p.f64 (exp.f64 x)) y)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (neg.f64 y))
(/.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(/.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(/.f64 (neg.f64 (neg.f64 (log1p.f64 (exp.f64 x)))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (log1p.f64 (exp.f64 x))) (neg.f64 y))
(/.f64 (log1p.f64 (exp.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 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 x)))))
(log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.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
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(neg.f64 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 (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 y y (*.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 #s(literal 1/2 binary64) y))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 y y (*.f64 #s(literal 1/2 binary64) y))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) y)))
(-.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 y y (.f64 #s(literal 1/2 binary64) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 y y (.f64 #s(literal 1/2 binary64) y)))))
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) 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) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) 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) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) 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) #s(literal 1/2 binary64)) 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) #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)) (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 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) 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) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64))))))
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(-.f64 (/.f64 (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 3 binary64)) (+.f64 (pow.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) 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) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) 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) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
(-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64))))))
(fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 x (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.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 (fma.f64 #s(approx (+ ( (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64)))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64)))))))
(+.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64)))
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(-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/192 binary64) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1/512 binary64) (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/192 binary64)))))) (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/192 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/192 binary64)))))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/192 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))))) (/.f64 #s(literal 1/512 binary64) (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))))))
(+.f64 (.f64 (.f64 x x) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/192 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal -1/192 binary64)
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#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64))))
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#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y) x (log.f64 #s(literal 2 binary64))))
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#s(approx (* (+ (* y (/ (/ (log (+ 1 (exp x))) y) x)) (neg y)) x) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
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#s(approx (+ (* y (/ (/ (log (+ 1 (exp x))) y) x)) (neg y)) (/.f64 (log.f64 #s(literal 2 binary64)) x))
#s(approx (+ (* y (/ (/ (log (+ 1 (exp x))) y) x)) (neg y)) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) x))
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#s(approx (/ (/ (log (+ 1 (exp x))) y) x) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x))
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#s(approx (/ (log (+ 1 (exp x))) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y))
#s(approx (/ (log (+ 1 (exp x))) y) (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) x (/.f64 (log.f64 #s(literal 2 binary64)) y)))
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#s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 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)
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#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
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#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
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#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (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 (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (-.f64 #s(literal 1/2 binary64) y))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y))
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#s(approx (+ (* (* x x) -1/192) 1/8) (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)))
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#s(approx (+ (* y (/ (/ (log (+ 1 (exp x))) y) x)) (neg y)) (neg.f64 y))
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#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1/192 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)))))
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#s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))))
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#s(approx (+ (* y (/ (/ (log (+ 1 (exp x))) y) x)) (neg y)) (/.f64 (log1p.f64 (exp.f64 x)) x))
#s(approx (+ (* y (/ (/ (log (+ 1 (exp x))) y) x)) (neg y)) (fma.f64 #s(literal -1 binary64) y (/.f64 (log1p.f64 (exp.f64 x)) x)))
#s(approx y y)
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#s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (- 1/2 y) x) (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(approx (- 1/2 y) (fma.f64 #s(literal -1 binary64) y #s(literal 1/2 binary64)))
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#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+.f64 (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 (.f64 (neg.f64 x) y)) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)))
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#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))) y) x) y) (*.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (log1p.f64 (exp.f64 x)) y)) y))
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#s(approx (+ (* y (/ (/ (log (+ 1 (exp x))) y) x)) (neg y)) (.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)) #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 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) y))
#s(approx (* (- 1/2 y) x) (*.f64 (neg.f64 x) y))
#s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))
#s(approx (- 1/2 y) (neg.f64 y))
#s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (neg.f64 x) y))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (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))) y)) y))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) #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 (* (- (/ (log (+ 1 (exp x))) y) x) y) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (exp.f64 x)) y) x)))
#s(approx (* (+ (* y (/ (/ (log (+ 1 (exp x))) y) x)) (neg y)) x) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (exp.f64 x)) y) x)))
#s(approx (+ (* y (/ (/ (log (+ 1 (exp x))) y) x)) (neg y)) (.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x)))
#s(approx (* (- 1/2 y) x) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) x)))
#s(approx (- 1/2 y) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (.f64 (neg.f64 y) (fma.f64 (/.f64 (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))) y) #s(literal -1 binary64) x)))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (.f64 (neg.f64 y) (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) #s(literal -1 binary64) #s(literal 1 binary64))))

eval36.0ms (1.1%)

Memory: -0.6MiB live, 44.4MiB allocated; 4ms collecting garbage
Compiler: Compiled 11 466 to 1 434 computations (87.5% saved)

prune13.0ms (0.4%)

Memory

20.1MiB live, 20.1MiB allocated; 0ms collecting garbage

Pruning

15 alts after pruning (5 fresh and 10 done)

	Pruned	Kept	Total
New	275	3	278
Fresh	0	2	2
Picked	0	5	5
Done	0	5	5
Total	275	15	290

Accuracy

99.7%

Counts

290 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.2%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 x y))
✓	88.5%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
✓	57.3%	#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 #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
✓	74.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
✓	52.2%	#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))))
✓	88.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) x) y))
✓	49.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
	57.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 #s(approx (- (/ (+ ( (+ (* (* x x) -1/192) 1/8) x) 1/2) y) 1) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y))
	52.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
✓	51.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
✓	31.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
	31.1%	#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))))
	3.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
✓	86.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (*.f64 (fma.f64 y (/.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) (neg.f64 y)) x)))
	59.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (* (- (/ (log (+ 1 (exp x))) y) x) y) (.f64 (fma.f64 y (/.f64 (/.f64 #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)))) y) x) (neg.f64 y)) x)))

Compiler

Compiled 948 to 409 computations (56.9% saved)

regimes21.0ms (0.7%)

Memory

-24.0MiB live, 22.5MiB allocated; 3ms collecting garbage

Counts

23 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes16.0ms (0.5%)

Memory

19.8MiB live, 19.8MiB allocated; 0ms collecting garbage

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.6%	2	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
99.3%	2	`x`
88.5%	1	`y`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes5.0ms (0.2%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Counts

14 → 2

Calls

Call 1

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.0%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.1%)

Memory

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

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.3%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.2%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Counts

6 → 3

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
97.3%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
86.3%	2	`x`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes5.0ms (0.2%)

Memory

-45.9MiB live, 4.3MiB allocated; 6ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

5.0ms

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

Results

Accuracy	Segments	Branch
96.7%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes6.0ms (0.2%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
49.0%	1	`x`
49.0%	1	`y`
49.0%	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

7.8MiB live, 7.9MiB 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
3.7%	1	`x`
3.7%	1	`y`
3.7%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

bsearch13.0ms (0.4%)

Memory

16.6MiB live, 16.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-3374.4949514774084	-0.3729495901445097

Samples

7.0ms

128×

valid

Compiler

Compiled 324 to 267 computations (17.6% saved)

Precisions

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

ival-exp: 2.0ms (51.6% of total)

ival-log1p: 1.0ms (25.8% of total)

ival-mult!: 1.0ms (25.8% of total)

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

adjust: 0.0ms (0% of total)

bsearch13.0ms (0.4%)

Memory

-31.9MiB live, 14.1MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-3374.4949514774084	-0.3729495901445097

Samples

5.0ms

112×

valid

Compiler

Compiled 284 to 243 computations (14.4% saved)

Precisions

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

ival-exp: 1.0ms (32.7% of total)

ival-log1p: 1.0ms (32.7% of total)

ival-mult!: 1.0ms (32.7% of total)

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

adjust: 0.0ms (0% of total)

bsearch7.0ms (0.2%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	-3374.4949514774084	-0.3729495901445097

Samples

3.0ms

64×

valid

Compiler

Compiled 260 to 227 computations (12.7% saved)

Precisions

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

ival-exp: 1.0ms (48.5% of total)

ival-log1p: 1.0ms (48.5% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch5.0ms (0.2%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	-3374.4949514774084	-0.3729495901445097

Samples

2.0ms

48×

valid

Compiler

Compiled 212 to 195 computations (8% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-exp: 1.0ms (79.7% of total)

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

adjust: 0.0ms (0% of total)

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

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

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7177617985833407	71427.09615583382
0.0ms	1.1995098382663106e-51	0.5239589720936813

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7177617985833407	71427.09615583382
0.0ms	1.1995098382663106e-51	0.5239589720936813

Compiler

Compiled 12 to 13 computations (-8.3% saved)

derivations164.0ms (5.2%)

Memory

-12.5MiB live, 126.7MiB allocated; 20ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 331 to 69 computations (79.2% saved)

preprocess47.0ms (1.5%)

Memory: 42.4MiB live, 88.1MiB allocated; 5ms collecting garbage
Compiler: Compiled 732 to 190 computations (74% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze129.0ms (4.1%)

sample1.1s (34%)

explain99.0ms (3.1%)

preprocess38.0ms (1.2%)

series60.0ms (1.9%)

rewrite142.0ms (4.5%)

eval9.0ms (0.3%)

prune6.0ms (0.2%)

series93.0ms (2.9%)

rewrite180.0ms (5.7%)

eval27.0ms (0.8%)

prune23.0ms (0.7%)

series294.0ms (9.3%)

rewrite179.0ms (5.7%)

eval51.0ms (1.6%)

prune13.0ms (0.4%)

series154.0ms (4.9%)

rewrite223.0ms (7.1%)

eval36.0ms (1.1%)

prune13.0ms (0.4%)

regimes21.0ms (0.7%)

regimes16.0ms (0.5%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes5.0ms (0.2%)

regimes5.0ms (0.2%)

regimes6.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch13.0ms (0.4%)

bsearch13.0ms (0.4%)

bsearch7.0ms (0.2%)

bsearch5.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations164.0ms (5.2%)

preprocess47.0ms (1.5%)

end0.0ms (0%)

Profiling