Metrics for Rust f32::asinh

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

sample828.0ms (7.9%)

Memory

-92.4MiB live, 603.0MiB allocated

Samples

558.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 186.0ms

ival-asinh: 178.0ms (95.4% of total)

ival-true: 5.0ms (2.7% of total)

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

Bogosity

explain208.0ms (2%)

Memory

2.6MiB live, 283.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
133	-	3	(-0.013751859776675701)	`(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))`
57	-	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	129	4
`sqrt.f32`	`(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))`	oflow-rescue	57	0
↳	`(+.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	57
↳	`(*.f32 x x)`	overflow	57
`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	57
↳	`(*.f32 x x)`	overflow	57

Confusion

	Predicted +	Predicted -
+	186	4
-	0	66

Precision

1.0

Recall

0.9789473684210527

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	186	3	1
-	0	1	65

Precision?

0.9947368421052631

Recall?

0.9947368421052631

Freqs

test

number	freq
0	70
1	185
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

36.0ms	186×	1	valid
33.0ms	326×	0	valid

Compiler

Compiled 115 to 31 computations (73% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-hypot: 13.0ms (26.8% of total)

ival-log: 11.0ms (22.7% of total)

ival-add: 6.0ms (12.4% of total)

ival-mult: 6.0ms (12.4% of total)

ival-copysign: 5.0ms (10.3% of total)

adjust: 3.0ms (6.2% of total)

ival-fabs: 3.0ms (6.2% of total)

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

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

exact: 0.0ms (0% of total)

preprocess19.0ms (0.2%)

Memory

3.3MiB live, 41.0MiB 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 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) 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

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.5%	(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

9.0MiB live, 9.0MiB 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 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(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)

localize50.0ms (0.5%)

Memory

-9.1MiB live, 104.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(+.f32 (*.f32 x x) #s(literal 1 binary32))
accuracy	0.02734375	(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy	6.104592989061561	(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
accuracy	13.411049659953722	(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))

Samples

19.0ms	93×	1	valid
14.0ms	163×	0	valid

Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-hypot: 8.0ms (32.2% of total)

ival-log: 6.0ms (24.1% of total)

ival-copysign: 3.0ms (12.1% of total)

ival-add: 3.0ms (12.1% of total)

adjust: 2.0ms (8% of total)

ival-mult: 2.0ms (8% of total)

ival-fabs: 1.0ms (4% 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

13.3MiB live, 13.3MiB 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 (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 (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 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 (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 (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 (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 (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 (* -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 (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 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 (* -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 (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 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 (* -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

15 calls:

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

simplify393.0ms (3.7%)

Memory

6.6MiB live, 522.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	758
1	490	730
2	1511	717
3	5413	667
0	8421	611

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 58

Calls

Call 1

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

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

rewrite290.0ms (2.8%)

Memory

27.6MiB live, 340.8MiB 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
(hypot.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(hypot.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(hypot.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (*.f32 (neg.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(hypot.f32 (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(hypot.f32 (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(hypot.f32 (*.f32 (neg.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(neg.f32 (fma.f32 x (neg.f32 x) #s(literal -1 binary32)))
(exp.f32 (log1p.f32 (*.f32 x x)))
(exp.f32 (.f32 (neg.f32 (log1p.f32 (.f32 x x))) #s(literal -1 binary32)))
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(+.f32 (/.f32 (.f32 x (.f32 x (*.f32 x x))) (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fabs.f32 (fma.f32 x x #s(literal 1 binary32)))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 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 1/2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 4 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 1/4 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (.f32 x (.f32 x x)) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (.f32 #s(literal 2 binary32) (log1p.f32 (.f32 x x))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x x))))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (log1p.f32 (*.f32 x x)))
(fma.f32 x x #s(literal 1 binary32))
(fma.f32 x (/.f32 (.f32 x (.f32 x x)) (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (*.f32 x x) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (.f32 x x) (/.f32 (.f32 x x) (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 #s(literal 1 binary32) (*.f32 x x) #s(literal 1 binary32))
(fma.f32 (fabs.f32 x) (fabs.f32 x) #s(literal 1 binary32))
(fma.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (neg.f32 x) (neg.f32 x) #s(literal 1 binary32))
(fma.f32 (neg.f32 x) (*.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (.f32 x (.f32 x x)) (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (.f32 x (.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 #s(literal -1 binary32) (*.f32 x (neg.f32 x)) #s(literal 1 binary32))
(fma.f32 (fabs.f32 (fabs.f32 x)) (fabs.f32 (fabs.f32 x)) #s(literal 1 binary32))
(fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (/.f32 (.f32 x (.f32 x x)) (+.f32 x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (/.f32 (.f32 x x) (+.f32 x #s(literal 1 binary32))) (/.f32 (.f32 x x) (+.f32 x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (/.f32 (.f32 x (.f32 x x)) (+.f32 x #s(literal 1 binary32))) (/.f32 x (+.f32 x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (*.f32 #s(literal 1 binary32) (neg.f32 x)) (neg.f32 x) #s(literal 1 binary32))
(fma.f32 (*.f32 (neg.f32 x) #s(literal -1 binary32)) x #s(literal 1 binary32))
(fma.f32 (/.f32 (.f32 x (.f32 x (.f32 x x))) (fma.f32 x (.f32 x (*.f32 x x)) #s(literal -1 binary32))) (fma.f32 x x #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (/.f32 (.f32 x (.f32 x (.f32 x x))) (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal -1 binary32))) (fma.f32 x (fma.f32 x (.f32 x x) x) #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (exp.f32 (log.f32 (neg.f32 x))) (exp.f32 (log.f32 (neg.f32 x))) #s(literal 1 binary32))
(-.f32 (/.f32 (.f32 x (.f32 x (*.f32 x x))) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (/.f32 (.f32 x (.f32 x (*.f32 x x))) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (.f32 x (.f32 x x)) #s(literal 1 binary32))))
(/.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 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 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #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 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (fma.f32 x (.f32 x (.f32 x x)) #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32)))
(/.f32 (fma.f32 x (.f32 x (.f32 x x)) #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 (neg.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal 1 binary32))) (neg.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (fma.f32 x (.f32 x (.f32 x x)) #s(literal -1 binary32))) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))
(/.f32 (fma.f32 (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) (.f32 (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 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 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)))) (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal 1 binary32)))))
(/.f32 (fma.f32 (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 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 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal -1 binary32))))
(/.f32 (fma.f32 (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) #s(literal -1 binary32)) (.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x (.f32 x x)))) (fma.f32 x (.f32 x (*.f32 x x)) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (fma.f32 x (.f32 x (.f32 x x)) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))
(/.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) #s(literal -1 binary32)) (.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x (.f32 x (*.f32 x x)) #s(literal 1 binary32))))
(/.f32 (-.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) (fma.f32 x x #s(literal -1 binary32))) (.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))) (.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x (.f32 x (.f32 x x)) #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 x x #s(literal -1 binary32)))))
(/.f32 (.f32 (sqrt.f32 (fma.f32 x (.f32 x (.f32 x x)) #s(literal -1 binary32))) (sqrt.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 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)))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) (.f32 (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)))) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)))) (fma.f32 (.f32 x (.f32 x x)) (.f32 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 x (.f32 x x)) (.f32 x (.f32 x x))) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 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 x (.f32 x x)) (.f32 x (.f32 x x))) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 x (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x (.f32 x x)))) (fma.f32 x (.f32 x (.f32 x x)) #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 x (.f32 x (.f32 x x)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 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 (neg.f32 (fma.f32 x (.f32 x (.f32 x x)) #s(literal 1 binary32))) (neg.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 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 (neg.f32 (fma.f32 x (.f32 x (.f32 x x)) #s(literal -1 binary32)))) (neg.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
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(pow.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 2 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 (/.f32 #s(literal 1 binary32) (fma.f32 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 x (.f32 x x)) (.f32 x (*.f32 x x)) #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x (.f32 x (.f32 x x)) #s(literal -1 binary32)))) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log1p.f32 (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 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 x (.f32 x x)) (.f32 x (*.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 x (.f32 x (.f32 x x)) #s(literal -1 binary32)))))
(/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.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 (sqrt.f32 (fma.f32 x (.f32 x (.f32 x x)) #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 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 (neg.f32 (fma.f32 x (.f32 x (.f32 x x)) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (fma.f32 x (.f32 x (.f32 x x)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 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 (neg.f32 (sqrt.f32 (fma.f32 x (.f32 x (.f32 x x)) #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 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 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 x (.f32 x (.f32 x x)) #s(literal -1 binary32))))) (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 x x #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(.f32 (sqrt.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal 1 binary32))) (sqrt.f32 (/.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 (.f32 x (*.f32 x x)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (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 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))

eval46.0ms (0.4%)

Memory: -16.8MiB live, 81.3MiB allocated
Compiler: Compiled 10 068 to 1 574 computations (84.4% saved)

prune216.0ms (2.1%)

Memory

-21.7MiB live, 168.5MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	311	19	330
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	311	20	331

Accuracy

99.8%

Counts

331 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.7%	(copysign.f32 (-.f32 (log.f32 (-.f32 (.f32 (.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))) (log.f32 (.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
▶	73.9%	(copysign.f32 (+.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))))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (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)))))) x)
	37.5%	(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
	16.9%	(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 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) x)
	37.5%	(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
	36.1%	(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)
✓	37.5%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
▶	32.6%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
	20.2%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x)
▶	30.7%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
	33.6%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
	21.4%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x)
	20.3%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
	56.2%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (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 #s(literal -1/8 binary32) (.f32 (.f32 (.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (.f32 (.f32 (.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))) x)
	58.1%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x)
	57.6%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (.f32 x (fma.f32 #s(literal -1/24 binary32) (.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) x)
▶	10.0%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)))) x)
	10.5%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x)
	70.7%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
▶	9.9%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)

Compiler

Compiled 805 to 393 computations (51.2% saved)

simplify321.0ms (3%)

Memory

2.4MiB live, 355.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f32 (log.f32 x) (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)))
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x))))
cost-diff	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)))) x)
cost-diff	256	(fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (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(literal 1 binary32)))
cost-diff	0	(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* 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(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	(+.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))))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (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))))))
cost-diff	0	(copysign.f32 (+.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))))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (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)))))) x)
cost-diff	32	(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)))
cost-diff	32	(fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))

Rules

10 924×	`lower-fma.f64`
10 916×	`lower-fma.f32`
2 860×	`lower-*.f64`
2 856×	`lower-*.f32`
2 096×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	470
0	79	470
1	111	466
2	155	466
3	229	466
4	314	462
5	466	462
6	788	462
7	1485	462
8	2477	454
9	3346	454
10	4216	454
11	4797	454
12	5207	454
13	5572	454
14	6230	454
15	6599	454
16	6735	454
17	6803	454
18	6979	454
19	7733	454
0	8222	449

Stop Event

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

Calls

Call 1

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

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

localize259.0ms (2.5%)

Memory

1.4MiB live, 135.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32))
accuracy	0.09133894190950854	(fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x))
accuracy	0.2183359497855148	(/.f32 #s(literal 1 binary32) (*.f32 x x))
accuracy	9.93761060596678	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x))))
accuracy	0.00390625	(-.f32 (/.f32 #s(literal -1/2 binary32) x) x)
accuracy	0.01171875	(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
accuracy	6.305379018570007	(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
accuracy	12.882493567852293	#s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
accuracy	0	(fabs.f32 x)
accuracy	0.01171875	(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))
accuracy	5.0416553763424075	#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32))
accuracy	6.305379018570007	(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #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	10.443106549487492	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
accuracy	2.281585462578749	(/.f32 (+.f32 (fabs.f32 x) (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))))
accuracy	2.4659923583778607	(log1p.f32 (fma.f32 x x (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
accuracy	4.322515601142535	(-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
accuracy	6.178948976922968	(log.f32 (/.f32 (+.f32 (fabs.f32 x) (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)))))

Samples

124.0ms	77×	1	valid
34.0ms	151×	0	invalid
6.0ms	28×	0	valid

Compiler

Compiled 452 to 32 computations (92.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

ival-log: 98.0ms (66.9% of total)

ival-add: 11.0ms (7.5% of total)

ival-div: 7.0ms (4.8% of total)

ival-hypot: 6.0ms (4.1% of total)

ival-mult: 6.0ms (4.1% of total)

adjust: 5.0ms (3.4% of total)

ival-copysign: 5.0ms (3.4% of total)

ival-sub: 3.0ms (2% of total)

ival-log1p: 3.0ms (2% of total)

ival-fabs: 1.0ms (0.7% of total)

exact: 1.0ms (0.7% of total)

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

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

series97.0ms (0.9%)

Memory

25.6MiB live, 178.1MiB allocated

Counts

27 → 324

Calls

Call 1

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

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

81 calls:

Time	Variable		Point	Expression
27.0ms	x	@	0	(log x)
24.0ms	x	@	-inf	(log x)
7.0ms	x	@	0	(+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))))
6.0ms	x	@	inf	(log x)
4.0ms	x	@	-inf	(+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))))

simplify406.0ms (3.9%)

Memory

-14.7MiB live, 440.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 404×	`lower-fma.f64`
10 404×	`lower-fma.f32`
5 432×	`lower-*.f64`
5 432×	`lower-*.f32`
5 082×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	680	8542
1	2163	8020
2	7971	8012
0	8200	7279

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 319

Calls

Call 1

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

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

rewrite403.0ms (3.8%)

Memory

2.4MiB live, 540.3MiB allocated

Rules

5 090×	`lower-*.f64`
5 086×	`lower-*.f32`
4 370×	`lower-fma.f64`
4 362×	`lower-fma.f32`
3 960×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	413
0	79	413
1	282	401
2	2337	397
0	9178	397

Stop Event

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

Counts

27 → 706

Calls

Call 1

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

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

eval349.0ms (3.3%)

Memory: 1.9MiB live, 395.2MiB allocated
Compiler: Compiled 59 953 to 4 644 computations (92.3% saved)

prune202.0ms (1.9%)

Memory

8.8MiB live, 534.4MiB allocated

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	1 192	6	1 198
Fresh	1	13	14
Picked	1	4	5
Done	0	1	1
Total	1 194	24	1 218

Accuracy

99.8%

Counts

1 218 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.7%	(copysign.f32 (-.f32 (log.f32 (-.f32 (.f32 (.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))) (log.f32 (.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
	14.2%	(copysign.f32 (+.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (.f32 x x)) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (.f32 x x))))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (.f32 x x)))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (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)))))) x)
✓	73.9%	(copysign.f32 (+.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))))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (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)))))) x)
	35.9%	(copysign.f32 (+.f32 (log.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)))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (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)))))) x)
	37.5%	(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x)
▶	16.9%	(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 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) x)
▶	37.5%	(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
	36.1%	(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)
✓	37.5%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
✓	32.6%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
	20.2%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x)
✓	30.7%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
	33.6%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
	21.4%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x)
	20.3%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
▶	10.5%	(copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))) x)
	56.2%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (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 #s(literal -1/8 binary32) (.f32 (.f32 (.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (.f32 (.f32 (.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))) x)
	58.1%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x)
	57.6%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (.f32 x (fma.f32 #s(literal -1/24 binary32) (.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) x)
	10.9%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) #s(approx (+ (* 1/2 (+ (/ 1 (* x x)) -1)) (/ (fabs x) x)) (+.f32 #s(literal -1/2 binary32) (/.f32 (fabs.f32 x) x))))) x)
▶	70.7%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
✓	9.9%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
	8.7%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (+ (* 1/2 (+ (/ 1 (* x x)) -1)) (/ (fabs x) x))) (/.f32 (fma.f32 x (fabs.f32 x) #s(literal 1/2 binary32)) (*.f32 x x)))) x)
▶	7.4%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (+ (* 1/2 (+ (/ 1 (* x x)) -1)) (/ (fabs x) x))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) x)

Compiler

Compiled 1 019 to 443 computations (56.5% saved)

simplify262.0ms (2.5%)

Memory

-12.2MiB live, 306.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))))
cost-diff	0	(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 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) x)
cost-diff	352	(/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
cost-diff	448	(fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))
cost-diff	0	(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
cost-diff	0	(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
cost-diff	0	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
cost-diff	0	(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
cost-diff	0	(/.f32 (fabs.f32 x) x)
cost-diff	0	(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
cost-diff	0	#s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x)))
cost-diff	0	(copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))) x)
cost-diff	0	(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
cost-diff	0	#s(approx (+ (log x) (+ (* 1/2 (+ (/ 1 (* x x)) -1)) (/ (fabs x) x))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (+ (* 1/2 (+ (/ 1 (* x x)) -1)) (/ (fabs x) x))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))
cost-diff	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (+ (* 1/2 (+ (/ 1 (* x x)) -1)) (/ (fabs x) x))) (/.f32 #s(literal 1/2 binary32) (*.f32 x 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

16 590×	`lower-fma.f64`
16 586×	`lower-fma.f32`
2 246×	`lower-*.f64`
2 244×	`lower-*.f32`
2 186×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	411
0	81	411
1	130	405
2	190	370
3	305	360
4	433	356
5	752	356
6	1467	356
7	3837	356
8	6474	356
0	8032	347

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

localize411.0ms (3.9%)

Memory

22.3MiB live, 225.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.24350043107433	(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
accuracy	4.322515601142535	(-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
accuracy	4.750723100596049	(fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))
accuracy	6.175244308468877	(log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))
accuracy	0	(fabs.f32 x)
accuracy	0.01171875	(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
accuracy	2.24350043107433	(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
accuracy	6.305379018570007	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
accuracy	0	(log.f32 x)
accuracy	0	(fabs.f32 x)
accuracy	0.01171875	(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
accuracy	10.17729391642471	#s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x)))
accuracy	0	(*.f32 x x)
accuracy	0.21265000608244883	(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
accuracy	5.252103938353395	#s(approx (+ (log x) (+ (* 1/2 (+ (/ 1 (* x x)) -1)) (/ (fabs x) x))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))
accuracy	9.93761060596678	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (+ (* 1/2 (+ (/ 1 (* x x)) -1)) (/ (fabs x) x))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))
accuracy	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
accuracy	0	(fabs.f32 x)
accuracy	0.00390625	(log1p.f32 (fabs.f32 x))
accuracy	3.4106228077686125	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))

Samples

123.0ms	78×	1	valid
118.0ms	151×	0	invalid
63.0ms	27×	0	valid

Compiler

Compiled 372 to 44 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 214.0ms

ival-log: 92.0ms (42.9% of total)

ival-add: 72.0ms (33.6% of total)

ival-div: 9.0ms (4.2% of total)

ival-copysign: 9.0ms (4.2% of total)

adjust: 7.0ms (3.3% of total)

ival-mult: 7.0ms (3.3% of total)

ival-hypot: 6.0ms (2.8% of total)

ival-log1p: 5.0ms (2.3% of total)

ival-sub: 3.0ms (1.4% of total)

ival-fabs: 2.0ms (0.9% of total)

ival-neg: 2.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series273.0ms (2.6%)

Memory

-29.0MiB live, 92.3MiB allocated

Counts

24 → 288

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

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

Calls

72 calls:

Time	Variable		Point	Expression
85.0ms	x	@	-inf	(log (+ 1 (fabs x)))
73.0ms	x	@	0	(log (+ 1 (fabs x)))
30.0ms	x	@	inf	(log (+ 1 (fabs x)))
1.0ms	x	@	0	(neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* x (neg x)) 1)))))
0.0ms	x	@	inf	(neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* x (neg x)) 1)))))

simplify623.0ms (5.9%)

Memory

21.3MiB live, 367.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 666×	`lower-fma.f64`
11 666×	`lower-fma.f32`
5 948×	`lower-*.f64`
5 948×	`lower-*.f32`
3 746×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	512	5615
1	1611	5238
2	5929	5105
0	8236	4686

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 284

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

rewrite525.0ms (5%)

Memory

5.5MiB live, 574.3MiB allocated

Rules

6 212×	`lower-fma.f64`
6 206×	`lower-fma.f32`
6 200×	`lower-*.f64`
6 198×	`lower-*.f32`
3 724×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	377
0	81	347
1	331	264
2	2889	256
0	10126	253

Stop Event

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

Counts

24 → 637

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

eval181.0ms (1.7%)

Memory: 13.8MiB live, 329.7MiB allocated
Compiler: Compiled 32 216 to 3 326 computations (89.7% saved)

prune156.0ms (1.5%)

Memory

-19.9MiB live, 377.5MiB allocated

Pruning

30 alts after pruning (21 fresh and 9 done)

	Pruned	Kept	Total
New	1 010	10	1 020
Fresh	3	11	14
Picked	1	4	5
Done	0	5	5
Total	1 014	30	1 044

Accuracy

99.8%

Counts

1 044 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.7%	(copysign.f32 (-.f32 (log.f32 (-.f32 (.f32 (.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))) (log.f32 (.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
✓	73.9%	(copysign.f32 (+.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))))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (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)))))) x)
	35.9%	(copysign.f32 (+.f32 (log.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)))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (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)))))) x)
	37.5%	(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
	13.2%	(copysign.f32 (neg.f32 (log.f32 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* x (neg x)) 1))) (fma.f32 (.f32 (fma.f32 (.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32)) x) x (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))) x)
	20.4%	(copysign.f32 (neg.f32 (log.f32 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* x (neg x)) 1))) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))) x)
	10.8%	(copysign.f32 (neg.f32 (log.f32 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* x (neg x)) 1))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
	53.8%	(copysign.f32 (neg.f32 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* x (neg x)) 1)))) (fma.f32 x (.f32 x (fma.f32 (.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (-.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 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (neg.f32 (fabs.f32 x)))))) x)
	53.2%	(copysign.f32 (neg.f32 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* x (neg x)) 1)))) (fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (neg.f32 (fabs.f32 x)))))) x)
✓	37.5%	(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
	36.1%	(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)
✓	37.5%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
✓	32.6%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
	20.2%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x)
✓	30.7%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
	33.6%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
	21.4%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x)
▶	20.3%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
✓	10.5%	(copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))) x)
▶	15.7%	(copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x))) x)
▶	58.4%	(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x)))) x)
	56.2%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (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 #s(literal -1/8 binary32) (.f32 (.f32 (.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (.f32 (.f32 (.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))) x)
▶	57.6%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (.f32 x (fma.f32 #s(literal -1/24 binary32) (.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) x)
	10.9%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) #s(approx (+ (* 1/2 (+ (/ 1 (* x x)) -1)) (/ (fabs x) x)) (+.f32 #s(literal -1/2 binary32) (/.f32 (fabs.f32 x) x))))) x)
	40.3%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))))) x)
✓	70.7%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
✓	9.9%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
	8.7%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (+ (* 1/2 (+ (/ 1 (* x x)) -1)) (/ (fabs x) x))) (/.f32 (fma.f32 x (fabs.f32 x) #s(literal 1/2 binary32)) (*.f32 x x)))) x)
✓	7.4%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (+ (* 1/2 (+ (/ 1 (* x x)) -1)) (/ (fabs x) x))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) x)
▶	18.4%	#s(approx (copysign (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* x (neg x)) 1))))) x) (copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x))

Compiler

Compiled 1 053 to 514 computations (51.2% saved)

simplify313.0ms (3%)

Memory

-5.4MiB live, 242.9MiB 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 x (.f32 x (fma.f32 #s(literal -1/24 binary32) (.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))))
cost-diff	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (.f32 x (fma.f32 #s(literal -1/24 binary32) (.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) x)
cost-diff	160	(fma.f32 #s(literal -1/24 binary32) (.f32 (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
cost-diff	512	(.f32 x (fma.f32 #s(literal -1/24 binary32) (.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
cost-diff	0	(log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
cost-diff	0	(neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
cost-diff	0	(copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)
cost-diff	0	#s(approx (copysign (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* x (neg x)) 1))))) x) (copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x))
cost-diff	0	(+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))
cost-diff	0	(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))))
cost-diff	0	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
cost-diff	0	(/.f32 (fabs.f32 x) x)
cost-diff	0	#s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x))
cost-diff	0	#s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x)))
cost-diff	0	(copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x))) x)
cost-diff	0	(*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
cost-diff	0	(fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x)))
cost-diff	0	#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))))
cost-diff	0	(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x)))) x)

Rules

12 202×	`lower-fma.f64`
12 192×	`lower-fma.f32`
3 754×	`lower-*.f64`
3 744×	`lower-*.f32`
1 620×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	626
0	113	635
1	189	631
2	338	617
3	882	588
4	2192	584
5	4548	584
6	6768	584
0	8075	573

Stop Event

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

Calls

Call 1

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

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

localize499.0ms (4.7%)

Memory

30.0MiB live, 344.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.09279252930532605	(.f32 (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))
accuracy	0.1437802739577745	(fma.f32 #s(literal -1/24 binary32) (.f32 (/.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
accuracy	2.259125431074329	(/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
accuracy	5.268586611370146	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (.f32 x (fma.f32 #s(literal -1/24 binary32) (.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))))
accuracy	0	#s(approx (copysign (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* x (neg x)) 1))))) x) (copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x))
accuracy	2.243500431074329	(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
accuracy	4.322515601142535	(-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
accuracy	6.175244308468877	(log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
accuracy	0	(*.f32 x #s(literal 1/2 binary32))
accuracy	0	(fabs.f32 x)
accuracy	4.557515475338817	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))
accuracy	6.305379018570007	(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))))
accuracy	0	(/.f32 (fabs.f32 x) x)
accuracy	0	(fabs.f32 x)
accuracy	10.17729391642471	#s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x)))
accuracy	11.724118036501853	#s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x))
accuracy	0.01171875	(fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x)))
accuracy	0.01171875	(/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
accuracy	0.0703125	(*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
accuracy	4.9070407588941904	#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))))

Samples

266.0ms	78×	1	valid
125.0ms	151×	0	invalid
11.0ms	27×	0	valid

Compiler

Compiled 497 to 62 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 293.0ms

ival-mult: 81.0ms (27.6% of total)

ival-copysign: 68.0ms (23.2% of total)

adjust: 44.0ms (15% of total)

ival-add: 37.0ms (12.6% of total)

ival-log: 24.0ms (8.2% of total)

ival-div: 13.0ms (4.4% of total)

ival-hypot: 7.0ms (2.4% of total)

ival-log1p: 5.0ms (1.7% of total)

const: 4.0ms (1.4% of total)

ival-sub: 3.0ms (1% of total)

ival-neg: 3.0ms (1% of total)

ival-fabs: 1.0ms (0.3% of total)

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

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

exact: 0.0ms (0% of total)

series49.0ms (0.5%)

Memory

-20.7MiB live, 52.2MiB allocated

Counts

27 → 324

Calls

Call 1

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

Calls

81 calls:

Time	Variable		Point	Expression
11.0ms	x	@	0	(+ (* x (* x (/ 1/2 (+ (fabs x) 1)))) (log (+ 1 (fabs x))))
2.0ms	x	@	-inf	(* x (+ (* -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x)))))
1.0ms	x	@	0	(* x (+ (* -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x)))))
1.0ms	x	@	inf	(* x (+ (* -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x)))))
1.0ms	x	@	inf	(+ (* x (* x (/ 1/2 (+ (fabs x) 1)))) (log (+ 1 (fabs x))))

simplify306.0ms (2.9%)

Memory

-4.7MiB live, 470.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 026×	`lower-fma.f64`
12 026×	`lower-fma.f32`
6 270×	`lower-*.f64`
6 270×	`lower-*.f32`
4 076×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	523	6789
1	1664	6338
2	6165	6184
0	8268	5742

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 321

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

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

rewrite426.0ms (4.1%)

Memory

37.6MiB live, 709.4MiB allocated

Rules

6 906×	`lower-*.f64`
6 896×	`lower-*.f32`
6 810×	`lower-fma.f64`
6 800×	`lower-fma.f32`
4 456×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	524
0	113	520
1	447	440
2	3943	433
0	11600	433

Stop Event

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

Counts

27 → 697

Calls

Call 1

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

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

eval230.0ms (2.2%)

Memory: -12.4MiB live, 306.8MiB allocated
Compiler: Compiled 45 679 to 4 759 computations (89.6% saved)

prune228.0ms (2.2%)

Memory

3.2MiB live, 434.9MiB allocated

Pruning

37 alts after pruning (24 fresh and 13 done)

	Pruned	Kept	Total
New	1 186	8	1 194
Fresh	0	16	16
Picked	1	4	5
Done	0	9	9
Total	1 187	37	1 224

Accuracy

99.8%

Counts

1 224 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.7%	(copysign.f32 (-.f32 (log.f32 (-.f32 (.f32 (.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))) (log.f32 (.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
✓	73.9%	(copysign.f32 (+.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))))))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (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)))))) x)
	35.9%	(copysign.f32 (+.f32 (log.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)))) (log.f32 (/.f32 (+.f32 (fabs.f32 x) (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)))))) x)
	37.5%	(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x)
	13.2%	(copysign.f32 (neg.f32 (log.f32 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* x (neg x)) 1))) (fma.f32 (.f32 (fma.f32 (.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32)) x) x (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))) x)
	20.4%	(copysign.f32 (neg.f32 (log.f32 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* x (neg x)) 1))) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))) x)
	10.8%	(copysign.f32 (neg.f32 (log.f32 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* x (neg x)) 1))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
	53.8%	(copysign.f32 (neg.f32 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* x (neg x)) 1)))) (fma.f32 x (.f32 x (fma.f32 (.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (-.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 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (neg.f32 (fabs.f32 x)))))) x)
	53.2%	(copysign.f32 (neg.f32 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* x (neg x)) 1)))) (fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (neg.f32 (fabs.f32 x)))))) x)
✓	37.5%	(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
	36.1%	(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)
✓	37.5%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
✓	32.6%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
	20.2%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x)
✓	30.7%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
	33.6%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
	21.4%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x)
	13.0%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32))) (fabs.f32 x))))) x)
✓	20.3%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
	13.0%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ 1 (+ (* x (* x 1/2)) (fabs x))) (.f32 (.f32 x x) #s(literal 1/2 binary32))))) x)
✓	10.5%	(copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))) x)
	14.3%	(copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x))) x)
	8.3%	(copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (.f32 x (.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x)
✓	15.7%	(copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x))) x)
	6.7%	(copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) #s(approx (+ (/ (fabs x) x) (log x)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))) (.f32 x (*.f32 x x))))) x)
	15.7%	(copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) #s(approx (+ (/ (fabs x) x) (log x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x)
✓	58.4%	(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x)))) x)
	12.4%	(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* x (* x (/ 1/2 (+ (fabs x) 1)))) (log (+ 1 (fabs x)))) (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) x)
	56.2%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (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 #s(literal -1/8 binary32) (.f32 (.f32 (.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (.f32 (.f32 (.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))) x)
	57.6%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (.f32 x #s(approx (+ ( -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x)))) (fma.f32 (*.f32 x x) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) (log1p.f32 (fabs.f32 x)))) x)
	10.9%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) #s(approx (+ (* 1/2 (+ (/ 1 (* x x)) -1)) (/ (fabs x) x)) (+.f32 #s(literal -1/2 binary32) (/.f32 (fabs.f32 x) x))))) x)
	40.3%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))))) x)
✓	70.7%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
✓	9.9%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
	8.7%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (+ (* 1/2 (+ (/ 1 (* x x)) -1)) (/ (fabs x) x))) (/.f32 (fma.f32 x (fabs.f32 x) #s(literal 1/2 binary32)) (*.f32 x x)))) x)
✓	7.4%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (+ (* 1/2 (+ (/ 1 (* x x)) -1)) (/ (fabs x) x))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) x)
✓	18.4%	#s(approx (copysign (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* x (neg x)) 1))))) x) (copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x))

Compiler

Compiled 1 564 to 573 computations (63.4% saved)

regimes24.0ms (0.2%)

Memory

7.5MiB live, 45.6MiB allocated

Counts

44 → 3

Calls

Call 1

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

12.0ms	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)

regimes28.0ms (0.3%)

Memory

-18.3MiB live, 35.0MiB allocated

Counts

39 → 3

Calls

Call 1

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

17.0ms	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
98.1%	3	`x`
98.1%	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)

regimes19.0ms (0.2%)

Memory

28.4MiB live, 28.4MiB allocated

Counts

36 → 3

Calls

Call 1

Inputs
(copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (+ (* 1/2 (+ (/ 1 (* x x)) -1)) (/ (fabs x) x))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) x)
(copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) #s(approx (+ (/ (fabs x) x) (log 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 (+ (log x) (+ (* 1/2 (+ (/ 1 (* x x)) -1)) (/ (fabs x) x))) (/.f32 (fma.f32 x (fabs.f32 x) #s(literal 1/2 binary32)) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* x (* x (/ 1/2 (+ (fabs x) 1)))) (log (+ 1 (fabs x)))) (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) x)
(copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x))) x)
(copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) #s(approx (+ (/ (fabs x) x) (log x)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))) (.f32 x (*.f32 x x))))) x)
(copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (.f32 x (.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) 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))) (+.f32 x (fabs.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 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (neg.f32 (log.f32 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* x (neg x)) 1))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ 1 (+ (* x (* x 1/2)) (fabs x))) (.f32 (.f32 x x) #s(literal 1/2 binary32))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
(copysign.f32 (neg.f32 (log.f32 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* x (neg x)) 1))) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) #s(approx (+ (* 1/2 (+ (/ 1 (* x x)) -1)) (/ (fabs x) x)) (+.f32 #s(literal -1/2 binary32) (/.f32 (fabs.f32 x) 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)
(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 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
#s(approx (copysign (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* x (neg x)) 1))))) 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))) (+.f32 #s(literal 1 binary32) (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32))) (fabs.f32 x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 (neg.f32 (log.f32 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* x (neg x)) 1))) (fma.f32 (.f32 (fma.f32 (.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32)) x) x (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))) x)
(copysign.f32 (neg.f32 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* x (neg x)) 1)))) (fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (neg.f32 (fabs.f32 x)))))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) 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 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) 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 (fma.f32 x (neg.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)))) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 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
97.4%	3	`x`
97.4%	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)

regimes16.0ms (0.2%)

Memory

-4.2MiB live, 34.3MiB allocated

Counts

27 → 3

Calls

Call 1

Inputs
(copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (+ (* 1/2 (+ (/ 1 (* x x)) -1)) (/ (fabs x) x))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) x)
(copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) #s(approx (+ (/ (fabs x) x) (log 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 (+ (log x) (+ (* 1/2 (+ (/ 1 (* x x)) -1)) (/ (fabs x) x))) (/.f32 (fma.f32 x (fabs.f32 x) #s(literal 1/2 binary32)) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* x (* x (/ 1/2 (+ (fabs x) 1)))) (log (+ 1 (fabs x)))) (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) x)
(copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x))) x)
(copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) #s(approx (+ (/ (fabs x) x) (log x)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))) (.f32 x (*.f32 x x))))) x)
(copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (.f32 x (.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) 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))) (+.f32 x (fabs.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 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (neg.f32 (log.f32 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* x (neg x)) 1))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ 1 (+ (* x (* x 1/2)) (fabs x))) (.f32 (.f32 x x) #s(literal 1/2 binary32))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
(copysign.f32 (neg.f32 (log.f32 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* x (neg x)) 1))) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) #s(approx (+ (* 1/2 (+ (/ 1 (* x x)) -1)) (/ (fabs x) x)) (+.f32 #s(literal -1/2 binary32) (/.f32 (fabs.f32 x) 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)
(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 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
#s(approx (copysign (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* x (neg x)) 1))))) 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))) (+.f32 #s(literal 1 binary32) (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32))) (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)))) (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
94.7%	3	`x`
94.7%	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)

regimes13.0ms (0.1%)

Memory

-20.2MiB live, 18.4MiB allocated

Counts

21 → 3

Calls

Call 1

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

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:

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

Results

Accuracy	Segments	Branch
94.5%	3	`x`
94.5%	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

16.2MiB live, 16.2MiB allocated

Counts

20 → 3

Calls

Call 1

Inputs
(copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (+ (* 1/2 (+ (/ 1 (* x x)) -1)) (/ (fabs x) x))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) x)
(copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) #s(approx (+ (/ (fabs x) x) (log 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 (+ (log x) (+ (* 1/2 (+ (/ 1 (* x x)) -1)) (/ (fabs x) x))) (/.f32 (fma.f32 x (fabs.f32 x) #s(literal 1/2 binary32)) (*.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* x (* x (/ 1/2 (+ (fabs x) 1)))) (log (+ 1 (fabs x)))) (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) x)
(copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x))) x)
(copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) #s(approx (+ (/ (fabs x) x) (log x)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))) (.f32 x (*.f32 x x))))) x)
(copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (.f32 x (.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) 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))) (+.f32 x (fabs.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 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x)
(copysign.f32 (neg.f32 (log.f32 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* x (neg x)) 1))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ 1 (+ (* x (* x 1/2)) (fabs x))) (.f32 (.f32 x x) #s(literal 1/2 binary32))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x)
(copysign.f32 (neg.f32 (log.f32 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* x (neg x)) 1))) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) #s(approx (+ (* 1/2 (+ (/ 1 (* x x)) -1)) (/ (fabs x) x)) (+.f32 #s(literal -1/2 binary32) (/.f32 (fabs.f32 x) 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 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 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
94.3%	3	`x`
94.3%	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)

regimes8.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

11 → 2

Calls

Call 1

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

Calls

2 calls:

4.0ms	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
79.0%	2	`x`
79.0%	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)

regimes18.0ms (0.2%)

Memory

-27.8MiB live, 10.7MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
3.0ms	x

Results

Accuracy	Segments	Branch
70.7%	1	`x`
70.7%	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

9.9MiB live, 9.9MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

(copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) 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
19.6%	2	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`
19.6%	2	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Accuracy

Total -3.7b remaining (-13.8%)

Threshold costs -3.7b (-13.8%)

Counts

8 → 1

Calls

Call 1

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

Outputs

(copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) 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
15.7%	1	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`
15.7%	1	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.46363985538482666	1.0628747940063477
0.0ms	-0.988211452960968	-0.8309712409973145

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.46363985538482666	1.0628747940063477
0.0ms	-0.988211452960968	-0.8309712409973145

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.46363985538482666	1.0628747940063477
0.0ms	-0.8309712409973145	-0.7920870184898376

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.46363985538482666	1.0628747940063477
0.0ms	-0.7920870184898376	-0.2261608988046646

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.46363985538482666	1.0628747940063477
0.0ms	-0.988211452960968	-0.8309712409973145

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.46363985538482666	1.0628747940063477
0.0ms	-0.988211452960968	-0.8309712409973145

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.46363985538482666	1.0628747940063477

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.2746098041534424	14.644946098327637

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify26.0ms (0.2%)

Memory

-24.0MiB live, 16.2MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative_binary32`
12×	`*-commutative_binary32`
6×	`sub-neg_binary32`
2×	`neg-sub0_binary32`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	828
1	147	828
2	152	828
3	154	828
4	155	828

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 -7549747/8388608 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 1/2 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (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 #s(literal -1/8 binary32) (.f32 (.f32 (.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (.f32 (.f32 (.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 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 -7549747/8388608 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 1/2 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 x (.f32 x #s(approx (+ ( -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x)))) (fma.f32 (.f32 x x) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.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 -13421773/16777216 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 1/2 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 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 -1/2 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 1/2 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 -7549747/8388608 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 1/2 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 -7549747/8388608 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 1/2 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 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 1/2 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 x (fabs.f32 x)))) x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(if (<=.f32 x #s(literal 2 binary32)) (copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x))
(copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) 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 -7549747/8388608 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 1/2 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (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 #s(literal -1/8 binary32) (.f32 (.f32 (.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (.f32 (.f32 (.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 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 -7549747/8388608 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 1/2 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.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 -1/8 binary32) (.f32 (.f32 (.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (.f32 (.f32 (.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) (/.f32 #s(literal 1/2 binary32) (+.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 -7549747/8388608 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 1/2 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 x (.f32 x #s(approx (+ ( -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x)))) (fma.f32 (.f32 x x) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.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 -13421773/16777216 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 1/2 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 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 -13421773/16777216 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 1/2 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ ( x x) 1)))) (fma.f32 (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.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 -1/2 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 1/2 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 -7549747/8388608 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 1/2 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 -7549747/8388608 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 1/2 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 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 1/2 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 x (fabs.f32 x)))) x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(if (<=.f32 x #s(literal 2 binary32)) (copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x))
(copysign.f32 #s(approx (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) #s(approx (+ (/ (fabs x) x) (log x)) (/.f32 (fabs.f32 x) x))) x)

soundness1.7s (15.9%)

Memory

21.3MiB live, 898.8MiB allocated

Rules

24 610×	`lower-fma.f64`
24 610×	`lower-fma.f32`
12 026×	`lower-fma.f64`
12 026×	`lower-fma.f32`
11 666×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	758
1	490	730
2	1511	717
3	5413	667
0	8421	611
0	512	5615
1	1611	5238
2	5929	5105
0	8236	4686
0	680	8542
1	2163	8020
2	7971	8012
0	8200	7279
0	523	6789
1	1664	6338
2	6165	6184
0	8268	5742
0	9	42
0	16	42
1	51	42
2	324	42
3	3419	42
0	8352	37

Stop Event

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

Compiler

Compiled 682 to 195 computations (71.4% saved)

preprocess87.0ms (0.8%)

Memory: -0.1MiB live, 182.4MiB allocated
Compiler: Compiled 1 090 to 202 computations (81.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample828.0ms (7.9%)

explain208.0ms (2%)

preprocess19.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize50.0ms (0.5%)

series6.0ms (0.1%)

simplify393.0ms (3.7%)

rewrite290.0ms (2.8%)

eval46.0ms (0.4%)

prune216.0ms (2.1%)

simplify321.0ms (3%)

localize259.0ms (2.5%)

series97.0ms (0.9%)

simplify406.0ms (3.9%)

rewrite403.0ms (3.8%)

eval349.0ms (3.3%)

prune202.0ms (1.9%)

simplify262.0ms (2.5%)

localize411.0ms (3.9%)

series273.0ms (2.6%)

simplify623.0ms (5.9%)

rewrite525.0ms (5%)

eval181.0ms (1.7%)

prune156.0ms (1.5%)

simplify313.0ms (3%)

localize499.0ms (4.7%)

series49.0ms (0.5%)

simplify306.0ms (2.9%)

rewrite426.0ms (4.1%)

eval230.0ms (2.2%)

prune228.0ms (2.2%)

regimes24.0ms (0.2%)

regimes28.0ms (0.3%)

regimes19.0ms (0.2%)

regimes16.0ms (0.2%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

regimes18.0ms (0.2%)

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%)

simplify26.0ms (0.2%)

soundness1.7s (15.9%)

preprocess87.0ms (0.8%)

end0.0ms (0%)

Profiling