Metrics for Logistic regression 2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze81.0ms (1.3%)

Memory

-11.0MiB live, 73.9MiB 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 (18.9%)

Memory

22.3MiB live, 1 281.2MiB allocated

Samples

571.0ms	8 256×	0	valid
223.0ms	2 681×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 481.0ms

ival-exp: 128.0ms (26.6% of total)

ival-log1p: 119.0ms (24.8% of total)

ival-mult: 94.0ms (19.6% of total)

ival-sub: 78.0ms (16.2% of total)

adjust: 48.0ms (10% of total)

ival-true: 8.0ms (1.7% of total)

ival-assert: 4.0ms (0.8% of total)

Bogosity

explain95.0ms (1.5%)

Memory

29.9MiB live, 147.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
2	93	(-1.4646145975682848e+132 1.5635153696262183e+225)	-	`(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	93	0
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`	oflow-rescue	2	0
↳	`(exp.f64 x)`	overflow	2
↳	`(+.f64 #s(literal 1 binary64) (exp.f64 x))`	overflow	2

Confusion

	Predicted +	Predicted -
+	2	0
-	93	161

Precision

0.021052631578947368

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	93	0	161

Precision?

0.021052631578947368

Recall?

1.0

Freqs

test

number	freq
0	161
1	95

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

35.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-log1p: 5.0ms (25.9% of total)

ival-exp: 4.0ms (20.7% of total)

ival-mult: 4.0ms (20.7% of total)

ival-add: 3.0ms (15.5% of total)

ival-sub: 2.0ms (10.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess44.0ms (0.7%)

Memory

-12.0MiB live, 28.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	51
1	58	49
2	121	49
3	235	49
4	322	49
5	446	49
6	502	49
7	547	49
8	551	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	163	9
8	213	9
9	240	9
10	264	9
11	273	9
0	273	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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify16.0ms (0.2%)

Memory

14.6MiB live, 14.6MiB 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	2	(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	163	26
8	213	26
9	240	26
10	264	26
11	273	26
0	273	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

localize53.0ms (0.8%)

Memory

-17.8MiB live, 18.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 x)
accuracy	0.0078125	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
accuracy	0.01171875	(+.f64 #s(literal 1 binary64) (exp.f64 x))
accuracy	0.4958736482640687	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))

Samples

47.0ms

256×

valid

Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-sub: 31.0ms (80.8% of total)

ival-exp: 2.0ms (5.2% of total)

ival-log1p: 2.0ms (5.2% of total)

ival-mult: 2.0ms (5.2% of total)

ival-add: 1.0ms (2.6% of total)

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

exact: 0.0ms (0% of total)

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

series61.0ms (1%)

Memory

20.6MiB live, 56.3MiB allocated

Counts

4 → 24

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)

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))))))
(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
29.0ms	x	@	-inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
26.0ms	x	@	inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
3.0ms	y	@	0	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
1.0ms	y	@	inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
1.0ms	y	@	-inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))

simplify135.0ms (2.1%)

Memory

-10.4MiB live, 104.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	194
1	180	194
2	399	194
3	1386	194
4	4243	184
5	6976	184
0	8050	150

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

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))))))
(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))
(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)))

rewrite183.0ms (2.9%)

Memory

15.4MiB live, 214.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
0	13	20
1	47	20
2	311	20
3	2719	20
0	9082	16

Stop Event

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

Counts

4 → 359

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)

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))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))))) (/.f64 (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))))))
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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)

eval47.0ms (0.7%)

Memory: -4.1MiB live, 82.4MiB allocated
Compiler: Compiled 13 221 to 1 466 computations (88.9% saved)

prune12.0ms (0.2%)

Memory

-10.9MiB live, 26.2MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	371	8	379
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	372	8	380

Accuracy

99.4%

Counts

380 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
▶	69.5%	(/.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))))
	88.6%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
	78.5%	(.f64 (pow.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
▶	71.0%	#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))))
	75.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
▶	80.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
▶	52.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))

Compiler

Compiled 282 to 206 computations (27% saved)

simplify133.0ms (2.1%)

Memory

10.1MiB live, 125.3MiB 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	(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
cost-diff	0	(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))
cost-diff	0	(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)))
cost-diff	0	#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))))
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	36	222
0	62	222
1	109	222
2	212	222
3	681	222
4	1768	222
5	3131	222
6	5380	222
7	7429	222
0	8151	222

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

localize104.0ms (1.6%)

Memory

-3.3MiB live, 189.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.4841548982640687	(log1p.f64 (exp.f64 x))
accuracy	0.615566259768442	(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))
accuracy	0.619472509768442	(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))
accuracy	18.144680572683118	(/.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	0.01953125	(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)))
accuracy	0.0234375	(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))
accuracy	0.0703125	(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
accuracy	18.56513438723169	#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))))
accuracy	0.0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	0.0	(log.f64 #s(literal 2 binary64))
accuracy	0.01171875	(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
accuracy	12.709376386124733	#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	0.0	(*.f64 (neg.f64 y) x)
accuracy	0.0	(neg.f64 y)
accuracy	30.534883260181953	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
accuracy	0.0	(neg.f64 y)
accuracy	0.0	(exp.f64 x)
accuracy	0.0078125	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
accuracy	0.4841548982640687	(log1p.f64 (exp.f64 x))

Samples

79.0ms

256×

valid

Compiler

Compiled 238 to 36 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 19.0ms (32.5% of total)

ival-log1p: 9.0ms (15.4% of total)

ival-add: 7.0ms (12% of total)

ival-pow: 6.0ms (10.3% of total)

const: 4.0ms (6.8% of total)

ival-sub: 3.0ms (5.1% of total)

ival-log: 3.0ms (5.1% of total)

ival-exp: 2.0ms (3.4% of total)

ival-pow2: 2.0ms (3.4% of total)

ival-div: 1.0ms (1.7% of total)

exact: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

series52.0ms (0.8%)

Memory

9.5MiB live, 85.6MiB allocated

Counts

18 → 90

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

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)
(- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)
1/8
(+ 1/8 (* -1/192 (pow x 2)))
(+ (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))
(* 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))
(* -1/192 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))
(* -1/192 (pow x 3))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* -1/192 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* 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 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2))))))
(* -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 (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(+ (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 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) 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 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) 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
13.0ms	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)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (/ (- (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))
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)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (/ (- (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))
8.0ms	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)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (/ (- (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))
7.0ms	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)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (/ (- (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))
6.0ms	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)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (/ (- (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))

simplify149.0ms (2.3%)

Memory

-18.1MiB live, 150.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	383	1331
1	1272	1286
2	4387	1228
0	8219	1096

Stop Event

1×	iter limit
1×	node limit

Counts

90 → 90

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

rewrite256.0ms (4%)

Memory

-11.1MiB live, 234.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	160
0	62	140
1	268	140
2	1990	140
0	8471	140

Stop Event

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

Counts

18 → 679

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

Outputs
(.f64 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) (pow.f64 (fma.f64 (log1p.f64 (exp.f64 x)) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 6 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (.f64 x y) (log1p.f64 (exp.f64 x)))))) (/.f64 (pow.f64 (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))) #s(literal -1 binary64)) (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 6 binary64))) (fma.f64 (log1p.f64 (exp.f64 x)) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (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))) #s(literal -1 binary64)) (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(.f64 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) (pow.f64 (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 6 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 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 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 6 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))))
(.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (.f64 x y) #s(literal 3/2 binary64))) (-.f64 (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (.f64 x y) #s(literal 3/2 binary64))) (pow.f64 (-.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 x y)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (.f64 x y) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) #s(literal 3 binary64)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (.f64 x y) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y))) (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 6 binary64))) (-.f64 (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)))) (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 x y)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 6 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y))) (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 9 binary64)) (pow.f64 (.f64 x y) #s(literal 9 binary64))) (-.f64 (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 6 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 x y)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 9 binary64)) (pow.f64 (.f64 x y) #s(literal 9 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 6 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y))) (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (log1p.f64 (exp.f64 x)) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x (neg.f64 y))) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)))) (/.f64 (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) (pow.f64 (-.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 x y)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (log1p.f64 (exp.f64 x)) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x (neg.f64 y))) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) (pow.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y))) (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) (-.f64 (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)))) (/.f64 (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))) (pow.f64 (-.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) #s(literal 3 binary64)))) (/.f64 (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))) (pow.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y))) (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (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))) #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))) (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 (/.f64 (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 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)))) (/.f64 (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) (pow.f64 (-.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (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 6 binary64)) (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) (pow.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y))) (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 (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 6 binary64)) (pow.f64 (.f64 x y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (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 9 binary64)) (pow.f64 (.f64 x y) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 6 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)))) (-.f64 (.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 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y))) (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64))))
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(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 6 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 6 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 6 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 9 binary64)) (pow.f64 (.f64 x y) #s(literal 9 binary64))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 9 binary64)) (pow.f64 (.f64 x y) #s(literal 9 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 9 binary64)) (pow.f64 (.f64 x y) #s(literal 9 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 6 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 6 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 9 binary64)) (pow.f64 (.f64 x y) #s(literal 9 binary64)))))
(fma.f64 (pow.f64 (.f64 (.f64 x y) x) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (.f64 (.f64 x (neg.f64 y)) x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 y) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (.f64 (.f64 x (neg.f64 y)) (neg.f64 y)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3/2 binary64)) (pow.f64 (.f64 x (.f64 x (neg.f64 y))) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(fma.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) x) y (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(fma.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) y) x (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(fma.f64 (neg.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64))) (pow.f64 (.f64 x y) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (.f64 x (neg.f64 y)) #s(literal 3/2 binary64)) (pow.f64 (.f64 x (neg.f64 y)) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(fma.f64 (neg.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (.f64 y (.f64 x y)) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (.f64 (neg.f64 y) (.f64 x (neg.f64 y))) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (.f64 x (.f64 x y)) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64)) (pow.f64 (.f64 x y) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x (neg.f64 y)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(fma.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)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(fma.f64 (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 x (neg.f64 y)) (.f64 (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))) (log1p.f64 (exp.f64 x))))
(fma.f64 (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))) (log1p.f64 (exp.f64 x)) (.f64 (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 x (neg.f64 y))))
(fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (log1p.f64 (exp.f64 x)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(fma.f64 (.f64 x y) (neg.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(fma.f64 (.f64 x y) (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(fma.f64 (.f64 x (neg.f64 y)) (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(fma.f64 (.f64 x (neg.f64 y)) (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 (log1p.f64 (exp.f64 x)) (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 (log1p.f64 (exp.f64 x)) (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 (.f64 x (neg.f64 y)) (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 (log1p.f64 (exp.f64 x)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(fma.f64 x (.f64 y (pow.f64 (.f64 x y) #s(literal 2 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(fma.f64 y (.f64 x (pow.f64 (.f64 x y) #s(literal 2 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (/.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 6 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))) (/.f64 (pow.f64 (.f64 x y) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 6 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))))
(-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(+.f64 (.f64 (.f64 x (neg.f64 y)) (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 (log1p.f64 (exp.f64 x)) (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 (.f64 (log1p.f64 (exp.f64 x)) (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 (.f64 x (neg.f64 y)) (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 (.f64 (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 x (neg.f64 y))) (.f64 (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))) (log1p.f64 (exp.f64 x))))
(+.f64 (.f64 (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))) (log1p.f64 (exp.f64 x))) (.f64 (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 x (neg.f64 y))))
(+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 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)))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (log1p.f64 (exp.f64 x)))
(*.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))
(exp.f64 (fma.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 3/2 binary64) (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 3/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)))
(*.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)))

eval128.0ms (2%)

Memory: 14.9MiB live, 130.5MiB allocated
Compiler: Compiled 30 924 to 2 700 computations (91.3% saved)

prune32.0ms (0.5%)

Memory

1.8MiB live, 41.0MiB allocated

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	734	10	744
Fresh	3	0	3
Picked	3	2	5
Done	0	0	0
Total	740	12	752

Accuracy

99.4%

Counts

752 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
▶	88.6%	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
▶	52.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
▶	75.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
	49.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
	30.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))
✓	52.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
	80.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) y)))
	80.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)))
▶	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)))
	18.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3 binary64))) #s(literal -1/192 binary64))) (pow.f64 x #s(literal 4 binary64)))))
▶	48.7%	#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 535 to 419 computations (21.7% saved)

simplify175.0ms (2.8%)

Memory

13.0MiB live, 51.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
cost-diff	0	(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64))
cost-diff	0	(fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y))
cost-diff	0	(fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
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	(-.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	42	241
0	62	240
1	97	240
2	144	240
3	309	240
4	545	240
5	842	240
6	1240	240
7	2264	240
8	3269	240
9	4329	240
10	4551	240
11	4558	240
12	4558	240
13	4627	240
14	4708	240
15	4708	240
16	4712	240
0	4712	230

Stop Event

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

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

localize163.0ms (2.6%)

Memory

-24.4MiB live, 61.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
accuracy	0.0703125	(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
accuracy	18.56513438723169	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
accuracy	27.905407318407235	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy	0.01953125	(fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
accuracy	0.0234375	(fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y))
accuracy	18.56513438723169	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
accuracy	24.10457832346389	#s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64))
accuracy	0.0	(log.f64 #s(literal 2 binary64))
accuracy	32.85673325633914	#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))
accuracy	0.0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	0.0	(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
accuracy	12.709376386124733	#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	30.254585347198983	#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
accuracy	0.0	(neg.f64 y)
accuracy	0.0078125	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
accuracy	0.4841548982640687	(log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))
accuracy	24.04554660296156	#s(approx (exp x) #s(literal 1 binary64))

Samples

64.0ms

256×

valid

Compiler

Compiled 182 to 27 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 11.0ms (29.8% of total)

ival-exp: 8.0ms (21.7% of total)

ival-add: 5.0ms (13.5% of total)

const: 4.0ms (10.8% of total)

ival-log: 3.0ms (8.1% of total)

ival-log1p: 3.0ms (8.1% of total)

ival-sub: 2.0ms (5.4% of total)

ival-neg: 1.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series70.0ms (1.1%)

Memory

-4.2MiB live, 34.7MiB allocated

Counts

19 → 65

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

Calls

6 calls:

Time	Variable		Point	Expression
42.0ms	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) (+ (* (neg y) x) (log (+ 1 (exp x)))) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- 1/2 y))
9.0ms	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) (+ (* (neg y) x) (log (+ 1 (exp x)))) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- 1/2 y))
9.0ms	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) (+ (* (neg y) x) (log (+ 1 (exp x)))) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- 1/2 y))
3.0ms	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) (+ (* (neg y) x) (log (+ 1 (exp x)))) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- 1/2 y))
3.0ms	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) (+ (* (neg y) x) (log (+ 1 (exp x)))) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- 1/2 y))

simplify146.0ms (2.3%)

Memory

12.0MiB live, 86.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	648
1	554	643
2	1594	630
3	6244	600
0	8605	525

Stop Event

1×	iter limit
1×	node limit

Counts

65 → 65

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

rewrite210.0ms (3.3%)

Memory

22.8MiB live, 223.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	214
0	62	213
1	236	213
2	1768	213
0	8445	203

Stop Event

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

Counts

19 → 339

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

Outputs
(.f64 (-.f64 (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (*.f64 x (neg.f64 y)))))
(.f64 (neg.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)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))))))
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(.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)))
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(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64) #s(literal -1/64 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal -1/8 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/7077888 binary64) #s(literal 1/512 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64)) (.f64 (.f64 x x) #s(literal -1/1536 binary64))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/7077888 binary64) #s(literal 1/512 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 (*.f64 x x) #s(literal -1/1536 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64)) (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal -1/8 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal -1/8 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64)) (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal -1/8 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64)) (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal -1/8 binary64))) (fma.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal -1/8 binary64))) (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64)) (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal -1/8 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64)))) (neg.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/192 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64) #s(literal -1/64 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal -1/8 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/7077888 binary64) #s(literal 1/512 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -1/1536 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64)) (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal -1/8 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal -1/8 binary64)) #s(literal 1/64 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal -1/8 binary64)) (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal -1/8 binary64))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64))) (-.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/192 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal -1/8 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/7077888 binary64) #s(literal 1/512 binary64))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64)) (.f64 (*.f64 x x) #s(literal -1/1536 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/7077888 binary64) #s(literal 1/512 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -1/1536 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64) #s(literal -1/64 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal -1/8 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/7077888 binary64) #s(literal 1/512 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64)) (.f64 (*.f64 x x) #s(literal -1/1536 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/7077888 binary64) #s(literal 1/512 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -1/1536 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/192 binary64))) (-.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64)) (.f64 (*.f64 x x) #s(literal -1/1536 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/7077888 binary64) #s(literal 1/512 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))))
(fma.f64 (*.f64 #s(literal -1/192 binary64) x) x #s(literal 1/8 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(fma.f64 x (*.f64 #s(literal -1/192 binary64) x) #s(literal 1/8 binary64))
(-.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/192 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64)) (-.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/192 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64)) (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal -1/8 binary64))))
(+.f64 (.f64 (.f64 x x) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/192 binary64)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))

eval100.0ms (1.6%)

Memory: -4.8MiB live, 110.4MiB allocated
Compiler: Compiled 17 959 to 1 728 computations (90.4% saved)

prune18.0ms (0.3%)

Memory

1.0MiB live, 44.9MiB allocated

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	416	6	422
Fresh	1	4	5
Picked	1	4	5
Done	0	2	2
Total	418	16	434

Accuracy

99.4%

Counts

434 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
✓	88.6%	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
	69.6%	(.f64 (-.f64 (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (*.f64 x (neg.f64 y)))))
✓	52.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
▶	51.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
	49.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
▶	30.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))
✓	52.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
	19.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y))))
▶	19.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.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 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y))) x)))
	80.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) y)))
▶	80.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)))
✓	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)))
▶	3.5%	#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)))
✓	48.7%	#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 640 to 491 computations (23.3% saved)

simplify115.0ms (1.8%)

Memory

-21.5MiB live, 145.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64))
cost-diff	0	(fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #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 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x))))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))))
cost-diff	1	(/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x))
cost-diff	2	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))
cost-diff	1	(-.f64 #s(literal 0 binary64) (*.f64 y y))
cost-diff	2	(+.f64 #s(literal 0 binary64) y)
cost-diff	4	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
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	(-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y)
cost-diff	0	#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)))
cost-diff	3	(*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	380
0	69	368
1	120	368
2	238	350
3	501	350
4	1099	350
5	2815	344
6	5425	344
0	8211	317

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 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x))
(*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)
(-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y)
(+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
#s(literal 1/2 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)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
#s(literal 0 binary64)
(*.f64 y y)
y
(+.f64 #s(literal 0 binary64) y)
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))
#s(literal 1 binary64)
(/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x))
(+.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)
(-.f64 #s(literal 1/4 binary64) (*.f64 y y))
#s(literal 1/4 binary64)
(*.f64 y y)
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
#s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
x
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(literal 1/2 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 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #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 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y)
(-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) y)
(+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64))
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
#s(literal 1/2 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)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)
(*.f64 (neg.f64 x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
(neg.f64 y)
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(*.f64 (neg.f64 y) y)
#s(literal 0 binary64)
(*.f64 y y)
y
(+.f64 #s(literal 0 binary64) y)
y
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 x (-.f64 #s(literal -1/2 binary64) y)) (fma.f64 y y #s(literal -1/4 binary64)))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 x (-.f64 #s(literal -1/2 binary64) y)) (fma.f64 y y #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))
(*.f64 (/.f64 x (-.f64 #s(literal -1/2 binary64) y)) (fma.f64 y y #s(literal -1/4 binary64)))
#s(literal 1 binary64)
(/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x))
(/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) (fma.f64 y y #s(literal -1/4 binary64))) x)
(+.f64 #s(literal 1/2 binary64) y)
(-.f64 y #s(literal -1/2 binary64))
#s(literal 1/2 binary64)
y
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)
(-.f64 #s(literal 1/4 binary64) (*.f64 y y))
#s(literal 1/4 binary64)
(*.f64 y y)
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
#s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
x
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)

localize94.0ms (1.5%)

Memory

24.3MiB live, 183.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
accuracy	18.56513438723169	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
accuracy	24.10457832346389	#s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64))
accuracy	27.905407318407235	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy	2.8482455803462066	(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)
accuracy	7.838401733903285	(/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x))
accuracy	12.709376386124733	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))))
accuracy	30.254585347198983	#s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x))))
accuracy	0.0	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)
accuracy	0.0	(*.f64 y y)
accuracy	29.107021991386418	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
accuracy	30.534883260181953	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))
accuracy	0.0	(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)
accuracy	12.709376386124733	#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	27.905407318407235	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy	30.254585347198983	#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))
accuracy	0.00390625	(-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y)
accuracy	0.08984375	(*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)
accuracy	0.2109375	(/.f64 (log.f64 #s(literal 2 binary64)) x)
accuracy	12.709376386124733	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)))

Samples

71.0ms

256×

valid

Compiler

Compiled 243 to 40 computations (83.5% saved)

Precisions

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

ival-mult: 16.0ms (30.4% of total)

ival-add: 10.0ms (19% of total)

ival-div: 6.0ms (11.4% of total)

ival-sub: 5.0ms (9.5% of total)

ival-log: 5.0ms (9.5% of total)

const: 4.0ms (7.6% 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-assert: 0.0ms (0% of total)

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

series225.0ms (3.5%)

Memory

-26.9MiB live, 127.2MiB allocated

Counts

24 → 83

Calls

Call 1

Inputs
(*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x))
(-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 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))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
(+.f64 #s(literal 0 binary64) y)
(-.f64 #s(literal 0 binary64) (*.f64 y y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))
(/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
#s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64))
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(*.f64 y y)
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)

Outputs
(log 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)))
(/ (log 2) x)
(/ (+ (log 2) (* x (- 1/2 y))) x)
(* x (- 1/2 y))
(/ (* x (- 1/4 (pow y 2))) (+ 1/2 y))
(/ (+ 1/2 y) (* x (- 1/4 (pow y 2))))
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) y)
(- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)
1/8
(+ 1/8 (* -1/192 (pow x 2)))
(* -1 (* x y))
(* x (- 1/4 (pow y 2)))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(- (+ 1/2 (/ (log 2) x)) y)
(* -1/192 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))
(* -1/192 (pow x 3))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* -1/192 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2))))))
(* x (+ 1/2 (/ (log 2) x)))
(+ (* -1 (* x y)) (* x (+ 1/2 (/ (log 2) x))))
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log 2) (* 1/2 x))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ 1/2 (/ (log 2) x))
(+ 1/2 (+ (* -1 y) (/ (log 2) x)))
(* 1/2 x)
(+ (* -1 (* x y)) (* 1/2 x))
1/2
(+ 1/2 (* -1 y))
(* -1 y)
y
(* -1 (pow y 2))
(/ 2 x)
(+ (* 4 (/ y x)) (* 2 (/ 1 x)))
(+ (* y (+ (* 8 (/ y x)) (* 4 (/ 1 x)))) (* 2 (/ 1 x)))
(+ (* y (+ (* y (+ (* 16 (/ y x)) (* 8 (/ 1 x)))) (* 4 (/ 1 x)))) (* 2 (/ 1 x)))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(pow y 2)
(* 1/4 x)
(+ (* -1 (* x (pow y 2))) (* 1/4 x))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (/ (log 2) x))) y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (- (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y))) 1))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (- (* 1/2 (/ 1 y)) 1))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))) y))
(/ (- (* -1 (/ (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (* x y)))) y)) (/ 1 x)) y)
(/ (- (* -1 (/ (+ (* 1/4 (/ 1 x)) (* 1/8 (/ 1 (* x y)))) (pow y 2))) (+ (/ 1/2 (* x y)) (/ 1 x))) y)
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (* 1/4 (/ x (pow y 2)))))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (/ (log 2) 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 (/ (+ 1/2 (/ (log 2) x)) y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (/ (+ (/ 1/4 (* x (pow y 2))) (+ (/ 1/2 (* x y)) (/ 1 x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 1/4 (/ 1 x)) (* 1/8 (/ 1 (* x y)))) y)) (* 1/2 (/ 1 x))) y)) (/ 1 x)) y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))

Calls

6 calls:

Time	Variable		Point	Expression
119.0ms	x	@	0	((* (- (+ (/ (log 2) x) 1/2) y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- (+ (/ (log 2) x) 1/2) y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (/ (- 0 (* y y)) (+ 0 y)) (+ 0 y) (- 0 (* y y)) (- (log (+ 1 (exp x))) (* x y)) (/ 1 (/ (+ 1/2 y) (* (- 1/4 (* y y)) x))) (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (/ (log 2) x) (* y y) (* (/ (- 0 (* y y)) (+ 0 y)) x) (* (- 1/4 (* y y)) x))
55.0ms	x	@	inf	((* (- (+ (/ (log 2) x) 1/2) y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- (+ (/ (log 2) x) 1/2) y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (/ (- 0 (* y y)) (+ 0 y)) (+ 0 y) (- 0 (* y y)) (- (log (+ 1 (exp x))) (* x y)) (/ 1 (/ (+ 1/2 y) (* (- 1/4 (* y y)) x))) (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (/ (log 2) x) (* y y) (* (/ (- 0 (* y y)) (+ 0 y)) x) (* (- 1/4 (* y y)) x))
31.0ms	x	@	-inf	((* (- (+ (/ (log 2) x) 1/2) y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- (+ (/ (log 2) x) 1/2) y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (/ (- 0 (* y y)) (+ 0 y)) (+ 0 y) (- 0 (* y y)) (- (log (+ 1 (exp x))) (* x y)) (/ 1 (/ (+ 1/2 y) (* (- 1/4 (* y y)) x))) (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (/ (log 2) x) (* y y) (* (/ (- 0 (* y y)) (+ 0 y)) x) (* (- 1/4 (* y y)) x))
8.0ms	y	@	-inf	((* (- (+ (/ (log 2) x) 1/2) y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- (+ (/ (log 2) x) 1/2) y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (/ (- 0 (* y y)) (+ 0 y)) (+ 0 y) (- 0 (* y y)) (- (log (+ 1 (exp x))) (* x y)) (/ 1 (/ (+ 1/2 y) (* (- 1/4 (* y y)) x))) (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (/ (log 2) x) (* y y) (* (/ (- 0 (* y y)) (+ 0 y)) x) (* (- 1/4 (* y y)) x))
5.0ms	y	@	0	((* (- (+ (/ (log 2) x) 1/2) y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- (+ (/ (log 2) x) 1/2) y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (/ (- 0 (* y y)) (+ 0 y)) (+ 0 y) (- 0 (* y y)) (- (log (+ 1 (exp x))) (* x y)) (/ 1 (/ (+ 1/2 y) (* (- 1/4 (* y y)) x))) (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (/ (log 2) x) (* y y) (* (/ (- 0 (* y y)) (+ 0 y)) x) (* (- 1/4 (* y y)) x))

simplify162.0ms (2.6%)

Memory

25.7MiB live, 183.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	240	912
1	716	892
2	2125	867
3	7048	867
0	8036	813

Stop Event

1×	iter limit
1×	node limit

Counts

83 → 82

Calls

Call 1

Inputs
(log 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)))
(/ (log 2) x)
(/ (+ (log 2) (* x (- 1/2 y))) x)
(* x (- 1/2 y))
(/ (* x (- 1/4 (pow y 2))) (+ 1/2 y))
(/ (+ 1/2 y) (* x (- 1/4 (pow y 2))))
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) y)
(- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)
1/8
(+ 1/8 (* -1/192 (pow x 2)))
(* -1 (* x y))
(* x (- 1/4 (pow y 2)))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(- (+ 1/2 (/ (log 2) x)) y)
(* -1/192 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))
(* -1/192 (pow x 3))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* -1/192 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2))))))
(* x (+ 1/2 (/ (log 2) x)))
(+ (* -1 (* x y)) (* x (+ 1/2 (/ (log 2) x))))
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log 2) (* 1/2 x))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ 1/2 (/ (log 2) x))
(+ 1/2 (+ (* -1 y) (/ (log 2) x)))
(* 1/2 x)
(+ (* -1 (* x y)) (* 1/2 x))
1/2
(+ 1/2 (* -1 y))
(* -1 y)
y
(* -1 (pow y 2))
(/ 2 x)
(+ (* 4 (/ y x)) (* 2 (/ 1 x)))
(+ (* y (+ (* 8 (/ y x)) (* 4 (/ 1 x)))) (* 2 (/ 1 x)))
(+ (* y (+ (* y (+ (* 16 (/ y x)) (* 8 (/ 1 x)))) (* 4 (/ 1 x)))) (* 2 (/ 1 x)))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(pow y 2)
(* 1/4 x)
(+ (* -1 (* x (pow y 2))) (* 1/4 x))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (/ (log 2) x))) y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (- (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y))) 1))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (- (* 1/2 (/ 1 y)) 1))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))) y))
(/ (- (* -1 (/ (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (* x y)))) y)) (/ 1 x)) y)
(/ (- (* -1 (/ (+ (* 1/4 (/ 1 x)) (* 1/8 (/ 1 (* x y)))) (pow y 2))) (+ (/ 1/2 (* x y)) (/ 1 x))) y)
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (* 1/4 (/ x (pow y 2)))))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (/ (log 2) 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 (/ (+ 1/2 (/ (log 2) x)) y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (/ (+ (/ 1/4 (* x (pow y 2))) (+ (/ 1/2 (* x y)) (/ 1 x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 1/4 (/ 1 x)) (* 1/8 (/ 1 (* x y)))) y)) (* 1/2 (/ 1 x))) y)) (/ 1 x)) y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))

Outputs
(log 2)
(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)))
(/ (log 2) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/ (+ (log 2) (* x (- 1/2 y))) x)
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) x)
(* x (- 1/2 y))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(/ (* x (- 1/4 (pow y 2))) (+ 1/2 y))
(.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))
(/ (+ 1/2 y) (* x (- 1/4 (pow y 2))))
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))
(- 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))
(- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)
(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))
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* -1/192 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (- 1/4 (pow y 2)))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y 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)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(- (+ 1/2 (/ (log 2) x)) y)
(-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y)
(* -1/192 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/192 binary64))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))
(.f64 (-.f64 (+.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1/192 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/192 binary64)))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/192 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/192 binary64))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/192 binary64)) x) 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)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/192 binary64)) (/.f64 (-.f64 (-.f64 y #s(literal 1/2 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/192 binary64)))
(* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/192 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* x (+ 1/2 (/ (log 2) x)))
(*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) x)
(+ (* -1 (* x y)) (* x (+ 1/2 (/ (log 2) x))))
(*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)
(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)))
(+ (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)))
(+ 1/2 (/ (log 2) x))
(+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1 y) (/ (log 2) x)))
(-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y)
(* 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)
(* -1 y)
(neg.f64 y)
y
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(+ (* 4 (/ y x)) (* 2 (/ 1 x)))
(fma.f64 (/.f64 #s(literal 4 binary64) x) y (/.f64 #s(literal 2 binary64) x))
(+ (* y (+ (* 8 (/ y x)) (* 4 (/ 1 x)))) (* 2 (/ 1 x)))
(fma.f64 (/.f64 y x) (fma.f64 #s(literal 8 binary64) y #s(literal 4 binary64)) (/.f64 #s(literal 2 binary64) x))
(+ (* y (+ (* y (+ (* 16 (/ y x)) (* 8 (/ 1 x)))) (* 4 (/ 1 x)))) (* 2 (/ 1 x)))
(fma.f64 (fma.f64 (/.f64 y x) (fma.f64 #s(literal 16 binary64) y #s(literal 8 binary64)) (/.f64 #s(literal 4 binary64) x)) y (/.f64 #s(literal 2 binary64) x))
(+ (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) (+ (* -1 (* x y)) (* 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 (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(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))
(pow y 2)
(*.f64 y y)
(* 1/4 x)
(*.f64 #s(literal 1/4 binary64) x)
(+ (* -1 (* x (pow y 2))) (* 1/4 x))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)
(* y (+ (* -1 x) (/ (* x (+ 1/2 (/ (log 2) x))) y)))
(.f64 (.f64 (+.f64 (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) #s(literal -1 binary64)) 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)) (/ (log 2) (* x y))) 1))
(fma.f64 (+.f64 (/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) (/.f64 #s(literal 1/2 binary64) y)) y (neg.f64 y))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (neg.f64 x)) y)
(* y (- (* 1/2 (/ 1 y)) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) y) x)
(* -1 (/ (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))) y))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) x)) y)
(/ (- (* -1 (/ (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (* x y)))) y)) (/ 1 x)) y)
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) x)) y)) y)
(/ (- (* -1 (/ (+ (* 1/4 (/ 1 x)) (* 1/8 (/ 1 (* x y)))) (pow y 2))) (+ (/ 1/2 (* x y)) (/ 1 x))) y)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y x)) (/.f64 #s(literal 1/4 binary64) x)) y)) y) (/.f64 #s(literal 1 binary64) x)) y)
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))
(.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) y)
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) y) x (/.f64 #s(literal 1/2 binary64) y)) y (neg.f64 y))
(* -1 (* x (pow y 2)))
(.f64 (.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (* 1/4 (/ x (pow y 2)))))
(.f64 (.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64) (neg.f64 x)) y) y)
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (/ (log 2) x))) y)))))
(.f64 (.f64 (+.f64 (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) #s(literal -1 binary64)) 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 (/ (+ 1/2 (/ (log 2) x)) y)))))
(fma.f64 (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) y (neg.f64 y))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (neg.f64 x)) y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)
(* -1 (/ (+ (/ 1/4 (* x (pow y 2))) (+ (/ 1/2 (* x y)) (/ 1 x))) y))
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (+.f64 (/.f64 #s(literal 1/4 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 1/4 (/ 1 x)) (* 1/8 (/ 1 (* x y)))) y)) (* 1/2 (/ 1 x))) y)) (/ 1 x)) y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y x)) (/.f64 #s(literal 1/4 binary64) x)) y)) y) (/.f64 #s(literal 1 binary64) x)) y)
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y)) y)
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) y (neg.f64 y))

rewrite164.0ms (2.6%)

Memory

11.6MiB live, 170.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	336
0	69	324
1	290	284
2	2406	284
0	8437	264

Stop Event

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

Counts

24 → 651

Calls

Call 1

Inputs
(*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x))
(-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 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))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
(+.f64 #s(literal 0 binary64) y)
(-.f64 #s(literal 0 binary64) (*.f64 y y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))
(/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
#s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64))
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(*.f64 y y)
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)

Outputs
(*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y) x)
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (.f64 y y)) x)) (neg.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 y (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 x (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (.f64 y y)))) (neg.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (.f64 y y)) x) (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))))
(/.f64 (.f64 x (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (.f64 y y))) (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x (*.f64 (neg.f64 y) x))
(fma.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) x (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (*.f64 (neg.f64 y) x))
(fma.f64 x (/.f64 (log.f64 #s(literal 2 binary64)) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x) (.f64 (neg.f64 y) x))
(+.f64 (.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) x) (.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) (.f64 (neg.f64 y) x))
(+.f64 (.f64 x (/.f64 (log.f64 #s(literal 2 binary64)) x)) (.f64 (-.f64 #s(literal 1/2 binary64) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y) x))
(.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (.f64 y y)) (pow.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (*.f64 y y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (*.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 y y)) (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) (*.f64 y y))))
(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (neg.f64 y)) (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) (.f64 (neg.f64 y) y)))) (neg.f64 (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) (neg.f64 y))))
(/.f64 (neg.f64 (-.f64 (.f64 (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 y y)) (.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) (*.f64 y y))))
(/.f64 (neg.f64 (-.f64 (.f64 (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 y)) (.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) (.f64 (neg.f64 y) y)))) (neg.f64 (.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) (neg.f64 y))))
(/.f64 (neg.f64 (fma.f64 (log.f64 #s(literal 1/2 binary64)) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (.f64 (neg.f64 x) (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (.f64 (neg.f64 x) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)) (.f64 (neg.f64 x) (-.f64 #s(literal 1/4 binary64) (.f64 y y))))) (neg.f64 (*.f64 (neg.f64 x) (+.f64 y #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 x (log.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (.f64 (/.f64 x (log.f64 #s(literal 2 binary64))) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)) (.f64 (/.f64 x (log.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 y y))))) (neg.f64 (*.f64 (/.f64 x (log.f64 #s(literal 2 binary64))) (+.f64 y #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (.f64 x (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (.f64 x (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (+.f64 y #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x))) (neg.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))) (.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) (.f64 y y))) (.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64)) (fma.f64 y (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)))) (.f64 (fma.f64 y (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (fma.f64 y (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64))) (.f64 (neg.f64 y) y)) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (*.f64 (neg.f64 y) y)))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64))) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64))) (.f64 (neg.f64 y) (pow.f64 y #s(literal 4 binary64)))) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (neg.f64 (pow.f64 y #s(literal 6 binary64))))) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (*.f64 (neg.f64 y) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64))) (.f64 y y)) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (*.f64 y y)))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64))) (neg.f64 y)) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (.f64 (neg.f64 y) y))) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (neg.f64 y)))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64))) (-.f64 y #s(literal 0 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (.f64 y y))) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (-.f64 y #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64))) y) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (.f64 y y))) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64))) (pow.f64 y #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (pow.f64 y #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64))) (/.f64 y (.f64 y y))) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (/.f64 y (*.f64 y y))))
(/.f64 (-.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 (neg.f64 y) y)) (.f64 (neg.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (.f64 (neg.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 y) y)))
(/.f64 (-.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (.f64 (neg.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 y #s(literal 4 binary64))))) (*.f64 (neg.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 (neg.f64 y) (pow.f64 y #s(literal 4 binary64)))) (.f64 (neg.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 y #s(literal 6 binary64))))) (.f64 (neg.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 y) (pow.f64 y #s(literal 4 binary64)))))
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(/.f64 (neg.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (neg.f64 y) y))) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 y) y) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (.f64 (.f64 (neg.f64 y) y) y) (neg.f64 y))
(/.f64 (.f64 y (.f64 (neg.f64 y) y)) (neg.f64 y))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 y y))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y))
(/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (neg.f64 y) y)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(/.f64 (.f64 (.f64 (neg.f64 y) y) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(/.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 (neg.f64 y) y))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y))
(/.f64 (pow.f64 y #s(literal 6 binary64)) (neg.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (*.f64 (neg.f64 y) y))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (.f64 (neg.f64 y) y) (.f64 y y)) #s(literal 2 binary64)) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (pow.f64 (/.f64 y y) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 y (-.f64 y #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 y y #s(literal 0 binary64))
(-.f64 (*.f64 y y) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (*.f64 y y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 y y))
(.f64 (/.f64 (.f64 (.f64 (neg.f64 y) y) x) (pow.f64 y #s(literal 3 binary64))) (.f64 y y))
(.f64 (/.f64 (neg.f64 (.f64 (.f64 (neg.f64 y) y) x)) (.f64 y y)) (neg.f64 y))
(.f64 (.f64 (*.f64 (neg.f64 y) y) x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (neg.f64 y) x)
(*.f64 (neg.f64 x) y)
(.f64 #s(literal -1 binary64) (.f64 y x))
(.f64 (.f64 (neg.f64 y) y) (/.f64 x y))
(.f64 (.f64 (neg.f64 y) y) (*.f64 (pow.f64 y #s(literal -1 binary64)) x))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(pow.f64 (/.f64 y (.f64 (.f64 (neg.f64 y) y) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal -1 binary64) y)))
(/.f64 (neg.f64 (.f64 x (.f64 y y))) y)
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) y)))
(/.f64 (neg.f64 (.f64 (neg.f64 x) (pow.f64 y #s(literal 3 binary64)))) (.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) y))) y)
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (neg.f64 y) y) x))) y)
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))
(/.f64 (.f64 x (.f64 y y)) (neg.f64 y))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (.f64 (neg.f64 x) (pow.f64 y #s(literal 3 binary64))) (.f64 y y))
(/.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) y)) (neg.f64 y))
(/.f64 (.f64 (.f64 y y) x) (neg.f64 y))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 y) y) x)) (neg.f64 y))
(/.f64 (.f64 (.f64 (neg.f64 y) y) x) y)
(/.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (.f64 (.f64 (neg.f64 y) y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (neg.f64 y) y) x)))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(neg.f64 (*.f64 y x))
(fma.f64 (/.f64 (.f64 (.f64 (neg.f64 y) y) x) (pow.f64 y #s(literal 3 binary64))) (.f64 y y) (.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 (/.f64 (.f64 (.f64 (neg.f64 y) y) x) (pow.f64 y #s(literal 3 binary64))) (.f64 y y) (.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 (/.f64 (neg.f64 (.f64 (.f64 (neg.f64 y) y) x)) (.f64 y y)) (neg.f64 y) (.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 (/.f64 (neg.f64 (.f64 (.f64 (neg.f64 y) y) x)) (.f64 y y)) (neg.f64 y) (.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 (.f64 (.f64 (neg.f64 y) y) x) (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 (.f64 (.f64 (neg.f64 y) y) x) (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 y) x (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 (neg.f64 y) x (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) #s(literal 0 binary64) (*.f64 (neg.f64 y) x))
(fma.f64 (neg.f64 x) y (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 (neg.f64 x) y (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 y x) (.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (.f64 y x) (.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 (.f64 (neg.f64 y) y) (/.f64 x y) (.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 (.f64 (neg.f64 y) y) (/.f64 x y) (.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 (.f64 (neg.f64 y) y) (.f64 (pow.f64 y #s(literal -1 binary64)) x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 (.f64 (neg.f64 y) y) (.f64 (pow.f64 y #s(literal -1 binary64)) x) (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (neg.f64 x) (*.f64 (neg.f64 y) x))
(fma.f64 y (neg.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 y (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 x (neg.f64 y) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 x (neg.f64 y) (*.f64 (neg.f64 x) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y x))
(+.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 (neg.f64 y) x))
(+.f64 (.f64 (neg.f64 x) #s(literal 0 binary64)) (.f64 (neg.f64 y) x))
(+.f64 (.f64 (neg.f64 y) x) (.f64 #s(literal 0 binary64) (neg.f64 x)))
(+.f64 (.f64 (neg.f64 y) x) (.f64 (neg.f64 x) #s(literal 0 binary64)))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)
(.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 y y)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 4 binary64))) x)) (neg.f64 (fma.f64 y y #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64))) x)) (neg.f64 (fma.f64 (.f64 y y) (fma.f64 y y #s(literal 1/4 binary64)) #s(literal 1/16 binary64))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (fma.f64 y y #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (fma.f64 (.f64 y y) (fma.f64 y y #s(literal 1/4 binary64)) #s(literal 1/16 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 4 binary64))) x) (fma.f64 y y #s(literal 1/4 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64))) x) (fma.f64 (.f64 y y) (fma.f64 y y #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal 1/4 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 y y) (fma.f64 y y #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))
(fma.f64 #s(literal 1/4 binary64) x (.f64 (.f64 (neg.f64 y) y) x))
(fma.f64 x #s(literal 1/4 binary64) (.f64 (.f64 (neg.f64 y) y) x))
(+.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 (*.f64 (neg.f64 y) y) x))
(+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (*.f64 (neg.f64 y) y) x))

eval102.0ms (1.6%)

Memory: -2.7MiB live, 152.1MiB allocated
Compiler: Compiled 28 611 to 3 818 computations (86.7% saved)

prune89.0ms (1.4%)

Memory

-7.4MiB live, 107.1MiB allocated

Pruning

28 alts after pruning (20 fresh and 8 done)

	Pruned	Kept	Total
New	759	18	777
Fresh	3	2	5
Picked	2	3	5
Done	1	5	6
Total	765	28	793

Accuracy

99.4%

Counts

793 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.6%	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
✓	52.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
✓	51.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
	49.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
	29.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) y) x) y))
	52.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
	29.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (neg.f64 y) y) x))))
	26.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (/.f64 (.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))
	30.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x))
	27.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 y) y) (/.f64 x y)))
✓	52.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
	49.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
	19.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 y #s(literal 1/2 binary64)))))
	21.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (.f64 (.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64) (neg.f64 x)) y) y))))))
	19.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (.f64 (.f64 (neg.f64 y) y) x))))))
	3.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 #s(literal 1/4 binary64) x))))))
	33.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
	3.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (fma.f64 (/.f64 #s(literal 4 binary64) x) y (/.f64 #s(literal 2 binary64) x))))))
	52.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))))
	3.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 #s(literal 2 binary64) x)))))
	80.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) y)) x)))
	35.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (.f64 y y)))) x)))
	80.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) y)))
✓	80.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)))
✓	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)))
✓	3.5%	#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)))
	33.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (neg.f64 x)) y))))
✓	48.7%	#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 1 872 to 811 computations (56.7% saved)

regimes37.0ms (0.6%)

Memory

17.2MiB live, 62.9MiB allocated

Counts

43 → 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 (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 #s(literal 2 binary64) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 y) y) (/.f64 x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) y) x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 y #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 #s(literal 1/4 binary64) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (neg.f64 y) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (.f64 (.f64 (neg.f64 y) y) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (fma.f64 (/.f64 #s(literal 4 binary64) x) y (/.f64 #s(literal 2 binary64) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (/.f64 (.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (.f64 (.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64) (neg.f64 x)) y) y))))))
#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(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) 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))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) y)) 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 y (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (.f64 y y)))) x)))
(.f64 (-.f64 (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (*.f64 x (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3 binary64))) #s(literal -1/192 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (pow.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #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))))

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

Calls

3 calls:

13.0ms	y
11.0ms	x
10.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

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

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes47.0ms (0.7%)

Memory

-12.2MiB live, 27.0MiB 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 (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 #s(literal 2 binary64) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 y) y) (/.f64 x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) y) x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 y #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 #s(literal 1/4 binary64) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (neg.f64 y) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (.f64 (.f64 (neg.f64 y) y) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (fma.f64 (/.f64 #s(literal 4 binary64) x) y (/.f64 #s(literal 2 binary64) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (/.f64 (.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (.f64 (.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64) (neg.f64 x)) y) y))))))
#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(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) 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:

27.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
9.0ms	y
9.0ms	x

Results

Accuracy	Segments	Branch
99.2%	2	`x`
88.6%	1	`y`
98.6%	2	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes16.0ms (0.3%)

Memory

-8.7MiB live, 30.0MiB 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 (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 #s(literal 2 binary64) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 y) y) (/.f64 x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) y) x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 y #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 #s(literal 1/4 binary64) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (neg.f64 y) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (.f64 (.f64 (neg.f64 y) y) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (fma.f64 (/.f64 #s(literal 4 binary64) x) y (/.f64 #s(literal 2 binary64) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (/.f64 (.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (.f64 (.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64) (neg.f64 x)) y) y))))))
#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(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))

Outputs

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

14.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated

Counts

28 → 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 (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 #s(literal 2 binary64) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 y) y) (/.f64 x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) y) x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 y #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 #s(literal 1/4 binary64) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (neg.f64 y) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (.f64 (.f64 (neg.f64 y) y) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (fma.f64 (/.f64 #s(literal 4 binary64) x) y (/.f64 #s(literal 2 binary64) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (/.f64 (.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (.f64 (.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64) (neg.f64 x)) y) y))))))
#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(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))

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

8.0ms

Results

Accuracy	Segments	Branch
99.0%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes12.0ms (0.2%)

Memory

-20.1MiB live, 16.0MiB 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 (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 #s(literal 2 binary64) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 y) y) (/.f64 x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) y) x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 y #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 #s(literal 1/4 binary64) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (neg.f64 y) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (.f64 (.f64 (neg.f64 y) y) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (fma.f64 (/.f64 #s(literal 4 binary64) x) y (/.f64 #s(literal 2 binary64) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (/.f64 (.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (.f64 (.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64) (neg.f64 x)) y) y))))))
#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))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
98.7%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes14.0ms (0.2%)

Memory

23.9MiB live, 23.9MiB 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 (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 #s(literal 2 binary64) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 y) y) (/.f64 x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) y) x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 y #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 #s(literal 1/4 binary64) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (neg.f64 y) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (.f64 (.f64 (neg.f64 y) y) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (fma.f64 (/.f64 #s(literal 4 binary64) x) y (/.f64 #s(literal 2 binary64) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (/.f64 (.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (.f64 (.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64) (neg.f64 x)) y) y))))))
#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:

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

Results

Accuracy	Segments	Branch
97.6%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
85.0%	2	`x`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes11.0ms (0.2%)

Memory

-29.7MiB live, 12.3MiB allocated

Counts

23 → 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 (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 #s(literal 2 binary64) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 y) y) (/.f64 x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) y) x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 y #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 #s(literal 1/4 binary64) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (neg.f64 y) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (.f64 (.f64 (neg.f64 y) y) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (fma.f64 (/.f64 #s(literal 4 binary64) x) y (/.f64 #s(literal 2 binary64) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (/.f64 (.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (.f64 (.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64) (neg.f64 x)) y) y))))))
#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:

10.0ms

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

Results

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes21.0ms (0.3%)

Memory

1.2MiB live, 38.8MiB allocated

Counts

22 → 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 (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 #s(literal 2 binary64) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 y) y) (/.f64 x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) y) x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 y #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (*.f64 #s(literal 1/4 binary64) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (neg.f64 y) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (.f64 (.f64 (neg.f64 y) y) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1/2 y) (* (- 1/4 (* y y)) x)) (fma.f64 (/.f64 #s(literal 4 binary64) x) y (/.f64 #s(literal 2 binary64) x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (/.f64 (.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) #s(approx (* (- 1/4 (* y y)) x) (.f64 (.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64) (neg.f64 x)) y) y))))))

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

Calls

3 calls:

8.0ms	x
6.0ms	y
5.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
52.3%	1	`x`
52.3%	1	`y`
52.3%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes4.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB 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	x
1.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
1.0ms	y

Results

Accuracy	Segments	Branch
3.5%	1	`y`
3.5%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
3.5%	1	`x`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

bsearch10.0ms (0.2%)

Memory

17.8MiB live, 17.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-6681007.964375475	-1668500.4525478317

Samples

5.0ms

96×

valid

Compiler

Compiled 246 to 203 computations (17.5% saved)

Precisions

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

ival-exp: 1.0ms (32.3% of total)

ival-log1p: 1.0ms (32.3% of total)

ival-mult: 1.0ms (32.3% of total)

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

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

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

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-6681007.964375475	-1668500.4525478317

Compiler

Compiled 216 to 185 computations (14.4% saved)

bsearch14.0ms (0.2%)

Memory

-15.4MiB live, 22.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-134438101129.80273	-6681007.964375475

Samples

8.0ms

128×

valid

Compiler

Compiled 260 to 227 computations (12.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (40% of total)

ival-sub: 1.0ms (20% of total)

ival-exp: 1.0ms (20% of total)

ival-log1p: 1.0ms (20% of total)

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

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

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-134438101129.80273	-6681007.964375475

Compiler

Compiled 212 to 195 computations (8% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7530038151810373	1443115992346.7515
0.0ms	4.5486286164831225e-18	0.6931368112421414

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7530038151810373	1443115992346.7515
0.0ms	4.5486286164831225e-18	0.6931368112421414

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify111.0ms (1.8%)

Memory

3.0MiB live, 40.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	301
1	102	301
2	132	301
3	174	301
4	220	301
5	333	301
6	1448	301
7	3898	301
8	7566	301

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(if (<=.f64 x #s(literal -1700000 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 -1700000 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 -6800000 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 -6800000 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 6490371073168535/1298074214633706907132624082305024 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 6490371073168535/1298074214633706907132624082305024 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 -1700000 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 -1700000 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 -6800000 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 -6800000 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 6490371073168535/1298074214633706907132624082305024 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 (or (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 6490371073168535/1298074214633706907132624082305024 binary64)) (not (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 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)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 6490371073168535/1298074214633706907132624082305024 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 (or (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 6490371073168535/1298074214633706907132624082305024 binary64)) (not (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 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)))

soundness1.1s (17.5%)

Memory

-19.1MiB live, 629.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	383	1331
1	1272	1286
2	4387	1228
0	8219	1096
0	67	194
1	180	194
2	399	194
3	1386	194
4	4243	184
5	6976	184
0	8050	150
0	8	20
0	13	20
1	47	20
2	311	20
3	2719	20
0	9082	16
0	180	648
1	554	643
2	1594	630
3	6244	600
0	8605	525

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 470 to 203 computations (56.8% saved)

preprocess309.0ms (4.9%)

Memory: 12.7MiB live, 136.6MiB allocated
Compiler: Compiled 672 to 184 computations (72.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	22	51
1	58	49
2	121	49
3	235	49
4	322	49
5	446	49
6	502	49
7	547	49
8	551	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	163	9
8	213	9
9	240	9
10	264	9
11	273	9
0	273	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	163	26
8	213	26
9	240	26
10	264	26
11	273	26
0	273	22

Iter	Nodes	Cost
0	22	51
1	58	49
2	121	49
3	235	49
4	322	49
5	446	49
6	502	49
7	547	49
8	551	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	163	9
8	213	9
9	240	9
10	264	9
11	273	9
0	273	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	163	26
8	213	26
9	240	26
10	264	26
11	273	26
0	273	22

start0.0ms (0%)

analyze81.0ms (1.3%)

sample1.2s (18.9%)

explain95.0ms (1.5%)

preprocess44.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify16.0ms (0.2%)

localize53.0ms (0.8%)

series61.0ms (1%)

simplify135.0ms (2.1%)

rewrite183.0ms (2.9%)

eval47.0ms (0.7%)

prune12.0ms (0.2%)

simplify133.0ms (2.1%)

localize104.0ms (1.6%)

series52.0ms (0.8%)

simplify149.0ms (2.3%)

rewrite256.0ms (4%)

eval128.0ms (2%)

prune32.0ms (0.5%)

simplify175.0ms (2.8%)

localize163.0ms (2.6%)

series70.0ms (1.1%)

simplify146.0ms (2.3%)

rewrite210.0ms (3.3%)

eval100.0ms (1.6%)

prune18.0ms (0.3%)

simplify115.0ms (1.8%)

localize94.0ms (1.5%)

series225.0ms (3.5%)

simplify162.0ms (2.6%)

rewrite164.0ms (2.6%)

eval102.0ms (1.6%)

prune89.0ms (1.4%)

regimes37.0ms (0.6%)

regimes47.0ms (0.7%)

regimes16.0ms (0.3%)

regimes9.0ms (0.1%)

regimes12.0ms (0.2%)

regimes14.0ms (0.2%)

regimes11.0ms (0.2%)

regimes21.0ms (0.3%)

regimes4.0ms (0.1%)

bsearch10.0ms (0.2%)

bsearch1.0ms (0%)

bsearch14.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify111.0ms (1.8%)

soundness1.1s (17.5%)

preprocess309.0ms (4.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	22	51
1	58	49
2	121	49
3	235	49
4	322	49
5	446	49
6	502	49
7	547	49
8	551	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	163	9
8	213	9
9	240	9
10	264	9
11	273	9
0	273	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	163	26
8	213	26
9	240	26
10	264	26
11	273	26
0	273	22