Metrics for Rust f64::asinh

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample632.0ms (7.2%)

Memory

16.5MiB live, 722.7MiB allocated

Samples

442.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-asinh: 120.0ms (93.7% of total)

ival-true: 5.0ms (3.9% of total)

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

Bogosity

explain414.0ms (4.7%)

Memory

6.7MiB live, 287.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
125	-	-	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
61	-	-	`(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	124	1
`sqrt.f64`	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	61	0
↳	`(*.f64 x x)`	overflow	61
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	61
`log.f64`	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`	oflow-rescue	1	0
↳	`(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`	overflow	1
↳	`(*.f64 x x)`	overflow	61
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	61

Confusion

	Predicted +	Predicted -
+	185	0
-	0	71

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	185	0	0
-	0	1	70

Precision?

0.9946236559139785

Recall?

1.0

Freqs

test

number	freq
0	71
1	184
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

161.0ms	270×	0	valid
110.0ms	136×	1	valid
48.0ms	106×	2	valid

Compiler

Compiled 163 to 40 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-hypot: 43.0ms (33.5% of total)

ival-log: 36.0ms (28.1% of total)

ival-fabs: 25.0ms (19.5% of total)

adjust: 7.0ms (5.5% of total)

ival-copysign: 7.0ms (5.5% of total)

ival-add: 6.0ms (4.7% of total)

ival-mult: 4.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess49.0ms (0.6%)

Memory

-20.5MiB live, 18.4MiB allocated

Algorithm

1×	egg-herbie

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 12 to 9 computations (25% saved)

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	32.3%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Compiler

Compiled 12 to 9 computations (25% saved)

simplify3.0ms (0%)

Memory

3.0MiB live, 3.0MiB 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))

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)

localize131.0ms (1.5%)

Memory

-31.1MiB live, 67.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 x)
accuracy	0.00390625	(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
accuracy	14.229383900036295	(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
accuracy	28.825397970683213	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Samples

66.0ms	53×	2	valid
42.0ms	68×	1	valid
13.0ms	135×	0	valid

Compiler

Compiled 100 to 20 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-log: 60.0ms (54.4% of total)

ival-mult: 29.0ms (26.3% of total)

ival-hypot: 9.0ms (8.2% of total)

adjust: 3.0ms (2.7% of total)

ival-copysign: 3.0ms (2.7% of total)

ival-add: 3.0ms (2.7% of total)

ival-fabs: 2.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB 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))

simplify468.0ms (5.3%)

Memory

25.1MiB live, 215.5MiB allocated

Algorithm

1×	egg-herbie

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

rewrite223.0ms (2.5%)

Memory

20.1MiB live, 174.4MiB allocated

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
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eval112.0ms (1.3%)

Memory: -19.4MiB live, 136.6MiB allocated
Compiler: Compiled 8 272 to 1 648 computations (80.1% saved)

prune23.0ms (0.3%)

Memory

22.5MiB live, 62.2MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	334	15	349
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	335	15	350

Accuracy

99.7%

Counts

350 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.9%	(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x)
	6.6%	(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) x)
▶	32.3%	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
▶	9.9%	(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)
	28.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
	25.5%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
	19.5%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
▶	29.1%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
	25.9%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
	9.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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)
	50.8%	(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))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (log1p.f64 (fabs.f64 x))))) x)
	51.6%	(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)
	9.3%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (/.f64 (fabs.f64 x) x) (log.f64 x))) x)
	63.8%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
▶	8.9%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)

Compiler

Compiled 454 to 286 computations (37% saved)

simplify168.0ms (1.9%)

Memory

-33.4MiB live, 103.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
cost-diff	0	(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
cost-diff	0	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
cost-diff	0	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) 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	(+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))
cost-diff	0	(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x)
cost-diff	64	(fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
cost-diff	64	(fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	412
0	65	412
1	87	412
2	108	412
3	146	412
4	209	408
5	343	408
6	606	408
7	1035	408
8	1486	408
9	1804	408
10	2294	408
11	2426	408
12	2551	408
13	2688	408
14	2700	408
15	2700	408
0	2700	403

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize205.0ms (2.3%)

Memory

-10.7MiB live, 187.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
accuracy	0	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy	0	(fabs.f64 x)
accuracy	0.08683258407475075	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
accuracy	0	(*.f64 x x)
accuracy	0	(fabs.f64 x)
accuracy	0.08683258407475075	(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	0.4290917524203878	#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	0.08683258407475075	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)))
accuracy	0.9688416047990696	#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	0.8746979396971092	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))
accuracy	0.00390625	(+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))
accuracy	0.0078125	(*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
accuracy	0.08991577178490076	(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))
accuracy	0.1387407955966573	(-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))

Samples

88.0ms	127×	0	invalid
38.0ms	125×	1	exit
16.0ms	4×	0	valid

Compiler

Compiled 768 to 59 computations (92.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-add: 50.0ms (42.3% of total)

ival-mult: 30.0ms (25.4% of total)

ival-log: 12.0ms (10.2% of total)

adjust: 8.0ms (6.8% of total)

ival-copysign: 5.0ms (4.2% of total)

ival-hypot: 4.0ms (3.4% of total)

ival-log1p: 3.0ms (2.5% of total)

ival-div: 2.0ms (1.7% of total)

ival-sub: 2.0ms (1.7% of total)

ival-fabs: 1.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series156.0ms (1.8%)

Memory

21.2MiB live, 177.8MiB allocated

Counts

24 → 288

Calls

Call 1

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

Outputs
#s(alt (* (fabs x) (- (fabs x) 1)) (taylor 0 x) (#s(alt (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (patch (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x))))) (taylor 0 x) (#s(alt (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (patch (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x))))))) (taylor 0 x) (#s(alt (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (patch (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x)))))))) (taylor 0 x) (#s(alt (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (patch (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (fabs x) (- (fabs x) 1))) (taylor 0 x) (#s(alt (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (patch (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x)))))) (taylor 0 x) (#s(alt (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (patch (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x)))))))) (taylor 0 x) (#s(alt (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (patch (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x))))))))) (taylor 0 x) (#s(alt (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (patch (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) (taylor 0 x) (#s(alt (copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) (patch (copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) (taylor 0 x) (#s(alt (copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) (patch (copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) (taylor 0 x) (#s(alt (copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) (patch (copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) #<representation binary64>) () ())) ())
#s(alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) (taylor 0 x) (#s(alt (copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) (patch (copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1)))))) (taylor 0 x) (#s(alt (+.f64 (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) (patch (+.f64 (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x)))))))) (taylor 0 x) (#s(alt (+.f64 (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) (patch (+.f64 (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (+ (* 1/24 (+ (* -24 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -12 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2))))) (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x))))))))) (taylor 0 x) (#s(alt (+.f64 (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) (patch (+.f64 (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (+ (* 1/24 (+ (* -24 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -12 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2))))) (+ (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (* (pow x 2) (+ (* 1/720 (+ (* -90 (/ (* (fabs x) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* -45 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 240 (/ (pow (+ 1 (* -1/2 (fabs x))) 3) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3)))))) (* 1/720 (+ (* 240 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 3)) (pow (+ 1 (fabs x)) 3))) (+ (* 720 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/16 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1 (/ (* (+ 1 (* -1/2 (fabs x))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/16 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 1/8 (/ (* (fabs x) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ 1 (fabs x)))) (* 720 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (* (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (pow (+ 1 (fabs x)) 2))))))))))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x))))))))) (taylor 0 x) (#s(alt (+.f64 (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) (patch (+.f64 (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 x) (taylor -inf x) (#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 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) (taylor -inf x) (#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 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) (taylor -inf x) (#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 (* -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) #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 (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 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) (patch (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) 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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) (patch (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) 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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) (patch (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) 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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) (patch (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (patch (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (patch (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) #<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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (patch (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) #<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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (patch (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (patch (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) (taylor -inf x) (#s(alt (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (patch (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) (taylor -inf x) (#s(alt (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (patch (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #<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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (patch (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (patch (sqrt.f64 (fma.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 (fma.f64 x x #s(literal 1 binary64))) (patch (sqrt.f64 (fma.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 (fma.f64 x x #s(literal 1 binary64))) (patch (sqrt.f64 (fma.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 (fma.f64 x x #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (patch (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (patch (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (patch (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (fabs x) (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (patch (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log (/ -1 x)) (taylor -inf x) (#s(alt (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) (patch (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -1 x)) (* -1 (/ (- (fabs x) (* -1 (fabs x))) x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) (patch (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -1 x)) (* -1 (/ (- (+ (fabs x) (* -1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) x))) (* -1 (fabs x))) x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) (patch (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -1 x)) (* -1 (/ (- (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 2 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 6 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) x)) (* 1/2 (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))))) x))) (* -1 (fabs x))) x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) (patch (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (fabs x)) (taylor -inf x) (#s(alt (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (patch (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) x))))) (taylor -inf x) (#s(alt (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (patch (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2)) x))))) (taylor -inf x) (#s(alt (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (patch (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (fabs x)) (* 1/8 (/ (fabs x) (pow x 2)))) x)) (pow (fabs x) 2)) x))))) (taylor -inf x) (#s(alt (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (patch (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (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 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (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 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 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 (* 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 (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
63.0ms	x	@	0	((+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)) (copysign (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (sqrt (+ (* x x) 1)) (fabs x)) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) x) (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (sqrt (+ (* x x) 1)) (fabs x)) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) (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))) (fabs x) (copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x) (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (+ (sqrt (+ (* x x) 1)) (fabs x)) (sqrt (+ (* x x) 1)) (- (fabs x) (sqrt (+ (* x x) 1))) (log (/ (+ (sqrt (+ (* x x) 1)) (fabs x)) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (sqrt (+ (* x x) 1)) (* x x))
56.0ms	x	@	inf	((+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)) (copysign (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (sqrt (+ (* x x) 1)) (fabs x)) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) x) (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (sqrt (+ (* x x) 1)) (fabs x)) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) (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))) (fabs x) (copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x) (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (+ (sqrt (+ (* x x) 1)) (fabs x)) (sqrt (+ (* x x) 1)) (- (fabs x) (sqrt (+ (* x x) 1))) (log (/ (+ (sqrt (+ (* x x) 1)) (fabs x)) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (sqrt (+ (* x x) 1)) (* x x))
24.0ms	x	@	-inf	((+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)) (copysign (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (sqrt (+ (* x x) 1)) (fabs x)) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) x) (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (sqrt (+ (* x x) 1)) (fabs x)) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) (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))) (fabs x) (copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x) (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (+ (sqrt (+ (* x x) 1)) (fabs x)) (sqrt (+ (* x x) 1)) (- (fabs x) (sqrt (+ (* x x) 1))) (log (/ (+ (sqrt (+ (* x x) 1)) (fabs x)) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (sqrt (+ (* x x) 1)) (* x x))

Time

Variable

Point

Expression

63.0ms

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

56.0ms

inf

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

24.0ms

-inf

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

simplify186.0ms (2.1%)

Memory

-17.2MiB live, 299.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	576	7128
1	1843	6719
2	6865	6713
0	8007	6100

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 282

Calls

Call 1

Inputs
(* (fabs x) (- (fabs x) 1))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x)))))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x)))))))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x))))))))
(+ 1 (* (fabs x) (- (fabs x) 1)))
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(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x))))))))
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x)))))))))
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(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (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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(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)))))
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))) x)) 1)))
(log (/ -1 x))
(+ (log (/ -1 x)) (* -1 (/ (- (fabs x) (* -1 (fabs x))) x)))
(+ (log (/ -1 x)) (* -1 (/ (- (+ (fabs x) (* -1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) x))) (* -1 (fabs x))) x)))
(+ (log (/ -1 x)) (* -1 (/ (- (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 2 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 6 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) x)) (* 1/2 (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))))) x))) (* -1 (fabs x))) x)))
(* x (fabs x))
(* -1 (* x (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) x)))))
(* -1 (* x (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2)) x)))))
(* -1 (* x (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (fabs x)) (* 1/8 (/ (fabs x) (pow x 2)))) x)) (pow (fabs x) 2)) 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)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
(* (fabs x) (- (fabs x) 1))
(fma.f64 x x (neg.f64 (fabs.f64 x)))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x)))))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1 binary64)) x) x (fma.f64 x x (neg.f64 (fabs.f64 x))))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x)))))))
(fma.f64 (.f64 (fma.f64 (fabs.f64 x) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) x (fma.f64 x x (neg.f64 (fabs.f64 x))))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x))))))))
(fma.f64 (fma.f64 (.f64 (fabs.f64 x) (fma.f64 #s(literal -1/16 binary64) (.f64 x x) #s(literal 1/8 binary64))) (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x) (fma.f64 x x (neg.f64 (fabs.f64 x))))
(+ 1 (* (fabs x) (- (fabs x) 1)))
(fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x))))))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1 binary64)) x) x (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)))
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x))))))))
(fma.f64 (fma.f64 (fabs.f64 x) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)))
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x)))))))))
(fma.f64 (fma.f64 (.f64 (fabs.f64 x) (fma.f64 #s(literal -1/16 binary64) (.f64 x x) #s(literal 1/8 binary64))) (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x) (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)))
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)
(copysign.f64 (+.f64 (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64))))) (log1p.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (*.f64 x x)))) x)
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)
(copysign.f64 (+.f64 (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64))))) (log1p.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (*.f64 x x)))) x)
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)
(copysign.f64 (+.f64 (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64))))) (log1p.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (*.f64 x x)))) x)
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)
(copysign.f64 (+.f64 (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64))))) (log1p.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (*.f64 x x)))) x)
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)))) (log1p.f64 (fma.f64 x x (neg.f64 (fabs.f64 x)))))
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x))))))))
(fma.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 (/.f64 (fabs.f64 x) (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))))) (.f64 x x) (+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)))) (log1p.f64 (fma.f64 x x (neg.f64 (fabs.f64 x))))))
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (+ (* 1/24 (+ (* -24 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -12 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2))))) (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x)))))))))
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(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 x x (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 2 binary64)))) #s(literal -2 binary64) (neg.f64 (pow.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) #s(literal 2 binary64)))) x) #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (fabs.f64 x))) x))
(+ (log (/ -1 x)) (* -1 (/ (- (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 2 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 6 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) x)) (* 1/2 (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))))) x))) (* -1 (fabs x))) x)))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (fabs.f64 x) (+.f64 #s(literal -1/2 binary64) (fma.f64 x x (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (fabs.f64 x)))) #s(literal -6 binary64) (fma.f64 (.f64 #s(literal 6 binary64) (.f64 #s(literal 2 binary64) (fabs.f64 x))) (fma.f64 x x (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 8 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)))) x) #s(literal -1/6 binary64) (fma.f64 (fma.f64 x x (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 2 binary64)))) #s(literal -1 binary64) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) x) #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (fabs.f64 x))) x))
(* x (fabs x))
(*.f64 (fabs.f64 x) x)
(* -1 (* x (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) x)))))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) x) (fabs.f64 x))) x)
(* -1 (* x (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2)) x)))))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (fabs.f64 x) x) #s(literal 1/2 binary64) (*.f64 x x)) x) (fabs.f64 x))) x)
(* -1 (* x (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (fabs x)) (* 1/8 (/ (fabs x) (pow x 2)))) x)) (pow (fabs x) 2)) x)))))
(.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (fma.f64 (/.f64 (/.f64 (fabs.f64 x) x) x) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (fabs.f64 x))) (neg.f64 x))) (neg.f64 x)) (fabs.f64 x)) (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

rewrite231.0ms (2.6%)

Memory

13.9MiB live, 330.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	331
0	65	395
1	212	267
2	1705	267
0	8580	267

Stop Event

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

Counts

24 → 829

Calls

Call 1

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

Outputs
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eval573.0ms (6.5%)

Memory: 6.5MiB live, 510.4MiB allocated
Compiler: Compiled 82 283 to 6 432 computations (92.2% saved)

prune85.0ms (1%)

Memory

-8.4MiB live, 114.8MiB allocated

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	1 523	5	1 528
Fresh	4	6	10
Picked	0	5	5
Done	0	0	0
Total	1 527	16	1 543

Accuracy

99.7%

Counts

1 543 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.1%	(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (-.f64 (log.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) (log.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))))))) x)
✓	74.9%	(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x)
	6.6%	(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) x)
✓	32.3%	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
✓	9.9%	(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)
	28.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
▶	25.5%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
▶	19.5%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
✓	29.1%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
	25.9%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
	9.3%	(copysign.f64 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (sqrt (+ (* x x) 1)) (fabs x)) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))) x)
	50.8%	(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (fma.f64 (.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 x x) (log1p.f64 (fabs.f64 x)))) x)
▶	51.6%	(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))) x)
▶	63.8%	(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (log1p.f64 (fabs.f64 x))) x)
	9.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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)
✓	8.9%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)

Compiler

Compiled 470 to 281 computations (40.2% saved)

simplify288.0ms (3.3%)

Memory

36.6MiB live, 227.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
cost-diff	0	(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))
cost-diff	0	#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x))))
cost-diff	0	(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))) x)
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	(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	(fabs.f64 x)
cost-diff	0	(log1p.f64 (fabs.f64 x))
cost-diff	0	#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (log1p.f64 (fabs.f64 x)))
cost-diff	0	(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (log1p.f64 (fabs.f64 x))) x)
cost-diff	64	(fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
cost-diff	256	(neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64))))
cost-diff	256	(neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))
cost-diff	17408	(+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (-.f64 (log.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) (log.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64))))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	524
0	84	532
1	137	532
2	263	442
3	743	436
4	1415	431
5	2218	431
6	3503	431
7	4764	431
8	5238	431
9	5418	431
10	5484	431
11	5501	431
12	5501	431
13	5741	431
14	5895	431
15	6001	431
16	6035	431
17	6055	431
18	6055	431
0	8734	427

Stop Event

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

Calls

Call 1

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

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

localize501.0ms (5.7%)

Memory

-26.2MiB live, 544.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))
accuracy	0.01171875	(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
accuracy	0.08203125	(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
accuracy	31.005981208662185	#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x))))
accuracy	0	(fabs.f64 x)
accuracy	0.00390625	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
accuracy	28.825397970683213	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
accuracy	47.656166878618	#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
accuracy	0	(fabs.f64 x)
accuracy	0.00390625	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))
accuracy	28.825397970683213	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
accuracy	31.196055618270137	#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
accuracy	0	(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (log1p.f64 (fabs.f64 x))) x)
accuracy	0	(log1p.f64 (fabs.f64 x))
accuracy	0	(fabs.f64 x)
accuracy	23.195835206801235	#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (log1p.f64 (fabs.f64 x)))
accuracy	14.777902337936572	(log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
accuracy	28.825397970683213	(log.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))))
accuracy	30.071900114214984	(-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
accuracy	43.36146551955391	(log.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64))))))

Samples

226.0ms	53×	2	valid
184.0ms	191×	1	valid
4.0ms	12×	0	valid

Compiler

Compiled 971 to 80 computations (91.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 237.0ms

ival-log: 112.0ms (47.3% of total)

adjust: 28.0ms (11.8% of total)

ival-add: 21.0ms (8.9% of total)

ival-mult: 14.0ms (5.9% of total)

ival-hypot: 13.0ms (5.5% of total)

ival-copysign: 12.0ms (5.1% of total)

ival-log1p: 11.0ms (4.6% of total)

ival-sub: 8.0ms (3.4% of total)

ival-neg: 8.0ms (3.4% of total)

ival-div: 7.0ms (3% of total)

ival-fabs: 1.0ms (0.4% of total)

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

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

exact: 0.0ms (0% of total)

series98.0ms (1.1%)

Memory

-4.1MiB live, 156.4MiB allocated

Counts

25 → 300

Calls

Call 1

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

Outputs
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (+.f64 (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (-.f64 (log.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) (log.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))))))) (patch (+.f64 (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (-.f64 (log.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) (log.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))))))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) (taylor -inf x) (#s(alt (log.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) (patch (log.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) #<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 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) (patch (log.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) #<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 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) (patch (log.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* -2 (log (/ -1 x))) (taylor -inf x) (#s(alt (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (patch (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (log (/ -1 x))) (/ (fabs x) x)) (taylor -inf x) (#s(alt (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (patch (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) x))) x))) (taylor -inf x) (#s(alt (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (patch (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) x)) (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))))) x))) x))) (taylor -inf x) (#s(alt (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (patch (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (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>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (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>) () ())) ())
#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>) () ())) ())
#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)) #s(literal 1 binary64)) (patch #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#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>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#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>) () ())) ())
#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)) (-.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>) () ())) ())
#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)) (-.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>) () ())) ())
#s(alt (/ 1/2 (+ 1 (fabs x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (+ 1 (fabs x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (+ 1 (fabs x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (+ 1 (fabs x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

38.0ms

inf

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

25.0ms

-inf

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

20.0ms

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

simplify281.0ms (3.2%)

Memory

7.0MiB live, 323.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	386	5003
1	1168	4756
2	3800	4564
0	8417	4168

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 294

Calls

Call 1

Inputs
(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 (* (fabs x) (- (fabs x) 1))))
(- (* -1 (* (pow x 2) (+ 1 (* -1/2 (fabs x))))) (+ 1 (* (fabs x) (- (fabs x) 1))))
(- (* (pow x 2) (- (* -1/8 (* (pow x 2) (fabs x))) (+ 1 (* -1/2 (fabs x))))) (+ 1 (* (fabs x) (- (fabs x) 1))))
(- (* (pow x 2) (- (* (pow x 2) (- (* 1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x)))) (+ 1 (* -1/2 (fabs x))))) (+ 1 (* (fabs x) (- (fabs x) 1))))
(* (fabs x) (- (fabs x) 1))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x)))))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x)))))))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (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 (+ 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)))))))
(+ 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))))))
(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))))))
(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 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(log (+ 1 (* (fabs x) (- (fabs x) 1))))
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (pow x 2) (+ 1 (* -1/2 (fabs x)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/24 (* (pow x 2) (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1)))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))))
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* -90 (/ (* (fabs x) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* -45 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 240 (/ (pow (+ 1 (* -1/2 (fabs x))) 3) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3))))))) (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))))
(- (fabs x) 1)
(- (+ (fabs x) (* -1/2 (pow x 2))) 1)
(- (+ (fabs x) (* (pow x 2) (- (* 1/8 (pow x 2)) 1/2))) 1)
(- (+ (fabs x) (* (pow x 2) (- (* (pow x 2) (+ 1/8 (* -1/16 (pow x 2)))) 1/2))) 1)
(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)))))))
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(log (+ 1 (* (fabs x) (- (fabs x) 1))))
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1
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1
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(/ 1/2 (+ 1 (fabs x)))
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x
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(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (/ (pow (fabs x) 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (/ (pow (fabs x) 2) (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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(fabs x)
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(* -1 (log (/ 1 x)))
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x
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(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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)
(* -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))))
(* 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))))
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(+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) (pow x 3))) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2))))))
(* -1 x)
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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))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
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(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs 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)))))
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(* (pow x 2) (- (* -1 (/ (- (+ (/ 1 x) (/ (pow (fabs x) 2) x)) (* -1 (fabs x))) x)) 1))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (fabs x) x)) (+ 1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) 1))
(pow x 2)
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(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/2 (/ (fabs x) x)) (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)
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(log (+ 1 (fabs x)))
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(* -1 (log (/ -1 x)))
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(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
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(* -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)))
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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)))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
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(* -1 (log (/ -1 x)))
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x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
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(* -1 (* x (- (* -1 (/ (+ (fabs x) (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))) x)) 1)))
(* -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)))
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(* -1 x)
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(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
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(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))

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

rewrite254.0ms (2.9%)

Memory

0.0MiB live, 323.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	344
0	82	364
1	306	300
2	2308	300
0	8669	300

Stop Event

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

Counts

25 → 595

Calls

Call 1

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

Outputs
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eval231.0ms (2.6%)

Memory: 21.1MiB live, 400.0MiB allocated
Compiler: Compiled 52 475 to 4 425 computations (91.6% saved)

prune139.0ms (1.6%)

Memory

7.6MiB live, 130.8MiB allocated

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	1 126	5	1 131
Fresh	2	4	6
Picked	1	4	5
Done	0	5	5
Total	1 129	18	1 147

Accuracy

99.8%

Counts

1 147 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.1%	(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (-.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (log.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))))))) x)
✓	74.9%	(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x)
	41.2%	(copysign.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) (*.f64 x x)))) (-.f64 (log.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) (log.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))))))) x)
	6.6%	(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) x)
✓	32.3%	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
✓	9.9%	(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)
	28.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
✓	25.5%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
✓	19.5%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
✓	29.1%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
	25.9%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
▶	50.8%	(copysign.f64 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (- (log (neg (neg (+ (sqrt (+ (* x x) 1)) (fabs x))))) (log (neg (neg (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1))))))) (fma.f64 (fma.f64 (.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (.f64 x x) (log1p.f64 (fabs.f64 x)))) x)
▶	9.3%	(copysign.f64 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (- (log (neg (neg (+ (sqrt (+ (* x x) 1)) (fabs x))))) (log (neg (neg (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1))))))) (+.f64 (/.f64 (fabs.f64 x) x) (log.f64 x))) x)
✓	51.6%	(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))) x)
✓	63.8%	(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (log1p.f64 (fabs.f64 x))) x)
▶	6.3%	(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
▶	9.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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)
✓	8.9%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)

Compiler

Compiled 586 to 321 computations (45.2% saved)

simplify133.0ms (1.5%)

Memory

-9.7MiB live, 157.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 (.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x) x (/.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	#s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (- (log (neg (neg (+ (sqrt (+ (* x x) 1)) (fabs x))))) (log (neg (neg (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1))))))) (fma.f64 (fma.f64 (.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x) x (/.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 (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (- (log (neg (neg (+ (sqrt (+ (* x x) 1)) (fabs x))))) (log (neg (neg (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1))))))) (fma.f64 (fma.f64 (.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x) x (/.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	6464	(*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x)
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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))))
cost-diff	0	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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)
cost-diff	192	(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)))
cost-diff	0	(/.f64 (fabs.f64 x) x)
cost-diff	0	(+.f64 (/.f64 (fabs.f64 x) x) (log.f64 x))
cost-diff	0	#s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (- (log (neg (neg (+ (sqrt (+ (* x x) 1)) (fabs x))))) (log (neg (neg (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1))))))) (+.f64 (/.f64 (fabs.f64 x) x) (log.f64 x)))
cost-diff	0	(copysign.f64 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (- (log (neg (neg (+ (sqrt (+ (* x x) 1)) (fabs x))))) (log (neg (neg (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1))))))) (+.f64 (/.f64 (fabs.f64 x) x) (log.f64 x))) x)
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)
cost-diff	0	#s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))
cost-diff	0	#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)))
cost-diff	0	(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
cost-diff	64	(log.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64))))))
cost-diff	64	(fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
cost-diff	256	(neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64))))
cost-diff	17408	(+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (-.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (log.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64))))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	913
0	134	911
1	211	911
2	373	698
3	956	684
4	1966	669
5	4594	669
0	8260	662

Stop Event

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

Calls

Call 1

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

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

localize422.0ms (4.8%)

Memory

-9.8MiB live, 384.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(fma.f64 (fma.f64 (.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (.f64 x x) (log1p.f64 (fabs.f64 x)))
accuracy	0.0390625	(*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x)
accuracy	0.18549700042989153	(/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
accuracy	15.128979562615896	#s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (- (log (neg (neg (+ (sqrt (+ (* x x) 1)) (fabs x))))) (log (neg (neg (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1))))))) (fma.f64 (fma.f64 (.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (.f64 x x) (log1p.f64 (fabs.f64 x))))
accuracy	0	(fabs.f64 x)
accuracy	0.00390625	(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)))
accuracy	0.24409075042988698	(/.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy	26.506448674545027	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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))))
accuracy	0	(+.f64 (/.f64 (fabs.f64 x) x) (log.f64 x))
accuracy	0	(log.f64 x)
accuracy	0	(fabs.f64 x)
accuracy	26.822863123090823	#s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (- (log (neg (neg (+ (sqrt (+ (* x x) 1)) (fabs x))))) (log (neg (neg (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1))))))) (+.f64 (/.f64 (fabs.f64 x) x) (log.f64 x)))
accuracy	0.00390625	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)
accuracy	0.02734375	(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
accuracy	14.430443460241667	#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)))
accuracy	16.201579707616315	#s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))
accuracy	6.537582892718478	(log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
accuracy	14.120859902824286	(-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
accuracy	15.867997676633776	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
accuracy	22.174792607100407	(log.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64))))))

Samples

169.0ms	98×	1	valid
82.0ms	27×	2	valid
72.0ms	127×	0	invalid
2.0ms	4×	0	valid

Compiler

Compiled 1 477 to 110 computations (92.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 278.0ms

ival-log: 70.0ms (25.2% of total)

ival-div: 52.0ms (18.7% of total)

ival-copysign: 31.0ms (11.2% of total)

adjust: 29.0ms (10.4% of total)

ival-mult: 27.0ms (9.7% of total)

ival-add: 27.0ms (9.7% of total)

ival-log1p: 15.0ms (5.4% of total)

ival-hypot: 9.0ms (3.2% of total)

ival-sub: 8.0ms (2.9% of total)

ival-neg: 6.0ms (2.2% of total)

ival-pow2: 3.0ms (1.1% of total)

ival-fabs: 1.0ms (0.4% of total)

exact: 1.0ms (0.4% of total)

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

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

series74.0ms (0.8%)

Memory

25.8MiB live, 95.8MiB allocated

Counts

28 → 336

Calls

Call 1

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

Outputs
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (+.f64 (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (-.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (log.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))))))) (patch (+.f64 (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (-.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (log.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.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 (+.f64 (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (-.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (log.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))))))) (patch (+.f64 (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (-.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (log.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.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 (+.f64 (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (-.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (log.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))))))) (patch (+.f64 (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (-.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (log.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.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 (+.f64 (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (-.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (log.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))))))) (patch (+.f64 (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (-.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (log.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (taylor 0 x) (#s(alt (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))) (patch (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (* (pow x 2) (+ 1 (* -1/2 (fabs x))))) (+ 1 (* (fabs x) (- (fabs x) 1)))) (taylor 0 x) (#s(alt (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))) (patch (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* -1/8 (* (pow x 2) (fabs x))) (+ 1 (* -1/2 (fabs x))))) (+ 1 (* (fabs x) (- (fabs x) 1)))) (taylor 0 x) (#s(alt (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))) (patch (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* (pow x 2) (- (* 1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x)))) (+ 1 (* -1/2 (fabs x))))) (+ 1 (* (fabs x) (- (fabs x) 1)))) (taylor 0 x) (#s(alt (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))) (patch (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (fabs x) (- (fabs x) 1)) (taylor 0 x) (#s(alt (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (patch (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x))))) (taylor 0 x) (#s(alt (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (patch (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x))))))) (taylor 0 x) (#s(alt (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (patch (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x)))))))) (taylor 0 x) (#s(alt (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (patch (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (taylor 0 x) (#s(alt (log.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))))) (patch (log.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (pow x 2) (+ 1 (* -1/2 (fabs x)))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (taylor 0 x) (#s(alt (log.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))))) (patch (log.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/24 (* (pow x 2) (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1)))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))))) (taylor 0 x) (#s(alt (log.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))))) (patch (log.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* -90 (/ (* (fabs x) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* -45 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 240 (/ (pow (+ 1 (* -1/2 (fabs x))) 3) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3))))))) (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))))) (taylor 0 x) (#s(alt (log.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))))) (patch (log.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.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 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) (patch (copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) 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 (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) (patch (copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) 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 (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) (patch (copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) 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 (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) (patch (copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) (patch #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) #<representation binary64>) () ())) ())
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#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 (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) (patch #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) #<representation binary64>) () ())) ())
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#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -1/8 (pow (+ 1 (fabs x)) 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -1/8 (pow (+ 1 (fabs x)) 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -1/8 (pow (+ 1 (fabs x)) 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -1/8 (pow (+ 1 (fabs x)) 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

24.0ms

inf

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

14.0ms

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

13.0ms

-inf

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

simplify297.0ms (3.4%)

Memory

-21.5MiB live, 274.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	385	5491
1	1159	5211
2	3796	4998
0	8300	4649

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 335

Calls

Call 1

Inputs
(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 (+ 1 (* (fabs x) (- (fabs x) 1))))
(- (* -1 (* (pow x 2) (+ 1 (* -1/2 (fabs x))))) (+ 1 (* (fabs x) (- (fabs x) 1))))
(- (* (pow x 2) (- (* -1/8 (* (pow x 2) (fabs x))) (+ 1 (* -1/2 (fabs x))))) (+ 1 (* (fabs x) (- (fabs x) 1))))
(- (* (pow x 2) (- (* (pow x 2) (- (* 1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x)))) (+ 1 (* -1/2 (fabs x))))) (+ 1 (* (fabs x) (- (fabs x) 1))))
(* (fabs x) (- (fabs x) 1))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x)))))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x)))))))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x))))))))
(log (+ 1 (* (fabs x) (- (fabs x) 1))))
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (pow x 2) (+ 1 (* -1/2 (fabs x)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/24 (* (pow x 2) (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1)))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))))
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* -90 (/ (* (fabs x) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* -45 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 240 (/ (pow (+ 1 (* -1/2 (fabs x))) 3) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3))))))) (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs 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)
(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))))
(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)))))))
(/ (fabs x) x)
(/ (+ (fabs x) (* x (log x))) x)
(/ (+ (fabs x) (* x (log x))) x)
(/ (+ (fabs x) (* x (log x))) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ (fabs x) x)
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* x (fabs x))) (pow x 2))
(/ (+ 1/2 (* x (+ (fabs x) (* x (- (log x) 1/2))))) (pow x 2))
(/ (+ 1/2 (* x (+ (fabs x) (* x (- (log x) 1/2))))) (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 (pow x 2))
(/ (+ 1 (* -1 (pow x 2))) (pow x 2))
(/ (+ 1 (* -1 (pow x 2))) (pow x 2))
(/ (+ 1 (* -1 (pow x 2))) (pow x 2))
(* -1 (* x (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))))
(* -1 (* x (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))))
(* -1 (* x (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))))
(* -1 (* x (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs 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)))))))
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 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))) (* (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)))))))
(- (fabs x) 1)
(- (+ (fabs x) (* -1/2 (pow x 2))) 1)
(- (+ (fabs x) (* (pow x 2) (- (* 1/8 (pow x 2)) 1/2))) 1)
(- (+ (fabs x) (* (pow x 2) (- (* (pow x 2) (+ 1/8 (* -1/16 (pow x 2)))) 1/2))) 1)
(log (+ 1 (* (fabs x) (- (fabs x) 1))))
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (pow x 2) (+ 1 (* -1/2 (fabs x)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/24 (* (pow x 2) (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1)))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))))
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* -90 (/ (* (fabs x) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* -45 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 240 (/ (pow (+ 1 (* -1/2 (fabs x))) 3) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3))))))) (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(log x)
(log x)
(log x)
(log x)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(* -1 (log (/ 1 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)
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(- (+ (* -1 (log (/ 1 x))) (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) 1/2)
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-1
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(* -1 x)
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(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(* -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 (pow x 2))
(* (pow x 2) (- (* -1 (/ (fabs x) x)) 1))
(* (pow x 2) (- (* -1 (/ (- (+ (/ 1 x) (/ (pow (fabs x) 2) x)) (* -1 (fabs x))) x)) 1))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (fabs x) x)) (+ 1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) 1))
(pow x 2)
(* (pow x 2) (+ 1 (/ (fabs x) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2)) x))) x))))
(* -2 (log (/ -1 x)))
(+ (* -2 (log (/ -1 x))) (/ (fabs x) x))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) x))) x)))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) x)) (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 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)
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(* 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))))
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(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ (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)
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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)))
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(/ (fabs x) x)
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(- (+ (log -1) (* -1 (log (/ -1 x)))) 1/2)
(- (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x))) 1/2)
(- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (fabs x)) (* 1/2 (/ 1 x))) x)))) 1/2)
(- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (fabs x)) (* 1/2 (/ 1 x))) x)))) 1/2)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
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(* -1 (log (/ -1 x)))
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-1
(- (/ 1 (pow x 2)) 1)
(- (/ 1 (pow x 2)) 1)
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(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
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(* -1 (* (pow x 4) (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))))
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(* (pow x 4) (+ (* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))
(* (pow x 4) (+ (* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))
(* -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)))
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))) x)) 1)))
(* -2 (log (/ -1 x)))
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(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(* 1/2 (/ x (+ 1 (fabs x))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/ -1/8 (pow (+ 1 (fabs x)) 2))
(/ -1/8 (pow (+ 1 (fabs x)) 2))

Outputs
(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 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) 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 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) 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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 1/720 binary64) (+.f64 (+.f64 (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 45 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 45 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (.f64 x x) (-.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x (log1p.f64 (fabs.f64 x))))
(* -1 (+ 1 (* (fabs x) (- (fabs x) 1))))
(-.f64 #s(literal -1 binary64) (-.f64 (*.f64 x x) (fabs.f64 x)))
(- (* -1 (* (pow x 2) (+ 1 (* -1/2 (fabs x))))) (+ 1 (* (fabs x) (- (fabs x) 1))))
(-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal -1 binary64)) (.f64 x x) #s(literal -1 binary64)) (-.f64 (.f64 x x) (fabs.f64 x)))
(- (* (pow x 2) (- (* -1/8 (* (pow x 2) (fabs x))) (+ 1 (* -1/2 (fabs x))))) (+ 1 (* (fabs x) (- (fabs x) 1))))
(fma.f64 (.f64 (fma.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal -1 binary64))) x) x (-.f64 #s(literal -1 binary64) (-.f64 (.f64 x x) (fabs.f64 x))))
(- (* (pow x 2) (- (* (pow x 2) (- (* 1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x)))) (+ 1 (* -1/2 (fabs x))))) (+ 1 (* (fabs x) (- (fabs x) 1))))
(fma.f64 (fma.f64 (.f64 (fabs.f64 x) (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64))) (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal -1 binary64))) (.f64 x x) (-.f64 #s(literal -1 binary64) (-.f64 (*.f64 x x) (fabs.f64 x))))
(* (fabs x) (- (fabs x) 1))
(-.f64 (*.f64 x x) (fabs.f64 x))
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x)))))
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rewrite168.0ms (1.9%)

Memory

2.0MiB live, 187.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	663
0	132	669
1	496	467
2	3754	456
0	8325	453

Stop Event

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

Counts

28 → 567

Calls

Call 1

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

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eval289.0ms (3.3%)

Memory: 6.3MiB live, 283.5MiB allocated
Compiler: Compiled 48 485 to 4 358 computations (91% saved)

prune114.0ms (1.3%)

Memory

4.8MiB live, 129.7MiB allocated

Pruning

23 alts after pruning (13 fresh and 10 done)

	Pruned	Kept	Total
New	1 247	10	1 257
Fresh	1	3	4
Picked	3	2	5
Done	1	8	9
Total	1 252	23	1 275

Accuracy

99.8%

Counts

1 275 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.1%	(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (-.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (log.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))))) x)
	41.2%	(copysign.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) (*.f64 x x)))) (-.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (log.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))))))) x)
	6.6%	(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) x)
	23.5%	(copysign.f64 (log.f64 (/.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) x)
✓	32.3%	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
✓	9.9%	(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)
	28.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
✓	25.5%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
✓	19.5%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
✓	29.1%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
	25.9%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
	50.8%	(copysign.f64 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (- (log (neg (neg (+ (sqrt (+ (* x x) 1)) (fabs x))))) (log (neg (neg (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1))))))) (fma.f64 (fma.f64 (.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (.f64 x x) (log1p.f64 (fabs.f64 x)))) x)
✓	9.3%	(copysign.f64 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (- (log (neg (neg (+ (sqrt (+ (* x x) 1)) (fabs x))))) (log (neg (neg (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1))))))) (+.f64 (/.f64 (fabs.f64 x) x) (log.f64 x))) x)
	9.9%	(copysign.f64 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (- (log (neg (neg (+ (sqrt (+ (* x x) 1)) (fabs x))))) (log (neg (neg (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1))))))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f64 (fabs.f64 x) x))) x)
✓	51.6%	(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))) x)
✓	63.8%	(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (log1p.f64 (fabs.f64 x))) x)
	6.2%	(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
✓	6.3%	(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
	9.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64))) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64))) #s(literal 1 binary64))))) x)
	8.8%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(approx (+ (/ (fabs x) x) (log x)) (/.f64 (fabs.f64 x) x)))) x)
✓	8.9%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
	6.3%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (- (/ 1 (* x x)) 1) 1/2) (+ (/ (fabs x) x) (log x))) (/.f64 (/.f64 (fma.f64 (fabs.f64 x) x #s(literal 1/2 binary64)) x) x))) x)
	9.5%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (- (/ 1 (* x x)) 1) 1/2) (+ (/ (fabs x) x) (log x))) (-.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) #s(literal 1/2 binary64)))) x)

Compiler

Compiled 1 244 to 447 computations (64.1% saved)

regimes34.0ms (0.4%)

Memory

-0.4MiB live, 36.8MiB allocated

Counts

36 → 3

Calls

Call 1

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

Outputs

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

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

23.0ms	x
9.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
98.8%	3	`x`
98.8%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes18.0ms (0.2%)

Memory

0.2MiB live, 36.7MiB allocated

Counts

24 → 3

Calls

Call 1

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

Outputs

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

10.0ms	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
98.7%	3	`x`
98.7%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes15.0ms (0.2%)

Memory

-5.1MiB live, 32.7MiB allocated

Counts

20 → 3

Calls

Call 1

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

6.0ms	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
97.9%	3	`x`
97.9%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes11.0ms (0.1%)

Memory

27.5MiB live, 27.5MiB allocated

Counts

17 → 3

Calls

Call 1

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

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:

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
97.7%	3	`x`
97.7%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes14.0ms (0.2%)

Memory

-24.8MiB live, 22.4MiB allocated

Counts

16 → 3

Calls

Call 1

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

8.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
5.0ms	x

Results

Accuracy	Segments	Branch
97.5%	3	`x`
97.5%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes7.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

9 → 2

Calls

Call 1

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

4.0ms	x
3.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
79.4%	2	`x`
79.4%	2	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes8.0ms (0.1%)

Memory

-20.6MiB live, 17.4MiB allocated

Counts

8 → 1

Calls

Call 1

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

5.0ms	x
3.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
63.8%	1	`x`
63.8%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes6.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

3.0ms	x
2.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
14.0%	2	`x`
14.0%	2	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes5.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Accuracy

Total -3.6b remaining (-6.2%)

Threshold costs -3.6b (-6.2%)

Counts

5 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

2.0ms	x
2.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
9.9%	1	`x`
9.9%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.69013677016491e-5	4.746430270806495
0.0ms	-2.2921038382908514	-0.011204103166308732

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.69013677016491e-5	4.746430270806495
0.0ms	-2.2921038382908514	-0.011204103166308732

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.69013677016491e-5	4.746430270806495
0.0ms	-2.2921038382908514	-0.011204103166308732

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.69013677016491e-5	4.746430270806495
0.0ms	-2.2921038382908514	-0.011204103166308732

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.69013677016491e-5	4.746430270806495
0.0ms	-2.2921038382908514	-0.011204103166308732

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.69013677016491e-5	4.746430270806495

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch2.0ms (0%)

Memory

-37.2MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
2.0ms	8.69013677016491e-5	4.746430270806495

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify33.0ms (0.4%)

Memory

-0.5MiB live, 81.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	725
1	115	725
2	126	725
3	132	725
4	136	725
5	137	725

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 -2 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) 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 7378697629483821/73786976294838206464 binary64)) (copysign.f64 #s(approx (+ (log (+ 1 (+ ( x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (- (log (neg (neg (+ (sqrt (+ (* x x) 1)) (fabs x))))) (log (neg (neg (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1))))))) (fma.f64 (fma.f64 (.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x) x (/.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 (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 -2 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) 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 7378697629483821/73786976294838206464 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 -2 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) 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 7378697629483821/73786976294838206464 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 -2 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 7378697629483821/73786976294838206464 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 -2 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 7378697629483821/73786976294838206464 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 7378697629483821/73786976294838206464 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 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 7378697629483821/73786976294838206464 binary64)) (copysign.f64 #s(approx (+ (log (+ 1 (+ ( x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (- (log (neg (neg (+ (sqrt (+ (* x x) 1)) (fabs x))))) (log (neg (neg (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1))))))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f64 (fabs.f64 x) x))) x) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x))
(copysign.f64 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (- (log (neg (neg (+ (sqrt (+ (* x x) 1)) (fabs x))))) (log (neg (neg (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1))))))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f64 (fabs.f64 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 -2 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) 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 7378697629483821/73786976294838206464 binary64)) (copysign.f64 #s(approx (+ (log (+ 1 (+ ( x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (- (log (neg (neg (+ (sqrt (+ (* x x) 1)) (fabs x))))) (log (neg (neg (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1))))))) (fma.f64 (fma.f64 (.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x) x (/.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 (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 -2 binary64)) (copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ ( x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (fabs.f64 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 7378697629483821/73786976294838206464 binary64)) (copysign.f64 #s(approx (+ (log (+ 1 (+ ( x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (- (log (neg (neg (+ (sqrt (+ (* x x) 1)) (fabs x))))) (log (neg (neg (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1))))))) (fma.f64 (fma.f64 (.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 x 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 -2 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) 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 7378697629483821/73786976294838206464 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 -2 binary64)) (copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ ( x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (fabs.f64 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 7378697629483821/73786976294838206464 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 -2 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) 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 7378697629483821/73786976294838206464 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)))
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(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
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(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 x))) x) #s(literal 7378697629483821/73786976294838206464 binary64)) (copysign.f64 #s(approx (+ (log (+ 1 (+ ( x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (- (log (neg (neg (+ (sqrt (+ (* x x) 1)) (fabs x))))) (log (neg (neg (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1))))))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f64 (fabs.f64 x) x))) x) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x))
(copysign.f64 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (- (log (neg (neg (+ (sqrt (+ (* x x) 1)) (fabs x))))) (log (neg (neg (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1))))))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f64 (fabs.f64 x) x))) x)

soundness1.5s (17.3%)

Memory

41.1MiB live, 951.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	331
0	65	395
1	212	267
2	1705	267
0	8580	267
0	169	782
1	490	754
2	1513	741
3	5415	691
0	8408	635
0	77	663
0	132	669
1	496	467
2	3754	456
0	8325	453
0	386	5003
1	1168	4756
2	3800	4564
0	8417	4168
0	9	44
0	16	44
1	51	44
2	324	44
3	3419	44
0	8352	39
0	385	5491
1	1159	5211
2	3796	4998
0	8300	4649

Stop Event

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

Compiler

Compiled 688 to 230 computations (66.6% saved)

preprocess139.0ms (1.6%)

Memory: -16.9MiB live, 182.4MiB allocated
Compiler: Compiled 866 to 178 computations (79.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample632.0ms (7.2%)

explain414.0ms (4.7%)

preprocess49.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize131.0ms (1.5%)

series7.0ms (0.1%)

simplify468.0ms (5.3%)

rewrite223.0ms (2.5%)

eval112.0ms (1.3%)

prune23.0ms (0.3%)

simplify168.0ms (1.9%)

localize205.0ms (2.3%)

series156.0ms (1.8%)

simplify186.0ms (2.1%)

rewrite231.0ms (2.6%)

eval573.0ms (6.5%)

prune85.0ms (1%)

simplify288.0ms (3.3%)

localize501.0ms (5.7%)

series98.0ms (1.1%)

simplify281.0ms (3.2%)

rewrite254.0ms (2.9%)

eval231.0ms (2.6%)

prune139.0ms (1.6%)

simplify133.0ms (1.5%)

localize422.0ms (4.8%)

series74.0ms (0.8%)

simplify297.0ms (3.4%)

rewrite168.0ms (1.9%)

eval289.0ms (3.3%)

prune114.0ms (1.3%)

regimes34.0ms (0.4%)

regimes18.0ms (0.2%)

regimes15.0ms (0.2%)

regimes11.0ms (0.1%)

regimes14.0ms (0.2%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch2.0ms (0%)

simplify33.0ms (0.4%)

soundness1.5s (17.3%)

preprocess139.0ms (1.6%)

end0.0ms (0%)

Profiling