Metrics for Rust f64::asinh

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample482.0ms (4.5%)

Memory

-22.7MiB live, 965.9MiB allocated

Samples

248.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-asinh: 100.0ms (92.4% of total)

ival-true: 6.0ms (5.5% of total)

ival-assert: 3.0ms (2.8% of total)

Bogosity

explain260.0ms (2.4%)

Memory

-13.3MiB live, 439.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
138	-	1	(-0.02921049588556956)	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
60	-	0	-	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(fabs.f64 x)`
0	-	0	-	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`
0	-	0	-	`(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
0	-	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	137	1
`sqrt.f64`	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	60	0
↳	`(*.f64 x x)`	overflow	60
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	60

Confusion

	Predicted +	Predicted -
+	197	1
-	0	58

Precision

1.0

Recall

0.9949494949494949

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	197	1	0
-	0	0	58

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	59
1	197

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

69.0ms	122×	2	valid
31.0ms	140×	1	valid
26.0ms	250×	0	valid

Compiler

Compiled 114 to 31 computations (72.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-log: 50.0ms (48.7% of total)

ival-hypot: 21.0ms (20.4% of total)

ival-copysign: 9.0ms (8.8% of total)

adjust: 7.0ms (6.8% of total)

ival-add: 7.0ms (6.8% of total)

ival-mult: 5.0ms (4.9% of total)

ival-fabs: 3.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

preprocess12.0ms (0.1%)

Memory

28.0MiB live, 28.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.3%	(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

7.6MiB live, 7.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize86.0ms (0.8%)

Memory

-2.1MiB live, 117.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 x)
accuracy	0.01171875	(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
accuracy	14.028726914479659	(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
accuracy	31.336028235223335	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Samples

31.0ms	61×	2	valid
15.0ms	70×	1	valid
11.0ms	125×	0	valid

Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-log: 20.0ms (43.1% of total)

ival-hypot: 11.0ms (23.7% of total)

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

adjust: 4.0ms (8.6% of total)

ival-add: 3.0ms (6.5% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series29.0ms (0.3%)

Memory

-24.6MiB live, 14.3MiB 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
24.0ms	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))
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))

Time

Variable

Point

Expression

24.0ms

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))

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))

simplify261.0ms (2.4%)

Memory

2.2MiB live, 312.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 70

Calls

Call 1

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

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

rewrite235.0ms (2.2%)

Memory

0.1MiB live, 245.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 279

Calls

Call 1

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

Outputs
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eval103.0ms (1%)

Memory: 35.7MiB live, 110.3MiB allocated
Compiler: Compiled 8 272 to 1 648 computations (80.1% saved)

prune80.0ms (0.7%)

Memory

0.0MiB live, 77.8MiB allocated

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	328	21	349
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	329	21	350

Accuracy

100.0%

Counts

350 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.4%	(copysign.f64 (-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
	6.9%	(copysign.f64 (-.f64 (log.f64 (-.f64 (.f64 (.f64 x 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)))) (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (pow.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)))) x)
	61.1%	(copysign.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 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)))))))) x)
▶	75.7%	(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)
	28.3%	(copysign.f64 (neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)))) x)
	7.6%	(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)
	28.3%	(copysign.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #s(literal -1 binary64)))) x)
	28.3%	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
	27.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) x)
▶	9.8%	(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)
	24.1%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
	25.2%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
	18.5%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
	5.3%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)))) x)
	24.5%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
	25.7%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
	55.2%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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))))) x)
	55.8%	(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)
▶	56.1%	(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)
	66.9%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
▶	8.8%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)

Compiler

Compiled 828 to 492 computations (40.6% saved)

simplify270.0ms (2.5%)

Memory

-36.1MiB live, 204.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	64	(-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
cost-diff	128	(neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
cost-diff	896	(fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))
cost-diff	6400	(log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64))))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))))
cost-diff	0	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x)
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	(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))))))

Rules

18 574×	`lower-fma.f32`
18 564×	`lower-fma.f64`
3 456×	`lower-*.f32`
3 450×	`lower-*.f64`
2 368×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	504
0	84	497
1	121	497
2	178	490
3	273	467
4	467	463
5	840	463
6	1827	463
7	4836	463
0	8387	458

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

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

localize262.0ms (2.5%)

Memory

24.7MiB live, 389.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	7.7665244121041015	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy	13.834601832783026	(-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
accuracy	14.026231971593463	(fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))
accuracy	15.112723305478116	(log.f64 (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
accuracy	0	(fabs.f64 x)
accuracy	0.00390625	(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))
accuracy	0.01171875	(/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
accuracy	14.50776922349829	#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))))
accuracy	0	(fabs.f64 x)
accuracy	0.01171875	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
accuracy	14.27890297284275	#s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy	15.155340608124423	(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	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
accuracy	0	(log.f64 x)
accuracy	26.971314268964885	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))
accuracy	7.793794049073414	(/.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	7.998202521605367	(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	13.834601832783026	(-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
accuracy	15.125696433552209	(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)))))

Samples

129.0ms	98×	1	valid
48.0ms	29×	2	valid
46.0ms	128×	0	invalid
0.0ms	1×	0	valid

Compiler

Compiled 511 to 39 computations (92.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-log: 82.0ms (49.2% of total)

ival-add: 17.0ms (10.2% of total)

ival-mult: 15.0ms (9% of total)

adjust: 14.0ms (8.4% of total)

ival-log1p: 9.0ms (5.4% of total)

ival-hypot: 8.0ms (4.8% of total)

ival-copysign: 8.0ms (4.8% of total)

ival-sub: 4.0ms (2.4% of total)

ival-div: 4.0ms (2.4% of total)

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

ival-fabs: 1.0ms (0.6% of total)

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

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

exact: 0.0ms (0% of total)

series263.0ms (2.5%)

Memory

12.9MiB live, 409.4MiB allocated

Counts

27 → 324

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

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>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

182.0ms

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

38.0ms

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

28.0ms

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

simplify337.0ms (3.2%)

Memory

-28.6MiB live, 247.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 966×	`lower-fma.f64`
11 966×	`lower-fma.f32`
6 288×	`lower-*.f64`
6 288×	`lower-*.f32`
6 112×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	752	8487
1	2433	7986
0	8347	7266

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 319

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)))
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x))))))
(+ 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)))))))))
(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 (+ (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 (+ (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 (+ (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)
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))))
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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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(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
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(log x)
(log x)
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(+ (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))
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(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
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(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(log (+ 1 (fabs x)))
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(+ (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)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
0
0
0
0
1
1
1
1
(- 1 (fabs x))
(- (+ 1 (* 1/2 (pow x 2))) (fabs x))
(- (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (fabs x))
(- (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (fabs x))
(* -1 (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))))
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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)
(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)
(+ (log (/ -1 x)) (* -2 (log (/ -1 x))))
(+ (log (/ -1 x)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (fabs x) x))))
(+ (log (/ -1 x)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* 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)))) (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))))) x))) x))))
(+ (log (/ -1 x)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -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)))))))) (* 1/6 (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))))) 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)))) (* 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)
(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)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
0
0
0
0
1
1
1
1
(* -1 x)
(* -1 (* x (+ 1 (/ (fabs x) x))))
(* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x)))))
(log (/ -1 x))
(- (* -1 (/ (fabs x) x)) (* -1 (log (/ -1 x))))
(- (* -1 (/ (- (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (* -1 (log (/ -1 x))))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (* -1 (log (/ -1 x))))
(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
(* -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)))
(+ (* -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)))
(/ -1 x)
(* -1 (/ (+ 1 (* -1 (/ (- (fabs x) (* -1 (fabs x))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ (fabs x) (+ (* -1 (/ (* (fabs x) (- (fabs x) (* -1 (fabs x)))) x)) (+ (* 1/2 (/ 1 x)) (/ (pow (fabs x) 2) x)))) (* -1 (fabs x))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ (fabs x) (* -1 (/ (- (+ (* -1/2 (/ (fabs x) x)) (+ (/ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) x) (/ (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x)))) x))) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) x))) (* -1 (fabs x))) 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 (fabs x)))
(/ x (+ 1 (fabs x)))
(/ x (+ 1 (fabs x)))
(/ x (+ 1 (fabs x)))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs 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)))))

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

rewrite278.0ms (2.6%)

Memory

10.5MiB live, 240.9MiB allocated

Rules

4 316×	`lower-/.f32`
4 312×	`lower-/.f64`
3 976×	`lower-fma.f32`
3 964×	`lower-fma.f64`
3 376×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	407
0	82	406
1	294	342
2	2454	342
0	8324	338

Stop Event

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

Counts

27 → 784

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

Outputs
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eval401.0ms (3.8%)

Memory: 44.5MiB live, 505.3MiB allocated
Compiler: Compiled 69 360 to 6 433 computations (90.7% saved)

prune110.0ms (1%)

Memory

-3.6MiB live, 152.8MiB allocated

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	1 456	13	1 469
Fresh	6	10	16
Picked	0	5	5
Done	0	0	0
Total	1 462	28	1 490

Accuracy

100.0%

Counts

1 490 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	7.4%	(copysign.f64 (-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
	6.8%	(copysign.f64 (-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 #s(approx (neg (- (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
▶	75.8%	(copysign.f64 (-.f64 (log.f64 (.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))) #s(literal 1 binary64))) (-.f64 (log1p.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x))) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) x)
	54.3%	(copysign.f64 (-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x)) #s(literal 2 binary64))) (/.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 (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (*.f64 x x))))) x)
	12.6%	(copysign.f64 (-.f64 (log.f64 (.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 (.f64 (fma.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x)) (-.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))))) x)
	8.3%	(copysign.f64 (-.f64 #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)) (log.f64 (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
	75.7%	(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 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)
	55.7%	(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 (log1p.f64 (.f64 x (fma.f64 #s(literal -1 binary64) x x))) (log.f64 (*.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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))))) x)
✓	75.7%	(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)
	55.3%	(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.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)
	7.0%	(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))) x)
	28.3%	(copysign.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #s(literal -1 binary64)))) x)
	28.3%	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
▶	27.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) x)
✓	9.8%	(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)
	24.1%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
	25.2%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
	18.5%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
	24.5%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
	25.7%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
▶	54.1%	(copysign.f64 #s(approx (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) (-.f64 (.f64 (fma.f64 (neg.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))))) (.f64 x x) (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x)) (log1p.f64 (neg.f64 (fabs.f64 x))))) x)
▶	52.8%	(copysign.f64 #s(approx (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) (neg.f64 (log1p.f64 (neg.f64 (fabs.f64 x))))) x)
	55.9%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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)
	55.2%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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))))) x)
✓	56.1%	(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)
	66.9%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
✓	8.8%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
▶	6.4%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)

Compiler

Compiled 1 413 to 705 computations (50.1% saved)

simplify257.0ms (2.4%)

Memory

-33.1MiB live, 141.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(copysign.f64 #s(approx (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) (-.f64 (.f64 (fma.f64 (neg.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))))) (.f64 x x) (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x)) (log1p.f64 (neg.f64 (fabs.f64 x))))) x)
cost-diff	128	(neg.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)))))
cost-diff	320	(fma.f64 (neg.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))))) (*.f64 x x) (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))
cost-diff	6144	(+.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))))
cost-diff	0	(fabs.f64 x)
cost-diff	0	(+.f64 (fabs.f64 x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
cost-diff	0	(log.f64 (+.f64 (fabs.f64 x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
cost-diff	0	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) x)
cost-diff	0	(log1p.f64 (neg.f64 (fabs.f64 x)))
cost-diff	0	(neg.f64 (log1p.f64 (neg.f64 (fabs.f64 x))))
cost-diff	0	#s(approx (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) (neg.f64 (log1p.f64 (neg.f64 (fabs.f64 x)))))
cost-diff	0	(copysign.f64 #s(approx (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) (neg.f64 (log1p.f64 (neg.f64 (fabs.f64 x))))) x)
cost-diff	0	(.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
cost-diff	0	#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))))
cost-diff	0	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
cost-diff	64	(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	(log.f64 (*.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))) #s(literal 1 binary64)))
cost-diff	320	(*.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))) #s(literal 1 binary64))
cost-diff	17408	(-.f64 (log.f64 (.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))) #s(literal 1 binary64))) (-.f64 (log1p.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x))) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))))

Rules

10 392×	`lower-fma.f32`
10 384×	`lower-fma.f64`
3 348×	`lower-*.f32`
3 340×	`lower-*.f64`
1 782×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	788
0	116	809
1	191	709
2	353	695
3	784	663
4	2153	654
5	5707	654
0	8229	638

Stop Event

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

Calls

Call 1

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

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

localize498.0ms (4.7%)

Memory

33.7MiB live, 754.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))
accuracy	0.01171875	(pow.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))
accuracy	0.0234375	(.f64 (fma.f64 (neg.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))))) (.f64 x x) (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x))
accuracy	0.6154232677848345	#s(approx (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) (-.f64 (.f64 (fma.f64 (neg.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))))) (.f64 x x) (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x)) (log1p.f64 (neg.f64 (fabs.f64 x)))))
accuracy	0.00390625	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy	0.0078125	(+.f64 (fabs.f64 x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
accuracy	0.01171875	(/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
accuracy	31.332121985223335	(log.f64 (+.f64 (fabs.f64 x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
accuracy	0	(neg.f64 (fabs.f64 x))
accuracy	0	(log1p.f64 (neg.f64 (fabs.f64 x)))
accuracy	0	(fabs.f64 x)
accuracy	1.4725071515947117	#s(approx (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) (neg.f64 (log1p.f64 (neg.f64 (fabs.f64 x)))))
accuracy	0	(fabs.f64 x)
accuracy	0.0234375	(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
accuracy	0.8799456316794246	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))))
accuracy	32.61308743363297	#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))
accuracy	0.01171875	(-.f64 (log.f64 (.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))) #s(literal 1 binary64))) (-.f64 (log1p.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x))) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))))
accuracy	0.01171875	(-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
accuracy	31.269257406054788	(log.f64 (*.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))) #s(literal 1 binary64)))
accuracy	31.332121985223335	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))

Samples

211.0ms	61×	2	valid
177.0ms	70×	1	valid
54.0ms	115×	0	invalid
5.0ms	10×	0	valid

Compiler

Compiled 711 to 62 computations (91.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 403.0ms

ival-log: 148.0ms (36.7% of total)

adjust: 65.0ms (16.1% of total)

ival-hypot: 45.0ms (11.2% of total)

ival-copysign: 28.0ms (6.9% of total)

ival-log1p: 24.0ms (6% of total)

ival-add: 23.0ms (5.7% of total)

ival-sub: 21.0ms (5.2% of total)

ival-mult: 18.0ms (4.5% of total)

ival-div: 14.0ms (3.5% of total)

ival-neg: 10.0ms (2.5% of total)

ival-pow2: 4.0ms (1% of total)

ival-fabs: 2.0ms (0.5% of total)

exact: 1.0ms (0.2% of total)

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

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

series264.0ms (2.5%)

Memory

-17.5MiB live, 255.2MiB allocated

Counts

30 → 360

Calls

Call 1

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

3 calls:

Time

Variable

Point

Expression

128.0ms

inf

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

64.0ms

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

45.0ms

-inf

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

simplify469.0ms (4.4%)

Memory

-137.4MiB live, 256.8MiB allocated

Algorithm

1×	egg-herbie

Rules

18 244×	`lower-fma.f64`
18 244×	`lower-fma.f32`
5 638×	`lower-+.f64`
5 638×	`lower-+.f32`
5 084×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	433	5736
1	1323	5316
2	4297	5167
0	8274	4818

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 356

Calls

Call 1

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

rewrite197.0ms (1.9%)

Memory

-3.9MiB live, 181.9MiB allocated

Rules

4 498×	`lower-fma.f32`
4 490×	`lower-fma.f64`
3 632×	`lower-*.f32`
3 624×	`lower-*.f64`
2 670×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	573
0	114	571
1	462	532
2	3991	499
0	8440	477

Stop Event

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

Counts

30 → 714

Calls

Call 1

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

Outputs
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eval430.0ms (4%)

Memory: 12.2MiB live, 482.1MiB allocated
Compiler: Compiled 61 637 to 5 888 computations (90.4% saved)

prune194.0ms (1.8%)

Memory

2.9MiB live, 212.1MiB allocated

Pruning

35 alts after pruning (27 fresh and 8 done)

	Pruned	Kept	Total
New	1 488	15	1 503
Fresh	6	12	18
Picked	2	3	5
Done	0	5	5
Total	1 496	35	1 531

Accuracy

100.0%

Counts

1 531 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.0%	(copysign.f64 (-.f64 (+.f64 (log1p.f64 (pow.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x)) #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x)) (-.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (-.f64 (log1p.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x))) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) x)
▶	75.8%	(copysign.f64 (-.f64 (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)))) (-.f64 (log1p.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (*.f64 x x))) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) x)
✓	7.4%	(copysign.f64 (-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
▶	6.8%	(copysign.f64 (-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 #s(approx (neg (- (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
	54.3%	(copysign.f64 (-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x)) #s(literal 2 binary64))) (/.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 (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (*.f64 x x))))) x)
	12.6%	(copysign.f64 (-.f64 (log.f64 (.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 (.f64 (fma.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x)) (-.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))))) x)
	75.7%	(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 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)
	55.7%	(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 (log1p.f64 (.f64 x (fma.f64 #s(literal -1 binary64) x x))) (log.f64 (*.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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))))) x)
✓	75.7%	(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)
	55.3%	(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.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)
	7.6%	(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))))) x)
	28.3%	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
✓	27.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) x)
	13.3%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))) x)
	18.5%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (/ (+ (* x x) 1) (sqrt (+ (* x x) 1))) #s(literal 1 binary64)))) x)
✓	9.8%	(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)
▶	24.1%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
	25.2%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
	24.5%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
	25.7%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
	54.1%	(copysign.f64 #s(approx (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) (-.f64 (.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 x x) (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 x x)) (log1p.f64 (neg.f64 (fabs.f64 x))))) x)
✓	52.8%	(copysign.f64 #s(approx (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) (neg.f64 (log1p.f64 (neg.f64 (fabs.f64 x))))) x)
	4.4%	(copysign.f64 #s(approx (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) (neg.f64 (log.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
▶	66.9%	(copysign.f64 #s(approx (- (log (* (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1)) 1)) (- (log (+ 1 (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (* x x)))) (log (+ (sqrt (+ (* x x) 1)) (fabs x))))) (log1p.f64 (fabs.f64 x))) x)
	55.2%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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))))) x)
✓	56.1%	(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)
✓	8.8%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
	6.5%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) x)))) x)
	6.4%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))))) x)
	6.5%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 #s(literal 1/2 binary64) x)))) x)
	6.4%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 x x)))) x)
▶	6.5%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
✓	6.4%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
	5.6%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 x x) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x)
	8.3%	#s(approx (copysign (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) x) (copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x))

Compiler

Compiled 1 663 to 836 computations (49.7% saved)

simplify222.0ms (2.1%)

Memory

21.3MiB live, 212.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(copysign.f64 (-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 #s(approx (neg (- (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
cost-diff	64	(-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 #s(approx (neg (- (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))))
cost-diff	896	(fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))
cost-diff	6400	(log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64))))
cost-diff	0	(fabs.f64 x)
cost-diff	0	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
cost-diff	0	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
cost-diff	0	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
cost-diff	0	(fabs.f64 x)
cost-diff	0	(log1p.f64 (fabs.f64 x))
cost-diff	0	#s(approx (- (log (* (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1)) 1)) (- (log (+ 1 (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (* x x)))) (log (+ (sqrt (+ (* x x) 1)) (fabs x))))) (log1p.f64 (fabs.f64 x)))
cost-diff	0	(copysign.f64 #s(approx (- (log (* (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1)) 1)) (- (log (+ 1 (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (* x x)))) (log (+ (sqrt (+ (* x x) 1)) (fabs x))))) (log1p.f64 (fabs.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 x) (/ x (+ (fabs x) 1))) (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 (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)))
cost-diff	0	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
cost-diff	64	(fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (*.f64 x x))
cost-diff	64	(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	(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))))
cost-diff	17408	(-.f64 (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)))) (-.f64 (log1p.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (*.f64 x x))) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))))

Rules

20 134×	`lower-fma.f32`
20 122×	`lower-fma.f64`
3 828×	`lower-*.f32`
3 820×	`lower-*.f64`
2 750×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	742
0	130	758
1	199	608
2	319	591
3	587	568
4	1454	564
5	4637	564
6	7716	564
0	8061	560

Stop Event

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

Calls

Call 1

Inputs
(copysign.f64 (-.f64 (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)))) (-.f64 (log1p.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (*.f64 x x))) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) x)
(-.f64 (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)))) (-.f64 (log1p.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (*.f64 x x))) (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))))
(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))))
(fabs.f64 x)
x
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (log1p.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (*.f64 x x))) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))
(log1p.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (*.f64 x x)))
(fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (*.f64 x x))
(*.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))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (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 (* (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1)) 1)) (- (log (+ 1 (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (* x x)))) (log (+ (sqrt (+ (* x x) 1)) (fabs x))))) (log1p.f64 (fabs.f64 x))) x)
#s(approx (- (log (* (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1)) 1)) (- (log (+ 1 (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (* x x)))) (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)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(fabs.f64 x)
x
#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(copysign.f64 (-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 #s(approx (neg (- (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
(-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 #s(approx (neg (- (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))
(neg.f64 x)
x
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(log.f64 #s(approx (neg (- (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))
#s(approx (neg (- (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.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)
(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))
(fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64))
#s(literal 1/16 binary64)
(*.f64 x x)
#s(literal -1/8 binary64)
#s(literal 1/2 binary64)
(-.f64 #s(literal 1 binary64) (fabs.f64 x))
(fabs.f64 x)

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

localize497.0ms (4.7%)

Memory

-13.8MiB live, 703.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(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))
accuracy	27.32045419939512	(fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))
accuracy	28.39587182056476	#s(approx (neg (- (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))
accuracy	31.239648313770576	(log.f64 #s(approx (neg (- (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))
accuracy	0.0078125	(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
accuracy	0.01171875	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
accuracy	31.336028235223335	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
accuracy	48.76466179907489	#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
accuracy	0	(copysign.f64 #s(approx (- (log (* (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1)) 1)) (- (log (+ 1 (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (* x x)))) (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	21.171306687912296	#s(approx (- (log (* (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1)) 1)) (- (log (+ 1 (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (* x x)))) (log (+ (sqrt (+ (* x x) 1)) (fabs x))))) (log1p.f64 (fabs.f64 x)))
accuracy	0.0234375	(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
accuracy	0.08203125	(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
accuracy	28.079393560165975	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)))
accuracy	33.284005148400254	#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))
accuracy	14.535772485400685	(log1p.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (*.f64 x x)))
accuracy	26.84346483328397	(-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
accuracy	31.336028235223335	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
accuracy	45.797217391455476	(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))))

Samples

227.0ms	61×	2	valid
213.0ms	194×	1	valid
1.0ms	1×	0	valid

Compiler

Compiled 654 to 57 computations (91.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 384.0ms

ival-log: 187.0ms (48.7% of total)

ival-add: 50.0ms (13% of total)

adjust: 43.0ms (11.2% of total)

ival-mult: 32.0ms (8.3% of total)

ival-copysign: 20.0ms (5.2% of total)

ival-sub: 16.0ms (4.2% of total)

ival-hypot: 12.0ms (3.1% of total)

ival-div: 8.0ms (2.1% of total)

ival-log1p: 8.0ms (2.1% of total)

ival-neg: 3.0ms (0.8% of total)

ival-fabs: 2.0ms (0.5% of total)

exact: 1.0ms (0.3% of total)

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

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

series109.0ms (1%)

Memory

-17.7MiB live, 145.3MiB allocated

Counts

29 → 348

Calls

Call 1

Inputs
#s(alt (-.f64 (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)))) (-.f64 (log1p.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x))) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) (patch (-.f64 (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)))) (-.f64 (log1p.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x))) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) #<representation binary64>) () ())
#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())
#s(alt (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 (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 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x)) (patch (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x)) #<representation binary64>) () ())
#s(alt (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) (patch (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)) (patch #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (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 (* (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1)) 1)) (- (log (+ 1 (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (* x x)))) (log (+ (sqrt (+ (* x x) 1)) (fabs x))))) (log1p.f64 (fabs.f64 x))) x) (patch (copysign.f64 #s(approx (- (log (* (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1)) 1)) (- (log (+ 1 (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (* x x)))) (log (+ (sqrt (+ (* x x) 1)) (fabs x))))) (log1p.f64 (fabs.f64 x))) x) #<representation binary64>) () ())
#s(alt #s(approx (- (log (* (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1)) 1)) (- (log (+ 1 (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (* x x)))) (log (+ (sqrt (+ (* x x) 1)) (fabs x))))) (log1p.f64 (fabs.f64 x))) (patch #s(approx (- (log (* (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1)) 1)) (- (log (+ 1 (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (* x x)))) (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)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (patch (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) #<representation binary64>) () ())
#s(alt (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) (patch (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) #<representation binary64>) () ())
#s(alt (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) (patch (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) #<representation binary64>) () ())
#s(alt (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (patch (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64))) (patch (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 #s(approx (neg (- (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (patch (-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 #s(approx (neg (- (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) #<representation binary64>) () ())
#s(alt (copysign.f64 (-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 #s(approx (neg (- (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x) (patch (copysign.f64 (-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 #s(approx (neg (- (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) 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 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x))) (patch (log1p.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x))) #<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 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (patch #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal -1/2 binary64) x) x) (patch (-.f64 (/.f64 #s(literal -1/2 binary64) x) x) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (neg (- (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) (patch (log.f64 #s(approx (neg (- (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) #<representation binary64>) () ())
#s(alt #s(approx (neg (- (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (patch #s(approx (neg (- (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())

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

Calls

3 calls:

Time

Variable

Point

Expression

54.0ms

((- (log (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1))) (- (log (+ 1 (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (* x x)))) (log (+ (sqrt (+ (* x x) 1)) (fabs x))))) (log (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1))) (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1)) (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (* x x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (copysign (- (log (* (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1)) 1)) (- (log (+ 1 (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (* x x)))) (log (+ (sqrt (+ (* x x) 1)) (fabs x))))) x) (- (log (* (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1)) 1)) (- (log (+ 1 (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (* 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))) (log (+ (* (neg x) x) (+ (* x x) 1))) (+ (* (neg x) x) (+ (* x x) 1)) (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) (copysign (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) x) (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (- (fabs x) (sqrt (+ (* x x) 1))) (log (+ 1 (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (* x x)))) (* (/ 1/2 (+ (fabs x) 1)) x) (/ 1/2 (+ (fabs x) 1)) (sqrt (+ (* x x) 1)) (- (/ -1/2 x) x) (log (neg (- (fabs x) (sqrt (+ (* x x) 1))))) (neg (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (+ (* 1/16 (* x x)) -1/8) (* x x)) 1/2))

20.0ms

inf

((- (log (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1))) (- (log (+ 1 (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (* x x)))) (log (+ (sqrt (+ (* x x) 1)) (fabs x))))) (log (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1))) (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1)) (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (* x x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (copysign (- (log (* (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1)) 1)) (- (log (+ 1 (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (* x x)))) (log (+ (sqrt (+ (* x x) 1)) (fabs x))))) x) (- (log (* (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1)) 1)) (- (log (+ 1 (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (* 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))) (log (+ (* (neg x) x) (+ (* x x) 1))) (+ (* (neg x) x) (+ (* x x) 1)) (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) (copysign (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) x) (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (- (fabs x) (sqrt (+ (* x x) 1))) (log (+ 1 (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (* x x)))) (* (/ 1/2 (+ (fabs x) 1)) x) (/ 1/2 (+ (fabs x) 1)) (sqrt (+ (* x x) 1)) (- (/ -1/2 x) x) (log (neg (- (fabs x) (sqrt (+ (* x x) 1))))) (neg (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (+ (* 1/16 (* x x)) -1/8) (* x x)) 1/2))

16.0ms

-inf

((- (log (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1))) (- (log (+ 1 (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (* x x)))) (log (+ (sqrt (+ (* x x) 1)) (fabs x))))) (log (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1))) (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1)) (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (* x x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (copysign (- (log (* (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1)) 1)) (- (log (+ 1 (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (* x x)))) (log (+ (sqrt (+ (* x x) 1)) (fabs x))))) x) (- (log (* (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1)) 1)) (- (log (+ 1 (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (* 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))) (log (+ (* (neg x) x) (+ (* x x) 1))) (+ (* (neg x) x) (+ (* x x) 1)) (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) (copysign (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) x) (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (- (fabs x) (sqrt (+ (* x x) 1))) (log (+ 1 (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (* x x)))) (* (/ 1/2 (+ (fabs x) 1)) x) (/ 1/2 (+ (fabs x) 1)) (sqrt (+ (* x x) 1)) (- (/ -1/2 x) x) (log (neg (- (fabs x) (sqrt (+ (* x x) 1))))) (neg (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (+ (* 1/16 (* x x)) -1/8) (* x x)) 1/2))

simplify229.0ms (2.1%)

Memory

21.3MiB live, 223.5MiB allocated

Algorithm

1×	egg-herbie

Rules

14 030×	`lower-fma.f64`
14 030×	`lower-fma.f32`
5 592×	`lower-*.f64`
5 592×	`lower-*.f32`
4 708×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	496	5496
1	1523	5128
2	5026	4906
0	8457	4518

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 344

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)))))))
(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 (* (fabs x) (- (fabs x) 1)))
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x))))))
(+ 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)))))))))
(* (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))) (* 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)))))))
(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)
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(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 x)
(* -1 (* x (+ 1 (/ (fabs x) x))))
(* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x)))))
(* 1/16 (pow x 4))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow 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 (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)))
(log (+ 1 (* (fabs x) (- (fabs x) 1))))
(log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x)))
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (pow x 2) (+ 1 (* -1/2 (fabs x)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x) (log1p.f64 (-.f64 (.f64 x x) (fabs.f64 x))))
(+ (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))))))))
(fma.f64 (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) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (fabs.f64 x) (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))) (.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) x) x (/.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) (log1p.f64 (-.f64 (.f64 x x) (fabs.f64 x))))
(+ (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))))))))
(fma.f64 (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) (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) (fabs.f64 x)) (pow.f64 (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -90 binary64) (fma.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 240 binary64) (/.f64 (.f64 #s(literal -45 binary64) (fabs.f64 x)) (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (fabs.f64 x) (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))) (.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (.f64 x x) (/.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) (log1p.f64 (-.f64 (.f64 x x) (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 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (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)))
(* (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)))))
(fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1 binary64)) x) x (-.f64 (.f64 x x) (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 (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) (-.f64 (*.f64 x x) (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 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x) (-.f64 (*.f64 x x) (fabs.f64 x)))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 (*.f64 (/.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)))
(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))) (* 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))) (* 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)))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 (*.f64 (/.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)))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 (*.f64 (/.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))
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(-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (.f64 (fabs.f64 x) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 3 binary64))) x) #s(literal -1/6 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 (/ (fabs x) x))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x)) x)
(* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))))
(neg.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (fabs.f64 x) x)) x x))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x)))))
(neg.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 x) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)) x) x x))
(* 1/16 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))

rewrite318.0ms (3%)

Memory

19.9MiB live, 245.0MiB allocated

Rules

5 388×	`lower-fma.f32`
5 374×	`lower-fma.f64`
5 198×	`lower-*.f32`
5 190×	`lower-*.f64`
2 990×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	574
0	128	564
1	451	474
2	3333	474
0	8826	466

Stop Event

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

Counts

29 → 703

Calls

Call 1

Inputs
(-.f64 (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)))) (-.f64 (log1p.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (*.f64 x x))) (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))))
(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) (*.f64 x x))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)))
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (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 (* (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1)) 1)) (- (log (+ 1 (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (* x x)))) (log (+ (sqrt (+ (* x x) 1)) (fabs x))))) (log1p.f64 (fabs.f64 x))) x)
#s(approx (- (log (* (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1)) 1)) (- (log (+ 1 (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (* x x)))) (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)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))
(-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 #s(approx (neg (- (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(copysign.f64 (-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 #s(approx (neg (- (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) 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 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (*.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 (fabs.f64 x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(log.f64 #s(approx (neg (- (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))
#s(approx (neg (- (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))
(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))

Outputs
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eval487.0ms (4.6%)

Memory: 7.2MiB live, 469.1MiB allocated
Compiler: Compiled 57 223 to 5 140 computations (91% saved)

prune187.0ms (1.8%)

Memory

-23.7MiB live, 255.7MiB allocated

Pruning

37 alts after pruning (25 fresh and 12 done)

	Pruned	Kept	Total
New	1 254	4	1 258
Fresh	1	21	22
Picked	1	4	5
Done	0	8	8
Total	1 256	37	1 293

Accuracy

100.0%

Counts

1 293 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.0%	(copysign.f64 (-.f64 (+.f64 (log1p.f64 (pow.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x)) #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x)) (-.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (-.f64 (log1p.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x))) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) x)
✓	75.8%	(copysign.f64 (-.f64 (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)))) (-.f64 (log1p.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (*.f64 x x))) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) x)
✓	7.4%	(copysign.f64 (-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
	54.3%	(copysign.f64 (-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x)) #s(literal 2 binary64))) (/.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 (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (*.f64 x x))))) x)
	12.6%	(copysign.f64 (-.f64 (log.f64 (.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 (.f64 (fma.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x)) (-.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))))) x)
	7.9%	(copysign.f64 (-.f64 #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)) (log.f64 #s(approx (neg (- (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
	75.7%	(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 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)
	55.7%	(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 (log1p.f64 (.f64 x (fma.f64 #s(literal -1 binary64) x x))) (log.f64 (*.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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))))) x)
✓	75.7%	(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)
	55.3%	(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.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)
	7.6%	(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))))) x)
	28.3%	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
✓	27.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) x)
	13.3%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))) x)
	18.5%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (/ (+ (* x x) 1) (sqrt (+ (* x x) 1))) #s(literal 1 binary64)))) x)
✓	9.8%	(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)
✓	24.1%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
	25.2%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)
	24.5%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
	25.7%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)
	54.1%	(copysign.f64 #s(approx (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) (-.f64 (.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 x x) (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 x x)) (log1p.f64 (neg.f64 (fabs.f64 x))))) x)
✓	52.8%	(copysign.f64 #s(approx (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) (neg.f64 (log1p.f64 (neg.f64 (fabs.f64 x))))) x)
	4.4%	(copysign.f64 #s(approx (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) (neg.f64 (log.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
✓	66.9%	(copysign.f64 #s(approx (- (log (* (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1)) 1)) (- (log (+ 1 (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (* x x)))) (log (+ (sqrt (+ (* x x) 1)) (fabs x))))) (log1p.f64 (fabs.f64 x))) x)
	55.2%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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))))) x)
✓	56.1%	(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)
✓	8.8%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)
	6.5%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) x)))) x)
	6.4%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))))) x)
	6.5%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 #s(literal 1/2 binary64) x)))) x)
	6.5%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1/2 binary64) x))) x))) x)
	6.4%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 x x)))) x)
	6.3%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x)
✓	6.5%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
	6.3%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
✓	6.4%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
	8.3%	#s(approx (copysign (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) x) (copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x))

Compiler

Compiled 2 264 to 825 computations (63.6% saved)

regimes64.0ms (0.6%)

Memory

-1.0MiB live, 38.4MiB allocated

Counts

54 → 3

Calls

Call 1

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

Outputs

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

(copysign.f64 (-.f64 (+.f64 (log1p.f64 (pow.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (*.f64 x x)) #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (*.f64 x x)) (-.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (-.f64 (log1p.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (*.f64 x x))) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (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:

14.0ms	x
13.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
99.4%	3	`x`
99.4%	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)

regimes69.0ms (0.6%)

Memory

-0.1MiB live, 69.7MiB allocated

Counts

53 → 3

Calls

Call 1

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

Outputs

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

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

48.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
17.0ms	x

Results

Accuracy	Segments	Branch
99.3%	3	`x`
99.3%	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)

regimes33.0ms (0.3%)

Memory

8.4MiB live, 53.4MiB allocated

Counts

45 → 3

Calls

Call 1

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

Outputs

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

Calls

2 calls:

17.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
13.0ms	x

Results

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes27.0ms (0.3%)

Memory

-8.2MiB live, 63.9MiB allocated

Counts

41 → 3

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 x x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 #s(literal 1/2 binary64) x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 x x) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1/2 binary64) x))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (.f64 #s(literal 1/2 binary64) 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 (* (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1)) 1)) (- (log (+ 1 (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (* x x)))) (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 (log.f64 (+.f64 (fabs.f64 x) #s(approx (/ (+ (* x x) 1) (sqrt (+ (* x x) 1))) #s(literal 1 binary64)))) x)
(copysign.f64 #s(approx (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) (neg.f64 (log1p.f64 (neg.f64 (fabs.f64 x))))) x)
(copysign.f64 #s(approx (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) (neg.f64 (log.f64 (-.f64 #s(literal 1 binary64) (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 (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)
#s(approx (copysign (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) x) (copysign.f64 (neg.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 (log.f64 (+.f64 (fabs.f64 x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))) x)
(copysign.f64 (-.f64 #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)) (log.f64 (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) x)
(copysign.f64 (-.f64 #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)) (log.f64 #s(approx (neg (- (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))))) 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 (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) (-.f64 (.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 x x) (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 x x)) (log1p.f64 (neg.f64 (fabs.f64 x))))) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #s(literal -1 binary64)))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)))) x)
(copysign.f64 (-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
(copysign.f64 (-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 #s(approx (neg (- (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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 (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) (-.f64 (.f64 (fma.f64 (neg.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))))) (.f64 x x) (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x)) (log1p.f64 (neg.f64 (fabs.f64 x))))) 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 (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 (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:

12.0ms	x
10.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
98.9%	3	`x`
98.9%	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)

regimes153.0ms (1.4%)

Memory

-27.3MiB live, 58.4MiB allocated

Counts

39 → 3

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 x x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 #s(literal 1/2 binary64) x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 x x) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1/2 binary64) x))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (.f64 #s(literal 1/2 binary64) 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 (* (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1)) 1)) (- (log (+ 1 (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (* x x)))) (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 (log.f64 (+.f64 (fabs.f64 x) #s(approx (/ (+ (* x x) 1) (sqrt (+ (* x x) 1))) #s(literal 1 binary64)))) x)
(copysign.f64 #s(approx (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) (neg.f64 (log1p.f64 (neg.f64 (fabs.f64 x))))) x)
(copysign.f64 #s(approx (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) (neg.f64 (log.f64 (-.f64 #s(literal 1 binary64) (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 (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)
#s(approx (copysign (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) x) (copysign.f64 (neg.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 (log.f64 (+.f64 (fabs.f64 x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))) x)
(copysign.f64 (-.f64 #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)) (log.f64 (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) x)
(copysign.f64 (-.f64 #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)) (log.f64 #s(approx (neg (- (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))))) 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 (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) (-.f64 (.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 x x) (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 x x)) (log1p.f64 (neg.f64 (fabs.f64 x))))) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #s(literal -1 binary64)))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)))) x)
(copysign.f64 (-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
(copysign.f64 (-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 #s(approx (neg (- (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) 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 (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) (-.f64 (*.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 x x) (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x)) (log1p.f64 (neg.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:

11.0ms	x
11.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
98.9%	3	`x`
98.9%	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)

regimes20.0ms (0.2%)

Memory

36.6MiB live, 36.6MiB allocated

Counts

34 → 3

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 x x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 #s(literal 1/2 binary64) x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 x x) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1/2 binary64) x))) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (.f64 #s(literal 1/2 binary64) 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 (* (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (+ (* x x) 1)) 1)) (- (log (+ 1 (+ (* (- (fabs x) (sqrt (+ (* x x) 1))) (fabs x)) (* x x)))) (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 (log.f64 (+.f64 (fabs.f64 x) #s(approx (/ (+ (* x x) 1) (sqrt (+ (* x x) 1))) #s(literal 1 binary64)))) x)
(copysign.f64 #s(approx (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) (neg.f64 (log1p.f64 (neg.f64 (fabs.f64 x))))) x)
(copysign.f64 #s(approx (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) (neg.f64 (log.f64 (-.f64 #s(literal 1 binary64) (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 (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)
#s(approx (copysign (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) x) (copysign.f64 (neg.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 (log.f64 (+.f64 (fabs.f64 x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))) x)
(copysign.f64 (-.f64 #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)) (log.f64 (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) x)
(copysign.f64 (-.f64 #s(approx (log (+ (* (neg x) x) (+ (* x x) 1))) #s(literal 0 binary64)) (log.f64 #s(approx (neg (- (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))))) 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:

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

Results

Accuracy	Segments	Branch
98.5%	3	`x`
98.5%	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)

regimes50.0ms (0.5%)

Memory

-22.2MiB live, 52.8MiB allocated

Counts

28 → 3

Calls

Call 1

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

Outputs

(copysign.f64 (log.f64 (+.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:

10.0ms	x
7.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
97.6%	3	`x`
97.6%	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)

regimes13.0ms (0.1%)

Memory

27.4MiB live, 27.4MiB allocated

Counts

21 → 3

Calls

Call 1

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

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
97.4%	3	`x`
97.4%	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)

regimes114.0ms (1.1%)

Memory

-19.9MiB live, 17.4MiB allocated

Counts

20 → 3

Calls

Call 1

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

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:

106.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
6.0ms	x

Results

Accuracy	Segments	Branch
97.3%	3	`x`
97.3%	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)

regimes10.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

14 → 2

Calls

Call 1

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

5.0ms	x
4.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
82.5%	2	`x`
82.5%	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)

regimes60.0ms (0.6%)

Memory

-26.2MiB live, 19.2MiB allocated

Counts

13 → 1

Calls

Call 1

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

55.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
4.0ms	x

Results

Accuracy	Segments	Branch
66.9%	1	`x`
66.9%	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)

regimes8.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 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
12.6%	2	`x`
12.6%	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)

regimes12.0ms (0.1%)

Memory

-22.4MiB live, 13.6MiB allocated

Counts

10 → 1

Calls

Call 1

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

Outputs

(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 #s(literal 1/2 binary64) 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)
4.0ms	x

Results

Accuracy	Segments	Branch
6.5%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
6.5%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes4.0ms (0%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Outputs

(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) 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
6.5%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
6.5%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes3.0ms (0%)

Memory

9.1MiB live, 9.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

2 calls:

1.0ms	x
1.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
6.4%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
6.4%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.869740500011363	31.886383554132305
0.0ms	-17.937164620965405	-7.957842739215853

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.869740500011363	31.886383554132305
0.0ms	-inf	-355.5307111477486

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.869740500011363	31.886383554132305
0.0ms	-28.933356585649232	-17.937164620965405

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.32990963679756696	5.869740500011363
0.0ms	-7.957842739215853	-0.029206343488861156

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.32990963679756696	5.869740500011363
0.0ms	-7.957842739215853	-0.029206343488861156

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.32990963679756696	5.869740500011363
0.0ms	-7.957842739215853	-0.029206343488861156

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.32990963679756696	5.869740500011363
0.0ms	-7.957842739215853	-0.029206343488861156

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	0.32990963679756696	5.869740500011363
0.0ms	-7.957842739215853	-0.029206343488861156

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	0.32990963679756696	5.869740500011363
0.0ms	-7.957842739215853	-0.029206343488861156

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	0.32990963679756696	5.869740500011363

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch10.0ms (0.1%)

Memory

-25.0MiB live, 12.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.2112772622105851	0.3359268705949791

Samples

7.0ms

64×

valid

Compiler

Compiled 91 to 79 computations (13.2% saved)

Precisions

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

ival-copysign: 3.0ms (55.9% of total)

ival-log: 1.0ms (18.6% of total)

ival-hypot: 1.0ms (18.6% of total)

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

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

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

exact: 0.0ms (0% of total)

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

simplify101.0ms (0.9%)

Memory

-18.8MiB live, 76.2MiB allocated

Algorithm

1×	egg-herbie

Rules

398×	`unsub-neg-binary64--.f64-neg.f64-+.f64`
372×	`distribute-lft-neg-in-binary64-*.f64-neg.f64`
290×	`neg-mul-1-binary64-*.f64-neg.f64`
208×	`neg-sub0-binary64--.f64-neg.f64`
194×	`cancel-sign-sub-binary64-+.f64-neg.f64-*.f64--.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	167	1179
1	215	1179
2	262	1179
3	308	1178
4	353	1178
5	404	1178
6	453	1178
7	546	1178
8	658	1178
9	683	1178
10	700	1178
11	732	1178
12	789	1178
13	857	1178
14	988	1178
15	1135	1178
16	1278	1178
17	1409	1178
18	1509	1178
19	1568	1178
20	1594	1178
21	1603	1178
22	1604	1178

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 -10 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 10 binary64)) (copysign.f64 (-.f64 (+.f64 (log1p.f64 (pow.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x)) #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x)) (-.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (-.f64 (log1p.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x))) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (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 -inf.0 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 10 binary64)) (copysign.f64 (-.f64 (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)))) (-.f64 (log1p.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x))) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (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 -20 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 10 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) (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 -5 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 1/2 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (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 (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 -5 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 1/2 binary64)) (copysign.f64 #s(approx (- (log (+ ( (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) (-.f64 (.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 x x) (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 x x)) (log1p.f64 (neg.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 -5 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 1/2 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 -5 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 1/2 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 -5 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 1/2 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 -5 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 1/2 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 1/2 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(if (<=.f64 x #s(literal 8106479329266893/36028797018963968 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 #s(literal 1/2 binary64) x)))) x) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 #s(literal 1/2 binary64) x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 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 -10 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 10 binary64)) (copysign.f64 (-.f64 (+.f64 (log1p.f64 (pow.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x)) #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x)) (-.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (-.f64 (log1p.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x))) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) x) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (+.f64 (fabs.f64 x) x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 x))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 x))) x) #s(literal 10 binary64)) (copysign.f64 (-.f64 (+.f64 (log.f64 (pow.f64 (fma.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x)) (-.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x)) #s(literal 3 binary64)))) (-.f64 (log1p.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x))) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (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 -inf.0 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 10 binary64)) (copysign.f64 (-.f64 (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)))) (-.f64 (log1p.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x))) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) x) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 x))) x) #s(literal -inf.0 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 x))) x) #s(literal 10 binary64)) (copysign.f64 (-.f64 (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)))) (-.f64 (log1p.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (.f64 x x))) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (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 -20 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 10 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) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 x))) x) #s(literal -20 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 x))) x) #s(literal 10 binary64)) (copysign.f64 (+.f64 (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 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (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 -5 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 1/2 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (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 (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 -5 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 1/2 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( 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 #s(literal -1 binary64) (fabs.f64 x)))) 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 #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 -5 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 1/2 binary64)) (copysign.f64 #s(approx (- (log (+ ( (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) (-.f64 (.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 x x) (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 x x)) (log1p.f64 (neg.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 -5 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 1/2 binary64)) (copysign.f64 #s(approx (- (log (+ ( (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) (-.f64 (.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal -1 binary64) (fabs.f64 x))) (/.f64 #s(literal -1/8 binary64) (.f64 (+.f64 #s(literal -1 binary64) (fabs.f64 x)) (+.f64 #s(literal -1 binary64) (fabs.f64 x))))) (.f64 x x) (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 x x)) (log1p.f64 (neg.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 -5 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 1/2 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 -5 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 1/2 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 #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 -5 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 1/2 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 x))) x) #s(literal -5 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 1/2 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 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 1/2 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 x))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 x))) x) #s(literal 1/2 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 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 1/2 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 x))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 x))) x) #s(literal 1/2 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 1/2 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 x))) x) #s(literal 1/2 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(if (<=.f64 x #s(literal 8106479329266893/36028797018963968 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 #s(literal 1/2 binary64) x)))) x) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 #s(literal 1/2 binary64) x)))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) x) x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) (.f64 x x)))) x)

soundness1.9s (17.7%)

Memory

22.9MiB live, 1 124.1MiB allocated

Rules

24 610×	`lower-fma.f64`
24 610×	`lower-fma.f32`
18 244×	`lower-fma.f64`
18 244×	`lower-fma.f32`
11 966×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	752	8487
1	2433	7986
0	8347	7266
0	44	407
0	82	406
1	294	342
2	2454	342
0	8324	338
0	9	44
0	16	44
1	51	44
2	324	44
3	3419	44
0	8352	39
0	169	782
1	490	754
2	1513	741
3	5415	691
0	8408	635
0	433	5736
1	1323	5316
2	4297	5167
0	8274	4818
0	68	573
0	114	571
1	462	532
2	3991	499
0	8440	477

Stop Event

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

Compiler

Compiled 1 235 to 381 computations (69.1% saved)

preprocess194.0ms (1.8%)

Memory: 19.5MiB live, 259.0MiB allocated
Compiler: Compiled 1 718 to 328 computations (80.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample482.0ms (4.5%)

explain260.0ms (2.4%)

preprocess12.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize86.0ms (0.8%)

series29.0ms (0.3%)

simplify261.0ms (2.4%)

rewrite235.0ms (2.2%)

eval103.0ms (1%)

prune80.0ms (0.7%)

simplify270.0ms (2.5%)

localize262.0ms (2.5%)

series263.0ms (2.5%)

simplify337.0ms (3.2%)

rewrite278.0ms (2.6%)

eval401.0ms (3.8%)

prune110.0ms (1%)

simplify257.0ms (2.4%)

localize498.0ms (4.7%)

series264.0ms (2.5%)

simplify469.0ms (4.4%)

rewrite197.0ms (1.9%)

eval430.0ms (4%)

prune194.0ms (1.8%)

simplify222.0ms (2.1%)

localize497.0ms (4.7%)

series109.0ms (1%)

simplify229.0ms (2.1%)

rewrite318.0ms (3%)

eval487.0ms (4.6%)

prune187.0ms (1.8%)

regimes64.0ms (0.6%)

regimes69.0ms (0.6%)

regimes33.0ms (0.3%)

regimes27.0ms (0.3%)

regimes153.0ms (1.4%)

regimes20.0ms (0.2%)

regimes50.0ms (0.5%)

regimes13.0ms (0.1%)

regimes114.0ms (1.1%)

regimes10.0ms (0.1%)

regimes60.0ms (0.6%)

regimes8.0ms (0.1%)

regimes12.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch10.0ms (0.1%)

simplify101.0ms (0.9%)

soundness1.9s (17.7%)

preprocess194.0ms (1.8%)

end0.0ms (0%)

Profiling