Metrics for Rust f32::asinh

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample958.0ms (43.9%)

Memory

4.0MiB live, 776.0MiB allocated; 911ms collecting garbage

Samples

836.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 605.0ms

ival-asinh: 604.0ms (99.8% of total)

adjust: 1.0ms (0.2% of total)

Bogosity

explain150.0ms (6.9%)

Memory

-24.2MiB live, 212.1MiB allocated; 24ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
119	-	2	(-0.011363108642399311)	`(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))`
71	-	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	112	2
`sqrt.f32`	`(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))`	oflow-rescue	71	0
↳	`(+.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	71
↳	`(*.f32 x x)`	overflow	71
`log.f32`	`(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))`	oflow-rescue	5	0
↳	`(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))`	overflow	5
↳	`(+.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	71
↳	`(*.f32 x x)`	overflow	71

Confusion

	Predicted +	Predicted -
+	183	2
-	0	71

Precision

1.0

Recall

0.9891891891891892

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	183	2	0
-	0	0	71

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	73
1	178
2	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms	204×	1	valid
24.0ms	308×	0	valid

Compiler

Compiled 114 to 31 computations (72.8% saved)

Precisions

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

ival-hypot: 14.0ms (28.9% of total)

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

ival-copysign: 9.0ms (18.6% of total)

adjust: 6.0ms (12.4% of total)

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

ival-add!: 3.0ms (6.2% of total)

ival-mult!: 3.0ms (6.2% of total)

preprocess5.0ms (0.2%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.9%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Compiler

Compiled 24 to 18 computations (25% saved)

series6.0ms (0.3%)

Memory

10.6MiB live, 10.6MiB allocated; 0ms collecting garbage

Counts

9 → 44

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
#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 (fabs x) #s(hole binary32 (fabs x)))
#s(approx x #s(hole binary32 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 (+ (* x x) 1) #s(hole binary32 1))
#s(approx (+ (* x x) 1) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (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 (+ (* 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))) (* -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	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) x (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1)
2.0ms	x	@	-inf	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) x (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1)
2.0ms	x	@	inf	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) x (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1)

Time

Variable

Point

Expression

2.0ms

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

2.0ms

-inf

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

2.0ms

inf

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

rewrite150.0ms (6.9%)

Memory

-6.0MiB live, 173.7MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	226	1103
0	238	900
1	1345	759
0	8449	710

Stop Event

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

Counts

53 → 111

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

eval11.0ms (0.5%)

Memory: 22.5MiB live, 22.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 144 to 623 computations (70.9% saved)

prune3.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	102	4	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	4	107

Accuracy

99.9%

Counts

107 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.5%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
▶	29.7%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
▶	99.5%	(copysign.f32 (asinh.f32 x) x)
▶	47.8%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) (log1p.f32 x))) x)

Compiler

Compiled 57 to 41 computations (28.1% saved)

series44.0ms (2%)

Memory

-36.2MiB live, 18.3MiB allocated; 42ms collecting garbage

Counts

22 → 93

Calls

Call 1

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

Outputs
#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 (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 x))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* x (+ 1/4 (* -3/10 x))) 1/6))))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (pow x 2)))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* (pow x 2) (+ 1 (* -1 x)))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- x 1))))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx x #s(hole binary32 x))
#s(approx (+ 1 x) #s(hole binary32 1))
#s(approx (+ 1 x) #s(hole binary32 (+ 1 x)))
#s(approx (log (+ 1 x)) #s(hole binary32 x))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* -1/2 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))))
#s(approx (copysign (asinh x) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (asinh x) #s(hole binary32 x))
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#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 (fabs x) #s(hole binary32 (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 (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 (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* 1/2 x)))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (* -1 (/ (log (/ 1 x)) x))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3)))))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 x))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* x (- 1 (/ 1 x)))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* x (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* x (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))))
#s(approx (+ 1 x) #s(hole binary32 x))
#s(approx (+ 1 x) #s(hole binary32 (* x (+ 1 (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ 1 x))))
#s(approx (log (+ 1 x)) #s(hole binary32 (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))))
#s(approx (asinh x) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (asinh x) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh 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 (+ (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 (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (* -1 (log (/ -1 x)))) 1/2) x)) 1/2)))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 3/2 (/ 1 x)))) 1/2) x)) 1/2)))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (/ 1 x) 3/2) x)))) 1/2) x)) 1/2)))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (/ 1 x) 1) x)) 1)))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))))
#s(approx (copysign (asinh x) x) #s(hole binary32 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (asinh x) #s(hole binary32 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#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
36.0ms	x	@	inf	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (/ (* x x) (+ 1 x)) (* x x) x (+ 1 x) 1 1/2 (log (+ 1 x)) (copysign (asinh x) x) (asinh x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (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))) (sqrt (+ (* x x) 1)) (neg x))
5.0ms	x	@	-inf	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (/ (* x x) (+ 1 x)) (* x x) x (+ 1 x) 1 1/2 (log (+ 1 x)) (copysign (asinh x) x) (asinh x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (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))) (sqrt (+ (* x x) 1)) (neg x))
2.0ms	x	@	0	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (/ (* x x) (+ 1 x)) (* x x) x (+ 1 x) 1 1/2 (log (+ 1 x)) (copysign (asinh x) x) (asinh x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (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))) (sqrt (+ (* x x) 1)) (neg x))

Time

Variable

Point

Expression

36.0ms

inf

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

5.0ms

-inf

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

2.0ms

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

rewrite157.0ms (7.2%)

Memory

1.3MiB live, 191.9MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	467	2226
0	486	1908
1	2841	1714
0	8931	1661

Stop Event

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

Counts

115 → 176

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) (log1p.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) (log1p.f32 x)))
(fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) (log1p.f32 x))
(/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x))
(*.f32 x x)
x
(+.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
#s(literal 1/2 binary32)
(log1p.f32 x)
(copysign.f32 (asinh.f32 x) x)
(asinh.f32 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)
#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)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))
(neg.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 (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 (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 x))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* x (+ 1/4 (* -3/10 x))) 1/6))))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (pow x 2)))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* (pow x 2) (+ 1 (* -1 x)))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- x 1))))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx x #s(hole binary32 x))
#s(approx (+ 1 x) #s(hole binary32 1))
#s(approx (+ 1 x) #s(hole binary32 (+ 1 x)))
#s(approx (log (+ 1 x)) #s(hole binary32 x))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* -1/2 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))))
#s(approx (copysign (asinh x) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (asinh x) #s(hole binary32 x))
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#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 (fabs x) #s(hole binary32 (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 (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 (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* 1/2 x)))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (* -1 (/ (log (/ 1 x)) x))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3)))))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 x))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* x (- 1 (/ 1 x)))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* x (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* x (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))))
#s(approx (+ 1 x) #s(hole binary32 x))
#s(approx (+ 1 x) #s(hole binary32 (* x (+ 1 (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ 1 x))))
#s(approx (log (+ 1 x)) #s(hole binary32 (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))))
#s(approx (asinh x) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (asinh x) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh 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 (+ (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 (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (* -1 (log (/ -1 x)))) 1/2) x)) 1/2)))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 3/2 (/ 1 x)))) 1/2) x)) 1/2)))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (/ 1 x) 3/2) x)))) 1/2) x)) 1/2)))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (/ 1 x) 1) x)) 1)))))
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))))
#s(approx (copysign (asinh x) x) #s(hole binary32 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (asinh x) #s(hole binary32 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#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
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) x))) #s(literal 1/2 binary32) (log1p.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) x))) #s(literal 1/2 binary32) (log1p.f32 x)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 x) #s(literal 2 binary32)))) (neg.f32 (-.f32 (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) (log1p.f32 x))))
(/.f32 (neg.f32 (fma.f32 (pow.f32 (.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) x))) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 (log1p.f32 x) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (-.f32 (pow.f32 (log1p.f32 x) #s(literal 2 binary32)) (.f32 (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) (log1p.f32 x))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 x) #s(literal 2 binary32)) (pow.f32 (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))) (neg.f32 (-.f32 (log1p.f32 x) (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log1p.f32 x) #s(literal 3 binary32)) (/.f32 (.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/8 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 3 binary32))))) (neg.f32 (fma.f32 (log1p.f32 x) (log1p.f32 x) (-.f32 (pow.f32 (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (.f32 (log1p.f32 x) (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 x) #s(literal 2 binary32)) (pow.f32 (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) (-.f32 (log1p.f32 x) (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x))))
(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 x) #s(literal 2 binary32))) (-.f32 (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) (log1p.f32 x)))
(/.f32 (+.f32 (pow.f32 (log1p.f32 x) #s(literal 3 binary32)) (/.f32 (.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/8 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 3 binary32)))) (fma.f32 (log1p.f32 x) (log1p.f32 x) (-.f32 (pow.f32 (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (.f32 (log1p.f32 x) (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x))))))
(/.f32 (fma.f32 (pow.f32 (.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) x))) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 (log1p.f32 x) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (-.f32 (pow.f32 (log1p.f32 x) #s(literal 2 binary32)) (.f32 (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) (log1p.f32 x)))))
(-.f32 (log1p.f32 x) (.f32 #s(literal -1/2 binary32) (.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) x)))))
(fma.f32 (*.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) x))) #s(literal 1/2 binary32) (log1p.f32 x))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) x))) (log1p.f32 x))
(+.f32 (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)) (log1p.f32 x))
(+.f32 (log1p.f32 x) (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) x)))
(*.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) x)))
(/.f32 (neg.f32 (neg.f32 (*.f32 x x))) (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) x))))
(/.f32 (neg.f32 (*.f32 x x)) (neg.f32 (+.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x))
(*.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)))
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 x x)
(sqrt.f32 (pow.f32 x #s(literal 4 binary32)))
(pow.f32 (*.f32 x x) #s(literal 1 binary32))
(pow.f32 (neg.f32 x) #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(fabs.f32 (*.f32 (neg.f32 x) x))
(fabs.f32 (*.f32 x (neg.f32 x)))
(fabs.f32 (*.f32 x x))
(+.f32 (cosh.f32 (.f32 (log.f32 x) #s(literal 2 binary32))) (sinh.f32 (.f32 (log.f32 x) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
x
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x)
(*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) x))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (neg.f32 (-.f32 #s(literal 1 binary32) x)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) x))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) x)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)))
(pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) x)
(+.f32 x (*.f32 x (/.f32 #s(literal 1 binary32) x)))
(+.f32 x #s(literal 1 binary32))
(exp.f32 (*.f32 (log1p.f32 x) #s(literal 1 binary32)))
#s(literal 1 binary32)
#s(literal 1/2 binary32)
(log.f32 (+.f32 #s(literal 1 binary32) x))
(-.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (-.f32 (*.f32 x x) x)))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (log1p.f32 (neg.f32 x)))
(log1p.f32 x)
(copysign.f32 (asinh.f32 x) x)
(log.f32 (+.f32 (cosh.f32 (asinh.f32 x)) x))
(-.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (log.f32 (+.f32 (cosh.f32 (asinh.f32 x)) (neg.f32 x))))
(-.f32 (log.f32 (-.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (neg.f32 x) #s(literal 3 binary32)))) (log.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x (*.f32 (cosh.f32 (asinh.f32 x)) (neg.f32 x))))))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (-.f32 x (cosh.f32 (asinh.f32 x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (cosh.f32 (asinh.f32 x)))))))
(asinh.f32 x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x))
(-.f32 (log.f32 (-.f32 (.f32 x x) (pow.f32 #s(approx (sqrt (+ ( x x) 1)) x) #s(literal 2 binary32)))) (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) x))))
(-.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary32)))) (log.f32 (fma.f32 x x (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary32)) (.f32 x #s(approx (sqrt (+ ( x x) 1)) x))))))
(/.f32 (neg.f32 (-.f32 (.f32 x x) (pow.f32 #s(approx (sqrt (+ ( x x) 1)) x) #s(literal 2 binary32)))) (neg.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) x))))
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 x x (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary32)) (.f32 x #s(approx (sqrt (+ ( x x) 1)) x))))))
(/.f32 (-.f32 (.f32 x x) (pow.f32 #s(approx (sqrt (+ ( x x) 1)) x) #s(literal 2 binary32))) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) x)))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary32)) (.f32 x #s(approx (sqrt (+ ( x x) 1)) x)))))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)
(+.f32 x #s(approx (sqrt (+ (* x x) 1)) x))
x
#s(approx (sqrt (+ (* x x) 1)) x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) x)) x)
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) 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 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 3 binary32)))) (log.f32 (fma.f32 x x (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 2 binary32)) (.f32 x #s(approx (sqrt (+ ( x x) 1)) (neg.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 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 x x (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 2 binary32)) (.f32 x #s(approx (sqrt (+ ( x x) 1)) (neg.f32 x)))))))
(/.f32 (-.f32 (.f32 x x) (pow.f32 #s(approx (sqrt (+ ( x x) 1)) (neg.f32 x)) #s(literal 2 binary32))) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 2 binary32)) (.f32 x #s(approx (sqrt (+ ( x x) 1)) (neg.f32 x))))))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) x)
(+.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))
(*.f32 #s(literal -1 binary32) x)
(*.f32 x #s(literal -1 binary32))
(neg.f32 x)
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (asinh.f32 x) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) x))) #s(literal 1/2 binary32) (log1p.f32 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/24 binary32) (.f32 x x)) (fma.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -2 binary32)) #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) 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)))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/720 binary32) (.f32 x x)) (+.f32 (fma.f32 #s(literal 45 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -2 binary32)) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 3 binary32)))) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) x))) (.f32 (fma.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -2 binary32)) #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) x))) #s(literal -1/24 binary32))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x))) (*.f32 x x) (log1p.f32 x)))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 x x) #s(literal 1 binary32)) x))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (.f32 (fma.f32 (-.f32 (.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (.f32 (fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -3/10 binary32) x #s(literal 1/4 binary32)) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (/ (* x x) (+ 1 x)) (*.f32 x x))
#s(approx (/ (* x x) (+ 1 x)) (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 x x)))
#s(approx (/ (* x x) (+ 1 x)) (.f32 (fma.f32 (-.f32 x #s(literal 1 binary32)) x #s(literal 1 binary32)) (.f32 x x)))
#s(approx (/ (* x x) (+ 1 x)) (.f32 (fma.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x #s(literal 1 binary32)) (*.f32 x x)))
#s(approx (* x x) (*.f32 x x))
#s(approx (fabs x) x)
#s(approx (+ 1 x) #s(literal 1 binary32))
#s(approx (+ 1 x) (+.f32 #s(literal 1 binary32) x))
#s(approx (log (+ 1 x)) x)
#s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))
#s(approx (log (+ 1 x)) (.f32 (fma.f32 (-.f32 (.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x))
#s(approx (log (+ 1 x)) (.f32 (fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal 1/3 binary32)) x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (asinh.f32 x) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 x x) #s(literal 1 binary32)) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f32 (fma.f32 (-.f32 (.f32 #s(literal 3/40 binary32) (.f32 x x)) #s(literal 1/6 binary32)) (.f32 x x) #s(literal 1 binary32)) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f32 (fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -5/112 binary32) (.f32 x x) #s(literal 3/40 binary32)) (.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) x) #s(literal 1 binary32)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (.f32 x x) #s(literal 1/2 binary32)) (.f32 x x) x) #s(literal 1 binary32)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 (fma.f32 (-.f32 (.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) x) #s(literal 1 binary32)))
#s(approx (fabs x) x)
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (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)) (fma.f32 (fma.f32 (-.f32 (.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 (neg x) (neg.f32 x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 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)))) (+.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (.f32 x x) #s(literal 1 binary32)) (.f32 x x)) #s(literal 1/2 binary32) (/.f32 x x)) (log.f32 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2 binary32) (.f32 #s(literal -3 binary32) x)) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (.f32 x x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1/2 binary32) (/.f32 x x))) (log.f32 x)))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 #s(literal 1/2 binary32) x))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (log.f32 x) #s(literal 1/2 binary32)) x)) x))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (.f32 (-.f32 (+.f32 (+.f32 (/.f32 (log.f32 x) x) #s(literal 1/2 binary32)) (/.f32 #s(literal 3/2 binary32) (.f32 x x))) (/.f32 #s(literal 1/2 binary32) x)) x))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (.f32 (-.f32 (-.f32 (+.f32 (+.f32 (/.f32 (log.f32 x) x) #s(literal 1/2 binary32)) (/.f32 #s(literal 3/2 binary32) (.f32 x x))) (/.f32 #s(literal 1/2 binary32) x)) (pow.f32 x #s(literal -3 binary32))) x))
#s(approx (/ (* x x) (+ 1 x)) x)
#s(approx (/ (* x x) (+ 1 x)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))
#s(approx (/ (* x x) (+ 1 x)) (*.f32 (-.f32 (+.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x)) x))
#s(approx (/ (* x x) (+ 1 x)) (*.f32 (-.f32 (-.f32 (+.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x)) (pow.f32 x #s(literal -3 binary32))) x))
#s(approx (+ 1 x) x)
#s(approx (+ 1 x) (+.f32 #s(literal 1 binary32) x))
#s(approx (log (+ 1 x)) (log.f32 x))
#s(approx (log (+ 1 x)) (+.f32 (log.f32 x) (/.f32 #s(literal 1 binary32) x)))
#s(approx (log (+ 1 x)) (-.f32 (+.f32 (log.f32 x) (/.f32 #s(literal 1 binary32) x)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))))
#s(approx (log (+ 1 x)) (-.f32 (+.f32 (fma.f32 (pow.f32 x #s(literal -3 binary32)) #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) x)) (log.f32 x)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (*.f32 x #s(literal 2 binary32))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (log.f32 x)) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (+.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (log.f32 x)) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (+.f32 (log.f32 (.f32 x #s(literal 2 binary32))) (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 5/96 binary32) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32)))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (+.f32 (/.f32 x x) #s(literal 1 binary32)) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (+.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) (/.f32 x x)) #s(literal 1 binary32)) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (.f32 (-.f32 (+.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) (/.f32 x x)) #s(literal 1 binary32)) (.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32))) x))
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32)) x))
#s(approx (sqrt (+ (* x x) 1)) (.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32)) (.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32))) x))
#s(approx (sqrt (+ (* x x) 1)) (.f32 (-.f32 (+.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/16 binary32) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) #s(literal 1 binary32)) (*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32))) 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)))) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (/.f32 (neg.f32 x) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 x x) #s(literal 1 binary32)) x) #s(literal -1/2 binary32) x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2 binary32) (.f32 #s(literal -3 binary32) x)) x) #s(literal -1/6 binary32) (.f32 (fma.f32 #s(literal -1 binary32) (*.f32 x x) #s(literal 1 binary32)) #s(literal 1/2 binary32))) x) #s(literal -1 binary32) x) x) #s(literal -1 binary32) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (log.f32 (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))) #s(literal 1/2 binary32)) x)) #s(literal 1/2 binary32))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (+.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (/.f32 #s(literal 3/2 binary32) x)) (log.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) x)) #s(literal 1/2 binary32))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 3/2 binary32)) x)) (log.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) x)) #s(literal 1/2 binary32))))
#s(approx (/ (* x x) (+ 1 x)) (*.f32 (neg.f32 x) (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))))
#s(approx (/ (* x x) (+ 1 x)) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x)) #s(literal 1 binary32))))
#s(approx (/ (* x x) (+ 1 x)) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x)) #s(literal 1 binary32)) x)) #s(literal 1 binary32))))
#s(approx (log (+ 1 x)) (log.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))))
#s(approx (log (+ 1 x)) (+.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x)) (log.f32 #s(literal -1 binary32))))
#s(approx (log (+ 1 x)) (fma.f32 #s(literal -1 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)) x)) (log.f32 #s(literal -1 binary32))))
#s(approx (log (+ 1 x)) (fma.f32 #s(literal -1 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x)) #s(literal 1 binary32)) x)) (log.f32 #s(literal -1 binary32))))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (asinh.f32 x) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 (.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (+.f32 (log.f32 (.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (+.f32 (log.f32 (.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 5/96 binary32) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (neg.f32 x) (fma.f32 (/.f32 x x) #s(literal -1 binary32) #s(literal 1 binary32))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (neg.f32 x) (fma.f32 (/.f32 (-.f32 x (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal -1 binary32) #s(literal 1 binary32))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (.f32 (neg.f32 x) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) x) #s(literal -1 binary32) x) x) #s(literal -1 binary32) #s(literal 1 binary32))))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (neg.f32 x) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32))))
#s(approx (sqrt (+ (* x x) 1)) (.f32 (neg.f32 x) (-.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32)) (.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32)))))
#s(approx (sqrt (+ (* x x) 1)) (.f32 (neg.f32 x) (-.f32 (+.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/16 binary32) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) #s(literal 1 binary32)) (*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32)))))

eval16.0ms (0.7%)

Memory: 23.8MiB live, 23.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 934 to 957 computations (80.6% saved)

prune7.0ms (0.3%)

Memory

-28.8MiB live, 17.3MiB allocated; 3ms collecting garbage

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	163	5	168
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	166	6	172

Accuracy

100.0%

Counts

172 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.7%	(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
✓	99.5%	(copysign.f32 (asinh.f32 x) x)
▶	49.5%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f32 (fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -5/112 binary32) (.f32 x x) #s(literal 3/40 binary32)) (.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x)
▶	49.9%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 x x) #s(literal 1 binary32)) x)) x)
▶	30.4%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32)))) x)
▶	51.0%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)) x)

Compiler

Compiled 232 to 155 computations (33.2% saved)

series75.0ms (3.4%)

Memory

2.0MiB live, 90.8MiB allocated; 9ms collecting garbage

Counts

32 → 111

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)
x
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)
#s(approx (sqrt (+ (* x x) 1)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))))
(log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) x)
#s(literal -1 binary32)
#s(literal 1/2 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 x x) #s(literal 1 binary32)) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 x x) #s(literal 1 binary32)) x))
(.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 x x) #s(literal 1 binary32)) x)
(fma.f32 #s(literal -1/6 binary32) (*.f32 x x) #s(literal 1 binary32))
#s(literal -1/6 binary32)
(*.f32 x x)
#s(literal 1 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f32 (fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -5/112 binary32) (.f32 x x) #s(literal 3/40 binary32)) (.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f32 (fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -5/112 binary32) (.f32 x x) #s(literal 3/40 binary32)) (.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
(.f32 (fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -5/112 binary32) (.f32 x x) #s(literal 3/40 binary32)) (.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -5/112 binary32) (.f32 x x) #s(literal 3/40 binary32)) (.f32 x x)) #s(literal 1/6 binary32)) (.f32 x x) #s(literal 1 binary32))
(-.f32 (.f32 (fma.f32 #s(literal -5/112 binary32) (.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32))
(.f32 (fma.f32 #s(literal -5/112 binary32) (.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x))
(fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32))
#s(literal -5/112 binary32)
#s(literal 3/40 binary32)
#s(literal 1/6 binary32)

Outputs
#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 (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 x))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* x (+ 1/4 (* -3/10 x))) 1/6))))))
#s(approx x #s(hole binary32 x))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 1))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#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 (log (* (/ -1 x) 1/2)) #s(hole binary32 (+ (log -1/2) (* -1 (log x)))))
#s(approx (* (/ -1 x) 1/2) #s(hole binary32 (/ -1/2 x)))
#s(approx (/ -1 x) #s(hole binary32 (/ -1 x)))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary32 x))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary32 1))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 x))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 1))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary32 -1/6))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary32 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary32 (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary32 (* 3/40 (pow x 2))))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary32 (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary32 3/40))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary32 (+ 3/40 (* -5/112 (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 (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* 1/2 x)))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (* -1 (/ (log (/ 1 x)) x))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3)))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) 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 (+ (* x x) 1)) x) #s(hole binary32 (* 2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (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 (* (/ -1 x) 1/2)) #s(hole binary32 (+ (log -1/2) (log (/ 1 x)))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary32 (* -1/6 (pow x 3))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary32 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary32 (* -1/6 (pow x 2))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary32 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* -5/112 (pow x 7))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (* -5/112 (pow x 6))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary32 (* -5/112 (pow x 4))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary32 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary32 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary32 (* -5/112 (pow x 4))))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary32 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary32 (* -5/112 (pow x 2))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary32 (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#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) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (* -1 (log (/ -1 x)))) 1/2) x)) 1/2)))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 3/2 (/ 1 x)))) 1/2) x)) 1/2)))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (/ 1 x) 3/2) x)))) 1/2) x)) 1/2)))))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (/ -1/2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) 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)))))))
#s(approx (log (* (/ -1 x) 1/2)) #s(hole binary32 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary32 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))

Calls

3 calls:

Time	Variable		Point	Expression
28.0ms	x	@	0	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (* (/ -1 x) 1/2)) (* (/ -1 x) 1/2) (/ -1 x) -1 1/2 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (* x x) 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (+ (* -5/112 (* x x)) 3/40) -5/112 3/40 1/6)
22.0ms	x	@	inf	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (* (/ -1 x) 1/2)) (* (/ -1 x) 1/2) (/ -1 x) -1 1/2 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (* x x) 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (+ (* -5/112 (* x x)) 3/40) -5/112 3/40 1/6)
19.0ms	x	@	-inf	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (* (/ -1 x) 1/2)) (* (/ -1 x) 1/2) (/ -1 x) -1 1/2 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (* x x) 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (+ (* -5/112 (* x x)) 3/40) -5/112 3/40 1/6)

Time

Variable

Point

Expression

28.0ms

((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (* (/ -1 x) 1/2)) (* (/ -1 x) 1/2) (/ -1 x) -1 1/2 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (* x x) 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (+ (* -5/112 (* x x)) 3/40) -5/112 3/40 1/6)

22.0ms

inf

((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (* (/ -1 x) 1/2)) (* (/ -1 x) 1/2) (/ -1 x) -1 1/2 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (* x x) 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (+ (* -5/112 (* x x)) 3/40) -5/112 3/40 1/6)

19.0ms

-inf

((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (* (/ -1 x) 1/2)) (* (/ -1 x) 1/2) (/ -1 x) -1 1/2 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (* x x) 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (+ (* -5/112 (* x x)) 3/40) -5/112 3/40 1/6)

rewrite142.0ms (6.5%)

Memory

36.7MiB live, 174.9MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	467	3162
0	496	2750
1	2573	2511
0	8184	2413

Stop Event

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

Counts

143 → 254

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)
x
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)
#s(approx (sqrt (+ (* x x) 1)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))))
(log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) x)
#s(literal -1 binary32)
#s(literal 1/2 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 x x) #s(literal 1 binary32)) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 x x) #s(literal 1 binary32)) x))
(.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 x x) #s(literal 1 binary32)) x)
(fma.f32 #s(literal -1/6 binary32) (*.f32 x x) #s(literal 1 binary32))
#s(literal -1/6 binary32)
(*.f32 x x)
#s(literal 1 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f32 (fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -5/112 binary32) (.f32 x x) #s(literal 3/40 binary32)) (.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f32 (fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -5/112 binary32) (.f32 x x) #s(literal 3/40 binary32)) (.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
(.f32 (fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -5/112 binary32) (.f32 x x) #s(literal 3/40 binary32)) (.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -5/112 binary32) (.f32 x x) #s(literal 3/40 binary32)) (.f32 x x)) #s(literal 1/6 binary32)) (.f32 x x) #s(literal 1 binary32))
(-.f32 (.f32 (fma.f32 #s(literal -5/112 binary32) (.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32))
(.f32 (fma.f32 #s(literal -5/112 binary32) (.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x))
(fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32))
#s(literal -5/112 binary32)
#s(literal 3/40 binary32)
#s(literal 1/6 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 (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 (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 x))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* x (+ 1/4 (* -3/10 x))) 1/6))))))
#s(approx x #s(hole binary32 x))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 1))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#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 (log (* (/ -1 x) 1/2)) #s(hole binary32 (+ (log -1/2) (* -1 (log x)))))
#s(approx (* (/ -1 x) 1/2) #s(hole binary32 (/ -1/2 x)))
#s(approx (/ -1 x) #s(hole binary32 (/ -1 x)))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary32 x))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary32 1))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 x))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 1))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary32 -1/6))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary32 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary32 (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary32 (* 3/40 (pow x 2))))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary32 (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary32 3/40))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary32 (+ 3/40 (* -5/112 (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 (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* 1/2 x)))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (* -1 (/ (log (/ 1 x)) x))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3)))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) 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 (+ (* x x) 1)) x) #s(hole binary32 (* 2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (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 (* (/ -1 x) 1/2)) #s(hole binary32 (+ (log -1/2) (log (/ 1 x)))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary32 (* -1/6 (pow x 3))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary32 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary32 (* -1/6 (pow x 2))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary32 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* -5/112 (pow x 7))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (* -5/112 (pow x 6))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary32 (* -5/112 (pow x 4))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary32 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary32 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary32 (* -5/112 (pow x 4))))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary32 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary32 (* -5/112 (pow x 2))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary32 (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#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) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (* -1 (log (/ -1 x)))) 1/2) x)) 1/2)))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 3/2 (/ 1 x)))) 1/2) x)) 1/2)))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (/ 1 x) 3/2) x)))) 1/2) x)) 1/2)))))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (/ -1/2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) 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)))))))
#s(approx (log (* (/ -1 x) 1/2)) #s(hole binary32 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary32 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))

Outputs
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)) x)
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)
x
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x))
(-.f32 (log.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary32)) (.f32 x x))) (log.f32 (-.f32 #s(approx (sqrt (+ ( x x) 1)) x) x)))
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (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) x)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary32)) (.f32 x x))) (neg.f32 (-.f32 #s(approx (sqrt (+ ( x x) 1)) x) x)))
(/.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (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) 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) x))
(/.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary32)) (pow.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) x))))
(-.f32 (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary32)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) (/.f32 (.f32 x x) (-.f32 #s(approx (sqrt (+ ( x x) 1)) x) x)))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)
(+.f32 x #s(approx (sqrt (+ (* x x) 1)) x))
#s(approx (sqrt (+ (* x x) 1)) x)
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (log.f32 (/.f32 #s(literal -1/2 binary32) x))) x)
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (log.f32 (/.f32 #s(literal -1/2 binary32) x)))
(log.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32)))
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#s(literal -5/112 binary32)
#s(literal 3/40 binary32)
#s(literal 1/6 binary32)
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#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -5/112 binary32)))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (.f32 (-.f32 (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/40 binary32)) #s(literal 5/112 binary32)) (pow.f32 x #s(literal 6 binary32))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (.f32 (-.f32 (-.f32 (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/40 binary32)) #s(literal 5/112 binary32)) (/.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 4 binary32)))) (pow.f32 x #s(literal 6 binary32))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (*.f32 (-.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/40 binary32) (pow.f32 x #s(literal -6 binary32))) #s(literal 5/112 binary32)) (/.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 4 binary32)))) (pow.f32 x #s(literal 6 binary32))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -5/112 binary32)))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (.f32 (-.f32 (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/40 binary32)) #s(literal 5/112 binary32)) (pow.f32 x #s(literal 4 binary32))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (.f32 (-.f32 (-.f32 (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/40 binary32)) #s(literal 5/112 binary32)) (/.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 4 binary32)))) (pow.f32 x #s(literal 4 binary32))))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -5/112 binary32)))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (.f32 (-.f32 (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/40 binary32)) #s(literal 5/112 binary32)) (pow.f32 x #s(literal 4 binary32))))
#s(approx (+ (* -5/112 (* x x)) 3/40) (.f32 (.f32 x x) #s(literal -5/112 binary32)))
#s(approx (+ (* -5/112 (* x x)) 3/40) (.f32 (-.f32 (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/40 binary32)) #s(literal 5/112 binary32)) (*.f32 x x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (/.f32 (neg.f32 x) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal -1 binary32) #s(literal 1 binary32)) x) #s(literal -1/2 binary32) x) x))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2 binary32) (.f32 #s(literal -3 binary32) x)) x) #s(literal -1/6 binary32) (.f32 (fma.f32 (*.f32 x x) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 1/2 binary32))) x) #s(literal -1 binary32) x) x) #s(literal -1 binary32) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (log.f32 (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))) #s(literal 1/2 binary32)) x)) #s(literal 1/2 binary32))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (+.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (/.f32 #s(literal 3/2 binary32) x)) (log.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) x)) #s(literal 1/2 binary32))))
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 3/2 binary32)) x)) (log.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) x)) #s(literal 1/2 binary32))))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (copysign.f32 (asinh.f32 x) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (log.f32 (/.f32 #s(literal -1/2 binary32) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 5/96 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32)))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 #s(literal -1/2 binary32) x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (fma.f32 #s(literal 5/128 binary32) (pow.f32 x #s(literal -6 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32)))) x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (neg.f32 x) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32))))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (neg.f32 x) (-.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))))))
#s(approx (sqrt (+ (* x x) 1)) (.f32 (neg.f32 x) (-.f32 (+.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/16 binary32) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))))))
#s(approx (log (* (/ -1 x) 1/2)) (log.f32 (/.f32 #s(literal -1/2 binary32) x)))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal -2 binary32)))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (neg.f32 (.f32 (-.f32 #s(literal 5/112 binary32) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/40 binary32))) (pow.f32 x #s(literal 7 binary32)))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (neg.f32 (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 5/112 binary32)) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/40 binary32))) (pow.f32 x #s(literal 7 binary32)))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (neg.f32 (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 5/112 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/40 binary32) (pow.f32 x #s(literal -6 binary32)))) (pow.f32 x #s(literal 7 binary32)))))

eval27.0ms (1.3%)

Memory: 1.5MiB live, 46.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 9 518 to 1 597 computations (83.2% saved)

prune9.0ms (0.4%)

Memory

17.3MiB live, 17.3MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	279	2	281
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	280	7	287

Accuracy

100.0%

Counts

287 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	26.7%	(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
▶	30.4%	(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 #s(literal -1/2 binary32) x))) x)
▶	29.6%	(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) x)))) x)
✓	99.5%	(copysign.f32 (asinh.f32 x) x)
✓	49.5%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f32 (fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -5/112 binary32) (.f32 x x) #s(literal 3/40 binary32)) (.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x)
✓	49.9%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 x x) #s(literal 1 binary32)) x)) x)
✓	51.0%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)) x)

Compiler

Compiled 142 to 97 computations (31.7% saved)

series35.0ms (1.6%)

Memory

-40.9MiB live, 13.9MiB allocated; 7ms collecting garbage

Counts

22 → 58

Calls

Call 1

Inputs
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) x)))) x)
(log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) x)))
(neg.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) x))
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) x)
(-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32)))
(+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32)))
#s(literal 1/16 binary32)
(pow.f32 x #s(literal 4 binary32))
x
#s(literal 4 binary32)
#s(literal 1/2 binary32)
(*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))
(pow.f32 x #s(literal -2 binary32))
#s(literal -2 binary32)
#s(literal 1/8 binary32)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 #s(literal -1/2 binary32) x))) x)
(log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 #s(literal -1/2 binary32) x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 #s(literal -1/2 binary32) x))
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)

Outputs
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 1))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#s(approx (neg (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x)) #s(hole binary32 (/ -1/16 (pow x 5))))
#s(approx (neg (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x)) #s(hole binary32 (/ (- (* 1/8 (pow x 2)) 1/16) (pow x 5))))
#s(approx (neg (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x)) #s(hole binary32 (/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 5))))
#s(approx (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x) #s(hole binary32 (/ 1/16 (pow x 5))))
#s(approx (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x) #s(hole binary32 (/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 5))))
#s(approx (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x) #s(hole binary32 (/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 5))))
#s(approx (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) #s(hole binary32 (/ 1/16 (pow x 4))))
#s(approx (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) #s(hole binary32 (/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 4))))
#s(approx (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) #s(hole binary32 (/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 4))))
#s(approx (+ (/ 1/16 (pow x 4)) 1/2) #s(hole binary32 (/ 1/16 (pow x 4))))
#s(approx (+ (/ 1/16 (pow x 4)) 1/2) #s(hole binary32 (/ (+ 1/16 (* 1/2 (pow x 4))) (pow x 4))))
#s(approx (/ 1/16 (pow x 4)) #s(hole binary32 (/ 1/16 (pow x 4))))
#s(approx (pow x 4) #s(hole binary32 (pow x 4)))
#s(approx x #s(hole binary32 x))
#s(approx (* (pow x -2) 1/8) #s(hole binary32 (/ 1/8 (pow x 2))))
#s(approx (pow x -2) #s(hole binary32 (/ 1 (pow x 2))))
#s(approx (/ -1/2 x) #s(hole binary32 (/ -1/2 x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) 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 (+ (* x x) 1)) x) #s(hole binary32 (* 2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (neg (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x)) #s(hole binary32 (/ -1/2 x)))
#s(approx (neg (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x)) #s(hole binary32 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)))
#s(approx (neg (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x)) #s(hole binary32 (/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)))
#s(approx (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x) #s(hole binary32 (/ 1/2 x)))
#s(approx (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x) #s(hole binary32 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x) #s(hole binary32 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) #s(hole binary32 1/2))
#s(approx (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) #s(hole binary32 (- 1/2 (* 1/8 (/ 1 (pow x 2))))))
#s(approx (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) #s(hole binary32 (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2))))))
#s(approx (+ (/ 1/16 (pow x 4)) 1/2) #s(hole binary32 1/2))
#s(approx (+ (/ 1/16 (pow x 4)) 1/2) #s(hole binary32 (+ 1/2 (* 1/16 (/ 1 (pow x 4))))))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (/ -1/2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))))
#s(approx (neg (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x)) #s(hole binary32 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (neg (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x)) #s(hole binary32 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x) #s(hole binary32 (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))))
#s(approx (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x) #s(hole binary32 (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x))))

Calls

3 calls:

Time	Variable		Point	Expression
30.0ms	x	@	0	((copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (neg (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x)) (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x) (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) (+ (/ 1/16 (pow x 4)) 1/2) (/ 1/16 (pow x 4)) 1/16 (pow x 4) x 4 1/2 (* (pow x -2) 1/8) (pow x -2) -2 1/8 (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (/ -1/2 x) -1/2)
2.0ms	x	@	inf	((copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (neg (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x)) (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x) (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) (+ (/ 1/16 (pow x 4)) 1/2) (/ 1/16 (pow x 4)) 1/16 (pow x 4) x 4 1/2 (* (pow x -2) 1/8) (pow x -2) -2 1/8 (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (/ -1/2 x) -1/2)
2.0ms	x	@	-inf	((copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (neg (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x)) (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x) (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) (+ (/ 1/16 (pow x 4)) 1/2) (/ 1/16 (pow x 4)) 1/16 (pow x 4) x 4 1/2 (* (pow x -2) 1/8) (pow x -2) -2 1/8 (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (/ -1/2 x) -1/2)

Time

Variable

Point

Expression

30.0ms

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

2.0ms

inf

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

2.0ms

-inf

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

rewrite233.0ms (10.7%)

Memory

-5.2MiB live, 242.0MiB allocated; 115ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	232	1520
0	251	1342
1	1203	1270
0	8256	1202

Stop Event

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

Counts

80 → 223

Calls

Call 1

Inputs
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) x)))) x)
(log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) x)))
(neg.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) x))
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) x)
(-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32)))
(+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32)))
#s(literal 1/16 binary32)
(pow.f32 x #s(literal 4 binary32))
x
#s(literal 4 binary32)
#s(literal 1/2 binary32)
(*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))
(pow.f32 x #s(literal -2 binary32))
#s(literal -2 binary32)
#s(literal 1/8 binary32)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 #s(literal -1/2 binary32) x))) x)
(log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 #s(literal -1/2 binary32) x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 #s(literal -1/2 binary32) x))
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 1))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#s(approx (neg (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x)) #s(hole binary32 (/ -1/16 (pow x 5))))
#s(approx (neg (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x)) #s(hole binary32 (/ (- (* 1/8 (pow x 2)) 1/16) (pow x 5))))
#s(approx (neg (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x)) #s(hole binary32 (/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 5))))
#s(approx (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x) #s(hole binary32 (/ 1/16 (pow x 5))))
#s(approx (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x) #s(hole binary32 (/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 5))))
#s(approx (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x) #s(hole binary32 (/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 5))))
#s(approx (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) #s(hole binary32 (/ 1/16 (pow x 4))))
#s(approx (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) #s(hole binary32 (/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 4))))
#s(approx (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) #s(hole binary32 (/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 4))))
#s(approx (+ (/ 1/16 (pow x 4)) 1/2) #s(hole binary32 (/ 1/16 (pow x 4))))
#s(approx (+ (/ 1/16 (pow x 4)) 1/2) #s(hole binary32 (/ (+ 1/16 (* 1/2 (pow x 4))) (pow x 4))))
#s(approx (/ 1/16 (pow x 4)) #s(hole binary32 (/ 1/16 (pow x 4))))
#s(approx (pow x 4) #s(hole binary32 (pow x 4)))
#s(approx x #s(hole binary32 x))
#s(approx (* (pow x -2) 1/8) #s(hole binary32 (/ 1/8 (pow x 2))))
#s(approx (pow x -2) #s(hole binary32 (/ 1 (pow x 2))))
#s(approx (/ -1/2 x) #s(hole binary32 (/ -1/2 x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) 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 (+ (* x x) 1)) x) #s(hole binary32 (* 2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (neg (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x)) #s(hole binary32 (/ -1/2 x)))
#s(approx (neg (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x)) #s(hole binary32 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)))
#s(approx (neg (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x)) #s(hole binary32 (/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)))
#s(approx (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x) #s(hole binary32 (/ 1/2 x)))
#s(approx (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x) #s(hole binary32 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x) #s(hole binary32 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) #s(hole binary32 1/2))
#s(approx (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) #s(hole binary32 (- 1/2 (* 1/8 (/ 1 (pow x 2))))))
#s(approx (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) #s(hole binary32 (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2))))))
#s(approx (+ (/ 1/16 (pow x 4)) 1/2) #s(hole binary32 1/2))
#s(approx (+ (/ 1/16 (pow x 4)) 1/2) #s(hole binary32 (+ 1/2 (* 1/16 (/ 1 (pow x 4))))))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (/ -1/2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))))
#s(approx (neg (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x)) #s(hole binary32 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (neg (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x)) #s(hole binary32 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x) #s(hole binary32 (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))))
#s(approx (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x) #s(hole binary32 (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x))))

Outputs
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) (neg.f32 x)))) x)
(log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) (neg.f32 x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) (neg.f32 x)))
(.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32) #s(literal 1/2 binary32)) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) x))
(.f32 (/.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32) #s(literal 1/2 binary32)) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) x) #s(literal -1 binary32))
(/.f32 (neg.f32 (.f32 #s(literal -1 binary32) (-.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32) #s(literal 1/2 binary32)) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))))) (neg.f32 x))
(/.f32 (neg.f32 (neg.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))))) (neg.f32 x))
(/.f32 (.f32 #s(literal -2 binary32) (neg.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32) #s(literal 1/2 binary32)) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))))) (*.f32 #s(literal 2 binary32) (neg.f32 x)))
(/.f32 (.f32 #s(literal -2 binary32) (-.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32) #s(literal 1/2 binary32)) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32)))) (*.f32 #s(literal 2 binary32) x))
(/.f32 (.f32 (neg.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32) #s(literal 1/2 binary32)) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32)))) #s(literal -2 binary32)) (*.f32 (neg.f32 x) #s(literal 2 binary32)))
(/.f32 (.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32) #s(literal 1/2 binary32)) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) x))
(/.f32 (.f32 #s(literal -1 binary32) (-.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32) #s(literal 1/2 binary32)) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32)))) x)
(/.f32 (neg.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32)))) (neg.f32 (neg.f32 x)))
(/.f32 (neg.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32)))) x)
(/.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) (neg.f32 x))
(-.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32) #s(literal 1/2 binary32)) (neg.f32 x)) (/.f32 (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32)) (neg.f32 x)))
(fma.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal -1 binary32) (/.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32) (*.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal -2 binary32)))) (neg.f32 x)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) x) (/.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32) (*.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal -2 binary32)))) (neg.f32 x)))
(+.f32 (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (neg.f32 x)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) (neg.f32 x)))
(+.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32) #s(literal 1/2 binary32)) (neg.f32 x)) (/.f32 (*.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal -2 binary32))) (neg.f32 x)))
(+.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32) #s(literal 1/2 binary32)) (neg.f32 x)) (/.f32 (*.f32 (neg.f32 (pow.f32 x #s(literal -2 binary32))) #s(literal 1/8 binary32)) (neg.f32 x)))
(+.f32 (/.f32 #s(literal -1/2 binary32) x) (/.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32) (*.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal -2 binary32)))) (neg.f32 x)))
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#s(approx (pow x -2) (pow.f32 x #s(literal -2 binary32)))
#s(approx (/ -1/2 x) (/.f32 #s(literal -1/2 binary32) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (log.f32 (*.f32 #s(literal 2 binary32) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 5/96 binary32) (.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 binary32))))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f32 #s(literal 2 binary32) x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 2 binary32)) x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (.f32 (-.f32 (+.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/16 binary32) (.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x))
#s(approx (neg (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x)) (/.f32 #s(literal -1/2 binary32) x))
#s(approx (neg (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x)) (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal -1/2 binary32)) x))
#s(approx (neg (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x)) (/.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal -1/2 binary32)) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32)))) x))
#s(approx (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x) (/.f32 #s(literal 1/2 binary32) x))
#s(approx (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) x))
#s(approx (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x) (/.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) x))
#s(approx (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) #s(literal 1/2 binary32))
#s(approx (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) (-.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))))
#s(approx (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) (-.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))))
#s(approx (+ (/ 1/16 (pow x 4)) 1/2) #s(literal 1/2 binary32))
#s(approx (+ (/ 1/16 (pow x 4)) 1/2) (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32) #s(literal 1/2 binary32)))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (copysign.f32 (log.f32 (-.f32 (cosh.f32 (asinh.f32 x)) (neg.f32 x))) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (log.f32 (.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))) (.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 binary32)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (+.f32 (log.f32 (.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 binary32)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (+.f32 (log.f32 (.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 5/96 binary32) (.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 binary32))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 #s(literal -1/2 binary32) x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) (neg.f32 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f32 (/.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32) #s(literal 1/2 binary32)) (fma.f32 #s(literal 5/128 binary32) (pow.f32 x #s(literal -6 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32)))) x)))
#s(approx (neg (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x)) (neg.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) x)))
#s(approx (neg (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x)) (/.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/16 binary32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) (neg.f32 x)))
#s(approx (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x) (neg.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal -1/2 binary32)) x)))
#s(approx (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x) (neg.f32 (/.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal -1/2 binary32)) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32)))) x)))

eval23.0ms (1.1%)

Memory: 6.0MiB live, 52.0MiB allocated; 2ms collecting garbage
Compiler: Compiled 7 389 to 1 558 computations (78.9% saved)

prune6.0ms (0.3%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	209	1	210
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	210	7	217

Accuracy

100.0%

Counts

217 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	26.7%	(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
✓	30.4%	(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 #s(literal -1/2 binary32) x))) x)
	29.6%	(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) #s(approx (neg (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x)) (/.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal -1/2 binary32)) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32)))) x)))) x)
✓	99.5%	(copysign.f32 (asinh.f32 x) x)
✓	49.5%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f32 (fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -5/112 binary32) (.f32 x x) #s(literal 3/40 binary32)) (.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x)
✓	49.9%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 x x) #s(literal 1 binary32)) x)) x)
✓	51.0%	(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)) x)

Compiler

Compiled 426 to 216 computations (49.3% saved)

regimes8.0ms (0.3%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Counts

13 → 1

Calls

Call 1

Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)) x)
(copysign.f32 (asinh.f32 x) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 #s(literal -1/2 binary32) x))) x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 x x) #s(literal 1 binary32)) 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 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) (log1p.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) #s(approx (neg (/ (- (+ (/ 1/16 (pow x 4)) 1/2) (* (pow x -2) 1/8)) x)) (/.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal -1/2 binary32)) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32)))) x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f32 (fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -5/112 binary32) (.f32 x x) #s(literal 3/40 binary32)) (.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x)

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

Calls

2 calls:

4.0ms	x
3.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
99.5%	1	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`
99.5%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes3.0ms (0.1%)

Memory

-38.3MiB live, 9.0MiB allocated; 1ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
1.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)

Results

Accuracy	Segments	Branch
51.0%	1	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)`
51.0%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

derivations94.0ms (4.3%)

Memory

28.6MiB live, 116.7MiB allocated; 29ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 33 to 19 computations (42.4% saved)

preprocess15.0ms (0.7%)

Memory: -24.3MiB live, 22.4MiB allocated; 4ms collecting garbage
Compiler: Compiled 90 to 56 computations (37.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample958.0ms (43.9%)

explain150.0ms (6.9%)

preprocess5.0ms (0.2%)

series6.0ms (0.3%)

rewrite150.0ms (6.9%)

eval11.0ms (0.5%)

prune3.0ms (0.1%)

series44.0ms (2%)

rewrite157.0ms (7.2%)

eval16.0ms (0.7%)

prune7.0ms (0.3%)

series75.0ms (3.4%)

rewrite142.0ms (6.5%)

eval27.0ms (1.3%)

prune9.0ms (0.4%)

series35.0ms (1.6%)

rewrite233.0ms (10.7%)

eval23.0ms (1.1%)

prune6.0ms (0.3%)

regimes8.0ms (0.3%)

regimes3.0ms (0.1%)

derivations94.0ms (4.3%)

preprocess15.0ms (0.7%)

end0.0ms (0%)

Profiling