Metrics for Rust f64::asinh

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 4 to 4 computations (0% saved)

sample386.0ms (6%)

Memory

23.5MiB live, 533.4MiB allocated

Samples

233.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-asinh: 79.0ms (91.2% of total)

ival-true: 5.0ms (5.8% of total)

ival-assert: 3.0ms (3.5% of total)

Bogosity

explain286.0ms (4.5%)

Memory

-6.5MiB live, 308.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
126	-	-	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
63	-	-	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(fabs.f64 x)`
0	-	-	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
0	-	-	`(*.f64 x x)`
0	-	-	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`
0	-	-	`(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`	sensitivity	126	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	63	0
↳	`(*.f64 x x)`	overflow	63
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	63

Confusion

	Predicted +	Predicted -
+	189	0
-	0	67

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	189	0	0
-	0	0	67

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	67
1	189

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

93.0ms	96×	2	valid
59.0ms	270×	0	valid
31.0ms	146×	1	valid

Compiler

Compiled 115 to 31 computations (73% saved)

Precisions

Click to see histograms. Total time spent on operations: 164.0ms

ival-log: 74.0ms (45.3% of total)

ival-copysign: 40.0ms (24.5% of total)

ival-hypot: 28.0ms (17.1% of total)

adjust: 6.0ms (3.7% of total)

ival-add: 6.0ms (3.7% of total)

ival-mult: 6.0ms (3.7% of total)

ival-fabs: 3.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

preprocess21.0ms (0.3%)

Memory

-15.0MiB live, 21.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`sub-neg`
8×	`lower-+.f32`
8×	`+-commutative`
4×	`lift-+.f64`
4×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	10	7
2	14	7
3	17	7
4	21	7
5	28	7
6	35	7
0	9	12
0	16	12
1	20	12
0	20	11

Stop Event

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

Calls

Call 1

Inputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Outputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.8%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify4.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
cost-diff	0	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
cost-diff	0	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
cost-diff	128	(+.f64 (*.f64 x x) #s(literal 1 binary64))

Rules

8×	`lower-+.f32`
4×	`lift-+.f64`
4×	`lower-+.f64`
4×	`+-commutative`
2×	`lift-sqrt.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	49
0	16	49
1	20	49
0	20	44

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(fabs.f64 x)
x
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)

Outputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
(fabs.f64 x)
x
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)

localize70.0ms (1.1%)

Memory

12.3MiB live, 127.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 x)
accuracy	0.0078125	(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
accuracy	14.616483134628556	(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
accuracy	29.016365542987582	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Samples

32.0ms	48×	2	valid
18.0ms	73×	1	valid
12.0ms	135×	0	valid

Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-log: 17.0ms (32.7% of total)

ival-copysign: 15.0ms (28.8% of total)

ival-hypot: 10.0ms (19.2% of total)

adjust: 4.0ms (7.7% of total)

ival-add: 3.0ms (5.8% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

6 → 72

Calls

Call 1

Inputs
#s(alt (+.f64 (.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())
#s(alt (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 (.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) (taylor 0 x) (#s(alt (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) (taylor 0 x) (#s(alt (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (fabs x)) (taylor 0 x) (#s(alt (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (taylor 0 x) (#s(alt (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) (taylor 0 x) (#s(alt (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) (taylor 0 x) (#s(alt (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow x 2))) (taylor 0 x) (#s(alt (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (taylor 0 x) (#s(alt (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (taylor 0 x) (#s(alt (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (+.f64 (.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (+.f64 (.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (+.f64 (.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (+.f64 (.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor inf x) (#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor inf x) (#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor inf x) (#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor inf x) (#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) (taylor inf x) (#s(alt (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) (taylor inf x) (#s(alt (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) (taylor inf x) (#s(alt (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (fabs x) x))) (taylor inf x) (#s(alt (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) (taylor inf x) (#s(alt (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) (taylor inf x) (#s(alt (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) (taylor inf x) (#s(alt (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor inf x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor inf x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor inf x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor inf x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f64 (.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) (taylor -inf x) (#s(alt (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) (taylor -inf x) (#s(alt (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) (taylor -inf x) (#s(alt (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor -inf x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor -inf x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor -inf x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor -inf x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x))
1.0ms	x	@	-inf	((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x))
1.0ms	x	@	inf	((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x))

Time

Variable

Point

Expression

2.0ms

((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x))

1.0ms

-inf

((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x))

1.0ms

inf

((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x))

simplify240.0ms (3.7%)

Memory

-14.9MiB live, 299.3MiB allocated

Algorithm

1×	egg-herbie

Rules

24 610×	`lower-fma.f64`
24 610×	`lower-fma.f32`
4 994×	`lower-*.f64`
4 994×	`lower-*.f32`
4 040×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	782
1	490	754
2	1513	741
3	5415	691
0	8408	635

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 70

Calls

Call 1

Inputs
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)

Outputs
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 45 binary64))) (.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (/.f64 #s(literal 30 binary64) (.f64 (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))
(+ 1 (fabs x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f64 (/.f64 (fabs.f64 x) x) (log.f64 x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (log.f64 x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(fma.f64 (/.f64 (.f64 (fabs.f64 x) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) (.f64 (.f64 x x) x)) #s(literal 1/6 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (log.f64 x))))
x
(* x (+ 1 (/ (fabs x) x)))
(+.f64 (fabs.f64 x) x)
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (fabs.f64 x) x))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 (*.f64 x x) x) x)) x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (fabs.f64 x) x)))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 (*.f64 x x) x) x)) x (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+.f64 (-.f64 x (/.f64 #s(literal -1/2 binary64) x)) (.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) x) x))) x))
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(* -1 (log (/ -1 x)))
(neg.f64 (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) (fabs.f64 x)) x) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) x) (.f64 (fabs.f64 x) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x) (fabs.f64 x)) x) (neg.f64 (log.f64 (neg.f64 x))))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f64 (fabs.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(-.f64 (-.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(-.f64 (-.f64 (fabs.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (*.f64 x x) x) x)) x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(+.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) x) x))) (neg.f64 x)))
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)

rewrite461.0ms (7.2%)

Memory

-27.7MiB live, 193.0MiB allocated

Rules

5 872×	`lower-fma.f64`
5 872×	`lower-fma.f32`
3 070×	`lower-*.f32`
3 068×	`lower-*.f64`
2 316×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	44
0	16	44
1	51	44
2	324	44
3	3419	44
0	8352	39

Stop Event

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

Counts

6 → 279

Calls

Call 1

Inputs
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(fabs.f64 x)

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

eval86.0ms (1.4%)

Memory: 11.7MiB live, 93.1MiB allocated
Compiler: Compiled 10 321 to 1 595 computations (84.5% saved)

prune64.0ms (1%)

Memory

12.4MiB live, 86.9MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	339	10	349
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	340	10	350

Accuracy

100.0%

Counts

350 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) x)
	26.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
	19.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
▶	3.9%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)))) x)
▶	28.8%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
	27.2%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
	51.2%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) x)
	51.9%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x)
▶	64.4%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
▶	9.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)

Compiler

Compiled 278 to 158 computations (43.2% saved)

simplify174.0ms (2.7%)

Memory

-14.3MiB live, 66.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)))
cost-diff	0	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))))
cost-diff	0	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)))) x)
cost-diff	0	(fabs.f64 x)
cost-diff	0	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
cost-diff	0	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
cost-diff	0	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) x)
cost-diff	0	(-.f64 (fabs.f64 x) x)
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))
cost-diff	0	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)))
cost-diff	0	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
cost-diff	0	(log.f64 x)
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))
cost-diff	0	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
cost-diff	0	(fabs.f64 x)
cost-diff	0	(log1p.f64 (fabs.f64 x))
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x)))
cost-diff	0	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)

Rules

4 224×	`lower-fma.f32`
4 216×	`lower-fma.f64`
1 832×	`unsub-neg`
1 392×	`lower-*.f32`
1 390×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	314
0	56	314
1	76	314
2	102	314
3	185	314
4	393	314
5	707	314
6	936	314
7	1181	314
8	2488	314
9	3934	314
10	4088	314
11	4114	314
12	4124	314
13	4124	314
14	4148	314
15	4156	314
16	4156	314
17	4160	314
0	4160	300

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(fabs.f64 x)
x
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))
(log.f64 x)
x
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) x)
(fabs.f64 x)
x
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (fabs.f64 x))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (fabs.f64 x)))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) (fabs.f64 x))
(fabs.f64 x)
x
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64))
#s(literal -1/8 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)
(fabs.f64 x)
#s(literal 1 binary64)

localize125.0ms (2%)

Memory

-9.8MiB live, 110.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.015625	(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64))
accuracy	0.02734375	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))
accuracy	0.4366173433557534	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))))
accuracy	15.680633733379972	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)))
accuracy	0	(fabs.f64 x)
accuracy	0.00390625	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
accuracy	0.4366173433557534	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
accuracy	14.659744656784378	#s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy	0	(-.f64 (fabs.f64 x) x)
accuracy	0	(fabs.f64 x)
accuracy	0.4366173433557534	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)))
accuracy	16.35648200563938	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))
accuracy	0	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
accuracy	0	(log.f64 x)
accuracy	11.81488506819979	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))
accuracy	0	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
accuracy	0	(log1p.f64 (fabs.f64 x))
accuracy	0	(fabs.f64 x)
accuracy	11.177085942209118	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x)))

Samples

47.0ms	67×	0	valid
37.0ms	134×	0	invalid
12.0ms	55×	1	exit

Compiler

Compiled 223 to 23 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-copysign: 16.0ms (34.4% of total)

ival-mult: 7.0ms (15% of total)

ival-add: 6.0ms (12.9% of total)

ival-log: 6.0ms (12.9% of total)

ival-hypot: 4.0ms (8.6% of total)

adjust: 2.0ms (4.3% of total)

ival-fabs: 2.0ms (4.3% of total)

ival-log1p: 2.0ms (4.3% of total)

ival-sub: 1.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series183.0ms (2.9%)

Memory

38.0MiB live, 274.8MiB allocated

Counts

20 → 240

Calls

Call 1

Inputs
#s(alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (patch (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) #<representation binary64>) () ())
#s(alt (log1p.f64 (fabs.f64 x)) (patch (log1p.f64 (fabs.f64 x)) #<representation binary64>) () ())
#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())
#s(alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) (patch (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) #<representation binary64>) () ())
#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())
#s(alt (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) (patch (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) (patch (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)) (patch #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)) #<representation binary64>) () ())
#s(alt (-.f64 (fabs.f64 x) x) (patch (-.f64 (fabs.f64 x) x) #<representation binary64>) () ())
#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) x) #<representation binary64>) () ())
#s(alt (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)))) x) (patch (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)))) x) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)))) (patch (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))) (patch #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (sqrt (+ ( x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (patch (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (patch (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (patch (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (patch (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (log1p.f64 (fabs.f64 x)) (patch (log1p.f64 (fabs.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (log1p.f64 (fabs.f64 x)) (patch (log1p.f64 (fabs.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (log1p.f64 (fabs.f64 x)) (patch (log1p.f64 (fabs.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (log1p.f64 (fabs.f64 x)) (patch (log1p.f64 (fabs.f64 x)) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) (patch (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) (patch (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) (patch (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) (patch (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) (patch (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) (patch (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) (patch (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) (patch (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) (patch (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) (patch (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) (taylor 0 x) (#s(alt (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) (patch (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) (taylor 0 x) (#s(alt (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) (patch (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (fabs x)) (taylor 0 x) (#s(alt #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)) (patch #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)) (patch #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)) (patch #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) (taylor 0 x) (#s(alt #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)) (patch #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (sqrt (+ ( x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* (pow x 2) (fabs x))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1/8 (fabs x)) (+ (* 1/2 (/ (fabs x) (pow x 2))) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1/8 (fabs x)) (+ (* 1/2 (/ (fabs x) (pow x 2))) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1/8 (fabs x)) (+ (* 1/2 (/ (fabs x) (pow x 2))) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

81.0ms

((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (- (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fabs x)) 1) (sqrt (+ (* x x) 1)) (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1))

68.0ms

-inf

((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (- (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fabs x)) 1) (sqrt (+ (* x x) 1)) (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1))

24.0ms

inf

((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (- (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fabs x)) 1) (sqrt (+ (* x x) 1)) (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1))

simplify176.0ms (2.8%)

Memory

-15.3MiB live, 290.6MiB allocated

Algorithm

1×	egg-herbie

Rules

15 912×	`lower-fma.f64`
15 912×	`lower-fma.f32`
5 624×	`lower-*.f64`
5 624×	`lower-*.f32`
2 850×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	196	3323
1	565	3157
2	1732	3029
3	5972	2893
0	8411	2642

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 236

Calls

Call 1

Inputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(log x)
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(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
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(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
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(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
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(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
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(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
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(log (+ 1 (fabs x)))
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(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
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(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))
(+ 1 (+ (* -1/8 (* (pow x 2) (pow (fabs x) 2))) (* (fabs x) (+ 1 (* 1/2 (fabs x))))))
(+ 1 (+ (* -1/8 (* (pow x 2) (pow (fabs x) 2))) (* (fabs x) (+ 1 (* 1/2 (fabs x))))))
(+ 1 (+ (* -1/8 (* (pow x 2) (pow (fabs x) 2))) (* (fabs x) (+ 1 (* 1/2 (fabs x))))))
1
(+ 1 (* 1/2 (pow x 2)))
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(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
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(+ 1 (+ (* -1/8 (* (pow x 2) (fabs x))) (* 1/2 (fabs x))))
(+ 1 (+ (* -1/8 (* (pow x 2) (fabs x))) (* 1/2 (fabs x))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ 1 x)))
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(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
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(fabs x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
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x
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(* x (- (/ (fabs x) x) 1))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
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x
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(* -1 (log (/ 1 x)))
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(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
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(* -1/8 (* (pow x 2) (pow (fabs x) 2)))
(* (pow x 2) (+ (* -1/8 (pow (fabs x) 2)) (+ (/ 1 (pow x 2)) (/ (* (fabs x) (+ 1 (* 1/2 (fabs x)))) (pow x 2)))))
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(* (pow x 2) (+ (* -1/8 (pow (fabs x) 2)) (+ (/ 1 (pow x 2)) (/ (* (fabs x) (+ 1 (* 1/2 (fabs x)))) (pow x 2)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
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(* -1/8 (* (pow x 2) (fabs x)))
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(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(* -1/8 (* (pow x 2) (pow (fabs x) 2)))
(* (pow x 2) (+ (* -1/8 (pow (fabs x) 2)) (+ (/ 1 (pow x 2)) (/ (* (fabs x) (+ 1 (* 1/2 (fabs x)))) (pow x 2)))))
(* (pow x 2) (+ (* -1/8 (pow (fabs x) 2)) (+ (/ 1 (pow x 2)) (/ (* (fabs x) (+ 1 (* 1/2 (fabs x)))) (pow x 2)))))
(* (pow x 2) (+ (* -1/8 (pow (fabs x) 2)) (+ (/ 1 (pow x 2)) (/ (* (fabs x) (+ 1 (* 1/2 (fabs x)))) (pow x 2)))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* -1/8 (* (pow x 2) (fabs x)))
(* (pow x 2) (+ (* -1/8 (fabs x)) (+ (* 1/2 (/ (fabs x) (pow x 2))) (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* -1/8 (fabs x)) (+ (* 1/2 (/ (fabs x) (pow x 2))) (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* -1/8 (fabs x)) (+ (* 1/2 (/ (fabs x) (pow x 2))) (/ 1 (pow x 2)))))

Outputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 45 binary64))) (.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (/.f64 #s(literal 30 binary64) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 45 binary64))) (.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (/.f64 #s(literal 30 binary64) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 45 binary64))) (.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (/.f64 #s(literal 30 binary64) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(fabs x)
(fabs.f64 x)
(+ (fabs x) (* -1 x))
(-.f64 (fabs.f64 x) x)
(+ (fabs x) (* -1 x))
(-.f64 (fabs.f64 x) x)
(+ (fabs x) (* -1 x))
(-.f64 (fabs.f64 x) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 45 binary64))) (.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (/.f64 #s(literal 30 binary64) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 45 binary64))) (.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (/.f64 #s(literal 30 binary64) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
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(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) (fabs.f64 x)) x) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) x) (.f64 (fabs.f64 x) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x) (fabs.f64 x)) x) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(* -1 (log (/ -1 x)))
(neg.f64 (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) (fabs.f64 x)) x) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) x) (.f64 (fabs.f64 x) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x) (fabs.f64 x)) x) (neg.f64 (log.f64 (neg.f64 x))))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f64 (fabs.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(-.f64 (-.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(-.f64 (-.f64 (fabs.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f64 (fabs.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f64 (fabs.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f64 (fabs.f64 x) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(* -1 (log (/ -1 x)))
(neg.f64 (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) (fabs.f64 x)) x) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) x) (.f64 (fabs.f64 x) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x) (fabs.f64 x)) x) (neg.f64 (log.f64 (neg.f64 x))))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f64 (fabs.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(-.f64 (-.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(-.f64 (-.f64 (fabs.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(* -1 (log (/ -1 x)))
(neg.f64 (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) (fabs.f64 x)) x) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) x) (.f64 (fabs.f64 x) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x) (fabs.f64 x)) x) (neg.f64 (log.f64 (neg.f64 x))))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f64 (fabs.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(-.f64 (-.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(-.f64 (-.f64 (fabs.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)
(* -1/8 (* (pow x 2) (pow (fabs x) 2)))
(.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 (.f64 x x) x))
(* (pow x 2) (+ (* -1/8 (pow (fabs x) 2)) (+ (/ 1 (pow x 2)) (/ (* (fabs x) (+ 1 (* 1/2 (fabs x)))) (pow x 2)))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) x (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (+ (* -1/8 (pow (fabs x) 2)) (+ (/ 1 (pow x 2)) (/ (* (fabs x) (+ 1 (* 1/2 (fabs x)))) (pow x 2)))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) x (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (+ (* -1/8 (pow (fabs x) 2)) (+ (/ 1 (pow x 2)) (/ (* (fabs x) (+ 1 (* 1/2 (fabs x)))) (pow x 2)))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) x (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (*.f64 x x) x) x)) x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(neg.f64 (+.f64 (-.f64 x (/.f64 #s(literal -1/2 binary64) x)) (.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) x) x))) x)))
(* -1/8 (* (pow x 2) (fabs x)))
(.f64 (.f64 #s(literal -1/8 binary64) x) (*.f64 (fabs.f64 x) x))
(* (pow x 2) (+ (* -1/8 (fabs x)) (+ (* 1/2 (/ (fabs x) (pow x 2))) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (fabs.f64 x))) (.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (+ (* -1/8 (fabs x)) (+ (* 1/2 (/ (fabs x) (pow x 2))) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (fabs.f64 x))) (.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (+ (* -1/8 (fabs x)) (+ (* 1/2 (/ (fabs x) (pow x 2))) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (fabs.f64 x))) (.f64 x x) #s(literal 1 binary64))

rewrite303.0ms (4.7%)

Memory

-17.6MiB live, 279.2MiB allocated

Rules

5 706×	`lower-fma.f32`
5 698×	`lower-fma.f64`
4 178×	`lower-/.f64`
4 178×	`lower-/.f32`
4 020×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	280
0	56	280
1	176	280
2	1232	268
0	8384	254

Stop Event

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

Counts

20 → 181

Calls

Call 1

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

Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(/.f64 (-.f64 (.f64 (log1p.f64 (neg.f64 (.f64 x x))) (log1p.f64 (neg.f64 (.f64 x x)))) (.f64 (log1p.f64 (neg.f64 (fabs.f64 x))) (log1p.f64 (neg.f64 (fabs.f64 x))))) (+.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 (neg.f64 (fabs.f64 x)))))
(/.f64 (-.f64 (.f64 (log1p.f64 (.f64 (.f64 x x) x)) (log1p.f64 (.f64 (.f64 x x) x))) (.f64 (log1p.f64 (-.f64 (.f64 x x) (fabs.f64 x))) (log1p.f64 (-.f64 (.f64 x x) (fabs.f64 x))))) (+.f64 (log1p.f64 (.f64 (.f64 x x) x)) (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 (fabs.f64 x))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (neg.f64 (.f64 x x))) (log1p.f64 (neg.f64 (.f64 x x))) (fma.f64 (log1p.f64 (neg.f64 (fabs.f64 x))) (log1p.f64 (neg.f64 (fabs.f64 x))) (.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 (neg.f64 (fabs.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 (.f64 x x) x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (.f64 x x) (fabs.f64 x))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (.f64 (.f64 x x) x)) (log1p.f64 (.f64 (.f64 x x) x)) (fma.f64 (log1p.f64 (-.f64 (.f64 x x) (fabs.f64 x))) (log1p.f64 (-.f64 (.f64 x x) (fabs.f64 x))) (.f64 (log1p.f64 (.f64 (.f64 x x) x)) (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x)))))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(-.f64 (log.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)))))
(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64))))
(-.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 (neg.f64 (fabs.f64 x))))
(-.f64 (log1p.f64 (.f64 (.f64 x x) x)) (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(-.f64 (log1p.f64 (.f64 (.f64 x x) x)) (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (neg.f64 (log1p.f64 (neg.f64 (fabs.f64 x)))))
(+.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(+.f64 (log1p.f64 (.f64 (.f64 x x) x)) (neg.f64 (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x)))))
(+.f64 (log1p.f64 (.f64 (.f64 x x) x)) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)))))
(log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 x))
(fabs.f64 (-.f64 x #s(literal 0 binary64)))
(fabs.f64 (neg.f64 x))
(fabs.f64 x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))
(log.f64 x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))
#s(literal 0 binary64)
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(/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64))) (.f64 (.f64 x x) x) #s(literal 1 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64))) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64))) (.f64 x x)) (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x)))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64))) (.f64 (.f64 x x) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/16 binary64))))) #s(literal 1 binary64))
(fma.f64 (.f64 (fabs.f64 x) (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (fabs.f64 x) (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/16 binary64))))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal -1 binary64)))))
(fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x)))) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64))) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x)))))
(-.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64))) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal -1 binary64))))
(+.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64))) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal -1 binary64)))))
(+.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x)))

eval72.0ms (1.1%)

Memory: 26.9MiB live, 101.1MiB allocated
Compiler: Compiled 13 546 to 1 095 computations (91.9% saved)

prune92.0ms (1.4%)

Memory

1.9MiB live, 82.2MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	483	2	485
Fresh	0	5	5
Picked	2	3	5
Done	0	0	0
Total	485	10	495

Accuracy

100.0%

Counts

495 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
▶	19.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
▶	9.6%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64)))) x)
✓	28.8%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
▶	27.2%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
▶	2.7%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
	51.2%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) x)
▶	51.9%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x)
✓	64.4%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
✓	9.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)

Compiler

Compiled 232 to 130 computations (44% saved)

simplify30.0ms (0.5%)

Memory

-24.2MiB live, 13.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64)))
cost-diff	0	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64))))
cost-diff	0	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64)))) x)
cost-diff	0	(fabs.f64 x)
cost-diff	0	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))
cost-diff	0	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
cost-diff	0	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
cost-diff	0	(+.f64 (fabs.f64 x) x)
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))
cost-diff	0	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x)))
cost-diff	0	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))
cost-diff	0	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64)))
cost-diff	0	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))))
cost-diff	0	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x)

Rules

114×	`lower-*.f32`
112×	`lower-*.f64`
106×	`lower-fma.f32`
100×	`lower-fma.f64`
56×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	375
0	64	375
1	87	375
2	106	375
3	138	375
4	158	375
5	161	375
0	161	350

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(fabs.f64 x)
#s(literal 1 binary64)
(log1p.f64 (fabs.f64 x))
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))
#s(literal 0 binary64)
x
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))
(+.f64 (fabs.f64 x) x)
(fabs.f64 x)
x
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))
(fabs.f64 x)
x
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64)))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64))
#s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(fabs.f64 x)
x
#s(literal 1 binary64)

Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x) (log1p.f64 (fabs.f64 x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(fabs.f64 x)
#s(literal 1 binary64)
(log1p.f64 (fabs.f64 x))
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))
#s(literal 0 binary64)
x
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))
(+.f64 (fabs.f64 x) x)
(fabs.f64 x)
x
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (fabs.f64 x))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (fabs.f64 x)))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (fabs.f64 x))
(fabs.f64 x)
x
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64)))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64)))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64))))
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64))
#s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(fabs.f64 x)
x
#s(literal 1 binary64)

localize114.0ms (1.8%)

Memory

12.0MiB live, 130.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64))
accuracy	13.419873306525634	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64))))
accuracy	32.36867624861458	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64)))
accuracy	32.38807028479714	#s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64)))
accuracy	0	(fabs.f64 x)
accuracy	0.0078125	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))
accuracy	13.419873306525634	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
accuracy	30.87774501529144	#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
accuracy	0	(+.f64 (fabs.f64 x) x)
accuracy	0	(fabs.f64 x)
accuracy	13.419873306525634	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x)))
accuracy	30.580988225111934	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))
accuracy	0	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
accuracy	13.419873306525634	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64)))
accuracy	46.29850397395601	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))
accuracy	0	(fabs.f64 x)
accuracy	0.01171875	(/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
accuracy	0.01953125	(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))
accuracy	30.794939317041937	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))))

Samples

35.0ms	20×	2	valid
29.0ms	135×	0	valid
17.0ms	66×	1	exit
13.0ms	35×	1	valid

Compiler

Compiled 246 to 28 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 30.0ms (39.8% of total)

ival-add: 12.0ms (15.9% of total)

ival-log: 9.0ms (11.9% of total)

adjust: 8.0ms (10.6% of total)

ival-hypot: 7.0ms (9.3% of total)

ival-log1p: 3.0ms (4% of total)

ival-div: 2.0ms (2.7% of total)

ival-copysign: 2.0ms (2.7% of total)

ival-fabs: 2.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory

19.5MiB live, 19.5MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#s(alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) (patch (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) (patch #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) (patch (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x) (patch (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) (patch (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64)) (patch #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) (patch (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) (patch (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x)) (patch #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x)) #<representation binary64>) () ())
#s(alt (+.f64 (fabs.f64 x) x) (patch (+.f64 (fabs.f64 x) x) #<representation binary64>) () ())
#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x) #<representation binary64>) () ())
#s(alt (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) (patch (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))) (patch (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())
#s(alt (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64)))) x) (patch (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64)))) x) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64)))) (patch (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64))) (patch #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (patch (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (patch #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (patch #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())

Outputs
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) (patch (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) (patch (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) (patch (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) (patch (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) (patch #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) (patch #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) (patch #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) (patch #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) (patch (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) (patch (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) (patch (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) (patch (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x) (patch (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x) #<representation binary64>) () ())) ())
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#s(alt (/ x (+ 1 (fabs x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (patch (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (patch #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ (* -1/8 (fabs x)) (+ (* 1/2 (/ (fabs x) (pow x 2))) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (patch #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

-inf

((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* 1/2 x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fabs x)) 1) (/ x (+ (fabs x) 1)) (sqrt (+ (* x x) 1)) (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1))

4.0ms

((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* 1/2 x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fabs x)) 1) (/ x (+ (fabs x) 1)) (sqrt (+ (* x x) 1)) (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1))

4.0ms

inf

((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* 1/2 x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fabs x)) 1) (/ x (+ (fabs x) 1)) (sqrt (+ (* x x) 1)) (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1))

simplify186.0ms (2.9%)

Memory

24.4MiB live, 243.2MiB allocated

Algorithm

1×	egg-herbie

Rules

13 344×	`lower-fma.f64`
13 344×	`lower-fma.f32`
5 556×	`lower-*.f64`
5 556×	`lower-*.f32`
2 184×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	199	3632
1	578	3465
2	1765	3331
3	6044	3221
0	8226	2958

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 257

Calls

Call 1

Inputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
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(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
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(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
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(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
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(fabs x)
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(fabs x)
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(/ x (+ 1 (fabs x)))
(/ x (+ 1 (fabs x)))
(/ x (+ 1 (fabs x)))
(/ x (+ 1 (fabs x)))
1
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(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
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(* 1/2 x)
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(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ 1 x)))
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x
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(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
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x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (/ (fabs x) x)))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1/8 (* (pow x 2) (pow (fabs x) 2)))
(* (pow x 2) (+ (* -1/8 (pow (fabs x) 2)) (+ (/ 1 (pow x 2)) (/ (* (fabs x) (+ 1 (* 1/2 (fabs x)))) (pow x 2)))))
(* (pow x 2) (+ (* -1/8 (pow (fabs x) 2)) (+ (/ 1 (pow x 2)) (/ (* (fabs x) (+ 1 (* 1/2 (fabs x)))) (pow x 2)))))
(* (pow x 2) (+ (* -1/8 (pow (fabs x) 2)) (+ (/ 1 (pow x 2)) (/ (* (fabs x) (+ 1 (* 1/2 (fabs x)))) (pow x 2)))))
(/ x (+ 1 (fabs x)))
(/ x (+ 1 (fabs x)))
(/ x (+ 1 (fabs x)))
(/ x (+ 1 (fabs x)))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1/8 (* (pow x 2) (fabs x)))
(* (pow x 2) (+ (* -1/8 (fabs x)) (+ (* 1/2 (/ (fabs x) (pow x 2))) (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* -1/8 (fabs x)) (+ (* 1/2 (/ (fabs x) (pow x 2))) (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* -1/8 (fabs x)) (+ (* 1/2 (/ (fabs x) (pow x 2))) (/ 1 (pow x 2)))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ -1 x)))
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(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ -1 x)))
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(* -1 x)
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(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
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(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
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(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ -1 x)))
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(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ -1 x)))
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(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(* -1/8 (* (pow x 2) (pow (fabs x) 2)))
(* (pow x 2) (+ (* -1/8 (pow (fabs x) 2)) (+ (/ 1 (pow x 2)) (/ (* (fabs x) (+ 1 (* 1/2 (fabs x)))) (pow x 2)))))
(* (pow x 2) (+ (* -1/8 (pow (fabs x) 2)) (+ (/ 1 (pow x 2)) (/ (* (fabs x) (+ 1 (* 1/2 (fabs x)))) (pow x 2)))))
(* (pow x 2) (+ (* -1/8 (pow (fabs x) 2)) (+ (/ 1 (pow x 2)) (/ (* (fabs x) (+ 1 (* 1/2 (fabs x)))) (pow x 2)))))
(/ x (+ 1 (fabs x)))
(/ x (+ 1 (fabs x)))
(/ x (+ 1 (fabs x)))
(/ x (+ 1 (fabs x)))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* -1/8 (* (pow x 2) (fabs x)))
(* (pow x 2) (+ (* -1/8 (fabs x)) (+ (* 1/2 (/ (fabs x) (pow x 2))) (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* -1/8 (fabs x)) (+ (* 1/2 (/ (fabs x) (pow x 2))) (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* -1/8 (fabs x)) (+ (* 1/2 (/ (fabs x) (pow x 2))) (/ 1 (pow x 2)))))

Outputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
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(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(* -1 (log (/ -1 x)))
(neg.f64 (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) (fabs.f64 x)) x) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) x) (.f64 (fabs.f64 x) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x) (fabs.f64 x)) x) (neg.f64 (log.f64 (neg.f64 x))))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f64 (fabs.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(-.f64 (-.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(-.f64 (-.f64 (fabs.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(* -1 (log (/ -1 x)))
(neg.f64 (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) (fabs.f64 x)) x) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) x) (.f64 (fabs.f64 x) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x) (fabs.f64 x)) x) (neg.f64 (log.f64 (neg.f64 x))))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f64 (fabs.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(-.f64 (-.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(-.f64 (-.f64 (fabs.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(+.f64 (fabs.f64 x) x)
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(+.f64 (fabs.f64 x) x)
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(+.f64 (fabs.f64 x) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(* -1 (log (/ -1 x)))
(neg.f64 (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) (fabs.f64 x)) x) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) x) (.f64 (fabs.f64 x) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x) (fabs.f64 x)) x) (neg.f64 (log.f64 (neg.f64 x))))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f64 (fabs.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(-.f64 (-.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(-.f64 (-.f64 (fabs.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(* -1 (log (/ -1 x)))
(neg.f64 (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) (fabs.f64 x)) x) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) x) (.f64 (fabs.f64 x) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x) (fabs.f64 x)) x) (neg.f64 (log.f64 (neg.f64 x))))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f64 (fabs.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(-.f64 (-.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(-.f64 (-.f64 (fabs.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)
(* -1/8 (* (pow x 2) (pow (fabs x) 2)))
(.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 (.f64 x x) x))
(* (pow x 2) (+ (* -1/8 (pow (fabs x) 2)) (+ (/ 1 (pow x 2)) (/ (* (fabs x) (+ 1 (* 1/2 (fabs x)))) (pow x 2)))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) x (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (+ (* -1/8 (pow (fabs x) 2)) (+ (/ 1 (pow x 2)) (/ (* (fabs x) (+ 1 (* 1/2 (fabs x)))) (pow x 2)))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) x (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (+ (* -1/8 (pow (fabs x) 2)) (+ (/ 1 (pow x 2)) (/ (* (fabs x) (+ 1 (* 1/2 (fabs x)))) (pow x 2)))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) x (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) #s(literal 1 binary64))
(/ x (+ 1 (fabs x)))
(/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ x (+ 1 (fabs x)))
(/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ x (+ 1 (fabs x)))
(/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ x (+ 1 (fabs x)))
(/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (*.f64 x x) x) x)) x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(neg.f64 (+.f64 (-.f64 x (/.f64 #s(literal -1/2 binary64) x)) (.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) x) x))) x)))
(* -1/8 (* (pow x 2) (fabs x)))
(.f64 (.f64 #s(literal -1/8 binary64) x) (*.f64 (fabs.f64 x) x))
(* (pow x 2) (+ (* -1/8 (fabs x)) (+ (* 1/2 (/ (fabs x) (pow x 2))) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (fabs.f64 x))) (.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (+ (* -1/8 (fabs x)) (+ (* 1/2 (/ (fabs x) (pow x 2))) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (fabs.f64 x))) (.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (+ (* -1/8 (fabs x)) (+ (* 1/2 (/ (fabs x) (pow x 2))) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (fabs.f64 x))) (.f64 x x) #s(literal 1 binary64))

rewrite240.0ms (3.7%)

Memory

-4.5MiB live, 355.3MiB allocated

Rules

5 928×	`lower-fma.f32`
5 922×	`lower-fma.f64`
5 266×	`lower-*.f32`
5 264×	`lower-*.f64`
4 712×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	346
0	64	346
1	214	346
2	1562	346
0	8693	321

Stop Event

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

Counts

22 → 216

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))
(*.f64 #s(literal 1/2 binary64) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))
(+.f64 (fabs.f64 x) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))
(fabs.f64 x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64)))) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64))
(/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
#s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64)))

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

eval86.0ms (1.3%)

Memory: 8.9MiB live, 184.4MiB allocated
Compiler: Compiled 13 182 to 1 222 computations (90.7% saved)

prune136.0ms (2.1%)

Memory

-29.6MiB live, 153.6MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	567	1	568
Fresh	0	2	2
Picked	1	4	5
Done	0	3	3
Total	568	10	578

Accuracy

100.0%

Counts

578 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
✓	19.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
✓	9.6%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64)))) x)
✓	28.8%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
✓	27.2%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
▶	51.2%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) x)
✓	51.9%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x)
✓	64.4%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
✓	9.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
▶	6.1%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)

Compiler

Compiled 136 to 76 computations (44.1% saved)

simplify142.0ms (2.2%)

Memory

32.5MiB live, 187.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(fabs.f64 x)
cost-diff	0	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
cost-diff	0	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
cost-diff	0	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x))))
cost-diff	0	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) x)
cost-diff	320	(fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
cost-diff	1024	(fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)
cost-diff	0	#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)))
cost-diff	0	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)

Rules

8 292×	`lower-fma.f32`
8 288×	`lower-fma.f64`
3 342×	`lower-*.f32`
3 332×	`lower-*.f64`
3 002×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	418
0	73	418
1	116	418
2	224	418
3	519	402
4	1264	402
5	2407	402
6	3976	402
7	4823	402
8	7209	402
0	8268	384

Stop Event

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

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
#s(literal 1 binary64)
(fabs.f64 x)
x
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x))))
(fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))
(fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)))
(*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
x
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(fabs.f64 x)
#s(literal 1 binary64)
(+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))
(/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
#s(literal 3 binary64)
#s(literal -1/24 binary64)
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(*.f64 x x)
(log1p.f64 (fabs.f64 x))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(fabs.f64 x)
x
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)

Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)
(.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
(fabs.f64 x)
x
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 (+.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (log1p.f64 (fabs.f64 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 (+.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (log1p.f64 (fabs.f64 x))))
(fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))
(fma.f64 (fma.f64 (.f64 (+.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (log1p.f64 (fabs.f64 x)))
(fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(fma.f64 (*.f64 (+.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)))
(.f64 (.f64 (+.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
x
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
(fabs.f64 x)
#s(literal 1 binary64)
(+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))
(/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
#s(literal 3 binary64)
#s(literal -1/24 binary64)
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(*.f64 x x)
(log1p.f64 (fabs.f64 x))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x)))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x))
(fabs.f64 x)
x
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)

localize191.0ms (3%)

Memory

-12.5MiB live, 344.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 x)
accuracy	0.0078125	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
accuracy	29.016365542987582	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
accuracy	47.13228716428959	#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
accuracy	0.04296875	(fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))
accuracy	0.15462875976844204	(.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)))
accuracy	0.2421875	(fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
accuracy	32.2451813813219	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x))))
accuracy	0.015625	(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
accuracy	0.0703125	(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
accuracy	29.769201259641886	#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))
accuracy	30.794939317041937	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)))

Samples

49.0ms	89×	1	valid
47.0ms	54×	2	valid
46.0ms	90×	0	valid
18.0ms	23×	3	valid

Compiler

Compiled 276 to 35 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

ival-mult: 38.0ms (28.6% of total)

ival-log: 18.0ms (13.6% of total)

ival-hypot: 16.0ms (12.1% of total)

ival-add: 16.0ms (12.1% of total)

ival-div: 15.0ms (11.3% of total)

adjust: 15.0ms (11.3% of total)

const: 4.0ms (3% of total)

ival-copysign: 3.0ms (2.3% of total)

ival-log1p: 3.0ms (2.3% of total)

ival-sub: 2.0ms (1.5% of total)

ival-fabs: 2.0ms (1.5% of total)

exact: 1.0ms (0.8% of total)

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

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

series54.0ms (0.8%)

Memory

-41.7MiB live, 71.4MiB allocated

Counts

16 → 192

Calls

Call 1

Inputs
#s(alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) (patch (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)) (patch #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)) #<representation binary64>) () ())
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#s(alt (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (patch (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (.f64 x x) (log1p.f64 (fabs.f64 x)))) x) (patch (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) x) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (.f64 x x) (log1p.f64 (fabs.f64 x)))) (patch #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) #<representation binary64>) () ())
#s(alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) #<representation binary64>) () ())
#s(alt (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) (patch (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) #<representation binary64>) () ())
#s(alt (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))) (patch (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))) #<representation binary64>) () ())
#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) #<representation binary64>) () ())
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#s(alt #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (patch #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #<representation binary64>) () ())

Outputs
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#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)) (patch #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)) (patch #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) (taylor 0 x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) (patch (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) (taylor 0 x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) (patch (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) (taylor 0 x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) (patch (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) (taylor 0 x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) (patch (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (.f64 x x) (log1p.f64 (fabs.f64 x))) (patch (fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (.f64 x x) (log1p.f64 (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (.f64 x x) (log1p.f64 (fabs.f64 x))) (patch (fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (.f64 x x) (log1p.f64 (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (.f64 x x) (log1p.f64 (fabs.f64 x))) (patch (fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (.f64 x x) (log1p.f64 (fabs.f64 x))) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

inf

((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (+ (* (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (* x x)) (log (+ 1 (fabs x)))) (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (* (/ 1/2 (+ 1 (fabs x))) x) (/ 1/2 (+ 1 (fabs x))) (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) (sqrt (+ (* x x) 1)))

5.0ms

((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (+ (* (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (* x x)) (log (+ 1 (fabs x)))) (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (* (/ 1/2 (+ 1 (fabs x))) x) (/ 1/2 (+ 1 (fabs x))) (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) (sqrt (+ (* x x) 1)))

5.0ms

-inf

((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (+ (* (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (* x x)) (log (+ 1 (fabs x)))) (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (* (/ 1/2 (+ 1 (fabs x))) x) (/ 1/2 (+ 1 (fabs x))) (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) (sqrt (+ (* x x) 1)))

simplify295.0ms (4.6%)

Memory

-2.6MiB live, 193.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 044×	`lower-fma.f64`
12 044×	`lower-fma.f32`
3 416×	`lower-*.f64`
3 416×	`lower-*.f32`
2 920×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	196	2904
1	584	2786
2	1811	2776
3	4647	2616
4	7008	2613
0	8260	2448

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 190

Calls

Call 1

Inputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(/ 1/2 (+ 1 (fabs x)))
(+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))
(* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))
(* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))

Outputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) (fma.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1 binary64)) (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 30 binary64) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 x x) (log1p.f64 (fabs.f64 x)))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x (log1p.f64 (fabs.f64 x)))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x)
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x)
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x)
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
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rewrite266.0ms (4.2%)

Memory

19.2MiB live, 137.3MiB allocated

Rules

6 378×	`lower-fma.f32`
6 374×	`lower-fma.f64`
4 754×	`lower-/.f32`
4 746×	`lower-/.f64`
4 698×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	348
0	73	348
1	260	348
2	1994	348
0	9058	337

Stop Event

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

Counts

16 → 411

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)
(fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))
(fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x))))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(fabs.f64 x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)))
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))

Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (fabs.f64 x) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(.f64 (/.f64 x (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(.f64 (/.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))
(.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(*.f64 (/.f64 (neg.f64 x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (neg.f64 x) #s(literal 2 binary64)))
(.f64 (/.f64 x #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (.f64 x x) #s(literal 2 binary64)))
(.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x))
(.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) #s(literal 1/2 binary64))
(.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 x #s(literal 2 binary64)))
(.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)
(.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 x (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x))
(pow.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (neg.f64 x) (.f64 #s(literal 1/2 binary64) x))) (neg.f64 (neg.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) (neg.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x))) (neg.f64 (neg.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (neg.f64 x))) (neg.f64 (neg.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) (neg.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 (neg.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(/.f64 (.f64 (neg.f64 x) (.f64 #s(literal 1/2 binary64) x)) (neg.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (neg.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (neg.f64 x)) (neg.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x)) (neg.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/.f64 (.f64 x x) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)))
(.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (.f64 x x)) (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (log1p.f64 (fabs.f64 x)))))
(.f64 (+.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x)) x (.f64 (log1p.f64 (fabs.f64 x)) (-.f64 (log1p.f64 (fabs.f64 x)) (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))))))
(pow.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (log1p.f64 (fabs.f64 x))) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (.f64 x x)) (fma.f64 (.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
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(fma.f64 (/.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 x #s(literal 1/3 binary64)) (.f64 #s(literal 3 binary64) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))) (.f64 #s(literal 3 binary64) (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 #s(literal 3 binary64) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)))
(fma.f64 (/.f64 x (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (/.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 #s(literal 3 binary64) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)))
(fma.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))) (.f64 #s(literal 3 binary64) (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)))
(fma.f64 (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 #s(literal 3 binary64) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)))
(fma.f64 (/.f64 #s(literal 3 binary64) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 3 binary64) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (/.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 #s(literal 3 binary64) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))) (.f64 #s(literal 3 binary64) (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 #s(literal 3 binary64) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)))
(fma.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 #s(literal 3 binary64) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(fma.f64 (.f64 #s(literal 3 binary64) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(fma.f64 (.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x (.f64 #s(literal 3 binary64) (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)))
(fma.f64 (.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 #s(literal 3 binary64) (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)))
(fma.f64 (.f64 #s(literal 3 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (neg.f64 x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (neg.f64 x) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1/3 binary64))) (.f64 #s(literal 3 binary64) (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)))
(fma.f64 (.f64 #s(literal 3 binary64) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 #s(literal 3 binary64) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) #s(literal 1/3 binary64)) (.f64 #s(literal 3 binary64) (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (.f64 x x) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1/3 binary64))) (.f64 #s(literal 3 binary64) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)))
(fma.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (.f64 #s(literal 3 binary64) (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 #s(literal 3 binary64) (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)))
(fma.f64 #s(literal 3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)) (.f64 #s(literal 3 binary64) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)))
(fma.f64 #s(literal 3 binary64) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(fma.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/3 binary64)) (.f64 #s(literal 3 binary64) (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)))
(fma.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 #s(literal 3 binary64) (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)))
(fma.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) #s(literal 3 binary64) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (.f64 x #s(literal 1 binary64)) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1/3 binary64))) (.f64 #s(literal 3 binary64) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)))
(fma.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 x (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1/3 binary64))) (.f64 #s(literal 3 binary64) (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)))
(fma.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/3 binary64)) (.f64 #s(literal 3 binary64) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)))
(fma.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 x (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (.f64 #s(literal 3 binary64) (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)))
(fma.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 x #s(literal 3 binary64)) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(fma.f64 x (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(fma.f64 x (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (.f64 #s(literal 3 binary64) (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 (-.f64 (.f64 (.f64 x x) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (.f64 #s(literal 3 binary64) (.f64 x x))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)) (.f64 #s(literal 3 binary64) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) (/.f64 (-.f64 (.f64 (.f64 x x) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (.f64 #s(literal 3 binary64) (.f64 x x))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))
(+.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (.f64 #s(literal 3 binary64) (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)))
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))

eval158.0ms (2.5%)

Memory: 4.2MiB live, 111.6MiB allocated
Compiler: Compiled 26 122 to 2 211 computations (91.5% saved)

prune206.0ms (3.2%)

Memory

-16.2MiB live, 107.8MiB allocated

Pruning

27 alts after pruning (18 fresh and 9 done)

	Pruned	Kept	Total
New	678	18	696
Fresh	0	0	0
Picked	1	2	3
Done	0	7	7
Total	679	27	706

Accuracy

100.0%

Counts

706 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	26.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
✓	19.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
✓	9.6%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64)))) x)
✓	28.8%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
✓	27.2%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
	51.2%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) (fma.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (log1p.f64 (fabs.f64 x)))) x)
✓	51.9%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x)
✓	64.4%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
✓	9.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
	3.4%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (* x x)) (log (+ 1 (fabs x)))) (.f64 (.f64 (.f64 x x) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)) (-.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x)
	5.9%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x)
	6.1%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x)
	5.9%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))))) x)
	5.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
	5.2%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x)
	6.1%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) x)
	6.1%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) x))) x))) x)
	4.6%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))))) x)
	5.9%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) x)
	5.9%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x)))) x)
	5.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x))) x)
	5.9%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x)
	4.7%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x))) x)
	5.2%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))) x))) x)
✓	6.1%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
	5.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x))) x)
	5.9%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)

Compiler

Compiled 1 031 to 413 computations (59.9% saved)

regimes19.0ms (0.3%)

Memory

26.6MiB live, 26.6MiB allocated

Counts

32 → 3

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) x))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (* x x)) (log (+ 1 (fabs x)))) (.f64 (.f64 (.f64 x x) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)) (-.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) (fma.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (log1p.f64 (fabs.f64 x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) x)

Outputs

(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)

(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) (fma.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (log1p.f64 (fabs.f64 x)))) x)

(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)

Calls

2 calls:

9.0ms	x
8.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
100.0%	3	`x`
100.0%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes83.0ms (1.3%)

Memory

-15.1MiB live, 23.1MiB allocated

Counts

30 → 3

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) x))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (* x x)) (log (+ 1 (fabs x)))) (.f64 (.f64 (.f64 x x) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)) (-.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x)

Outputs

(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)

(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x)

(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)

Calls

2 calls:

74.0ms	x
7.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
99.9%	3	`x`
99.9%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes17.0ms (0.3%)

Memory

25.9MiB live, 25.9MiB allocated

Counts

29 → 3

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) x))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (* x x)) (log (+ 1 (fabs x)))) (.f64 (.f64 (.f64 x x) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)) (-.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)))) x)

Outputs

(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)

(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)

(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)

Calls

2 calls:

8.0ms	x
7.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
99.2%	3	`x`
99.2%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes64.0ms (1%)

Memory

-23.7MiB live, 25.8MiB allocated

Counts

26 → 3

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) x))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (* x x)) (log (+ 1 (fabs x)))) (.f64 (.f64 (.f64 x x) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)) (-.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 #s(approx (+ (* (+ (* -1/8 (* x x)) 1/2) (fabs x)) 1) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x) #s(literal 1 binary64)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) x)

Outputs

(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)

(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)

(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)

Calls

2 calls:

27.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
7.0ms	x

Results

Accuracy	Segments	Branch
99.2%	3	`x`
99.2%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes51.0ms (0.8%)

Memory

-18.1MiB live, 18.4MiB allocated

Counts

22 → 2

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) x))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (* x x)) (log (+ 1 (fabs x)))) (.f64 (.f64 (.f64 x x) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)) (-.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)

Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)

Calls

2 calls:

43.0ms	x
6.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
81.3%	2	`x`
81.3%	2	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes13.0ms (0.2%)

Memory

19.6MiB live, 19.6MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) x))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (* x x)) (log (+ 1 (fabs x)))) (.f64 (.f64 (.f64 x x) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)) (-.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)

Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)

Calls

2 calls:

6.0ms	x
6.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
64.4%	1	`x`
64.4%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes25.0ms (0.4%)

Memory

-9.5MiB live, 27.8MiB allocated

Counts

20 → 2

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) x))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (* x x)) (log (+ 1 (fabs x)))) (.f64 (.f64 (.f64 x x) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)) (-.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x)

Outputs

(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)

(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)

Calls

2 calls:

19.0ms	x
5.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
12.4%	2	`x`
12.4%	2	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes12.0ms (0.2%)

Memory

27.1MiB live, 27.1MiB allocated

Accuracy

Total -2.4b remaining (-4%)

Threshold costs -2.4b (-4%)

Counts

18 → 1

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) x))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (* x x)) (log (+ 1 (fabs x)))) (.f64 (.f64 (.f64 x x) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)) (-.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x)

Outputs

(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)

Calls

2 calls:

5.0ms	x
5.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
6.1%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
6.1%	1	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.8995095982248208e-8	14.517034114963053
0.0ms	-28.11454694471794	-8.290838122757411e-5

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.8995095982248208e-8	14.517034114963053
0.0ms	-28.11454694471794	-8.290838122757411e-5

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch29.0ms (0.5%)

Memory

-36.5MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.8995095982248208e-8	14.517034114963053
0.0ms	-28.11454694471794	-8.290838122757411e-5

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.8995095982248208e-8	14.517034114963053
0.0ms	-28.11454694471794	-8.290838122757411e-5

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.8995095982248208e-8	14.517034114963053

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch17.0ms (0.3%)

Memory

33.1MiB live, 33.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.899509603030839e-8	1008411.556438078

Samples

10.0ms

160×

valid

Compiler

Compiled 246 to 151 computations (38.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-log: 2.0ms (29.2% of total)

ival-hypot: 2.0ms (29.2% of total)

ival-copysign: 1.0ms (14.6% of total)

ival-add: 1.0ms (14.6% of total)

ival-fabs: 1.0ms (14.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify39.0ms (0.6%)

Memory

-18.5MiB live, 20.1MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative_binary64`
14×	`*-commutative_binary64`
10×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	518
1	98	518
2	108	518
3	114	518
4	118	518
5	119	518

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -20 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) (fma.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -20 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -20 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -20 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(if (<=.f64 x #s(literal 7782220156096217/72057594037927936 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)

Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -20 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) (fma.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 x))) x) #s(literal -20 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 x))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) (fma.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -20 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 x))) x) #s(literal -20 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 x))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ ( x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -20 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 x))) x) #s(literal -20 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 x))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -20 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 x))) x) #s(literal -20 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 x))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 x))) x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(if (<=.f64 x #s(literal 7782220156096217/72057594037927936 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x)

soundness939.0ms (14.7%)

Memory

11.4MiB live, 655.7MiB allocated

Rules

24 610×	`lower-fma.f64`
24 610×	`lower-fma.f32`
13 344×	`lower-fma.f64`
13 344×	`lower-fma.f32`
12 044×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	196	2904
1	584	2786
2	1811	2776
3	4647	2616
4	7008	2613
0	8260	2448
0	199	3632
1	578	3465
2	1765	3331
3	6044	3221
0	8226	2958
0	169	782
1	490	754
2	1513	741
3	5415	691
0	8408	635

Stop Event

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

Compiler

Compiled 505 to 173 computations (65.7% saved)

preprocess204.0ms (3.2%)

Memory: 5.6MiB live, 203.2MiB allocated
Compiler: Compiled 718 to 152 computations (78.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample386.0ms (6%)

explain286.0ms (4.5%)

preprocess21.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize70.0ms (1.1%)

series6.0ms (0.1%)

simplify240.0ms (3.7%)

rewrite461.0ms (7.2%)

eval86.0ms (1.4%)

prune64.0ms (1%)

simplify174.0ms (2.7%)

localize125.0ms (2%)

series183.0ms (2.9%)

simplify176.0ms (2.8%)

rewrite303.0ms (4.7%)

eval72.0ms (1.1%)

prune92.0ms (1.4%)

simplify30.0ms (0.5%)

localize114.0ms (1.8%)

series22.0ms (0.3%)

simplify186.0ms (2.9%)

rewrite240.0ms (3.7%)

eval86.0ms (1.3%)

prune136.0ms (2.1%)

simplify142.0ms (2.2%)

localize191.0ms (3%)

series54.0ms (0.8%)

simplify295.0ms (4.6%)

rewrite266.0ms (4.2%)

eval158.0ms (2.5%)

prune206.0ms (3.2%)

regimes19.0ms (0.3%)

regimes83.0ms (1.3%)

regimes17.0ms (0.3%)

regimes64.0ms (1%)

regimes51.0ms (0.8%)

regimes13.0ms (0.2%)

regimes25.0ms (0.4%)

regimes12.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch29.0ms (0.5%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch17.0ms (0.3%)

simplify39.0ms (0.6%)

soundness939.0ms (14.7%)

preprocess204.0ms (3.2%)

end0.0ms (0%)

Profiling