Metrics for Logistic regression 2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze89.0ms (1.2%)

Memory

-26.3MiB live, 167.9MiB 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)

sample1.9s (26.5%)

Memory

-131.6MiB live, 1 187.7MiB allocated

Samples

653.0ms	8 256×	0	valid
309.0ms	2 641×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 478.0ms

ival-log1p: 162.0ms (33.9% of total)

ival-mult: 105.0ms (22% of total)

ival-exp: 85.0ms (17.8% of total)

ival-sub: 72.0ms (15.1% of total)

adjust: 42.0ms (8.8% of total)

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

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

Bogosity

explain111.0ms (1.5%)

Memory

-12.3MiB live, 178.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
3	91	(-5.387388571378172e+132 6.574031644200559e+55)	-	`(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	91	0
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`	oflow-rescue	3	0
↳	`(exp.f64 x)`	overflow	3
↳	`(+.f64 #s(literal 1 binary64) (exp.f64 x))`	overflow	3

Confusion

	Predicted +	Predicted -
+	3	0
-	91	162

Precision

0.031914893617021274

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3	0	0
-	91	0	162

Precision?

0.031914893617021274

Recall?

1.0

Freqs

test

number	freq
0	162
1	94

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

49.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-sub: 19.0ms (54.1% of total)

ival-log1p: 5.0ms (14.2% of total)

ival-exp: 4.0ms (11.4% of total)

ival-mult: 4.0ms (11.4% of total)

ival-add: 2.0ms (5.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess224.0ms (3.1%)

Memory

7.5MiB live, 285.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	51
1	52	49
2	118	49
3	249	49
4	912	49
5	7599	49
0	8	9
0	13	9
1	23	9
2	43	9
3	82	9
4	221	9
5	1548	9
6	5632	9
7	7927	9
0	8417	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify157.0ms (2.2%)

Memory

-3.6MiB live, 222.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 x)
cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 x))
cost-diff	0	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
cost-diff	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	23	26
2	43	26
3	82	26
4	221	26
5	1548	26
6	5632	26
7	7927	26
0	8417	22

Stop Event

1×	iter limit
1×	node limit
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

localize21.0ms (0.3%)

Memory

34.9MiB live, 34.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 x)
accuracy	0.0078125	(+.f64 #s(literal 1 binary64) (exp.f64 x))
accuracy	0.015625	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
accuracy	0.7450006810444848	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))

Samples

15.0ms

256×

valid

Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-exp: 2.0ms (22.5% of total)

ival-log1p: 2.0ms (22.5% of total)

ival-mult: 2.0ms (22.5% of total)

ival-sub: 1.0ms (11.3% of total)

ival-add: 1.0ms (11.3% of total)

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

exact: 0.0ms (0% of total)

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

series105.0ms (1.5%)

Memory

-36.1MiB live, 123.7MiB 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
76.0ms	x	@	inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
22.0ms	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))

simplify128.0ms (1.8%)

Memory

4.1MiB live, 144.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	194
1	212	194
2	648	194
3	2113	194
4	4357	184
5	7784	184
0	8104	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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/192 binary64) (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 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 #s(literal 2 binary64) x)
(+ 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 #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 (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 x) y (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 x) y (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* 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)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))

rewrite205.0ms (2.9%)

Memory

39.6MiB live, 295.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
0	13	20
1	49	20
2	335	20
3	3391	20
0	8375	16

Stop Event

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

Counts

4 → 261

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 (sqrt.f64 (neg.f64 (neg.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (neg.f64 (neg.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (sqrt.f64 (neg.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (neg.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64))
(log1p.f64 (neg.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(/.f64 (fabs.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 (exp.f64 x)) #s(literal 2 binary64)))) (fabs.f64 (+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 x)))))
(/.f64 (fabs.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)))) (fabs.f64 (+.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))))))
(/.f64 (fabs.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 (exp.f64 x)) #s(literal 3 binary64)))) (fabs.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 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 x)))))))
(/.f64 (fabs.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)))) (fabs.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 (exp.f64 x)) #s(literal 2 binary64))) (+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.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 (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 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.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)))))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (neg.f64 (neg.f64 (log1p.f64 (exp.f64 x))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (neg.f64 (log1p.f64 (exp.f64 x)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 0 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)))) (log.f64 (+.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))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 (cosh.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))) (log.f64 (-.f64 (+.f64 (cosh.f64 x) #s(literal 1 binary64)) (sinh.f64 x))))
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eval91.0ms (1.3%)

Memory: -25.2MiB live, 86.0MiB allocated
Compiler: Compiled 6 790 to 1 195 computations (82.4% saved)

prune11.0ms (0.2%)

Memory

-16.9MiB live, 29.0MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	273	8	281
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	274	8	282

Accuracy

99.4%

Counts

282 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.9%	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
▶	43.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 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)))))
	90.9%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
	81.9%	(-.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) (*.f64 x y))
	71.7%	#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))))
▶	75.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
▶	82.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
▶	55.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))

Compiler

Compiled 296 to 216 computations (27% saved)

simplify321.0ms (4.5%)

Memory

10.0MiB live, 339.5MiB 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 6 binary64))
cost-diff	0	(-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 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)))))
cost-diff	0	(-.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
cost-diff	0	(log.f64 #s(literal 2 binary64))
cost-diff	0	(-.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) y)
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
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	39	258
0	68	258
1	117	258
2	263	258
3	873	258
4	3863	258
0	8050	258

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

localize103.0ms (1.4%)

Memory

43.6MiB live, 132.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.623378759768442	(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))
accuracy	0.6474800293053261	(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64))
accuracy	0.7301282008801974	(log1p.f64 (exp.f64 x))
accuracy	27.310422031841412	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 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)))))
accuracy	0.0	(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
accuracy	0.0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	0.0	(log.f64 #s(literal 2 binary64))
accuracy	15.576444922899775	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
accuracy	0.0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	0.0	(log.f64 #s(literal 2 binary64))
accuracy	0.0078125	(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
accuracy	11.547867690192973	#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 x) y)
accuracy	0.0	(neg.f64 x)
accuracy	28.56471600762553	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
accuracy	0.0	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
accuracy	0.0	(neg.f64 y)
accuracy	0.0	(exp.f64 x)
accuracy	0.7301282008801974	(log1p.f64 (exp.f64 x))

Samples

79.0ms

256×

valid

Compiler

Compiled 290 to 39 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-pow: 18.0ms (29.5% of total)

ival-mult: 14.0ms (22.9% of total)

ival-neg: 7.0ms (11.5% of total)

ival-add: 6.0ms (9.8% of total)

ival-sub: 4.0ms (6.5% of total)

ival-log: 3.0ms (4.9% of total)

ival-log1p: 3.0ms (4.9% of total)

ival-exp: 2.0ms (3.3% of total)

ival-pow2: 2.0ms (3.3% of total)

ival-div: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

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

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

series110.0ms (1.5%)

Memory

-2.2MiB live, 97.5MiB allocated

Counts

18 → 86

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

Outputs
(log 2)
(+ (log 2) (* x (+ 1/2 (* -1 y))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* -1 (* x y))
(* -1 x)
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) y)
(+ (log 2) (* x (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))))
(+ (log 2) (* x (- (+ (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (* x (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5))) (+ 5/8 (+ (* 2 (* 1/2 (/ 1 (log 2)))) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5))))))))) (+ 5/2 y))))
(+ (log 2) (* x (- (+ (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (* x (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (+ (* x (- (+ (* 2 (/ (* (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 5))) (+ (* 2 (/ (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2))))) (pow (log 2) 2))) (/ (pow y 3) (pow (log 2) 2)))) (+ (* 1/8 (/ 1 (log 2))) (+ (* 1/8 (/ y (log 2))) (+ (* 1/4 (/ 1 (log 2))) (+ (* 1/2 (/ (+ 1/4 (* 1/4 (log 2))) (pow (log 2) 2))) (+ (/ (* (+ 1/4 (+ (* 1/4 (log 2)) (* y (+ 1/2 y)))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (pow (log 2) 4)) (+ (/ (* (+ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (+ (* (pow (log 2) 2) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (* (pow (log 2) 3) (+ 1/4 (+ (* 1/4 (log 2)) (* y (+ 1/2 y))))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5))) (+ 5/8 (+ (/ 1 (log 2)) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5)))))))) (pow (log 2) 5))))))))))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5)))) (+ 5/8 (+ (* 2 (* 1/2 (/ 1 (log 2)))) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5))))))))) (+ 5/2 y))))
(pow (log 2) 6)
(+ (* 2 (* x (* (pow (log 2) 3) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))))) (pow (log 2) 6))
(+ (* x (+ (* 2 (* (pow (log 2) 3) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)))) (* x (+ (* 2 (* (pow (log 2) 3) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2))))) (pow (log 2) 6))
(+ (* x (+ (* 2 (* (pow (log 2) 3) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)))) (* x (+ (* 2 (* (pow (log 2) 3) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (+ (* x (+ (* 2 (* (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)))) (* 2 (* (pow (log 2) 3) (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2))))))))) (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2)))))) (pow (log 2) 6))
(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)))))) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(log (+ 1 (exp x)))
(exp x)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- 1/2 y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(* 1/8 x)
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* x y)
(* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))
(* x (- (+ y (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y)) (pow x 2)))) (/ (log (+ 1 (exp x))) x)))
(* x (- (+ y (* -1 (/ (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (pow y 2))) (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) y))) (pow x 3)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y))) (+ (/ (log (+ 1 (exp x))) x) (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y))))))
(* -1 (* (pow x 6) (pow y 6)))
(* (pow x 6) (- (/ (pow (log (+ 1 (exp x))) 6) (pow x 6)) (pow y 6)))
(pow (log (+ 1 (exp x))) 6)
(pow (log (+ 1 (exp x))) 3)
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(* -1 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (log (+ 1 (exp x)))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (* x (pow y 2)))) (/ (* (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)) (log (+ 1 (exp x)))) x)))))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 y)
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
1/2
(+ 1/2 (* -1 y))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(+ 1/2 (* 1/8 x))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(+ (log (+ 1 (exp x))) (* y (- (* -1 (* y (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x))))))) x)))
(+ (log (+ 1 (exp x))) (* y (- (* y (- (* -1 (* y (+ (* -2 (/ (pow x 3) (pow (log (+ 1 (exp x))) 2))) (* -1 (/ (* x (+ (* -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 6) (pow y 6))) (pow (log (+ 1 (exp x))) 6))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))
(* y (- (+ x (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x)) (pow y 2)))) (/ (log (+ 1 (exp x))) y)))
(* y (- (+ x (* -1 (/ (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (pow x 2))) (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) x))) (pow y 3)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))) (+ (/ (log (+ 1 (exp x))) y) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))))))
(* (pow y 6) (- (/ (pow (log (+ 1 (exp x))) 6) (pow y 6)) (pow x 6)))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(* -1 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (log (+ 1 (exp x)))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 2) y))) (/ (* (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)) (log (+ 1 (exp x)))) y)))))

Calls

6 calls:

Time	Variable		Point	Expression
42.0ms	x	@	0	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (- (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))) 6) (pow (* y x) 6)) (pow (log (+ 1 (exp x))) 6) (pow (log (+ 1 (exp x))) 3))
30.0ms	y	@	0	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (- (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))) 6) (pow (* y x) 6)) (pow (log (+ 1 (exp x))) 6) (pow (log (+ 1 (exp x))) 3))
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 x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (- (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))) 6) (pow (* y x) 6)) (pow (log (+ 1 (exp x))) 6) (pow (log (+ 1 (exp x))) 3))
12.0ms	x	@	-inf	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (- (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))) 6) (pow (* y x) 6)) (pow (log (+ 1 (exp x))) 6) (pow (log (+ 1 (exp x))) 3))
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 x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (- (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))) 6) (pow (* y x) 6)) (pow (log (+ 1 (exp x))) 6) (pow (log (+ 1 (exp x))) 3))

simplify218.0ms (3.1%)

Memory

-39.3MiB live, 340.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	431	2157
1	1577	1663
2	7256	1647
0	8957	1450

Stop Event

1×	iter limit
1×	node limit

Counts

86 → 86

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 x)
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) y)
(+ (log 2) (* x (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))))
(+ (log 2) (* x (- (+ (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (* x (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5))) (+ 5/8 (+ (* 2 (* 1/2 (/ 1 (log 2)))) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5))))))))) (+ 5/2 y))))
(+ (log 2) (* x (- (+ (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (* x (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (+ (* x (- (+ (* 2 (/ (* (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 5))) (+ (* 2 (/ (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2))))) (pow (log 2) 2))) (/ (pow y 3) (pow (log 2) 2)))) (+ (* 1/8 (/ 1 (log 2))) (+ (* 1/8 (/ y (log 2))) (+ (* 1/4 (/ 1 (log 2))) (+ (* 1/2 (/ (+ 1/4 (* 1/4 (log 2))) (pow (log 2) 2))) (+ (/ (* (+ 1/4 (+ (* 1/4 (log 2)) (* y (+ 1/2 y)))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (pow (log 2) 4)) (+ (/ (* (+ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (+ (* (pow (log 2) 2) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (* (pow (log 2) 3) (+ 1/4 (+ (* 1/4 (log 2)) (* y (+ 1/2 y))))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5))) (+ 5/8 (+ (/ 1 (log 2)) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5)))))))) (pow (log 2) 5))))))))))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5)))) (+ 5/8 (+ (* 2 (* 1/2 (/ 1 (log 2)))) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5))))))))) (+ 5/2 y))))
(pow (log 2) 6)
(+ (* 2 (* x (* (pow (log 2) 3) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))))) (pow (log 2) 6))
(+ (* x (+ (* 2 (* (pow (log 2) 3) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)))) (* x (+ (* 2 (* (pow (log 2) 3) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2))))) (pow (log 2) 6))
(+ (* x (+ (* 2 (* (pow (log 2) 3) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)))) (* x (+ (* 2 (* (pow (log 2) 3) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (+ (* x (+ (* 2 (* (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)))) (* 2 (* (pow (log 2) 3) (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2))))))))) (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2)))))) (pow (log 2) 6))
(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)))))) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(log (+ 1 (exp x)))
(exp x)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- 1/2 y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(* 1/8 x)
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* x y)
(* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))
(* x (- (+ y (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y)) (pow x 2)))) (/ (log (+ 1 (exp x))) x)))
(* x (- (+ y (* -1 (/ (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (pow y 2))) (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) y))) (pow x 3)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y))) (+ (/ (log (+ 1 (exp x))) x) (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y))))))
(* -1 (* (pow x 6) (pow y 6)))
(* (pow x 6) (- (/ (pow (log (+ 1 (exp x))) 6) (pow x 6)) (pow y 6)))
(pow (log (+ 1 (exp x))) 6)
(pow (log (+ 1 (exp x))) 3)
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(* -1 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (log (+ 1 (exp x)))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (* x (pow y 2)))) (/ (* (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)) (log (+ 1 (exp x)))) x)))))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 y)
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
1/2
(+ 1/2 (* -1 y))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(+ 1/2 (* 1/8 x))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(+ (log (+ 1 (exp x))) (* y (- (* -1 (* y (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x))))))) x)))
(+ (log (+ 1 (exp x))) (* y (- (* y (- (* -1 (* y (+ (* -2 (/ (pow x 3) (pow (log (+ 1 (exp x))) 2))) (* -1 (/ (* x (+ (* -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 6) (pow y 6))) (pow (log (+ 1 (exp x))) 6))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))
(* y (- (+ x (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x)) (pow y 2)))) (/ (log (+ 1 (exp x))) y)))
(* y (- (+ x (* -1 (/ (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (pow x 2))) (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) x))) (pow y 3)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))) (+ (/ (log (+ 1 (exp x))) y) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))))))
(* (pow y 6) (- (/ (pow (log (+ 1 (exp x))) 6) (pow y 6)) (pow x 6)))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(* -1 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (log (+ 1 (exp x)))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 2) y))) (/ (* (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)) (log (+ 1 (exp x)))) y)))))

Outputs
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (+ 1/2 (* -1 y))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 x)
(neg.f64 x)
(- 1/2 y)
(-.f64 #s(literal 1/2 binary64) y)
(- (+ 1/2 (* 1/8 x)) y)
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
(+ (log 2) (* x (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (* x (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5))) (+ 5/8 (+ (* 2 (* 1/2 (/ 1 (log 2)))) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5))))))))) (+ 5/2 y))))
(fma.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 (.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/8 binary64)) #s(literal 2 binary64) (/.f64 (.f64 #s(literal 9/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (+.f64 (+.f64 #s(literal 5/8 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64)) (log.f64 #s(literal 2 binary64)))) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 3/2 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 3/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))))) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
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(pow (log 2) 6)
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64))
(+ (* 2 (* x (* (pow (log 2) 3) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))))) (pow (log 2) 6))
(fma.f64 (.f64 (.f64 #s(literal 3/2 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) #s(literal 2 binary64)) x (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))
(+ (* x (+ (* 2 (* (pow (log 2) 3) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)))) (* x (+ (* 2 (* (pow (log 2) 3) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2))))) (pow (log 2) 6))
(fma.f64 (fma.f64 (fma.f64 #s(literal 9/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64) (.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))) x (.f64 (*.f64 #s(literal 3/2 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) #s(literal 2 binary64))) x (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))
(+ (* x (+ (* 2 (* (pow (log 2) 3) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)))) (* x (+ (* 2 (* (pow (log 2) 3) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (+ (* x (+ (* 2 (* (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)))) (* 2 (* (pow (log 2) 3) (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2))))))))) (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2)))))) (pow (log 2) 6))
(fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64) (.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) (fma.f64 (fma.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64) (.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) x (.f64 #s(literal 9/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64))))) x (.f64 (*.f64 #s(literal 3/2 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) #s(literal 2 binary64))) x (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))
(pow (log 2) 3)
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))
(+ (* x (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 3))
(fma.f64 (*.f64 #s(literal 3/2 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) x (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(+ (* x (+ (* 1/2 (pow (log 2) 2)) (+ (* x (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64) (.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) x (.f64 #s(literal 3/2 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) x (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(+ (* x (+ (* 1/2 (pow (log 2) 2)) (+ (* x (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (+ (* x (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2)))))) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64))) x (.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))) x (.f64 #s(literal 3/2 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) x (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(exp x)
(exp.f64 x)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(* x (- 1/2 y))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(* x (- (+ 1/2 (/ (log 2) x)) y))
(*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)
(* 1/8 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (.f64 x x))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x) #s(literal 1/8 binary64)) (.f64 x x))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) x)
(* x y)
(*.f64 x y)
(* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))
(*.f64 (-.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x)) x)
(* x (- (+ y (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y)) (pow x 2)))) (/ (log (+ 1 (exp x))) x)))
(*.f64 (-.f64 (-.f64 y #s(literal 0 binary64)) (/.f64 (log1p.f64 (exp.f64 x)) x)) x)
(* x (- (+ y (* -1 (/ (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (pow y 2))) (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) y))) (pow x 3)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y))) (+ (/ (log (+ 1 (exp x))) x) (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y))))))
(.f64 (-.f64 (-.f64 y (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (.f64 y y)) #s(literal -2 binary64) (*.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 x)))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (/.f64 (log1p.f64 (exp.f64 x)) x))) x)
(* -1 (* (pow x 6) (pow y 6)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (/ (pow (log (+ 1 (exp x))) 6) (pow x 6)) (pow y 6)))
(*.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))
(pow (log (+ 1 (exp x))) 6)
(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64))
(pow (log (+ 1 (exp x))) 3)
(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(*.f64 (neg.f64 (-.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x))) x)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 (neg.f64 (-.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x))) x)
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y)) x)
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (neg.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y)) x)) (.f64 x x))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 1/8 binary64)))
(* -1 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))
(*.f64 (-.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x)) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (log (+ 1 (exp x)))) x)))))
(*.f64 (neg.f64 x) (neg.f64 (-.f64 (-.f64 y #s(literal 0 binary64)) (/.f64 (log1p.f64 (exp.f64 x)) x))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (* x (pow y 2)))) (/ (* (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)) (log (+ 1 (exp x)))) x)))))
(.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (.f64 y y)) (fma.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 x)) #s(literal 0 binary64))) (neg.f64 x)) (log1p.f64 (exp.f64 x))) (neg.f64 x)) y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 y)
(neg.f64 y)
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ 1/2 (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
(+ (log (+ 1 (exp x))) (* y (- (* -1 (* y (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x))))))) x)))
(fma.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) x) y (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* y (- (* y (- (* -1 (* y (+ (* -2 (/ (pow x 3) (pow (log (+ 1 (exp x))) 2))) (* -1 (/ (* x (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x)))))) (log (+ 1 (exp x)))))))) (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x))))))) x)))
(fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 0 binary64) x (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (log1p.f64 (exp.f64 x)))) (log1p.f64 (exp.f64 x))) (neg.f64 y) #s(literal 0 binary64)) y) x) y (log1p.f64 (exp.f64 x)))
(+ (* -1 (* (pow x 6) (pow y 6))) (pow (log (+ 1 (exp x))) 6))
(fma.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)
(* y (- (* 1/2 (/ 1 y)) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y)
(* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))
(*.f64 (-.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) y)
(* y (- (+ x (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x)) (pow y 2)))) (/ (log (+ 1 (exp x))) y)))
(*.f64 (-.f64 (-.f64 x #s(literal 0 binary64)) (/.f64 (log1p.f64 (exp.f64 x)) y)) y)
(* y (- (+ x (* -1 (/ (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (pow x 2))) (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) x))) (pow y 3)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))) (+ (/ (log (+ 1 (exp x))) y) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))))))
(.f64 (-.f64 (-.f64 x (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (.f64 x x)) #s(literal -2 binary64) (*.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 x)))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (/.f64 (log1p.f64 (exp.f64 x)) y))) y)
(* (pow y 6) (- (/ (pow (log (+ 1 (exp x))) 6) (pow y 6)) (pow x 6)))
(*.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(*.f64 (neg.f64 (-.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y))) y)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 (neg.f64 (-.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y))) y)
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(*.f64 (-.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) (neg.f64 y))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(*.f64 (-.f64 x (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y)) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)) (neg.f64 y))
(* -1 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))
(*.f64 (-.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (log (+ 1 (exp x)))) y)))))
(*.f64 (neg.f64 (neg.f64 (-.f64 (-.f64 x #s(literal 0 binary64)) (/.f64 (log1p.f64 (exp.f64 x)) y)))) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 2) y))) (/ (* (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)) (log (+ 1 (exp x)))) y)))))
(.f64 (-.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (.f64 x x)) (fma.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 x)) #s(literal 0 binary64))) (neg.f64 y)) (log1p.f64 (exp.f64 x))) y)) (neg.f64 y))

rewrite208.0ms (2.9%)

Memory

18.9MiB live, 293.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	153
0	68	121
1	281	121
2	2099	121
0	8284	121

Stop Event

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

Counts

18 → 586

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

Outputs
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(fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 5 binary64)) (log1p.f64 (exp.f64 x)) (pow.f64 (*.f64 x y) #s(literal 6 binary64)))
(fma.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))
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(fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 9/2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))
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(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 (neg.f64 x) y)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))
(fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) (fabs.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 9/2 binary64))) (*.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))
(fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) (fabs.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 9/2 binary64))) (pow.f64 (*.f64 x y) #s(literal 6 binary64)))
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(fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 9/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 6 binary64)))
(fma.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64)) (fabs.f64 (pow.f64 (.f64 x y) #s(literal 9/2 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))
(fma.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64)) (pow.f64 (.f64 x y) #s(literal 9/2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))
(fma.f64 (.f64 y y) (pow.f64 (.f64 x (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))
(fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))
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(fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fabs.f64 (.f64 (.f64 x y) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))
(fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fabs.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))
(fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (.f64 x y) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))
(fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 y) (.f64 (neg.f64 x) y)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 x) y)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))
(fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))
(fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 6 binary64)))
(fma.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))
(fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (*.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))
(fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 6 binary64)))
(fma.f64 (.f64 x y) (pow.f64 (.f64 x y) #s(literal 5 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))
(fma.f64 (log1p.f64 (exp.f64 x)) (fabs.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 5 binary64))) (*.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))
(fma.f64 (log1p.f64 (exp.f64 x)) (fabs.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 5 binary64))) (pow.f64 (*.f64 x y) #s(literal 6 binary64)))
(fma.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 5 binary64)) (*.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))
(fma.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 5 binary64)) (pow.f64 (*.f64 x y) #s(literal 6 binary64)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 12 binary64)) (-.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 x y) #s(literal 12 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 6 binary64)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 18 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 12 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 12 binary64)))) (/.f64 (pow.f64 (.f64 x y) #s(literal 18 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 12 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 12 binary64)))))
(-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (*.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))
(-.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 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 6 binary64)) (*.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))
(+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 6 binary64)))
(*.f64 (neg.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64))) (neg.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64))))
(*.f64 (fabs.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 9/2 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)))
(*.f64 (fabs.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 5 binary64))) (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 6 binary64)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 5 binary64)) (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 9/2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) (fabs.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 9/2 binary64))))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 9/2 binary64)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(*.f64 (log1p.f64 (exp.f64 x)) (fabs.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 5 binary64))))
(*.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 5 binary64)))
(pow.f64 (exp.f64 #s(literal 6 binary64)) (log.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 12 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64))))
(fabs.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))
(exp.f64 (+.f64 (fma.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64) (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))) (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64) (fma.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64) (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)))))
(exp.f64 (fma.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64) (.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 6 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 6 binary64))) (sinh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 6 binary64))))
(log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 5 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)))))
(*.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal 3/2 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 (neg.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 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 (neg.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 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))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))
(fabs.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)))
(fabs.f64 (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 (cosh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64))))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))))

eval102.0ms (1.4%)

Memory: 41.7MiB live, 179.2MiB allocated
Compiler: Compiled 33 519 to 2 650 computations (92.1% saved)

prune31.0ms (0.4%)

Memory

-47.4MiB live, 57.4MiB allocated

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	712	11	723
Fresh	1	2	3
Picked	1	4	5
Done	0	0	0
Total	714	17	731

Accuracy

99.4%

Counts

731 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.9%	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
▶	90.9%	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
	43.7%	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 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 #s(approx (exp x) #s(literal 1 binary64)))) (.f64 y x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))
	81.9%	(-.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) (*.f64 x y))
▶	2.2%	#s(approx (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)))) (*.f64 x y))
	71.7%	#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))))
✓	75.7%	#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))))
▶	48.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
✓	82.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
	44.4%	#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))))
	75.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64))))
✓	55.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
▶	81.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)))
	39.3%	#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)))
▶	22.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (.f64 x x))))
	7.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
	43.9%	#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 726 to 527 computations (27.4% saved)

simplify120.0ms (1.7%)

Memory

50.6MiB live, 139.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x)
cost-diff	0	(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)
cost-diff	0	#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)))
cost-diff	0	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
cost-diff	0	(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64))
cost-diff	0	(.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (.f64 x x))
cost-diff	0	#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (.f64 x x)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (.f64 x x))))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)))) (*.f64 x y))
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	58	313
0	79	313
1	148	313
2	357	313
3	1193	313
4	3619	313
0	8212	291

Stop Event

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

Calls

Call 1

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

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

localize213.0ms (3%)

Memory

-57.6MiB live, 204.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.015625	(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x)
accuracy	0.125	(/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)
accuracy	5.2935294476258985	(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)
accuracy	11.547867690192973	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)))
accuracy	0.0	(fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
accuracy	0.0	(log.f64 #s(literal 2 binary64))
accuracy	15.576444922899775	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
accuracy	33.41331698066183	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy	0.00390625	(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64))
accuracy	15.576444922899775	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (.f64 x x))))
accuracy	22.64990453154055	(.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (.f64 x x))
accuracy	28.25630753823089	#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (.f64 x x)))
accuracy	0.0	(*.f64 x y)
accuracy	28.50183283561542	#s(approx (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)))) (*.f64 x y))
accuracy	0.0	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
accuracy	0.0	(neg.f64 y)
accuracy	0.7301282008801974	(log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))
accuracy	23.77305580070299	#s(approx (exp x) #s(literal 1 binary64))

Samples

172.0ms

256×

valid

Compiler

Compiled 228 to 47 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

ival-sub: 56.0ms (36.2% of total)

ival-neg: 26.0ms (16.8% of total)

ival-mult: 21.0ms (13.6% of total)

ival-div: 15.0ms (9.7% of total)

ival-pow: 12.0ms (7.8% of total)

ival-add: 9.0ms (5.8% of total)

ival-pow2: 8.0ms (5.2% of total)

ival-log: 3.0ms (1.9% of total)

ival-log1p: 3.0ms (1.9% of total)

ival-exp: 2.0ms (1.3% of total)

exact: 1.0ms (0.6% of total)

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

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

series90.0ms (1.3%)

Memory

20.9MiB live, 115.6MiB allocated

Counts

20 → 104

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

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 (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))))
(+ (log 2) (* x (- (+ (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (* x (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5))) (+ 5/8 (+ (* 2 (* 1/2 (/ 1 (log 2)))) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5))))))))) (+ 5/2 y))))
(+ (log 2) (* x (- (+ (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (* x (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (+ (* x (- (+ (* 2 (/ (* (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 5))) (+ (* 2 (/ (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2))))) (pow (log 2) 2))) (/ (pow y 3) (pow (log 2) 2)))) (+ (* 1/8 (/ 1 (log 2))) (+ (* 1/8 (/ y (log 2))) (+ (* 1/4 (/ 1 (log 2))) (+ (* 1/2 (/ (+ 1/4 (* 1/4 (log 2))) (pow (log 2) 2))) (+ (/ (* (+ 1/4 (+ (* 1/4 (log 2)) (* y (+ 1/2 y)))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (pow (log 2) 4)) (+ (/ (* (+ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (+ (* (pow (log 2) 2) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (* (pow (log 2) 3) (+ 1/4 (+ (* 1/4 (log 2)) (* y (+ 1/2 y))))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5))) (+ 5/8 (+ (/ 1 (log 2)) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5)))))))) (pow (log 2) 5))))))))))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5)))) (+ 5/8 (+ (* 2 (* 1/2 (/ 1 (log 2)))) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5))))))))) (+ 5/2 y))))
(* x y)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* x (- 1/2 y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(/ (- 1/2 y) x)
(/ (- (+ 1/2 (* 1/8 x)) y) x)
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) y)
(+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1))))
(/ (log 2) y)
(+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y))
(+ (* 1/2 (/ x y)) (/ (log 2) y))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(log (+ 1 (exp x)))
(exp x)
(* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))
(* x (- (+ y (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y)) (pow x 2)))) (/ (log (+ 1 (exp x))) x)))
(* x (- (+ y (* -1 (/ (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (pow y 2))) (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) y))) (pow x 3)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y))) (+ (/ (log (+ 1 (exp x))) x) (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y))))))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
1/8
(- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))
(* 1/8 x)
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (* y (- (* 1/2 (/ 1 y)) 1)))
(* x (+ (* y (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) x)))
(* x (- (* 1/2 (/ 1 y)) 1))
(* x (- (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y))) 1))
(* 1/2 (/ x y))
(* x (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y))))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (log (+ 1 (exp x)))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (* x (pow y 2)))) (/ (* (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)) (log (+ 1 (exp x)))) x)))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (* y (- 1 (* 1/2 (/ 1 y))))))
(* -1 (* x (+ (* -1 (/ (log 2) x)) (* y (- 1 (* 1/2 (/ 1 y)))))))
(* -1 (* x (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* x (- (+ 1 (* -1 (/ (log 2) (* x y)))) (* 1/2 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (log 2) (* x y))) (* 1/2 (/ 1 y)))))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 y)
(+ (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 (- (* -1 (* y (+ (* -2 (/ (pow x 3) (pow (log (+ 1 (exp x))) 2))) (* -1 (/ (* x (+ (* -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)))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))
(+ (* -1 (* x y)) (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))
(+ 1/8 (* 1/2 (/ 1 x)))
(+ 1/8 (+ (* -1 (/ y x)) (* 1/2 (/ 1 x))))
(+ 1/2 (* 1/8 x))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
1/2
(+ 1/2 (* -1 y))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(/ (+ (log 2) (* 1/2 x)) y)
(/ (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))) y)
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))
(* y (- (+ x (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x)) (pow y 2)))) (/ (log (+ 1 (exp x))) y)))
(* y (- (+ x (* -1 (/ (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (pow x 2))) (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) x))) (pow y 3)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))) (+ (/ (log (+ 1 (exp x))) y) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))))))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* y (+ (* -1 x) (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))
(* -1 (/ y x))
(* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x)))
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* -1 x)
(- (+ (* 1/2 (/ x y)) (/ (log 2) y)) x)
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(* -1 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (log (+ 1 (exp x)))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 2) y))) (/ (* (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)) (log (+ 1 (exp x)))) y)))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))))
(* -1 (* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))

Calls

6 calls:

Time	Variable		Point	Expression
31.0ms	x	@	-inf	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)))) (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (+ (/ (- 1/2 y) x) 1/8) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (/ (+ (* 1/2 x) (log 2)) y) x) y) (- (/ (+ (* 1/2 x) (log 2)) y) x) (log 2) (/ (+ (* 1/2 x) (log 2)) y))
18.0ms	y	@	inf	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)))) (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (+ (/ (- 1/2 y) x) 1/8) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (/ (+ (* 1/2 x) (log 2)) y) x) y) (- (/ (+ (* 1/2 x) (log 2)) y) x) (log 2) (/ (+ (* 1/2 x) (log 2)) y))
13.0ms	y	@	0	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)))) (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (+ (/ (- 1/2 y) x) 1/8) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (/ (+ (* 1/2 x) (log 2)) y) x) y) (- (/ (+ (* 1/2 x) (log 2)) y) x) (log 2) (/ (+ (* 1/2 x) (log 2)) y))
11.0ms	y	@	-inf	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)))) (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (+ (/ (- 1/2 y) x) 1/8) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (/ (+ (* 1/2 x) (log 2)) y) x) y) (- (/ (+ (* 1/2 x) (log 2)) y) x) (log 2) (/ (+ (* 1/2 x) (log 2)) y))
10.0ms	x	@	inf	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)))) (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (+ (/ (- 1/2 y) x) 1/8) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (/ (+ (* 1/2 x) (log 2)) y) x) y) (- (/ (+ (* 1/2 x) (log 2)) y) x) (log 2) (/ (+ (* 1/2 x) (log 2)) y))

simplify164.0ms (2.3%)

Memory

3.8MiB live, 145.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	429	2089
1	1559	1622
2	6708	1613
0	8469	1446

Stop Event

1×	iter limit
1×	node limit

Counts

104 → 104

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 (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))))
(+ (log 2) (* x (- (+ (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (* x (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5))) (+ 5/8 (+ (* 2 (* 1/2 (/ 1 (log 2)))) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5))))))))) (+ 5/2 y))))
(+ (log 2) (* x (- (+ (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (* x (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (+ (* x (- (+ (* 2 (/ (* (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 5))) (+ (* 2 (/ (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2))))) (pow (log 2) 2))) (/ (pow y 3) (pow (log 2) 2)))) (+ (* 1/8 (/ 1 (log 2))) (+ (* 1/8 (/ y (log 2))) (+ (* 1/4 (/ 1 (log 2))) (+ (* 1/2 (/ (+ 1/4 (* 1/4 (log 2))) (pow (log 2) 2))) (+ (/ (* (+ 1/4 (+ (* 1/4 (log 2)) (* y (+ 1/2 y)))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (pow (log 2) 4)) (+ (/ (* (+ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (+ (* (pow (log 2) 2) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (* (pow (log 2) 3) (+ 1/4 (+ (* 1/4 (log 2)) (* y (+ 1/2 y))))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5))) (+ 5/8 (+ (/ 1 (log 2)) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5)))))))) (pow (log 2) 5))))))))))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5)))) (+ 5/8 (+ (* 2 (* 1/2 (/ 1 (log 2)))) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5))))))))) (+ 5/2 y))))
(* x y)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* x (- 1/2 y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(/ (- 1/2 y) x)
(/ (- (+ 1/2 (* 1/8 x)) y) x)
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) y)
(+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1))))
(/ (log 2) y)
(+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y))
(+ (* 1/2 (/ x y)) (/ (log 2) y))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(log (+ 1 (exp x)))
(exp x)
(* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))
(* x (- (+ y (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y)) (pow x 2)))) (/ (log (+ 1 (exp x))) x)))
(* x (- (+ y (* -1 (/ (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (pow y 2))) (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) y))) (pow x 3)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y))) (+ (/ (log (+ 1 (exp x))) x) (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y))))))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
1/8
(- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))
(* 1/8 x)
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (* y (- (* 1/2 (/ 1 y)) 1)))
(* x (+ (* y (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) x)))
(* x (- (* 1/2 (/ 1 y)) 1))
(* x (- (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y))) 1))
(* 1/2 (/ x y))
(* x (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y))))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (log (+ 1 (exp x)))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (* x (pow y 2)))) (/ (* (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)) (log (+ 1 (exp x)))) x)))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (* y (- 1 (* 1/2 (/ 1 y))))))
(* -1 (* x (+ (* -1 (/ (log 2) x)) (* y (- 1 (* 1/2 (/ 1 y)))))))
(* -1 (* x (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* x (- (+ 1 (* -1 (/ (log 2) (* x y)))) (* 1/2 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (log 2) (* x y))) (* 1/2 (/ 1 y)))))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 y)
(+ (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 (- (* -1 (* y (+ (* -2 (/ (pow x 3) (pow (log (+ 1 (exp x))) 2))) (* -1 (/ (* x (+ (* -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)))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))
(+ (* -1 (* x y)) (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))
(+ 1/8 (* 1/2 (/ 1 x)))
(+ 1/8 (+ (* -1 (/ y x)) (* 1/2 (/ 1 x))))
(+ 1/2 (* 1/8 x))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
1/2
(+ 1/2 (* -1 y))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(/ (+ (log 2) (* 1/2 x)) y)
(/ (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))) y)
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))
(* y (- (+ x (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x)) (pow y 2)))) (/ (log (+ 1 (exp x))) y)))
(* y (- (+ x (* -1 (/ (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (pow x 2))) (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) x))) (pow y 3)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))) (+ (/ (log (+ 1 (exp x))) y) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))))))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* y (+ (* -1 x) (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))
(* -1 (/ y x))
(* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x)))
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* -1 x)
(- (+ (* 1/2 (/ x y)) (/ (log 2) y)) x)
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(* -1 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (log (+ 1 (exp x)))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 2) y))) (/ (* (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)) (log (+ 1 (exp x)))) y)))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))))
(* -1 (* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))

Outputs
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (+ 1/2 (* -1 y))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ (log 2) (* x (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (* x (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5))) (+ 5/8 (+ (* 2 (* 1/2 (/ 1 (log 2)))) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5))))))))) (+ 5/2 y))))
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(+ (log 2) (* x (- (+ (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (* x (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (+ (* x (- (+ (* 2 (/ (* (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 5))) (+ (* 2 (/ (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2))))) (pow (log 2) 2))) (/ (pow y 3) (pow (log 2) 2)))) (+ (* 1/8 (/ 1 (log 2))) (+ (* 1/8 (/ y (log 2))) (+ (* 1/4 (/ 1 (log 2))) (+ (* 1/2 (/ (+ 1/4 (* 1/4 (log 2))) (pow (log 2) 2))) (+ (/ (* (+ 1/4 (+ (* 1/4 (log 2)) (* y (+ 1/2 y)))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (pow (log 2) 4)) (+ (/ (* (+ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (+ (* (pow (log 2) 2) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (* (pow (log 2) 3) (+ 1/4 (+ (* 1/4 (log 2)) (* y (+ 1/2 y))))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5))) (+ 5/8 (+ (/ 1 (log 2)) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5)))))))) (pow (log 2) 5))))))))))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5)))) (+ 5/8 (+ (* 2 (* 1/2 (/ 1 (log 2)))) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5))))))))) (+ 5/2 y))))
(fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64) (.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/8 binary64) y #s(literal 1/4 binary64))) (log.f64 #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) 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x (fma.f64 (+.f64 (/.f64 (.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/8 binary64)) #s(literal 2 binary64) (/.f64 (.f64 #s(literal 9/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 5 binary64))))) (+.f64 (+.f64 #s(literal 5/8 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64)) (log.f64 #s(literal 2 binary64)))) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 3/2 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 3/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))))) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(* x y)
(*.f64 x y)
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(* x (- 1/2 y))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(* x (- (+ 1/2 (* 1/8 x)) y))
(*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)
(/ (- 1/2 y) x)
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(/ (- (+ 1/2 (* 1/8 x)) y) x)
(/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)
(- 1/2 y)
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(- (+ 1/2 (* 1/8 x)) y)
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
(+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1))))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y) x (log.f64 #s(literal 2 binary64)))
(/ (log 2) y)
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(+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y))
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))
(+ (* 1/2 (/ x y)) (/ (log 2) y))
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(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(exp x)
(exp.f64 x)
(* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))
(*.f64 (-.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x)) x)
(* x (- (+ y (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y)) (pow x 2)))) (/ (log (+ 1 (exp x))) x)))
(*.f64 (-.f64 (-.f64 y #s(literal 0 binary64)) (/.f64 (log1p.f64 (exp.f64 x)) x)) x)
(* x (- (+ y (* -1 (/ (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (pow y 2))) (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) y))) (pow x 3)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y))) (+ (/ (log (+ 1 (exp x))) x) (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y))))))
(.f64 (-.f64 (-.f64 y (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (.f64 y y)) #s(literal -2 binary64) (*.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 x)))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (/.f64 (log1p.f64 (exp.f64 x)) x))) x)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(* 1/8 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(.f64 (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) x) x)
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x) #s(literal 1/8 binary64)) (.f64 x x))
1/8
#s(literal 1/8 binary64)
(- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) x)
(* x (- (+ 1/2 (/ (log 2) x)) y))
(*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)
(* x (* y (- (* 1/2 (/ 1 y)) 1)))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y) x)
(* x (+ (* y (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) x)))
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y (/.f64 (log.f64 #s(literal 2 binary64)) x)) x)
(* x (- (* 1/2 (/ 1 y)) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)
(* x (- (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y))) 1))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y))))
(*.f64 (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(*.f64 (neg.f64 (-.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x))) x)
(* -1 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))
(*.f64 (-.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x)) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (log (+ 1 (exp x)))) x)))))
(*.f64 (neg.f64 x) (neg.f64 (-.f64 (-.f64 y #s(literal 0 binary64)) (/.f64 (log1p.f64 (exp.f64 x)) x))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (* x (pow y 2)))) (/ (* (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)) (log (+ 1 (exp x)))) x)))))
(.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (.f64 y y)) (fma.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 x)) #s(literal 0 binary64))) (neg.f64 x)) (log1p.f64 (exp.f64 x))) (neg.f64 x)) y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 (neg.f64 (-.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x))) x)
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (neg.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y)) x)) (.f64 x x))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 1/8 binary64)))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y)) x)
(* -1 (* x (* y (- 1 (* 1/2 (/ 1 y))))))
(.f64 (neg.f64 x) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) y))
(* -1 (* x (+ (* -1 (/ (log 2) x)) (* y (- 1 (* 1/2 (/ 1 y)))))))
(*.f64 (neg.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) y (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 x))))
(* -1 (* x (- 1 (* 1/2 (/ 1 y)))))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* -1 (* x (- (+ 1 (* -1 (/ (log 2) (* x y)))) (* 1/2 (/ 1 y)))))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y)))
(* -1 (* x (- (* -1 (/ (log 2) (* x y))) (* 1/2 (/ 1 y)))))
(*.f64 (neg.f64 x) (/.f64 (fma.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 y)
(neg.f64 y)
(+ (log (+ 1 (exp x))) (* y (- (* -1 (* y (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x))))))) x)))
(fma.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) x) y (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* y (- (* y (- (* -1 (* y (+ (* -2 (/ (pow x 3) (pow (log (+ 1 (exp x))) 2))) (* -1 (/ (* x (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x)))))) (log (+ 1 (exp x)))))))) (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x))))))) x)))
(fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 0 binary64) x (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (log1p.f64 (exp.f64 x)))) (log1p.f64 (exp.f64 x))) (neg.f64 y) #s(literal 0 binary64)) y) x) y (log1p.f64 (exp.f64 x)))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x) x)
(+ (* -1 (* x y)) (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))
(fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x) x (.f64 (neg.f64 y) x))
(+ 1/8 (* 1/2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64))
(+ 1/8 (+ (* -1 (/ y x)) (* 1/2 (/ 1 x))))
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64))
(+ 1/2 (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) 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)))
(/ (+ (log 2) (* 1/2 x)) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)
(/ (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))) y)
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) y)
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))
(*.f64 (-.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) y)
(* y (- (+ x (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x)) (pow y 2)))) (/ (log (+ 1 (exp x))) y)))
(*.f64 (-.f64 (-.f64 x #s(literal 0 binary64)) (/.f64 (log1p.f64 (exp.f64 x)) y)) y)
(* y (- (+ x (* -1 (/ (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (pow x 2))) (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) x))) (pow y 3)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))) (+ (/ (log (+ 1 (exp x))) y) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))))))
(.f64 (-.f64 (-.f64 x (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (.f64 x x)) #s(literal -2 binary64) (*.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 x)))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 0 binary64))) y)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)
(* y (+ (* -1 x) (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))
(.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (.f64 x x) (neg.f64 x)) y)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x)))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) y)
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y)
(* y (- (* 1/2 (/ 1 y)) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)
(* -1 x)
(neg.f64 x)
(- (+ (* 1/2 (/ x y)) (/ (log 2) y)) x)
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x)
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(*.f64 (neg.f64 (-.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y))) y)
(* -1 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))
(*.f64 (-.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (log (+ 1 (exp x)))) y)))))
(*.f64 (neg.f64 (neg.f64 (-.f64 (-.f64 x #s(literal 0 binary64)) (/.f64 (log1p.f64 (exp.f64 x)) y)))) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 2) y))) (/ (* (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)) (log (+ 1 (exp x)))) y)))))
(.f64 (-.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (.f64 x x)) (fma.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 x)) #s(literal 0 binary64))) (neg.f64 y)) (log1p.f64 (exp.f64 x))) y)) (neg.f64 y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 (neg.f64 (-.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y))) y)
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(*.f64 (-.f64 x (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y)) (neg.f64 y))
(* -1 (* y (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))))
(.f64 (fma.f64 (.f64 (neg.f64 x) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x) (neg.f64 y))
(* -1 (* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x))))
(neg.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64) #s(literal -1/8 binary64)) y) y (/.f64 y x)))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)) (neg.f64 y))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(*.f64 (-.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) (neg.f64 y))

rewrite187.0ms (2.6%)

Memory

14.3MiB live, 147.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	278
0	79	278
1	383	264
2	2988	238
0	8348	224

Stop Event

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

Counts

20 → 142

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

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

eval102.0ms (1.4%)

Memory: -31.3MiB live, 68.7MiB allocated
Compiler: Compiled 9 481 to 1 145 computations (87.9% saved)

prune16.0ms (0.2%)

Memory

27.6MiB live, 27.6MiB allocated

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	232	7	239
Fresh	1	7	8
Picked	2	3	5
Done	0	4	4
Total	235	21	256

Accuracy

99.4%

Counts

256 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.9%	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
✓	90.9%	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
	43.7%	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 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 #s(approx (exp x) #s(literal 1 binary64)))) (.f64 y x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))
▶	81.9%	(-.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) (*.f64 x y))
✓	2.2%	#s(approx (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)))) (*.f64 x y))
	71.7%	#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))))
✓	75.7%	#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))))
✓	48.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
✓	82.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
	44.4%	#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))))
▶	48.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (log.f64 #s(literal 2 binary64))))
✓	55.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
	39.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (-.f64 #s(approx (/ (+ ( 1/2 x) (log 2)) y) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) x) y)))
▶	39.3%	#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)))
	44.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 #s(approx (- (/ (+ ( 1/2 x) (log 2)) y) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) y)))
	39.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 #s(approx (- (/ (+ ( 1/2 x) (log 2)) y) x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)) y)))
	7.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
▶	7.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64))) (.f64 x x))))
▶	30.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (.f64 x x) (neg.f64 x)) y))))
	32.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
	43.9%	#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 1 014 to 721 computations (28.9% saved)

simplify172.0ms (2.4%)

Memory

-27.7MiB live, 123.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	437
0	71	437
1	118	437
2	276	437
3	831	437
4	2657	429
5	7856	429
0	8711	405

Stop Event

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

Calls

Call 1

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

localize93.0ms (1.3%)

Memory

1.9MiB live, 135.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x)
accuracy	0.01953125	(+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (log.f64 #s(literal 2 binary64)))
accuracy	15.576444922899775	#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (log.f64 #s(literal 2 binary64))))
accuracy	33.41331698066183	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy	2.381164409763617	(.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (.f64 x x) (neg.f64 x)) y)
accuracy	15.451808541780647	(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (*.f64 x x) (neg.f64 x))
accuracy	15.576444922899775	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (.f64 x x) (neg.f64 x)) y))))
accuracy	28.25630753823089	#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (.f64 x x) (neg.f64 x)) y)))
accuracy	15.576444922899775	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64))) (.f64 x x))))
accuracy	22.64990453154055	(.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64))) (.f64 x x))
accuracy	27.06280537714881	#s(approx (+ (/ (- 1/2 y) x) 1/8) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)))
accuracy	28.25630753823089	#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64))) (.f64 x x)))
accuracy	0.0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	0.0078125	(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
accuracy	11.547867690192973	#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	28.496259806417065	#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
accuracy	0.0	(log.f64 #s(literal 2 binary64))
accuracy	0.00390625	(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
accuracy	0.015625	(-.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) (*.f64 x y))
accuracy	23.623612980090765	#s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))

Samples

57.0ms

256×

valid

Compiler

Compiled 244 to 32 computations (86.9% saved)

Precisions

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

ival-mult: 13.0ms (35.3% of total)

ival-add: 7.0ms (19% of total)

ival-div: 5.0ms (13.6% of total)

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

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

ival-exp: 2.0ms (5.4% 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)

series40.0ms (0.6%)

Memory

3.9MiB live, 60.0MiB allocated

Counts

22 → 78

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	x	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ (* 1/2 x) (log 2)) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (+ (/ (- 1/2 y) x) 1/8) (* (+ (* (/ (+ (/ 1/2 x) 1/8) y) (* x x)) (neg x)) y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (- (log (+ 1 (exp x))) (* x y)) (* (+ (* 1/8 x) (- 1/2 y)) x) (+ (* 1/8 x) (- 1/2 y)) (+ (* (/ (+ (/ 1/2 x) 1/8) y) (* x x)) (neg x)) (- 1/2 y))
10.0ms	x	@	inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ (* 1/2 x) (log 2)) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (+ (/ (- 1/2 y) x) 1/8) (* (+ (* (/ (+ (/ 1/2 x) 1/8) y) (* x x)) (neg x)) y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (- (log (+ 1 (exp x))) (* x y)) (* (+ (* 1/8 x) (- 1/2 y)) x) (+ (* 1/8 x) (- 1/2 y)) (+ (* (/ (+ (/ 1/2 x) 1/8) y) (* x x)) (neg x)) (- 1/2 y))
8.0ms	y	@	0	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ (* 1/2 x) (log 2)) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (+ (/ (- 1/2 y) x) 1/8) (* (+ (* (/ (+ (/ 1/2 x) 1/8) y) (* x x)) (neg x)) y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (- (log (+ 1 (exp x))) (* x y)) (* (+ (* 1/8 x) (- 1/2 y)) x) (+ (* 1/8 x) (- 1/2 y)) (+ (* (/ (+ (/ 1/2 x) 1/8) y) (* x x)) (neg x)) (- 1/2 y))
4.0ms	y	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ (* 1/2 x) (log 2)) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (+ (/ (- 1/2 y) x) 1/8) (* (+ (* (/ (+ (/ 1/2 x) 1/8) y) (* x x)) (neg x)) y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (- (log (+ 1 (exp x))) (* x y)) (* (+ (* 1/8 x) (- 1/2 y)) x) (+ (* 1/8 x) (- 1/2 y)) (+ (* (/ (+ (/ 1/2 x) 1/8) y) (* x x)) (neg x)) (- 1/2 y))
4.0ms	y	@	inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ (* 1/2 x) (log 2)) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (+ (/ (- 1/2 y) x) 1/8) (* (+ (* (/ (+ (/ 1/2 x) 1/8) y) (* x x)) (neg x)) y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (- (log (+ 1 (exp x))) (* x y)) (* (+ (* 1/8 x) (- 1/2 y)) x) (+ (* 1/8 x) (- 1/2 y)) (+ (* (/ (+ (/ 1/2 x) 1/8) y) (* x x)) (neg x)) (- 1/2 y))

simplify103.0ms (1.4%)

Memory

26.8MiB live, 160.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	703
1	654	691
2	2253	670
0	8360	619

Stop Event

1×	iter limit
1×	node limit

Counts

78 → 78

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

rewrite227.0ms (3.2%)

Memory

-36.8MiB live, 207.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	383
0	71	383
1	275	383
2	2041	383
0	8894	359

Stop Event

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

Counts

22 → 221

Calls

Call 1

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

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

eval74.0ms (1%)

Memory: 20.9MiB live, 66.3MiB allocated
Compiler: Compiled 14 221 to 1 372 computations (90.4% saved)

prune35.0ms (0.5%)

Memory

-12.6MiB live, 34.4MiB allocated

Pruning

28 alts after pruning (17 fresh and 11 done)

	Pruned	Kept	Total
New	269	9	278
Fresh	1	8	9
Picked	1	4	5
Done	0	7	7
Total	271	28	299

Accuracy

99.4%

Counts

299 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.9%	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
✓	90.9%	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
	43.7%	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 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 #s(approx (exp x) #s(literal 1 binary64)))) (.f64 y x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))
✓	81.9%	(-.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) (*.f64 x y))
✓	2.2%	#s(approx (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)))) (*.f64 x y))
	71.7%	#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))))
✓	75.7%	#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))))
✓	48.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
✓	82.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
	44.4%	#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))))
✓	48.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (log.f64 #s(literal 2 binary64))))
	48.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 1/8 binary64) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64)))) (/.f64 (.f64 (neg.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64))) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) (-.f64 (.f64 #s(literal 1/8 binary64) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64))))) x) (log.f64 #s(literal 2 binary64))))
✓	55.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
	43.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
	21.5%	#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)))))
	39.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (-.f64 #s(approx (/ (+ ( 1/2 x) (log 2)) y) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) x) y)))
	44.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 #s(approx (- (/ (+ ( 1/2 x) (log 2)) y) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) y)))
	39.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 #s(approx (- (/ (+ ( 1/2 x) (log 2)) y) x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)) y)))
	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)))
	7.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
✓	7.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64))) (.f64 x x))))
✓	30.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (.f64 x x) (neg.f64 x)) y))))
	30.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (/.f64 (.f64 x x) y) (neg.f64 x)) y))))
	32.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
	27.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (.f64 #s(approx (+ ( (/ (+ (/ 1/2 x) 1/8) y) (* x x)) (neg x)) (.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (.f64 x x))) y))))
	6.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (.f64 #s(approx (+ ( (/ (+ (/ 1/2 x) 1/8) y) (* x x)) (neg x)) (.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x) x)) y))))
	7.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (.f64 #s(approx (+ ( (/ (+ (/ 1/2 x) 1/8) y) (* x x)) (neg x)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/8 binary64))) y))))
	22.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) #s(approx (* (+ (* (/ (+ (/ 1/2 x) 1/8) y) (* x x)) (neg x)) y) (.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 y x) #s(literal 1/8 binary64)) (.f64 x x))))))

Compiler

Compiled 2 115 to 883 computations (58.3% saved)

regimes32.0ms (0.5%)

Memory

-0.2MiB live, 43.6MiB allocated

Counts

36 → 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 (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64))) (.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 #s(approx (- (/ (+ ( 1/2 x) (log 2)) y) x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (-.f64 #s(approx (/ (+ ( 1/2 x) (log 2)) y) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) x) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (.f64 #s(approx (+ ( (/ (+ (/ 1/2 x) 1/8) y) (* x x)) (neg x)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/8 binary64))) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 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)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (.f64 #s(approx (+ ( (/ (+ (/ 1/2 x) 1/8) y) (* x x)) (neg x)) (.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x) x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) #s(approx (* (+ (* (/ (+ (/ 1/2 x) 1/8) y) (* x x)) (neg x)) y) (.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 y x) #s(literal 1/8 binary64)) (.f64 x x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (/.f64 (.f64 x x) y) (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (.f64 x x) (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (.f64 #s(approx (+ ( (/ (+ (/ 1/2 x) 1/8) y) (* x x)) (neg x)) (.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (.f64 x x))) y))))
#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)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (log.f64 #s(literal 2 binary64))))
(-.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 #s(approx (- (/ (+ ( 1/2 x) (log 2)) y) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 1/8 binary64) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64)))) (/.f64 (.f64 (neg.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64))) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) (-.f64 (.f64 #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 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 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 #s(approx (exp x) #s(literal 1 binary64)))) (.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 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 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:

9.0ms	y
9.0ms	x
8.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
98.9%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
98.9%	1	`x`
98.9%	1	`y`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes26.0ms (0.4%)

Memory

39.7MiB live, 39.7MiB 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 (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64))) (.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 #s(approx (- (/ (+ ( 1/2 x) (log 2)) y) x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (-.f64 #s(approx (/ (+ ( 1/2 x) (log 2)) y) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) x) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (.f64 #s(approx (+ ( (/ (+ (/ 1/2 x) 1/8) y) (* x x)) (neg x)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/8 binary64))) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 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)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (.f64 #s(approx (+ ( (/ (+ (/ 1/2 x) 1/8) y) (* x x)) (neg x)) (.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x) x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) #s(approx (* (+ (* (/ (+ (/ 1/2 x) 1/8) y) (* x x)) (neg x)) y) (.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 y x) #s(literal 1/8 binary64)) (.f64 x x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (/.f64 (.f64 x x) y) (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (.f64 x x) (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (.f64 #s(approx (+ ( (/ (+ (/ 1/2 x) 1/8) y) (* x x)) (neg x)) (.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (.f64 x x))) y))))
#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)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (log.f64 #s(literal 2 binary64))))
(-.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 #s(approx (- (/ (+ ( 1/2 x) (log 2)) y) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 1/8 binary64) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64)))) (/.f64 (.f64 (neg.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64))) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) (-.f64 (.f64 #s(literal 1/8 binary64) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64))))) x) (log.f64 #s(literal 2 binary64))))

Outputs

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

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

8.0ms	y
8.0ms	x
7.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
97.0%	2	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
98.4%	2	`x`
90.9%	1	`y`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes15.0ms (0.2%)

Memory

-41.3MiB live, 11.8MiB allocated

Counts

30 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
98.4%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB 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 (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64))) (.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 #s(approx (- (/ (+ ( 1/2 x) (log 2)) y) x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (-.f64 #s(approx (/ (+ ( 1/2 x) (log 2)) y) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) x) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (.f64 #s(approx (+ ( (/ (+ (/ 1/2 x) 1/8) y) (* x x)) (neg x)) (.f64 (.f64 (/.f64 x y) x) #s(literal 1/8 binary64))) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 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)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (.f64 #s(approx (+ ( (/ (+ (/ 1/2 x) 1/8) y) (* x x)) (neg x)) (.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x) x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) #s(approx (* (+ (* (/ (+ (/ 1/2 x) 1/8) y) (* x x)) (neg x)) y) (.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 y x) #s(literal 1/8 binary64)) (.f64 x x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (/.f64 (.f64 x x) y) (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (.f64 x x) (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (.f64 #s(approx (+ ( (/ (+ (/ 1/2 x) 1/8) y) (* x x)) (neg x)) (.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (.f64 x x))) y))))
#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)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (log.f64 #s(literal 2 binary64))))
(-.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))) (*.f64 x y))

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
98.2%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
97.9%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
97.9%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes13.0ms (0.2%)

Memory

-22.6MiB live, 24.1MiB allocated

Counts

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.0%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
81.0%	3	`x`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes6.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

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

Outputs

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

#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 x) y))

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
95.7%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes17.0ms (0.2%)

Memory

-17.7MiB live, 28.2MiB allocated

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
55.4%	1	`x`
55.4%	1	`y`
55.4%	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

9.3MiB live, 9.3MiB allocated

Accuracy

Total -1.2b remaining (-1.9%)

Threshold costs -1.2b (-1.9%)

Counts

2 → 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 (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)))) (*.f64 x y))

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

Results

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

Compiler

Compiled 11 to 12 computations (-9.1% saved)

bsearch10.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-3.4471697371147583	-0.2341348748887733

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 (29.4% of total)

ival-log1p: 1.0ms (29.4% of total)

ival-mult: 1.0ms (29.4% of total)

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

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

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

bsearch13.0ms (0.2%)

Memory

19.5MiB live, 19.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-7264.464262860511	-3.4471697371147583

Samples

7.0ms

128×

valid

Compiler

Compiled 284 to 243 computations (14.4% saved)

Precisions

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

ival-sub: 1.0ms (25.5% of total)

ival-exp: 1.0ms (25.5% of total)

ival-log1p: 1.0ms (25.5% of total)

ival-mult: 1.0ms (25.5% of total)

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

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

bsearch11.0ms (0.2%)

Memory

-31.1MiB live, 14.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-3.4471697371147583	-0.2341348748887733

Samples

4.0ms

64×

valid

Compiler

Compiled 198 to 173 computations (12.6% saved)

Precisions

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

ival-exp: 1.0ms (43.6% of total)

ival-log1p: 1.0ms (43.6% of total)

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

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

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

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

bsearch5.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	-7264.464262860511	-3.4471697371147583

Samples

3.0ms

48×

valid

Compiler

Compiled 196 to 179 computations (8.7% saved)

Precisions

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

ival-exp: 1.0ms (64.4% of total)

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

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

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

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

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

bsearch1.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-7264.464262860511	-3.4471697371147583

Compiler

Compiled 212 to 195 computations (8% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.136792024566359	25.294195403021646
0.0ms	0.08752522578257668	0.6691982601111862

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.136792024566359	25.294195403021646
0.0ms	0.08752522578257668	0.6691982601111862

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify47.0ms (0.7%)

Memory

-10.2MiB live, 44.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	75	329
1	108	328
2	139	328
3	188	328
4	329	328
5	1673	328
6	6019	328

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 -5/2 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -28 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -3039929748475085/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -30 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) (fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -30 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 x) y)) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 2 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 2 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 x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.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 -5/2 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -28 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -3039929748475085/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -30 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) (fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -30 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 x) y)) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 2 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))))
(if (or (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3602879701896397/36028797018963968 binary64)) (not (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (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 3602879701896397/36028797018963968 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 2 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 x) y))))
(if (or (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3602879701896397/36028797018963968 binary64)) (not (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))

soundness1.1s (14.9%)

Memory

-10.9MiB live, 601.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
0	13	20
1	49	20
2	335	20
3	3391	20
0	8375	16
0	431	2157
1	1577	1663
2	7256	1647
0	8957	1450
0	67	194
1	212	194
2	648	194
3	2113	194
4	4357	184
5	7784	184
0	8104	150
0	188	703
1	654	691
2	2253	670
0	8360	619

Stop Event

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

Compiler

Compiled 532 to 234 computations (56% saved)

preprocess85.0ms (1.2%)

Memory: 2.5MiB live, 142.1MiB allocated
Compiler: Compiled 726 to 202 computations (72.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze89.0ms (1.2%)

sample1.9s (26.5%)

explain111.0ms (1.5%)

preprocess224.0ms (3.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify157.0ms (2.2%)

localize21.0ms (0.3%)

series105.0ms (1.5%)

simplify128.0ms (1.8%)

rewrite205.0ms (2.9%)

eval91.0ms (1.3%)

prune11.0ms (0.2%)

simplify321.0ms (4.5%)

localize103.0ms (1.4%)

series110.0ms (1.5%)

simplify218.0ms (3.1%)

rewrite208.0ms (2.9%)

eval102.0ms (1.4%)

prune31.0ms (0.4%)

simplify120.0ms (1.7%)

localize213.0ms (3%)

series90.0ms (1.3%)

simplify164.0ms (2.3%)

rewrite187.0ms (2.6%)

eval102.0ms (1.4%)

prune16.0ms (0.2%)

simplify172.0ms (2.4%)

localize93.0ms (1.3%)

series40.0ms (0.6%)

simplify103.0ms (1.4%)

rewrite227.0ms (3.2%)

eval74.0ms (1%)

prune35.0ms (0.5%)

regimes32.0ms (0.5%)

regimes26.0ms (0.4%)

regimes15.0ms (0.2%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes13.0ms (0.2%)

regimes6.0ms (0.1%)

regimes17.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch10.0ms (0.1%)

bsearch13.0ms (0.2%)

bsearch11.0ms (0.2%)

bsearch5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify47.0ms (0.7%)

soundness1.1s (14.9%)

preprocess85.0ms (1.2%)

end0.0ms (0%)

Profiling