Metrics for Logistic regression 2

start0.0ms (0%)

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

analyze107.0ms (2.1%)

Memory

-30.3MiB live, 167.5MiB allocated; 41ms 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)

sample2.6s (51.4%)

Memory

49.0MiB live, 5 192.5MiB allocated; 334ms collecting garbage

Samples

1.6s	2 640×	5	exit
533.0ms	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-log1p: 934.0ms (56.9% of total)

adjust: 302.0ms (18.4% of total)

ival-exp: 147.0ms (9% of total)

ival-sub: 141.0ms (8.6% of total)

ival-mult: 114.0ms (6.9% of total)

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

Bogosity

explain104.0ms (2%)

Memory

-4.9MiB live, 286.2MiB allocated; 8ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
2	77	(-6.406738178371547e+274 -1.7552313497455512e-143)	-	`(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	77	0
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`	oflow-rescue	2	0
↳	`(exp.f64 x)`	overflow	2
↳	`(+.f64 #s(literal 1 binary64) (exp.f64 x))`	overflow	2

Confusion

	Predicted +	Predicted -
+	2	0
-	77	177

Precision

0.02531645569620253

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	77	0	177

Precision?

0.02531645569620253

Recall?

1.0

Freqs

test

number	freq
0	177
1	79

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-log1p: 5.0ms (25.5% of total)

ival-exp: 4.0ms (20.4% of total)

ival-mult: 4.0ms (20.4% of total)

ival-add: 2.0ms (10.2% of total)

ival-sub: 2.0ms (10.2% of total)

ival-true: 1.0ms (5.1% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

preprocess263.0ms (5.2%)

Memory

27.9MiB live, 459.6MiB allocated; 23ms 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

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

series63.0ms (1.2%)

Memory

-40.3MiB live, 151.4MiB allocated; 7ms 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
29.0ms	x	@	inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
23.0ms	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)
3.0ms	y	@	inf	((- (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)

rewrite138.0ms (2.7%)

Memory

3.6MiB live, 191.8MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	433
0	108	424
1	562	422
0	4885	350

Stop Event

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

Counts

37 → 90

Calls

Call 1

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

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

eval10.0ms (0.2%)

Memory: 28.3MiB live, 28.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 389 to 326 computations (76.5% saved)

prune61.0ms (1.2%)

Memory

-17.3MiB live, 129.3MiB allocated; 3ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	89	3	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	3	93

Accuracy

99.7%

Counts

93 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
▶	82.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
▶	99.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x))

Status

Accuracy

Program

▶

78.1%

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

▶

82.9%

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

▶

99.2%

#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x))

Compiler

Compiled 56 to 44 computations (21.4% saved)

series54.0ms (1.1%)

Memory

-3.9MiB live, 136.4MiB allocated; 7ms collecting garbage

Counts

18 → 86

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	x	@	inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) x) y) x) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (log (+ 1 (exp x))) (exp x) x y (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8)
17.0ms	x	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) x) y) x) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (log (+ 1 (exp x))) (exp x) x y (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8)
5.0ms	y	@	inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) x) y) x) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (log (+ 1 (exp x))) (exp x) x y (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8)
4.0ms	y	@	0	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) x) y) x) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (log (+ 1 (exp x))) (exp x) x y (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8)
4.0ms	y	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) x) y) x) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (log (+ 1 (exp x))) (exp x) x y (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8)

rewrite201.0ms (4%)

Memory

-3.0MiB live, 339.1MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	267	1548
0	283	1465
1	1396	1463
0	8091	1421

Stop Event

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

Counts

104 → 182

Calls

Call 1

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

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

eval25.0ms (0.5%)

Memory: 19.4MiB live, 66.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 6 258 to 841 computations (86.6% saved)

prune785.0ms (15.5%)

Memory

-10.9MiB live, 1 467.1MiB allocated; 93ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	207	1	208
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	208	3	211

Accuracy

99.7%

Counts

211 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	82.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
✓	99.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x))
▶	85.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(approx (- (/ (log (+ 1 (exp x))) x) y) (.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal 1 binary64)) y)) x))

Status

Accuracy

Program

✓

82.9%

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

✓

99.2%

#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x))

▶

85.0%

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

Compiler

Compiled 69 to 48 computations (30.4% saved)

series84.0ms (1.7%)

Memory

32.9MiB live, 223.6MiB allocated; 9ms collecting garbage

Counts

12 → 67

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
32.0ms	y	@	0	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) x) y) x) (- (/ (log (+ 1 (exp x))) x) y) (* (- (/ (log (+ 1 (exp x))) (* y x)) 1) y) (- (/ (log (+ 1 (exp x))) (* y x)) 1) (/ (log (+ 1 (exp x))) (* y x)) (log (+ 1 (exp x))) (exp x) x (* y x) y 1)
14.0ms	y	@	inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) x) y) x) (- (/ (log (+ 1 (exp x))) x) y) (* (- (/ (log (+ 1 (exp x))) (* y x)) 1) y) (- (/ (log (+ 1 (exp x))) (* y x)) 1) (/ (log (+ 1 (exp x))) (* y x)) (log (+ 1 (exp x))) (exp x) x (* y x) y 1)
12.0ms	x	@	inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) x) y) x) (- (/ (log (+ 1 (exp x))) x) y) (* (- (/ (log (+ 1 (exp x))) (* y x)) 1) y) (- (/ (log (+ 1 (exp x))) (* y x)) 1) (/ (log (+ 1 (exp x))) (* y x)) (log (+ 1 (exp x))) (exp x) x (* y x) y 1)
12.0ms	x	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) x) y) x) (- (/ (log (+ 1 (exp x))) x) y) (* (- (/ (log (+ 1 (exp x))) (* y x)) 1) y) (- (/ (log (+ 1 (exp x))) (* y x)) 1) (/ (log (+ 1 (exp x))) (* y x)) (log (+ 1 (exp x))) (exp x) x (* y x) y 1)
11.0ms	y	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) x) y) x) (- (/ (log (+ 1 (exp x))) x) y) (* (- (/ (log (+ 1 (exp x))) (* y x)) 1) y) (- (/ (log (+ 1 (exp x))) (* y x)) 1) (/ (log (+ 1 (exp x))) (* y x)) (log (+ 1 (exp x))) (exp x) x (* y x) y 1)

rewrite161.0ms (3.2%)

Memory

-19.1MiB live, 316.1MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	215	1322
0	225	1274
1	1120	1252
0	8623	1205

Stop Event

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

Counts

79 → 127

Calls

Call 1

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

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

eval17.0ms (0.3%)

Memory: -0.9MiB live, 46.2MiB allocated; 1ms collecting garbage
Compiler: Compiled 4 806 to 745 computations (84.5% saved)

prune276.0ms (5.5%)

Memory

-22.3MiB live, 703.5MiB allocated; 35ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	131	3	134

Accuracy

99.7%

Counts

134 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	82.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
✓	99.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x))
✓	85.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(approx (- (/ (log (+ 1 (exp x))) x) y) (.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal 1 binary64)) y)) x))

Status

Accuracy

Program

✓

82.9%

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

✓

99.2%

#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x))

✓

85.0%

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

Compiler

Compiled 167 to 86 computations (48.5% saved)

regimes6.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x))

Calls

3 calls:

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

Results

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

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes3.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB 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)) (.f64 #s(approx (- (/ (log (+ 1 (exp x))) x) y) (.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal 1 binary64)) y)) x))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
85.0%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
85.0%	1	`x`
85.0%	1	`y`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify48.0ms (1%)

Memory

-26.1MiB live, 117.4MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	52
1	37	52
2	66	52
3	127	52
4	358	52
5	2685	52

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

Outputs

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

derivations34.0ms (0.7%)

Memory

-3.4MiB live, 44.4MiB allocated; 1ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 52 to 24 computations (53.8% saved)

preprocess15.0ms (0.3%)

Memory: 43.7MiB live, 43.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 122 to 64 computations (47.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze107.0ms (2.1%)

sample2.6s (51.4%)

explain104.0ms (2%)

preprocess263.0ms (5.2%)

eval0.0ms (0%)

prune0.0ms (0%)

series63.0ms (1.2%)

rewrite138.0ms (2.7%)

eval10.0ms (0.2%)

prune61.0ms (1.2%)

series54.0ms (1.1%)

rewrite201.0ms (4%)

eval25.0ms (0.5%)

prune785.0ms (15.5%)

series84.0ms (1.7%)

rewrite161.0ms (3.2%)

eval17.0ms (0.3%)

prune276.0ms (5.5%)

regimes6.0ms (0.1%)

regimes3.0ms (0.1%)

simplify48.0ms (1%)

derivations34.0ms (0.7%)

preprocess15.0ms (0.3%)

end0.0ms (0%)

Profiling