Metrics for Rust f32::asinh

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

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)

sample683.0ms (15.6%)

Memory

-12.0MiB live, 756.0MiB allocated; 264ms collecting garbage

Samples

326.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 178.0ms

ival-asinh: 168.0ms (94.2% of total)

ival-true: 5.0ms (2.8% of total)

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

adjust: 2.0ms (1.1% of total)

Bogosity

explain301.0ms (6.9%)

Memory

-0.5MiB live, 286.1MiB allocated; 54ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
128	-	2	(-0.012822384014725685)	`(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))`
67	-	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	123	2
`sqrt.f32`	`(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))`	oflow-rescue	67	0
↳	`(+.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	67
↳	`(*.f32 x x)`	overflow	67
`log.f32`	`(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))`	oflow-rescue	3	0
↳	`(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))`	overflow	3
↳	`(+.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	67
↳	`(*.f32 x x)`	overflow	67

Confusion

	Predicted +	Predicted -
+	190	2
-	0	64

Precision

1.0

Recall

0.9895833333333334

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	190	2	0
-	0	0	64

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	66
1	187
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

86.0ms	328×	0	valid
58.0ms	184×	1	valid

Compiler

Compiled 114 to 31 computations (72.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-add: 62.0ms (48.3% of total)

ival-log: 34.0ms (26.5% of total)

ival-hypot: 14.0ms (10.9% of total)

adjust: 6.0ms (4.7% of total)

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

ival-mult: 4.0ms (3.1% of total)

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

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

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

exact: 0.0ms (0% of total)

preprocess207.0ms (4.7%)

Memory

24.1MiB live, 161.1MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
0	9	12
0	16	12
1	24	12
2	45	12
3	85	12
4	144	12
5	351	12
6	2401	12
7	5914	12
0	8153	11

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	36.7%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Compiler

Compiled 12 to 9 computations (25% saved)

simplify226.0ms (5.2%)

Memory

-13.8MiB live, 226.3MiB allocated; 27ms collecting garbage

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	49
0	16	49
1	24	49
2	45	49
3	85	49
4	144	49
5	351	49
6	2401	49
7	5914	49
0	8153	44

Stop Event

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

Calls

Call 1

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

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

localize56.0ms (1.3%)

Memory

13.5MiB live, 59.7MiB allocated; 4ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(+.f32 (*.f32 x x) #s(literal 1 binary32))
accuracy	0.0078125	(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy	7.170770237068449	(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
accuracy	12.776389572920626	(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))

Samples

30.0ms	164×	0	valid
18.0ms	92×	1	valid

Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-fabs: 17.0ms (42.6% of total)

ival-hypot: 7.0ms (17.5% of total)

ival-log: 6.0ms (15% of total)

ival-copysign: 3.0ms (7.5% of total)

adjust: 3.0ms (7.5% of total)

ival-add: 3.0ms (7.5% of total)

ival-mult: 2.0ms (5% 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

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Counts

5 → 41

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
#s(approx (+ (* x x) 1) #s(hole binary32 1))
#s(approx (+ (* x x) 1) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (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)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (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)))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary32 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary32 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

simplify223.0ms (5.1%)

Memory

-18.9MiB live, 229.3MiB allocated; 74ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	216	957
1	627	923
2	2701	911
0	8816	830

Stop Event

1×	iter limit
1×	node limit

Counts

41 → 41

Calls

Call 1

Inputs
#s(approx (+ (* x x) 1) #s(hole binary32 1))
#s(approx (+ (* x x) 1) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (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)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (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)))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary32 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary32 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))

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

rewrite80.0ms (1.8%)

Memory

15.8MiB live, 152.9MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	42
0	16	30
1	56	22
0	406	21

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

5 → 65

Calls

Call 1

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

Outputs
(*.f32 (neg.f32 (cosh.f32 (asinh.f32 x))) (neg.f32 (cosh.f32 (asinh.f32 x))))
(*.f32 (fabs.f32 (cosh.f32 (asinh.f32 x))) (fabs.f32 (cosh.f32 (asinh.f32 x))))
(*.f32 (cosh.f32 (asinh.f32 x)) (cosh.f32 (asinh.f32 x)))
(sqrt.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32))) (neg.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32)))
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x))))
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x)))
(-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (neg.f32 x)) (neg.f32 x)))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fabs.f32 x)) (fabs.f32 x)))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 x) x))
(-.f32 #s(literal 1 binary32) (*.f32 x (neg.f32 x)))
(-.f32 (*.f32 x x) #s(literal -1 binary32))
(fma.f32 (.f32 (neg.f32 x) #s(literal 1 binary32)) (.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (.f32 x #s(literal 1 binary32)) (.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (fabs.f32 x)) #s(literal 1 binary32))
(fma.f32 (neg.f32 (neg.f32 x)) (neg.f32 (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 (neg.f32 x) (neg.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 (fabs.f32 x) (fabs.f32 x) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 x x) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 x (*.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 x x #s(literal 1 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 (cosh.f32 (asinh.f32 x)) #s(literal 2 binary32))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32))
(+.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 x x))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 x x))))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
(log.f32 (+.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (-.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) (log.f32 (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)) (*.f32 x x))))
(asinh.f32 (fabs.f32 x))
(/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (-.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)) (*.f32 x x))))
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (.f32 x x) (.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)) (*.f32 x x)))
(-.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x)))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (cosh.f32 (asinh.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)) (fabs.f32 x))
(fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) (cosh.f32 (asinh.f32 x)))
(fma.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)) (cosh.f32 (asinh.f32 x)))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (cosh.f32 (asinh.f32 x)))
(+.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)) (.f32 x x))) (/.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)) (.f32 x x))))
(+.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x))
(+.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x)))
(*.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)))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32))) (sqrt.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))))
(/.f32 (+.f32 (exp.f32 (asinh.f32 x)) (exp.f32 (neg.f32 (asinh.f32 x)))) #s(literal 2 binary32))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32))
(exp.f32 (.f32 (log1p.f32 (.f32 x x)) #s(literal 1/2 binary32)))
(cosh.f32 (neg.f32 (asinh.f32 x)))
(cosh.f32 (asinh.f32 (neg.f32 x)))
(cosh.f32 (asinh.f32 x))
(cosh.f32 (asinh.f32 (fabs.f32 x)))

eval62.0ms (1.4%)

Memory: 2.6MiB live, 55.2MiB allocated; 15ms collecting garbage
Compiler: Compiled 2 070 to 586 computations (71.7% saved)

prune8.0ms (0.2%)

Memory

-27.0MiB live, 20.1MiB allocated; 3ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	99	6	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	6	106

Accuracy

100.0%

Counts

106 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.8%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
▶	23.6%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
	33.6%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) x (neg.f32 x)))) x)
▶	10.9%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
▶	99.6%	(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
▶	54.8%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) x)

Compiler

Compiled 198 to 140 computations (29.3% saved)

simplify165.0ms (3.8%)

Memory

41.9MiB live, 222.1MiB allocated; 28ms collecting garbage

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	240
0	52	240
1	68	240
2	112	240
3	239	240
4	460	240
5	1026	240
6	7251	240
0	8084	223

Stop Event

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

Calls

Call 1

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

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

localize92.0ms (2.1%)

Memory

10.9MiB live, 99.3MiB allocated; 15ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.02734375	(/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
accuracy	0.03515625	(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))
accuracy	0.12728500976844204	(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x)
accuracy	14.446106364974279	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x))))
accuracy	0.0	(fabs.f32 x)
accuracy	0.0078125	(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))
accuracy	12.776389572920626	(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))))
accuracy	21.075125953370396	#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))
accuracy	0.0	(fabs.f32 x)
accuracy	0.0078125	(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))
accuracy	12.776389572920626	(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x)))
accuracy	24.70823263947286	#s(approx (sqrt (+ (* x x) 1)) x)
accuracy	0.0	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
accuracy	12.776389572920626	(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x))
accuracy	28.957883326407405	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)
accuracy	0.0	(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
accuracy	0.0	(fabs.f32 x)
accuracy	0.125	(asinh.f32 (fabs.f32 x))

Samples

31.0ms	164×	0	valid
27.0ms	92×	1	valid

Compiler

Compiled 193 to 20 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-add: 8.0ms (17.8% of total)

ival-hypot: 7.0ms (15.6% of total)

ival-log: 6.0ms (13.4% of total)

ival-copysign: 5.0ms (11.1% of total)

adjust: 4.0ms (8.9% of total)

ival-mult: 3.0ms (6.7% of total)

ival-log1p: 3.0ms (6.7% of total)

ival-div: 2.0ms (4.5% of total)

ival-asinh: 2.0ms (4.5% of total)

ival-fabs: 2.0ms (4.5% of total)

ival-sub: 1.0ms (2.2% of total)

ival-neg: 1.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series136.0ms (3.1%)

Memory

-29.3MiB live, 156.1MiB allocated; 72ms collecting garbage

Counts

19 → 46

Calls

Call 1

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

Outputs
#s(approx (copysign (asinh (fabs x)) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) x)))
#s(approx (asinh (fabs x)) #s(hole binary32 (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2)))))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (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)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (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)))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (* (/ 1/2 (- (fabs x) -1)) x) #s(hole binary32 (* 1/2 (/ x (+ 1 (fabs x))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (/ 1/2 (- (fabs x) -1)) #s(hole binary32 (/ 1/2 (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))

Calls

3 calls:

Time	Variable		Point	Expression
75.0ms	x	@	0	((copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (* (/ 1/2 (- (fabs x) -1)) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (/ 1/2 (- (fabs x) -1)))
32.0ms	x	@	inf	((copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (* (/ 1/2 (- (fabs x) -1)) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (/ 1/2 (- (fabs x) -1)))
27.0ms	x	@	-inf	((copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (* (/ 1/2 (- (fabs x) -1)) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (/ 1/2 (- (fabs x) -1)))

Time

Variable

Point

Expression

75.0ms

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

32.0ms

inf

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

27.0ms

-inf

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

simplify172.0ms (3.9%)

Memory

44.5MiB live, 228.7MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	237	1105
1	657	1081
2	2783	1065
0	8825	963

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 46

Calls

Call 1

Inputs
#s(approx (copysign (asinh (fabs x)) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) x)))
#s(approx (asinh (fabs x)) #s(hole binary32 (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2)))))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (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)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (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)))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (* (/ 1/2 (- (fabs x) -1)) x) #s(hole binary32 (* 1/2 (/ x (+ 1 (fabs x))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (/ 1/2 (- (fabs x) -1)) #s(hole binary32 (/ 1/2 (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))

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

rewrite69.0ms (1.6%)

Memory

-36.9MiB live, 66.7MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	218
0	52	171
1	157	171
0	1072	171

Stop Event

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

Counts

19 → 100

Calls

Call 1

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

Outputs
(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
(log.f32 (+.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (-.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) (log.f32 (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)) (*.f32 x x))))
(asinh.f32 (fabs.f32 x))
(*.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)))
(*.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)))
(*.f32 (sqrt.f32 x) (sqrt.f32 x))
(.f32 #s(literal -1 binary32) (.f32 #s(literal -1 binary32) (fabs.f32 x)))
(*.f32 #s(literal 1 binary32) (fabs.f32 x))
(*.f32 (fabs.f32 x) #s(literal 1 binary32))
(sqrt.f32 (*.f32 x x))
(pow.f32 (*.f32 x x) #s(literal 1/2 binary32))
(pow.f32 x #s(literal 1 binary32))
(fabs.f32 (neg.f32 (neg.f32 x)))
(fabs.f32 (neg.f32 x))
(fabs.f32 (fabs.f32 x))
(fabs.f32 x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) (fabs.f32 x))) x)
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) (fabs.f32 x)))
(-.f32 (log.f32 (.f32 (+.f32 x #s(approx (sqrt (+ ( x x) 1)) x)) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) x)))) (log.f32 (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))))
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) x) (-.f32 #s(approx (sqrt (+ (* x x) 1)) x) (fabs.f32 x)) (*.f32 x x))))
(/.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary32)) (.f32 x x)) (-.f32 #s(approx (sqrt (+ ( x x) 1)) x) (fabs.f32 x)))
(/.f32 (neg.f32 (.f32 (+.f32 x #s(approx (sqrt (+ ( x x) 1)) x)) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) x)))) (neg.f32 (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))))
(/.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) x) (-.f32 #s(approx (sqrt (+ (* x x) 1)) x) (fabs.f32 x)) (*.f32 x x))))
(/.f32 (.f32 (+.f32 x #s(approx (sqrt (+ ( x x) 1)) x)) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) x))) (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x)))
(/.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x) (-.f32 (.f32 x x) (.f32 #s(approx (sqrt (+ (* x x) 1)) x) (fabs.f32 x)))))
(/.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) x) (-.f32 #s(approx (sqrt (+ (* x x) 1)) x) (fabs.f32 x)) (*.f32 x x)))
(-.f32 (/.f32 (.f32 x x) (-.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) x))) (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary32)) (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))))
(fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) #s(approx (sqrt (+ (* x x) 1)) x))
(fma.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)) #s(approx (sqrt (+ (* x x) 1)) x))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))
(fma.f32 #s(literal -1 binary32) (.f32 #s(literal -1 binary32) (fabs.f32 x)) #s(approx (sqrt (+ ( x x) 1)) x))
(fma.f32 #s(literal 1 binary32) (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))
(fma.f32 (fabs.f32 x) #s(literal 1 binary32) #s(approx (sqrt (+ (* x x) 1)) x))
(+.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) x) (-.f32 #s(approx (sqrt (+ (* x x) 1)) x) (fabs.f32 x)) (.f32 x x))) (/.f32 (pow.f32 #s(approx (sqrt (+ ( x x) 1)) x) #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) x) (-.f32 #s(approx (sqrt (+ (* x x) 1)) x) (fabs.f32 x)) (*.f32 x x))))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) x) (fabs.f32 x))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (fabs.f32 x))) x)
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (fabs.f32 x)))
(-.f32 (log.f32 (-.f32 (.f32 x x) (pow.f32 #s(approx (sqrt (+ ( x x) 1)) (neg.f32 x)) #s(literal 2 binary32)))) (log.f32 (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (fabs.f32 x)) (*.f32 x x))))
(/.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 2 binary32)) (.f32 x x)) (-.f32 #s(approx (sqrt (+ ( x x) 1)) (neg.f32 x)) (fabs.f32 x)))
(/.f32 (neg.f32 (-.f32 (.f32 x x) (pow.f32 #s(approx (sqrt (+ ( x x) 1)) (neg.f32 x)) #s(literal 2 binary32)))) (neg.f32 (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (fabs.f32 x)) (*.f32 x x))))
(/.f32 (-.f32 (.f32 x x) (pow.f32 #s(approx (sqrt (+ ( x x) 1)) (neg.f32 x)) #s(literal 2 binary32))) (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))))
(/.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (-.f32 (.f32 x x) (.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (fabs.f32 x)))))
(/.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (fabs.f32 x)) (*.f32 x x)))
(-.f32 (/.f32 (.f32 x x) (-.f32 (fabs.f32 x) #s(approx (sqrt (+ ( x x) 1)) (neg.f32 x)))) (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 2 binary32)) (-.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))))
(fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))
(fma.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))
(fma.f32 #s(literal -1 binary32) (.f32 #s(literal -1 binary32) (fabs.f32 x)) #s(approx (sqrt (+ ( x x) 1)) (neg.f32 x)))
(fma.f32 #s(literal 1 binary32) (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))
(fma.f32 (fabs.f32 x) #s(literal 1 binary32) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))
(+.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (fabs.f32 x)) (.f32 x x))) (/.f32 (pow.f32 #s(approx (sqrt (+ ( x x) 1)) (neg.f32 x)) #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (fabs.f32 x)) (*.f32 x x))))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) (fabs.f32 x))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))
(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) (fabs.f32 x)))
(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) x) (-.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) (fabs.f32 x) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x)
(*.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(*.f32 x (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(/.f32 (*.f32 #s(literal -1/2 binary32) x) (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(/.f32 (*.f32 x #s(literal -1/2 binary32)) (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) x)) (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x) (log1p.f32 (fabs.f32 x))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)) (pow.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x)) #s(literal 2 binary32))) (-.f32 (log1p.f32 (fabs.f32 x)) (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)))) (neg.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x)) (log1p.f32 (fabs.f32 x)))))
(/.f32 (neg.f32 (fma.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (log1p.f32 (fabs.f32 x)) (-.f32 (log1p.f32 (fabs.f32 x)) (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x))) (pow.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x)) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32))) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x)) (log1p.f32 (fabs.f32 x))))
(/.f32 (fma.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x)) #s(literal 2 binary32)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) (log1p.f32 (fabs.f32 x))))))
(/.f32 (fma.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (fabs.f32 x)) (-.f32 (log1p.f32 (fabs.f32 x)) (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x))) (pow.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x)) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x)) #s(literal 2 binary32)) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x)) (log1p.f32 (fabs.f32 x)))) (/.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x)) (log1p.f32 (fabs.f32 x)))))
(-.f32 (log1p.f32 (fabs.f32 x)) (.f32 (neg.f32 (.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))))) x))
(-.f32 (log1p.f32 (fabs.f32 x)) (.f32 (neg.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (.f32 x x)))
(-.f32 (log1p.f32 (fabs.f32 x)) (.f32 (neg.f32 x) (.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (neg.f32 x)) (neg.f32 x) (log1p.f32 (fabs.f32 x)))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (fabs.f32 x)) (fabs.f32 x) (log1p.f32 (fabs.f32 x)))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) x (log1p.f32 (fabs.f32 x)))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (log1p.f32 (fabs.f32 x)))
(fma.f32 x (*.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (log1p.f32 (fabs.f32 x)))
(+.f32 (/.f32 (pow.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x)) #s(literal 3 binary32)) (fma.f32 (log1p.f32 (fabs.f32 x)) (-.f32 (log1p.f32 (fabs.f32 x)) (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x))) (pow.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32)) (fma.f32 (log1p.f32 (fabs.f32 x)) (-.f32 (log1p.f32 (fabs.f32 x)) (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x))) (pow.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x)) #s(literal 2 binary32)))))
(+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x)) (log1p.f32 (fabs.f32 x)))
(+.f32 (log1p.f32 (fabs.f32 x)) (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x)))
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))
(*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) (fabs.f32 x)))
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) (fabs.f32 x) #s(literal 1 binary32))))
(/.f32 #s(literal -1/2 binary32) (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(/.f32 #s(literal 1/2 binary32) (neg.f32 (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)))))
(/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
(neg.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)))))

eval83.0ms (1.9%)

Memory: 6.5MiB live, 52.6MiB allocated; 4ms collecting garbage
Compiler: Compiled 5 171 to 872 computations (83.1% saved)

prune6.0ms (0.1%)

Memory

19.3MiB live, 19.3MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	197	2	199
Fresh	1	0	1
Picked	0	5	5
Done	0	0	0
Total	198	7	205

Accuracy

100.0%

Counts

205 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	34.8%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
✓	23.6%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
✓	10.9%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
▶	56.0%	(copysign.f32 (asinh.f32 (*.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)))) x)
✓	99.6%	(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
✓	54.8%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) x)
▶	12.8%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x))) x)

Compiler

Compiled 124 to 86 computations (30.6% saved)

simplify169.0ms (3.9%)

Memory

9.3MiB live, 195.8MiB allocated; 17ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f32 (neg.f32 x))
cost-diff	0	(asinh.f32 (*.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x))))
cost-diff	0	(copysign.f32 (asinh.f32 (*.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)))) x)
cost-diff	5	(*.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)))
cost-diff	0	#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x))
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x)))
cost-diff	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x))) x)
cost-diff	1	(-.f32 (fabs.f32 x) #s(literal -1 binary32))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	169
0	42	154
1	67	154
2	141	154
3	473	149
4	877	139
5	1757	139
0	8442	131

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

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

localize109.0ms (2.5%)

Memory

-11.7MiB live, 145.0MiB allocated; 39ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f32 (neg.f32 x))
accuracy	0.0	(neg.f32 x)
accuracy	0.0859375	(asinh.f32 (*.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x))))
accuracy	0.28515625	(*.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)))
accuracy	0.01171875	(/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
accuracy	0.01953125	(.f32 (.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x)
accuracy	7.995676979157358	#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x))
accuracy	8.898489074537338	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x)))

Samples

38.0ms	48×	1	valid
32.0ms	111×	0	invalid
26.0ms	97×	0	valid

Compiler

Compiled 104 to 25 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-add: 16.0ms (24% of total)

ival-asinh: 11.0ms (16.5% of total)

ival-hypot: 8.0ms (12% of total)

ival-mult: 8.0ms (12% of total)

ival-copysign: 5.0ms (7.5% of total)

ival-log: 5.0ms (7.5% of total)

ival-div: 3.0ms (4.5% of total)

adjust: 2.0ms (3% of total)

ival-sqrt: 2.0ms (3% of total)

ival-fabs: 2.0ms (3% of total)

ival-log1p: 2.0ms (3% of total)

ival-sub: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series48.0ms (1.1%)

Memory

1.1MiB live, 45.7MiB allocated; 9ms collecting garbage

Counts

11 → 39

Calls

Call 1

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

Outputs
#s(approx (- (fabs x) -1) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (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)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (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)))))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (* (sqrt (neg x)) (sqrt (neg x))) #s(hole binary32 (* x (pow (sqrt -1) 2))))
#s(approx (copysign (asinh (* (sqrt (neg x)) (sqrt (neg x)))) x) #s(hole binary32 (copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* x (pow (sqrt -1) 2)))) x)))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (* x (pow (sqrt -1) 2))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (* x (+ (* 1/2 (* x (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4)))) (pow (sqrt -1) 2)))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (pow (sqrt -1) 6)) (* 2 (pow (sqrt -1) 6))))) (* 1/2 (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4))))) (pow (sqrt -1) 2)))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (* x (+ (* x (+ (* 1/2 (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4))) (* x (+ (* 1/24 (* x (+ (* -12 (pow (sqrt -1) 8)) (* 12 (pow (sqrt -1) 8))))) (* 1/6 (+ (* -3 (pow (sqrt -1) 6)) (* 2 (pow (sqrt -1) 6)))))))) (pow (sqrt -1) 2)))))
#s(approx (sqrt (neg x)) #s(hole binary32 (* (sqrt x) (sqrt -1))))
#s(approx (* (* (/ x (- (fabs x) -1)) 1/2) x) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))
#s(approx (/ x (- (fabs x) -1)) #s(hole binary32 (/ x (+ 1 (fabs x)))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ 1 x))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))))) (/ 3/32 (* (pow x 4) (pow (sqrt -1) 8))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))) (* 5/96 (/ 1 (* (pow x 6) (pow (sqrt -1) 12))))))) (* 3/32 (/ 1 (* (pow x 4) (pow (sqrt -1) 8)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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)))))
#s(approx (* (sqrt (neg x)) (sqrt (neg x))) #s(hole binary32 (* -1 x)))
#s(approx (copysign (asinh (* (sqrt (neg x)) (sqrt (neg x)))) x) #s(hole binary32 (copysign (log (+ (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ -1 x))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (sqrt (neg x)) #s(hole binary32 (* -1 (* (sqrt x) (sqrt -1)))))

Calls

3 calls:

Time

Variable

Point

Expression

38.0ms

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

5.0ms

inf

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

4.0ms

-inf

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

simplify117.0ms (2.7%)

Memory

-27.3MiB live, 107.7MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	252	1010
1	710	895
0	3207	832

Stop Event

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

Counts

39 → 39

Calls

Call 1

Inputs
#s(approx (- (fabs x) -1) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (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)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (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)))))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (* (sqrt (neg x)) (sqrt (neg x))) #s(hole binary32 (* x (pow (sqrt -1) 2))))
#s(approx (copysign (asinh (* (sqrt (neg x)) (sqrt (neg x)))) x) #s(hole binary32 (copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* x (pow (sqrt -1) 2)))) x)))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (* x (pow (sqrt -1) 2))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (* x (+ (* 1/2 (* x (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4)))) (pow (sqrt -1) 2)))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (pow (sqrt -1) 6)) (* 2 (pow (sqrt -1) 6))))) (* 1/2 (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4))))) (pow (sqrt -1) 2)))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (* x (+ (* x (+ (* 1/2 (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4))) (* x (+ (* 1/24 (* x (+ (* -12 (pow (sqrt -1) 8)) (* 12 (pow (sqrt -1) 8))))) (* 1/6 (+ (* -3 (pow (sqrt -1) 6)) (* 2 (pow (sqrt -1) 6)))))))) (pow (sqrt -1) 2)))))
#s(approx (sqrt (neg x)) #s(hole binary32 (* (sqrt x) (sqrt -1))))
#s(approx (* (* (/ x (- (fabs x) -1)) 1/2) x) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))
#s(approx (/ x (- (fabs x) -1)) #s(hole binary32 (/ x (+ 1 (fabs x)))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ 1 x))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))))) (/ 3/32 (* (pow x 4) (pow (sqrt -1) 8))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))) (* 5/96 (/ 1 (* (pow x 6) (pow (sqrt -1) 12))))))) (* 3/32 (/ 1 (* (pow x 4) (pow (sqrt -1) 8)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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)))))
#s(approx (* (sqrt (neg x)) (sqrt (neg x))) #s(hole binary32 (* -1 x)))
#s(approx (copysign (asinh (* (sqrt (neg x)) (sqrt (neg x)))) x) #s(hole binary32 (copysign (log (+ (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ -1 x))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (sqrt (neg x)) #s(hole binary32 (* -1 (* (sqrt x) (sqrt -1)))))

Outputs
#s(approx (- (fabs x) -1) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (- (fabs x) -1) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (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)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) x) x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (.f32 x x) (log1p.f32 (fabs.f32 x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (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)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/720 binary32) (.f32 x x)) (+.f32 (-.f32 (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32)))) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (.f32 x x) (log1p.f32 (fabs.f32 x))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (log1p.f32 (fabs.f32 x)))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x))))
#s(approx (* (sqrt (neg x)) (sqrt (neg x))) #s(hole binary32 (* x (pow (sqrt -1) 2))))
#s(approx (* (sqrt (neg x)) (sqrt (neg x))) (neg.f32 x))
#s(approx (copysign (asinh (* (sqrt (neg x)) (sqrt (neg x)))) x) #s(hole binary32 (copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* x (pow (sqrt -1) 2)))) x)))
#s(approx (copysign (asinh (* (sqrt (neg x)) (sqrt (neg x)))) x) (copysign.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32)) (*.f32 x x) #s(literal 1 binary32))) x)) x))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (* x (pow (sqrt -1) 2))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (neg.f32 x))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (* x (+ (* 1/2 (* x (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4)))) (pow (sqrt -1) 2)))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (*.f32 (fma.f32 #s(literal 0 binary32) x #s(literal -1 binary32)) x))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (pow (sqrt -1) 6)) (* 2 (pow (sqrt -1) 6))))) (* 1/2 (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4))))) (pow (sqrt -1) 2)))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (.f32 (fma.f32 (fma.f32 (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 6 binary32)) #s(literal -1/6 binary32)) x #s(literal 0 binary32)) x #s(literal -1 binary32)) x))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (* x (+ (* x (+ (* 1/2 (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4))) (* x (+ (* 1/24 (* x (+ (* -12 (pow (sqrt -1) 8)) (* 12 (pow (sqrt -1) 8))))) (* 1/6 (+ (* -3 (pow (sqrt -1) 6)) (* 2 (pow (sqrt -1) 6)))))))) (pow (sqrt -1) 2)))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (.f32 (fma.f32 (fma.f32 (fma.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 6 binary32)) #s(literal -1/6 binary32) (.f32 #s(literal 0 binary32) x)) x #s(literal 0 binary32)) x #s(literal -1 binary32)) x))
#s(approx (sqrt (neg x)) #s(hole binary32 (* (sqrt x) (sqrt -1))))
#s(approx (sqrt (neg x)) (*.f32 (sqrt.f32 x) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (* (* (/ x (- (fabs x) -1)) 1/2) x) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))
#s(approx (* (* (/ x (- (fabs x) -1)) 1/2) x) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x))
#s(approx (/ x (- (fabs x) -1)) #s(hole binary32 (/ x (+ 1 (fabs x)))))
#s(approx (/ x (- (fabs x) -1)) (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (* (sqrt (neg x)) (sqrt (neg x))) (neg.f32 x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 2 binary32) (.f32 #s(literal -3 binary32) (fabs.f32 x))) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) x) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x)))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (-.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (.f32 x x)) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x)))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ 1 x))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (+.f32 (log.f32 #s(literal -2 binary32)) (log.f32 x)))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (*.f32 x x)) (log.f32 x)) (log.f32 #s(literal -2 binary32))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))))) (/ 3/32 (* (pow x 4) (pow (sqrt -1) 8))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (-.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (*.f32 x x)) (log.f32 x)) (log.f32 #s(literal -2 binary32))) (/.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 8 binary32))) (pow.f32 x #s(literal 4 binary32)))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))) (* 5/96 (/ 1 (* (pow x 6) (pow (sqrt -1) 12))))))) (* 3/32 (/ 1 (* (pow x 4) (pow (sqrt -1) 8)))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (-.f32 (-.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (*.f32 x x)) (log.f32 x)) (log.f32 #s(literal -2 binary32))) (/.f32 (/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 12 binary32)))) (/.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 8 binary32))) (pow.f32 x #s(literal 4 binary32)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x) #s(literal -1/2 binary32) (fabs.f32 x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 2 binary32) (.f32 #s(literal -3 binary32) (fabs.f32 x))) x) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/2 binary32) (.f32 x x) #s(literal 1/2 binary32))) x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(approx (* (sqrt (neg x)) (sqrt (neg x))) #s(hole binary32 (* -1 x)))
#s(approx (* (sqrt (neg x)) (sqrt (neg x))) (neg.f32 x))
#s(approx (copysign (asinh (* (sqrt (neg x)) (sqrt (neg x)))) x) #s(hole binary32 (copysign (log (+ (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (copysign (asinh (* (sqrt (neg x)) (sqrt (neg x)))) x) (copysign.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ -1 x))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (-.f32 (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (-.f32 (-.f32 (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))))
#s(approx (sqrt (neg x)) #s(hole binary32 (* -1 (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (neg x)) (*.f32 (neg.f32 (sqrt.f32 x)) (sqrt.f32 #s(literal -1 binary32))))

rewrite74.0ms (1.7%)

Memory

34.1MiB live, 78.6MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	155
0	42	126
1	150	126
0	954	117

Stop Event

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

Counts

11 → 130

Calls

Call 1

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

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

eval19.0ms (0.4%)

Memory: -13.7MiB live, 31.8MiB allocated; 6ms collecting garbage
Compiler: Compiled 4 487 to 843 computations (81.2% saved)

prune18.0ms (0.4%)

Memory

29.4MiB live, 29.4MiB allocated; 0ms collecting garbage

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	142	12	154
Fresh	0	0	0
Picked	0	2	2
Done	1	4	5
Total	143	18	161

Accuracy

100.0%

Counts

161 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	34.8%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
✓	23.6%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
✓	10.9%	(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
✓	56.0%	(copysign.f32 (asinh.f32 (*.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)))) x)
✓	99.6%	(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
▶	12.5%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) x) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))) x)
	12.5%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x)))) x)
▶	12.8%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x (fma.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)) #s(literal 1 binary32))) #s(literal 1/2 binary32)) x))) x)
	5.6%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x (fma.f32 (sqrt.f32 x) (sqrt.f32 x) #s(literal 1 binary32))) #s(literal 1/2 binary32)) x))) x)
▶	12.4%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))) #s(literal 1/2 binary32)) x))) x)
	12.4%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x (-.f32 (/.f32 (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal -1 binary32))))) #s(literal 1/2 binary32)) x))) x)
✓	12.8%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x))) x)
	12.8%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (fabs.f32 x)) (neg.f32 (sqrt.f32 (fabs.f32 x)))))) #s(literal 1/2 binary32)) x))) x)
▶	12.8%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x))) x)
	12.4%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (+.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x))) x)
	12.8%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (*.f32 (sqrt.f32 (fabs.f32 x)) (/.f32 (sqrt.f32 (fabs.f32 x)) (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32))))) #s(literal 1/2 binary32)) x))) x)
	32.1%	(copysign.f32 #s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) x)
▶	54.4%	(copysign.f32 #s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (neg.f32 x)) x)

Compiler

Compiled 1 052 to 692 computations (34.2% saved)

simplify168.0ms (3.8%)

Memory

-6.0MiB live, 137.2MiB allocated; 29ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x (fma.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)) #s(literal 1 binary32))) #s(literal 1/2 binary32)) x))
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x (fma.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)) #s(literal 1 binary32))) #s(literal 1/2 binary32)) x)))
cost-diff	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x (fma.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)) #s(literal 1 binary32))) #s(literal 1/2 binary32)) x))) x)
cost-diff	5	(fma.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)) #s(literal 1 binary32))
cost-diff	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))) #s(literal 1/2 binary32)) x))) x)
cost-diff	1	(-.f32 (fabs.f32 x) #s(literal 1 binary32))
cost-diff	2	(*.f32 (/.f32 x (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))) #s(literal 1/2 binary32))
cost-diff	3	(/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))
cost-diff	0	#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) x) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) x) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))))
cost-diff	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) x) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))) x)
cost-diff	1	(-.f32 (fabs.f32 x) #s(literal -1 binary32))
cost-diff	0	#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x))
cost-diff	0	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x)))
cost-diff	0	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x))) x)
cost-diff	1	(+.f32 #s(literal 1 binary32) (fabs.f32 x))
cost-diff	0	(neg.f32 x)
cost-diff	0	#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (neg.f32 x))
cost-diff	0	(copysign.f32 #s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (neg.f32 x)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	648
0	85	585
1	137	585
2	296	529
3	1677	521
4	5498	520
0	8023	488

Stop Event

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

Calls

Call 1

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

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

localize268.0ms (6.1%)

Memory

-7.5MiB live, 383.6MiB allocated; 167ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(.f32 (.f32 (/.f32 x (fma.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)) #s(literal 1 binary32))) #s(literal 1/2 binary32)) x)
accuracy	0.1484375	(fma.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)) #s(literal 1 binary32))
accuracy	7.892182118073689	#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x (fma.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)) #s(literal 1 binary32))) #s(literal 1/2 binary32)) x))
accuracy	8.701963953416437	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x (fma.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)) #s(literal 1 binary32))) #s(literal 1/2 binary32)) x)))
accuracy	0.01171875	(.f32 (.f32 (/.f32 x (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))) #s(literal 1/2 binary32)) x)
accuracy	4.426302039272161	(/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))
accuracy	7.892182118073689	#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))) #s(literal 1/2 binary32)) x))
accuracy	8.701963953416437	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))) #s(literal 1/2 binary32)) x)))
accuracy	0.0	(fabs.f32 x)
accuracy	4.451440955279657	(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) x) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
accuracy	7.892182118073689	#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) x) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
accuracy	8.701963953416437	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) x) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))))
accuracy	0.01171875	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x)
accuracy	0.0859375	(*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x)
accuracy	7.892182118073689	#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x))
accuracy	8.701963953416437	#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x)))
accuracy	0.0	(copysign.f32 #s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (neg.f32 x)) x)
accuracy	0.0	(neg.f32 x)
accuracy	8.795636439901147	#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (neg.f32 x))

Samples

49.0ms	95×	0	valid
45.0ms	111×	0	invalid
35.0ms	48×	1	valid
2.0ms	2×	5	exit

Compiler

Compiled 358 to 42 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-mult: 40.0ms (38.4% of total)

ival-div: 13.0ms (12.5% of total)

ival-log1p: 8.0ms (7.7% of total)

ival-add: 6.0ms (5.8% of total)

ival-hypot: 6.0ms (5.8% of total)

ival-asinh: 6.0ms (5.8% of total)

adjust: 5.0ms (4.8% of total)

ival-copysign: 5.0ms (4.8% of total)

ival-log: 5.0ms (4.8% of total)

ival-sqrt: 4.0ms (3.8% of total)

ival-sub: 2.0ms (1.9% of total)

ival-fabs: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series48.0ms (1.1%)

Memory

-0.5MiB live, 45.0MiB allocated; 13ms collecting garbage

Counts

27 → 64

Calls

Call 1

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

Outputs
#s(approx (copysign (asinh (* (sqrt (neg x)) (sqrt (neg x)))) x) #s(hole binary32 (copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* x (pow (sqrt -1) 2)))) x)))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (* x (pow (sqrt -1) 2))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (* x (+ (* 1/2 (* x (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4)))) (pow (sqrt -1) 2)))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (pow (sqrt -1) 6)) (* 2 (pow (sqrt -1) 6))))) (* 1/2 (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4))))) (pow (sqrt -1) 2)))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (* x (+ (* x (+ (* 1/2 (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4))) (* x (+ (* 1/24 (* x (+ (* -12 (pow (sqrt -1) 8)) (* 12 (pow (sqrt -1) 8))))) (* 1/6 (+ (* -3 (pow (sqrt -1) 6)) (* 2 (pow (sqrt -1) 6)))))))) (pow (sqrt -1) 2)))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (+ 1 (fabs x)) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (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)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (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)))))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (- (fabs x) -1) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (/ (+ (* x x) -1) (- (fabs x) 1)) #s(hole binary32 (/ -1 (- (fabs x) 1))))
#s(approx (/ (+ (* x x) -1) (- (fabs x) 1)) #s(hole binary32 (- (/ (pow x 2) (- (fabs x) 1)) (/ 1 (- (fabs x) 1)))))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) #s(hole binary32 (* -1/2 (* x (- (fabs x) 1)))))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) #s(hole binary32 (* x (+ (* -1/2 (- (fabs x) 1)) (* 1/2 (* (pow x 2) (- 1 (fabs x))))))))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) #s(hole binary32 (* x (+ (* -1/2 (- (fabs x) 1)) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- 1 (fabs x)))) (* 1/2 (- 1 (fabs x)))))))))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) #s(hole binary32 (* x (+ (* -1/2 (- (fabs x) 1)) (* (pow x 2) (+ (* 1/2 (- 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- 1 (fabs x)))) (* 1/2 (- 1 (fabs x)))))))))))
#s(approx (- (fabs x) 1) #s(hole binary32 (- (fabs x) 1)))
#s(approx (+ (* (sqrt (fabs x)) (sqrt (fabs x))) 1) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (* (/ 1/2 (+ 1 (fabs x))) x) #s(hole binary32 (* 1/2 (/ x (+ 1 (fabs x))))))
#s(approx (* (* (/ 1/2 (+ 1 (fabs x))) x) x) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))
#s(approx (/ (* (* 1/2 x) x) (- (fabs x) -1)) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) #s(hole binary32 (* -1/2 (* (pow x 2) (- (fabs x) 1)))))
#s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) #s(hole binary32 (* (pow x 2) (+ (* -1/2 (- (fabs x) 1)) (* 1/2 (* (pow x 2) (- 1 (fabs x))))))))
#s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) #s(hole binary32 (* (pow x 2) (+ (* -1/2 (- (fabs x) 1)) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- 1 (fabs x)))) (* 1/2 (- 1 (fabs x)))))))))
#s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) #s(hole binary32 (* (pow x 2) (+ (* -1/2 (- (fabs x) 1)) (* (pow x 2) (+ (* 1/2 (- 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- 1 (fabs x)))) (* 1/2 (- 1 (fabs x)))))))))))
#s(approx (* (* (/ x (+ (* (sqrt (fabs x)) (sqrt (fabs x))) 1)) 1/2) x) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ 1 x))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))))) (/ 3/32 (* (pow x 4) (pow (sqrt -1) 8))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))) (* 5/96 (/ 1 (* (pow x 6) (pow (sqrt -1) 12))))))) (* 3/32 (/ 1 (* (pow x 4) (pow (sqrt -1) 8)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))))
#s(approx (/ (+ (* x x) -1) (- (fabs x) 1)) #s(hole binary32 (/ (pow x 2) (- (fabs x) 1))))
#s(approx (/ (+ (* x x) -1) (- (fabs x) 1)) #s(hole binary32 (* (pow x 2) (- (/ 1 (- (fabs x) 1)) (/ 1 (* (pow x 2) (- (fabs x) 1)))))))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) #s(hole binary32 (* 1/2 (/ (- (fabs x) 1) x))))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) #s(hole binary32 (/ (+ (* 1/2 (- (fabs x) 1)) (* 1/2 (/ (- (fabs x) 1) (pow x 2)))) x)))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) #s(hole binary32 (/ (+ (* 1/2 (- (fabs x) 1)) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (* 1/2 (/ (- (fabs x) 1) (pow x 4))))) x)))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) #s(hole binary32 (/ (+ (* 1/2 (- (fabs x) 1)) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 4))) (* 1/2 (/ (- (fabs x) 1) (pow x 6)))))) x)))
#s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) #s(hole binary32 (* 1/2 (- (fabs x) 1))))
#s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) #s(hole binary32 (+ (* 1/2 (- (fabs x) 1)) (* 1/2 (/ (- (fabs x) 1) (pow x 2))))))
#s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) #s(hole binary32 (+ (* 1/2 (- (fabs x) 1)) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (* 1/2 (/ (- (fabs x) 1) (pow x 4)))))))
#s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) #s(hole binary32 (+ (* 1/2 (- (fabs x) 1)) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 4))) (* 1/2 (/ (- (fabs x) 1) (pow x 6))))))))
#s(approx (copysign (asinh (* (sqrt (neg x)) (sqrt (neg x)))) x) #s(hole binary32 (copysign (log (+ (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ -1 x))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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)))))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) #s(hole binary32 (* -1 (/ (+ (* -1/2 (- (fabs x) 1)) (* -1/2 (/ (- (fabs x) 1) (pow x 2)))) x))))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) #s(hole binary32 (* -1 (/ (+ (* -1/2 (- (fabs x) 1)) (+ (* -1/2 (/ (- (fabs x) 1) (pow x 2))) (* -1/2 (/ (- (fabs x) 1) (pow x 4))))) x))))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) #s(hole binary32 (* -1 (/ (+ (* -1/2 (- (fabs x) 1)) (+ (* -1/2 (/ (- (fabs x) 1) (pow x 2))) (+ (* -1/2 (/ (- (fabs x) 1) (pow x 4))) (* -1/2 (/ (- (fabs x) 1) (pow x 6)))))) x))))

Calls

3 calls:

Time

Variable

Point

Expression

36.0ms

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

5.0ms

inf

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

5.0ms

-inf

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

simplify167.0ms (3.8%)

Memory

-14.1MiB live, 175.3MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	352	1901
1	989	1766
2	4502	1515
0	9024	1434

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 64

Calls

Call 1

Inputs
#s(approx (copysign (asinh (* (sqrt (neg x)) (sqrt (neg x)))) x) #s(hole binary32 (copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* x (pow (sqrt -1) 2)))) x)))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (* x (pow (sqrt -1) 2))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (* x (+ (* 1/2 (* x (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4)))) (pow (sqrt -1) 2)))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (pow (sqrt -1) 6)) (* 2 (pow (sqrt -1) 6))))) (* 1/2 (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4))))) (pow (sqrt -1) 2)))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (* x (+ (* x (+ (* 1/2 (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4))) (* x (+ (* 1/24 (* x (+ (* -12 (pow (sqrt -1) 8)) (* 12 (pow (sqrt -1) 8))))) (* 1/6 (+ (* -3 (pow (sqrt -1) 6)) (* 2 (pow (sqrt -1) 6)))))))) (pow (sqrt -1) 2)))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (+ 1 (fabs x)) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (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)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (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)))))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (- (fabs x) -1) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (/ (+ (* x x) -1) (- (fabs x) 1)) #s(hole binary32 (/ -1 (- (fabs x) 1))))
#s(approx (/ (+ (* x x) -1) (- (fabs x) 1)) #s(hole binary32 (- (/ (pow x 2) (- (fabs x) 1)) (/ 1 (- (fabs x) 1)))))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) #s(hole binary32 (* -1/2 (* x (- (fabs x) 1)))))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) #s(hole binary32 (* x (+ (* -1/2 (- (fabs x) 1)) (* 1/2 (* (pow x 2) (- 1 (fabs x))))))))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) #s(hole binary32 (* x (+ (* -1/2 (- (fabs x) 1)) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- 1 (fabs x)))) (* 1/2 (- 1 (fabs x)))))))))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) #s(hole binary32 (* x (+ (* -1/2 (- (fabs x) 1)) (* (pow x 2) (+ (* 1/2 (- 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- 1 (fabs x)))) (* 1/2 (- 1 (fabs x)))))))))))
#s(approx (- (fabs x) 1) #s(hole binary32 (- (fabs x) 1)))
#s(approx (+ (* (sqrt (fabs x)) (sqrt (fabs x))) 1) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (* (/ 1/2 (+ 1 (fabs x))) x) #s(hole binary32 (* 1/2 (/ x (+ 1 (fabs x))))))
#s(approx (* (* (/ 1/2 (+ 1 (fabs x))) x) x) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))
#s(approx (/ (* (* 1/2 x) x) (- (fabs x) -1)) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) #s(hole binary32 (* -1/2 (* (pow x 2) (- (fabs x) 1)))))
#s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) #s(hole binary32 (* (pow x 2) (+ (* -1/2 (- (fabs x) 1)) (* 1/2 (* (pow x 2) (- 1 (fabs x))))))))
#s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) #s(hole binary32 (* (pow x 2) (+ (* -1/2 (- (fabs x) 1)) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- 1 (fabs x)))) (* 1/2 (- 1 (fabs x)))))))))
#s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) #s(hole binary32 (* (pow x 2) (+ (* -1/2 (- (fabs x) 1)) (* (pow x 2) (+ (* 1/2 (- 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- 1 (fabs x)))) (* 1/2 (- 1 (fabs x)))))))))))
#s(approx (* (* (/ x (+ (* (sqrt (fabs x)) (sqrt (fabs x))) 1)) 1/2) x) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ 1 x))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))))) (/ 3/32 (* (pow x 4) (pow (sqrt -1) 8))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))) (* 5/96 (/ 1 (* (pow x 6) (pow (sqrt -1) 12))))))) (* 3/32 (/ 1 (* (pow x 4) (pow (sqrt -1) 8)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))))
#s(approx (/ (+ (* x x) -1) (- (fabs x) 1)) #s(hole binary32 (/ (pow x 2) (- (fabs x) 1))))
#s(approx (/ (+ (* x x) -1) (- (fabs x) 1)) #s(hole binary32 (* (pow x 2) (- (/ 1 (- (fabs x) 1)) (/ 1 (* (pow x 2) (- (fabs x) 1)))))))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) #s(hole binary32 (* 1/2 (/ (- (fabs x) 1) x))))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) #s(hole binary32 (/ (+ (* 1/2 (- (fabs x) 1)) (* 1/2 (/ (- (fabs x) 1) (pow x 2)))) x)))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) #s(hole binary32 (/ (+ (* 1/2 (- (fabs x) 1)) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (* 1/2 (/ (- (fabs x) 1) (pow x 4))))) x)))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) #s(hole binary32 (/ (+ (* 1/2 (- (fabs x) 1)) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 4))) (* 1/2 (/ (- (fabs x) 1) (pow x 6)))))) x)))
#s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) #s(hole binary32 (* 1/2 (- (fabs x) 1))))
#s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) #s(hole binary32 (+ (* 1/2 (- (fabs x) 1)) (* 1/2 (/ (- (fabs x) 1) (pow x 2))))))
#s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) #s(hole binary32 (+ (* 1/2 (- (fabs x) 1)) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (* 1/2 (/ (- (fabs x) 1) (pow x 4)))))))
#s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) #s(hole binary32 (+ (* 1/2 (- (fabs x) 1)) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 4))) (* 1/2 (/ (- (fabs x) 1) (pow x 6))))))))
#s(approx (copysign (asinh (* (sqrt (neg x)) (sqrt (neg x)))) x) #s(hole binary32 (copysign (log (+ (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ -1 x))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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)))))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) #s(hole binary32 (* -1 (/ (+ (* -1/2 (- (fabs x) 1)) (* -1/2 (/ (- (fabs x) 1) (pow x 2)))) x))))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) #s(hole binary32 (* -1 (/ (+ (* -1/2 (- (fabs x) 1)) (+ (* -1/2 (/ (- (fabs x) 1) (pow x 2))) (* -1/2 (/ (- (fabs x) 1) (pow x 4))))) x))))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) #s(hole binary32 (* -1 (/ (+ (* -1/2 (- (fabs x) 1)) (+ (* -1/2 (/ (- (fabs x) 1) (pow x 2))) (+ (* -1/2 (/ (- (fabs x) 1) (pow x 4))) (* -1/2 (/ (- (fabs x) 1) (pow x 6)))))) x))))

Outputs
#s(approx (copysign (asinh (* (sqrt (neg x)) (sqrt (neg x)))) x) #s(hole binary32 (copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* x (pow (sqrt -1) 2)))) x)))
#s(approx (copysign (asinh (* (sqrt (neg x)) (sqrt (neg x)))) x) (copysign.f32 (log.f32 (-.f32 (fabs.f32 (-.f32 x #s(literal 1 binary32))) x)) x))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (* x (pow (sqrt -1) 2))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) x)
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (* x (+ (* 1/2 (* x (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4)))) (pow (sqrt -1) 2)))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (fma.f32 (*.f32 #s(literal 0 binary32) x) x x))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (pow (sqrt -1) 6)) (* 2 (pow (sqrt -1) 6))))) (* 1/2 (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4))))) (pow (sqrt -1) 2)))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (fma.f32 (.f32 (fma.f32 (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 6 binary32)) x) #s(literal 1/6 binary32) #s(literal 0 binary32)) x) x x))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (* x (+ (* x (+ (* 1/2 (+ (* -1 (pow (sqrt -1) 4)) (pow (sqrt -1) 4))) (* x (+ (* 1/24 (* x (+ (* -12 (pow (sqrt -1) 8)) (* 12 (pow (sqrt -1) 8))))) (* 1/6 (+ (* -3 (pow (sqrt -1) 6)) (* 2 (pow (sqrt -1) 6)))))))) (pow (sqrt -1) 2)))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (fma.f32 (.f32 (fma.f32 (fma.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 6 binary32)) #s(literal -1/6 binary32) (.f32 #s(literal 0 binary32) x)) x #s(literal 0 binary32)) x) x x))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (fabs x) x)
#s(approx (+ 1 (fabs x)) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ 1 (fabs x)) (-.f32 #s(literal 1 binary32) x))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (log.f32 (-.f32 (fabs.f32 (-.f32 x #s(literal 1 binary32))) x)) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) x) x (log1p.f32 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (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)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (-.f32 #s(literal 1 binary32) x))) x) x (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x))) (.f32 x x) (log1p.f32 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (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)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (.f32 #s(literal -1/720 binary32) (.f32 x x)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 30 binary32) (-.f32 #s(literal 1 binary32) x)) #s(literal 45 binary32)) (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 45 binary32) (-.f32 #s(literal 1 binary32) x))) (+.f32 (/.f32 #s(literal -1/8 binary32) (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (-.f32 #s(literal 1 binary32) x)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) x) x (log1p.f32 x))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (log1p.f32 x))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) x) x (log1p.f32 x)))
#s(approx (- (fabs x) -1) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ 1 (fabs x)) (-.f32 #s(literal 1 binary32) x))
#s(approx (/ (+ (* x x) -1) (- (fabs x) 1)) #s(hole binary32 (/ -1 (- (fabs x) 1))))
#s(approx (/ (+ (* x x) -1) (- (fabs x) 1)) (/.f32 #s(literal -1 binary32) (-.f32 x #s(literal 1 binary32))))
#s(approx (/ (+ (* x x) -1) (- (fabs x) 1)) #s(hole binary32 (- (/ (pow x 2) (- (fabs x) 1)) (/ 1 (- (fabs x) 1)))))
#s(approx (/ (+ (* x x) -1) (- (fabs x) 1)) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x #s(literal 1 binary32))))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) #s(hole binary32 (* -1/2 (* x (- (fabs x) 1)))))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) (.f32 (.f32 #s(literal -1/2 binary32) (-.f32 x #s(literal 1 binary32))) x))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) #s(hole binary32 (* x (+ (* -1/2 (- (fabs x) 1)) (* 1/2 (* (pow x 2) (- 1 (fabs x))))))))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) (.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (-.f32 x #s(literal 1 binary32)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) x) x) x))) x))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) #s(hole binary32 (* x (+ (* -1/2 (- (fabs x) 1)) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- 1 (fabs x)))) (* 1/2 (- 1 (fabs x)))))))))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 x #s(literal 1 binary32))) x)))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) #s(hole binary32 (* x (+ (* -1/2 (- (fabs x) 1)) (* (pow x 2) (+ (* 1/2 (- 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- 1 (fabs x)))) (* 1/2 (- 1 (fabs x)))))))))))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) (.f32 (fma.f32 #s(literal -1/2 binary32) (-.f32 (-.f32 x #s(literal 1 binary32)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) x) x) x)) (.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 3 binary32)) #s(literal 1/2 binary32)))) x))
#s(approx (- (fabs x) 1) #s(hole binary32 (- (fabs x) 1)))
#s(approx (- (fabs x) 1) (-.f32 x #s(literal 1 binary32)))
#s(approx (+ (* (sqrt (fabs x)) (sqrt (fabs x))) 1) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ 1 (fabs x)) (-.f32 #s(literal 1 binary32) x))
#s(approx (* (/ 1/2 (+ 1 (fabs x))) x) #s(hole binary32 (* 1/2 (/ x (+ 1 (fabs x))))))
#s(approx (* (/ 1/2 (+ 1 (fabs x))) x) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) x))
#s(approx (* (* (/ 1/2 (+ 1 (fabs x))) x) x) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))
#s(approx (* (* (/ x (+ (* (sqrt (fabs x)) (sqrt (fabs x))) 1)) 1/2) x) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) x) x))
#s(approx (/ (* (* 1/2 x) x) (- (fabs x) -1)) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))
#s(approx (* (* (/ x (+ (* (sqrt (fabs x)) (sqrt (fabs x))) 1)) 1/2) x) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) x) x))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx (fabs x) x)
#s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) #s(hole binary32 (* -1/2 (* (pow x 2) (- (fabs x) 1)))))
#s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) (.f32 (.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) x) x) #s(literal -1/2 binary32)))
#s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) #s(hole binary32 (* (pow x 2) (+ (* -1/2 (- (fabs x) 1)) (* 1/2 (* (pow x 2) (- 1 (fabs x))))))))
#s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) (.f32 (.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (-.f32 x #s(literal 1 binary32)) (.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) x))) x) x))
#s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) #s(hole binary32 (* (pow x 2) (+ (* -1/2 (- (fabs x) 1)) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- 1 (fabs x)))) (* 1/2 (- 1 (fabs x)))))))))
#s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) (.f32 (fma.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 3 binary32)) #s(literal -1/2 binary32)) (.f32 x x) (.f32 #s(literal -1/2 binary32) (-.f32 x #s(literal 1 binary32)))) (*.f32 x x)))
#s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) #s(hole binary32 (* (pow x 2) (+ (* -1/2 (- (fabs x) 1)) (* (pow x 2) (+ (* 1/2 (- 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- 1 (fabs x)))) (* 1/2 (- 1 (fabs x)))))))))))
#s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) (.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) (-.f32 (-.f32 x #s(literal 1 binary32)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) x) x) x)) (.f32 (pow.f32 x #s(literal 4 binary32)) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 3 binary32)) #s(literal 1/2 binary32)))) x) x))
#s(approx (* (* (/ x (+ (* (sqrt (fabs x)) (sqrt (fabs x))) 1)) 1/2) x) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))
#s(approx (* (* (/ x (+ (* (sqrt (fabs x)) (sqrt (fabs x))) 1)) 1/2) x) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) x) x))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ 1 x))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (+.f32 (log.f32 x) (log.f32 #s(literal -2 binary32))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal -2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))))) (/ 3/32 (* (pow x 4) (pow (sqrt -1) 8))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal -2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 8 binary32))) (pow.f32 x #s(literal 4 binary32)))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))) (* 5/96 (/ 1 (* (pow x 6) (pow (sqrt -1) 12))))))) (* 3/32 (/ 1 (* (pow x 4) (pow (sqrt -1) 8)))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (-.f32 (+.f32 (+.f32 (-.f32 (/.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 12 binary32))) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (log.f32 x)) (log.f32 #s(literal -2 binary32))) (/.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 8 binary32))) (pow.f32 x #s(literal 4 binary32)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 x x) (log.f32 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) x) #s(literal -1/2 binary32) x) x) (log.f32 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 #s(literal 3 binary32) x)) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32) (/.f32 (fma.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) x) #s(literal -1/2 binary32) x) x)) (log.f32 x)))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) x) x))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))))
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (-.f32 (/.f32 (/.f32 (log1p.f32 x) x) x) (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) x))) (.f32 x x)))
#s(approx (/ (+ (* x x) -1) (- (fabs x) 1)) #s(hole binary32 (/ (pow x 2) (- (fabs x) 1))))
#s(approx (/ (+ (* x x) -1) (- (fabs x) 1)) (*.f32 x (/.f32 x (-.f32 x #s(literal 1 binary32)))))
#s(approx (/ (+ (* x x) -1) (- (fabs x) 1)) #s(hole binary32 (* (pow x 2) (- (/ 1 (- (fabs x) 1)) (/ 1 (* (pow x 2) (- (fabs x) 1)))))))
#s(approx (/ (+ (* x x) -1) (- (fabs x) 1)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 x #s(literal 1 binary32)) x) x))) (.f32 x x)))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) #s(hole binary32 (* 1/2 (/ (- (fabs x) 1) x))))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) (*.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) x) #s(literal 1/2 binary32)))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) #s(hole binary32 (/ (+ (* 1/2 (- (fabs x) 1)) (* 1/2 (/ (- (fabs x) 1) (pow x 2)))) x)))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) (*.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) x) x))) x)))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) #s(hole binary32 (/ (+ (* 1/2 (- (fabs x) 1)) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (* 1/2 (/ (- (fabs x) 1) (pow x 4))))) x)))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (+.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (/.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) x) x)) (-.f32 x #s(literal 1 binary32)))) x))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) #s(hole binary32 (/ (+ (* 1/2 (- (fabs x) 1)) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 4))) (* 1/2 (/ (- (fabs x) 1) (pow x 6)))))) x)))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) x) x))) (+.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32))) (/.f32 (-.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))) x))
#s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) #s(hole binary32 (* 1/2 (- (fabs x) 1))))
#s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) (*.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)))
#s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) #s(hole binary32 (+ (* 1/2 (- (fabs x) 1)) (* 1/2 (/ (- (fabs x) 1) (pow x 2))))))
#s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) (*.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) x) x))) #s(literal 1/2 binary32)))
#s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) #s(hole binary32 (+ (* 1/2 (- (fabs x) 1)) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (* 1/2 (/ (- (fabs x) 1) (pow x 4)))))))
#s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) (*.f32 #s(literal 1/2 binary32) (+.f32 (+.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (/.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) x) x)) (-.f32 x #s(literal 1 binary32)))))
#s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) #s(hole binary32 (+ (* 1/2 (- (fabs x) 1)) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 4))) (* 1/2 (/ (- (fabs x) 1) (pow x 6))))))))
#s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) (*.f32 #s(literal 1/2 binary32) (+.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) x) x))) (+.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32))) (/.f32 (-.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))))
#s(approx (copysign (asinh (* (sqrt (neg x)) (sqrt (neg x)))) x) #s(hole binary32 (copysign (log (+ (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (copysign (asinh (* (sqrt (neg x)) (sqrt (neg x)))) x) (copysign.f32 (log.f32 (-.f32 (fabs.f32 (-.f32 x #s(literal 1 binary32))) x)) x))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ -1 x))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (-.f32 (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (-.f32 (-.f32 (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 x x) (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) x) #s(literal -1/2 binary32) x) x) (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 3 binary32)) (.f32 #s(literal 3 binary32) x)) x) #s(literal -1/6 binary32) (.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32))) x) x) x) (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) #s(hole binary32 (* -1 (/ (+ (* -1/2 (- (fabs x) 1)) (* -1/2 (/ (- (fabs x) 1) (pow x 2)))) x))))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) (*.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) x) x))) x)))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) #s(hole binary32 (* -1 (/ (+ (* -1/2 (- (fabs x) 1)) (+ (* -1/2 (/ (- (fabs x) 1) (pow x 2))) (* -1/2 (/ (- (fabs x) 1) (pow x 4))))) x))))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (+.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (/.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) x) x)) (-.f32 x #s(literal 1 binary32)))) x))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) #s(hole binary32 (* -1 (/ (+ (* -1/2 (- (fabs x) 1)) (+ (* -1/2 (/ (- (fabs x) 1) (pow x 2))) (+ (* -1/2 (/ (- (fabs x) 1) (pow x 4))) (* -1/2 (/ (- (fabs x) 1) (pow x 6)))))) x))))
#s(approx (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (-.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) x) x))) (+.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32))) (/.f32 (-.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))) x))

rewrite87.0ms (2%)

Memory

-16.8MiB live, 84.7MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	574
0	85	458
1	250	458
0	1428	422

Stop Event

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

Counts

27 → 480

Calls

Call 1

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

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

eval41.0ms (0.9%)

Memory: -3.2MiB live, 39.4MiB allocated; 12ms collecting garbage
Compiler: Compiled 9 726 to 1 508 computations (84.5% saved)

prune21.0ms (0.5%)

Memory

39.4MiB live, 39.4MiB allocated; 0ms collecting garbage

Pruning

27 alts after pruning (19 fresh and 8 done)

	Pruned	Kept	Total
New	218	13	231
Fresh	1	6	7
Picked	1	4	5
Done	2	4	6
Total	222	27	249

Accuracy

100.0%

Counts

249 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	34.8%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
✓	23.6%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
✓	56.0%	(copysign.f32 (asinh.f32 (*.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)))) x)
✓	99.6%	(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
	55.5%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
✓	12.5%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) x) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))) x)
	10.8%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 #s(literal 1/2 binary32) x))))) x)
	12.5%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x)))) x)
	12.4%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) x))) x)
✓	12.8%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x (fma.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)) #s(literal 1 binary32))) #s(literal 1/2 binary32)) x))) x)
	5.6%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x (fma.f32 (sqrt.f32 x) (sqrt.f32 x) #s(literal 1 binary32))) #s(literal 1/2 binary32)) x))) x)
	12.4%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x (/.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)) #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x))) x)
✓	12.4%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))) #s(literal 1/2 binary32)) x))) x)
	12.4%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x (-.f32 (/.f32 (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal -1 binary32))))) #s(literal 1/2 binary32)) x))) x)
	12.8%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (fabs.f32 x)) (neg.f32 (sqrt.f32 (fabs.f32 x)))))) #s(literal 1/2 binary32)) x))) x)
	10.1%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x #s(approx (/ (+ (* x x) -1) (- (fabs x) 1)) (*.f32 x (/.f32 x (-.f32 x #s(literal 1 binary32)))))) #s(literal 1/2 binary32)) x))) x)
	12.8%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)) #s(literal 1 binary32))) x) x))) x)
	5.6%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 x) (sqrt.f32 x) #s(literal 1 binary32))) x) x))) x)
	12.8%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x (/.f32 x (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 (fabs.f32 x) #s(literal 1 binary32))))) x) x))) x)
	10.5%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 x x) (-.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32)) (-.f32 (fabs.f32 x) #s(literal 1 binary32))))) x) x))) x)
	12.9%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) x) x))) x)
✓	12.8%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x))) x)
	12.8%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 x #s(literal -1 binary32)) (/.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) #s(literal 1 binary32))))) x) x))) x)
	12.8%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (*.f32 (sqrt.f32 (fabs.f32 x)) (/.f32 (sqrt.f32 (fabs.f32 x)) (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32))))) #s(literal 1/2 binary32)) x))) x)
	11.0%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) (*.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32))))) x)
	32.1%	(copysign.f32 #s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) x)
	54.4%	(copysign.f32 #s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(approx (fabs x) x)) x)

Compiler

Compiled 2 217 to 906 computations (59.1% saved)

regimes47.0ms (1.1%)

Memory

-14.5MiB live, 30.5MiB allocated; 6ms collecting garbage

Counts

34 → 1

Calls

Call 1

Inputs
(copysign.f32 #s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(approx (fabs x) x)) x)
(copysign.f32 #s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (neg.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(approx (* (* (/ x (/ (+ (* x x) -1) (- (fabs x) 1))) 1/2) x) (*.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) x)) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (.f32 x x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) x) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (+.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 #s(literal 1/2 binary32) x))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x #s(approx (/ (+ (* x x) -1) (- (fabs x) 1)) (*.f32 x (/.f32 x (-.f32 x #s(literal 1 binary32)))))) #s(literal 1/2 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))) #s(literal 1/2 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 x) (sqrt.f32 x) #s(literal 1 binary32))) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x (fma.f32 (sqrt.f32 x) (sqrt.f32 x) #s(literal 1 binary32))) #s(literal 1/2 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 x #s(literal -1 binary32)) (/.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) #s(literal 1 binary32))))) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)) #s(literal 1 binary32))) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x (fma.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)) #s(literal 1 binary32))) #s(literal 1/2 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (fabs.f32 x)) (neg.f32 (sqrt.f32 (fabs.f32 x)))))) #s(literal 1/2 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (*.f32 (sqrt.f32 (fabs.f32 x)) (/.f32 (sqrt.f32 (fabs.f32 x)) (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32))))) #s(literal 1/2 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x (/.f32 x (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 (fabs.f32 x) #s(literal 1 binary32))))) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x (-.f32 (/.f32 (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal -1 binary32))))) #s(literal 1/2 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 x (/.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)) #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 x x) (-.f32 (fabs.f32 x) #s(literal 1 binary32)) (.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32)) (-.f32 (fabs.f32 x) #s(literal 1 binary32))))) x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
(copysign.f32 (asinh.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) x)
(copysign.f32 (asinh.f32 (*.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) x (neg.f32 x)))) x)
(copysign.f32 #s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) x)

Outputs
(copysign.f32 (asinh.f32 (fabs.f32 x)) x)

Calls

2 calls:

38.0ms	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
99.6%	1	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`
99.6%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes22.0ms (0.5%)

Memory

-23.7MiB live, 29.4MiB allocated; 11ms collecting garbage

Counts

26 → 2

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	(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
60.8%	2	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`
60.8%	2	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes13.0ms (0.3%)

Memory

44.4MiB live, 44.4MiB allocated; 0ms collecting garbage

Accuracy

Total -16.4b remaining (-112.2%)

Threshold costs -16.4b (-112.2%)

Counts

24 → 1

Calls

Call 1

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

Outputs
(copysign.f32 #s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(approx (fabs x) x)) x)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
54.4%	1	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`
54.4%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch3.0ms (0.1%)

Memory

-43.7MiB live, 1.4MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.7757214903831482	14.396289825439453

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify55.0ms (1.2%)

Memory

25.4MiB live, 69.3MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	44
1	37	44
2	86	44
3	199	43
4	253	43
5	504	43
6	3265	43
7	7715	43

Stop Event

1×	node limit

Calls

Call 1

Inputs

(copysign.f32 (asinh.f32 (fabs.f32 x)) x)

(if (<=.f32 x #s(literal 1 binary32)) (copysign.f32 #s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(approx (fabs x) x)) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x))

(copysign.f32 #s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(approx (fabs x) x)) x)

Outputs

(copysign.f32 (asinh.f32 (fabs.f32 x)) x)

(if (<=.f32 x #s(literal 1 binary32)) (copysign.f32 #s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(approx (fabs x) x)) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x))

(copysign.f32 #s(approx (asinh (* (sqrt (neg x)) (sqrt (neg x)))) #s(approx (fabs x) x)) x)

derivations284.0ms (6.5%)

Memory

-19.2MiB live, 173.5MiB allocated; 48ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 54 to 24 computations (55.6% saved)

preprocess21.0ms (0.5%)

Memory: 26.6MiB live, 26.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 172 to 86 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample683.0ms (15.6%)

explain301.0ms (6.9%)

preprocess207.0ms (4.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify226.0ms (5.2%)

localize56.0ms (1.3%)

series6.0ms (0.1%)

simplify223.0ms (5.1%)

rewrite80.0ms (1.8%)

eval62.0ms (1.4%)

prune8.0ms (0.2%)

simplify165.0ms (3.8%)

localize92.0ms (2.1%)

series136.0ms (3.1%)

simplify172.0ms (3.9%)

rewrite69.0ms (1.6%)

eval83.0ms (1.9%)

prune6.0ms (0.1%)

simplify169.0ms (3.9%)

localize109.0ms (2.5%)

series48.0ms (1.1%)

simplify117.0ms (2.7%)

rewrite74.0ms (1.7%)

eval19.0ms (0.4%)

prune18.0ms (0.4%)

simplify168.0ms (3.8%)

localize268.0ms (6.1%)

series48.0ms (1.1%)

simplify167.0ms (3.8%)

rewrite87.0ms (2%)

eval41.0ms (0.9%)

prune21.0ms (0.5%)

regimes47.0ms (1.1%)

regimes22.0ms (0.5%)

regimes13.0ms (0.3%)

bsearch3.0ms (0.1%)

simplify55.0ms (1.2%)

derivations284.0ms (6.5%)

preprocess21.0ms (0.5%)

end0.0ms (0%)

Profiling