Metrics for Logistic regression 2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze79.0ms (1.2%)

Memory

-6.1MiB live, 117.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.2s (18.1%)

Memory

43.2MiB live, 1 324.5MiB allocated

Samples

564.0ms	8 256×	0	valid
246.0ms	2 688×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 475.0ms

ival-log1p: 128.0ms (27% of total)

ival-exp: 127.0ms (26.7% of total)

ival-mult: 103.0ms (21.7% of total)

ival-sub: 62.0ms (13.1% of total)

adjust: 41.0ms (8.6% of total)

ival-true: 9.0ms (1.9% of total)

ival-assert: 5.0ms (1.1% of total)

Bogosity

explain143.0ms (2.2%)

Memory

-8.8MiB live, 147.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
1	77	(-4.297384192045147e+115 3.6788542357019524e-36)	-	`(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	1	0
↳	`(exp.f64 x)`	overflow	1
↳	`(+.f64 #s(literal 1 binary64) (exp.f64 x))`	overflow	1

Confusion

	Predicted +	Predicted -
+	1	0
-	77	178

Precision

0.01282051282051282

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	77	0	178

Precision?

0.01282051282051282

Recall?

1.0

Freqs

test

number	freq
0	178
1	78

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

51.0ms

512×

valid

Compiler

Compiled 117 to 50 computations (57.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-log1p: 6.0ms (28.1% of total)

ival-mult: 5.0ms (23.4% of total)

ival-exp: 4.0ms (18.7% of total)

ival-sub: 3.0ms (14% of total)

ival-add: 3.0ms (14% of total)

ival-true: 1.0ms (4.7% of total)

exact: 0.0ms (0% of total)

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

preprocess29.0ms (0.4%)

Memory

-14.2MiB live, 23.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	51
1	58	49
2	113	49
3	227	49
4	311	49
5	429	49
6	483	49
7	515	49
8	518	49
0	8	9
0	13	9
1	22	9
2	33	9
3	45	9
4	60	9
5	84	9
6	123	9
7	160	9
8	205	9
9	231	9
10	255	9
11	264	9
0	264	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

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
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify9.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 x)
cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 x))
cost-diff	0	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
cost-diff	192	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
0	13	26
1	22	26
2	33	26
3	45	26
4	60	26
5	84	26
6	123	26
7	160	26
8	205	26
9	231	26
10	255	26
11	264	26
0	264	22

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

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

localize28.0ms (0.4%)

Memory

-1.9MiB live, 34.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0	(exp.f64 x)
accuracy	0.0078125	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
accuracy	0.2576671339794416	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))

Samples

18.0ms

256×

valid

Compiler

Compiled 54 to 18 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-log1p: 3.0ms (29.6% of total)

ival-exp: 2.0ms (19.7% of total)

ival-mult: 2.0ms (19.7% of total)

ival-sub: 1.0ms (9.9% of total)

ival-add: 1.0ms (9.9% of total)

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

exact: 0.0ms (0% of total)

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

series69.0ms (1%)

Memory

6.3MiB live, 82.7MiB allocated

Counts

5 → 25

Calls

Call 1

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

Outputs
(log 2)
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* x y)
(log (+ 1 (exp x)))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(+ 1 (exp x))
(exp x)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))

Calls

6 calls:

Time	Variable		Point	Expression
35.0ms	x	@	inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x) (* x y))
19.0ms	x	@	-inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x) (* x y))
9.0ms	y	@	0	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x) (* x y))
1.0ms	y	@	inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x) (* x y))
1.0ms	y	@	-inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x) (* x y))

simplify140.0ms (2.1%)

Memory

36.4MiB live, 108.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	197
1	180	197
2	388	197
3	1351	197
4	3980	187
5	6760	187
0	8091	153

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 25

Calls

Call 1

Inputs
(log 2)
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* x y)
(log (+ 1 (exp x)))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(+ 1 (exp x))
(exp x)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))

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

rewrite221.0ms (3.4%)

Memory

-47.9MiB live, 190.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
0	13	23
1	47	23
2	311	23
3	2718	23
0	9051	19

Stop Event

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

Counts

5 → 368

Calls

Call 1

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

Outputs
(*.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64))
(log1p.f64 (exp.f64 x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (exp.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (exp.f64 x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)) (.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (exp.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)) (.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x)))))))
(neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(neg.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (neg.f64 (exp.f64 x))) (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (exp.f64 x))))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (exp.f64 x))))))
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(-.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))) (/.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 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 x)) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.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 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 (*.f64 x #s(literal 1 binary64)))
(exp.f64 x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 y x)
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))

eval48.0ms (0.7%)

Memory: 3.4MiB live, 76.4MiB allocated
Compiler: Compiled 13 339 to 1 491 computations (88.8% saved)

prune11.0ms (0.2%)

Memory

-8.4MiB live, 29.8MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	381	8	389
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	382	8	390

Accuracy

100.0%

Counts

390 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
▶	72.7%	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (.f64 y x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))
	92.3%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
	83.0%	(-.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) (*.f64 x y))
	73.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
▶	79.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
▶	83.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
▶	50.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))

Compiler

Compiled 272 to 206 computations (24.3% saved)

simplify177.0ms (2.7%)

Memory

13.7MiB live, 101.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(log1p.f64 (exp.f64 x))
cost-diff	0	(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))
cost-diff	0	(-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (.f64 y x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))
cost-diff	0	(-.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
cost-diff	0	#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))))
cost-diff	0	(log.f64 #s(literal 2 binary64))
cost-diff	0	(-.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) x)
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
cost-diff	0	(exp.f64 x)
cost-diff	0	(log1p.f64 (exp.f64 x))
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	197
0	56	197
1	99	197
2	192	197
3	576	197
4	1370	197
5	2276	197
6	3753	197
7	5532	197
8	6453	197
9	6955	197
10	7544	197
11	7951	197
0	8046	197

Stop Event

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

Calls

Call 1

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

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

localize148.0ms (2.2%)

Memory

0.6MiB live, 190.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.25331884768442015	(pow.f64 (*.f64 y x) #s(literal 3 binary64))
accuracy	0.681972509768442	(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))
accuracy	0.685878759768442	(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))
accuracy	16.72246322240677	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (.f64 y x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))
accuracy	0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.0078125	(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
accuracy	13.13790065728711	#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))))
accuracy	0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.0078125	(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
accuracy	10.875487165432551	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
accuracy	0	(*.f64 (neg.f64 y) x)
accuracy	0	(neg.f64 y)
accuracy	31.99360715439719	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
accuracy	0	(neg.f64 y)
accuracy	0	(exp.f64 x)
accuracy	0.00390625	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
accuracy	0.24985463397944158	(log1p.f64 (exp.f64 x))

Samples

118.0ms

256×

valid

Compiler

Compiled 418 to 65 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-add: 38.0ms (39.9% of total)

ival-mult: 24.0ms (25.2% of total)

ival-neg: 9.0ms (9.5% of total)

ival-pow: 7.0ms (7.4% of total)

ival-sub: 4.0ms (4.2% of total)

ival-log: 3.0ms (3.2% of total)

ival-log1p: 3.0ms (3.2% of total)

ival-pow2: 3.0ms (3.2% of total)

ival-div: 2.0ms (2.1% of total)

ival-exp: 2.0ms (2.1% of total)

exact: 1.0ms (1.1% of total)

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

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

series179.0ms (2.7%)

Memory

-2.3MiB live, 81.7MiB allocated

Counts

18 → 83

Calls

Call 1

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

Outputs
(log 2)
(+ (log 2) (* x (+ 1/2 (* -1 y))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* -1 (* x y))
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) y)
(+ (log 2) (* x (- (+ 1/2 (* x (- (+ 1/8 (* 3/4 (/ 1 (log 2)))) (+ (* 1/4 (/ 1 (log 2))) (+ (/ (* y (+ 1/2 y)) (log 2)) (/ (* (+ (log 2) (* y (log 2))) (- 1/2 y)) (pow (log 2) 2))))))) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (- (+ 1/8 (+ (* 3/4 (/ 1 (log 2))) (* x (- (+ (* 1/4 (/ 1 (log 2))) (* 1/2 (/ (+ 1/4 (* 1/4 (log 2))) (pow (log 2) 2)))) (+ (* 1/8 (/ 1 (log 2))) (+ (* 1/8 (/ y (log 2))) (+ (/ (* (+ 1/4 (+ (* 1/4 (log 2)) (* y (+ 1/2 y)))) (- 1/2 y)) (pow (log 2) 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (- (+ 1/8 (* 3/4 (/ 1 (log 2)))) (+ (* 1/4 (/ 1 (log 2))) (+ (/ (* y (+ 1/2 y)) (log 2)) (/ (* (+ (log 2) (* y (log 2))) (- 1/2 y)) (pow (log 2) 2)))))) (pow (log 2) 2)) (/ (pow y 3) (pow (log 2) 2)))))))))) (+ (* 1/4 (/ 1 (log 2))) (+ (/ (* y (+ 1/2 y)) (log 2)) (/ (* (+ (log 2) (* y (log 2))) (- 1/2 y)) (pow (log 2) 2))))))) y)))
(pow (log 2) 3)
(+ (* x (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 3))
(+ (* x (+ (* 1/2 (pow (log 2) 2)) (+ (* x (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(+ (* x (+ (* 1/2 (pow (log 2) 2)) (+ (* x (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (+ (* x (- (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2))))) (pow y 3))) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(+ (* x (+ (* 1/2 (pow (log 2) 2)) (+ (* x (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (+ (* x (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2)))))) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(pow (log 2) 2)
(+ (* x (log 2)) (pow (log 2) 2))
(+ (* x (+ (log 2) (* x (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))
(+ (* x (+ (log 2) (* x (+ 1/4 (+ (* 1/8 x) (* 1/4 (log 2))))))) (pow (log 2) 2))
(* (pow x 3) (pow y 3))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(log (+ 1 (exp x)))
(exp x)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- 1/2 y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(* 1/8 x)
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* x (- (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y)) (pow x 2)))) (* -1 (/ (log (+ 1 (exp x))) x))))
(* x (- (+ (* -1 y) (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) (* (pow x 3) y))) (+ (* -1 (/ (log (+ 1 (exp x))) x)) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y))) (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y))))))
(* -1 (* (pow x 3) (pow y 3)))
(* (pow x 3) (- (/ (pow (log (+ 1 (exp x))) 3) (pow x 3)) (pow y 3)))
(pow (log (+ 1 (exp x))) 3)
(pow (log (+ 1 (exp x))) 2)
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(* -1 (* x (+ y (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (* -1 (log (+ 1 (exp x))))) x)))))
(* -1 (* x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) (* x y)) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) x)) (* -1 (log (+ 1 (exp x))))) x)))))
(* -1 (* (pow x 3) (- (* -1 (/ (pow (log (+ 1 (exp x))) 3) (pow x 3))) (* -1 (pow y 3)))))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 y)
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
1/2
(+ 1/2 (* -1 y))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(+ 1/2 (* 1/8 x))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(+ (log (+ 1 (exp x))) (* y (- (* -1 (* y (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x))))))) x)))
(+ (log (+ 1 (exp x))) (* y (- (* y (- (/ (* x (* y (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x))))))) (log (+ 1 (exp x)))) (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x))))))) x)))
(+ (* -1 (* (pow x 3) (pow y 3))) (pow (log (+ 1 (exp x))) 3))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(* y (- (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x)) (pow y 2)))) (* -1 (/ (log (+ 1 (exp x))) y))))
(* y (- (+ (* -1 x) (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) (* x (pow y 3)))) (+ (* -1 (/ (log (+ 1 (exp x))) y)) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))))))
(* (pow y 3) (- (/ (pow (log (+ 1 (exp x))) 3) (pow y 3)) (pow x 3)))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (* -1 (log (+ 1 (exp x))))) y)))))
(* -1 (* y (+ x (* -1 (/ (- (* -1 (/ (- (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) (* x y)) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) y)) (* -1 (log (+ 1 (exp x))))) y)))))
(* -1 (* (pow y 3) (- (* -1 (/ (pow (log (+ 1 (exp x))) 3) (pow y 3))) (* -1 (pow x 3)))))

Calls

6 calls:

Time	Variable		Point	Expression
134.0ms	y	@	0	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (/ (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2))) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (pow (log (+ 1 (exp x))) 3) (pow (log (+ 1 (exp x))) 2) (pow (* y x) 3))
15.0ms	x	@	inf	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (/ (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2))) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (pow (log (+ 1 (exp x))) 3) (pow (log (+ 1 (exp x))) 2) (pow (* y x) 3))
11.0ms	x	@	-inf	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (/ (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2))) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (pow (log (+ 1 (exp x))) 3) (pow (log (+ 1 (exp x))) 2) (pow (* y x) 3))
7.0ms	x	@	0	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (/ (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2))) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (pow (log (+ 1 (exp x))) 3) (pow (log (+ 1 (exp x))) 2) (pow (* y x) 3))
5.0ms	y	@	inf	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (/ (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2))) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (pow (log (+ 1 (exp x))) 3) (pow (log (+ 1 (exp x))) 2) (pow (* y x) 3))

simplify148.0ms (2.2%)

Memory

-11.2MiB live, 151.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	368	1168
1	1237	1122
2	4133	1077
0	8282	955

Stop Event

1×	iter limit
1×	node limit

Counts

83 → 83

Calls

Call 1

Inputs
(log 2)
(+ (log 2) (* x (+ 1/2 (* -1 y))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* -1 (* x y))
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) y)
(+ (log 2) (* x (- (+ 1/2 (* x (- (+ 1/8 (* 3/4 (/ 1 (log 2)))) (+ (* 1/4 (/ 1 (log 2))) (+ (/ (* y (+ 1/2 y)) (log 2)) (/ (* (+ (log 2) (* y (log 2))) (- 1/2 y)) (pow (log 2) 2))))))) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (- (+ 1/8 (+ (* 3/4 (/ 1 (log 2))) (* x (- (+ (* 1/4 (/ 1 (log 2))) (* 1/2 (/ (+ 1/4 (* 1/4 (log 2))) (pow (log 2) 2)))) (+ (* 1/8 (/ 1 (log 2))) (+ (* 1/8 (/ y (log 2))) (+ (/ (* (+ 1/4 (+ (* 1/4 (log 2)) (* y (+ 1/2 y)))) (- 1/2 y)) (pow (log 2) 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (- (+ 1/8 (* 3/4 (/ 1 (log 2)))) (+ (* 1/4 (/ 1 (log 2))) (+ (/ (* y (+ 1/2 y)) (log 2)) (/ (* (+ (log 2) (* y (log 2))) (- 1/2 y)) (pow (log 2) 2)))))) (pow (log 2) 2)) (/ (pow y 3) (pow (log 2) 2)))))))))) (+ (* 1/4 (/ 1 (log 2))) (+ (/ (* y (+ 1/2 y)) (log 2)) (/ (* (+ (log 2) (* y (log 2))) (- 1/2 y)) (pow (log 2) 2))))))) y)))
(pow (log 2) 3)
(+ (* x (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 3))
(+ (* x (+ (* 1/2 (pow (log 2) 2)) (+ (* x (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(+ (* x (+ (* 1/2 (pow (log 2) 2)) (+ (* x (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (+ (* x (- (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2))))) (pow y 3))) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(+ (* x (+ (* 1/2 (pow (log 2) 2)) (+ (* x (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (+ (* x (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2)))))) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(pow (log 2) 2)
(+ (* x (log 2)) (pow (log 2) 2))
(+ (* x (+ (log 2) (* x (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))
(+ (* x (+ (log 2) (* x (+ 1/4 (+ (* 1/8 x) (* 1/4 (log 2))))))) (pow (log 2) 2))
(* (pow x 3) (pow y 3))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(log (+ 1 (exp x)))
(exp x)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- 1/2 y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(* 1/8 x)
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* x (- (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y)) (pow x 2)))) (* -1 (/ (log (+ 1 (exp x))) x))))
(* x (- (+ (* -1 y) (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) (* (pow x 3) y))) (+ (* -1 (/ (log (+ 1 (exp x))) x)) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y))) (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y))))))
(* -1 (* (pow x 3) (pow y 3)))
(* (pow x 3) (- (/ (pow (log (+ 1 (exp x))) 3) (pow x 3)) (pow y 3)))
(pow (log (+ 1 (exp x))) 3)
(pow (log (+ 1 (exp x))) 2)
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(* -1 (* x (+ y (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (* -1 (log (+ 1 (exp x))))) x)))))
(* -1 (* x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) (* x y)) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) x)) (* -1 (log (+ 1 (exp x))))) x)))))
(* -1 (* (pow x 3) (- (* -1 (/ (pow (log (+ 1 (exp x))) 3) (pow x 3))) (* -1 (pow y 3)))))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 y)
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
1/2
(+ 1/2 (* -1 y))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(+ 1/2 (* 1/8 x))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(+ (log (+ 1 (exp x))) (* y (- (* -1 (* y (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x))))))) x)))
(+ (log (+ 1 (exp x))) (* y (- (* y (- (/ (* x (* y (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x))))))) (log (+ 1 (exp x)))) (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x))))))) x)))
(+ (* -1 (* (pow x 3) (pow y 3))) (pow (log (+ 1 (exp x))) 3))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(* y (- (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x)) (pow y 2)))) (* -1 (/ (log (+ 1 (exp x))) y))))
(* y (- (+ (* -1 x) (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) (* x (pow y 3)))) (+ (* -1 (/ (log (+ 1 (exp x))) y)) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))))))
(* (pow y 3) (- (/ (pow (log (+ 1 (exp x))) 3) (pow y 3)) (pow x 3)))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (* -1 (log (+ 1 (exp x))))) y)))))
(* -1 (* y (+ x (* -1 (/ (- (* -1 (/ (- (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) (* x y)) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) y)) (* -1 (log (+ 1 (exp x))))) y)))))
(* -1 (* (pow y 3) (- (* -1 (/ (pow (log (+ 1 (exp x))) 3) (pow y 3))) (* -1 (pow x 3)))))

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

rewrite210.0ms (3.2%)

Memory

22.5MiB live, 179.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	144
0	56	124
1	243	124
2	1812	124
0	8201	124

Stop Event

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

Counts

18 → 652

Calls

Call 1

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

Outputs
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(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (neg.f64 y))) #s(literal 3 binary64)))
(exp.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64))))

eval124.0ms (1.9%)

Memory: 6.6MiB live, 116.7MiB allocated
Compiler: Compiled 28 106 to 2 468 computations (91.2% saved)

prune26.0ms (0.4%)

Memory

-30.3MiB live, 51.2MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	707	8	715
Fresh	1	2	3
Picked	2	3	5
Done	0	0	0
Total	710	13	723

Accuracy

100.0%

Counts

723 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
▶	92.3%	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
▶	83.0%	(-.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) (*.f64 x y))
	73.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
	53.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
✓	83.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
▶	50.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
✓	50.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
	82.9%	#s(approx (- (log (+ 1 (exp x))) (* 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)))
▶	33.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
▶	21.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (.f64 x x))))
	6.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
	50.5%	#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 478 to 385 computations (19.5% saved)

simplify172.0ms (2.6%)

Memory

1.5MiB live, 160.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 #s(literal 2 binary64))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
cost-diff	0	(-.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) (*.f64 x y))
cost-diff	0	(log.f64 #s(literal 2 binary64))
cost-diff	0	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
cost-diff	0	(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64))
cost-diff	0	#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (.f64 x x)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (.f64 x x))))
cost-diff	832	(.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (.f64 x x))
cost-diff	0	(-.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
cost-diff	0	#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
cost-diff	0	#s(approx (exp x) #s(literal 1 binary64))
cost-diff	0	(log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	241
0	61	241
1	101	241
2	145	241
3	260	241
4	509	241
5	982	235
6	1703	235
7	3823	235
8	5816	235
9	7614	235
0	8189	216

Stop Event

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

Calls

Call 1

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

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

localize107.0ms (1.6%)

Memory

24.0MiB live, 96.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.00390625	(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
accuracy	0.0078125	(-.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) (*.f64 x y))
accuracy	19.664284612758152	#s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.0078125	(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
accuracy	10.875487165432551	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
accuracy	33.21606200727513	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy	0.0078125	(/.f64 (-.f64 #s(literal 1/2 binary64) y) x)
accuracy	13.13790065728711	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (.f64 x x))))
accuracy	22.558497167314844	(.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (.f64 x x))
accuracy	31.852535696701157	#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (.f64 x x)))
accuracy	0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	0.00390625	(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
accuracy	10.875487165432551	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
accuracy	31.852535731677303	#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
accuracy	0	(neg.f64 y)
accuracy	0.00390625	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
accuracy	0.24985463397944158	(log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))
accuracy	19.912887818651267	#s(approx (exp x) #s(literal 1 binary64))

Samples

60.0ms

256×

valid

Compiler

Compiled 401 to 74 computations (81.5% saved)

Precisions

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

ival-mult: 22.0ms (50.4% of total)

ival-add: 7.0ms (16% of total)

ival-log: 3.0ms (6.9% of total)

ival-log1p: 3.0ms (6.9% of total)

ival-div: 2.0ms (4.6% of total)

ival-exp: 2.0ms (4.6% of total)

ival-sub: 2.0ms (4.6% of total)

exact: 1.0ms (2.3% of total)

ival-neg: 1.0ms (2.3% of total)

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

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

series57.0ms (0.9%)

Memory

-4.5MiB live, 47.9MiB allocated

Counts

20 → 68

Calls

Call 1

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

Outputs
(log 2)
(+ (log 2) (* x (+ 1/2 (* -1 y))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* x (- 1/2 y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(/ (- 1/2 y) x)
(/ (- (+ 1/2 (* 1/8 x)) y) x)
(* -1 (* x y))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(log (+ 1 (exp x)))
(exp x)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
1/8
(- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))
(* 1/2 x)
(* x (+ 1/2 (/ (log 2) x)))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(* -1 (* x (- (* -1 (/ (log 2) x)) 1/2)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 y)
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (* -1 (* x y)) (* 1/2 x))
1/2
(+ 1/2 (* -1 y))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))
(+ (* -1 (* x y)) (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(+ 1/8 (* 1/2 (/ 1 x)))
(+ 1/8 (+ (* -1 (/ y x)) (* 1/2 (/ 1 x))))
(/ 1/2 x)
(+ (* -1 (/ y x)) (* 1/2 (/ 1 x)))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (+ (* -1 x) (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* -1 (/ y x))
(* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x)))
(* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x)))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x))))
(* -1 (* y (- (/ 1 x) (* 1/2 (/ 1 (* x y))))))

Calls

6 calls:

Time	Variable		Point	Expression
31.0ms	x	@	inf	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (/ (- 1/2 y) x) 1/8) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ (* 1/2 x) (log 2)) (/ (- 1/2 y) x))
10.0ms	x	@	-inf	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (/ (- 1/2 y) x) 1/8) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ (* 1/2 x) (log 2)) (/ (- 1/2 y) x))
4.0ms	y	@	0	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (/ (- 1/2 y) x) 1/8) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ (* 1/2 x) (log 2)) (/ (- 1/2 y) x))
4.0ms	y	@	inf	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (/ (- 1/2 y) x) 1/8) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ (* 1/2 x) (log 2)) (/ (- 1/2 y) x))
4.0ms	y	@	-inf	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (/ (- 1/2 y) x) 1/8) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ (* 1/2 x) (log 2)) (/ (- 1/2 y) x))

simplify133.0ms (2%)

Memory

1.5MiB live, 157.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	184	594
1	591	587
2	1579	586
3	4678	554
0	8427	490

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 68

Calls

Call 1

Inputs
(log 2)
(+ (log 2) (* x (+ 1/2 (* -1 y))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* x (- 1/2 y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(/ (- 1/2 y) x)
(/ (- (+ 1/2 (* 1/8 x)) y) x)
(* -1 (* x y))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(log (+ 1 (exp x)))
(exp x)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
1/8
(- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))
(* 1/2 x)
(* x (+ 1/2 (/ (log 2) x)))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(* -1 (* x (- (* -1 (/ (log 2) x)) 1/2)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 y)
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (* -1 (* x y)) (* 1/2 x))
1/2
(+ 1/2 (* -1 y))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))
(+ (* -1 (* x y)) (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(+ 1/8 (* 1/2 (/ 1 x)))
(+ 1/8 (+ (* -1 (/ y x)) (* 1/2 (/ 1 x))))
(/ 1/2 x)
(+ (* -1 (/ y x)) (* 1/2 (/ 1 x)))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (+ (* -1 x) (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* -1 (/ y x))
(* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x)))
(* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x)))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x))))
(* -1 (* y (- (/ 1 x) (* 1/2 (/ 1 (* x y))))))

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

rewrite191.0ms (2.9%)

Memory

16.5MiB live, 208.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	213
0	61	213
1	246	213
2	1873	213
0	8449	197

Stop Event

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

Counts

20 → 325

Calls

Call 1

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

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

eval67.0ms (1%)

Memory: -32.3MiB live, 88.5MiB allocated
Compiler: Compiled 15 972 to 1 853 computations (88.4% saved)

prune19.0ms (0.3%)

Memory

5.4MiB live, 44.6MiB allocated

Pruning

20 alts after pruning (13 fresh and 7 done)

	Pruned	Kept	Total
New	394	8	402
Fresh	0	5	5
Picked	1	4	5
Done	0	3	3
Total	395	20	415

Accuracy

100.0%

Counts

415 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
✓	92.3%	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
✓	83.0%	(-.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) (*.f64 x y))
	73.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
	53.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
✓	83.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
✓	50.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
✓	50.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
▶	82.9%	#s(approx (- (log (+ 1 (exp x))) (* 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)))
	19.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))) x)))
✓	33.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
▶	3.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
	20.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 x x) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
	17.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (.f64 x #s(literal 1 binary64))) (.f64 x (/.f64 x y))) #s(literal 1/8 binary64)) (*.f64 x x))))
▶	17.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y)) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x))))
▶	6.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64)) (.f64 x x))))
	20.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 #s(approx (/ (- 1/2 y) x) (.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1/2 binary64) y) x)) y)) #s(literal 1/8 binary64)) (*.f64 x x))))
	6.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
	23.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (.f64 x x))))
▶	50.5%	#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 945 to 705 computations (25.4% saved)

simplify186.0ms (2.8%)

Memory

24.4MiB live, 152.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y)) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x))))
cost-diff	320	(-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y))
cost-diff	640	(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y)) (*.f64 x x))
cost-diff	832	(.f64 (+.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y)) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x))
cost-diff	0	(+.f64 (/.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64))
cost-diff	0	#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64)) (.f64 x x)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64)) (.f64 x x))))
cost-diff	832	(.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64)) (.f64 x x))
cost-diff	0	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
cost-diff	0	(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
cost-diff	0	#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))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* 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)))
cost-diff	192	(fma.f64 #s(literal -1 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y))
cost-diff	1024	(*.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)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	398
0	67	397
1	113	381
2	190	371
3	421	355
4	982	355
5	2766	340
6	6641	340
0	8099	309

Stop Event

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

Calls

Call 1

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

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

localize111.0ms (1.7%)

Memory

-0.0MiB live, 192.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	31.705938499043057	#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))
accuracy	13.13790065728711	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y)) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x))))
accuracy	18.8892174729516	(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y)) (*.f64 x x))
accuracy	22.558497167314844	(.f64 (+.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y)) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x))
accuracy	31.852535696701157	#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y)) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x)))
accuracy	13.13790065728711	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64)) (.f64 x x))))
accuracy	22.558497167314844	(.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64)) (.f64 x x))
accuracy	31.852535696701157	#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64)) (.f64 x x)))
accuracy	33.21606200727513	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy	0.00390625	(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)
accuracy	10.875487165432551	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
accuracy	31.852535731677303	#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))
accuracy	33.21606200727513	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy	0.01171875	(fma.f64 #s(literal -1 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y))
accuracy	0.1484375	(/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)
accuracy	4.084553652290919	(*.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)
accuracy	10.875487165432551	#s(approx (- (log (+ 1 (exp x))) (* 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)))

Samples

75.0ms

256×

valid

Compiler

Compiled 639 to 89 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 24.0ms (45.3% of total)

ival-add: 9.0ms (17% of total)

ival-div: 5.0ms (9.4% of total)

ival-sub: 4.0ms (7.5% of total)

ival-log: 3.0ms (5.7% of total)

ival-log1p: 3.0ms (5.7% of total)

ival-exp: 2.0ms (3.8% of total)

exact: 1.0ms (1.9% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

series118.0ms (1.8%)

Memory

7.7MiB live, 125.2MiB allocated

Counts

20 → 84

Calls

Call 1

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

Outputs
(log 2)
(+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1))))
(/ (log 2) y)
(+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* x (- 1/2 y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(/ (- 1/2 y) x)
(/ (- (+ 1/2 (* 1/8 x)) y) x)
(+ (log 2) (* x (+ 1/2 (* -1 y))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+ (* 1/2 (/ x y)) (/ (log 2) y))
(* x (* y (- (* 1/2 (/ 1 y)) 1)))
(* x (+ (* y (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) x)))
(* x (- (* 1/2 (/ 1 y)) 1))
(* x (- (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y))) 1))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
1/8
(- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(* 1/2 (/ x y))
(* x (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y))))
(* -1 (* x (* y (- 1 (* 1/2 (/ 1 y))))))
(* -1 (* x (+ (* -1 (/ (log 2) x)) (* y (- 1 (* 1/2 (/ 1 y)))))))
(* -1 (* x (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* x (- (+ 1 (* -1 (/ (log 2) (* x y)))) (* 1/2 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(* (pow x 2) (+ 1/8 (+ (* -1 (/ y x)) (* 1/2 (/ 1 x)))))
(/ (+ 1/2 (* -1 y)) x)
(* x (+ 1/2 (* -1 y)))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (- (* -1 (/ (log 2) (* x y))) (* 1/2 (/ 1 y)))))
(+ (log 2) (* 1/2 x))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(/ (+ (log 2) (* 1/2 x)) y)
(/ (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))) y)
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* 1/2 x)
(+ (* -1 (* x y)) (* 1/2 x))
1/2
(+ 1/2 (* -1 y))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))
(+ (* -1 (* x y)) (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(+ 1/8 (* 1/2 (/ 1 x)))
(+ 1/8 (+ (* -1 (/ y x)) (* 1/2 (/ 1 x))))
(/ 1/2 x)
(+ (* -1 (/ y x)) (* 1/2 (/ 1 x)))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* -1 x)
(+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* -1 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (+ (* -1 x) (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* -1 (/ y x))
(* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x)))
(* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x)))
(* y (- (* 1/2 (/ x y)) x))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x))))
(* -1 (* y (- (/ 1 x) (* 1/2 (/ 1 (* x y))))))
(* -1 (* y (- (* -1/2 (/ x y)) (* -1 x))))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))

Calls

6 calls:

Time	Variable		Point	Expression
43.0ms	y	@	0	((* (+ (* -1 x) (/ (+ (* 1/2 x) (log 2)) y)) y) (+ (* -1 x) (/ (+ (* 1/2 x) (log 2)) y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (/ (- 1/2 y) x) 1/8) (* (+ (/ (- (* 1/2 x) (* x y)) (* x x)) 1/8) (* x x)) (/ (- (* 1/2 x) (* x y)) (* x x)) (- (* 1/2 x) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (neg y) x) (log (+ 1 (exp x)))) (log 2) (/ (+ (* 1/2 x) (log 2)) y) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)))
38.0ms	y	@	inf	((* (+ (* -1 x) (/ (+ (* 1/2 x) (log 2)) y)) y) (+ (* -1 x) (/ (+ (* 1/2 x) (log 2)) y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (/ (- 1/2 y) x) 1/8) (* (+ (/ (- (* 1/2 x) (* x y)) (* x x)) 1/8) (* x x)) (/ (- (* 1/2 x) (* x y)) (* x x)) (- (* 1/2 x) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (neg y) x) (log (+ 1 (exp x)))) (log 2) (/ (+ (* 1/2 x) (log 2)) y) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)))
14.0ms	x	@	0	((* (+ (* -1 x) (/ (+ (* 1/2 x) (log 2)) y)) y) (+ (* -1 x) (/ (+ (* 1/2 x) (log 2)) y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (/ (- 1/2 y) x) 1/8) (* (+ (/ (- (* 1/2 x) (* x y)) (* x x)) 1/8) (* x x)) (/ (- (* 1/2 x) (* x y)) (* x x)) (- (* 1/2 x) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (neg y) x) (log (+ 1 (exp x)))) (log 2) (/ (+ (* 1/2 x) (log 2)) y) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)))
12.0ms	y	@	-inf	((* (+ (* -1 x) (/ (+ (* 1/2 x) (log 2)) y)) y) (+ (* -1 x) (/ (+ (* 1/2 x) (log 2)) y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (/ (- 1/2 y) x) 1/8) (* (+ (/ (- (* 1/2 x) (* x y)) (* x x)) 1/8) (* x x)) (/ (- (* 1/2 x) (* x y)) (* x x)) (- (* 1/2 x) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (neg y) x) (log (+ 1 (exp x)))) (log 2) (/ (+ (* 1/2 x) (log 2)) y) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)))
5.0ms	x	@	-inf	((* (+ (* -1 x) (/ (+ (* 1/2 x) (log 2)) y)) y) (+ (* -1 x) (/ (+ (* 1/2 x) (log 2)) y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (/ (- 1/2 y) x) 1/8) (* (+ (/ (- (* 1/2 x) (* x y)) (* x x)) 1/8) (* x x)) (/ (- (* 1/2 x) (* x y)) (* x x)) (- (* 1/2 x) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (neg y) x) (log (+ 1 (exp x)))) (log 2) (/ (+ (* 1/2 x) (log 2)) y) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)))

simplify154.0ms (2.3%)

Memory

1.2MiB live, 79.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	830
1	639	816
2	1736	813
3	5253	719
0	8391	656

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
(log 2)
(+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1))))
(/ (log 2) y)
(+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* x (- 1/2 y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(/ (- 1/2 y) x)
(/ (- (+ 1/2 (* 1/8 x)) y) x)
(+ (log 2) (* x (+ 1/2 (* -1 y))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+ (* 1/2 (/ x y)) (/ (log 2) y))
(* x (* y (- (* 1/2 (/ 1 y)) 1)))
(* x (+ (* y (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) x)))
(* x (- (* 1/2 (/ 1 y)) 1))
(* x (- (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y))) 1))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
1/8
(- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(* 1/2 (/ x y))
(* x (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y))))
(* -1 (* x (* y (- 1 (* 1/2 (/ 1 y))))))
(* -1 (* x (+ (* -1 (/ (log 2) x)) (* y (- 1 (* 1/2 (/ 1 y)))))))
(* -1 (* x (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* x (- (+ 1 (* -1 (/ (log 2) (* x y)))) (* 1/2 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(* (pow x 2) (+ 1/8 (+ (* -1 (/ y x)) (* 1/2 (/ 1 x)))))
(/ (+ 1/2 (* -1 y)) x)
(* x (+ 1/2 (* -1 y)))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (- (* -1 (/ (log 2) (* x y))) (* 1/2 (/ 1 y)))))
(+ (log 2) (* 1/2 x))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(/ (+ (log 2) (* 1/2 x)) y)
(/ (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))) y)
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* 1/2 x)
(+ (* -1 (* x y)) (* 1/2 x))
1/2
(+ 1/2 (* -1 y))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))
(+ (* -1 (* x y)) (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(+ 1/8 (* 1/2 (/ 1 x)))
(+ 1/8 (+ (* -1 (/ y x)) (* 1/2 (/ 1 x))))
(/ 1/2 x)
(+ (* -1 (/ y x)) (* 1/2 (/ 1 x)))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* -1 x)
(+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* -1 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (+ (* -1 x) (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* -1 (/ y x))
(* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x)))
(* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x)))
(* y (- (* 1/2 (/ x y)) x))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x))))
(* -1 (* y (- (/ 1 x) (* 1/2 (/ 1 (* x y))))))
(* -1 (* y (- (* -1/2 (/ x y)) (* -1 x))))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))

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

rewrite202.0ms (3.1%)

Memory

-12.5MiB live, 142.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	339
0	67	338
1	270	324
2	2198	324
0	8612	299

Stop Event

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

Counts

20 → 367

Calls

Call 1

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

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

eval108.0ms (1.6%)

Memory: -31.2MiB live, 68.7MiB allocated
Compiler: Compiled 19 402 to 2 392 computations (87.7% saved)

prune36.0ms (0.5%)

Memory

3.6MiB live, 43.0MiB allocated

Pruning

29 alts after pruning (19 fresh and 10 done)

	Pruned	Kept	Total
New	414	13	427
Fresh	2	6	8
Picked	2	3	5
Done	0	7	7
Total	418	29	447

Accuracy

100.0%

Counts

447 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
✓	92.3%	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
✓	83.0%	(-.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) (*.f64 x y))
	73.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
	53.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
✓	83.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
✓	50.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
✓	50.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
	50.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
	19.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))) x)))
	82.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)))
✓	33.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
✓	3.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
	33.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 #s(approx (+ ( -1 x) (/ (+ (* 1/2 x) (log 2)) y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x))) y)))
	3.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (/.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (.f64 x x) (.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
	9.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) y) x)))) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x))))
	9.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 x) x)) (.f64 (.f64 x x) (.f64 (neg.f64 y) x))) (.f64 (.f64 x x) (.f64 (neg.f64 x) x))) #s(literal 1/8 binary64)) (*.f64 x x))))
	17.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (.f64 x #s(literal 1 binary64))) (.f64 x (/.f64 x y))) #s(literal 1/8 binary64)) (*.f64 x x))))
	17.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 x x))))
	8.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (/.f64 (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (.f64 (.f64 x x) (.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 1/8 binary64)) (.f64 x x))))
	21.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)) (.f64 x x))))
✓	6.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64)) (.f64 x x))))
	21.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) (neg.f64 x))) #s(literal 1/8 binary64)) (.f64 x x))))
	17.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal 1/8 binary64)) (*.f64 x x))))
	20.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 #s(approx (/ (- ( 1/2 x) (* x y)) (* x x)) (.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1/2 binary64) y) x)) y)) #s(literal 1/8 binary64)) (.f64 x x))))
	6.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
	23.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (.f64 x x))))
	29.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (.f64 (.f64 x (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x #s(literal -1 binary64))) y))))
✓	50.5%	#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 2 073 to 888 computations (57.2% saved)

regimes35.0ms (0.5%)

Memory

28.1MiB live, 28.1MiB allocated

Counts

38 → 1

Calls

Call 1

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

Outputs
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))

Calls

3 calls:

11.0ms	y
11.0ms	x
10.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

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

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes39.0ms (0.6%)

Memory

-17.1MiB live, 21.1MiB allocated

Counts

35 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

16.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
10.0ms	y
10.0ms	x

Results

Accuracy	Segments	Branch
99.6%	2	`x`
92.3%	1	`y`
99.2%	2	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes11.0ms (0.2%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

32 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes15.0ms (0.2%)

Memory

-23.0MiB live, 14.6MiB allocated

Counts

30 → 2

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

27 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

26 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes40.0ms (0.6%)

Memory

-30.7MiB live, 14.3MiB allocated

Counts

25 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

31.0ms	x
7.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
96.6%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
83.3%	3	`x`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes8.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
96.6%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes22.0ms (0.3%)

Memory

16.0MiB live, 16.0MiB allocated

Counts

23 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
50.0%	1	`x`
50.0%	1	`y`
50.0%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes4.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
3.3%	1	`x`
3.3%	1	`y`
3.3%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

bsearch49.0ms (0.7%)

Memory

-17.5MiB live, 20.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
47.0ms	-7.040102554298429e+20	-0.028346854254876472

Samples

40.0ms

176×

valid

Compiler

Compiled 441 to 363 computations (17.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-exp: 31.0ms (86.6% of total)

ival-log1p: 2.0ms (5.6% of total)

ival-mult: 2.0ms (5.6% of total)

ival-sub: 1.0ms (2.8% of total)

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

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

bsearch14.0ms (0.2%)

Memory

13.9MiB live, 13.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-7.040102554298429e+20	-0.028346854254876472

Samples

7.0ms

128×

valid

Compiler

Compiled 386 to 330 computations (14.5% saved)

Precisions

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

ival-exp: 2.0ms (45% of total)

ival-sub: 1.0ms (22.5% of total)

ival-log1p: 1.0ms (22.5% of total)

ival-mult: 1.0ms (22.5% of total)

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

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

bsearch10.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-7.040102554298429e+20	-0.028346854254876472

Samples

5.0ms

80×

valid

Compiler

Compiled 353 to 308 computations (12.7% saved)

Precisions

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

ival-exp: 1.0ms (31.9% of total)

ival-log1p: 1.0ms (31.9% of total)

ival-mult: 1.0ms (31.9% of total)

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

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

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

bsearch44.0ms (0.7%)

Memory

-35.0MiB live, 2.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
43.0ms	-7.040102554298429e+20	-0.028346854254876472

Compiler

Compiled 265 to 242 computations (8.7% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-7.040102554298429e+20	-0.028346854254876472

Compiler

Compiled 287 to 264 computations (8% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7352599195014996	4.937616453722237
0.0ms	1.7370125604020174e-11	0.6754128317852554

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7352599195014996	4.937616453722237
0.0ms	1.7370125604020174e-11	0.6754128317852554

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify35.0ms (0.5%)

Memory

8.5MiB live, 47.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	355
1	92	355
2	102	355
3	107	355
4	109	355

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(if (<=.f64 x #s(literal -5854679515581645/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -58 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) #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)))))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 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)))))
(if (<=.f64 x #s(literal -58 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) (fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -58 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 6189700196426901/309485009821345068724781056 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 6189700196426901/309485009821345068724781056 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))

Outputs
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(if (<=.f64 x #s(literal -5854679515581645/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -5854679515581645/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (neg.f64 y))) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -58 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) #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)))))
(if (<=.f64 x #s(literal -58 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (neg.f64 y))) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 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)))))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (neg.f64 y))) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -58 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) (fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -58 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y))) (fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -58 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)))
(if (<=.f64 x #s(literal -58 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (neg.f64 y))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 6189700196426901/309485009821345068724781056 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 6189700196426901/309485009821345068724781056 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 x (neg.f64 y))) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 6189700196426901/309485009821345068724781056 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 6189700196426901/309485009821345068724781056 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 x (neg.f64 y))) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))

soundness1.3s (20.2%)

Memory

16.0MiB live, 652.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	197
1	180	197
2	388	197
3	1351	197
4	3980	187
5	6760	187
0	8091	153
0	184	594
1	591	587
2	1579	586
3	4678	554
0	8427	490
0	8	23
0	13	23
1	47	23
2	311	23
3	2718	23
0	9051	19
0	368	1168
1	1237	1122
2	4133	1077
0	8282	955

Stop Event

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

Compiler

Compiled 559 to 234 computations (58.1% saved)

preprocess268.0ms (4.1%)

Memory: -14.6MiB live, 103.1MiB allocated
Compiler: Compiled 780 to 202 computations (74.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	22	51
1	58	49
2	113	49
3	227	49
4	311	49
5	429	49
6	483	49
7	515	49
8	518	49
0	8	9
0	13	9
1	22	9
2	33	9
3	45	9
4	60	9
5	84	9
6	123	9
7	160	9
8	205	9
9	231	9
10	255	9
11	264	9
0	264	7

Iter	Nodes	Cost
0	8	26
0	13	26
1	22	26
2	33	26
3	45	26
4	60	26
5	84	26
6	123	26
7	160	26
8	205	26
9	231	26
10	255	26
11	264	26
0	264	22

Iter	Nodes	Cost
0	22	51
1	58	49
2	113	49
3	227	49
4	311	49
5	429	49
6	483	49
7	515	49
8	518	49
0	8	9
0	13	9
1	22	9
2	33	9
3	45	9
4	60	9
5	84	9
6	123	9
7	160	9
8	205	9
9	231	9
10	255	9
11	264	9
0	264	7

Iter	Nodes	Cost
0	8	26
0	13	26
1	22	26
2	33	26
3	45	26
4	60	26
5	84	26
6	123	26
7	160	26
8	205	26
9	231	26
10	255	26
11	264	26
0	264	22

start0.0ms (0%)

analyze79.0ms (1.2%)

sample1.2s (18.1%)

explain143.0ms (2.2%)

preprocess29.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify9.0ms (0.1%)

localize28.0ms (0.4%)

series69.0ms (1%)

simplify140.0ms (2.1%)

rewrite221.0ms (3.4%)

eval48.0ms (0.7%)

prune11.0ms (0.2%)

simplify177.0ms (2.7%)

localize148.0ms (2.2%)

series179.0ms (2.7%)

simplify148.0ms (2.2%)

rewrite210.0ms (3.2%)

eval124.0ms (1.9%)

prune26.0ms (0.4%)

simplify172.0ms (2.6%)

localize107.0ms (1.6%)

series57.0ms (0.9%)

simplify133.0ms (2%)

rewrite191.0ms (2.9%)

eval67.0ms (1%)

prune19.0ms (0.3%)

simplify186.0ms (2.8%)

localize111.0ms (1.7%)

series118.0ms (1.8%)

simplify154.0ms (2.3%)

rewrite202.0ms (3.1%)

eval108.0ms (1.6%)

prune36.0ms (0.5%)

regimes35.0ms (0.5%)

regimes39.0ms (0.6%)

regimes11.0ms (0.2%)

regimes15.0ms (0.2%)

regimes10.0ms (0.1%)

regimes10.0ms (0.1%)

regimes40.0ms (0.6%)

regimes8.0ms (0.1%)

regimes22.0ms (0.3%)

regimes4.0ms (0.1%)

bsearch49.0ms (0.7%)

bsearch14.0ms (0.2%)

bsearch10.0ms (0.1%)

bsearch44.0ms (0.7%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify35.0ms (0.5%)

soundness1.3s (20.2%)

preprocess268.0ms (4.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	22	51
1	58	49
2	113	49
3	227	49
4	311	49
5	429	49
6	483	49
7	515	49
8	518	49
0	8	9
0	13	9
1	22	9
2	33	9
3	45	9
4	60	9
5	84	9
6	123	9
7	160	9
8	205	9
9	231	9
10	255	9
11	264	9
0	264	7

Iter	Nodes	Cost
0	8	26
0	13	26
1	22	26
2	33	26
3	45	26
4	60	26
5	84	26
6	123	26
7	160	26
8	205	26
9	231	26
10	255	26
11	264	26
0	264	22