Metrics for Rust f64::asinh

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 4 to 4 computations (0% saved)

sample549.0ms (5%)

Memory

-21.9MiB live, 632.4MiB allocated

Samples

373.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-asinh: 104.0ms (92.4% of total)

ival-true: 6.0ms (5.3% of total)

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

Bogosity

preprocess14.0ms (0.1%)

Memory

25.3MiB live, 25.3MiB 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)

explain280.0ms (2.6%)

Memory

-18.9MiB live, 387.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
140	-	-	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
62	-	-	`(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	140	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	62	0
↳	`(*.f64 x x)`	overflow	62
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	62

Confusion

	Predicted +	Predicted -
+	202	0
-	0	54

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	202	0	0
-	0	0	54

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	54
1	202

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

88.0ms	122×	2	valid
53.0ms	240×	0	valid
37.0ms	150×	1	valid

Compiler

Compiled 128 to 40 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 154.0ms

ival-log: 53.0ms (34.4% of total)

ival-hypot: 40.0ms (26% of total)

ival-mult: 35.0ms (22.7% of total)

ival-copysign: 8.0ms (5.2% of total)

adjust: 7.0ms (4.5% of total)

ival-add: 7.0ms (4.5% of total)

ival-fabs: 3.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.0%	(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

9.6MiB live, 9.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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 (0.7%)

Memory

-3.7MiB live, 151.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	77.4%	(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
✓	accuracy	49.4%	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Samples

33.0ms	61×	2	valid
18.0ms	75×	1	valid
11.0ms	120×	0	valid

Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-log: 21.0ms (42.9% of total)

ival-hypot: 12.0ms (24.5% of total)

ival-copysign: 4.0ms (8.2% of total)

adjust: 4.0ms (8.2% of total)

ival-add: 3.0ms (6.1% of total)

ival-fabs: 3.0ms (6.1% of total)

ival-mult: 2.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated

Counts

7 → 84

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 (.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (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>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor inf x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor inf x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor inf x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor inf x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor -inf x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor -inf x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor -inf x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (fabs x) (taylor -inf x) (#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())

Calls

21 calls:

Time	Variable		Point	Expression
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))))
0.0ms	x	@	inf	(+ (* x x) 1)

rewrite361.0ms (3.3%)

Memory

-6.3MiB live, 616.2MiB allocated

Algorithm

1×	batch-egg-rewrite

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	47
0	16	47
1	51	47
2	324	47
3	3419	47
0	8352	42

Stop Event

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

Counts

7 → 304

Calls

Call 1

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

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

simplify922.0ms (8.5%)

Memory

-12.8MiB live, 848.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	818
1	490	790
2	1511	777
3	5413	727
0	8421	671

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 82

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)))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

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

eval59.0ms (0.5%)

Memory: 18.9MiB live, 134.8MiB allocated
Compiler: Compiled 10 756 to 1 745 computations (83.8% saved)

prune57.0ms (0.5%)

Memory

-27.2MiB live, 132.1MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	377	9	386
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	378	9	387

Accuracy

100.0%

Counts

387 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.8%	(copysign.f64 (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)
	56.5%	(copysign.f64 (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)
▶	68.3%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
▶	23.7%	(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
▶	26.0%	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
	4.3%	(copysign.f64 (log.f64 (+.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)))) x)
	8.9%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x)
	26.7%	(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
▶	9.3%	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 242 to 148 computations (38.8% saved)

simplify62.0ms (0.6%)

Memory

29.3MiB live, 66.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

752×	`lower-fma.f32`
748×	`lower-fma.f64`
536×	`lower-*.f32`
534×	`lower-*.f64`
416×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	127
0	40	127
1	53	127
2	65	127
3	78	127
4	92	127
5	122	127
6	154	127
7	211	127
8	312	127
9	419	127
10	841	127
11	1480	127
12	1685	127
13	1732	127
14	1772	127
15	1798	127
16	1801	127
0	1801	127

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize93.0ms (0.9%)

Memory

-23.3MiB live, 132.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (fabs.f64 x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(log1p.f64 (fabs.f64 x))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
✓	accuracy	100.0%	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
✓	accuracy	100.0%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
✓	accuracy	100.0%	(-.f64 (fabs.f64 x) x)
✓	accuracy	100.0%	(log.f64 (-.f64 (fabs.f64 x) x))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(copysign.f64 (log.f64 x) x)
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	100.0%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
✓	accuracy	100.0%	(log1p.f64 (fabs.f64 x))
✓	accuracy	100.0%	(fabs.f64 x)

Samples

56.0ms

256×

invalid

Compiler

Compiled 146 to 24 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-copysign: 15.0ms (35.4% of total)

ival-log: 8.0ms (18.9% of total)

ival-add: 5.0ms (11.8% of total)

ival-hypot: 4.0ms (9.4% of total)

ival-mult: 3.0ms (7.1% of total)

ival-log1p: 3.0ms (7.1% of total)

ival-div: 2.0ms (4.7% of total)

ival-fabs: 2.0ms (4.7% of total)

ival-sub: 1.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series167.0ms (1.5%)

Memory

28.9MiB live, 150.8MiB allocated

Counts

17 → 204

Calls

Call 1

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

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

Calls

51 calls:

Time	Variable		Point	Expression
57.0ms	x	@	inf	(log (+ 1 (fabs x)))
38.0ms	x	@	0	(log x)
26.0ms	x	@	0	(log (+ 1 (fabs x)))
14.0ms	x	@	-inf	(log (+ 1 (fabs x)))
14.0ms	x	@	-inf	(log x)

rewrite492.0ms (4.5%)

Memory

-24.1MiB live, 568.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 444×	`lower-fma.f32`
9 440×	`lower-fma.f64`
4 980×	`lower-*.f32`
4 978×	`lower-*.f64`
3 034×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	106
0	40	106
1	119	106
2	800	97
0	8846	97

Stop Event

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

Counts

17 → 366

Calls

Call 1

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

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

simplify568.0ms (5.2%)

Memory

39.3MiB live, 783.2MiB allocated

Algorithm

1×	egg-herbie

Rules

16 176×	`lower-fma.f64`
16 176×	`lower-fma.f32`
4 940×	`lower-*.f64`
4 940×	`lower-*.f32`
2 358×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	235	1833
1	632	1782
2	1936	1737
3	6836	1672
0	8437	1512

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 202

Calls

Call 1

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

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

eval191.0ms (1.8%)

Memory: 9.9MiB live, 207.4MiB allocated
Compiler: Compiled 14 224 to 1 760 computations (87.6% saved)

prune117.0ms (1.1%)

Memory

-15.4MiB live, 144.1MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	662	4	666
Fresh	2	2	4
Picked	0	5	5
Done	0	0	0
Total	664	11	675

Accuracy

100.0%

Counts

675 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.8%	(copysign.f64 (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)
▶	56.5%	(copysign.f64 (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)
▶	6.1%	(copysign.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
▶	5.9%	(copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x)
✓	68.3%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
✓	23.7%	(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
	4.3%	(copysign.f64 (log.f64 (+.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fabs.f64 x))) x)
▶	8.9%	(copysign.f64 (log.f64 (+.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fabs.f64 x))) x)
✓	26.0%	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
▶	26.7%	(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
✓	9.3%	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 247 to 154 computations (37.7% saved)

simplify674.0ms (6.2%)

Memory

3.3MiB live, 734.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	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	(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))
✓	cost-diff	0	(copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x)
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fabs.f64 x))
✓	cost-diff	0	(copysign.f64 (log.f64 (+.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fabs.f64 x))) x)
✓	cost-diff	192	(log.f64 (+.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fabs.f64 x)))
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(+.f64 x (fabs.f64 x))
✓	cost-diff	0	(log.f64 (+.f64 x (fabs.f64 x)))
✓	cost-diff	0	(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
✓	cost-diff	0	(copysign.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
✓	cost-diff	0	(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)))
✓	cost-diff	0	(copysign.f64 (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)
✓	cost-diff	320	(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))))
✓	cost-diff	1024	(.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)))))

Rules

24 236×	`lower-fma.f32`
24 228×	`lower-fma.f64`
3 554×	`lower-*.f32`
3 544×	`lower-*.f64`
2 374×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	335
0	67	335
1	111	335
2	240	335
3	711	316
4	1885	316
5	2884	316
6	5104	316
7	6322	316
8	6530	316
9	6755	316
0	8214	308

Stop Event

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

Calls

Call 1

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

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

localize299.0ms (2.7%)

Memory

-5.6MiB live, 401.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	89.1%	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
✓	accuracy	77.4%	(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
✓	accuracy	70.2%	(log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
✓	accuracy	100.0%	(+.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fabs.f64 x))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	58.9%	(log.f64 (+.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fabs.f64 x)))
✓	accuracy	100.0%	(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
✓	accuracy	100.0%	(+.f64 x (fabs.f64 x))
✓	accuracy	100.0%	(log.f64 (+.f64 x (fabs.f64 x)))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	89.0%	(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
✓	accuracy	100.0%	(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)))
✓	accuracy	99.8%	(.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)))))
✓	accuracy	99.8%	(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))))
✓	accuracy	89.0%	(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))

Samples

92.0ms	43×	2	valid
60.0ms	87×	1	valid
57.0ms	112×	0	invalid
11.0ms	11×	3	valid
1.0ms	3×	0	valid

Compiler

Compiled 359 to 39 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 190.0ms

ival-hypot: 34.0ms (17.9% of total)

ival-log: 33.0ms (17.4% of total)

ival-copysign: 32.0ms (16.9% of total)

ival-sub: 20.0ms (10.6% of total)

ival-mult: 16.0ms (8.4% of total)

ival-add: 15.0ms (7.9% of total)

adjust: 14.0ms (7.4% of total)

ival-div: 10.0ms (5.3% of total)

const: 5.0ms (2.6% of total)

ival-log1p: 3.0ms (1.6% of total)

ival-fabs: 3.0ms (1.6% of total)

ival-neg: 2.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series72.0ms (0.7%)

Memory

-16.7MiB live, 56.3MiB allocated

Counts

23 → 276

Calls

Call 1

Inputs
#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())
#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())
#s(alt (copysign.f64 (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) (patch (copysign.f64 (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) #<representation binary64>) () ())
#s(alt (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))) (patch (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))) #<representation binary64>) () ())
#s(alt (copysign.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) (patch (copysign.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x #s(literal 1/2 binary64))) (patch (.f64 x (.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/2 binary64)) (patch (.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x) (patch (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x) #<representation binary64>) () ())
#s(alt (log.f64 (+.f64 x (fabs.f64 x))) (patch (log.f64 (+.f64 x (fabs.f64 x))) #<representation binary64>) () ())
#s(alt (+.f64 x (fabs.f64 x)) (patch (+.f64 x (fabs.f64 x)) #<representation binary64>) () ())
#s(alt (fabs.f64 x) (patch (fabs.f64 x) #<representation binary64>) () ())
#s(alt (log.f64 (+.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fabs.f64 x))) (patch (log.f64 (+.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fabs.f64 x))) #<representation binary64>) () ())
#s(alt (copysign.f64 (log.f64 (+.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fabs.f64 x))) x) (patch (copysign.f64 (log.f64 (+.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fabs.f64 x))) x) #<representation binary64>) () ())
#s(alt (+.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fabs.f64 x)) (patch (+.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fabs.f64 x)) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x) (patch (copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) (patch (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) #<representation binary64>) () ())
#s(alt (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (patch (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) #<representation binary64>) () ())
#s(alt (-.f64 (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 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())
#s(alt (.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))))) (patch (.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))))) #<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 (* 1/2 (/ x (+ 1 (fabs x)))) (taylor 0 x) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (taylor 0 x) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (taylor 0 x) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (taylor 0 x) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* -1/24 (/ (* (pow x 3) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (taylor inf x) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) (taylor inf x) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))) (taylor -inf x) (#s(alt (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (patch (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x))))) (taylor -inf x) (#s(alt (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (patch (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (+ 1 (fabs x))) (taylor 0 x) (#s(alt (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (+ 1 (fabs x))) (taylor 0 x) (#s(alt (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (+ 1 (fabs x))) (taylor 0 x) (#s(alt (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (+ 1 (fabs x))) (taylor 0 x) (#s(alt (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (+ 1 (fabs x))) (taylor inf x) (#s(alt (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (+ 1 (fabs x))) (taylor inf x) (#s(alt (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (+ 1 (fabs x))) (taylor inf x) (#s(alt (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (+ 1 (fabs x))) (taylor inf x) (#s(alt (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (+ 1 (fabs x))) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (+ 1 (fabs x))) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (+ 1 (fabs x))) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (+ 1 (fabs x))) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) (taylor 0 x) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) (taylor 0 x) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) (taylor 0 x) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) (taylor 0 x) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) (taylor inf x) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) (taylor inf x) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) (taylor inf x) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) (taylor inf x) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) (taylor -inf x) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) (taylor -inf x) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) (taylor -inf x) (#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) (taylor -inf x) (#s(alt (.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))))) (patch (.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))))) #<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

69 calls:

Time	Variable		Point	Expression
26.0ms	x	@	inf	(* x (+ (* -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x)))))
2.0ms	x	@	-inf	(* x (+ (* -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x)))))
1.0ms	x	@	0	(* x (+ (* -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x)))))
1.0ms	x	@	inf	(neg (log (- (sqrt (+ (* x x) 1)) (fabs x))))
1.0ms	x	@	0	(neg (log (- (sqrt (+ (* x x) 1)) (fabs x))))

rewrite373.0ms (3.4%)

Memory

24.3MiB live, 802.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 844×	`lower-/.f32`
4 836×	`lower-/.f64`
4 258×	`lower-*.f32`
4 248×	`lower-*.f64`
3 862×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	272
0	67	272
1	241	272
2	1970	272
0	8387	268

Stop Event

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

Counts

23 → 897

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 x (.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) #s(literal -1/24 binary64)))))
(+.f64 (.f64 x (.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) #s(literal -1/24 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
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(fma.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 x (.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) #s(literal -1/24 binary64)))))
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(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 x (neg.f64 x)))) (neg.f64 (+.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 x x))))
(/.f64 (neg.f64 (.f64 (.f64 x (neg.f64 x)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (neg.f64 (+.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 27 binary64) (/.f64 #s(literal 27 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 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (neg.f64 (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 9 binary64) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (neg.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (.f64 x x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) #s(literal -1 binary64))
(.f64 x (.f64 (/.f64 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 (.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (+.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 (.f64 x x) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
(.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 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
(.f64 (.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
(.f64 (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)))
(.f64 (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (/.f64 x (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)))))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(.f64 (/.f64 (.f64 x x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)))))
(.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (/.f64 (.f64 x (neg.f64 x)) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
(.f64 (/.f64 (+.f64 #s(literal 27 binary64) (/.f64 #s(literal 27 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 binary64) (fabs.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (/.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 9 binary64) (.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)))))
(.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) #s(literal -1 binary64)) (/.f64 (.f64 x (neg.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 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 (fma.f64 x (.f64 x (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 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 (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.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) (-.f64 (.f64 x (.f64 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 (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (-.f64 #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 x (.f64 x (.f64 x x))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))
(/.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 x (.f64 x (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)))) (neg.f64 (sqrt.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 (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 (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 1/2 binary64)))
(.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 x (.f64 x (.f64 x x)) (-.f64 #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)))))

simplify490.0ms (4.5%)

Memory

-17.2MiB live, 672.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 958×	`lower-fma.f64`
12 958×	`lower-fma.f32`
6 142×	`lower-*.f64`
6 142×	`lower-*.f32`
4 376×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	363	4151
1	1090	4041
2	3421	3971
0	8116	3675

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 272

Calls

Call 1

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

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

eval346.0ms (3.2%)

Memory: 20.2MiB live, 342.5MiB allocated
Compiler: Compiled 52 735 to 5 600 computations (89.4% saved)

prune264.0ms (2.4%)

Memory

10.2MiB live, 212.4MiB allocated

Pruning

23 alts after pruning (15 fresh and 8 done)

	Pruned	Kept	Total
New	1 302	14	1 316
Fresh	0	1	1
Picked	1	4	5
Done	1	4	5
Total	1 304	23	1 327

Accuracy

100.0%

Counts

1 327 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.5%	(copysign.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 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)
	54.9%	(copysign.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal -1 binary64))))) (neg.f64 (log1p.f64 (neg.f64 (fabs.f64 x))))) x)
✓	6.1%	(copysign.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
	6.1%	(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 x (.f64 x #s(literal 1/2 binary64))))) x)
▶	5.1%	(copysign.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))) x)
	4.9%	(copysign.f64 (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))))) x)
	5.3%	(copysign.f64 (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
	6.2%	(copysign.f64 (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)
▶	4.8%	(copysign.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))))) x)
	5.1%	(copysign.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
	3.3%	(copysign.f64 (.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 x (fabs.f64 x) x)))) (.f64 (.f64 x x) (*.f64 x x))) x)
▶	6.1%	(copysign.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
	4.4%	(copysign.f64 (neg.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
▶	8.9%	(copysign.f64 (neg.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
✓	5.9%	(copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x)
▶	59.3%	(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
✓	68.3%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
✓	23.7%	(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
	4.3%	(copysign.f64 (log.f64 (+.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fabs.f64 x))) x)
✓	8.9%	(copysign.f64 (log.f64 (+.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fabs.f64 x))) x)
✓	26.0%	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
✓	26.7%	(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
✓	9.3%	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 732 to 436 computations (40.4% saved)

simplify410.0ms (3.8%)

Memory

-43.2MiB live, 208.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))
✓	cost-diff	0	(neg.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))
✓	cost-diff	0	(copysign.f64 (neg.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
✓	cost-diff	64	(log.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)))))
✓	cost-diff	0	(copysign.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))))) x)
✓	cost-diff	1088	(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)))
✓	cost-diff	0	(copysign.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))) x)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
✓	cost-diff	0	(copysign.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))
✓	cost-diff	0	(log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))
✓	cost-diff	0	(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)

Rules

9 126×	`lower-fma.f32`
9 118×	`lower-fma.f64`
4 436×	`lower-*.f32`
4 424×	`lower-*.f64`
1 596×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	315
0	60	303
1	107	301
2	222	301
3	751	301
4	1915	301
5	3361	301
6	5761	301
0	8060	298

Stop Event

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

Calls

Call 1

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

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

localize289.0ms (2.7%)

Memory

36.0MiB live, 429.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))
✓	accuracy	26.0%	(log.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x x) #s(literal 1 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)))
✓	accuracy	66.0%	(.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)))))
✓	accuracy	100.0%	(-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x x) #s(literal 1 binary64))
✓	accuracy	77.3%	(.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)))
✓	accuracy	69.0%	(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
✓	accuracy	77.3%	(.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
✓	accuracy	100.0%	(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	76.5%	(log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))

Samples

98.0ms	76×	1	valid
97.0ms	60×	2	valid
31.0ms	120×	0	valid

Compiler

Compiled 346 to 34 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 173.0ms

ival-log: 71.0ms (41.1% of total)

ival-div: 44.0ms (25.5% of total)

ival-mult: 14.0ms (8.1% of total)

ival-copysign: 13.0ms (7.5% of total)

adjust: 11.0ms (6.4% of total)

ival-add: 8.0ms (4.6% of total)

ival-sub: 4.0ms (2.3% of total)

ival-log1p: 3.0ms (1.7% of total)

ival-neg: 2.0ms (1.2% of total)

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

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory

-26.9MiB live, 48.9MiB allocated

Counts

24 → 288

Calls

Call 1

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

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

Calls

72 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(copysign (* (/ (* x (* x 1/2)) (+ (* x (* x x)) 1)) (- (+ (* x x) 1) (fabs x))) x)
1.0ms	x	@	inf	(log (+ (* 1/2 (* x x)) (- 1 (fabs x))))
1.0ms	x	@	-inf	(log (+ (* 1/2 (* x x)) (- 1 (fabs x))))
0.0ms	x	@	inf	(/ 1 (- (+ (* x x) 1) (fabs x)))
0.0ms	x	@	0	(log (+ (* 1/2 (* x x)) (- 1 (fabs x))))

rewrite508.0ms (4.7%)

Memory

22.1MiB live, 902.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 088×	`lower-/.f32`
5 078×	`lower-/.f64`
4 874×	`lower-*.f32`
4 862×	`lower-*.f64`
4 618×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	252
0	60	205
1	232	203
2	1847	203
0	8907	203

Stop Event

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

Counts

24 → 1 651

Calls

Call 1

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

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

simplify474.0ms (4.4%)

Memory

-5.1MiB live, 701.3MiB allocated

Algorithm

1×	egg-herbie

Rules

15 842×	`lower-fma.f64`
15 842×	`lower-fma.f32`
6 074×	`lower-*.f64`
6 074×	`lower-*.f32`
5 084×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	309	3839
1	889	3802
2	2786	3757
0	8677	3534

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (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) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log 1/2) (* -2 (log (/ 1 x))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
(+ (log 1/2) (* -2 (log (/ -1 x))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
(fabs x)
(+ (fabs x) (* 1/2 (pow x 2)))
(+ (fabs x) (* 1/2 (pow x 2)))
(+ (fabs x) (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (+ 1 (pow x 3)))) x)
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (+ 1 (pow x 3)))) x)
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (+ 1 (pow x 3)))) x)
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (+ 1 (pow x 3)))) x)
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (+ 1 (pow x 3)))) x)
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (+ 1 (pow x 3)))) x)
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (+ 1 (pow x 3)))) x)
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (+ 1 (pow x 3)))) x)
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (- 1 (* -1 (pow x 3))))) x)
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (- 1 (* -1 (pow x 3))))) x)
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (- 1 (* -1 (pow x 3))))) x)
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (- 1 (* -1 (pow x 3))))) x)
(* 1/2 (* (pow x 2) (- 1 (fabs x))))
(* (pow x 2) (+ (* 1/2 (- 1 (fabs x))) (* 1/2 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (- 1 (fabs x))) (* (pow x 2) (+ 1/2 (* 1/2 (* x (- (fabs x) 1)))))))
(* (pow x 2) (+ (* 1/2 (- 1 (fabs x))) (* (pow x 2) (+ 1/2 (* x (+ (* -1/2 (pow x 2)) (* 1/2 (- (fabs x) 1))))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (/ (- 1 (fabs x)) (pow x 2)))))
(* x (- (+ 1/2 (* 1/2 (/ (- 1 (fabs x)) (pow x 2)))) (/ 1/2 (pow x 3))))
(* x (- (+ 1/2 (+ (* 1/2 (/ (- 1 (fabs x)) (pow x 2))) (* 1/2 (/ (- (fabs x) 1) (pow x 5))))) (/ 1/2 (pow x 3))))
(* 1/2 x)
(* -1 (* x (- (* -1/2 (/ (- 1 (fabs x)) (pow x 2))) 1/2)))
(* -1 (* x (- (+ (* -1/2 (/ (- 1 (fabs x)) (pow x 2))) (/ 1/2 (pow x 3))) 1/2)))
(* -1 (* x (- (+ (* -1 (/ (- (* 1/2 (/ (- (fabs x) 1) (pow x 2))) 1/2) (pow x 3))) (* -1/2 (/ (- 1 (fabs x)) (pow x 2)))) 1/2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/2 (pow x 3))))
(* (pow x 2) (+ 1/2 (* (pow x 3) (- (* 1/2 (pow x 3)) 1/2))))
(* (pow x 2) (+ 1/2 (* (pow x 3) (- (* (pow x 3) (+ 1/2 (* -1/2 (pow x 3)))) 1/2))))
(/ 1/2 x)
(/ (- 1/2 (* 1/2 (/ 1 (pow x 3)))) x)
(/ (- (+ 1/2 (/ 1/2 (pow x 6))) (* 1/2 (/ 1 (pow x 3)))) x)
(/ (- (+ 1/2 (/ 1/2 (pow x 6))) (+ (* 1/2 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 9))))) x)
(/ 1/2 x)
(* -1 (/ (- (* 1/2 (/ 1 (pow x 3))) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 (pow x 3))) 1/2) (pow x 3))) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 (pow x 3))) 1/2) (pow x 3))) 1/2) (pow x 3))) 1/2) x))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1 (fabs x)))
(* (pow x 2) (- (+ 1 (pow x 2)) (fabs x)))
(* (pow x 2) (- (+ 1 (pow x 2)) (fabs x)))
(* (pow x 2) (- (+ 1 (pow x 2)) (fabs x)))
(pow x 4)
(* (pow x 4) (- (+ 1 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2))))
(* (pow x 4) (- (+ 1 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2))))
(* (pow x 4) (- (+ 1 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2))))
(pow x 4)
(* (pow x 4) (- (+ 1 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2))))
(* (pow x 4) (- (+ 1 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2))))
(* (pow x 4) (- (+ 1 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2))))
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (+ 1 (pow x 3)))) x)
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (+ 1 (pow x 3)))) x)
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (+ 1 (pow x 3)))) x)
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (+ 1 (pow x 3)))) x)
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (+ 1 (pow x 3)))) x)
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (+ 1 (pow x 3)))) x)
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (+ 1 (pow x 3)))) x)
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (+ 1 (pow x 3)))) x)
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (- 1 (* -1 (pow x 3))))) x)
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (- 1 (* -1 (pow x 3))))) x)
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (- 1 (* -1 (pow x 3))))) x)
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (- 1 (* -1 (pow x 3))))) x)
(* 1/2 (* (pow x 2) (- 1 (fabs x))))
(* (pow x 2) (+ (* 1/2 (- 1 (fabs x))) (* 1/2 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (- 1 (fabs x))) (* (pow x 2) (+ 1/2 (* 1/2 (* x (- (fabs x) 1)))))))
(* (pow x 2) (+ (* 1/2 (- 1 (fabs x))) (* (pow x 2) (+ 1/2 (* x (+ (* -1/2 (pow x 2)) (* 1/2 (- (fabs x) 1))))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (/ (- 1 (fabs x)) (pow x 2)))))
(* x (- (+ 1/2 (* 1/2 (/ (- 1 (fabs x)) (pow x 2)))) (/ 1/2 (pow x 3))))
(* x (- (+ 1/2 (+ (* 1/2 (/ (- 1 (fabs x)) (pow x 2))) (* 1/2 (/ (- (fabs x) 1) (pow x 5))))) (/ 1/2 (pow x 3))))
(* 1/2 x)
(* -1 (* x (- (* -1/2 (/ (- 1 (fabs x)) (pow x 2))) 1/2)))
(* -1 (* x (- (+ (* -1/2 (/ (- 1 (fabs x)) (pow x 2))) (/ 1/2 (pow x 3))) 1/2)))
(* -1 (* x (- (+ (* -1 (/ (- (* 1/2 (/ (- (fabs x) 1) (pow x 2))) 1/2) (pow x 3))) (* -1/2 (/ (- 1 (fabs x)) (pow x 2)))) 1/2)))
1/2
(+ 1/2 (* -1/2 (pow x 3)))
(+ 1/2 (* (pow x 3) (- (* 1/2 (pow x 3)) 1/2)))
(+ 1/2 (* (pow x 3) (- (* (pow x 3) (+ 1/2 (* -1/2 (pow x 3)))) 1/2)))
(/ 1/2 (pow x 3))
(/ (- 1/2 (* 1/2 (/ 1 (pow x 3)))) (pow x 3))
(/ (- (+ 1/2 (/ 1/2 (pow x 6))) (* 1/2 (/ 1 (pow x 3)))) (pow x 3))
(/ (- (+ 1/2 (/ 1/2 (pow x 6))) (+ (* 1/2 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 9))))) (pow x 3))
(/ 1/2 (pow x 3))
(* -1 (/ (- (* 1/2 (/ 1 (pow x 3))) 1/2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 (pow x 3))) 1/2) (pow x 3))) 1/2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 (pow x 3))) 1/2) (pow x 3))) 1/2) (pow x 3))) 1/2) (pow x 3)))
(log (- 1 (fabs x)))
(+ (log (- 1 (fabs x))) (* 1/2 (/ (pow x 2) (- 1 (fabs x)))))
(+ (log (- 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (- 1 (fabs x)) 2))) (* 1/2 (/ 1 (- 1 (fabs x)))))))
(+ (log (- 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (- 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))))) (* 1/2 (/ 1 (- 1 (fabs x)))))))
(+ (log 1/2) (* -2 (log (/ 1 x))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (- 1 (fabs x)) (pow x 2)))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (- 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (- 1 (fabs x)) (pow x 2))))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (- 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (- 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (- 1 (fabs x)) 3) (pow x 6)))))))
(+ (log 1/2) (* -2 (log (/ -1 x))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (- 1 (fabs x)) (pow x 2)))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (- 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (- 1 (fabs x)) (pow x 2))))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (- 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (- 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (- 1 (fabs x)) 3) (pow x 6)))))))
(copysign (neg (log (- (+ 1 (* 1/2 (pow x 2))) (fabs x)))) x)
(copysign (neg (log (- (+ 1 (* 1/2 (pow x 2))) (fabs x)))) x)
(copysign (neg (log (- (+ 1 (* 1/2 (pow x 2))) (fabs x)))) x)
(copysign (neg (log (- (+ 1 (* 1/2 (pow x 2))) (fabs x)))) x)
(copysign (neg (log (- (+ 1 (* 1/2 (pow x 2))) (fabs x)))) x)
(copysign (neg (log (- (+ 1 (* 1/2 (pow x 2))) (fabs x)))) x)
(copysign (neg (log (- (+ 1 (* 1/2 (pow x 2))) (fabs x)))) x)
(copysign (neg (log (- (+ 1 (* 1/2 (pow x 2))) (fabs x)))) x)
(copysign (neg (log (- (+ 1 (* 1/2 (pow x 2))) (fabs x)))) x)
(copysign (neg (log (- (+ 1 (* 1/2 (pow x 2))) (fabs x)))) x)
(copysign (neg (log (- (+ 1 (* 1/2 (pow x 2))) (fabs x)))) x)
(copysign (neg (log (- (+ 1 (* 1/2 (pow x 2))) (fabs x)))) x)
(* -1 (log (- 1 (fabs x))))
(- (* -1/2 (/ (pow x 2) (- 1 (fabs x)))) (log (- 1 (fabs x))))
(- (* (pow x 2) (- (* 1/8 (/ (pow x 2) (pow (- 1 (fabs x)) 2))) (* 1/2 (/ 1 (- 1 (fabs x)))))) (log (- 1 (fabs x))))
(- (* (pow x 2) (- (* (pow x 2) (+ (* -1/24 (/ (pow x 2) (pow (- 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))))) (* 1/2 (/ 1 (- 1 (fabs x)))))) (log (- 1 (fabs x))))
(* -1 (+ (log 1/2) (* -2 (log (/ 1 x)))))
(- (* -2 (/ (- 1 (fabs x)) (pow x 2))) (+ (log 1/2) (* -2 (log (/ 1 x)))))
(- (* 2 (/ (pow (- 1 (fabs x)) 2) (pow x 4))) (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (- 1 (fabs x)) (pow x 2))))))
(- (* -8/3 (/ (pow (- 1 (fabs x)) 3) (pow x 6))) (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (- 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (- 1 (fabs x)) (pow x 2)))))))
(* -1 (+ (log 1/2) (* -2 (log (/ -1 x)))))
(- (* -2 (/ (- 1 (fabs x)) (pow x 2))) (+ (log 1/2) (* -2 (log (/ -1 x)))))
(- (* 2 (/ (pow (- 1 (fabs x)) 2) (pow x 4))) (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (- 1 (fabs x)) (pow x 2))))))
(- (* -8/3 (/ (pow (- 1 (fabs x)) 3) (pow x 6))) (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (- 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (- 1 (fabs x)) (pow x 2)))))))
(- 1 (fabs x))
(- (+ 1 (* 1/2 (pow x 2))) (fabs x))
(- (+ 1 (* 1/2 (pow x 2))) (fabs x))
(- (+ 1 (* 1/2 (pow x 2))) (fabs x))
(* 1/2 (pow x 2))
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2))))
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2))))
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2))))
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2))))
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
1
(+ 1 (pow x 3))
(+ 1 (pow x 3))
(+ 1 (pow x 3))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(- 1 (fabs x))
(- (+ 1 (pow x 2)) (fabs x))
(- (+ 1 (pow x 2)) (fabs x))
(- (+ 1 (pow x 2)) (fabs x))
(pow x 2)
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2))))
(pow x 2)
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2))))
(/ 1 (- 1 (fabs x)))
(+ (* -1 (/ (pow x 2) (pow (- 1 (fabs x)) 2))) (/ 1 (- 1 (fabs x))))
(+ (* (pow x 2) (- (/ (pow x 2) (pow (- 1 (fabs x)) 3)) (/ 1 (pow (- 1 (fabs x)) 2)))) (/ 1 (- 1 (fabs x))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (/ (pow x 2) (pow (- 1 (fabs x)) 4))) (/ 1 (pow (- 1 (fabs x)) 3)))) (/ 1 (pow (- 1 (fabs x)) 2)))) (/ 1 (- 1 (fabs x))))
(/ 1 (pow x 2))
(/ (- (+ 1 (/ (fabs x) (pow x 2))) (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (+ (* -1 (/ (* (- 1 (fabs x)) (- (fabs x) 1)) (pow x 4))) (/ (fabs x) (pow x 2)))) (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (+ (/ (fabs x) (pow x 2)) (/ (* (pow (- 1 (fabs x)) 2) (- (fabs x) 1)) (pow x 6)))) (+ (/ 1 (pow x 2)) (/ (* (- 1 (fabs x)) (- (fabs x) 1)) (pow x 4)))) (pow x 2))
(/ 1 (pow x 2))
(/ (- (+ 1 (/ (fabs x) (pow x 2))) (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (+ (* -1 (/ (* (- 1 (fabs x)) (- (fabs x) 1)) (pow x 4))) (/ (fabs x) (pow x 2)))) (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (+ (/ (fabs x) (pow x 2)) (/ (* (pow (- 1 (fabs x)) 2) (- (fabs x) 1)) (pow x 6)))) (+ (/ 1 (pow x 2)) (/ (* (- 1 (fabs x)) (- (fabs x) 1)) (pow x 4)))) (pow x 2))

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

eval371.0ms (3.4%)

Memory: 40.3MiB live, 582.7MiB allocated
Compiler: Compiled 75 200 to 5 357 computations (92.9% saved)

prune271.0ms (2.5%)

Memory

-28.5MiB live, 464.8MiB allocated

Pruning

22 alts after pruning (11 fresh and 11 done)

	Pruned	Kept	Total
New	2 431	6	2 437
Fresh	5	5	10
Picked	2	3	5
Done	0	8	8
Total	2 438	22	2 460

Accuracy

100.0%

Counts

2 460 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.5%	(copysign.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 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)
	54.9%	(copysign.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal -1 binary64))))) (neg.f64 (log1p.f64 (neg.f64 (fabs.f64 x))))) x)
✓	6.1%	(copysign.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
	6.1%	(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) x)
	6.0%	(copysign.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
	5.3%	(copysign.f64 (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
	5.8%	(copysign.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
	4.2%	(copysign.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))) x)
✓	6.1%	(copysign.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
	5.3%	(copysign.f64 (.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x)
	12.6%	(copysign.f64 (*.f64 x #s(literal 1/2 binary64)) x)
	4.4%	(copysign.f64 (neg.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
✓	8.9%	(copysign.f64 (neg.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
✓	5.9%	(copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x)
✓	59.3%	(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
✓	68.3%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
✓	23.7%	(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
	4.3%	(copysign.f64 (log.f64 (+.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fabs.f64 x))) x)
✓	8.9%	(copysign.f64 (log.f64 (+.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fabs.f64 x))) x)
✓	26.0%	(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
✓	26.7%	(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
✓	9.3%	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 903 to 364 computations (59.7% saved)

regimes22.0ms (0.2%)

Memory

0.9MiB live, 38.4MiB allocated

Counts

34 → 3

Calls

Call 1

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

Outputs

(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)

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

Calls

2 calls:

12.0ms	x
8.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
99.8%	3	`x`
99.8%	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)

regimes23.0ms (0.2%)

Memory

0.9MiB live, 36.7MiB allocated

Counts

31 → 3

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	x
7.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
99.6%	3	`x`
99.6%	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

30.0MiB live, 30.0MiB allocated

Counts

20 → 3

Calls

Call 1

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

Outputs
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 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
99.0%	3	`x`
99.0%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory

-15.6MiB live, 23.5MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.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)
6.0ms	x

Results

Accuracy	Segments	Branch
84.6%	2	`x`
84.6%	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)

regimes96.0ms (0.9%)

Memory

-23.3MiB live, 22.6MiB allocated

Counts

18 → 1

Calls

Call 1

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

Outputs
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)

Calls

2 calls:

90.0ms	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
68.3%	1	`x`
68.3%	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)

regimes11.0ms (0.1%)

Memory

22.5MiB live, 22.5MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs
(copysign.f64 (*.f64 x #s(literal 1/2 binary64)) x)
(copysign.f64 (log.f64 x) x)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
19.0%	2	`x`
19.0%	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)

regimes58.0ms (0.5%)

Memory

-23.6MiB live, 14.6MiB allocated

Accuracy

Total -6.8b remaining (-12.1%)

Threshold costs -6.8b (-12.1%)

Counts

16 → 1

Calls

Call 1

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

Outputs
(copysign.f64 (*.f64 x #s(literal 1/2 binary64)) x)

Calls

2 calls:

53.0ms	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
12.6%	1	`x`
12.6%	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

1.0MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.05732903498825153	43.06602558725531
0.0ms	-28.114533276909278	-0.000542924877055214

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	0.05732903498825153	43.06602558725531
0.0ms	-28.114533276909278	-0.000542924877055214

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	0.05732903498825153	43.06602558725531
0.0ms	-28.114533276909278	-0.000542924877055214

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.05732903498825153	43.06602558725531

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	0.05732903498825153	43.06602558725531

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify8.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	241
1	57	241
2	61	241
3	63	241
4	64	241

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 (-.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 3602879701896397/36028797018963968 binary64)) (copysign.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 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 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 (-.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 3602879701896397/36028797018963968 binary64)) (copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.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 (-.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 3602879701896397/36028797018963968 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.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 3602879701896397/36028797018963968 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x))
(copysign.f64 (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 3602879701896397/36028797018963968 binary64)) (copysign.f64 (.f64 x #s(literal 1/2 binary64)) x) (copysign.f64 (log.f64 x) x))
(copysign.f64 (*.f64 x #s(literal 1/2 binary64)) 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 (-.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 3602879701896397/36028797018963968 binary64)) (copysign.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1/8 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 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 (-.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 3602879701896397/36028797018963968 binary64)) (copysign.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal -1/8 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.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 (-.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 3602879701896397/36028797018963968 binary64)) (copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.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 (-.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 3602879701896397/36028797018963968 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.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 3602879701896397/36028797018963968 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x))
(copysign.f64 (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 3602879701896397/36028797018963968 binary64)) (copysign.f64 (.f64 x #s(literal 1/2 binary64)) x) (copysign.f64 (log.f64 x) x))
(copysign.f64 (*.f64 x #s(literal 1/2 binary64)) x)

soundness1.6s (14.7%)

Memory

32.8MiB live, 1 054.0MiB allocated

Rules

24 610×	`lower-fma.f64`
24 610×	`lower-fma.f32`
16 176×	`lower-fma.f64`
16 176×	`lower-fma.f32`
15 842×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	818
1	490	790
2	1511	777
3	5413	727
0	8421	671
0	309	3839
1	889	3802
2	2786	3757
0	8677	3534
0	9	47
0	16	47
1	51	47
2	324	47
3	3419	47
0	8352	42
0	363	4151
1	1090	4041
2	3421	3971
0	8116	3675
0	35	272
0	67	272
1	241	272
2	1970	272
0	8387	268
0	235	1833
1	632	1782
2	1936	1737
3	6836	1672
0	8437	1512

Stop Event

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

Compiler

Compiled 443 to 177 computations (60% saved)

preprocess156.0ms (1.4%)

Memory: -28.8MiB live, 245.4MiB allocated
Compiler: Compiled 552 to 132 computations (76.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample549.0ms (5%)

preprocess14.0ms (0.1%)

explain280.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize74.0ms (0.7%)

series7.0ms (0.1%)

rewrite361.0ms (3.3%)

simplify922.0ms (8.5%)

eval59.0ms (0.5%)

prune57.0ms (0.5%)

simplify62.0ms (0.6%)

localize93.0ms (0.9%)

series167.0ms (1.5%)

rewrite492.0ms (4.5%)

simplify568.0ms (5.2%)

eval191.0ms (1.8%)

prune117.0ms (1.1%)

simplify674.0ms (6.2%)

localize299.0ms (2.7%)

series72.0ms (0.7%)

rewrite373.0ms (3.4%)

simplify490.0ms (4.5%)

eval346.0ms (3.2%)

prune264.0ms (2.4%)

simplify410.0ms (3.8%)

localize289.0ms (2.7%)

series23.0ms (0.2%)

rewrite508.0ms (4.7%)

simplify474.0ms (4.4%)

eval371.0ms (3.4%)

prune271.0ms (2.5%)

regimes22.0ms (0.2%)

regimes23.0ms (0.2%)

regimes12.0ms (0.1%)

regimes14.0ms (0.1%)

regimes96.0ms (0.9%)

regimes11.0ms (0.1%)

regimes58.0ms (0.5%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness1.6s (14.7%)

preprocess156.0ms (1.4%)

end0.0ms (0%)

Profiling