Metrics for Rust f32::asinh

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.6%	0.4%	0%	0%	0%	0
100%	99.6%	0%	0.4%	0%	0%	0%	1

Compiler

Compiled 4 to 4 computations (0% saved)

sample562.0ms (6.9%)

Memory

-4.7MiB live, 471.0MiB allocated

Samples

400.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-asinh: 119.0ms (93.6% of total)

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

ival-assert: 3.0ms (2.4% of total)

Bogosity

explain220.0ms (2.7%)

Memory

-18.2MiB live, 138.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
120	-	1	(-0.02434084191918373)	`(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))`
58	-	0	-	`(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))`
0	-	0	-	`#s(literal 1 binary32)`
0	-	0	-	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`
0	-	0	-	`(*.f32 x x)`
0	-	0	-	`(+.f32 (*.f32 x x) #s(literal 1 binary32))`
0	-	0	-	`(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))`
0	-	0	-	`x`
0	-	0	-	`(fabs.f32 x)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f32`	`(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))`	sensitivity	118	2
`sqrt.f32`	`(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))`	oflow-rescue	58	0
↳	`(+.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	58
↳	`(*.f32 x x)`	overflow	58
`log.f32`	`(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))`	oflow-rescue	1	0
↳	`(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))`	overflow	1
↳	`(+.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	58
↳	`(*.f32 x x)`	overflow	58

Confusion

	Predicted +	Predicted -
+	176	1
-	0	79

Precision

1.0

Recall

0.9943502824858758

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	176	1	0
-	0	1	78

Precision?

0.9943820224719101

Recall?

1.0

Freqs

test

number	freq
0	80
1	175
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms	322×	0	valid
33.0ms	190×	1	valid

Compiler

Compiled 115 to 31 computations (73% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-log: 23.0ms (40% of total)

ival-hypot: 13.0ms (22.6% of total)

ival-add: 6.0ms (10.4% of total)

ival-copysign: 5.0ms (8.7% of total)

adjust: 3.0ms (5.2% of total)

ival-mult: 3.0ms (5.2% of total)

ival-fabs: 3.0ms (5.2% of total)

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

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

exact: 0.0ms (0% of total)

preprocess12.0ms (0.2%)

Memory

22.4MiB live, 22.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

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.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Outputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.8%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify4.0ms (0%)

Memory

8.5MiB live, 8.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
cost-diff	0	(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
cost-diff	0	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
cost-diff	64	(+.f32 (*.f32 x x) #s(literal 1 binary32))

Rules

8×	`lower-+.f64`
4×	`lift-+.f32`
4×	`lower-+.f32`
4×	`+-commutative`
2×	`lower-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.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
(fabs.f32 x)
x
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 x x)
#s(literal 1 binary32)

Outputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(fabs.f32 x)
x
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(fma.f32 x x #s(literal 1 binary32))
(*.f32 x x)
#s(literal 1 binary32)

localize62.0ms (0.8%)

Memory

-26.7MiB live, 46.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f32 (*.f32 x x) #s(literal 1 binary32))
accuracy	0.01953125	(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy	6.219494946483841	(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
accuracy	12.902297451089286	(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))

Samples

27.0ms	161×	0	valid
17.0ms	95×	1	valid

Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-add: 18.0ms (49.2% of total)

ival-hypot: 6.0ms (16.4% of total)

ival-log: 5.0ms (13.7% of total)

adjust: 2.0ms (5.5% of total)

ival-copysign: 2.0ms (5.5% of total)

ival-mult: 1.0ms (2.7% of total)

ival-fabs: 1.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#s(alt (+.f32 (.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())
#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (+.f32 (.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (+.f32 (.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (+.f32 (.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (+.f32 (.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#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.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#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.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (fabs x)) (taylor 0 x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (taylor 0 x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) (taylor 0 x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#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 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow x 2))) (taylor 0 x) (#s(alt (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (taylor 0 x) (#s(alt (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (taylor 0 x) (#s(alt (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (+.f32 (.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (+.f32 (.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (+.f32 (.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (+.f32 (.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor inf x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor inf x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor inf x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor inf x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) (taylor inf x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#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.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#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.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (/ (fabs x) x))) (taylor inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) (taylor inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) (taylor inf x) (#s(alt (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#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.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f32 (.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (+.f32 (.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (+.f32 (.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (+.f32 (.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ())
#s(alt (* -1 (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) (taylor -inf x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#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.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#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.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) (taylor -inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) (taylor -inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) (taylor -inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#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.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

simplify581.0ms (7.1%)

Memory

-15.6MiB live, 235.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	758
1	490	730
2	1513	717
3	5415	667
0	8408	611

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 58

Calls

Call 1

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

Outputs
1
#s(literal 1 binary32)
(+ 1 (pow x 2))
(fma.f32 x x #s(literal 1 binary32))
(+ 1 (pow x 2))
(fma.f32 x x #s(literal 1 binary32))
(+ 1 (pow x 2))
(fma.f32 x x #s(literal 1 binary32))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 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.f32 (fma.f32 (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 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.f32 (fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 #s(literal 1/720 binary32) (.f32 x x)) #s(literal 45 binary32))) (.f32 (.f32 #s(literal 1/720 binary32) (.f32 x x)) (/.f32 #s(literal 30 binary32) (.f32 (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(+ 1 (fabs x))
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (.f32 x x) #s(literal -1/8 binary32)) (.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (pow x 2)))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f32 (fma.f32 #s(literal -1/8 binary32) (.f32 x x) #s(literal 1/2 binary32)) (.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (.f32 x x) #s(literal -1/8 binary32)) (.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 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.f32 (/.f32 (.f32 (fabs.f32 x) (fma.f32 (.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (.f32 (.f32 x x) x)) #s(literal 1/6 binary32) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))))
x
(* x (+ 1 (/ (fabs x) x)))
(+.f32 (fabs.f32 x) x)
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(fma.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 (*.f32 x x) x) x)) x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x)))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(-.f32 x (/.f32 #s(literal -1/2 binary32) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 (*.f32 x x) x) x)) x (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+.f32 (-.f32 x (/.f32 #s(literal -1/2 binary32) x)) (.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (.f32 x x) x) x))) x))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(* -1 (log (/ -1 x)))
(neg.f32 (neg.f32 (log.f32 (neg.f32 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (log.f32 (neg.f32 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) #s(literal 1/2 binary32)) x) (fabs.f32 x)) x) (neg.f32 (log.f32 (neg.f32 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)))
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) x) (.f32 (fabs.f32 x) (fma.f32 (.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) #s(literal 1/2 binary32))) x) (fabs.f32 x)) x) (neg.f32 (log.f32 (neg.f32 x))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f32 (fabs.f32 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(-.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(-.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x)
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (*.f32 x x) x) x)) x (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(+.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (.f32 x x) x) x))) (neg.f32 x)))

rewrite173.0ms (2.1%)

Memory

35.0MiB live, 142.2MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 272

Calls

Call 1

Inputs
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))

Outputs
(.f32 (exp.f32 (log.f32 (fma.f32 (.f32 (*.f32 x x) x) x #s(literal -1 binary32)))) (exp.f32 (neg.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))))))
(.f32 (exp.f32 (log1p.f32 (.f32 (.f32 (.f32 (.f32 (.f32 x x) x) x) x) x))) (exp.f32 (neg.f32 (log1p.f32 (.f32 (.f32 x x) (fma.f32 x x #s(literal -1 binary32)))))))
(.f32 (/.f32 (fma.f32 (.f32 (.f32 x x) x) x #s(literal -1 binary32)) (fma.f32 (.f32 (.f32 (.f32 x x) x) x) (.f32 x x) #s(literal -1 binary32))) (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 (fma.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal 1 binary32)) (.f32 x x)))) (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)))
(.f32 (/.f32 (fma.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x) #s(literal 1 binary32)) (fma.f32 (.f32 (.f32 (.f32 (.f32 x x) x) x) (.f32 (.f32 (.f32 (.f32 (.f32 x x) x) x) x) x)) (.f32 x x) (.f32 #s(literal -1 binary32) (.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x x #s(literal -1 binary32)))))) (fma.f32 (.f32 (.f32 (.f32 (.f32 x x) x) x) (.f32 (.f32 x x) x)) x (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 (.f32 (.f32 x x) x) x)))))
(.f32 (/.f32 (fma.f32 (.f32 (.f32 x x) x) x #s(literal 1 binary32)) (fma.f32 (.f32 (*.f32 x x) x) x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)))
(.f32 (/.f32 (fma.f32 (.f32 (.f32 x x) x) x #s(literal -1 binary32)) (fma.f32 (.f32 (*.f32 x x) x) x #s(literal -1 binary32))) (fma.f32 x x #s(literal 1 binary32)))
(.f32 (/.f32 (fma.f32 (.f32 (.f32 x x) x) x #s(literal 1 binary32)) (fma.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x) #s(literal 1 binary32))) (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (.f32 x x) #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (+.f32 #s(literal 1 binary32) x))
(.f32 (.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(.f32 (fma.f32 (.f32 (.f32 x x) x) x #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))) (fma.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) (fma.f32 (.f32 (*.f32 x x) x) x #s(literal -1 binary32)))
(.f32 (neg.f32 (fma.f32 (.f32 (.f32 x x) x) x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))))
(.f32 (neg.f32 (fma.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))))
(.f32 (fma.f32 (.f32 (*.f32 x x) x) x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))
(.f32 (fma.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))))
(.f32 (fma.f32 x x #s(literal 1 binary32)) (.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))
(sqrt.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (exp.f32 (log1p.f32 (.f32 (.f32 (.f32 x x) x) x))) (exp.f32 (log1p.f32 (.f32 (neg.f32 x) x))))
(/.f32 (exp.f32 (log.f32 (neg.f32 (fma.f32 (.f32 (.f32 x x) x) x #s(literal -1 binary32))))) (exp.f32 (log1p.f32 (*.f32 (neg.f32 x) x))))
(/.f32 (exp.f32 (log.f32 (neg.f32 (fma.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x) #s(literal 1 binary32))))) (exp.f32 (log.f32 (neg.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))))))
(/.f32 (exp.f32 (log.f32 (fma.f32 (.f32 (.f32 x x) x) x #s(literal -1 binary32)))) (exp.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (exp.f32 (log1p.f32 (.f32 (.f32 (.f32 (.f32 (.f32 x x) x) x) x) x))) (exp.f32 (log1p.f32 (.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 (/.f32 (fma.f32 (.f32 (.f32 x x) x) x #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32)))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) x) x) (.f32 (.f32 (.f32 x x) x) x) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 (.f32 (*.f32 x x) x) x #s(literal 1 binary32)))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 x x) x) x) x) x) (.f32 (.f32 x x) x)) (.f32 (.f32 x x) x) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 (.f32 (.f32 (.f32 (.f32 x x) x) x) x) (.f32 (.f32 x x) x) (fma.f32 (.f32 (*.f32 x x) x) x #s(literal 1 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 x x) x) x) x) x) (.f32 (.f32 x x) x)) (.f32 (.f32 x x) x) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 (.f32 (.f32 x x) x) x) (.f32 x x) #s(literal -1 binary32)))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 x x) x) x) x) x) (.f32 (.f32 x x) x)) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 x x) x) x) x) x) (.f32 (.f32 x x) x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 x x) x) x) x) x) (.f32 (.f32 (.f32 (.f32 (.f32 x x) x) x) x) x) (fma.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x) #s(literal 1 binary32))))
(/.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 (*.f32 x x) x) x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 (.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (.f32 (*.f32 x x) x) x #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 (.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 (.f32 x x) x) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) (.f32 (.f32 (.f32 x x) x) (/.f32 x (fma.f32 x x #s(literal -1 binary32))))) (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))) (fma.f32 (.f32 (.f32 x x) x) (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 x x) x) x) x) x) (.f32 (.f32 (.f32 (.f32 (.f32 x x) x) x) x) x)) (.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x x #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x x #s(literal -1 binary32))))) (fma.f32 (.f32 (.f32 (.f32 x x) x) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) (.f32 (.f32 (.f32 x x) x) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) (.f32 (.f32 (.f32 (*.f32 x x) x) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 (.f32 x x) x) x #s(literal -1 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (fma.f32 (.f32 (.f32 x x) x) x #s(literal 1 binary32))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 (.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) x) x) (.f32 (.f32 (.f32 x x) x) x) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 (.f32 x x) x) x #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 x x) x) x) x) x) (.f32 (.f32 x x) x)) (.f32 (.f32 x x) x) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 x x) x) x) x) (.f32 (.f32 x x) x) (fma.f32 (.f32 (.f32 x x) x) x #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 x x) x) x) x) x) (.f32 (.f32 x x) x)) (.f32 (.f32 x x) x) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) x) x) (.f32 x x) #s(literal -1 binary32)) (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 x x) x) x) x) x) (.f32 (.f32 x x) x)) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 x x) x) x) x) x) (.f32 (.f32 x x) x)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 x x) x) x) x) x) (.f32 (.f32 (.f32 (.f32 (.f32 x x) x) x) x) x) (fma.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x) #s(literal 1 binary32))) (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x) #s(literal 1 binary32)))) (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))))
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(/.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 (.f32 (.f32 x x) x) x #s(literal -1 binary32))))) (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (.f32 (.f32 (.f32 (.f32 x x) x) x) x) x)))) (exp.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))))))
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) x #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) x #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 (.f32 x x) x) x #s(literal -1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) x #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 (.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) (.f32 (*.f32 x x) x) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log1p.f32 (*.f32 x x)))
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) x #s(literal -1 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 (.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) (.f32 (*.f32 x x) x) #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (.f32 (.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1/8 binary32))
(pow.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/4 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32))
(fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(exp.f32 (-.f32 (log1p.f32 (.f32 x x)) (.f32 (log1p.f32 (*.f32 x x)) #s(literal 1/2 binary32))))
(exp.f32 (.f32 (.f32 #s(literal 1/4 binary32) (log1p.f32 (*.f32 x x))) #s(literal 2 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (log1p.f32 (*.f32 x x))) #s(literal 1/4 binary32)))
(exp.f32 (.f32 (.f32 (log1p.f32 (*.f32 x x)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(exp.f32 (.f32 (log1p.f32 (.f32 x x)) #s(literal 1/2 binary32)))

eval80.0ms (1%)

Memory: -27.8MiB live, 61.8MiB allocated
Compiler: Compiled 10 068 to 1 568 computations (84.4% saved)

prune73.0ms (0.9%)

Memory

20.6MiB live, 172.6MiB allocated

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	308	22	330
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	309	22	331

Accuracy

99.8%

Counts

331 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.8%	(copysign.f32 (/.f32 (-.f32 (pow.f32 (log.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)) (.f32 (.f32 x x) x))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 x x (.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)) (.f32 (.f32 x x) x))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 x x (.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) #s(literal 2 binary32)) (.f32 (log.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)) (.f32 (.f32 x x) x))) (log1p.f32 (fma.f32 x x (.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))))) x)
	13.6%	(copysign.f32 (-.f32 (log.f32 (fma.f32 (neg.f32 x) x (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
	38.8%	(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)))) x)
	14.3%	(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
▶	13.4%	(copysign.f32 (log.f32 (/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
	38.8%	(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
	37.3%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
	38.9%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))))) x)
▶	18.2%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x)
	27.5%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
	29.6%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
	30.0%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
▶	9.8%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
	28.6%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
	30.5%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
	13.1%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
	51.8%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 #s(literal 1/720 binary32) (.f32 x x)) #s(literal 45 binary32))) (.f32 (.f32 #s(literal 1/720 binary32) (.f32 x x)) (/.f32 #s(literal 30 binary32) (.f32 (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
	53.2%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
	54.3%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x)
	14.1%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (log.f32 (neg.f32 x))))) x)
▶	69.3%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
▶	14.1%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)

Compiler

Compiled 962 to 452 computations (53% saved)

simplify156.0ms (1.9%)

Memory

17.7MiB live, 134.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
cost-diff	0	(copysign.f32 (log.f32 (/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
cost-diff	288	(log.f32 (/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
cost-diff	448	(fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
cost-diff	0	(fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32))
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))
cost-diff	0	(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32))))
cost-diff	0	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
cost-diff	0	(fabs.f32 x)
cost-diff	0	(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))
cost-diff	0	(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))))
cost-diff	0	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x)
cost-diff	0	(log.f32 x)
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
cost-diff	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
cost-diff	0	(fabs.f32 x)
cost-diff	0	(log1p.f32 (fabs.f32 x))
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
cost-diff	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)

Rules

11 032×	`lower-fma.f64`
11 022×	`lower-fma.f32`
2 600×	`lower-*.f64`
2 598×	`lower-*.f32`
1 694×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	342
0	66	335
1	93	335
2	135	314
3	250	312
4	506	312
5	750	312
6	1132	312
7	2838	312
8	5731	312
0	8193	312

Stop Event

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

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(fabs.f32 x)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
(log.f32 x)
x
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))
(fabs.f32 x)
x
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))
#s(literal 1/2 binary32)
(*.f32 x x)
#s(literal 1 binary32)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32))
(fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32))
(fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32))
#s(literal -1/8 binary32)
(*.f32 x x)
x
#s(literal 1/2 binary32)
(fabs.f32 x)
#s(literal 1 binary32)
(copysign.f32 (log.f32 (/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(log.f32 (/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
(fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
x
(-.f32 #s(literal 1 binary32) (*.f32 x x))
#s(literal 1 binary32)
(*.f32 x x)
(-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))
(fabs.f32 x)

Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(fabs.f32 x)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
(log.f32 x)
x
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))))
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x #s(literal 1 binary32))) (fabs.f32 x)))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x #s(literal 1 binary32))) (fabs.f32 x))
(fabs.f32 x)
x
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x #s(literal 1 binary32)))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) x #s(literal 1 binary32))
#s(literal 1/2 binary32)
(*.f32 x x)
#s(literal 1 binary32)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32))
(fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32))
(fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32))
#s(literal -1/8 binary32)
(*.f32 x x)
x
#s(literal 1/2 binary32)
(fabs.f32 x)
#s(literal 1 binary32)
(copysign.f32 (log.f32 (/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(log.f32 (/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
(/.f32 #s(literal -1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
#s(literal 1 binary32)
x
(-.f32 #s(literal 1 binary32) (*.f32 x x))
#s(literal 1 binary32)
(*.f32 x x)
(-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))
(fabs.f32 x)

localize169.0ms (2.1%)

Memory

-41.0MiB live, 176.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	3.3658240680301685	(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
accuracy	7.028695093263008	(log.f32 (/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
accuracy	7.058592819933982	(-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
accuracy	7.5530694803387615	(fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
accuracy	0.01171875	(fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32))
accuracy	0.2755218342864132	(fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32))
accuracy	7.028695093263008	(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32))))
accuracy	8.22495989977839	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))
accuracy	0.00390625	(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))
accuracy	0.17063069219947224	(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))
accuracy	7.028695093263008	(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))))
accuracy	7.301551003804888	#s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))
accuracy	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
accuracy	0	(log.f32 x)
accuracy	12.725074122559999	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
accuracy	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
accuracy	0	(log1p.f32 (fabs.f32 x))
accuracy	0	(fabs.f32 x)
accuracy	4.903803930053329	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))

Samples

82.0ms	116×	1	valid
27.0ms	122×	0	invalid
21.0ms	18×	0	valid

Compiler

Compiled 287 to 29 computations (89.9% saved)

Precisions

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

ival-log: 36.0ms (31.9% of total)

ival-div: 20.0ms (17.7% of total)

ival-sub: 12.0ms (10.6% of total)

ival-mult: 10.0ms (8.9% of total)

ival-hypot: 9.0ms (8% of total)

ival-add: 9.0ms (8% of total)

adjust: 7.0ms (6.2% of total)

ival-copysign: 5.0ms (4.4% of total)

ival-log1p: 2.0ms (1.8% of total)

ival-fabs: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series153.0ms (1.9%)

Memory

20.8MiB live, 359.5MiB allocated

Counts

23 → 276

Calls

Call 1

Inputs
#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) #<representation binary32>) () ())
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ())
#s(alt (log1p.f32 (fabs.f32 x)) (patch (log1p.f32 (fabs.f32 x)) #<representation binary32>) () ())
#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())
#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) #<representation binary32>) () ())
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) #<representation binary32>) () ())
#s(alt (log.f32 x) (patch (log.f32 x) #<representation binary32>) () ())
#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())
#s(alt (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x) (patch (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x) #<representation binary32>) () ())
#s(alt (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) (patch (log.f32 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32))) (patch #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 x x (-.f32 #s(literal 1 binary32) (.f32 x x))) (patch (fma.f32 x x (-.f32 #s(literal 1 binary32) (.f32 x x))) #<representation binary32>) () ())
#s(alt (log.f32 (/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (.f32 x x))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) (patch (log.f32 (/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (.f32 x x))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) #<representation binary32>) () ())
#s(alt (copysign.f32 (log.f32 (/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (.f32 x x))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x) (patch (copysign.f32 (log.f32 (/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (.f32 x x))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (.f32 x x))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (patch (/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (.f32 x x))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #<representation binary32>) () ())
#s(alt #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (.f32 x x) #s(literal 1 binary32))) (patch #s(approx (sqrt (+ ( x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 1/2 binary32) (.f32 x x) #s(literal 1 binary32)) (patch (fma.f32 #s(literal 1/2 binary32) (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -1/8 binary32) (.f32 x x) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal -1/8 binary32) (.f32 x x) #s(literal 1/2 binary32)) #<representation binary32>) () ())
#s(alt (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (patch (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #<representation binary32>) () ())
#s(alt (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (patch (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #<representation binary32>) () ())

Outputs
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) #<representation binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (log1p.f32 (fabs.f32 x)) (patch (log1p.f32 (fabs.f32 x)) #<representation binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (log1p.f32 (fabs.f32 x)) (patch (log1p.f32 (fabs.f32 x)) #<representation binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (log1p.f32 (fabs.f32 x)) (patch (log1p.f32 (fabs.f32 x)) #<representation binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (log1p.f32 (fabs.f32 x)) (patch (log1p.f32 (fabs.f32 x)) #<representation binary32>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())) ())
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) #<representation binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) #<representation binary32>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) #<representation binary32>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) #<representation binary32>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) #<representation binary32>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f32 x) (patch (log.f32 x) #<representation binary32>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f32 x) (patch (log.f32 x) #<representation binary32>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f32 x) (patch (log.f32 x) #<representation binary32>) () ())) ())
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#s(alt (* -1/8 (pow x 2)) (taylor -inf x) (#s(alt (fma.f32 #s(literal -1/8 binary32) (.f32 x x) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal -1/8 binary32) (.f32 x x) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/8)) (taylor -inf x) (#s(alt (fma.f32 #s(literal -1/8 binary32) (.f32 x x) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal -1/8 binary32) (.f32 x x) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/8)) (taylor -inf x) (#s(alt (fma.f32 #s(literal -1/8 binary32) (.f32 x x) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal -1/8 binary32) (.f32 x x) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/8)) (taylor -inf x) (#s(alt (fma.f32 #s(literal -1/8 binary32) (.f32 x x) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal -1/8 binary32) (.f32 x x) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (patch (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ 1 (/ (fabs x) x)))) (taylor -inf x) (#s(alt (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (patch (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))) (taylor -inf x) (#s(alt (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (patch (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x))))) (taylor -inf x) (#s(alt (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (patch (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (patch (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (patch (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (patch (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#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.f32 (fma.f32 x x #s(literal 1 binary32))) (patch (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #<representation binary32>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

58.0ms

-inf

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

57.0ms

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

26.0ms

inf

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

simplify181.0ms (2.2%)

Memory

-7.6MiB live, 322.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 634×	`lower-fma.f64`
12 634×	`lower-fma.f32`
5 836×	`lower-*.f64`
5 836×	`lower-*.f32`
5 488×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	349	3899
1	1066	3694
2	3517	3586
0	8241	3295

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 271

Calls

Call 1

Inputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(log x)
(log x)
(log x)
(log x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))
(+ 1 (+ (* -1/8 (* (pow x 2) (pow (fabs x) 2))) (* (fabs x) (+ 1 (* 1/2 (fabs x))))))
(+ 1 (+ (* -1/8 (* (pow x 2) (pow (fabs x) 2))) (* (fabs x) (+ 1 (* 1/2 (fabs x))))))
(+ 1 (+ (* -1/8 (* (pow x 2) (pow (fabs x) 2))) (* (fabs x) (+ 1 (* 1/2 (fabs x))))))
1
1
1
1
(log (/ 1 (- 1 (fabs x))))
(+ (log (/ 1 (- 1 (fabs x)))) (* -1/2 (/ (pow x 2) (- 1 (fabs x)))))
(+ (log (/ 1 (- 1 (fabs x)))) (* (pow x 2) (- (* 1/24 (* (pow x 2) (- (* 24 (* (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (- 1 (fabs x)) 3)))) (- 1 (fabs x)))) (* 3 (/ 1 (pow (- 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (- 1 (fabs x)))))))
(+ (log (/ 1 (- 1 (fabs x)))) (* (pow x 2) (- (* (pow x 2) (+ (* 1/720 (* (pow x 2) (- (+ (* -720 (* (+ (* 1/16 (/ 1 (pow (- 1 (fabs x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (- 1 (fabs x)) 3)))) (- 1 (fabs x)))) (* 1/16 (/ 1 (pow (- 1 (fabs x)) 3))))) (- 1 (fabs x)))) (* 360 (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (- 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (- 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (- 1 (fabs x)) 3)))) (- 1 (fabs x)))) (* 3 (/ 1 (pow (- 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (- 1 (fabs x)))))))
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(/ 1 (- 1 (fabs x)))
(+ (* -1/2 (/ (pow x 2) (pow (- 1 (fabs x)) 2))) (/ 1 (- 1 (fabs x))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (- 1 (fabs x)) 3))))) (* 1/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (/ 1 (- 1 (fabs x))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/16 (/ 1 (pow (- 1 (fabs x)) 2))) (+ (* 1/16 (/ 1 (pow (- 1 (fabs x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (- 1 (fabs x)) 3)))) (- 1 (fabs x)))))))) (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (- 1 (fabs x)) 3)))))) (* 1/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (/ 1 (- 1 (fabs x))))
1
(+ 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)))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
1/2
(+ 1/2 (* -1/8 (pow x 2)))
(+ 1/2 (* -1/8 (pow x 2)))
(+ 1/2 (* -1/8 (pow x 2)))
(- 1 (fabs x))
(- (+ 1 (* 1/2 (pow x 2))) (fabs x))
(- (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (fabs x))
(- (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (fabs x))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -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 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1/8 (* (pow x 2) (pow (fabs x) 2)))
(* (pow x 2) (+ (* -1/8 (pow (fabs x) 2)) (+ (/ 1 (pow x 2)) (/ (* (fabs x) (+ 1 (* 1/2 (fabs x)))) (pow x 2)))))
(* (pow x 2) (+ (* -1/8 (pow (fabs x) 2)) (+ (/ 1 (pow x 2)) (/ (* (fabs x) (+ 1 (* 1/2 (fabs x)))) (pow x 2)))))
(* (pow x 2) (+ (* -1/8 (pow (fabs x) 2)) (+ (/ 1 (pow x 2)) (/ (* (fabs x) (+ 1 (* 1/2 (fabs x)))) (pow x 2)))))
1
1
1
1
(log (/ 1 x))
(+ (log (/ 1 x)) (/ (fabs x) x))
(+ (log (/ 1 x)) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (log (/ 1 x)) (+ (* 1/6 (/ (+ (* -6 (+ (* 1/2 (fabs x)) (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))))) (+ (* 2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))))) (pow x 3))) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(/ 1 x)
(/ (+ 1 (/ (fabs x) x)) x)
(/ (- (+ 1 (* -1 (/ (+ 1/2 (* -1 (pow (fabs x) 2))) (pow x 2)))) (* -1 (/ (fabs x) x))) x)
(/ (- (+ 1 (* -1 (/ (+ (* 1/2 (fabs x)) (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (pow x 3)))) (+ (* -1 (/ (fabs x) x)) (+ (* -1 (/ (pow (fabs x) 2) (pow x 2))) (/ 1/2 (pow x 2))))) x)
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
x
(* x (+ 1 (* -1 (/ (fabs x) x))))
(* x (- (+ 1 (/ 1/2 (pow x 2))) (/ (fabs x) x)))
(* x (- (+ 1 (/ 1/2 (pow x 2))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(* -1/8 (* (pow x 2) (pow (fabs x) 2)))
(* (pow x 2) (+ (* -1/8 (pow (fabs x) 2)) (+ (/ 1 (pow x 2)) (/ (* (fabs x) (+ 1 (* 1/2 (fabs x)))) (pow x 2)))))
(* (pow x 2) (+ (* -1/8 (pow (fabs x) 2)) (+ (/ 1 (pow x 2)) (/ (* (fabs x) (+ 1 (* 1/2 (fabs x)))) (pow x 2)))))
(* (pow x 2) (+ (* -1/8 (pow (fabs x) 2)) (+ (/ 1 (pow x 2)) (/ (* (fabs x) (+ 1 (* 1/2 (fabs x)))) (pow x 2)))))
1
1
1
1
(log (/ -1 x))
(+ (log (/ -1 x)) (* -1 (/ (fabs x) x)))
(+ (log (/ -1 x)) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x))) x)))
(+ (log (/ -1 x)) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (+ (* 1/2 (fabs x)) (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))))) (+ (* 2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x))) x)))
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(/ -1 x)
(* -1 (/ (+ 1 (* -1 (/ (fabs x) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (* 1/2 (/ 1 x))) (* -1 (fabs x))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (fabs x) x)) (/ (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (* -1 (fabs x))) x))) x))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(* -1 x)
(* -1 (* x (+ 1 (/ (fabs x) x))))
(* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x)))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))

Outputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 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.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x) x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 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.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/720 binary32) (+.f32 (+.f32 (/.f32 #s(literal 30 binary32) (.f32 (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 45 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (.f32 x x) (log1p.f32 (fabs.f32 x)))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 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.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x) x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 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.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/720 binary32) (+.f32 (+.f32 (/.f32 #s(literal 30 binary32) (.f32 (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 45 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (.f32 x x) (log1p.f32 (fabs.f32 x)))
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 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.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x) x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 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.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/720 binary32) (+.f32 (+.f32 (/.f32 #s(literal 30 binary32) (.f32 (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 45 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (.f32 x x) (log1p.f32 (fabs.f32 x)))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(fma.f32 (.f32 (fma.f32 #s(literal -1/8 binary32) (.f32 x x) #s(literal 1/2 binary32)) x) x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f32 (.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) x) x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 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.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x) x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 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.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/720 binary32) (+.f32 (+.f32 (/.f32 #s(literal 30 binary32) (.f32 (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 45 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (.f32 x x) (log1p.f32 (fabs.f32 x)))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
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(fma.f32 (.f32 (fabs.f32 x) (fma.f32 #s(literal -1/8 binary32) (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/2 binary32) (fabs.f32 x) #s(literal 1 binary32)) (.f32 x x)))) (*.f32 x x) #s(literal 1 binary32))
(* (pow x 2) (+ (* -1/8 (pow (fabs x) 2)) (+ (/ 1 (pow x 2)) (/ (* (fabs x) (+ 1 (* 1/2 (fabs x)))) (pow x 2)))))
(fma.f32 (.f32 (fabs.f32 x) (fma.f32 #s(literal -1/8 binary32) (fabs.f32 x) (/.f32 (fma.f32 #s(literal 1/2 binary32) (fabs.f32 x) #s(literal 1 binary32)) (.f32 x x)))) (*.f32 x x) #s(literal 1 binary32))
1
#s(literal 1 binary32)
1
#s(literal 1 binary32)
1
#s(literal 1 binary32)
1
#s(literal 1 binary32)
(log (/ -1 x))
(log.f32 (/.f32 #s(literal -1 binary32) x))
(+ (log (/ -1 x)) (* -1 (/ (fabs x) x)))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (fabs.f32 x) x))
(+ (log (/ -1 x)) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (fma.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 x x)) x) #s(literal -1/2 binary32) (fabs.f32 x)) x))
(+ (log (/ -1 x)) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (+ (* 1/2 (fabs x)) (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))))) (+ (* 2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (fabs.f32 x) #s(literal -6 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 (fabs.f32 x) (fma.f32 #s(literal 6 binary32) (-.f32 #s(literal 1/2 binary32) (.f32 x x)) (.f32 (.f32 x x) #s(literal 2 binary32))))) x) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal -1/2 binary32))) x)) x))
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(/ -1 x)
(/.f32 #s(literal -1 binary32) x)
(* -1 (/ (+ 1 (* -1 (/ (fabs x) x))) x))
(/.f32 (+.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (* 1/2 (/ 1 x))) (* -1 (fabs x))) x))) x))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 (fma.f32 x x #s(literal -1/2 binary32)) x) (fabs.f32 x)) x) #s(literal 1 binary32)) (neg.f32 x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (fabs x) x)) (/ (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (* -1 (fabs x))) x))) x))
(/.f32 (+.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (fabs.f32 x) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (fma.f32 x x #s(literal -1/2 binary32))) x)) x) #s(literal -1 binary32)) x)
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x (neg.f32 x))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(neg.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (.f32 x x) x) x))) x x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(neg.f32 (fma.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (.f32 x x) x) x))) x x))
(* 1/2 (pow x 2))
(.f32 #s(literal 1/2 binary32) (.f32 x x))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))
(* -1/8 (pow x 2))
(.f32 #s(literal -1/8 binary32) (.f32 x x))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) x) x)
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) x) x)
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/8))
(.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) x) x)
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (/ (fabs x) x))))
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) x)) x)
(* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))))
(.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) (-.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) x))) x)
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x)))))
(neg.f32 (fma.f32 (/.f32 (+.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) (fabs.f32 x)) x) x x))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x (neg.f32 x))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(neg.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (.f32 x x) x) x))) x x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(neg.f32 (fma.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (.f32 x x) x) x))) x x))

rewrite214.0ms (2.6%)

Memory

5.8MiB live, 321.0MiB allocated

Rules

5 890×	`lower-fma.f64`
5 878×	`lower-fma.f32`
4 672×	`lower-/.f64`
4 670×	`lower-/.f32`
3 432×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	297
0	66	297
1	220	270
2	1635	270
0	8289	270

Stop Event

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

Counts

23 → 456

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(fabs.f32 x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
(log.f32 x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32))
(fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(log.f32 (/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(copysign.f32 (log.f32 (/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))
(fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32))
(-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))

Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
(log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 x) x)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (neg.f32 (fabs.f32 x))) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (.f32 (neg.f32 x) x)) (log1p.f32 (.f32 (neg.f32 x) x)) (fma.f32 (log1p.f32 (neg.f32 (fabs.f32 x))) (log1p.f32 (neg.f32 (fabs.f32 x))) (.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log1p.f32 (neg.f32 (fabs.f32 x)))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (.f32 x x) x)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (-.f32 (.f32 x x) (fabs.f32 x))) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (.f32 (.f32 x x) x)) (log1p.f32 (.f32 (.f32 x x) x)) (fma.f32 (log1p.f32 (-.f32 (.f32 x x) (fabs.f32 x))) (log1p.f32 (-.f32 (.f32 x x) (fabs.f32 x))) (.f32 (log1p.f32 (.f32 (.f32 x x) x)) (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x)))))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(-.f32 (log.f32 (neg.f32 (fma.f32 (*.f32 x x) x #s(literal 1 binary32)))) (log.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)))))
(-.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32))))
(-.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log1p.f32 (neg.f32 (fabs.f32 x))))
(-.f32 (log1p.f32 (.f32 (.f32 x x) x)) (log.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(-.f32 (log1p.f32 (.f32 (.f32 x x) x)) (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(+.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(+.f32 (log1p.f32 (.f32 (.f32 x x) x)) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)))))
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(log1p.f32 (fabs.f32 x))
(*.f32 (fabs.f32 x) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fabs.f32 x))
(fabs.f32 (-.f32 x #s(literal 0 binary32)))
(fabs.f32 (neg.f32 (neg.f32 (neg.f32 x))))
(fabs.f32 (neg.f32 (neg.f32 x)))
(fabs.f32 (neg.f32 x))
(fabs.f32 x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
(log.f32 x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) (fabs.f32 x))) x)
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) (fabs.f32 x)))
(/.f32 (-.f32 (pow.f32 (log.f32 (-.f32 (.f32 x x) (.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) #s(approx (sqrt (+ ( x x) 1)) (fma.f32 (.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32)))))) #s(literal 3 binary32)) (pow.f32 (log.f32 (-.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (fma.f32 (.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))))) #s(literal 3 binary32))) (fma.f32 (log.f32 (-.f32 (.f32 x x) (.f32 #s(approx (sqrt (+ ( x x) 1)) (fma.f32 (.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) #s(approx (sqrt (+ ( x x) 1)) (fma.f32 (.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32)))))) (log.f32 (-.f32 (.f32 x x) (.f32 #s(approx (sqrt (+ ( x x) 1)) (fma.f32 (.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) #s(approx (sqrt (+ ( x x) 1)) (fma.f32 (.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32)))))) (fma.f32 (log.f32 (-.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (fma.f32 (.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))))) (log.f32 (-.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (fma.f32 (.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))))) (.f32 (log.f32 (-.f32 (.f32 x x) (.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) #s(approx (sqrt (+ ( x x) 1)) (fma.f32 (.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32)))))) (log.f32 (-.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32)))))))))
(/.f32 (-.f32 (pow.f32 (log.f32 (fma.f32 (.f32 #s(approx (sqrt (+ ( x x) 1)) (fma.f32 (.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) #s(approx (sqrt (+ ( x x) 1)) (fma.f32 (.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (+ ( x x) 1)) (fma.f32 (.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) (.f32 (.f32 x x) x))) #s(literal 3 binary32)) (pow.f32 (log.f32 (fma.f32 #s(approx (sqrt (+ ( x x) 1)) (fma.f32 (.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) (-.f32 #s(approx (sqrt (+ ( x x) 1)) (fma.f32 (.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) (fabs.f32 x)) (.f32 x x))) #s(literal 3 binary32))) (fma.f32 (log.f32 (fma.f32 (.f32 #s(approx (sqrt (+ ( x x) 1)) (fma.f32 (.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) #s(approx (sqrt (+ ( x x) 1)) (fma.f32 (.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (+ ( x x) 1)) (fma.f32 (.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) (.f32 (.f32 x x) x))) (log.f32 (fma.f32 (.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) #s(approx (sqrt (+ ( x x) 1)) (fma.f32 (.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (+ ( x x) 1)) (fma.f32 (.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) (.f32 (.f32 x x) x))) (fma.f32 (log.f32 (fma.f32 #s(approx (sqrt (+ ( x x) 1)) (fma.f32 (.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) (-.f32 #s(approx (sqrt (+ ( x x) 1)) (fma.f32 (.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) (fabs.f32 x)) (.f32 x x))) (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) (-.f32 #s(approx (sqrt (+ ( x x) 1)) (fma.f32 (.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) (fabs.f32 x)) (.f32 x x))) (.f32 (log.f32 (fma.f32 (.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) #s(approx (sqrt (+ ( x x) 1)) (fma.f32 (.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (+ ( x x) 1)) (fma.f32 (.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) (.f32 (.f32 x x) x))) (log.f32 (fma.f32 #s(approx (sqrt (+ ( x x) 1)) (fma.f32 (.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) (-.f32 #s(approx (sqrt (+ ( x x) 1)) (fma.f32 (.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32))) (fabs.f32 x)) (.f32 x x)))))))
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(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))) (fma.f32 (fabs.f32 x) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x #s(literal 1 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (.f32 (.f32 x x) x) (fma.f32 (fabs.f32 x) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x #s(literal 1 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))) (fma.f32 (fabs.f32 x) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x #s(literal 1 binary32)))) (/.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))) (fma.f32 (fabs.f32 x) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (/.f32 (.f32 (.f32 x x) x) (fma.f32 (fabs.f32 x) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x #s(literal 1 binary32)))) (/.f32 (.f32 (.f32 x x) x) (fma.f32 (fabs.f32 x) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x #s(literal 1 binary32)))) (.f32 (/.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))) (fma.f32 (fabs.f32 x) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x #s(literal 1 binary32)))) (/.f32 (.f32 (*.f32 x x) x) (fma.f32 (fabs.f32 x) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x #s(literal 1 binary32))))))))
(/.f32 (fma.f32 (neg.f32 (fabs.f32 x)) (.f32 x x) (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (neg.f32 (fabs.f32 x)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))) (.f32 (*.f32 x x) x)))) (neg.f32 (neg.f32 (fma.f32 (fabs.f32 x) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (-.f32 (.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (.f32 x x))) (.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(/.f32 (-.f32 (.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))) (fma.f32 (fabs.f32 x) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x #s(literal 1 binary32)))) (.f32 (fma.f32 (fabs.f32 x) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x #s(literal 1 binary32))) (.f32 (.f32 x x) x))) (.f32 (fma.f32 (fabs.f32 x) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x #s(literal 1 binary32))) (fma.f32 (fabs.f32 x) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (neg.f32 (-.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))) (.f32 (.f32 x x) x))) (neg.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (.f32 x x) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (fabs.f32 x)))))))
(/.f32 (neg.f32 (-.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))) (.f32 (*.f32 x x) x))) (neg.f32 (fma.f32 (fabs.f32 x) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (neg.f32 (neg.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))))
(/.f32 (-.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))) (.f32 (.f32 x x) x)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (.f32 x x) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (fabs.f32 x))))))
(/.f32 (-.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))) (.f32 (*.f32 x x) x)) (fma.f32 (fabs.f32 x) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal -1 binary32))
(/.f32 (neg.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (neg.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (fabs.f32 x)))))
(/.f32 (neg.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (neg.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #s(literal 1 binary32))
(/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (fabs.f32 x))))
(/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (fabs.f32 x))) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (.f32 x x) (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (fabs.f32 x))))) (-.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))) (.f32 (*.f32 x x) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(-.f32 (/.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)) (/.f32 (/.f32 (*.f32 x x) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)))
(-.f32 (/.f32 (/.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))) (fma.f32 (fabs.f32 x) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)) (/.f32 (/.f32 (.f32 (*.f32 x x) x) (fma.f32 (fabs.f32 x) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))
(-.f32 (/.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)) (/.f32 (fabs.f32 x) #s(literal 1 binary32)))
(-.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (fabs.f32 x)))) (/.f32 (*.f32 x x) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (fabs.f32 x)))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) (neg.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(-.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 x x) x) x) (+.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 x x))) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (/.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 x x))) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(-.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (/.f32 (*.f32 x x) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(-.f32 (/.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))) (fma.f32 (fabs.f32 x) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x #s(literal 1 binary32)))) (/.f32 (.f32 (*.f32 x x) x) (fma.f32 (fabs.f32 x) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x #s(literal 1 binary32)))))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (/.f32 (-.f32 (.f32 x x) (.f32 x x)) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(fma.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (fabs.f32 x)))
(fma.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (neg.f32 (fabs.f32 x)))
(fma.f32 (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) x #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))) (neg.f32 (fabs.f32 x)))
(fma.f32 (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) x #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32)) (neg.f32 (fabs.f32 x)))
(fma.f32 (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 x x) x) x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (neg.f32 (fabs.f32 x)))
(fma.f32 (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 x x) x) x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1/2 binary32)) (neg.f32 (fabs.f32 x)))
(fma.f32 #s(literal -1 binary32) (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal -1 binary32))
(+.f32 (neg.f32 (fabs.f32 x)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (fabs.f32 x)))
(*.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 (fma.f32 (.f32 (*.f32 x x) x) x #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(.f32 (sqrt.f32 (fma.f32 (.f32 (*.f32 x x) x) x #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 x x) x) x (-.f32 #s(literal 1 binary32) (.f32 x x))))))
(.f32 (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 x x) x) x (-.f32 #s(literal 1 binary32) (.f32 x x)))) #s(literal 1/2 binary32)))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) x #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 (.f32 x x) x) x #s(literal -1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 (.f32 (.f32 x x) x) x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) x) x))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 x x))))
(/.f32 (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x) #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (-.f32 (.f32 (.f32 (.f32 x x) x) x) (.f32 x x)))))
(/.f32 (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) x #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) x (-.f32 #s(literal 1 binary32) (.f32 x x)))) (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) (.f32 (*.f32 x x) x) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/4 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32))
(fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(exp.f32 (.f32 (log1p.f32 (.f32 x x)) #s(literal 1/2 binary32)))

eval140.0ms (1.7%)

Memory: 18.4MiB live, 216.6MiB allocated
Compiler: Compiled 25 005 to 2 741 computations (89% saved)

prune332.0ms (4.1%)

Memory

-27.4MiB live, 253.7MiB allocated

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	794	9	803
Fresh	5	12	17
Picked	2	3	5
Done	0	0	0
Total	801	24	825

Accuracy

99.8%

Counts

825 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.2%	(copysign.f32 (-.f32 (log.f32 (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x)))) (log.f32 (.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 (.f32 (.f32 x x) x) x (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 x x))))))) x)
	13.6%	(copysign.f32 (-.f32 (log.f32 (fma.f32 (neg.f32 x) x (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
	38.8%	(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)))) x)
	15.6%	(copysign.f32 (log.f32 (/.f32 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
	38.8%	(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
	38.9%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))))) x)
✓	18.2%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x)
	27.5%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
	29.6%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
	30.0%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))))) x)
▶	14.1%	(copysign.f32 (log.f32 #s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (/.f32 #s(literal 1 binary32) x))) x)
	18.4%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 #s(approx (+ (* -1/8 (* x x)) 1/2) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
	28.6%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
	30.5%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
▶	13.1%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
	49.4%	(copysign.f32 #s(approx (log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x)))) (-.f32 (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/720 binary32) (.f32 x x)) (+.f32 (fma.f32 (.f32 #s(literal -720 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/8 binary32) (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/16 binary32) (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 45 binary32) (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) #s(literal 60 binary32))) (.f32 (fma.f32 (.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/8 binary32) (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal -3 binary32) (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) #s(literal 1/24 binary32))) (.f32 x x) (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (.f32 x x)) (log1p.f32 (neg.f32 (fabs.f32 x))))) x)
	47.4%	(copysign.f32 #s(approx (log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x)))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x))))) x)
	51.8%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 #s(literal 1/720 binary32) (.f32 x x)) #s(literal 45 binary32))) (.f32 (.f32 #s(literal 1/720 binary32) (.f32 x x)) (/.f32 #s(literal 30 binary32) (.f32 (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
▶	53.2%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
▶	54.3%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x)
▶	14.1%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (log.f32 (neg.f32 x))))) x)
✓	69.3%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
✓	14.1%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
	15.7%	#s(approx (copysign (log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x)))) x) (copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x))

Compiler

Compiled 1 167 to 502 computations (57% saved)

simplify154.0ms (1.9%)

Memory

32.0MiB live, 185.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))))
cost-diff	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
cost-diff	160	(fma.f32 (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
cost-diff	512	(fma.f32 (fma.f32 (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
cost-diff	0	(/.f32 (fabs.f32 x) (neg.f32 x))
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (log.f32 (neg.f32 x)))))
cost-diff	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (log.f32 (neg.f32 x))))) x)
cost-diff	128	(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (log.f32 (neg.f32 x))))
cost-diff	0	(/.f32 #s(literal 1 binary32) x)
cost-diff	0	#s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (/.f32 #s(literal 1 binary32) x))
cost-diff	0	(log.f32 #s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (/.f32 #s(literal 1 binary32) x)))
cost-diff	0	(copysign.f32 (log.f32 #s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (/.f32 #s(literal 1 binary32) x))) x)
cost-diff	0	(neg.f32 x)
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
cost-diff	0	(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)))
cost-diff	0	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
cost-diff	0	(*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)
cost-diff	0	(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x))))
cost-diff	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x)

Rules

9 646×	`lower-fma.f64`
9 640×	`lower-fma.f32`
3 514×	`lower-*.f64`
3 506×	`lower-*.f32`
1 804×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	494
0	82	494
1	134	491
2	268	464
3	634	448
4	1457	448
5	2351	448
6	5758	448
7	7092	448
0	8198	429

Stop Event

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

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))
(*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
#s(literal 1/2 binary32)
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
#s(literal 1 binary32)
(fabs.f32 x)
x
(log1p.f32 (fabs.f32 x))
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
(neg.f32 x)
x
(copysign.f32 (log.f32 #s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (/.f32 #s(literal 1 binary32) x))) x)
(log.f32 #s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (/.f32 #s(literal 1 binary32) x)))
#s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (log.f32 (neg.f32 x))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (log.f32 (neg.f32 x)))))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (log.f32 (neg.f32 x))))
(/.f32 (fabs.f32 x) (neg.f32 x))
(fabs.f32 x)
x
(neg.f32 x)
(neg.f32 (log.f32 (neg.f32 x)))
(log.f32 (neg.f32 x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))))
(fma.f32 (fma.f32 (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(fma.f32 (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
(.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32)))
(*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
x
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
(fabs.f32 x)
#s(literal 1 binary32)
(+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))
(/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
#s(literal 3 binary32)
#s(literal -1/24 binary32)
(/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
#s(literal 1/2 binary32)
(*.f32 x x)
(log1p.f32 (fabs.f32 x))

Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (log1p.f32 (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (log1p.f32 (fabs.f32 x))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (log1p.f32 (fabs.f32 x)))
(*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)
(*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
#s(literal 1/2 binary32)
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(-.f32 (fabs.f32 x) #s(literal -1 binary32))
#s(literal 1 binary32)
(fabs.f32 x)
x
(log1p.f32 (fabs.f32 x))
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
(neg.f32 x)
x
(copysign.f32 (log.f32 #s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (/.f32 #s(literal 1 binary32) x))) x)
(log.f32 #s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (/.f32 #s(literal 1 binary32) x)))
#s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (log.f32 (neg.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 (neg.f32 x)) (/.f32 (fabs.f32 x) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (log.f32 (neg.f32 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 (neg.f32 x)) (/.f32 (fabs.f32 x) x)))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (log.f32 (neg.f32 x))))
(-.f32 (log.f32 (neg.f32 x)) (/.f32 (fabs.f32 x) x))
(/.f32 (fabs.f32 x) (neg.f32 x))
(fabs.f32 x)
x
(neg.f32 x)
(neg.f32 (log.f32 (neg.f32 x)))
(log.f32 (neg.f32 x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (.f32 x (fma.f32 (.f32 (+.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x) #s(literal -1/8 binary32) #s(literal 1/2 binary32))) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (log1p.f32 (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (.f32 x (fma.f32 (.f32 (+.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x) #s(literal -1/8 binary32) #s(literal 1/2 binary32))) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (log1p.f32 (fabs.f32 x))))
(fma.f32 (fma.f32 (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(fma.f32 (.f32 x (fma.f32 (.f32 (+.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x) #s(literal -1/8 binary32) #s(literal 1/2 binary32))) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (log1p.f32 (fabs.f32 x)))
(fma.f32 (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
(fma.f32 (*.f32 (+.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x) (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32)))
(.f32 (.f32 (+.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x) (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x)
(/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
x
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
(-.f32 (fabs.f32 x) #s(literal -1 binary32))
(fabs.f32 x)
#s(literal 1 binary32)
(+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))
(+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32))
(/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
#s(literal 3 binary32)
#s(literal -1/24 binary32)
(/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
#s(literal 1/2 binary32)
(*.f32 x x)
(log1p.f32 (fabs.f32 x))

localize172.0ms (2.1%)

Memory

-18.6MiB live, 303.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
accuracy	0.13119125976844204	(.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32)))
accuracy	0.1540446691031453	(fma.f32 (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
accuracy	7.737163915333309	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))))
accuracy	0	(log.f32 (neg.f32 x))
accuracy	0	(fabs.f32 x)
accuracy	0.039899684065627994	(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (log.f32 (neg.f32 x))))
accuracy	11.205143349246573	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (log.f32 (neg.f32 x)))))
accuracy	0	(copysign.f32 (log.f32 #s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (/.f32 #s(literal 1 binary32) x))) x)
accuracy	0	(/.f32 #s(literal 1 binary32) x)
accuracy	5.873602357826276	(log.f32 #s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (/.f32 #s(literal 1 binary32) x)))
accuracy	14.841095268496094	#s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (/.f32 #s(literal 1 binary32) x))
accuracy	0	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
accuracy	0	(neg.f32 x)
accuracy	5.873602357826276	(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)))
accuracy	12.222340096847079	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
accuracy	0.01953125	(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))
accuracy	0.01953125	(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
accuracy	0.08431625976844201	(*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)
accuracy	7.112835038891074	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x))))

Samples

72.0ms	83×	1	valid
54.0ms	134×	0	invalid
12.0ms	39×	0	valid

Compiler

Compiled 371 to 42 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-mult: 27.0ms (24.8% of total)

ival-div: 14.0ms (12.9% of total)

ival-add: 14.0ms (12.9% of total)

ival-log: 11.0ms (10.1% of total)

ival-fabs: 10.0ms (9.2% of total)

adjust: 7.0ms (6.4% of total)

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

ival-copysign: 5.0ms (4.6% of total)

ival-sub: 4.0ms (3.7% of total)

const: 4.0ms (3.7% of total)

ival-log1p: 2.0ms (1.8% of total)

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

exact: 1.0ms (0.9% of total)

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

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

series69.0ms (0.8%)

Memory

16.2MiB live, 128.7MiB allocated

Counts

25 → 300

Calls

Call 1

Inputs
#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x) #<representation binary32>) () ())
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) (patch #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) #<representation binary32>) () ())
#s(alt (fma.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x))) (patch (fma.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ())
#s(alt (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) (patch (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) #<representation binary32>) () ())
#s(alt (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) (patch (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) #<representation binary32>) () ())
#s(alt (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) (patch (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) #<representation binary32>) () ())
#s(alt #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)) (patch #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)) #<representation binary32>) () ())
#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())
#s(alt (copysign.f32 (log.f32 #s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (/.f32 #s(literal 1 binary32) x))) x) (patch (copysign.f32 (log.f32 #s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (/.f32 #s(literal 1 binary32) x))) x) #<representation binary32>) () ())
#s(alt (log.f32 #s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (/.f32 #s(literal 1 binary32) x))) (patch (log.f32 #s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (/.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())
#s(alt #s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (/.f32 #s(literal 1 binary32) x)) (patch #s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (/.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) x) (patch (/.f32 #s(literal 1 binary32) x) #<representation binary32>) () ())
#s(alt (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (log.f32 (neg.f32 x)))) (patch (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (log.f32 (neg.f32 x)))) #<representation binary32>) () ())
#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (log.f32 (neg.f32 x))))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (log.f32 (neg.f32 x))))) x) #<representation binary32>) () ())
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (log.f32 (neg.f32 x))))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (log.f32 (neg.f32 x))))) #<representation binary32>) () ())
#s(alt (/.f32 (fabs.f32 x) (neg.f32 x)) (patch (/.f32 (fabs.f32 x) (neg.f32 x)) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 x x) (log1p.f32 (fabs.f32 x))) (patch (fma.f32 (fma.f32 (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 x x) (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ())
#s(alt (fma.f32 (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (patch (fma.f32 (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 (fma.f32 (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x) #<representation binary32>) () ())
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) (patch #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 (fma.f32 (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (patch (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #<representation binary32>) () ())
#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())
#s(alt (log.f32 (neg.f32 x)) (patch (log.f32 (neg.f32 x)) #<representation binary32>) () ())
#s(alt (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) (patch (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (patch (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #<representation binary32>) () ())

Outputs
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x) #<representation binary32>) () ())) ())
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#s(alt (/ 3 (+ 1 (fabs x))) (taylor -inf x) (#s(alt (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (patch (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ 3 (+ 1 (fabs x))) (taylor -inf x) (#s(alt (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (patch (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ 3 (+ 1 (fabs x))) (taylor -inf x) (#s(alt (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (patch (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

19.0ms

inf

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

18.0ms

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

13.0ms

-inf

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

simplify195.0ms (2.4%)

Memory

-20.0MiB live, 299.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 518×	`lower-fma.f64`
14 518×	`lower-fma.f32`
5 900×	`lower-+.f64`
5 900×	`lower-+.f32`
5 722×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	333	4396
1	1007	4167
2	3290	4069
0	8324	3816

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 299

Calls

Call 1

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

Outputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 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.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x) x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 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.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/720 binary32) (+.f32 (+.f32 (/.f32 #s(literal 30 binary32) (.f32 (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 45 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (.f32 x x) (log1p.f32 (fabs.f32 x)))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))
(* 1/2 (/ x (+ 1 (fabs x))))
(*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32))
(* 1/2 (/ x (+ 1 (fabs x))))
(*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32))
(* 1/2 (/ x (+ 1 (fabs x))))
(*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32))
(* 1/2 (/ x (+ 1 (fabs x))))
(*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 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.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x) x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 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.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/720 binary32) (+.f32 (+.f32 (/.f32 #s(literal 30 binary32) (.f32 (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 45 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (.f32 x x) (log1p.f32 (fabs.f32 x)))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(fma.f32 (.f32 (fma.f32 #s(literal -1/8 binary32) (.f32 x x) #s(literal 1/2 binary32)) x) x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f32 (.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) x) x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(log (/ 1 (- 1 (fabs x))))
(neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x))))
(+ (log (/ 1 (- 1 (fabs x)))) (* -1/2 (/ (pow x 2) (- 1 (fabs x)))))
(-.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (neg.f32 (fabs.f32 x))))
(+ (log (/ 1 (- 1 (fabs x)))) (* (pow x 2) (- (* 1/24 (* (pow x 2) (- (* 24 (* (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (- 1 (fabs x)) 3)))) (- 1 (fabs x)))) (* 3 (/ 1 (pow (- 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (- 1 (fabs x)))))))
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(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x) #s(literal -1/2 binary32) (fabs.f32 x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) 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)))
(-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (.f32 (fabs.f32 x) (fma.f32 (.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) x) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) #s(literal 1/2 binary32))) x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x)
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(fma.f32 (/.f32 (log1p.f32 (fabs.f32 x)) #s(literal 1 binary32)) #s(literal 1 binary32) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(fma.f32 (/.f32 (log1p.f32 (fabs.f32 x)) #s(literal 1 binary32)) #s(literal 1 binary32) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(fma.f32 (/.f32 (log1p.f32 (fabs.f32 x)) #s(literal 1 binary32)) #s(literal 1 binary32) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x))
(* 1/2 (/ x (+ 1 (fabs x))))
(*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32))
(* 1/2 (/ x (+ 1 (fabs x))))
(*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32))
(* 1/2 (/ x (+ 1 (fabs x))))
(*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32))
(* 1/2 (/ x (+ 1 (fabs x))))
(*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x) #s(literal -1/2 binary32) (fabs.f32 x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) 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)))
(-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (.f32 (fabs.f32 x) (fma.f32 (.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) x) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) #s(literal 1/2 binary32))) x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(fma.f32 (/.f32 (fabs.f32 x) x) x (neg.f32 x))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) x (neg.f32 x))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) x (neg.f32 x))
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(log (/ -1 x))
(log.f32 (/.f32 #s(literal -1 binary32) x))
(+ (log (/ -1 x)) (* -1 (/ (fabs x) x)))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (fabs.f32 x) x))
(+ (log (/ -1 x)) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (fma.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 x x)) x) #s(literal -1/2 binary32) (fabs.f32 x)) x))
(+ (log (/ -1 x)) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (+ (* 1/2 (fabs x)) (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))))) (+ (* 2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (fabs.f32 x) #s(literal -6 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 (fabs.f32 x) (fma.f32 #s(literal 6 binary32) (-.f32 #s(literal 1/2 binary32) (.f32 x x)) (.f32 (.f32 x x) #s(literal 2 binary32))))) x) #s(literal -1/6 binary32) (.f32 (+.f32 #s(literal -1 binary32) (.f32 x x)) #s(literal 1/2 binary32))) x)) x))
(/ -1 x)
(/.f32 #s(literal -1 binary32) x)
(* -1 (/ (+ 1 (* -1 (/ (fabs x) x))) x))
(/.f32 (+.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (* 1/2 (/ 1 x))) (* -1 (fabs x))) x))) x))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 (fma.f32 x x #s(literal -1/2 binary32)) x) (fabs.f32 x)) x) #s(literal 1 binary32)) (neg.f32 x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (fabs x) x)) (/ (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (* -1 (fabs x))) x))) x))
(/.f32 (+.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (fabs.f32 x) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (fma.f32 x x #s(literal -1/2 binary32))) x)) x) #s(literal -1 binary32)) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x) #s(literal -1/2 binary32) (fabs.f32 x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) 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)))
(-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (.f32 (fabs.f32 x) (fma.f32 (.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) x) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) #s(literal 1/2 binary32))) x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 (/ (fabs x) x))
(/.f32 (fabs.f32 x) (neg.f32 x))
(* -1 (/ (fabs x) x))
(/.f32 (fabs.f32 x) (neg.f32 x))
(* -1 (/ (fabs x) x))
(/.f32 (fabs.f32 x) (neg.f32 x))
(* -1 (/ (fabs x) x))
(/.f32 (fabs.f32 x) (neg.f32 x))
(* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 (.f32 x x) (.f32 x x)))
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (fabs.f32 x) x x))) (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (.f32 (.f32 x x) (*.f32 x 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)))))
(.f32 (+.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (fabs.f32 x) x x)))) (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (.f32 (.f32 x x) (.f32 x 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)))))
(.f32 (+.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (fabs.f32 x) x x)))) (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (.f32 (.f32 x x) (.f32 x x)))
(* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))
(.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1 binary32)))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1 binary32)))
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1 binary32)))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x) #s(literal -1/2 binary32) (fabs.f32 x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) 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)))
(-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (.f32 (fabs.f32 x) (fma.f32 (.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) x) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) #s(literal 1/2 binary32))) x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(.f32 (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 3 binary32)) (.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(.f32 (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 3 binary32)) (.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(.f32 (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 3 binary32)) (.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))
(.f32 (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 3 binary32)) (.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(/ 3 (+ 1 (fabs x)))
(/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/ 3 (+ 1 (fabs x)))
(/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/ 3 (+ 1 (fabs x)))
(/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/ 3 (+ 1 (fabs x)))
(/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))

rewrite235.0ms (2.9%)

Memory

22.4MiB live, 266.0MiB allocated

Rules

4 458×	`lower-/.f64`
4 448×	`lower-/.f32`
3 876×	`lower-*.f64`
3 868×	`lower-*.f32`
3 268×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	427
0	82	427
1	309	394
2	2425	386
0	8528	374

Stop Event

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

Counts

25 → 455

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))
(*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
(neg.f32 x)
(copysign.f32 (log.f32 #s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (/.f32 #s(literal 1 binary32) x))) x)
(log.f32 #s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (/.f32 #s(literal 1 binary32) x)))
#s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) x)
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (log.f32 (neg.f32 x))))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (log.f32 (neg.f32 x))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (log.f32 (neg.f32 x)))))
(/.f32 (fabs.f32 x) (neg.f32 x))
(fma.f32 (fma.f32 (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(fma.f32 (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))))
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(fabs.f32 x)
(log.f32 (neg.f32 x))
(.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32)))
(/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))

Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x x) (log1p.f32 (fabs.f32 x))))
(.f32 (-.f32 (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 x x) x) x)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x)) (log1p.f32 (fabs.f32 x)))))
(.f32 (fma.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 (.f32 x x) x)) (.f32 (.f32 x x) x) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 x x) x) x) (.f32 (log1p.f32 (fabs.f32 x)) (-.f32 (log1p.f32 (fabs.f32 x)) (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x x)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)) (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 x x) x) x)))) (neg.f32 (-.f32 (log1p.f32 (fabs.f32 x)) (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x x)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 x x) x) x)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x x)) (log1p.f32 (fabs.f32 x))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 (.f32 x x) x)) (.f32 (.f32 x x) x) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 x x) x) x) (.f32 (log1p.f32 (fabs.f32 x)) (-.f32 (log1p.f32 (fabs.f32 x)) (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x))))))))
(/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 x x) x) x)) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x)) (log1p.f32 (fabs.f32 x)))) (.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x)) (log1p.f32 (fabs.f32 x))) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)))) (.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x)) (log1p.f32 (fabs.f32 x))) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x)) (log1p.f32 (fabs.f32 x)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)) (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 x x) x) x))) (-.f32 (log1p.f32 (fabs.f32 x)) (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x x))))
(/.f32 (neg.f32 (-.f32 (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 x x) x) x)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)))) (neg.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x x)) (log1p.f32 (fabs.f32 x)))))
(/.f32 (neg.f32 (fma.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 (.f32 x x) x)) (.f32 (.f32 x x) x) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)) (-.f32 (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 x x) x) x)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x x)) (log1p.f32 (fabs.f32 x)))))))
(/.f32 (neg.f32 (fma.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 (.f32 x x) x)) (.f32 (.f32 x x) x) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 x x) x) x) (.f32 (log1p.f32 (fabs.f32 x)) (-.f32 (log1p.f32 (fabs.f32 x)) (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x)))))))
(/.f32 (-.f32 (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 x x) x) x)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32))) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x x)) (log1p.f32 (fabs.f32 x))))
(/.f32 (fma.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 (.f32 x x) x)) (.f32 (.f32 x x) x) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)) (-.f32 (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 x x) x) x)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x x)) (log1p.f32 (fabs.f32 x))))))
(/.f32 (fma.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 (.f32 x x) x)) (.f32 (.f32 x x) x) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 x x) x) x) (.f32 (log1p.f32 (fabs.f32 x)) (-.f32 (log1p.f32 (fabs.f32 x)) (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x)) (log1p.f32 (fabs.f32 x))) (-.f32 (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 (.f32 (*.f32 x x) x) x)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 x x) x) x) (.f32 (log1p.f32 (fabs.f32 x)) (-.f32 (log1p.f32 (fabs.f32 x)) (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x))))) (fma.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 (.f32 x x) x)) (.f32 (.f32 x x) x) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x)) (log1p.f32 (fabs.f32 x))) (-.f32 (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 (.f32 (*.f32 x x) x) x)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 x x) x) x) (.f32 (log1p.f32 (fabs.f32 x)) (-.f32 (log1p.f32 (fabs.f32 x)) (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x))))) (fma.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 (.f32 x x) x)) (.f32 (.f32 x x) x) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32)))))
(-.f32 (/.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)) (-.f32 (log1p.f32 (fabs.f32 x)) (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x)))) (/.f32 (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 x x) x) x)) (-.f32 (log1p.f32 (fabs.f32 x)) (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x x)))))
(-.f32 (/.f32 (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 x x) x) x)) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x)) (log1p.f32 (fabs.f32 x)))) (/.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x x)) (log1p.f32 (fabs.f32 x)))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) x (log1p.f32 (fabs.f32 x)))
(fma.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x)) (log1p.f32 (fabs.f32 x)))
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))
(fma.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (log1p.f32 (fabs.f32 x)))
(pow.f32 (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x)) (log1p.f32 (fabs.f32 x))) (-.f32 (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 (.f32 (*.f32 x x) x) x)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 x x) x) x) (.f32 (log1p.f32 (fabs.f32 x)) (-.f32 (log1p.f32 (fabs.f32 x)) (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x))))) (fma.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 (.f32 x x) x)) (.f32 (.f32 x x) x) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32)))) #s(literal -1 binary32))
(+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x)) (log1p.f32 (fabs.f32 x)))
(+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x)))
(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))
(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))
(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) x) (fma.f32 (*.f32 x x) x #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)))
(.f32 (.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)
(*.f32 #s(literal 1/2 binary32) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
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(+.f32 (.f32 #s(literal 3 binary32) (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x)) (/.f32 (.f32 (.f32 x x) #s(literal 3 binary32)) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal 3 binary32) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal 3 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))
(.f32 (/.f32 #s(literal 3 binary32) (fma.f32 (.f32 x x) x #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))
(*.f32 #s(literal -3 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (fabs.f32 x)) #s(literal -1 binary32))))
(*.f32 #s(literal 3 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
(/.f32 #s(literal -3 binary32) (neg.f32 (neg.f32 (+.f32 (neg.f32 (fabs.f32 x)) #s(literal -1 binary32)))))
(/.f32 #s(literal -3 binary32) (+.f32 (neg.f32 (fabs.f32 x)) #s(literal -1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1/3 binary32))))
(/.f32 #s(literal 3 binary32) (neg.f32 (+.f32 (neg.f32 (fabs.f32 x)) #s(literal -1 binary32))))
(/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1/3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1/3 binary32)))
(pow.f32 (/.f32 (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32))
(exp.f32 (.f32 (log.f32 (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1/3 binary32))) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))

eval99.0ms (1.2%)

Memory: 10.7MiB live, 168.9MiB allocated
Compiler: Compiled 30 253 to 2 639 computations (91.3% saved)

prune169.0ms (2.1%)

Memory

-19.8MiB live, 259.4MiB allocated

Pruning

26 alts after pruning (20 fresh and 6 done)

	Pruned	Kept	Total
New	938	4	942
Fresh	0	16	16
Picked	2	3	5
Done	0	3	3
Total	940	26	966

Accuracy

99.8%

Counts

966 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.2%	(copysign.f32 (-.f32 (log.f32 (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x)))) (log.f32 (.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 (.f32 (.f32 x x) x) x (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 x x))))))) x)
	13.6%	(copysign.f32 (-.f32 (log.f32 (fma.f32 (neg.f32 x) x (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
	38.8%	(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)))) x)
▶	15.6%	(copysign.f32 (log.f32 (/.f32 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
	38.8%	(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
	38.9%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))))) x)
✓	18.2%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x)
▶	27.5%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
	29.6%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
▶	30.0%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))))) x)
✓	14.1%	(copysign.f32 (log.f32 #s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (/.f32 #s(literal 1 binary32) x))) x)
	18.4%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 #s(approx (+ (* -1/8 (* x x)) 1/2) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
	28.6%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
	30.5%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
✓	13.1%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
	49.4%	(copysign.f32 #s(approx (log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x)))) (-.f32 (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/720 binary32) (.f32 x x)) (+.f32 (fma.f32 (.f32 #s(literal -720 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/8 binary32) (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/16 binary32) (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 45 binary32) (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) #s(literal 60 binary32))) (.f32 (fma.f32 (.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/8 binary32) (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal -3 binary32) (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) #s(literal 1/24 binary32))) (.f32 x x) (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (.f32 x x)) (log1p.f32 (neg.f32 (fabs.f32 x))))) x)
	47.4%	(copysign.f32 #s(approx (log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x)))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x))))) x)
	51.8%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 #s(literal 1/720 binary32) (.f32 x x)) #s(literal 45 binary32))) (.f32 (.f32 #s(literal 1/720 binary32) (.f32 x x)) (/.f32 #s(literal 30 binary32) (.f32 (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
✓	54.3%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x)
▶	53.2%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
	14.1%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (neg.f32 x) (fabs.f32 x)) (log.f32 (neg.f32 x)))) x)
✓	69.3%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
✓	14.1%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
▶	15.9%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x)
	12.6%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x))) x)
	15.7%	#s(approx (copysign (log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x)))) x) (copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x))

Compiler

Compiled 1 181 to 503 computations (57.4% saved)

simplify205.0ms (2.5%)

Memory

6.8MiB live, 94.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary32))
cost-diff	0	(/.f32 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
cost-diff	0	(log.f32 (/.f32 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
cost-diff	0	(copysign.f32 (log.f32 (/.f32 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
cost-diff	0	(fabs.f32 x)
cost-diff	0	(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
cost-diff	0	(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
cost-diff	0	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
cost-diff	0	(fabs.f32 x)
cost-diff	0	(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))))
cost-diff	0	(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32)))))
cost-diff	0	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))))) x)
cost-diff	0	(/.f32 (fabs.f32 x) (neg.f32 x))
cost-diff	0	#s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x)))
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x))))
cost-diff	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x)
cost-diff	0	#s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
cost-diff	0	(fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x))))
cost-diff	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x)

Rules

5 690×	`lower-fma.f64`
5 684×	`lower-fma.f32`
3 122×	`lower-*.f64`
3 120×	`lower-*.f32`
1 392×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	646
0	101	642
1	161	639
2	289	608
3	592	596
4	998	596
5	1377	596
6	2438	596
7	3263	596
8	5926	596
0	8153	591

Stop Event

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

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x))))
(fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))
#s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32))
(/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
#s(literal -1/8 binary32)
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
#s(literal 1 binary32)
(fabs.f32 x)
x
(*.f32 x x)
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
#s(literal 1/2 binary32)
(log1p.f32 (fabs.f32 x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x))))
#s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x)))
(/.f32 (fabs.f32 x) (neg.f32 x))
(fabs.f32 x)
x
(neg.f32 x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))))
(fabs.f32 x)
x
#s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32)))
#s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))
#s(literal 1 binary32)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
(fabs.f32 x)
x
#s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x)
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
(copysign.f32 (log.f32 (/.f32 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(log.f32 (/.f32 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(/.f32 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
#s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary32))
#s(literal 1 binary32)
(-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))
x
(fabs.f32 x)

Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal -1/8 binary32)) (/.f32 (.f32 x x) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal -1/8 binary32)) (/.f32 (.f32 x x) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))) (.f32 x x) (log1p.f32 (fabs.f32 x))))
(fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))
(fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal -1/8 binary32)) (/.f32 (.f32 x x) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))
#s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
#s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal -1/8 binary32)) (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))))
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(fma.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal -1/8 binary32)) (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal -1/8 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32))
(+.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal -1/8 binary32))
(/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/.f32 #s(literal -1/8 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
#s(literal -1/8 binary32)
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(-.f32 (fabs.f32 x) #s(literal -1 binary32))
#s(literal 1 binary32)
(fabs.f32 x)
x
(*.f32 x x)
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
#s(literal 1/2 binary32)
(log1p.f32 (fabs.f32 x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x))))
#s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x)))
(/.f32 (fabs.f32 x) (neg.f32 x))
(fabs.f32 x)
x
(neg.f32 x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))) (fabs.f32 x))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32)))))
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))) (fabs.f32 x)))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))) (fabs.f32 x))
(fabs.f32 x)
x
#s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32)))
#s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))
#s(literal 1 binary32)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x)))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x))
(fabs.f32 x)
x
#s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x)
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
(copysign.f32 (log.f32 (/.f32 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(log.f32 (/.f32 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(/.f32 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
#s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary32))
#s(literal 1 binary32)
(-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))
x
(fabs.f32 x)

localize329.0ms (4%)

Memory

15.1MiB live, 280.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(/.f32 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
accuracy	2.853670878453671	(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
accuracy	5.873602357826276	(log.f32 (/.f32 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
accuracy	6.468621222711455	(-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
accuracy	0.01171875	(-.f32 (/.f32 #s(literal -1/2 binary32) x) x)
accuracy	0.015625	(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
accuracy	5.873602357826276	(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
accuracy	6.779745713757192	#s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
accuracy	0.015625	(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))))
accuracy	5.873602357826276	(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32)))))
accuracy	6.804679479351146	#s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32)))
accuracy	7.429547890775573	#s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))
accuracy	0	(neg.f32 x)
accuracy	0	(fabs.f32 x)
accuracy	11.205143349246573	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x))))
accuracy	13.34659457308917	#s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x)))
accuracy	0.01953125	(/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
accuracy	0.05859375	(/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
accuracy	2.9553998667120367	(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
accuracy	7.737163915333309	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x))))

Samples

179.0ms	83×	1	valid
45.0ms	134×	0	invalid
22.0ms	39×	0	valid

Compiler

Compiled 394 to 50 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

adjust: 44.0ms (33.8% of total)

ival-div: 17.0ms (13.1% of total)

ival-add: 15.0ms (11.5% of total)

ival-log: 13.0ms (10% of total)

ival-mult: 12.0ms (9.2% of total)

ival-hypot: 7.0ms (5.4% of total)

ival-sub: 5.0ms (3.8% of total)

ival-copysign: 5.0ms (3.8% of total)

const: 4.0ms (3.1% of total)

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

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

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

exact: 1.0ms (0.8% of total)

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

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

series41.0ms (0.5%)

Memory

0.9MiB live, 82.4MiB allocated

Counts

29 → 348

Calls

Call 1

Inputs
#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x) #<representation binary32>) () ())
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x))) (patch (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ())
#s(alt #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (patch #s(approx (+ ( (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #<representation binary32>) () ())
#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x) #<representation binary32>) () ())
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x)))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x)))) #<representation binary32>) () ())
#s(alt #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x))) (patch #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x))) #<representation binary32>) () ())
#s(alt (/.f32 (fabs.f32 x) (neg.f32 x)) (patch (/.f32 (fabs.f32 x) (neg.f32 x)) #<representation binary32>) () ())
#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))))) x) #<representation binary32>) () ())
#s(alt (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())
#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) #<representation binary32>) () ())
#s(alt (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) (patch (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) #<representation binary32>) () ())
#s(alt (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))) (patch (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))) #<representation binary32>) () ())
#s(alt (copysign.f32 (log.f32 (/.f32 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x) (patch (copysign.f32 (log.f32 (/.f32 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x) #<representation binary32>) () ())
#s(alt (log.f32 (/.f32 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) (patch (log.f32 (/.f32 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (patch (/.f32 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #<representation binary32>) () ())
#s(alt #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary32)) (patch #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (patch (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) #<representation binary32>) () ())
#s(alt (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (patch (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (patch (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #<representation binary32>) () ())
#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())
#s(alt #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32)) (patch #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))) (patch #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (patch #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #<representation binary32>) () ())
#s(alt (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (patch (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) #<representation binary32>) () ())
#s(alt (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (patch (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #<representation binary32>) () ())
#s(alt (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (patch (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #<representation binary32>) () ())

Outputs
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x) #<representation binary32>) () ())) ())
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x) #<representation binary32>) () ())) ())
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) #<representation binary32>) () ())) ())
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) #<representation binary32>) () ())) ())
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#s(alt (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (taylor -inf x) (#s(alt (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (patch (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (taylor -inf x) (#s(alt (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (patch (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (taylor -inf x) (#s(alt (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (patch (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (taylor -inf x) (#s(alt (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (patch (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #<representation binary32>) () ())) ())
#s(alt (/ -1/8 (+ 1 (fabs x))) (taylor -inf x) (#s(alt (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (patch (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #<representation binary32>) () ())) ())
#s(alt (/ -1/8 (+ 1 (fabs x))) (taylor -inf x) (#s(alt (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (patch (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #<representation binary32>) () ())) ())
#s(alt (/ -1/8 (+ 1 (fabs x))) (taylor -inf x) (#s(alt (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (patch (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #<representation binary32>) () ())) ())
#s(alt (/ -1/8 (+ 1 (fabs x))) (taylor -inf x) (#s(alt (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (patch (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32)) (patch #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32)) (patch #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32)) (patch #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32)) (patch #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))) (patch #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))) (patch #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))) (patch #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))) (patch #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (patch #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (patch #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (patch #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (patch #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (patch (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (patch (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (patch (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (patch (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (patch (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ 1 (/ (fabs x) x)))) (taylor -inf x) (#s(alt (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (patch (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))) (taylor -inf x) (#s(alt (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (patch (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x))))) (taylor -inf x) (#s(alt (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (patch (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (patch (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (patch (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (patch (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#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.f32 (fma.f32 x x #s(literal 1 binary32))) (patch (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #<representation binary32>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

10.0ms

((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (* x x)) (log (+ 1 (fabs x)))) (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/ (fabs x) (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x)))) x) (log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x)))) (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (+ (* x x) (- 1 (* x x))) (+ (* (/ (+ (/ -1/8 (+ 1 (fabs x))) -1/8) (+ 1 (fabs x))) (* x x)) (/ 1/2 (+ 1 (fabs x)))) (/ (+ (/ -1/8 (+ 1 (fabs x))) -1/8) (+ 1 (fabs x))) (/ -1/8 (+ 1 (fabs x))) (neg x) (+ (* 1/2 (* x x)) 1) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (- (/ -1/2 x) x) (- (sqrt (+ (* x x) 1)) (fabs x)) (sqrt (+ (* x x) 1)))

6.0ms

-inf

((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (* x x)) (log (+ 1 (fabs x)))) (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/ (fabs x) (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x)))) x) (log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x)))) (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (+ (* x x) (- 1 (* x x))) (+ (* (/ (+ (/ -1/8 (+ 1 (fabs x))) -1/8) (+ 1 (fabs x))) (* x x)) (/ 1/2 (+ 1 (fabs x)))) (/ (+ (/ -1/8 (+ 1 (fabs x))) -1/8) (+ 1 (fabs x))) (/ -1/8 (+ 1 (fabs x))) (neg x) (+ (* 1/2 (* x x)) 1) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (- (/ -1/2 x) x) (- (sqrt (+ (* x x) 1)) (fabs x)) (sqrt (+ (* x x) 1)))

6.0ms

inf

((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (* x x)) (log (+ 1 (fabs x)))) (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/ (fabs x) (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x)))) x) (log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x)))) (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (+ (* x x) (- 1 (* x x))) (+ (* (/ (+ (/ -1/8 (+ 1 (fabs x))) -1/8) (+ 1 (fabs x))) (* x x)) (/ 1/2 (+ 1 (fabs x)))) (/ (+ (/ -1/8 (+ 1 (fabs x))) -1/8) (+ 1 (fabs x))) (/ -1/8 (+ 1 (fabs x))) (neg x) (+ (* 1/2 (* x x)) 1) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (- (/ -1/2 x) x) (- (sqrt (+ (* x x) 1)) (fabs x)) (sqrt (+ (* x x) 1)))

simplify266.0ms (3.3%)

Memory

2.7MiB live, 283.3MiB allocated

Algorithm

1×	egg-herbie

Rules

14 586×	`lower-fma.f64`
14 586×	`lower-fma.f32`
4 612×	`lower-*.f64`
4 612×	`lower-*.f32`
4 486×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	380	5029
1	1175	4763
2	3828	4639
0	8147	4366

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 342

Calls

Call 1

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

Outputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 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.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x) x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 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.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/720 binary32) (+.f32 (+.f32 (/.f32 #s(literal 30 binary32) (.f32 (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 45 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (.f32 x x) (log1p.f32 (fabs.f32 x)))
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 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)))))))
(fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (.f32 x x) (log1p.f32 (fabs.f32 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)))))))
(fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (.f32 x x) (log1p.f32 (fabs.f32 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(fma.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (*.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(fma.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (*.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))
(fma.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (*.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 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.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x) x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 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.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/720 binary32) (+.f32 (+.f32 (/.f32 #s(literal 30 binary32) (.f32 (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 45 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (.f32 x x) (log1p.f32 (fabs.f32 x)))
(* -1 (/ (fabs x) x))
(/.f32 (fabs.f32 x) (neg.f32 x))
(/ (+ (* -1 (fabs x)) (* x (+ (log -1) (log x)))) x)
(/.f32 (-.f32 (*.f32 (+.f32 (log.f32 x) (log.f32 #s(literal -1 binary32))) x) (fabs.f32 x)) x)
(/ (+ (* -1 (fabs x)) (* x (+ (log -1) (log x)))) x)
(/.f32 (-.f32 (*.f32 (+.f32 (log.f32 x) (log.f32 #s(literal -1 binary32))) x) (fabs.f32 x)) x)
(/ (+ (* -1 (fabs x)) (* x (+ (log -1) (log x)))) x)
(/.f32 (-.f32 (*.f32 (+.f32 (log.f32 x) (log.f32 #s(literal -1 binary32))) x) (fabs.f32 x)) x)
(* -1 (/ (fabs x) x))
(/.f32 (fabs.f32 x) (neg.f32 x))
(* -1 (/ (fabs x) x))
(/.f32 (fabs.f32 x) (neg.f32 x))
(* -1 (/ (fabs x) x))
(/.f32 (fabs.f32 x) (neg.f32 x))
(* -1 (/ (fabs x) x))
(/.f32 (fabs.f32 x) (neg.f32 x))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 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.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x) x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 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.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/720 binary32) (+.f32 (+.f32 (/.f32 #s(literal 30 binary32) (.f32 (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 45 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (.f32 x x) (log1p.f32 (fabs.f32 x)))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(fma.f32 (.f32 (fma.f32 #s(literal -1/8 binary32) (.f32 x x) #s(literal 1/2 binary32)) x) x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f32 (.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) x) x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(fabs x)
(fabs.f32 x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log (+ 1 (fabs x)))
(log1p.f32 (fabs.f32 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 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.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x) x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 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.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/720 binary32) (+.f32 (+.f32 (/.f32 #s(literal 30 binary32) (.f32 (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 45 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (.f32 x x) (log1p.f32 (fabs.f32 x)))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(fma.f32 (.f32 (fma.f32 #s(literal -1/8 binary32) (.f32 x x) #s(literal 1/2 binary32)) x) x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f32 (.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) x) x (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)
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(.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) (*.f32 x x)))) (neg.f32 x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) (*.f32 x x)))) (neg.f32 x))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(fma.f32 (/.f32 x (*.f32 x x)) #s(literal -1/2 binary32) (neg.f32 x))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(fma.f32 (/.f32 x (*.f32 x x)) #s(literal -1/2 binary32) (neg.f32 x))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(fma.f32 (/.f32 x (*.f32 x x)) #s(literal -1/2 binary32) (neg.f32 x))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (/ (fabs x) x))))
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) x)) x)
(* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))))
(neg.f32 (fma.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 (fabs.f32 x) x)) x x))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x)))))
(fma.f32 (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) x) (fabs.f32 x)) x) x (neg.f32 x))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(fma.f32 (/.f32 x (*.f32 x x)) #s(literal -1/2 binary32) (neg.f32 x))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) (*.f32 x x)))) (neg.f32 x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) (*.f32 x x)))) (neg.f32 x))

rewrite343.0ms (4.2%)

Memory

-9.6MiB live, 212.7MiB allocated

Rules

5 782×	`lower-*.f64`
5 780×	`lower-*.f32`
5 472×	`lower-fma.f64`
5 466×	`lower-fma.f32`
3 602×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	596
0	101	592
1	416	589
2	3277	575
0	9486	566

Stop Event

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

Counts

29 → 441

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x))))
(fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))
#s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x))))
#s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x)))
(/.f32 (fabs.f32 x) (neg.f32 x))
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))))
(fabs.f32 x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
(copysign.f32 (log.f32 (/.f32 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(log.f32 (/.f32 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(/.f32 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
#s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary32))
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(neg.f32 x)
#s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))
#s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32)))
#s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x)
(-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))

Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -1/8 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -1/8 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (.f32 x x) (log1p.f32 (fabs.f32 x))))
(.f32 (fma.f32 (.f32 (.f32 #s(approx (+ ( (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -1/8 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (.f32 x x)) #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -1/8 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) (.f32 x x) (neg.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -1/8 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (.f32 x x) (neg.f32 (log1p.f32 (fabs.f32 x))))))
(.f32 (+.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32)) (pow.f32 (.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -1/8 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (.f32 x x)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -1/8 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (.f32 x x)) (.f32 #s(approx (+ ( (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -1/8 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) x)) x (.f32 (log1p.f32 (fabs.f32 x)) (-.f32 (log1p.f32 (fabs.f32 x)) (.f32 #s(approx (+ ( (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -1/8 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (.f32 x x)))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)) (.f32 (.f32 (.f32 #s(approx (+ ( (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -1/8 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (.f32 x x)) #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -1/8 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) (.f32 x x))) (-.f32 (log1p.f32 (fabs.f32 x)) (.f32 #s(approx (+ ( (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -1/8 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (.f32 x x))))
(/.f32 (neg.f32 (fma.f32 (.f32 (.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -1/8 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (.f32 x x)) #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -1/8 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) (.f32 x x) (neg.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32))))) (neg.f32 (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -1/8 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (.f32 x x) (neg.f32 (log1p.f32 (fabs.f32 x))))))
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(/.f32 (fma.f32 #s(literal -1/2 binary32) (+.f32 #s(literal 0 binary32) x) (.f32 x (.f32 (neg.f32 x) x))) (*.f32 x (+.f32 #s(literal 0 binary32) x)))
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(/.f32 (fma.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 x x) x)) (neg.f32 x) (.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (.f32 #s(literal 0 binary32) x))) #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (.f32 #s(literal 0 binary32) x))) (neg.f32 x)))
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(/.f32 (fma.f32 (.f32 (neg.f32 x) x) x (.f32 (+.f32 #s(literal 0 binary32) x) #s(literal -1/2 binary32))) (*.f32 (+.f32 #s(literal 0 binary32) x) x))
(/.f32 (fma.f32 (.f32 (neg.f32 x) x) (neg.f32 x) (.f32 (+.f32 #s(literal 0 binary32) x) #s(literal 1/2 binary32))) (*.f32 (+.f32 #s(literal 0 binary32) x) (neg.f32 x)))
(/.f32 (fma.f32 (.f32 (neg.f32 x) x) (/.f32 (.f32 x #s(literal -2 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 #s(literal 0 binary32) x) #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 0 binary32) x) (/.f32 (*.f32 x #s(literal -2 binary32)) #s(literal 1 binary32))))
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(/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 x x)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (neg.f32 x)))
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(/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 x x) x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (-.f32 (.f32 x x) (*.f32 (/.f32 #s(literal -1/2 binary32) x) (neg.f32 x)))))
(/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 x x) x)) (+.f32 (fma.f32 x x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 x x))))
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(-.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) #s(literal 0 binary32)) x)
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(-.f32 (/.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) x)) (+.f32 (fma.f32 x x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))) (/.f32 (.f32 (.f32 x x) x) (+.f32 (fma.f32 x x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))))
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x)
(fma.f32 #s(literal -1 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) (neg.f32 x))
(fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) x) (neg.f32 x))
(fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) x) (neg.f32 x))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x) (neg.f32 x))
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(pow.f32 (/.f32 (+.f32 (fma.f32 x x #s(literal -1/2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (-.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) x)) (.f32 (*.f32 x x) x))) #s(literal -1 binary32))
(+.f32 (/.f32 #s(literal -1/2 binary32) x) (neg.f32 x))
(+.f32 (neg.f32 x) (/.f32 #s(literal -1/2 binary32) x))
(.f32 (/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (.f32 x x))) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(.f32 (/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (.f32 x x))) (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (.f32 (.f32 x x) x))) (-.f32 (fma.f32 x x (fma.f32 x x #s(literal 1 binary32))) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(.f32 (-.f32 (.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (.f32 (.f32 x x) x)) (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (neg.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (neg.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (neg.f32 (-.f32 (.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (.f32 (*.f32 x x) x))) (neg.f32 (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (fabs.f32 x))))
(/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (-.f32 (.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (.f32 (.f32 x x) x)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (.f32 x x) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (fabs.f32 x))))))
(/.f32 (-.f32 (.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (.f32 (*.f32 x x) x)) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (.f32 (*.f32 x x) x))))
(-.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 (*.f32 x x) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(-.f32 (/.f32 (.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))) (/.f32 (.f32 (*.f32 x x) x) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))
(-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(fma.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (fabs.f32 x)))
(fma.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (neg.f32 (fabs.f32 x)))
(fma.f32 (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) x #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))) (neg.f32 (fabs.f32 x)))
(fma.f32 (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) x #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32)) (neg.f32 (fabs.f32 x)))
(fma.f32 (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 x x) x) x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (neg.f32 (fabs.f32 x)))
(fma.f32 (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 x x) x) x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1/2 binary32)) (neg.f32 (fabs.f32 x)))
(fma.f32 #s(literal -1 binary32) (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(pow.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (.f32 (*.f32 x x) x))) #s(literal -1 binary32))
(+.f32 (neg.f32 (fabs.f32 x)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (fabs.f32 x)))
(*.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)))
(.f32 (sqrt.f32 (fma.f32 (.f32 (*.f32 x x) x) x #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(.f32 (sqrt.f32 (fma.f32 (.f32 (*.f32 x x) x) x #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 x x) x) x (-.f32 #s(literal 1 binary32) (.f32 x x))))))
(.f32 (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 x x) x) x (-.f32 #s(literal 1 binary32) (.f32 x x)))) #s(literal 1/2 binary32)))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 (.f32 x x) x) x #s(literal -1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 (.f32 (.f32 x x) x) x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) x) x))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 x x))))
(/.f32 (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x) #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (-.f32 (.f32 (.f32 (.f32 x x) x) x) (.f32 x x)))))
(/.f32 (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (.f32 (.f32 x x) x) x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 (.f32 (.f32 x x) x) x #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 (.f32 (.f32 x x) x) x (-.f32 #s(literal 1 binary32) (.f32 x x))) (fma.f32 (.f32 (.f32 x x) x) (.f32 (*.f32 x x) x) #s(literal 1 binary32)))))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/4 binary32))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32))
(fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(exp.f32 (.f32 (log1p.f32 (.f32 x x)) #s(literal 1/2 binary32)))

eval276.0ms (3.4%)

Memory: 11.2MiB live, 212.2MiB allocated
Compiler: Compiled 26 724 to 2 621 computations (90.2% saved)

prune464.0ms (5.7%)

Memory

-15.4MiB live, 202.9MiB allocated

Pruning

32 alts after pruning (21 fresh and 11 done)

	Pruned	Kept	Total
New	923	7	930
Fresh	1	14	15
Picked	0	5	5
Done	0	6	6
Total	924	32	956

Accuracy

99.8%

Counts

956 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.2%	(copysign.f32 (-.f32 (log.f32 (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x)))) (log.f32 (.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 (.f32 (.f32 x x) x) x (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 x x))))))) x)
	13.6%	(copysign.f32 (-.f32 (log.f32 (fma.f32 (neg.f32 x) x (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
	38.8%	(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)))) x)
✓	15.6%	(copysign.f32 (log.f32 (/.f32 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
	38.8%	(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
	38.9%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))))) x)
✓	18.2%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x)
✓	27.5%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
	29.6%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
✓	30.0%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))))) x)
✓	14.1%	(copysign.f32 (log.f32 #s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (/.f32 #s(literal 1 binary32) x))) x)
	18.4%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 #s(approx (+ (* -1/8 (* x x)) 1/2) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
	28.6%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
	30.5%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
✓	13.1%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
	49.4%	(copysign.f32 #s(approx (log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x)))) (-.f32 (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/720 binary32) (.f32 x x)) (fma.f32 (fma.f32 #s(literal -720 binary32) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/16 binary32) (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/16 binary32) (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal -45 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 (/.f32 #s(literal 45 binary32) (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) #s(literal 60 binary32)))) (.f32 (fma.f32 (+.f32 (/.f32 #s(literal 6 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 3 binary32) (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (/.f32 #s(literal -3 binary32) (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) #s(literal 1/24 binary32))) (.f32 x x) (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (.f32 x x)) (log1p.f32 (neg.f32 (fabs.f32 x))))) x)
	47.4%	(copysign.f32 #s(approx (log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x)))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x))))) x)
	51.8%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 #s(literal 1/720 binary32) (.f32 x x)) #s(literal 45 binary32))) (.f32 (.f32 #s(literal 1/720 binary32) (.f32 x x)) (/.f32 #s(literal 30 binary32) (.f32 (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
✓	54.3%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x)
✓	53.2%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
	14.1%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (neg.f32 x) (fabs.f32 x)) (log.f32 (neg.f32 x)))) x)
✓	69.3%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
✓	14.1%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
	14.4%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) (neg.f32 x)))) x)
	8.1%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 x x) x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) (neg.f32 x)))) x)
	7.6%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 x x) x)) (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))))) x)
	11.9%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (/.f32 (*.f32 (neg.f32 x) x) (+.f32 #s(literal 0 binary32) x))))) x)
✓	15.9%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x)
	6.4%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 x x) x)) (.f32 (*.f32 x x) x)))) x)
	15.9%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (*.f32 (/.f32 #s(literal -1 binary32) x) (fabs.f32 x)))) x)
	12.6%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x))) x)
	15.7%	#s(approx (copysign (log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x)))) x) (copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x))

Compiler

Compiled 1 866 to 590 computations (68.4% saved)

regimes23.0ms (0.3%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

43 → 3

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (*.f32 (/.f32 #s(literal -1 binary32) x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (/.f32 (*.f32 (neg.f32 x) x) (+.f32 #s(literal 0 binary32) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 x x) x)) (.f32 (*.f32 x x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 x x) x)) (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 x x) x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x)))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (/.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 #s(approx (+ (* -1/8 (* x x)) 1/2) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (neg.f32 x) (fabs.f32 x)) (log.f32 (neg.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (log.f32 (neg.f32 x))))) x)
#s(approx (copysign (log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x)))) x) (copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x))
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (/.f32 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 (-.f32 (log.f32 (fma.f32 (neg.f32 x) x (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 #s(literal 1/720 binary32) (.f32 x x)) #s(literal 45 binary32))) (.f32 (.f32 #s(literal 1/720 binary32) (.f32 x x)) (/.f32 #s(literal 30 binary32) (.f32 (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 (-.f32 (log.f32 (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x)))) (log.f32 (.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 (.f32 (.f32 x x) x) x (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 x x))))))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x)))) (-.f32 (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/720 binary32) (.f32 x x)) (fma.f32 (fma.f32 #s(literal -720 binary32) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/16 binary32) (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1/16 binary32) (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal -45 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 (/.f32 #s(literal 45 binary32) (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) #s(literal 60 binary32)))) (.f32 (fma.f32 (+.f32 (/.f32 #s(literal 6 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 3 binary32) (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (/.f32 #s(literal -3 binary32) (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) #s(literal 1/24 binary32))) (.f32 x x) (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (.f32 x x)) (log1p.f32 (neg.f32 (fabs.f32 x))))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x)))) (-.f32 (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/720 binary32) (.f32 x x)) (+.f32 (fma.f32 (.f32 #s(literal -720 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/8 binary32) (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/16 binary32) (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 45 binary32) (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) #s(literal 60 binary32))) (.f32 (fma.f32 (.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/8 binary32) (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal -3 binary32) (.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) #s(literal 1/24 binary32))) (.f32 x x) (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (.f32 x x)) (log1p.f32 (neg.f32 (fabs.f32 x))))) x)
(copysign.f32 (/.f32 (-.f32 (pow.f32 (log.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)) (.f32 (.f32 x x) x))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 x x (.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)) (.f32 (.f32 x x) x))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 x x (.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) #s(literal 2 binary32)) (.f32 (log.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)) (.f32 (.f32 x x) x))) (log1p.f32 (fma.f32 x x (.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))))) x)

Outputs

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)

(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) #s(literal 45 binary32))) (*.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (/.f32 #s(literal 30 binary32) (*.f32 (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)

Calls

2 calls:

11.0ms	x
10.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
98.3%	3	`x`
98.3%	3	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes41.0ms (0.5%)

Memory

-11.9MiB live, 27.3MiB allocated

Counts

38 → 3

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (*.f32 (/.f32 #s(literal -1 binary32) x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (/.f32 (*.f32 (neg.f32 x) x) (+.f32 #s(literal 0 binary32) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 x x) x)) (.f32 (*.f32 x x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 x x) x)) (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 x x) x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x)))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (/.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 #s(approx (+ (* -1/8 (* x x)) 1/2) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (neg.f32 x) (fabs.f32 x)) (log.f32 (neg.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (log.f32 (neg.f32 x))))) x)
#s(approx (copysign (log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x)))) x) (copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x))
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (/.f32 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 (-.f32 (log.f32 (fma.f32 (neg.f32 x) x (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)

Outputs

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)

(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 (*.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)

Calls

2 calls:

10.0ms	x
9.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
97.9%	3	`x`
97.9%	3	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes88.0ms (1.1%)

Memory

-20.0MiB live, 18.4MiB allocated

Counts

36 → 3

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (*.f32 (/.f32 #s(literal -1 binary32) x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (/.f32 (*.f32 (neg.f32 x) x) (+.f32 #s(literal 0 binary32) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 x x) x)) (.f32 (*.f32 x x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 x x) x)) (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 x x) x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x)))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (/.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 #s(approx (+ (* -1/8 (* x x)) 1/2) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (neg.f32 x) (fabs.f32 x)) (log.f32 (neg.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (log.f32 (neg.f32 x))))) x)
#s(approx (copysign (log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x)))) x) (copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x))
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (/.f32 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x)

Outputs

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)

(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)

Calls

2 calls:

78.0ms	x
8.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
97.9%	3	`x`
97.9%	3	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes19.0ms (0.2%)

Memory

19.4MiB live, 19.4MiB allocated

Counts

35 → 3

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (*.f32 (/.f32 #s(literal -1 binary32) x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (/.f32 (*.f32 (neg.f32 x) x) (+.f32 #s(literal 0 binary32) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 x x) x)) (.f32 (*.f32 x x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 x x) x)) (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 x x) x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x)))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (/.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 #s(approx (+ (* -1/8 (* x x)) 1/2) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (neg.f32 x) (fabs.f32 x)) (log.f32 (neg.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (log.f32 (neg.f32 x))))) x)
#s(approx (copysign (log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x)))) x) (copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x))
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (/.f32 #s(approx (+ (* x x) (- 1 (* x x))) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) x)

Outputs

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)

(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x)

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)

Calls

2 calls:

9.0ms	x
8.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
97.3%	3	`x`
97.3%	3	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes36.0ms (0.4%)

Memory

-21.3MiB live, 17.6MiB allocated

Counts

28 → 3

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (*.f32 (/.f32 #s(literal -1 binary32) x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (/.f32 (*.f32 (neg.f32 x) x) (+.f32 #s(literal 0 binary32) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 x x) x)) (.f32 (*.f32 x x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 x x) x)) (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 x x) x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x)))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (/.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 #s(approx (+ (* -1/8 (* x x)) 1/2) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (neg.f32 x) (fabs.f32 x)) (log.f32 (neg.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (log.f32 (neg.f32 x))))) x)
#s(approx (copysign (log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x)))) x) (copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x))
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x)

Outputs

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)

(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x)

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)

Calls

2 calls:

8.0ms	x
7.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
97.3%	3	`x`
97.3%	3	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes15.0ms (0.2%)

Memory

23.1MiB live, 23.1MiB allocated

Counts

27 → 3

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (*.f32 (/.f32 #s(literal -1 binary32) x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (/.f32 (*.f32 (neg.f32 x) x) (+.f32 #s(literal 0 binary32) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 x x) x)) (.f32 (*.f32 x x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 x x) x)) (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 x x) x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x)))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (/.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 #s(approx (+ (* -1/8 (* x x)) 1/2) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (neg.f32 x) (fabs.f32 x)) (log.f32 (neg.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (log.f32 (neg.f32 x))))) x)
#s(approx (copysign (log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x)))) x) (copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x))
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)

Outputs

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)

(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)

Calls

2 calls:

7.0ms	x
7.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
96.1%	3	`x`
96.1%	3	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes28.0ms (0.3%)

Memory

-22.6MiB live, 16.8MiB allocated

Counts

20 → 3

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (*.f32 (/.f32 #s(literal -1 binary32) x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (/.f32 (*.f32 (neg.f32 x) x) (+.f32 #s(literal 0 binary32) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 x x) x)) (.f32 (*.f32 x x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 x x) x)) (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 x x) x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x)))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (/.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 #s(approx (+ (* -1/8 (* x x)) 1/2) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)

Outputs

(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)

(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)

Calls

2 calls:

22.0ms	x
5.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
96.0%	3	`x`
96.0%	3	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

19 → 3

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (*.f32 (/.f32 #s(literal -1 binary32) x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (/.f32 (*.f32 (neg.f32 x) x) (+.f32 #s(literal 0 binary32) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 x x) x)) (.f32 (*.f32 x x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 x x) x)) (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 x x) x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary32))))) x)
(copysign.f32 #s(approx (log (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x)))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (/ (+ (* x x) (- 1 (* x x))) (- (sqrt (+ (* x x) 1)) (fabs x))) (/.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (fma.f32 #s(approx (+ (* -1/8 (* x x)) 1/2) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))))) x)

Outputs

(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)

(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)

(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)

Calls

2 calls:

6.0ms	x
5.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
95.8%	3	`x`
95.8%	3	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

12 → 2

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (*.f32 (/.f32 #s(literal -1 binary32) x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (/.f32 (*.f32 (neg.f32 x) x) (+.f32 #s(literal 0 binary32) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 x x) x)) (.f32 (*.f32 x x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 x x) x)) (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 x x) x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)

Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)

Calls

2 calls:

4.0ms	x
4.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
83.2%	2	`x`
83.2%	2	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes40.0ms (0.5%)

Memory

-23.4MiB live, 13.8MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (*.f32 (/.f32 #s(literal -1 binary32) x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (/.f32 (*.f32 (neg.f32 x) x) (+.f32 #s(literal 0 binary32) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 x x) x)) (.f32 (*.f32 x x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 x x) x)) (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 x x) x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)

Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)

Calls

2 calls:

36.0ms	x
3.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
69.3%	1	`x`
69.3%	1	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (*.f32 (/.f32 #s(literal -1 binary32) x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (/.f32 (*.f32 (neg.f32 x) x) (+.f32 #s(literal 0 binary32) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 x x) x)) (.f32 (*.f32 x x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 x x) x)) (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 x x) x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)

Outputs

(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) (neg.f32 x)))) x)

(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)

Calls

2 calls:

3.0ms	x
3.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
22.1%	2	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`
22.1%	2	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated

Accuracy

Total -3.4b remaining (-12.6%)

Threshold costs -3.4b (-12.6%)

Counts

8 → 1

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (*.f32 (/.f32 #s(literal -1 binary32) x) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (/.f32 (*.f32 (neg.f32 x) x) (+.f32 #s(literal 0 binary32) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 x x) x)) (.f32 (*.f32 x x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 x x) x)) (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 x x) x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) (neg.f32 x)))) x)

Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x)

Calls

2 calls:

3.0ms	x
3.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
15.9%	1	`x`
15.9%	1	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch1.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.8391228318214417	3.3509163856506348
0.0ms	-1.2811061143875122	-0.5675782561302185

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.8391228318214417	3.3509163856506348
0.0ms	-1.2811061143875122	-0.5675782561302185

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.8391228318214417	3.3509163856506348
0.0ms	-1.2811061143875122	-0.5675782561302185

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5326064825057983	0.8391228318214417
0.0ms	-1.2811061143875122	-0.5675782561302185

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5326064825057983	0.8391228318214417
0.0ms	-1.2811061143875122	-0.5675782561302185

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5326064825057983	0.8391228318214417
0.0ms	-1.2811061143875122	-0.5675782561302185

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5326064825057983	0.8391228318214417
0.0ms	-1.2811061143875122	-0.5675782561302185

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.8391228318214417	3.3509163856506348
0.0ms	-1.2811061143875122	-0.5675782561302185

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.8391228318214417	3.3509163856506348

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.8391228318214417	3.3509163856506348

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify15.0ms (0.2%)

Memory

6.4MiB live, 6.4MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`+-commutative_binary32`
34×	`*-commutative_binary32`
24×	`sub-neg_binary32`
18×	`neg-sub0_binary32`
18×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	976
1	175	976
2	196	976
3	216	976
4	232	976
5	237	976
6	238	976

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 1 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 (fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 #s(literal 1/720 binary32) (.f32 x x)) #s(literal 45 binary32))) (.f32 (.f32 #s(literal 1/720 binary32) (.f32 x x)) (/.f32 #s(literal 30 binary32) (.f32 (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 1 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 (fma.f32 (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 1 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 5033165/8388608 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 5033165/8388608 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 (.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 5033165/8388608 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f32 (fabs.f32 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 5033165/8388608 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f32 (fabs.f32 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 1 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 1 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 1 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (/.f32 (.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) (neg.f32 x)))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log.f32 x)) x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x)

Outputs
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 1 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 (fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 #s(literal 1/720 binary32) (.f32 x x)) #s(literal 45 binary32))) (.f32 (.f32 #s(literal 1/720 binary32) (.f32 x x)) (/.f32 #s(literal 30 binary32) (.f32 (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 x x))) (fabs.f32 x))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ ( x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 x x))) (fabs.f32 x))) x) #s(literal 1 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 (fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 (.f32 #s(literal 45 binary32) (.f32 #s(literal 1/720 binary32) (.f32 x x))) #s(literal -1/8 binary32)) (.f32 (/.f32 #s(literal 30 binary32) (.f32 (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (.f32 #s(literal 1/720 binary32) (.f32 x x)))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 1 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 (fma.f32 (.f32 (.f32 (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 x x))) (fabs.f32 x))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ ( x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 x x))) (fabs.f32 x))) x) #s(literal 1 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 3 binary32)) (.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)) #s(literal -1/24 binary32) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 1 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 x x))) (fabs.f32 x))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ ( x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 x x))) (fabs.f32 x))) x) #s(literal 1 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 #s(approx (+ (* (* (* (/ x (+ (fabs x) 1)) x) (+ (/ 3 (+ (fabs x) 1)) 3)) -1/24) (/ 1/2 (+ (fabs x) 1))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 5033165/8388608 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 x x))) (fabs.f32 x))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ ( x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 x x))) (fabs.f32 x))) x) #s(literal 5033165/8388608 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 5033165/8388608 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 (.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 x x))) (fabs.f32 x))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ ( x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 x x))) (fabs.f32 x))) x) #s(literal 5033165/8388608 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 (.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ ( x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 5033165/8388608 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 x x))) (fabs.f32 x))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ ( x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 x x))) (fabs.f32 x))) x) #s(literal 5033165/8388608 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f32 (fabs.f32 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 5033165/8388608 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 x x))) (fabs.f32 x))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f32 (fabs.f32 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 x x))) (fabs.f32 x))) x) #s(literal 5033165/8388608 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f32 (fabs.f32 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 1 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 x x))) (fabs.f32 x))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ ( x x) 1))) (-.f32 (fabs.f32 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 x x))) (fabs.f32 x))) x) #s(literal 1 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 1 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 x x))) (fabs.f32 x))) x) #s(literal 1 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) #s(literal 1 binary32))))) x) #s(literal 1 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (/.f32 (.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) (neg.f32 x)))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log.f32 x)) x))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 x x))) (fabs.f32 x))) x) #s(literal 1 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (/.f32 (.f32 x x) (fabs.f32 x)) (neg.f32 x)))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (log.f32 x)) x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (neg (log (neg x)))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x)

soundness1.6s (19.8%)

Memory

-5.9MiB live, 964.1MiB allocated

Rules

24 610×	`lower-fma.f64`
24 610×	`lower-fma.f32`
14 518×	`lower-fma.f64`
14 518×	`lower-fma.f32`
12 634×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	349	3899
1	1066	3694
2	3517	3586
0	8241	3295
0	169	758
1	490	730
2	1513	717
3	5415	667
0	8408	611
0	333	4396
1	1007	4167
2	3290	4069
0	8324	3816
0	67	596
0	101	592
1	416	589
2	3277	575
0	9486	566

Stop Event

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

Compiler

Compiled 987 to 294 computations (70.2% saved)

preprocess79.0ms (1%)

Memory: -7.5MiB live, 230.4MiB allocated
Compiler: Compiled 1 442 to 236 computations (83.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample562.0ms (6.9%)

explain220.0ms (2.7%)

preprocess12.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize62.0ms (0.8%)

series6.0ms (0.1%)

simplify581.0ms (7.1%)

rewrite173.0ms (2.1%)

eval80.0ms (1%)

prune73.0ms (0.9%)

simplify156.0ms (1.9%)

localize169.0ms (2.1%)

series153.0ms (1.9%)

simplify181.0ms (2.2%)

rewrite214.0ms (2.6%)

eval140.0ms (1.7%)

prune332.0ms (4.1%)

simplify154.0ms (1.9%)

localize172.0ms (2.1%)

series69.0ms (0.8%)

simplify195.0ms (2.4%)

rewrite235.0ms (2.9%)

eval99.0ms (1.2%)

prune169.0ms (2.1%)

simplify205.0ms (2.5%)

localize329.0ms (4%)

series41.0ms (0.5%)

simplify266.0ms (3.3%)

rewrite343.0ms (4.2%)

eval276.0ms (3.4%)

prune464.0ms (5.7%)

regimes23.0ms (0.3%)

regimes41.0ms (0.5%)

regimes88.0ms (1.1%)

regimes19.0ms (0.2%)

regimes36.0ms (0.4%)

regimes15.0ms (0.2%)

regimes28.0ms (0.3%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

regimes40.0ms (0.5%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify15.0ms (0.2%)

soundness1.6s (19.8%)

preprocess79.0ms (1%)

end0.0ms (0%)

Profiling