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)

sample740.0ms (6.1%)

Memory

-20.0MiB live, 664.1MiB allocated

Samples

443.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 250.0ms

ival-asinh: 241.0ms (96.5% of total)

ival-true: 6.0ms (2.4% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain262.0ms (2.2%)

Memory

-0.5MiB live, 347.7MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`	sensitivity	127	0
`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 -
+	187	0
-	0	69

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	187	0	0
-	0	0	69

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	69
1	187

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

75.0ms	90×	2	valid
45.0ms	268×	0	valid
34.0ms	154×	1	valid

Compiler

Compiled 115 to 31 computations (73% saved)

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

ival-hypot: 49.0ms (36.5% of total)

ival-log: 38.0ms (28.3% of total)

ival-fabs: 23.0ms (17.1% of total)

ival-copysign: 6.0ms (4.5% of total)

adjust: 6.0ms (4.5% of total)

ival-add: 6.0ms (4.5% of total)

ival-mult: 4.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess13.0ms (0.1%)

Memory

23.7MiB live, 23.7MiB 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 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.6MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.9%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify4.0ms (0%)

Memory

7.5MiB live, 7.5MiB 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 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.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 (+.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)

localize74.0ms (0.6%)

Memory

-12.5MiB live, 114.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (*.f64 x x) #s(literal 1 binary64))
accuracy	0.0078125	(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
accuracy	13.97864189182082	(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
accuracy	29.075126199874994	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Samples

20.0ms	77×	1	valid
20.0ms	45×	2	valid
12.0ms	134×	0	valid

Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-log: 17.0ms (43.6% of total)

ival-hypot: 9.0ms (23.1% of total)

ival-copysign: 3.0ms (7.7% of total)

adjust: 3.0ms (7.7% of total)

ival-add: 3.0ms (7.7% of total)

ival-fabs: 2.0ms (5.1% of total)

ival-mult: 2.0ms (5.1% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory

-26.8MiB live, 11.1MiB allocated

Counts

5 → 60

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>) () ())

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 (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 (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 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 (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 (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 (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 (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 (* -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 (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 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 (* -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 (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 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 (* -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>) () ())) ())

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(sqrt (+ (* x x) 1))
1.0ms	x	@	0	(log (+ (fabs x) (sqrt (+ (* x x) 1))))
1.0ms	x	@	inf	(log (+ (fabs x) (sqrt (+ (* x x) 1))))
0.0ms	x	@	inf	(+ (fabs x) (sqrt (+ (* x x) 1)))
0.0ms	x	@	-inf	(log (+ (fabs x) (sqrt (+ (* x x) 1))))

simplify383.0ms (3.2%)

Memory

5.6MiB live, 559.5MiB 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	758
1	490	730
2	1511	717
3	5413	667
0	8421	611

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 58

Calls

Call 1

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

rewrite229.0ms (1.9%)

Memory

49.8MiB live, 387.0MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	42
0	16	42
1	51	42
2	324	42
3	3419	42
0	8352	37

Stop Event

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

Counts

5 → 272

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)))

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

eval171.0ms (1.4%)

Memory: -14.8MiB live, 110.9MiB allocated
Compiler: Compiled 10 068 to 1 572 computations (84.4% saved)

prune210.0ms (1.7%)

Memory

-38.4MiB live, 123.2MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	313	17	330
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	314	17	331

Accuracy

100.0%

Counts

331 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.8%	(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 (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)))))) x)
▶	31.9%	(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x)
▶	31.9%	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
	31.1%	(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)
	27.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
	25.8%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)
▶	19.1%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
	5.6%	(copysign.f64 (log.f64 (.f64 (/.f64 (-.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (.f64 x (.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 (fma.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))))) x)
	27.4%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x))) x)
	28.1%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
	26.2%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))) x)
	9.9%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))) x)
	51.2%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 45 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 30 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))) x)
	52.1%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))) x)
	51.9%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x)))) x)
	64.1%	(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 716 to 346 computations (51.7% saved)

simplify98.0ms (0.8%)

Memory

3.7MiB live, 80.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x)
cost-diff	256	(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))))
cost-diff	576	(log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))
cost-diff	704	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
cost-diff	0	(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
cost-diff	0	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
cost-diff	0	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
cost-diff	0	(fabs.f64 x)
cost-diff	0	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))
cost-diff	0	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))
cost-diff	0	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
cost-diff	0	(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 (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))))))
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 (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)))))) 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

1 696×	`lower-fma.f32`
1 690×	`lower-fma.f64`
608×	`lower-*.f32`
606×	`lower-*.f64`
392×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	418
0	63	404
1	86	403
2	116	403
3	160	403
4	260	399
5	399	399
6	706	399
7	1102	399
8	1511	399
9	1788	399
10	1911	399
11	1987	399
12	2025	399
13	2028	399
14	2029	399
15	2029	399
0	2029	394

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize382.0ms (3.2%)

Memory

-6.7MiB live, 338.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
accuracy	6.533497129374996	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy	14.99283874035574	(log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))
accuracy	0	(fabs.f64 x)
accuracy	0.0078125	(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
accuracy	6.533497129374996	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy	15.020380934205415	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
accuracy	0	(fabs.f64 x)
accuracy	0.0078125	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))
accuracy	14.841872502962309	#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
accuracy	15.020380934205415	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #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	26.903845740713162	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))
accuracy	6.537247754648329	(/.f64 (+.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))))
accuracy	6.787523964678544	(log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
accuracy	14.096207823723025	(-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
accuracy	15.01186077921641	(log.f64 (/.f64 (+.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)))))

Samples

130.0ms	23×	2	valid
102.0ms	97×	1	valid
57.0ms	128×	0	invalid
2.0ms	8×	0	valid

Compiler

Compiled 463 to 29 computations (93.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 266.0ms

ival-log: 143.0ms (53.8% of total)

ival-log1p: 45.0ms (16.9% of total)

ival-add: 34.0ms (12.8% of total)

ival-copysign: 10.0ms (3.8% of total)

ival-div: 8.0ms (3% of total)

adjust: 8.0ms (3% of total)

ival-hypot: 8.0ms (3% of total)

ival-mult: 4.0ms (1.5% of total)

ival-sub: 2.0ms (0.8% of total)

ival-neg: 2.0ms (0.8% of total)

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

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

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

exact: 0.0ms (0% of total)

series99.0ms (0.8%)

Memory

7.1MiB live, 164.4MiB allocated

Counts

26 → 312

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

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 (pow x 2) (taylor inf 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 (* (pow x 2) (+ 1 (* -1 (/ (fabs x) x)))) (taylor inf 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 (* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (/ (pow (fabs x) 2) (pow x 2))))) (taylor inf 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 (* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (/ (pow (fabs x) 2) (pow x 2)))))) (taylor inf 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 (pow x 2) (taylor -inf 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>) () ())) ())
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#s(alt (* -1 x) (taylor -inf x) (#s(alt (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) (taylor -inf x) (#s(alt (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) (taylor -inf x) (#s(alt (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (patch (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -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 (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>) () ())) ())

Calls

78 calls:

Time	Variable		Point	Expression
29.0ms	x	@	0	(log x)
19.0ms	x	@	-inf	(log x)
8.0ms	x	@	inf	(log x)
7.0ms	x	@	0	(+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))))
2.0ms	x	@	inf	(+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))))

simplify449.0ms (3.7%)

Memory

28.5MiB live, 427.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12 260×	`lower-fma.f64`
12 260×	`lower-fma.f32`
6 746×	`lower-*.f64`
6 746×	`lower-*.f32`
6 452×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	810	9430
1	2617	8840
0	8885	8080

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 306

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))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (/ (pow (fabs x) 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (/ (pow (fabs x) 2) (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (fabs x) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2)) x))) x))))
(+ 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))))))))
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(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2))))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))))
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(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)
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(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))))
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(+ (log (/ 1 x)) (* -2 (log (/ 1 x))))
(+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (/ (fabs x) x)))
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(+ (log (/ -1 x)) (* -2 (log (/ -1 x))))
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(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
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(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)
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(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
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(+ (log (+ 1 (* (fabs x) (- (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))))))))
(* -2 (log (/ 1 x)))
(+ (* -2 (log (/ 1 x))) (* -1 (/ (fabs x) x)))
(+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2)))))
(+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) (pow x 3))) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2))))))
(* -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 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))
(+ (* (pow x 2) (- (* 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 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))
(+ (* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))))) (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))
(+ (* (pow x 2) (- (+ (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (- (* (pow x 2) (- (* 1/16 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1 (/ (* (+ 1 (* -1/2 (fabs x))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/16 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 1/8 (/ (* (fabs x) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))
(/ 1 x)
(/ (- (+ 1 (/ (fabs x) x)) (* -1 (/ (fabs x) x))) x)
(/ (- (+ 1 (+ (* -1 (/ (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) (* -1 (/ (fabs x) x))) x)
(/ (- (+ 1 (+ (* -1 (/ (+ (* -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)))))) (pow x 3))) (/ (fabs x) x))) (+ (* -1 (/ (fabs x) x)) (+ (* -1 (/ (* (fabs x) (- (fabs x) (* -1 (fabs x)))) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))) 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
(+ 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)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 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 (+ 1 (fabs x)))
(+ (* -1/2 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (/ 1 (+ 1 (fabs x))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))
(/ 1 x)
(/ (+ 1 (* -1 (/ (fabs x) x))) x)
(/ (- (+ 1 (* -1 (/ (+ 1/2 (* -1 (pow (fabs x) 2))) (pow x 2)))) (/ (fabs x) x)) x)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x))) (pow x 3)))) (+ (* -1 (/ (pow (fabs x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ (fabs x) x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (* 1/2 (/ 1 x))) (fabs x)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (* -1/2 (/ (fabs x) x))) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (fabs x)) x))) 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))))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 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)))))

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

rewrite528.0ms (4.4%)

Memory

2.1MiB live, 671.9MiB allocated

Rules

5 234×	`lower-fma.f32`
5 228×	`lower-fma.f64`
4 714×	`lower-/.f32`
4 708×	`lower-/.f64`
4 188×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	362
0	63	476
1	212	283
2	1622	283
0	8456	283

Stop Event

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

Counts

26 → 1 405

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

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

eval505.0ms (4.2%)

Memory: 28.7MiB live, 849.4MiB allocated
Compiler: Compiled 131 820 to 8 934 computations (93.2% saved)

prune478.0ms (3.9%)

Memory

-6.3MiB live, 479.2MiB allocated

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	2 235	7	2 242
Fresh	3	9	12
Picked	2	3	5
Done	0	0	0
Total	2 240	19	2 259

Accuracy

100.0%

Counts

2 259 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.8%	(copysign.f64 (-.f64 (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) (log.f64 (/.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
	21.9%	(copysign.f64 (.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (/.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))))))) x)
	31.9%	(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
▶	31.1%	(copysign.f64 (neg.f64 (log.f64 (*.f64 (/.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))))))) x)
	14.8%	(copysign.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (fabs.f64 x))) x)
✓	31.9%	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
	31.1%	(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)
	27.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
▶	25.8%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)
✓	19.1%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
▶	27.4%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x))) x)
	28.1%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
	26.2%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))) x)
	9.9%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))) x)
	52.1%	(copysign.f64 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x)
▶	64.1%	(copysign.f64 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (log1p.f64 (fabs.f64 x))) x)
	51.2%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 45 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 30 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))) x)
	51.9%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (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 931 to 387 computations (58.4% saved)

simplify335.0ms (2.8%)

Memory

-9.0MiB live, 274.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	64	(fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
cost-diff	256	(neg.f64 (log.f64 (*.f64 (/.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))))))
cost-diff	576	(log.f64 (*.f64 (/.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))))))
cost-diff	5376	(*.f64 (/.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))))
cost-diff	0	(-.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x))
cost-diff	0	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)))
cost-diff	0	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x))) x)
cost-diff	0	(fabs.f64 x)
cost-diff	0	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))
cost-diff	0	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))))
cost-diff	0	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)
cost-diff	0	(fabs.f64 x)
cost-diff	0	(log1p.f64 (fabs.f64 x))
cost-diff	0	#s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (log1p.f64 (fabs.f64 x)))
cost-diff	0	(copysign.f64 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (log1p.f64 (fabs.f64 x))) x)
cost-diff	0	(-.f64 (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) (log.f64 (/.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
cost-diff	0	(copysign.f64 (-.f64 (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) (log.f64 (/.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
cost-diff	64	(fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
cost-diff	64	(fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))

Rules

11 086×	`lower-fma.f32`
11 078×	`lower-fma.f64`
2 974×	`lower-*.f32`
2 970×	`lower-*.f64`
2 458×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	734
0	88	698
1	128	597
2	181	589
3	273	589
4	540	585
5	1488	585
6	4346	585
0	8268	577

Stop Event

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

Calls

Call 1

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

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

localize453.0ms (3.7%)

Memory

-3.5MiB live, 595.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	13.978641891820809	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy	14.004736270128356	(/.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
accuracy	29.03209615159724	(log.f64 (*.f64 (/.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))))))
accuracy	29.333915756596856	(-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
accuracy	0.44957257163523323	(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
accuracy	14.100114073723025	(-.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)
accuracy	29.075126199874994	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)))
accuracy	46.55178800408079	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x))
accuracy	0	(fabs.f64 x)
accuracy	0.0078125	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))
accuracy	29.075126199874994	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))))
accuracy	47.723884157788156	#s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))
accuracy	0	(copysign.f64 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (log1p.f64 (fabs.f64 x))) x)
accuracy	0	(log1p.f64 (fabs.f64 x))
accuracy	0	(fabs.f64 x)
accuracy	22.948060798882445	#s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (log1p.f64 (fabs.f64 x)))
accuracy	14.004736270128356	(/.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
accuracy	14.547470867168526	(log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))
accuracy	29.031165500617625	(log.f64 (/.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
accuracy	29.333915756596856	(-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))

Samples

193.0ms	175×	1	valid
111.0ms	68×	2	valid
4.0ms	13×	0	valid

Compiler

Compiled 753 to 42 computations (94.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 258.0ms

ival-log: 137.0ms (53% of total)

adjust: 24.0ms (9.3% of total)

ival-div: 23.0ms (8.9% of total)

ival-add: 16.0ms (6.2% of total)

ival-copysign: 15.0ms (5.8% of total)

ival-hypot: 13.0ms (5% of total)

ival-mult: 8.0ms (3.1% of total)

ival-log1p: 8.0ms (3.1% of total)

ival-sub: 7.0ms (2.7% of total)

ival-neg: 4.0ms (1.5% of total)

ival-fabs: 2.0ms (0.8% of total)

exact: 1.0ms (0.4% of total)

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

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

series105.0ms (0.9%)

Memory

18.8MiB live, 255.7MiB allocated

Counts

25 → 300

Calls

Call 1

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

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

Calls

75 calls:

Time	Variable		Point	Expression
34.0ms	x	@	inf	(log (+ 1 (fabs x)))
16.0ms	x	@	-inf	(log (+ 1 (fabs x)))
16.0ms	x	@	0	(log (+ 1 (fabs x)))
6.0ms	x	@	-inf	(- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (* x x)))) (log (/ (+ (* x x) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) 1)) (+ (fabs x) (sqrt (+ (* x x) 1))))))
4.0ms	x	@	0	(- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (* x x)))) (log (/ (+ (* x x) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) 1)) (+ (fabs x) (sqrt (+ (* x x) 1))))))

simplify625.0ms (5.2%)

Memory

-125.1MiB live, 497.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 064×	`lower-fma.f64`
11 064×	`lower-fma.f32`
6 594×	`lower-*.f64`
6 594×	`lower-*.f32`
5 838×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	802	9133
1	2579	8442
0	8451	7738

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 294

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))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (/ (pow (fabs x) 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (/ (pow (fabs x) 2) (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (fabs x) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2)) x))) x))))
(+ 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)))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2))))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))))
(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 (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
(- (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (log (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (+ 1 (fabs x)))))
(- (+ (log (+ 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)) (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (log (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (+ 1 (fabs x)))))
(- (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (- (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (- (* 1/24 (+ (* -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))))))) (* 1/24 (+ (* -12 (/ (* (pow (+ 1 (fabs x)) 2) (pow (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) 2)) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 24 (/ (* (+ 1 (fabs x)) (- (* 1/8 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))) (/ (* (+ 1 (fabs x)) (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (log (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (+ 1 (fabs x)))))
(- (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (- (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (- (+ (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (* (pow x 2) (- (* 1/720 (+ (* -90 (/ (* (fabs x) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* -45 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 240 (/ (pow (+ 1 (* -1/2 (fabs x))) 3) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3)))))) (* 1/720 (+ (* -720 (/ (* (pow (+ 1 (fabs x)) 2) (* (- (* 1/8 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x)))))) (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 240 (/ (* (pow (+ 1 (fabs x)) 3) (pow (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) 3)) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3))) (* 720 (/ (* (+ 1 (fabs x)) (- (* -1/16 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x)))) (+ (* 1/16 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (* 1/8 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x)))))) (+ 1 (fabs x)))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))))) (* 1/24 (+ (* -12 (/ (* (pow (+ 1 (fabs x)) 2) (pow (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) 2)) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 24 (/ (* (+ 1 (fabs x)) (- (* 1/8 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))) (/ (* (+ 1 (fabs x)) (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (log (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (+ 1 (fabs x)))))
(- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x))))
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(+ (log (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (+ 1 (fabs x)))) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (+ (* -12 (/ (* (pow (+ 1 (fabs x)) 2) (pow (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) 2)) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 24 (/ (* (+ 1 (fabs x)) (- (* 1/8 (/ (fabs x) (+ 1 (fabs x)))) (+ (* -1/8 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2)))) (+ 1 (fabs x))))))) (+ 1 (* (fabs x) (- (fabs x) 1)))))))) (/ (* (+ 1 (fabs x)) (- (+ (* -1/2 (/ (fabs x) (+ 1 (fabs x)))) (/ 1 (+ 1 (fabs x)))) (* 1/2 (/ (+ 1 (* (fabs x) (- (fabs x) 1))) (pow (+ 1 (fabs x)) 2))))) (+ 1 (* (fabs x) (- (fabs x) 1)))))))
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(* -1 (log (/ 1 x)))
(- (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))) (/ (fabs x) x))
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(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (fabs x)) (fabs x)) x)))
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(+ (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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(* -2 (log (/ 1 x)))
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(/ (+ 1 (* (fabs x) (- (fabs x) 1))) (+ 1 (fabs x)))
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x
(* x (- (+ 1 (* -1 (/ (fabs x) x))) (/ (fabs x) x)))
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(* -1 x)
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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)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
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)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
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(* -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 x (*.f64 x (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (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 x (.f64 x (fma.f64 (fabs.f64 x) (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (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 x (.f64 x (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) (fma.f64 (.f64 x x) #s(literal -1/16 binary64) #s(literal 1/8 binary64))) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (fma.f64 x x (neg.f64 (fabs.f64 x))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))
(*.f64 x (fma.f64 (/.f64 (fabs.f64 x) x) (neg.f64 x) x))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (/ (pow (fabs x) 2) (pow x 2)))))
(.f64 (.f64 x x) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 (.f64 x x) (.f64 x x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (/ (pow (fabs x) 2) (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 x) (.f64 x (.f64 x x))) (/.f64 (.f64 x x) (.f64 x x))) (/.f64 (fabs.f64 x) x))))
(pow x 2)
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(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) x))) x))))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (fabs.f64 x)) (/.f64 (*.f64 x x) x)) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2)) x))) x))))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fabs.f64 x) x) #s(literal 1/2 binary64) (*.f64 x x)) (neg.f64 x)) (fabs.f64 x)) x)))
(+ 1 (* (fabs x) (- (fabs x) 1)))
(fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x))))))
(+.f64 (fma.f64 x x (neg.f64 (fabs.f64 x))) (fma.f64 (*.f64 x x) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64)) #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))))))))
(+.f64 (fma.f64 x x (neg.f64 (fabs.f64 x))) (fma.f64 (.f64 x x) (fma.f64 (fabs.f64 x) (fma.f64 x (.f64 x #s(literal 1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #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)))))))))
(+.f64 (fma.f64 x x (neg.f64 (fabs.f64 x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) (fma.f64 (.f64 x x) #s(literal -1/16 binary64) #s(literal 1/8 binary64))) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))
(*.f64 x (fma.f64 (/.f64 (fabs.f64 x) x) (neg.f64 x) x))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2))))))
(.f64 (.f64 x x) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (+.f64 (/.f64 (.f64 x x) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))))
(.f64 (.f64 x x) (+.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 x) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (.f64 x x) (*.f64 x x))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (fabs x) x)))
(*.f64 x (fma.f64 x (/.f64 (fabs.f64 x) x) x))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (pow (fabs x) 2)) x))) x))))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (fabs.f64 x)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2))) x))) x))))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (fabs.f64 x)) (/.f64 (fma.f64 (/.f64 (fabs.f64 x) x) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) x)) x)))
(copysign (- (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))) (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x)
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(* x (- (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (/ 1/2 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2))))) (+ (/ (fabs x) x) (/ (* (fabs x) (- (* -1 (fabs x)) (fabs x))) (pow x 2)))))
(.f64 x (-.f64 (+.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (fma.f64 (fabs.f64 x) (/.f64 (.f64 (fabs.f64 x) #s(literal -2 binary64)) (.f64 x x)) (/.f64 (fabs.f64 x) x))))
(* x (- (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (+ (/ 1/2 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))) (+ (* 1/2 (/ (- (* -1 (fabs x)) (fabs x)) (pow x 3))) (+ (/ (fabs x) x) (+ (/ (* (fabs x) (- (* -1 (fabs x)) (fabs x))) (pow x 2)) (/ (* (fabs x) (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x))))) (pow x 3)))))))
(.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 x) (.f64 x (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (-.f64 (/.f64 (.f64 x x) (.f64 x x)) (/.f64 (fabs.f64 x) x)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (fabs.f64 x) #s(literal -2 binary64)) (.f64 x (.f64 x x))) (fma.f64 (fabs.f64 x) (+.f64 (/.f64 (.f64 (fabs.f64 x) #s(literal -2 binary64)) (.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal -2 binary64))))) (.f64 x (*.f64 x x)))) (/.f64 (fabs.f64 x) x)))))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (fabs x)) (fabs x)) x)))))
(neg.f64 (fma.f64 x (/.f64 (+.f64 (fabs.f64 x) (fabs.f64 x)) x) x))
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (fabs x)) (* -1 (/ (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x)))) x))) (fabs x)) x)))))
(neg.f64 (fma.f64 x (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal -2 binary64))))) (neg.f64 x)) (*.f64 (fabs.f64 x) #s(literal -2 binary64))) (neg.f64 x)) x))
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (fabs x)) (* -1 (/ (- (+ 1/2 (+ (* -1 (/ (- (* -1/2 (fabs x)) (+ (* 1/2 (- (* -1 (fabs x)) (fabs x))) (* (fabs x) (- (+ 1/2 (pow (fabs x) 2)) (* (fabs x) (- (* -1 (fabs x)) (fabs x))))))) x)) (pow (fabs x) 2))) (* (fabs x) (- (* -1 (fabs x)) (fabs x)))) x))) (fabs x)) x)))))
(neg.f64 (fma.f64 x (/.f64 (+.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 (fabs.f64 x) #s(literal -1/2 binary64)) (fma.f64 (fabs.f64 x) (+.f64 #s(literal 1/2 binary64) (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal -2 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (fabs.f64 x) #s(literal -2 binary64))))) x)) (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal -2 binary64))))) (neg.f64 x)) (.f64 (fabs.f64 x) #s(literal -2 binary64))) (neg.f64 x)) x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(neg.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(.f64 (neg.f64 x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(neg.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(.f64 (neg.f64 x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))

rewrite458.0ms (3.8%)

Memory

33.6MiB live, 415.7MiB allocated

Rules

4 276×	`lower-*.f32`
4 272×	`lower-*.f64`
4 256×	`lower-fma.f32`
4 248×	`lower-fma.f64`
3 462×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	511
0	86	500
1	333	337
2	2820	337
0	8289	333

Stop Event

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

Counts

25 → 741

Calls

Call 1

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

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

eval436.0ms (3.6%)

Memory: 2.9MiB live, 621.7MiB allocated
Compiler: Compiled 112 322 to 7 431 computations (93.4% saved)

prune375.0ms (3.1%)

Memory

25.5MiB live, 550.0MiB allocated

Pruning

20 alts after pruning (12 fresh and 8 done)

	Pruned	Kept	Total
New	1 893	2	1 895
Fresh	1	10	11
Picked	0	5	5
Done	0	3	3
Total	1 894	20	1 914

Accuracy

100.0%

Counts

1 914 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.8%	(copysign.f64 (-.f64 (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) (log.f64 (/.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
▶	69.1%	(copysign.f64 (neg.f64 (+.f64 (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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))))))) x)
	24.7%	(copysign.f64 (neg.f64 (log.f64 (/.f64 (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 (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)))))))) x)
	31.9%	(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
✓	31.1%	(copysign.f64 (neg.f64 (log.f64 (*.f64 (/.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))))))) x)
	14.8%	(copysign.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (fabs.f64 x))) x)
✓	31.9%	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
▶	31.1%	(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)
	27.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
✓	25.8%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)
✓	19.1%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
✓	27.4%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x))) x)
	28.1%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
▶	26.2%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))) x)
▶	9.9%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))) x)
▶	52.1%	(copysign.f64 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x)
✓	64.1%	(copysign.f64 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (log1p.f64 (fabs.f64 x))) x)
	51.2%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 45 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 30 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))) x)
	51.9%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (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 789 to 358 computations (54.6% saved)

simplify625.0ms (5.2%)

Memory

-42.9MiB live, 486.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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	(/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))
cost-diff	0	#s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))))
cost-diff	0	(copysign.f64 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x)
cost-diff	0	(+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))
cost-diff	0	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))))
cost-diff	0	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))) x)
cost-diff	0	(+.f64 x (fabs.f64 x))
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))
cost-diff	0	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x))))
cost-diff	0	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))) x)
cost-diff	128	(+.f64 (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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))))))
cost-diff	128	(neg.f64 (+.f64 (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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)))))))
cost-diff	576	(log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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)))))
cost-diff	1664	(/.f64 (/.f64 #s(literal 1 binary64) (+.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))))

Rules

22 888×	`lower-fma.f32`
22 878×	`lower-fma.f64`
2 828×	`lower-+.f32`
2 816×	`lower-+.f64`
2 516×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	564
0	85	560
1	128	554
2	195	545
3	346	545
4	963	540
5	2692	540
6	4455	480
7	7597	480
0	8129	479

Stop Event

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

Calls

Call 1

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

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

localize401.0ms (3.3%)

Memory

10.1MiB live, 449.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
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	6.537403379374994	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy	6.556934629374997	(/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
accuracy	15.037263465826069	(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	(fabs.f64 x)
accuracy	0.015625	(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))
accuracy	6.537403379374997	(/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
accuracy	15.617475586056278	#s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))))
accuracy	0	(*.f64 x #s(literal 1/2 binary64))
accuracy	0	(fabs.f64 x)
accuracy	15.037263465826069	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))))
accuracy	15.263061660072491	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))
accuracy	0	(+.f64 x (fabs.f64 x))
accuracy	0	(fabs.f64 x)
accuracy	15.037263465826069	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x))))
accuracy	17.335667844296964	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))
accuracy	6.537403379374994	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy	6.795336464678544	(log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))
accuracy	14.44554770030142	(-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
accuracy	15.427758621158551	(log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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)))))

Samples

173.0ms	97×	1	valid
89.0ms	123×	1	exit
47.0ms	23×	2	valid
4.0ms	13×	0	valid

Compiler

Compiled 564 to 41 computations (92.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 280.0ms

ival-add: 105.0ms (37.5% of total)

ival-log: 59.0ms (21.1% of total)

adjust: 56.0ms (20% of total)

ival-div: 12.0ms (4.3% of total)

ival-copysign: 12.0ms (4.3% of total)

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

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

ival-log1p: 8.0ms (2.9% of total)

ival-neg: 6.0ms (2.1% of total)

ival-sub: 2.0ms (0.7% of total)

ival-fabs: 2.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series48.0ms (0.4%)

Memory

0.7MiB live, 79.0MiB allocated

Counts

25 → 300

Calls

Call 1

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

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

Calls

75 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	(neg (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (* x x)))) (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))))
4.0ms	x	@	0	(log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))
3.0ms	x	@	0	(/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))
2.0ms	x	@	0	(+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (* x x)))) (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))))
1.0ms	x	@	inf	(log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))

simplify395.0ms (3.3%)

Memory

-0.7MiB live, 454.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 100×	`lower-fma.f64`
10 100×	`lower-fma.f32`
5 798×	`lower-+.f64`
5 798×	`lower-+.f32`
5 492×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	715	12256
1	2381	10742
0	8813	9868

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 292

Calls

Call 1

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

rewrite369.0ms (3%)

Memory

8.9MiB live, 421.5MiB allocated

Rules

4 030×	`lower-/.f32`
4 022×	`lower-/.f64`
3 968×	`lower-fma.f32`
3 958×	`lower-fma.f64`
3 846×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	419
0	83	403
1	313	388
2	2610	383
0	8834	383

Stop Event

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

Counts

25 → 583

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (neg.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (neg.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (*.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (neg.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (*.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))))) (neg.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))))) (neg.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))))) (neg.f64 (neg.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x x)) (.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x x))) #s(literal 1 binary64))) (fma.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x x)) (-.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (-.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)))) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) (fma.f64 (.f64 x x) (.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))))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x x))))) (-.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 (.f64 x x) (.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))))) (.f64 (fma.f64 x (neg.f64 x) #s(literal -1 binary64)) (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 (neg.f64 x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal -1 binary64)) #s(literal -1 binary64))
(log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(+.f64 (neg.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))))
(+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (*.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(+.f64 (neg.f64 (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) (neg.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(+.f64 (neg.f64 (log.f64 (neg.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))))))
(+.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x x)) (.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x x))) #s(literal 1 binary64)))) (log1p.f64 (.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x x)) (-.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (-.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)))) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (fma.f64 (.f64 x x) (.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))))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(+.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x x)))))) (log1p.f64 (neg.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x x)))))
(+.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 (.f64 x x) (.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))))) (*.f64 (fma.f64 x (neg.f64 x) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) (log.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (neg.f64 x) #s(literal -1 binary64)))))
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eval406.0ms (3.4%)

Memory: 6.2MiB live, 524.9MiB allocated
Compiler: Compiled 60 793 to 5 148 computations (91.5% saved)

prune262.0ms (2.2%)

Memory

15.2MiB live, 580.4MiB allocated

Pruning

21 alts after pruning (8 fresh and 13 done)

	Pruned	Kept	Total
New	1 293	1	1 294
Fresh	0	7	7
Picked	0	5	5
Done	0	8	8
Total	1 293	21	1 314

Accuracy

100.0%

Counts

1 314 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.8%	(copysign.f64 (-.f64 (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) (log.f64 (/.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
✓	69.1%	(copysign.f64 (neg.f64 (+.f64 (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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))))))) x)
	24.7%	(copysign.f64 (neg.f64 (log.f64 (/.f64 (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 (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)))))))) x)
	31.9%	(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x)
✓	31.1%	(copysign.f64 (neg.f64 (log.f64 (*.f64 (/.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))))))) x)
	14.8%	(copysign.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (fabs.f64 x))) x)
✓	31.9%	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
✓	31.1%	(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)
	27.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x)
✓	25.8%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)
✓	19.1%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x)
✓	27.4%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x))) x)
	28.1%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x)
✓	26.2%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))) x)
✓	9.9%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))) x)
✓	52.1%	(copysign.f64 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x)
✓	64.1%	(copysign.f64 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (log1p.f64 (fabs.f64 x))) x)
	6.2%	(copysign.f64 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* 1/2 (/ (* x x) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
	51.2%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 45 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 30 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))) x)
	51.9%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (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 1 190 to 386 computations (67.6% saved)

regimes41.0ms (0.3%)

Memory

-2.0MiB live, 37.1MiB allocated

Counts

28 → 3

Calls

Call 1

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

Calls

2 calls:

31.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
8.0ms	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 15 to 10 computations (33.3% saved)

regimes17.0ms (0.1%)

Memory

-4.8MiB live, 38.9MiB allocated

Counts

25 → 3

Calls

Call 1

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

(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 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)
7.0ms	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 15 to 10 computations (33.3% saved)

regimes16.0ms (0.1%)

Memory

0.5MiB live, 39.4MiB allocated

Counts

24 → 3

Calls

Call 1

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

Outputs

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

(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 45 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 30 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 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:

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

Results

Accuracy	Segments	Branch
99.3%	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 15 to 10 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory

-10.6MiB live, 28.1MiB allocated

Counts

23 → 3

Calls

Call 1

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

Outputs

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

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

8.0ms	x
6.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
99.1%	3	`x`
99.1%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated

Counts

19 → 3

Calls

Call 1

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

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

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
98.6%	3	`x`
98.6%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

-18.6MiB live, 19.2MiB allocated

Counts

15 → 3

Calls

Call 1

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

7.0ms	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
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 15 to 10 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

4.0ms	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
97.7%	3	`x`
97.7%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

9 → 3

Calls

Call 1

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

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:

3.0ms	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
97.5%	3	`x`
97.5%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes34.0ms (0.3%)

Memory

-28.3MiB live, 14.0MiB allocated

Counts

8 → 3

Calls

Call 1

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

Calls

2 calls:

31.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
3.0ms	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 15 to 10 computations (33.3% saved)

regimes5.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
(copysign.f64 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* 1/2 (/ (* x x) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #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)))) (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 (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 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 x (fabs.f64 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
80.2%	2	`x`
80.2%	2	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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
64.1%	1	`x`
64.1%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes3.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

Outputs

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

Calls

2 calls:

2.0ms	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
12.2%	2	`x`
12.2%	2	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes3.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

(copysign.f64 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* 1/2 (/ (* x x) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 (*.f64 x x) #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
6.2%	1	`x`
6.2%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.399908656999623	20.34943197908678
0.0ms	-21.497461419120945	-6.546685209082954

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.399908656999623	20.34943197908678
0.0ms	-21.497461419120945	-6.546685209082954

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0033912999444382385	1.4168440923974217
0.0ms	-3.8320308167184187	-0.15547082865126052

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0033912999444382385	1.4168440923974217
0.0ms	-3.8320308167184187	-0.15547082865126052

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0033912999444382385	1.4168440923974217
0.0ms	-3.8320308167184187	-0.15547082865126052

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0033912999444382385	1.4168440923974217
0.0ms	-3.8320308167184187	-0.15547082865126052

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0033912999444382385	1.4168440923974217
0.0ms	-3.8320308167184187	-0.15547082865126052

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0033912999444382385	1.4168440923974217
0.0ms	-3.8320308167184187	-0.15547082865126052

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0033912999444382385	1.4168440923974217
0.0ms	-3.8320308167184187	-0.15547082865126052

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0033912999444382385	1.4168440923974217

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0033912999444382385	1.4168440923974217

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify31.0ms (0.3%)

Memory

-17.3MiB live, 21.0MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`+-commutative_binary64`
22×	`*-commutative_binary64`
16×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	1109
1	180	1109
2	192	1109
3	198	1109
4	201	1109

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -20 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 10 binary64)) (copysign.f64 (-.f64 (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x x))) (log.f64 (/.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.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))) (+.f64 x (fabs.f64 x)))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -20 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 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 (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)))))) x) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -2 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) 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 5764607523034235/1152921504606846976 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 45 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 30 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -2 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) 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 5764607523034235/1152921504606846976 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -2 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) 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 5764607523034235/1152921504606846976 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -2 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 5764607523034235/1152921504606846976 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -2 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 5764607523034235/1152921504606846976 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -2 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 5764607523034235/1152921504606846976 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -2 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 5764607523034235/1152921504606846976 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 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 5764607523034235/1152921504606846976 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 x (fabs.f64 x)))) x))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 5764607523034235/1152921504606846976 binary64)) (copysign.f64 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ ( x x) 1)))) 1))) #s(approx (+ (* 1/2 (/ (* x x) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #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)))) (log.f64 x)) x))
(copysign.f64 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* 1/2 (/ (* x x) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #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 -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 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x x))) (log.f64 (/.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.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))) (+.f64 x (fabs.f64 x)))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -20 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 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 (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)))))) x) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 x (fabs.f64 x)))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -2 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) 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 5764607523034235/1152921504606846976 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 45 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 30 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -2 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) 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 5764607523034235/1152921504606846976 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 45 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 30 binary64)) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -2 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) 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 5764607523034235/1152921504606846976 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -2 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) 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 5764607523034235/1152921504606846976 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 x (.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -2 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) 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 5764607523034235/1152921504606846976 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -2 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) 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 5764607523034235/1152921504606846976 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -2 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 5764607523034235/1152921504606846976 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -2 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 5764607523034235/1152921504606846976 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -2 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 5764607523034235/1152921504606846976 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -2 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 5764607523034235/1152921504606846976 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -2 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 5764607523034235/1152921504606846976 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 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 5764607523034235/1152921504606846976 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 x (fabs.f64 x)))) x))
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x)
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 5764607523034235/1152921504606846976 binary64)) (copysign.f64 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ ( x x) 1)))) 1))) #s(approx (+ (* 1/2 (/ (* x x) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #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)))) (log.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 5764607523034235/1152921504606846976 binary64)) (copysign.f64 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ ( x x) 1)))) 1))) #s(approx (+ (* 1/2 (/ (* x x) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x))
(copysign.f64 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* 1/2 (/ (* x x) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
(copysign.f64 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* 1/2 (/ (* x x) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x)

soundness1.7s (14.4%)

Memory

11.1MiB live, 1 128.5MiB allocated

Rules

24 610×	`lower-fma.f64`
24 610×	`lower-fma.f32`
12 260×	`lower-fma.f64`
12 260×	`lower-fma.f32`
10 100×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	758
1	490	730
2	1511	717
3	5413	667
0	8421	611
0	36	362
0	63	476
1	212	283
2	1622	283
0	8456	283
0	715	12256
1	2381	10742
0	8813	9868
0	810	9430
1	2617	8840
0	8885	8080
0	9	42
0	16	42
1	51	42
2	324	42
3	3419	42
0	8352	37

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

Compiler

Compiled 1 114 to 311 computations (72.1% saved)

preprocess219.0ms (1.8%)

Memory: -11.7MiB live, 310.8MiB allocated
Compiler: Compiled 1 670 to 276 computations (83.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample740.0ms (6.1%)

explain262.0ms (2.2%)

preprocess13.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize74.0ms (0.6%)

series10.0ms (0.1%)

simplify383.0ms (3.2%)

rewrite229.0ms (1.9%)

eval171.0ms (1.4%)

prune210.0ms (1.7%)

simplify98.0ms (0.8%)

localize382.0ms (3.2%)

series99.0ms (0.8%)

simplify449.0ms (3.7%)

rewrite528.0ms (4.4%)

eval505.0ms (4.2%)

prune478.0ms (3.9%)

simplify335.0ms (2.8%)

localize453.0ms (3.7%)

series105.0ms (0.9%)

simplify625.0ms (5.2%)

rewrite458.0ms (3.8%)

eval436.0ms (3.6%)

prune375.0ms (3.1%)

simplify625.0ms (5.2%)

localize401.0ms (3.3%)

series48.0ms (0.4%)

simplify395.0ms (3.3%)

rewrite369.0ms (3%)

eval406.0ms (3.4%)

prune262.0ms (2.2%)

regimes41.0ms (0.3%)

regimes17.0ms (0.1%)

regimes16.0ms (0.1%)

regimes15.0ms (0.1%)

regimes12.0ms (0.1%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes34.0ms (0.3%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify31.0ms (0.3%)

soundness1.7s (14.4%)

preprocess219.0ms (1.8%)

end0.0ms (0%)

Profiling