Metrics for Logistic regression 2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze97.0ms (1.9%)

Memory

-6.9MiB live, 144.2MiB allocated; 32ms 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)

sample2.8s (53.7%)

Memory

116.6MiB live, 3 694.7MiB allocated; 655ms collecting garbage

Samples

1.7s	2 642×	5	exit
662.0ms	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-log1p: 934.0ms (54% of total)

adjust: 332.0ms (19.2% of total)

ival-sub: 167.0ms (9.7% of total)

ival-exp: 159.0ms (9.2% of total)

ival-mult: 135.0ms (7.8% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain138.0ms (2.6%)

Memory

-37.2MiB live, 153.3MiB allocated; 29ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
5	96	(-1.0858587921613881e+255 -1.1968599460719445e-244)	-	`(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	97	0
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`	oflow-rescue	4	0
↳	`(exp.f64 x)`	overflow	4
↳	`(+.f64 #s(literal 1 binary64) (exp.f64 x))`	overflow	4

Confusion

	Predicted +	Predicted -
+	4	0
-	97	155

Precision

0.039603960396039604

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	4	0	0
-	97	0	155

Precision?

0.039603960396039604

Recall?

1.0

Freqs

test

number	freq
0	155
1	101

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

46.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 9.0ms (36.3% of total)

ival-log1p: 5.0ms (20.2% of total)

ival-exp: 4.0ms (16.1% of total)

ival-add: 3.0ms (12.1% of total)

ival-sub: 2.0ms (8.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess369.0ms (7.1%)

Memory

-2.1MiB live, 447.5MiB allocated; 113ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

series63.0ms (1.2%)

Memory

22.0MiB live, 118.6MiB allocated; 13ms 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
31.0ms	x	@	inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
24.0ms	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)

rewrite143.0ms (2.8%)

Memory

3.4MiB live, 192.0MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	424
1	551	422
0	4872	350

Stop Event

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

Counts

37 → 90

Calls

Call 1

Inputs
(- (log (+ 1 (exp x))) (* x y))
(log (+ 1 (exp x)))
(+ 1 (exp x))
1
(exp x)
x
(* 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)))

eval11.0ms (0.2%)

Memory: -28.0MiB live, 18.8MiB allocated; 2ms collecting garbage
Compiler: Compiled 1 389 to 326 computations (76.5% saved)

prune5.0ms (0.1%)

Memory

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

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	87	5	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	5	93

Accuracy

99.0%

Counts

93 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.4%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
▶	80.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
▶	98.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y))
▶	54.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
▶	45.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 146 to 120 computations (17.8% saved)

series146.0ms (2.8%)

Memory

-5.1MiB live, 189.0MiB allocated; 38ms collecting garbage

Counts

22 → 72

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

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

Calls

6 calls:

Time	Variable		Point	Expression
91.0ms	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 2) 2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2)
14.0ms	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 2) 2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2)
13.0ms	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 2) 2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2)
12.0ms	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 2) 2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2)
10.0ms	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 2) 2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2)

rewrite172.0ms (3.3%)

Memory

-12.6MiB live, 216.9MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	227	1347
1	1265	1338
0	8204	1141

Stop Event

1×	iter limit
1×	node limit

Counts

94 → 155

Calls

Call 1

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

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

eval18.0ms (0.3%)

Memory: 32.6MiB live, 32.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 289 to 630 computations (85.3% saved)

prune41.0ms (0.8%)

Memory

-31.9MiB live, 25.0MiB allocated; 10ms collecting garbage

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	162	7	169
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	165	9	174

Accuracy

99.0%

Counts

174 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
▶	46.3%	#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))))
▶	88.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) x) y))
✓	54.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
	80.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y))
	81.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal 1 binary64)) x)) y))
✓	45.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
▶	80.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y) x)))
▶	35.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))

Compiler

Compiled 384 to 282 computations (26.6% saved)

series135.0ms (2.6%)

Memory

21.3MiB live, 159.5MiB allocated; 13ms collecting garbage

Counts

30 → 95

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
40.0ms	x	@	inf	((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (log (+ 1 (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) 1 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (- (/ (log 2) x) -1/2) y) x) (- (- (/ (log 2) x) -1/2) y) (- (/ (log 2) x) -1/2) (/ (log 2) x) -1/2)
29.0ms	y	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (log (+ 1 (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) 1 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (- (/ (log 2) x) -1/2) y) x) (- (- (/ (log 2) x) -1/2) y) (- (/ (log 2) x) -1/2) (/ (log 2) x) -1/2)
23.0ms	y	@	0	((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (log (+ 1 (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) 1 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (- (/ (log 2) x) -1/2) y) x) (- (- (/ (log 2) x) -1/2) y) (- (/ (log 2) x) -1/2) (/ (log 2) x) -1/2)
17.0ms	x	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (log (+ 1 (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) 1 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (- (/ (log 2) x) -1/2) y) x) (- (- (/ (log 2) x) -1/2) y) (- (/ (log 2) x) -1/2) (/ (log 2) x) -1/2)
12.0ms	y	@	inf	((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (log (+ 1 (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) 1 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (- (/ (log 2) x) -1/2) y) x) (- (- (/ (log 2) x) -1/2) y) (- (/ (log 2) x) -1/2) (/ (log 2) x) -1/2)

rewrite209.0ms (4%)

Memory

-1.2MiB live, 243.8MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	290	1884
1	1560	1874
0	8490	1666

Stop Event

1×	iter limit
1×	node limit

Counts

125 → 185

Calls

Call 1

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

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

eval43.0ms (0.8%)

Memory: -3.3MiB live, 42.3MiB allocated; 3ms collecting garbage
Compiler: Compiled 6 400 to 814 computations (87.3% saved)

prune14.0ms (0.3%)

Memory

-15.0MiB live, 32.0MiB allocated; 2ms collecting garbage

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	200	4	204
Fresh	1	1	2
Picked	1	4	5
Done	0	2	2
Total	202	11	213

Accuracy

99.0%

Counts

213 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
✓	46.3%	#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))))
✓	88.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) x) y))
✓	54.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
▶	80.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y))
✓	45.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
✓	35.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
▶	46.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- (- (/ (log 2) x) -1/2) y) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))) x)))
▶	63.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- (- (/ (log 2) x) -1/2) y) x) (*.f64 (fma.f64 x (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) (neg.f64 x)) y))))
▶	35.8%	#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))))
▶	3.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))

Compiler

Compiled 460 to 328 computations (28.7% saved)

series90.0ms (1.7%)

Memory

18.9MiB live, 162.2MiB allocated; 17ms collecting garbage

Counts

36 → 132

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	y	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) (- (/ 1/2 y) 1) (/ 1/2 y) 1/2 y 1 x (/ (log 2) y) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (* 1/2 x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (* (+ (* (/ x y) 1/2) (neg x)) y) (+ (* (/ x y) 1/2) (neg x)) (/ x y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (- (/ (log 2) x) -1/2) y) x) (- (- (/ (log 2) x) -1/2) y) (+ (/ (log 2) x) 1/2) (/ (log 2) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (- (/ (log 2) x) -1/2) y) x) (* (+ (* x (/ (+ (/ (log 2) x) 1/2) y)) (neg x)) y) (+ (* x (/ (+ (/ (log 2) x) 1/2) y)) (neg x)) (/ (+ (/ (log 2) x) 1/2) y))
16.0ms	y	@	0	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) (- (/ 1/2 y) 1) (/ 1/2 y) 1/2 y 1 x (/ (log 2) y) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (* 1/2 x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (* (+ (* (/ x y) 1/2) (neg x)) y) (+ (* (/ x y) 1/2) (neg x)) (/ x y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (- (/ (log 2) x) -1/2) y) x) (- (- (/ (log 2) x) -1/2) y) (+ (/ (log 2) x) 1/2) (/ (log 2) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (- (/ (log 2) x) -1/2) y) x) (* (+ (* x (/ (+ (/ (log 2) x) 1/2) y)) (neg x)) y) (+ (* x (/ (+ (/ (log 2) x) 1/2) y)) (neg x)) (/ (+ (/ (log 2) x) 1/2) y))
16.0ms	x	@	inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) (- (/ 1/2 y) 1) (/ 1/2 y) 1/2 y 1 x (/ (log 2) y) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (* 1/2 x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (* (+ (* (/ x y) 1/2) (neg x)) y) (+ (* (/ x y) 1/2) (neg x)) (/ x y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (- (/ (log 2) x) -1/2) y) x) (- (- (/ (log 2) x) -1/2) y) (+ (/ (log 2) x) 1/2) (/ (log 2) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (- (/ (log 2) x) -1/2) y) x) (* (+ (* x (/ (+ (/ (log 2) x) 1/2) y)) (neg x)) y) (+ (* x (/ (+ (/ (log 2) x) 1/2) y)) (neg x)) (/ (+ (/ (log 2) x) 1/2) y))
14.0ms	x	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) (- (/ 1/2 y) 1) (/ 1/2 y) 1/2 y 1 x (/ (log 2) y) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (* 1/2 x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (* (+ (* (/ x y) 1/2) (neg x)) y) (+ (* (/ x y) 1/2) (neg x)) (/ x y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (- (/ (log 2) x) -1/2) y) x) (- (- (/ (log 2) x) -1/2) y) (+ (/ (log 2) x) 1/2) (/ (log 2) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (- (/ (log 2) x) -1/2) y) x) (* (+ (* x (/ (+ (/ (log 2) x) 1/2) y)) (neg x)) y) (+ (* x (/ (+ (/ (log 2) x) 1/2) y)) (neg x)) (/ (+ (/ (log 2) x) 1/2) y))
13.0ms	y	@	inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) y) x) y) (- (/ (log (+ 1 (exp x))) y) x) (+ (* (- (/ 1/2 y) 1) x) (/ (log 2) y)) (- (/ 1/2 y) 1) (/ 1/2 y) 1/2 y 1 x (/ (log 2) y) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (* 1/2 x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (* (+ (* (/ x y) 1/2) (neg x)) y) (+ (* (/ x y) 1/2) (neg x)) (/ x y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (- (/ (log 2) x) -1/2) y) x) (- (- (/ (log 2) x) -1/2) y) (+ (/ (log 2) x) 1/2) (/ (log 2) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (- (/ (log 2) x) -1/2) y) x) (* (+ (* x (/ (+ (/ (log 2) x) 1/2) y)) (neg x)) y) (+ (* x (/ (+ (/ (log 2) x) 1/2) y)) (neg x)) (/ (+ (/ (log 2) x) 1/2) y))

rewrite190.0ms (3.6%)

Memory

3.9MiB live, 231.3MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	348	3002
1	1688	2998
0	8589	2760

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 329

Calls

Call 1

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

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

eval52.0ms (1%)

Memory: -9.6MiB live, 92.9MiB allocated; 14ms collecting garbage
Compiler: Compiled 17 593 to 1 986 computations (88.7% saved)

prune30.0ms (0.6%)

Memory

2.9MiB live, 93.7MiB allocated; 6ms collecting garbage

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	391	4	395
Fresh	0	0	0
Picked	2	3	5
Done	0	6	6
Total	393	13	406

Accuracy

99.0%

Counts

406 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
✓	46.3%	#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))))
✓	88.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) y) x) y))
✓	54.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
	46.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 #s(approx (- (/ 1/2 y) 1) (/.f64 #s(literal 1/2 binary64) y)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y))
	31.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) (/.f64 (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)))))) y))
	35.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ ( (- (/ 1/2 y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x))) y))
✓	45.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
✓	35.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
✓	46.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- (- (/ (log 2) x) -1/2) y) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))) x)))
✓	63.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- (- (/ (log 2) x) -1/2) y) x) (*.f64 (fma.f64 x (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) (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(approx (+ ( (/ x y) 1/2) (neg x)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) y))))
✓	3.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))

Compiler

Compiled 997 to 413 computations (58.6% saved)

regimes24.0ms (0.5%)

Memory

19.6MiB live, 63.2MiB allocated; 10ms collecting garbage

Counts

21 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	x
6.0ms	y
5.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

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

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes28.0ms (0.5%)

Memory

-7.4MiB live, 48.8MiB allocated; 26ms collecting garbage

Counts

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

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

Calls

3 calls:

18.0ms	x
5.0ms	y
4.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
97.8%	2	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
99.0%	2	`x`
88.4%	1	`y`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes4.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB 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 #s(approx (+ ( (/ x y) 1/2) (neg x)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(approx (- (/ (log (+ 1 (exp x))) y) x) #s(approx (+ ( (- (/ 1/2 y) 1) x) (/ (log 2) y)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x))) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.8%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.2%)

Memory

-15.5MiB live, 30.1MiB allocated; 8ms collecting garbage

Counts

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

7.0ms	x
3.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
96.3%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
83.4%	2	`x`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes3.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms collecting garbage

Counts

7 → 3

Calls

Call 1

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

2.0ms

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

Results

Accuracy	Segments	Branch
96.2%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes12.0ms (0.2%)

Memory

-17.8MiB live, 29.0MiB allocated; 9ms collecting garbage

Counts

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

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

Calls

3 calls:

7.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
54.2%	1	`x`
54.2%	1	`y`
54.2%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes4.0ms (0.1%)

Memory

17.7MiB live, 17.8MiB 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	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
1.0ms	x
1.0ms	y

Results

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

Compiler

Compiled 11 to 12 computations (-9.1% saved)

bsearch17.0ms (0.3%)

Memory

3.2MiB live, 48.5MiB allocated; 11ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-1982.8159222367547	-17.603156460426344

Samples

6.0ms

112×

valid

Compiler

Compiled 229 to 200 computations (12.7% saved)

Precisions

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

ival-exp: 1.0ms (27.9% of total)

ival-log1p: 1.0ms (27.9% of total)

ival-mult: 1.0ms (27.9% of total)

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

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

adjust: 0.0ms (0% of total)

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

bsearch15.0ms (0.3%)

Memory

-19.2MiB live, 35.9MiB allocated; 12ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-1982.8159222367547	-17.603156460426344

Samples

5.0ms

80×

valid

Compiler

Compiled 250 to 214 computations (14.4% saved)

Precisions

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

ival-exp: 1.0ms (37.8% of total)

ival-log1p: 1.0ms (37.8% of total)

ival-mult: 1.0ms (37.8% of total)

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

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

adjust: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7461416898204867	38.389460529723344
0.0ms	1.434395253911718e-16	0.5290216999166656

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7461416898204867	38.389460529723344
0.0ms	1.434395253911718e-16	0.5290216999166656

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify59.0ms (1.1%)

Memory

6.5MiB live, 95.9MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	233
1	78	233
2	111	233
3	188	233
4	550	233
5	5073	233

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x #s(literal -18 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -58 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 #s(approx (- 1/2 y) (neg.f64 y)) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 2028240960365167/10141204801825835211973625643008 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 2028240960365167/10141204801825835211973625643008 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))

Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x #s(literal -18 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -58 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 #s(approx (- 1/2 y) (neg.f64 y)) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 2028240960365167/10141204801825835211973625643008 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))))
(if (or (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 2028240960365167/10141204801825835211973625643008 binary64)) (not (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 2028240960365167/10141204801825835211973625643008 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))))
(if (or (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 2028240960365167/10141204801825835211973625643008 binary64)) (not (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))

derivations210.0ms (4%)

Memory

-17.5MiB live, 211.7MiB allocated; 127ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 233 to 54 computations (76.8% saved)

preprocess55.0ms (1.1%)

Memory: 37.2MiB live, 90.9MiB allocated; 19ms collecting garbage
Compiler: Compiled 536 to 160 computations (70.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze97.0ms (1.9%)

sample2.8s (53.7%)

explain138.0ms (2.6%)

preprocess369.0ms (7.1%)

eval0.0ms (0%)

prune0.0ms (0%)

series63.0ms (1.2%)

rewrite143.0ms (2.8%)

eval11.0ms (0.2%)

prune5.0ms (0.1%)

series146.0ms (2.8%)

rewrite172.0ms (3.3%)

eval18.0ms (0.3%)

prune41.0ms (0.8%)

series135.0ms (2.6%)

rewrite209.0ms (4%)

eval43.0ms (0.8%)

prune14.0ms (0.3%)

series90.0ms (1.7%)

rewrite190.0ms (3.6%)

eval52.0ms (1%)

prune30.0ms (0.6%)

regimes24.0ms (0.5%)

regimes28.0ms (0.5%)

regimes4.0ms (0.1%)

regimes10.0ms (0.2%)

regimes3.0ms (0.1%)

regimes12.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch17.0ms (0.3%)

bsearch15.0ms (0.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify59.0ms (1.1%)

derivations210.0ms (4%)

preprocess55.0ms (1.1%)

end0.0ms (0%)

Profiling