Metrics for Logistic regression 2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze67.0ms (1.3%)

Memory

-4.0MiB live, 97.1MiB 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)

sample1.0s (19.3%)

Memory

32.5MiB live, 967.9MiB allocated

Samples

482.0ms	8 256×	0	valid
190.0ms	2 586×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 427.0ms

ival-log1p: 121.0ms (28.3% of total)

ival-mult: 116.0ms (27.2% of total)

ival-exp: 90.0ms (21.1% of total)

ival-sub: 50.0ms (11.7% of total)

adjust: 38.0ms (8.9% of total)

ival-true: 8.0ms (1.9% of total)

ival-assert: 5.0ms (1.2% of total)

Bogosity

explain89.0ms (1.7%)

Memory

-19.0MiB live, 82.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
1	83	(-4234442623741629.0 2.079585487179913e-136)	-	`(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	84	0

Confusion

	Predicted +	Predicted -
+	1	0
-	83	172

Precision

0.011904761904761904

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	83	0	172

Precision?

0.011904761904761904

Recall?

1.0

Freqs

test

number	freq
0	172
1	84

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-log1p: 5.0ms (27.4% of total)

ival-exp: 4.0ms (21.9% of total)

ival-mult: 4.0ms (21.9% of total)

ival-sub: 2.0ms (11% of total)

ival-add: 2.0ms (11% of total)

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

exact: 0.0ms (0% of total)

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

preprocess165.0ms (3.1%)

Memory

8.5MiB live, 67.6MiB 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: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify143.0ms (2.7%)

Memory

-13.5MiB live, 57.7MiB 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

localize20.0ms (0.4%)

Memory

11.9MiB live, 11.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 x)
accuracy	0.00390625	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
accuracy	0.0078125	(+.f64 #s(literal 1 binary64) (exp.f64 x))
accuracy	0.08843902227063309	(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 (23.4% of total)

ival-log1p: 2.0ms (23.4% of total)

ival-mult: 2.0ms (23.4% of total)

ival-sub: 1.0ms (11.7% of total)

ival-add: 1.0ms (11.7% of total)

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

exact: 0.0ms (0% of total)

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

series51.0ms (1%)

Memory

-3.9MiB live, 26.0MiB 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
25.0ms	x	@	inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
21.0ms	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))

simplify118.0ms (2.2%)

Memory

17.9MiB live, 46.5MiB 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)))

rewrite157.0ms (3%)

Memory

-4.0MiB live, 63.3MiB 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))))
(-.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 x)))
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eval34.0ms (0.6%)

Memory: 0.6MiB live, 30.9MiB allocated
Compiler: Compiled 6 790 to 1 195 computations (82.4% saved)

prune9.0ms (0.2%)

Memory

-16.9MiB live, 14.7MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	272	9	281
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	273	9	282

Accuracy

100.0%

Counts

282 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (neg.f64 x) y))
▶	100.0%	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
	61.0%	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 9 binary64))) (.f64 (+.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 y x) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 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)))))
▶	66.6%	(-.f64 (+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x y))
	89.6%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
▶	71.4%	#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))))
	75.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
▶	80.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
▶	50.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))

Compiler

Compiled 342 to 234 computations (31.6% saved)

simplify123.0ms (2.3%)

Memory

17.9MiB live, 50.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 (log1p.f64 (exp.f64 x)))
cost-diff	0	(cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
cost-diff	0	(-.f64 (+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x y))
cost-diff	8	(+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
cost-diff	0	(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
cost-diff	0	(log.f64 #s(literal 2 binary64))
cost-diff	0	(-.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
cost-diff	0	(neg.f64 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	34	186
0	58	170
1	101	170
2	219	170
3	663	170
4	2976	170
5	7082	170
0	9662	170

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

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

localize80.0ms (1.5%)

Memory

-15.5MiB live, 45.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.016882531620653757	(cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
accuracy	0.020788781620653757	(sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
accuracy	0.028007519536884032	(log.f64 (log1p.f64 (exp.f64 x)))
accuracy	0.8103096740259632	(+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
accuracy	0.00390625	(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y))
accuracy	0.006191259768442017	(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
accuracy	0.0078125	(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
accuracy	0.3528409694196888	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
accuracy	0.0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	0.0	(log.f64 #s(literal 2 binary64))
accuracy	0.0078125	(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
accuracy	0.42289660879629276	#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	31.792626306849833	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
accuracy	0.0	(neg.f64 y)
accuracy	0.0	(exp.f64 x)
accuracy	0.00390625	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
accuracy	0.01171875	(log1p.f64 (exp.f64 x))

Samples

41.0ms	172×	0	valid
18.0ms	80×	0	exit
1.0ms	3×	1	exit
1.0ms	1×	1	valid

Compiler

Compiled 193 to 33 computations (82.9% saved)

Precisions

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

ival-mult: 12.0ms (27.2% of total)

ival-add: 7.0ms (15.9% of total)

ival-log: 5.0ms (11.3% of total)

ival-cosh: 4.0ms (9.1% of total)

const: 4.0ms (9.1% of total)

ival-sub: 3.0ms (6.8% of total)

ival-log1p: 3.0ms (6.8% of total)

ival-exp: 2.0ms (4.5% of total)

ival-sinh: 2.0ms (4.5% of total)

ival-neg: 2.0ms (4.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series93.0ms (1.8%)

Memory

25.6MiB live, 54.5MiB allocated

Counts

20 → 90

Calls

Call 1

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

Outputs
(log 2)
(+ (log 2) (* x (+ 1/2 (* -1 y))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* -1 (* x y))
(* -1 x)
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) y)
(- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)
1/8
(+ 1/8 (* -1/192 (pow x 2)))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (* 1/2 (- (log 2) (/ 1 (log 2)))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2)))))))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (+ (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))))) (* 1/2 (- (+ (* 1/4 (/ 1 (pow (log 2) 3))) (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))))))))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (+ (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))))) (+ (* 1/2 (- (+ (* 1/4 (/ 1 (pow (log 2) 3))) (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/48 (/ 1 (pow (log 2) 3))) (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))) (+ (* -1 (/ (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/48 (/ 1 (pow (log 2) 3))))) (log 2))) (+ (* -1/2 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))) (log 2))) (* 1/2 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2))))))) (* 1/2 (- (* (log 2) (+ (* 1/48 (/ 1 (pow (log 2) 3))) (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))) (+ (* -1/2 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2))) (+ (* 1/48 (/ 1 (pow (log 2) 4))) (+ (* 1/6 (/ (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2)))) (log 2))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2))) (* 1/2 (/ (- (* 1/4 (/ 1 (pow (log 2) 3))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))))) (log 2)))))))))))))))))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (- (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2)))))) y))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (- (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (+ (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))))) (* 1/2 (- (+ (* 1/4 (/ 1 (pow (log 2) 3))) (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))))))) y))))
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(* 1/2 (+ (log 2) (/ 1 (log 2))))
(+ (* 1/2 (* x (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2)))))) (* 1/2 (+ (log 2) (/ 1 (log 2)))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (* x (- (+ (* 1/4 (/ 1 (pow (log 2) 3))) (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))))))) (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))))))
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(log (log 2))
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(* 1/2 (- (log 2) (/ 1 (log 2))))
(+ (* 1/2 (* x (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2)))))) (* 1/2 (- (log 2) (/ 1 (log 2)))))
(+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (* x (- (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3))))))) (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))))))
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(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(log (+ 1 (exp x)))
(exp x)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- 1/2 y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* -1/192 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))
(* -1/192 (pow x 3))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* -1/192 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))))
(* x (- (+ (* 1/2 (/ (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) x)) (* 1/2 (/ (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) x))) y))
(* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))
(log (log (+ 1 (exp x))))
(* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
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(* -1 (* x (- (* -1 (/ (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))) x)) (* -1 y))))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 y)
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
1/2
(+ 1/2 (* -1 y))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(+ (* -1 (* x y)) (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))
(* y (- (+ (* 1/2 (/ (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) y)) (* 1/2 (/ (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) y))) x))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))) y)) (* -1 x))))

Calls

6 calls:

Time	Variable		Point	Expression
42.0ms	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)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (cosh (log (log (+ 1 (exp x))))) (log (log (+ 1 (exp x)))) (sinh (log (log (+ 1 (exp x))))))
23.0ms	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)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (cosh (log (log (+ 1 (exp x))))) (log (log (+ 1 (exp x)))) (sinh (log (log (+ 1 (exp x))))))
10.0ms	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)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (cosh (log (log (+ 1 (exp x))))) (log (log (+ 1 (exp x)))) (sinh (log (log (+ 1 (exp x))))))
7.0ms	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)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (cosh (log (log (+ 1 (exp x))))) (log (log (+ 1 (exp x)))) (sinh (log (log (+ 1 (exp x))))))
4.0ms	y	@	inf	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (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)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (cosh (log (log (+ 1 (exp x))))) (log (log (+ 1 (exp x)))) (sinh (log (log (+ 1 (exp x))))))

simplify160.0ms (3%)

Memory

-25.5MiB live, 69.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	376	3029
1	1349	2890
2	5232	2813
0	8179	2579

Stop Event

1×	iter limit
1×	node limit

Counts

90 → 90

Calls

Call 1

Inputs
(log 2)
(+ (log 2) (* x (+ 1/2 (* -1 y))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* -1 (* x y))
(* -1 x)
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) y)
(- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)
1/8
(+ 1/8 (* -1/192 (pow x 2)))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (* 1/2 (- (log 2) (/ 1 (log 2)))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2)))))))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (+ (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))))) (* 1/2 (- (+ (* 1/4 (/ 1 (pow (log 2) 3))) (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))))))))))
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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)))
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(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))
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(+ (log 2) (* 1/2 x))
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(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
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(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 x)
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(+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (* x (- (* (log 2) (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/48 (/ 1 (pow (log 2) 3)))))) (+ (* -1 (/ (+ (* 1/48 (/ 1 (pow (log 2) 3))) (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))))) (log 2))) (+ (* -1/2 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))) (log 2))) (* 1/2 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2)))))))) (* 1/2 (- (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))))))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (+.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/6 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 1/4 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (log.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64))))) (neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 1/6 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))))))) x (-.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))))) #s(literal 1/2 binary64)) x (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) x (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 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)
(* -1/192 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/192 binary64))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (.f64 x x)) (+.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 1/192 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))
(.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (.f64 x x))) (+.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 1/192 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* -1/192 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/192 binary64)))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (.f64 x x)) (+.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 1/192 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1/192 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/192 binary64))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/192 binary64)) x) x)
(+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))))
(fma.f64 (-.f64 (log1p.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x)))))
(* x (- (+ (* 1/2 (/ (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) x)) (* 1/2 (/ (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) x))) y))
(*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))) x) #s(literal 1/2 binary64) (neg.f64 y)) x)
(* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))
(fma.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x))))
(log (log (+ 1 (exp x))))
(log.f64 (log1p.f64 (exp.f64 x)))
(* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))
(*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))) #s(literal 1/2 binary64))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (/.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)) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))
(* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2))))))
(.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/192 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (.f64 x x))))
(* -1 (* x (- (* -1 (/ (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))) x) #s(literal 1/2 binary64) (neg.f64 y)) x)
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 y)
(neg.f64 y)
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y))
(+ (* -1 (* x y)) (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))))
(fma.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))) #s(literal 1/2 binary64) (*.f64 (neg.f64 y) x))
(* 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 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))
(.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))
(.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y)
(* y (- (+ (* 1/2 (/ (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) y)) (* 1/2 (/ (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) y))) x))
(*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))) y) #s(literal 1/2 binary64) (neg.f64 x)) y)
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) 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 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) y (neg.f64 y))
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))) y)) (* -1 x))))
(*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))) y) #s(literal 1/2 binary64) (neg.f64 x)) y)

rewrite238.0ms (4.5%)

Memory

25.9MiB live, 124.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	154
0	58	138
1	223	138
2	1655	138
0	8883	138

Stop Event

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

Counts

20 → 481

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

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

eval94.0ms (1.8%)

Memory: -21.7MiB live, 103.2MiB allocated
Compiler: Compiled 28 009 to 2 775 computations (90.1% saved)

prune17.0ms (0.3%)

Memory

3.5MiB live, 34.9MiB allocated

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	636	8	644
Fresh	4	0	4
Picked	3	2	5
Done	0	0	0
Total	643	10	653

Accuracy

100.0%

Counts

653 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (neg.f64 y) x (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))
✓	100.0%	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
	89.6%	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
▶	52.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
▶	75.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
▶	51.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
✓	50.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
	80.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)))
▶	32.0%	#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)))
	51.7%	#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 339 to 277 computations (18.3% saved)

simplify99.0ms (1.9%)

Memory

-4.1MiB live, 65.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
cost-diff	0	(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64))
cost-diff	0	(fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y))
cost-diff	0	(fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
cost-diff	0	(log.f64 #s(literal 2 binary64))
cost-diff	0	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
cost-diff	0	(-.f64 #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	(log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 (neg.f64 y) x (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))
cost-diff	3	(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	271
0	67	268
1	110	254
2	231	254
3	630	254
4	1987	254
0	9257	252

Stop Event

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

Calls

Call 1

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

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

localize73.0ms (1.4%)

Memory

-2.5MiB live, 59.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.02734375	(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
accuracy	0.07650375976844201	(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
accuracy	18.268261807738043	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
accuracy	28.415545227242347	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy	0.0234375	(fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y))
accuracy	0.02734375	(fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
accuracy	18.268261807738043	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
accuracy	21.28649236946445	#s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64))
accuracy	0.0	(log.f64 #s(literal 2 binary64))
accuracy	0.0078125	(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
accuracy	12.31430521147769	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
accuracy	28.415545227242347	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy	0.0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	0.01953125	(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
accuracy	12.31430521147769	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
accuracy	31.897378244957004	#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
accuracy	0.0	(exp.f64 (neg.f64 x))
accuracy	0.00390625	(fma.f64 (neg.f64 y) x (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
accuracy	0.01171875	(log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))

Samples

54.0ms

256×

valid

Compiler

Compiled 208 to 31 computations (85.1% saved)

Precisions

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

ival-mult: 10.0ms (27.1% of total)

ival-add: 6.0ms (16.3% of total)

ival-log1p: 5.0ms (13.5% of total)

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

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

const: 3.0ms (8.1% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series57.0ms (1.1%)

Memory

13.6MiB live, 43.0MiB allocated

Counts

21 → 74

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	x	@	-inf	((/ 1 (exp (neg x))) (+ (* (neg y) x) (log (+ 1 (/ 1 (exp (neg x)))))) (neg y) (log (+ 1 (/ 1 (exp (neg x))))) (- (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)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (exp (neg x)))
18.0ms	x	@	inf	((/ 1 (exp (neg x))) (+ (* (neg y) x) (log (+ 1 (/ 1 (exp (neg x)))))) (neg y) (log (+ 1 (/ 1 (exp (neg x))))) (- (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)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (exp (neg x)))
7.0ms	y	@	0	((/ 1 (exp (neg x))) (+ (* (neg y) x) (log (+ 1 (/ 1 (exp (neg x)))))) (neg y) (log (+ 1 (/ 1 (exp (neg x))))) (- (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)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (exp (neg x)))
4.0ms	y	@	inf	((/ 1 (exp (neg x))) (+ (* (neg y) x) (log (+ 1 (/ 1 (exp (neg x)))))) (neg y) (log (+ 1 (/ 1 (exp (neg x))))) (- (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)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (exp (neg x)))
4.0ms	y	@	-inf	((/ 1 (exp (neg x))) (+ (* (neg y) x) (log (+ 1 (/ 1 (exp (neg x)))))) (neg y) (log (+ 1 (/ 1 (exp (neg x))))) (- (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)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (exp (neg x)))

simplify131.0ms (2.5%)

Memory

1.4MiB live, 64.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	206	788
1	687	734
2	2299	708
3	7872	708
0	8972	631

Stop Event

1×	iter limit
1×	node limit

Counts

74 → 74

Calls

Call 1

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

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

rewrite211.0ms (4%)

Memory

-3.6MiB live, 98.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	235
0	67	232
1	257	218
2	1956	218
0	8841	216

Stop Event

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

Counts

21 → 346

Calls

Call 1

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

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

eval58.0ms (1.1%)

Memory: 13.7MiB live, 71.0MiB allocated
Compiler: Compiled 20 715 to 1 951 computations (90.6% saved)

prune15.0ms (0.3%)

Memory

-6.9MiB live, 23.8MiB allocated

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	414	11	425
Fresh	2	1	3
Picked	1	4	5
Done	1	1	2
Total	418	17	435

Accuracy

100.0%

Counts

435 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (neg.f64 y) x (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))
▶	97.0%	(fma.f64 (neg.f64 y) x (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64))))))
	96.0%	(fma.f64 (neg.f64 y) x (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))))))
	93.9%	(fma.f64 (neg.f64 y) x (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))))
	89.6%	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (/ 1 (exp (neg x))) #s(literal 1 binary64))))
✓	52.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
▶	54.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
✓	51.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
✓	50.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
	52.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
	17.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y))))
▶	19.5%	#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)) (+.f64 #s(literal 1/2 binary64) y)) x)))
	80.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)))
✓	32.0%	#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)))
▶	3.4%	#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)))
	31.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
▶	51.7%	#s(approx (+ (* (neg y) x) (log (+ 1 (/ 1 (exp (neg x)))))) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 644 to 498 computations (22.7% saved)

simplify90.0ms (1.7%)

Memory

2.8MiB live, 42.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64))
cost-diff	0	(fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
cost-diff	0	(log.f64 #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (* (neg y) x) (log (+ 1 (/ 1 (exp (neg x)))))) (log.f64 #s(literal 2 binary64)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 #s(literal 1/2 binary64) y))
cost-diff	0	(.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x)
cost-diff	0	#s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.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 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x)))
cost-diff	0	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
cost-diff	0	(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64))))
cost-diff	0	(log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))))
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 (neg.f64 y) x (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	354
0	78	353
1	133	350
2	277	350
3	652	350
4	1746	350
0	9291	334

Stop Event

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

Calls

Call 1

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

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

localize102.0ms (1.9%)

Memory

-4.9MiB live, 55.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.02734375	(fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
accuracy	18.268261807738043	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
accuracy	21.28649236946445	#s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64))
accuracy	28.415545227242347	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy	0.0	(log.f64 #s(literal 2 binary64))
accuracy	30.931439204077137	#s(approx (+ (* (neg y) x) (log (+ 1 (/ 1 (exp (neg x)))))) (log.f64 #s(literal 2 binary64)))
accuracy	0.01953125	(.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x)
accuracy	12.17186896997659	(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 #s(literal 1/2 binary64) y))
accuracy	12.31430521147769	#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)) (+.f64 #s(literal 1/2 binary64) y)) x)))
accuracy	31.897378244957004	#s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x))
accuracy	0.01953125	(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)
accuracy	12.31430521147769	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
accuracy	28.415545227242347	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy	31.897378244957004	#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))
accuracy	0.01953125	(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64))
accuracy	0.0390625	(*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)
accuracy	0.109375	(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
accuracy	8.483731589738104	#s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))

Samples

81.0ms

256×

valid

Compiler

Compiled 223 to 44 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-add: 18.0ms (28.2% of total)

ival-mult: 17.0ms (26.6% of total)

const: 6.0ms (9.4% of total)

ival-log1p: 5.0ms (7.8% of total)

ival-sub: 4.0ms (6.3% of total)

ival-div: 3.0ms (4.7% of total)

ival-exp: 3.0ms (4.7% of total)

ival-log: 3.0ms (4.7% of total)

ival-neg: 3.0ms (4.7% of total)

exact: 1.0ms (1.6% of total)

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

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

series55.0ms (1%)

Memory

-10.7MiB live, 54.0MiB allocated

Counts

22 → 89

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	y	@	-inf	((+ (* (neg y) x) (log (+ 1 (/ 1 (exp (neg x)))))) (neg y) (log (+ 1 (/ 1 (exp (neg x))))) (/ 1 (exp (neg x))) (- (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)) (+ (* (- 1/2 y) x) (log 2)) (* (/ (- 1/4 (* y y)) (+ 1/2 y)) x) (/ (- 1/4 (* y y)) (+ 1/2 y)) (+ (* (neg y) x) (log (+ 1 (/ 1 (exp (neg x)))))) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (exp (neg x)) (+ (* -1/6 x) 1/2) (* (+ (* -1/6 x) 1/2) x) (+ (* (- (* (+ (* -1/6 x) 1/2) x) 1) x) 1))
13.0ms	x	@	inf	((+ (* (neg y) x) (log (+ 1 (/ 1 (exp (neg x)))))) (neg y) (log (+ 1 (/ 1 (exp (neg x))))) (/ 1 (exp (neg x))) (- (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)) (+ (* (- 1/2 y) x) (log 2)) (* (/ (- 1/4 (* y y)) (+ 1/2 y)) x) (/ (- 1/4 (* y y)) (+ 1/2 y)) (+ (* (neg y) x) (log (+ 1 (/ 1 (exp (neg x)))))) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (exp (neg x)) (+ (* -1/6 x) 1/2) (* (+ (* -1/6 x) 1/2) x) (+ (* (- (* (+ (* -1/6 x) 1/2) x) 1) x) 1))
11.0ms	x	@	-inf	((+ (* (neg y) x) (log (+ 1 (/ 1 (exp (neg x)))))) (neg y) (log (+ 1 (/ 1 (exp (neg x))))) (/ 1 (exp (neg x))) (- (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)) (+ (* (- 1/2 y) x) (log 2)) (* (/ (- 1/4 (* y y)) (+ 1/2 y)) x) (/ (- 1/4 (* y y)) (+ 1/2 y)) (+ (* (neg y) x) (log (+ 1 (/ 1 (exp (neg x)))))) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (exp (neg x)) (+ (* -1/6 x) 1/2) (* (+ (* -1/6 x) 1/2) x) (+ (* (- (* (+ (* -1/6 x) 1/2) x) 1) x) 1))
5.0ms	y	@	0	((+ (* (neg y) x) (log (+ 1 (/ 1 (exp (neg x)))))) (neg y) (log (+ 1 (/ 1 (exp (neg x))))) (/ 1 (exp (neg x))) (- (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)) (+ (* (- 1/2 y) x) (log 2)) (* (/ (- 1/4 (* y y)) (+ 1/2 y)) x) (/ (- 1/4 (* y y)) (+ 1/2 y)) (+ (* (neg y) x) (log (+ 1 (/ 1 (exp (neg x)))))) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (exp (neg x)) (+ (* -1/6 x) 1/2) (* (+ (* -1/6 x) 1/2) x) (+ (* (- (* (+ (* -1/6 x) 1/2) x) 1) x) 1))
4.0ms	y	@	inf	((+ (* (neg y) x) (log (+ 1 (/ 1 (exp (neg x)))))) (neg y) (log (+ 1 (/ 1 (exp (neg x))))) (/ 1 (exp (neg x))) (- (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)) (+ (* (- 1/2 y) x) (log 2)) (* (/ (- 1/4 (* y y)) (+ 1/2 y)) x) (/ (- 1/4 (* y y)) (+ 1/2 y)) (+ (* (neg y) x) (log (+ 1 (/ 1 (exp (neg x)))))) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (exp (neg x)) (+ (* -1/6 x) 1/2) (* (+ (* -1/6 x) 1/2) x) (+ (* (- (* (+ (* -1/6 x) 1/2) x) 1) x) 1))

simplify117.0ms (2.2%)

Memory

-2.3MiB live, 58.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	247	938
1	805	877
2	2734	854
0	8593	775

Stop Event

1×	iter limit
1×	node limit

Counts

89 → 89

Calls

Call 1

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

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

rewrite154.0ms (2.9%)

Memory

8.3MiB live, 132.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	312
0	78	287
1	319	284
2	2446	284
0	8148	268

Stop Event

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

Counts

22 → 274

Calls

Call 1

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

Outputs
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(fma.f64 x (.f64 #s(literal -1/6 binary64) x) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 #s(literal -1/6 binary64) x)))
(+.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 #s(literal -1/6 binary64) x) x))
(+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) x)) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (*.f64 #s(literal -1/6 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)))
(fma.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(fma.f64 x (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x))) (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x))))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))) (pow.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) x))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)))) (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)))))
(+.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x))))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x))) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
(+.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x))

eval55.0ms (1%)

Memory: 9.9MiB live, 40.0MiB allocated
Compiler: Compiled 15 289 to 1 863 computations (87.8% saved)

prune33.0ms (0.6%)

Memory

-15.9MiB live, 25.5MiB allocated

Pruning

20 alts after pruning (10 fresh and 10 done)

	Pruned	Kept	Total
New	348	5	353
Fresh	2	5	7
Picked	0	5	5
Done	0	5	5
Total	350	20	370

Accuracy

100.0%

Counts

370 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (neg.f64 y) x (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))
✓	97.0%	(fma.f64 (neg.f64 y) x (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64))))))
	96.9%	(fma.f64 (neg.f64 y) x (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/6 x) 1/2) (*.f64 #s(literal -1/6 binary64) x)) x) #s(literal 1 binary64)) x #s(literal 1 binary64))))))
	96.0%	(fma.f64 (neg.f64 y) x (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/6 x) 1/2) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64))))))
	93.9%	(fma.f64 (neg.f64 y) x (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))))
	89.6%	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (/ 1 (exp (neg x))) #s(literal 1 binary64))))
✓	52.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
✓	54.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
✓	51.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
✓	50.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
	52.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
	17.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1/4 binary64)) x) (+.f64 #s(literal 1/2 binary64) y))))
	19.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/4 binary64) (.f64 y y))) (-.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 1/2 binary64) y))) x)))
✓	19.5%	#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)) (+.f64 #s(literal 1/2 binary64) y)) x)))
	80.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)))
✓	32.0%	#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)))
	7.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (fma.f64 y y #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) y))) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (fma.f64 y y #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) y)))) x)))
✓	3.4%	#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)))
	31.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
✓	51.7%	#s(approx (+ (* (neg y) x) (log (+ 1 (/ 1 (exp (neg x)))))) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 1 247 to 575 computations (53.9% saved)

regimes27.0ms (0.5%)

Memory

-1.1MiB live, 28.8MiB allocated

Counts

34 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1/4 binary64)) x) (+.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/4 binary64) (.f64 y y))) (-.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 1/2 binary64) y))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (fma.f64 y y #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) y))) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (fma.f64 y y #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) y)))) x)))
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* (neg y) x) (log (+ 1 (/ 1 (exp (neg x)))))) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (/ 1 (exp (neg x))) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)))
(fma.f64 (neg.f64 y) x (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (neg.f64 y) x (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))))))
(fma.f64 (neg.f64 y) x (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/6 x) 1/2) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64))))))
(fma.f64 (neg.f64 y) x (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/6 x) 1/2) (*.f64 #s(literal -1/6 binary64) x)) x) #s(literal 1 binary64)) x #s(literal 1 binary64))))))
(fma.f64 (neg.f64 y) x (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (neg.f64 x) y))
(-.f64 (+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x y))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 9 binary64))) (.f64 (+.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 y x) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes23.0ms (0.4%)

Memory

25.4MiB live, 25.4MiB allocated

Counts

30 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1/4 binary64)) x) (+.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/4 binary64) (.f64 y y))) (-.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 1/2 binary64) y))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (fma.f64 y y #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) y))) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (fma.f64 y y #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) y)))) x)))
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* (neg y) x) (log (+ 1 (/ 1 (exp (neg x)))))) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (/ 1 (exp (neg x))) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)))
(fma.f64 (neg.f64 y) x (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (neg.f64 y) x (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))))))
(fma.f64 (neg.f64 y) x (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/6 x) 1/2) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64))))))
(fma.f64 (neg.f64 y) x (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/6 x) 1/2) (*.f64 #s(literal -1/6 binary64) x)) x) #s(literal 1 binary64)) x #s(literal 1 binary64))))))
(fma.f64 (neg.f64 y) x (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

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

Calls

3 calls:

8.0ms	y
7.0ms	x
6.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes22.0ms (0.4%)

Memory

-14.2MiB live, 17.0MiB allocated

Counts

28 → 2

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1/4 binary64)) x) (+.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/4 binary64) (.f64 y y))) (-.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 1/2 binary64) y))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (fma.f64 y y #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) y))) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (fma.f64 y y #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) y)))) x)))
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* (neg y) x) (log (+ 1 (/ 1 (exp (neg x)))))) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (/ 1 (exp (neg x))) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)))
(fma.f64 (neg.f64 y) x (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (neg.f64 y) x (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))))))
(fma.f64 (neg.f64 y) x (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/6 x) 1/2) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64))))))
(fma.f64 (neg.f64 y) x (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg x)) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/6 x) 1/2) (*.f64 #s(literal -1/6 binary64) x)) x) #s(literal 1 binary64)) x #s(literal 1 binary64))))))
(fma.f64 (neg.f64 y) x (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))

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:

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

Results

Accuracy	Segments	Branch
99.2%	2	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
99.4%	2	`x`
97.0%	1	`y`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes7.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB 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 (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1/4 binary64)) x) (+.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/4 binary64) (.f64 y y))) (-.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 1/2 binary64) y))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (fma.f64 y y #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) y))) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (fma.f64 y y #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) y)))) x)))
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* (neg y) x) (log (+ 1 (/ 1 (exp (neg x)))))) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (/ 1 (exp (neg x))) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)))
(fma.f64 (neg.f64 y) x (log1p.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))

Outputs

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

6.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

17 → 2

Calls

Call 1

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

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

5.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.2%)

Memory

-23.7MiB live, 7.7MiB allocated

Counts

15 → 2

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1/4 binary64)) x) (+.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/4 binary64) (.f64 y y))) (-.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 1/2 binary64) y))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (fma.f64 y y #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) y))) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (fma.f64 y y #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) y)))) x)))
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* (neg y) x) (log (+ 1 (/ 1 (exp (neg x)))))) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (/ 1 (exp (neg x))) #s(literal 1 binary64))))

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

2 calls:

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

Results

Accuracy	Segments	Branch
98.8%	2	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
99.1%	2	`x`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes11.0ms (0.2%)

Memory

10.3MiB live, 10.3MiB allocated

Counts

12 → 3

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1/4 binary64)) x) (+.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/4 binary64) (.f64 y y))) (-.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 1/2 binary64) y))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (fma.f64 y y #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) y))) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (fma.f64 y y #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) y)))) x)))
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* (neg y) x) (log (+ 1 (/ 1 (exp (neg x)))))) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))

Outputs

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

3 calls:

4.0ms	x
3.0ms	y
3.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
69.1%	3	`y`
98.3%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
84.1%	2	`x`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes4.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated

Counts

11 → 3

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1/4 binary64)) x) (+.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/4 binary64) (.f64 y y))) (-.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 1/2 binary64) y))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (fma.f64 y y #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) y))) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (fma.f64 y y #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) y)))) x)))
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* (neg y) x) (log (+ 1 (/ 1 (exp (neg x)))))) (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:

3.0ms

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

Results

Accuracy	Segments	Branch
98.0%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes9.0ms (0.2%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1/4 binary64)) x) (+.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/4 binary64) (.f64 y y))) (-.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 1/2 binary64) y))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (fma.f64 y y #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) y))) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (fma.f64 y y #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) y)))) x)))

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

Calls

3 calls:

3.0ms	x
3.0ms	y
2.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
50.3%	1	`y`
50.3%	1	`x`
50.3%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes3.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
3.4%	1	`y`
3.4%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
3.4%	1	`x`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

bsearch13.0ms (0.2%)

Memory

-30.3MiB live, 4.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-14.252425591521295	-0.19465549361038254

Samples

6.0ms

112×

valid

Compiler

Compiled 285 to 235 computations (17.5% saved)

Precisions

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

ival-exp: 1.0ms (25.2% of total)

ival-log1p: 1.0ms (25.2% of total)

ival-mult: 1.0ms (25.2% of total)

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

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

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

bsearch5.0ms (0.1%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	-13966.212985652879	-11243.980408308704

Samples

3.0ms

48×

valid

Compiler

Compiled 114 to 98 computations (14% saved)

Precisions

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

ival-exp: 1.0ms (61.2% 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)

bsearch10.0ms (0.2%)

Memory

5.0MiB live, 5.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-14.252425591521295	-0.19465549361038254

Samples

5.0ms

96×

valid

Compiler

Compiled 229 to 200 computations (12.7% saved)

Precisions

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

ival-exp: 1.0ms (30.5% of total)

ival-log1p: 1.0ms (30.5% of total)

ival-mult: 1.0ms (30.5% of total)

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

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

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

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-13966.212985652879	-11243.980408308704

Compiler

Compiled 87 to 80 computations (8% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6931958478347702	129836.36069231892
0.0ms	0.06939653518324528	0.6005483200835028

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6931958478347702	129836.36069231892
0.0ms	0.06939653518324528	0.6005483200835028

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify46.0ms (0.9%)

Memory

-8.1MiB live, 22.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	73	312
1	107	311
2	138	311
3	187	311
4	328	311
5	1664	311
6	5986	311

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (neg.f64 y) x (log1p.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(if (<=.f64 x #s(literal -5854679515581645/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 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 -11500 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 -3152519739159347/2251799813685248 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 -11500 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 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 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 1 binary64)) #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))
(fma.f64 (neg.f64 y) x (log1p.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(if (<=.f64 x #s(literal -5854679515581645/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 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 -5854679515581645/2251799813685248 binary64)) #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (.f64 (neg.f64 x) y)) #s(approx (+ ( (neg y) x) (log (+ 1 (exp x)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -11500 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 -11500 binary64)) #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (.f64 (neg.f64 x) y)) #s(approx (+ ( (neg y) x) (log (+ 1 (exp 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)))))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 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 -3152519739159347/2251799813685248 binary64)) #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (.f64 (neg.f64 x) y)) #s(approx (+ ( (neg y) x) (log (+ 1 (exp x)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -11500 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 x #s(literal -11500 binary64)) #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (.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 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))))
(if (or (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3602879701896397/36028797018963968 binary64)) (not (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)))) #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (.f64 (neg.f64 x) y)) #s(approx (+ ( (neg y) x) (log (+ 1 (exp x)))) (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 1 binary64)) #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 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 1 binary64)))) #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (.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))
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (*.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)))
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))

soundness1.1s (20.3%)

Memory

16.5MiB live, 297.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	206	788
1	687	734
2	2299	708
3	7872	708
0	8972	631
0	8	20
0	13	20
1	49	20
2	335	20
3	3391	20
0	8375	16
0	376	3029
1	1349	2890
2	5232	2813
0	8179	2579
0	34	154
0	58	138
1	223	138
2	1655	138
0	8883	138
0	67	194
1	212	194
2	648	194
3	2113	194
4	4357	184
5	7784	184
0	8104	150

Stop Event

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

Compiler

Compiled 535 to 236 computations (55.9% saved)

preprocess81.0ms (1.5%)

Memory: -5.2MiB live, 121.9MiB allocated
Compiler: Compiled 718 to 202 computations (71.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze67.0ms (1.3%)

sample1.0s (19.3%)

explain89.0ms (1.7%)

preprocess165.0ms (3.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify143.0ms (2.7%)

localize20.0ms (0.4%)

series51.0ms (1%)

simplify118.0ms (2.2%)

rewrite157.0ms (3%)

eval34.0ms (0.6%)

prune9.0ms (0.2%)

simplify123.0ms (2.3%)

localize80.0ms (1.5%)

series93.0ms (1.8%)

simplify160.0ms (3%)

rewrite238.0ms (4.5%)

eval94.0ms (1.8%)

prune17.0ms (0.3%)

simplify99.0ms (1.9%)

localize73.0ms (1.4%)

series57.0ms (1.1%)

simplify131.0ms (2.5%)

rewrite211.0ms (4%)

eval58.0ms (1.1%)

prune15.0ms (0.3%)

simplify90.0ms (1.7%)

localize102.0ms (1.9%)

series55.0ms (1%)

simplify117.0ms (2.2%)

rewrite154.0ms (2.9%)

eval55.0ms (1%)

prune33.0ms (0.6%)

regimes27.0ms (0.5%)

regimes23.0ms (0.4%)

regimes22.0ms (0.4%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes9.0ms (0.2%)

regimes11.0ms (0.2%)

regimes4.0ms (0.1%)

regimes9.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch13.0ms (0.2%)

bsearch5.0ms (0.1%)

bsearch10.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify46.0ms (0.9%)

soundness1.1s (20.3%)

preprocess81.0ms (1.5%)

end0.0ms (0%)

Profiling