Metrics for Rust f64::asinh

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 4 to 4 computations (0% saved)

sample418.0ms (14.6%)

Memory

18.1MiB live, 351.8MiB allocated; 59ms collecting garbage

Samples

252.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-asinh: 95.0ms (95% of total)

ival-assert: 3.0ms (3% of total)

adjust: 2.0ms (2% of total)

Bogosity

explain213.0ms (7.4%)

Memory

0.6MiB live, 234.2MiB allocated; 16ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
119	-	-	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
68	-	-	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(fabs.f64 x)`
0	-	-	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
0	-	-	`(*.f64 x x)`
0	-	-	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`
0	-	-	`(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`	sensitivity	119	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	68	0
↳	`(*.f64 x x)`	overflow	68
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	68

Confusion

	Predicted +	Predicted -
+	187	0
-	0	69

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	187	0	0
-	0	0	69

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	69
1	187

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

73.0ms	106×	2	valid
32.0ms	128×	1	valid
25.0ms	278×	0	valid

Compiler

Compiled 114 to 31 computations (72.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-log: 45.0ms (47.5% of total)

ival-hypot: 18.0ms (19% of total)

adjust: 10.0ms (10.6% of total)

ival-copysign: 7.0ms (7.4% of total)

ival-add: 7.0ms (7.4% of total)

ival-mult: 4.0ms (4.2% of total)

ival-fabs: 3.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

preprocess143.0ms (5%)

Memory

-9.2MiB live, 134.3MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	32.6%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Compiler

Compiled 12 to 9 computations (25% saved)

series7.0ms (0.2%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms collecting garbage

Counts

9 → 44

Calls

Call 1

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

Outputs
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (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 binary64 (+ (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 binary64 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (fabs x) #s(hole binary64 (fabs x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -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 binary64 (+ (* -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 binary64 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* 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 binary64 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -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 binary64 (+ (* -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 binary64 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -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 binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -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)

rewrite162.0ms (5.7%)

Memory

-7.9MiB live, 229.4MiB allocated; 16ms 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.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(fabs.f64 x)
x
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (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 binary64 (+ (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 binary64 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (fabs x) #s(hole binary64 (fabs x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -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 binary64 (+ (* -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 binary64 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* 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 binary64 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -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 binary64 (+ (* -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 binary64 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -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 binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))

Outputs
(copysign.f64 (asinh.f64 x) x)
(asinh.f64 x)
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (-.f64 x (cosh.f64 (asinh.f64 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)))) (log.f64 (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (cosh.f64 (asinh.f64 x)))))))
(log.f64 (+.f64 (cosh.f64 (asinh.f64 x)) x))
(/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (cosh.f64 (asinh.f64 x)) x))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (.f64 x x) (.f64 (cosh.f64 (asinh.f64 x)) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (cosh.f64 (asinh.f64 x)))))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x (cosh.f64 (asinh.f64 x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (cosh.f64 (asinh.f64 x))))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cosh.f64 (asinh.f64 x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x (cosh.f64 (asinh.f64 x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x (cosh.f64 (asinh.f64 x)))))) (/.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x (cosh.f64 (asinh.f64 x)))))))
(+.f64 (cosh.f64 (asinh.f64 x)) x)
(+.f64 x (cosh.f64 (asinh.f64 x)))
x
x
(pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1 binary64) (.f64 x x))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1 binary64))))))
(/.f64 (+.f64 (exp.f64 (asinh.f64 x)) (exp.f64 (neg.f64 (asinh.f64 x)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(cosh.f64 (neg.f64 (asinh.f64 x)))
(cosh.f64 (asinh.f64 (neg.f64 x)))
(cosh.f64 (asinh.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(exp.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) (neg.f64 (cosh.f64 (asinh.f64 x))))
(*.f64 (fabs.f64 (cosh.f64 (asinh.f64 x))) (fabs.f64 (cosh.f64 (asinh.f64 x))))
(*.f64 (cosh.f64 (asinh.f64 x)) (cosh.f64 (asinh.f64 x)))
(pow.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 2 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1 binary64)))))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1 binary64) (.f64 x x))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1 binary64))))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 1 binary64)
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f64 (asinh.f64 x) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (log1p.f64 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 x x) (log1p.f64 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (+.f64 (fma.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/24 binary64))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 x x) (log1p.f64 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) #s(literal 1 binary64)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) x) #s(literal 1 binary64)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) x) #s(literal 1 binary64)))
#s(approx (fabs x) x)
#s(approx (fabs x) x)
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (/.f64 x x) (log.f64 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 1 binary64)) x) (/.f64 x x)) (log.f64 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (.f64 #s(literal -3 binary64) x)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) #s(literal 1 binary64)) x) (/.f64 x x))) (log.f64 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (/.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x x)) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x x)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))) x))
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (sqrt (+ (* x x) 1)) (.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))) x))
#s(approx (sqrt (+ (* x x) 1)) (.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))) x))
#s(approx (+ (* x x) 1) (*.f64 x x))
#s(approx (+ (* x x) 1) (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (/.f64 (neg.f64 x) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 1 binary64)) x) #s(literal -1/2 binary64) x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (.f64 #s(literal -3 binary64) x)) x) #s(literal -1/6 binary64) (.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))) x) #s(literal -1 binary64) x) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f64 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 x x) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 x (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) x) #s(literal -1 binary64) x) x) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64)))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64)))))

eval16.0ms (0.6%)

Memory: 31.3MiB live, 31.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 180 to 626 computations (71.3% saved)

prune29.0ms (1%)

Memory

-20.1MiB live, 36.4MiB allocated; 15ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	105	4	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	4	110

Accuracy

100.0%

Counts

110 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.4%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))) x)
▶	28.1%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))))))) x)
▶	99.9%	(copysign.f64 (asinh.f64 x) x)
▶	47.7%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (+.f64 (fma.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/24 binary64))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 x x) (log1p.f64 x))) x)

Compiler

Compiled 121 to 76 computations (37.2% saved)

series29.0ms (1%)

Memory

-0.2MiB live, 47.7MiB allocated; 2ms collecting garbage

Counts

49 → 236

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (+.f64 (fma.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/24 binary64))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 x x) (log1p.f64 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (+.f64 (fma.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/24 binary64))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 x x) (log1p.f64 x)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (+.f64 (fma.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/24 binary64))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 x x) (log1p.f64 x))
(fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (+.f64 (fma.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/24 binary64))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (+.f64 (fma.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/24 binary64)))
(.f64 #s(literal 1/720 binary64) (.f64 x x))
#s(literal 1/720 binary64)
(*.f64 x x)
x
(+.f64 (fma.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
#s(literal 45 binary64)
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal -2 binary64)
(/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
#s(literal 30 binary64)
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/24 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))
#s(literal -1/24 binary64)
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))
#s(literal 1/2 binary64)
(log1p.f64 x)
(copysign.f64 (asinh.f64 x) x)
(asinh.f64 x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))))))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64)))))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))))))
(fabs.f64 x)
#s(approx (sqrt (+ (* x x) 1)) (.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64)))))
(.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))))
(neg.f64 x)
(-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64)))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(pow.f64 x #s(literal -2 binary64))
(*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))
(pow.f64 x #s(literal -4 binary64))
#s(literal -4 binary64)
#s(literal 1/8 binary64)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)

Outputs
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (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 binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 x))
#s(approx (+ (* (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) #s(hole binary64 (+ 1/2 (* x (- (* 1/4 x) 1/2)))))
#s(approx (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) #s(hole binary64 (+ 1/2 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2)))))
#s(approx (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) #s(hole binary64 -1/4))
#s(approx (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) #s(hole binary64 (- (* 3/8 x) 1/4)))
#s(approx (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) #s(hole binary64 (- (* x (+ 3/8 (* -1/3 x))) 1/4)))
#s(approx (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) #s(hole binary64 (- (* x (+ 3/8 (* x (- (* 5/16 x) 1/3)))) 1/4)))
#s(approx (* 1/720 (* x x)) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x))) #s(hole binary64 120))
#s(approx (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x))) #s(hole binary64 (+ 120 (* -225 x))))
#s(approx (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x))) #s(hole binary64 (+ 120 (* x (- (* 360 x) 225)))))
#s(approx (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x))) #s(hole binary64 (+ 120 (* x (- (* x (+ 360 (* -525 x))) 225)))))
#s(approx (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) #s(hole binary64 75))
#s(approx (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) #s(hole binary64 (+ 75 (* -180 x))))
#s(approx (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) #s(hole binary64 (+ 75 (* x (- (* 315 x) 180)))))
#s(approx (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) #s(hole binary64 (+ 75 (* x (- (* x (+ 315 (* -480 x))) 180)))))
#s(approx (pow (+ 1 x) -2) #s(hole binary64 1))
#s(approx (pow (+ 1 x) -2) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (pow (+ 1 x) -2) #s(hole binary64 (+ 1 (* x (- (* 3 x) 2)))))
#s(approx (pow (+ 1 x) -2) #s(hole binary64 (+ 1 (* x (- (* x (+ 3 (* -4 x))) 2)))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (/ 30 (pow (+ 1 x) 3)) #s(hole binary64 30))
#s(approx (/ 30 (pow (+ 1 x) 3)) #s(hole binary64 (+ 30 (* -90 x))))
#s(approx (/ 30 (pow (+ 1 x) 3)) #s(hole binary64 (+ 30 (* x (- (* 180 x) 90)))))
#s(approx (/ 30 (pow (+ 1 x) 3)) #s(hole binary64 (+ 30 (* x (- (* x (+ 180 (* -300 x))) 90)))))
#s(approx (pow (+ 1 x) 3) #s(hole binary64 1))
#s(approx (pow (+ 1 x) 3) #s(hole binary64 (+ 1 (* 3 x))))
#s(approx (pow (+ 1 x) 3) #s(hole binary64 (+ 1 (* x (+ 3 (* 3 x))))))
#s(approx (pow (+ 1 x) 3) #s(hole binary64 (+ 1 (* x (+ 3 (* x (+ 3 x)))))))
#s(approx (/ 45 (+ 1 x)) #s(hole binary64 45))
#s(approx (/ 45 (+ 1 x)) #s(hole binary64 (+ 45 (* -45 x))))
#s(approx (/ 45 (+ 1 x)) #s(hole binary64 (+ 45 (* x (- (* 45 x) 45)))))
#s(approx (/ 45 (+ 1 x)) #s(hole binary64 (+ 45 (* x (- (* x (+ 45 (* -45 x))) 45)))))
#s(approx (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24) #s(hole binary64 -1/4))
#s(approx (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24) #s(hole binary64 (- (* 3/8 x) 1/4)))
#s(approx (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24) #s(hole binary64 (- (* x (+ 3/8 (* -1/2 x))) 1/4)))
#s(approx (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24) #s(hole binary64 (- (* x (+ 3/8 (* x (- (* 5/8 x) 1/2)))) 1/4)))
#s(approx (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) #s(hole binary64 6))
#s(approx (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) #s(hole binary64 (+ 6 (* -9 x))))
#s(approx (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) #s(hole binary64 (+ 6 (* x (- (* 12 x) 9)))))
#s(approx (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) #s(hole binary64 (+ 6 (* x (- (* x (+ 12 (* -15 x))) 9)))))
#s(approx (/ 3 (+ 1 x)) #s(hole binary64 3))
#s(approx (/ 3 (+ 1 x)) #s(hole binary64 (+ 3 (* -3 x))))
#s(approx (/ 3 (+ 1 x)) #s(hole binary64 (+ 3 (* x (- (* 3 x) 3)))))
#s(approx (/ 3 (+ 1 x)) #s(hole binary64 (+ 3 (* x (- (* x (+ 3 (* -3 x))) 3)))))
#s(approx (/ 1/2 (+ 1 x)) #s(hole binary64 1/2))
#s(approx (/ 1/2 (+ 1 x)) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (/ 1/2 (+ 1 x)) #s(hole binary64 (+ 1/2 (* x (- (* 1/2 x) 1/2)))))
#s(approx (/ 1/2 (+ 1 x)) #s(hole binary64 (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2)))))
#s(approx (log (+ 1 x)) #s(hole binary64 x))
#s(approx (log (+ 1 x)) #s(hole binary64 (* x (+ 1 (* -1/2 x)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (log (+ 1 x)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))))
#s(approx (copysign (asinh x) x) #s(hole binary64 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (asinh x) #s(hole binary64 x))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (asinh x) #s(hole binary64 (* 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 binary64 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (fabs x) #s(hole binary64 (fabs x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (* (neg x) (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8))) #s(hole binary64 (/ 1/8 (pow x 3))))
#s(approx (* (neg x) (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8))) #s(hole binary64 (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))))
#s(approx (* (neg x) (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8))) #s(hole binary64 (/ (+ 1/8 (* (pow x 2) (- (* -1 (pow x 2)) 1/2))) (pow x 3))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8)) #s(hole binary64 (/ -1/8 (pow x 4))))
#s(approx (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8)) #s(hole binary64 (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 4))))
#s(approx (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8)) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8) (pow x 4))))
#s(approx (+ (* (pow x -2) 1/2) 1) #s(hole binary64 (/ 1/2 (pow x 2))))
#s(approx (+ (* (pow x -2) 1/2) 1) #s(hole binary64 (/ (+ 1/2 (pow x 2)) (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* (pow x -4) 1/8) #s(hole binary64 (/ 1/8 (pow x 4))))
#s(approx (pow x -4) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 (/ 1/2 x)))
#s(approx (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 (/ (+ 1/2 (pow x 2)) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -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 binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* 1/16 (pow x 5))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* (pow x 5) (- 1/16 (* 7/48 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* (pow x 5) (- (+ 1/16 (/ 11/16 (pow x 4))) (* 7/48 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* (pow x 5) (- (+ 1/16 (+ (* -1 (/ (log (/ 1 x)) (pow x 5))) (/ 11/16 (pow x 4)))) (+ (* 7/48 (/ 1 (pow x 2))) (* 11/12 (/ 1 (pow x 5))))))))
#s(approx (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) #s(hole binary64 (* 1/16 (pow x 3))))
#s(approx (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) #s(hole binary64 (* (pow x 3) (- 1/16 (* 7/48 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) #s(hole binary64 (* (pow x 3) (- (+ 1/16 (/ 11/16 (pow x 4))) (* 7/48 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) #s(hole binary64 (* (pow x 3) (- (+ 1/16 (/ 11/16 (pow x 4))) (+ (* 7/48 (/ 1 (pow x 2))) (* 11/12 (/ 1 (pow x 5))))))))
#s(approx (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) #s(hole binary64 (* 1/16 x)))
#s(approx (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) #s(hole binary64 (* x (- 1/16 (* 7/48 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) #s(hole binary64 (* x (- (+ 1/16 (/ 3/16 (pow x 4))) (* 7/48 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) #s(hole binary64 (* x (- (+ 1/16 (/ 3/16 (pow x 4))) (+ (* 7/48 (/ 1 (pow x 2))) (* 5/12 (/ 1 (pow x 5))))))))
#s(approx (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x))) #s(hole binary64 (/ 45 x)))
#s(approx (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x))) #s(hole binary64 (/ (- 45 (* 15 (/ 1 (pow x 2)))) x)))
#s(approx (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x))) #s(hole binary64 (/ (- (+ 45 (/ 45 (pow x 4))) (* 15 (/ 1 (pow x 2)))) x)))
#s(approx (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x))) #s(hole binary64 (/ (- (+ 45 (/ 45 (pow x 4))) (+ (* 15 (/ 1 (pow x 2))) (* 120 (/ 1 (pow x 5))))) x)))
#s(approx (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) #s(hole binary64 (/ 45 (pow x 2))))
#s(approx (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) #s(hole binary64 (/ (- 45 (* 60 (/ 1 x))) (pow x 2))))
#s(approx (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) #s(hole binary64 (/ (- (+ 45 (/ 45 (pow x 2))) (* 60 (/ 1 x))) (pow x 2))))
#s(approx (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) #s(hole binary64 (/ (- (+ 45 (/ 45 (pow x 2))) (+ (* 60 (/ 1 x)) (* 75 (/ 1 (pow x 4))))) (pow x 2))))
#s(approx (pow (+ 1 x) -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (pow (+ 1 x) -2) #s(hole binary64 (/ (- 1 (* 2 (/ 1 x))) (pow x 2))))
#s(approx (pow (+ 1 x) -2) #s(hole binary64 (/ (- (+ 1 (/ 3 (pow x 2))) (* 2 (/ 1 x))) (pow x 2))))
#s(approx (pow (+ 1 x) -2) #s(hole binary64 (/ (- (+ 1 (/ 3 (pow x 2))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 (pow x 3))))) (pow x 2))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ 30 (pow (+ 1 x) 3)) #s(hole binary64 (/ 30 (pow x 3))))
#s(approx (/ 30 (pow (+ 1 x) 3)) #s(hole binary64 (/ (- 30 (* 90 (/ 1 x))) (pow x 3))))
#s(approx (/ 30 (pow (+ 1 x) 3)) #s(hole binary64 (/ (- (+ 30 (/ 180 (pow x 2))) (* 90 (/ 1 x))) (pow x 3))))
#s(approx (/ 30 (pow (+ 1 x) 3)) #s(hole binary64 (/ (- (+ 30 (/ 180 (pow x 2))) (+ (* 90 (/ 1 x)) (* 300 (/ 1 (pow x 3))))) (pow x 3))))
#s(approx (pow (+ 1 x) 3) #s(hole binary64 (pow x 3)))
#s(approx (pow (+ 1 x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* 3 (/ 1 x))))))
#s(approx (pow (+ 1 x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (+ (* 3 (/ 1 x)) (/ 3 (pow x 2)))))))
#s(approx (pow (+ 1 x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (+ (* 3 (/ 1 x)) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2))))))))
#s(approx (/ 45 (+ 1 x)) #s(hole binary64 (/ 45 x)))
#s(approx (/ 45 (+ 1 x)) #s(hole binary64 (/ (- 45 (* 45 (/ 1 x))) x)))
#s(approx (/ 45 (+ 1 x)) #s(hole binary64 (/ (- (+ 45 (/ 45 (pow x 2))) (* 45 (/ 1 x))) x)))
#s(approx (/ 45 (+ 1 x)) #s(hole binary64 (/ (- (+ 45 (/ 45 (pow x 2))) (+ (* 45 (/ 1 x)) (* 45 (/ 1 (pow x 3))))) x)))
#s(approx (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24) #s(hole binary64 (/ -1/8 x)))
#s(approx (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24) #s(hole binary64 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/8) x)))
#s(approx (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24) #s(hole binary64 (/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/8 (/ 1/4 (pow x 3)))) x)))
#s(approx (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24) #s(hole binary64 (/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 3/8 (/ 1 (pow x 4)))) (+ 1/8 (/ 1/4 (pow x 3)))) x)))
#s(approx (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) #s(hole binary64 (/ 3 x)))
#s(approx (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) #s(hole binary64 (/ (- 3 (* 3 (/ 1 (pow x 2)))) x)))
#s(approx (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) #s(hole binary64 (/ (- (+ 3 (/ 6 (pow x 3))) (* 3 (/ 1 (pow x 2)))) x)))
#s(approx (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) #s(hole binary64 (/ (- (+ 3 (/ 6 (pow x 3))) (+ (* 3 (/ 1 (pow x 2))) (* 9 (/ 1 (pow x 4))))) x)))
#s(approx (/ 3 (+ 1 x)) #s(hole binary64 (/ 3 x)))
#s(approx (/ 3 (+ 1 x)) #s(hole binary64 (/ (- 3 (* 3 (/ 1 x))) x)))
#s(approx (/ 3 (+ 1 x)) #s(hole binary64 (/ (- (+ 3 (/ 3 (pow x 2))) (* 3 (/ 1 x))) x)))
#s(approx (/ 3 (+ 1 x)) #s(hole binary64 (/ (- (+ 3 (/ 3 (pow x 2))) (+ (* 3 (/ 1 x)) (* 3 (/ 1 (pow x 3))))) x)))
#s(approx (/ 1/2 (+ 1 x)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ 1/2 (+ 1 x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (/ 1 x))) x)))
#s(approx (/ 1/2 (+ 1 x)) #s(hole binary64 (/ (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))) x)))
#s(approx (/ 1/2 (+ 1 x)) #s(hole binary64 (/ (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))) x)))
#s(approx (log (+ 1 x)) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ 1 x))))
#s(approx (log (+ 1 x)) #s(hole binary64 (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))))
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh x) #s(hole binary64 (- (+ (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 binary64 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (* (neg x) (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8))) #s(hole binary64 (* -1 x)))
#s(approx (* (neg x) (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8))) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (* (neg x) (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8))) #s(hole binary64 (* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8)) #s(hole binary64 1))
#s(approx (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8)) #s(hole binary64 (+ 1 (* 1/2 (/ 1 (pow x 2))))))
#s(approx (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8)) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
#s(approx (+ (* (pow x -2) 1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (pow x -2) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -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 binary64 (+ (* -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 (+ (* (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* -1 (* (pow x 5) (- (* 7/48 (/ 1 (pow x 2))) 1/16)))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* -1 (* (pow x 5) (- (* 7/48 (/ 1 (pow x 2))) (+ 1/16 (/ 11/16 (pow x 4))))))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* -1 (* (pow x 5) (- (+ (* -1 (/ (- (+ (log -1) (* -1 (log (/ -1 x)))) 11/12) (pow x 5))) (* 7/48 (/ 1 (pow x 2)))) (+ 1/16 (/ 11/16 (pow x 4))))))))
#s(approx (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) #s(hole binary64 (* -1 (* (pow x 3) (- (* 7/48 (/ 1 (pow x 2))) 1/16)))))
#s(approx (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) #s(hole binary64 (* -1 (* (pow x 3) (- (* 7/48 (/ 1 (pow x 2))) (+ 1/16 (/ 11/16 (pow x 4))))))))
#s(approx (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) #s(hole binary64 (* -1 (* (pow x 3) (- (+ (* 7/48 (/ 1 (pow x 2))) (* 11/12 (/ 1 (pow x 5)))) (+ 1/16 (/ 11/16 (pow x 4))))))))
#s(approx (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) #s(hole binary64 (* -1 (* x (- (* 7/48 (/ 1 (pow x 2))) 1/16)))))
#s(approx (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) #s(hole binary64 (* -1 (* x (- (* 7/48 (/ 1 (pow x 2))) (+ 1/16 (/ 3/16 (pow x 4))))))))
#s(approx (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) #s(hole binary64 (* -1 (* x (- (+ (* 7/48 (/ 1 (pow x 2))) (* 5/12 (/ 1 (pow x 5)))) (+ 1/16 (/ 3/16 (pow x 4))))))))
#s(approx (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x))) #s(hole binary64 (* -1 (/ (- (* 15 (/ 1 (pow x 2))) 45) x))))
#s(approx (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x))) #s(hole binary64 (* -1 (/ (- (* 15 (/ 1 (pow x 2))) (+ 45 (/ 45 (pow x 4)))) x))))
#s(approx (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x))) #s(hole binary64 (* -1 (/ (- (+ (* 15 (/ 1 (pow x 2))) (* 120 (/ 1 (pow x 5)))) (+ 45 (/ 45 (pow x 4)))) x))))
#s(approx (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) #s(hole binary64 (/ (+ 45 (* -1 (/ (- 60 (* 45 (/ 1 x))) x))) (pow x 2))))
#s(approx (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) #s(hole binary64 (/ (+ 45 (* -1 (/ (+ 60 (* -1 (/ (- 45 (* 75 (/ 1 (pow x 2)))) x))) x))) (pow x 2))))
#s(approx (pow (+ 1 x) -2) #s(hole binary64 (/ (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 x))) x))) (pow x 2))))
#s(approx (pow (+ 1 x) -2) #s(hole binary64 (/ (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 x))) x))) x))) (pow x 2))))
#s(approx (/ 30 (pow (+ 1 x) 3)) #s(hole binary64 (* -1 (/ (- (* 90 (/ 1 x)) 30) (pow x 3)))))
#s(approx (/ 30 (pow (+ 1 x) 3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 180 (/ 1 x)) 90) x)) 30) (pow x 3)))))
#s(approx (/ 30 (pow (+ 1 x) 3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 300 (/ 1 x)) 180) x)) 90) x)) 30) (pow x 3)))))
#s(approx (pow (+ 1 x) 3) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 3 (* 3 (/ 1 x))) x)) 1)))))
#s(approx (pow (+ 1 x) 3) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 3 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1)))))
#s(approx (/ 45 (+ 1 x)) #s(hole binary64 (* -1 (/ (- (* 45 (/ 1 x)) 45) x))))
#s(approx (/ 45 (+ 1 x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 45 (/ 1 x)) 45) x)) 45) x))))
#s(approx (/ 45 (+ 1 x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 45 (/ 1 x)) 45) x)) 45) x)) 45) x))))
#s(approx (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24) #s(hole binary64 (* -1 (/ (- 1/8 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24) #s(hole binary64 (* -1 (/ (- (+ 1/8 (/ 1/4 (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24) #s(hole binary64 (* -1 (/ (- (+ 1/8 (* -1 (/ (- (* 3/8 (/ 1 x)) 1/4) (pow x 3)))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) #s(hole binary64 (* -1 (/ (- (* 3 (/ 1 (pow x 2))) 3) x))))
#s(approx (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) #s(hole binary64 (* -1 (/ (- (* 3 (/ 1 (pow x 2))) (+ 3 (/ 6 (pow x 3)))) x))))
#s(approx (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (- 6 (* 9 (/ 1 x))) (pow x 3))) (* 3 (/ 1 (pow x 2)))) 3) x))))
#s(approx (/ 3 (+ 1 x)) #s(hole binary64 (* -1 (/ (- (* 3 (/ 1 x)) 3) x))))
#s(approx (/ 3 (+ 1 x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 3 (/ 1 x)) 3) x)) 3) x))))
#s(approx (/ 3 (+ 1 x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 3 (/ 1 x)) 3) x)) 3) x)) 3) x))))
#s(approx (/ 1/2 (+ 1 x)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x))))
#s(approx (/ 1/2 (+ 1 x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x))))
#s(approx (/ 1/2 (+ 1 x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2) x))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (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 binary64 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (asinh x) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (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 binary64 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -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 binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
#s(approx (* (neg x) (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8))) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))

Calls

3 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* 1/720 (* x x)) 1/720 (* x x) x (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x))) (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) 45 (pow (+ 1 x) -2) (+ 1 x) 1 -2 (/ 30 (pow (+ 1 x) 3)) 30 (pow (+ 1 x) 3) 3 (/ 45 (+ 1 x)) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) (/ 3 (+ 1 x)) -1/24 (/ 1/2 (+ 1 x)) 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)) (* (neg x) (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8))) (neg x) (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8)) (+ (* (pow x -2) 1/2) 1) (pow x -2) (* (pow x -4) 1/8) (pow x -4) -4 1/8 (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)) (* (+ (* (pow x -2) 1/2) 1) x))
8.0ms	x	@	inf	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* 1/720 (* x x)) 1/720 (* x x) x (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x))) (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) 45 (pow (+ 1 x) -2) (+ 1 x) 1 -2 (/ 30 (pow (+ 1 x) 3)) 30 (pow (+ 1 x) 3) 3 (/ 45 (+ 1 x)) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) (/ 3 (+ 1 x)) -1/24 (/ 1/2 (+ 1 x)) 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)) (* (neg x) (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8))) (neg x) (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8)) (+ (* (pow x -2) 1/2) 1) (pow x -2) (* (pow x -4) 1/8) (pow x -4) -4 1/8 (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)) (* (+ (* (pow x -2) 1/2) 1) x))
7.0ms	x	@	-inf	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* 1/720 (* x x)) 1/720 (* x x) x (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x))) (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) 45 (pow (+ 1 x) -2) (+ 1 x) 1 -2 (/ 30 (pow (+ 1 x) 3)) 30 (pow (+ 1 x) 3) 3 (/ 45 (+ 1 x)) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) (/ 3 (+ 1 x)) -1/24 (/ 1/2 (+ 1 x)) 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)) (* (neg x) (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8))) (neg x) (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8)) (+ (* (pow x -2) 1/2) 1) (pow x -2) (* (pow x -4) 1/8) (pow x -4) -4 1/8 (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)) (* (+ (* (pow x -2) 1/2) 1) x))

Time

Variable

Point

Expression

8.0ms

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

8.0ms

inf

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

7.0ms

-inf

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

rewrite194.0ms (6.8%)

Memory

12.3MiB live, 246.3MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1043	7164
0	1111	6598
1	6141	6530
0	8118	6404

Stop Event

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

Counts

285 → 418

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (+.f64 (fma.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/24 binary64))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 x x) (log1p.f64 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (+.f64 (fma.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/24 binary64))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 x x) (log1p.f64 x)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (+.f64 (fma.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/24 binary64))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 x x) (log1p.f64 x))
(fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (+.f64 (fma.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/24 binary64))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (+.f64 (fma.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/24 binary64)))
(.f64 #s(literal 1/720 binary64) (.f64 x x))
#s(literal 1/720 binary64)
(*.f64 x x)
x
(+.f64 (fma.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
#s(literal 45 binary64)
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal -2 binary64)
(/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
#s(literal 30 binary64)
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/24 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))
#s(literal -1/24 binary64)
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))
#s(literal 1/2 binary64)
(log1p.f64 x)
(copysign.f64 (asinh.f64 x) x)
(asinh.f64 x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))))))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64)))))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))))))
(fabs.f64 x)
#s(approx (sqrt (+ (* x x) 1)) (.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64)))))
(.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))))
(neg.f64 x)
(-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64)))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(pow.f64 x #s(literal -2 binary64))
(*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))
(pow.f64 x #s(literal -4 binary64))
#s(literal -4 binary64)
#s(literal 1/8 binary64)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (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 binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 x))
#s(approx (+ (* (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) #s(hole binary64 (+ 1/2 (* x (- (* 1/4 x) 1/2)))))
#s(approx (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) #s(hole binary64 (+ 1/2 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2)))))
#s(approx (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) #s(hole binary64 -1/4))
#s(approx (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) #s(hole binary64 (- (* 3/8 x) 1/4)))
#s(approx (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) #s(hole binary64 (- (* x (+ 3/8 (* -1/3 x))) 1/4)))
#s(approx (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) #s(hole binary64 (- (* x (+ 3/8 (* x (- (* 5/16 x) 1/3)))) 1/4)))
#s(approx (* 1/720 (* x x)) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x))) #s(hole binary64 120))
#s(approx (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x))) #s(hole binary64 (+ 120 (* -225 x))))
#s(approx (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x))) #s(hole binary64 (+ 120 (* x (- (* 360 x) 225)))))
#s(approx (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x))) #s(hole binary64 (+ 120 (* x (- (* x (+ 360 (* -525 x))) 225)))))
#s(approx (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) #s(hole binary64 75))
#s(approx (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) #s(hole binary64 (+ 75 (* -180 x))))
#s(approx (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) #s(hole binary64 (+ 75 (* x (- (* 315 x) 180)))))
#s(approx (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) #s(hole binary64 (+ 75 (* x (- (* x (+ 315 (* -480 x))) 180)))))
#s(approx (pow (+ 1 x) -2) #s(hole binary64 1))
#s(approx (pow (+ 1 x) -2) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (pow (+ 1 x) -2) #s(hole binary64 (+ 1 (* x (- (* 3 x) 2)))))
#s(approx (pow (+ 1 x) -2) #s(hole binary64 (+ 1 (* x (- (* x (+ 3 (* -4 x))) 2)))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (/ 30 (pow (+ 1 x) 3)) #s(hole binary64 30))
#s(approx (/ 30 (pow (+ 1 x) 3)) #s(hole binary64 (+ 30 (* -90 x))))
#s(approx (/ 30 (pow (+ 1 x) 3)) #s(hole binary64 (+ 30 (* x (- (* 180 x) 90)))))
#s(approx (/ 30 (pow (+ 1 x) 3)) #s(hole binary64 (+ 30 (* x (- (* x (+ 180 (* -300 x))) 90)))))
#s(approx (pow (+ 1 x) 3) #s(hole binary64 1))
#s(approx (pow (+ 1 x) 3) #s(hole binary64 (+ 1 (* 3 x))))
#s(approx (pow (+ 1 x) 3) #s(hole binary64 (+ 1 (* x (+ 3 (* 3 x))))))
#s(approx (pow (+ 1 x) 3) #s(hole binary64 (+ 1 (* x (+ 3 (* x (+ 3 x)))))))
#s(approx (/ 45 (+ 1 x)) #s(hole binary64 45))
#s(approx (/ 45 (+ 1 x)) #s(hole binary64 (+ 45 (* -45 x))))
#s(approx (/ 45 (+ 1 x)) #s(hole binary64 (+ 45 (* x (- (* 45 x) 45)))))
#s(approx (/ 45 (+ 1 x)) #s(hole binary64 (+ 45 (* x (- (* x (+ 45 (* -45 x))) 45)))))
#s(approx (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24) #s(hole binary64 -1/4))
#s(approx (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24) #s(hole binary64 (- (* 3/8 x) 1/4)))
#s(approx (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24) #s(hole binary64 (- (* x (+ 3/8 (* -1/2 x))) 1/4)))
#s(approx (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24) #s(hole binary64 (- (* x (+ 3/8 (* x (- (* 5/8 x) 1/2)))) 1/4)))
#s(approx (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) #s(hole binary64 6))
#s(approx (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) #s(hole binary64 (+ 6 (* -9 x))))
#s(approx (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) #s(hole binary64 (+ 6 (* x (- (* 12 x) 9)))))
#s(approx (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) #s(hole binary64 (+ 6 (* x (- (* x (+ 12 (* -15 x))) 9)))))
#s(approx (/ 3 (+ 1 x)) #s(hole binary64 3))
#s(approx (/ 3 (+ 1 x)) #s(hole binary64 (+ 3 (* -3 x))))
#s(approx (/ 3 (+ 1 x)) #s(hole binary64 (+ 3 (* x (- (* 3 x) 3)))))
#s(approx (/ 3 (+ 1 x)) #s(hole binary64 (+ 3 (* x (- (* x (+ 3 (* -3 x))) 3)))))
#s(approx (/ 1/2 (+ 1 x)) #s(hole binary64 1/2))
#s(approx (/ 1/2 (+ 1 x)) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (/ 1/2 (+ 1 x)) #s(hole binary64 (+ 1/2 (* x (- (* 1/2 x) 1/2)))))
#s(approx (/ 1/2 (+ 1 x)) #s(hole binary64 (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2)))))
#s(approx (log (+ 1 x)) #s(hole binary64 x))
#s(approx (log (+ 1 x)) #s(hole binary64 (* x (+ 1 (* -1/2 x)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (log (+ 1 x)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))))
#s(approx (copysign (asinh x) x) #s(hole binary64 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (asinh x) #s(hole binary64 x))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (asinh x) #s(hole binary64 (* 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 binary64 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (fabs x) #s(hole binary64 (fabs x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (* (neg x) (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8))) #s(hole binary64 (/ 1/8 (pow x 3))))
#s(approx (* (neg x) (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8))) #s(hole binary64 (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))))
#s(approx (* (neg x) (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8))) #s(hole binary64 (/ (+ 1/8 (* (pow x 2) (- (* -1 (pow x 2)) 1/2))) (pow x 3))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8)) #s(hole binary64 (/ -1/8 (pow x 4))))
#s(approx (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8)) #s(hole binary64 (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 4))))
#s(approx (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8)) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8) (pow x 4))))
#s(approx (+ (* (pow x -2) 1/2) 1) #s(hole binary64 (/ 1/2 (pow x 2))))
#s(approx (+ (* (pow x -2) 1/2) 1) #s(hole binary64 (/ (+ 1/2 (pow x 2)) (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* (pow x -4) 1/8) #s(hole binary64 (/ 1/8 (pow x 4))))
#s(approx (pow x -4) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 (/ 1/2 x)))
#s(approx (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 (/ (+ 1/2 (pow x 2)) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -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 binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* 1/16 (pow x 5))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* (pow x 5) (- 1/16 (* 7/48 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* (pow x 5) (- (+ 1/16 (/ 11/16 (pow x 4))) (* 7/48 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* (pow x 5) (- (+ 1/16 (+ (* -1 (/ (log (/ 1 x)) (pow x 5))) (/ 11/16 (pow x 4)))) (+ (* 7/48 (/ 1 (pow x 2))) (* 11/12 (/ 1 (pow x 5))))))))
#s(approx (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) #s(hole binary64 (* 1/16 (pow x 3))))
#s(approx (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) #s(hole binary64 (* (pow x 3) (- 1/16 (* 7/48 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) #s(hole binary64 (* (pow x 3) (- (+ 1/16 (/ 11/16 (pow x 4))) (* 7/48 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) #s(hole binary64 (* (pow x 3) (- (+ 1/16 (/ 11/16 (pow x 4))) (+ (* 7/48 (/ 1 (pow x 2))) (* 11/12 (/ 1 (pow x 5))))))))
#s(approx (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) #s(hole binary64 (* 1/16 x)))
#s(approx (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) #s(hole binary64 (* x (- 1/16 (* 7/48 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) #s(hole binary64 (* x (- (+ 1/16 (/ 3/16 (pow x 4))) (* 7/48 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) #s(hole binary64 (* x (- (+ 1/16 (/ 3/16 (pow x 4))) (+ (* 7/48 (/ 1 (pow x 2))) (* 5/12 (/ 1 (pow x 5))))))))
#s(approx (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x))) #s(hole binary64 (/ 45 x)))
#s(approx (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x))) #s(hole binary64 (/ (- 45 (* 15 (/ 1 (pow x 2)))) x)))
#s(approx (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x))) #s(hole binary64 (/ (- (+ 45 (/ 45 (pow x 4))) (* 15 (/ 1 (pow x 2)))) x)))
#s(approx (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x))) #s(hole binary64 (/ (- (+ 45 (/ 45 (pow x 4))) (+ (* 15 (/ 1 (pow x 2))) (* 120 (/ 1 (pow x 5))))) x)))
#s(approx (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) #s(hole binary64 (/ 45 (pow x 2))))
#s(approx (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) #s(hole binary64 (/ (- 45 (* 60 (/ 1 x))) (pow x 2))))
#s(approx (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) #s(hole binary64 (/ (- (+ 45 (/ 45 (pow x 2))) (* 60 (/ 1 x))) (pow x 2))))
#s(approx (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) #s(hole binary64 (/ (- (+ 45 (/ 45 (pow x 2))) (+ (* 60 (/ 1 x)) (* 75 (/ 1 (pow x 4))))) (pow x 2))))
#s(approx (pow (+ 1 x) -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (pow (+ 1 x) -2) #s(hole binary64 (/ (- 1 (* 2 (/ 1 x))) (pow x 2))))
#s(approx (pow (+ 1 x) -2) #s(hole binary64 (/ (- (+ 1 (/ 3 (pow x 2))) (* 2 (/ 1 x))) (pow x 2))))
#s(approx (pow (+ 1 x) -2) #s(hole binary64 (/ (- (+ 1 (/ 3 (pow x 2))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 (pow x 3))))) (pow x 2))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ 30 (pow (+ 1 x) 3)) #s(hole binary64 (/ 30 (pow x 3))))
#s(approx (/ 30 (pow (+ 1 x) 3)) #s(hole binary64 (/ (- 30 (* 90 (/ 1 x))) (pow x 3))))
#s(approx (/ 30 (pow (+ 1 x) 3)) #s(hole binary64 (/ (- (+ 30 (/ 180 (pow x 2))) (* 90 (/ 1 x))) (pow x 3))))
#s(approx (/ 30 (pow (+ 1 x) 3)) #s(hole binary64 (/ (- (+ 30 (/ 180 (pow x 2))) (+ (* 90 (/ 1 x)) (* 300 (/ 1 (pow x 3))))) (pow x 3))))
#s(approx (pow (+ 1 x) 3) #s(hole binary64 (pow x 3)))
#s(approx (pow (+ 1 x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* 3 (/ 1 x))))))
#s(approx (pow (+ 1 x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (+ (* 3 (/ 1 x)) (/ 3 (pow x 2)))))))
#s(approx (pow (+ 1 x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (+ (* 3 (/ 1 x)) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2))))))))
#s(approx (/ 45 (+ 1 x)) #s(hole binary64 (/ 45 x)))
#s(approx (/ 45 (+ 1 x)) #s(hole binary64 (/ (- 45 (* 45 (/ 1 x))) x)))
#s(approx (/ 45 (+ 1 x)) #s(hole binary64 (/ (- (+ 45 (/ 45 (pow x 2))) (* 45 (/ 1 x))) x)))
#s(approx (/ 45 (+ 1 x)) #s(hole binary64 (/ (- (+ 45 (/ 45 (pow x 2))) (+ (* 45 (/ 1 x)) (* 45 (/ 1 (pow x 3))))) x)))
#s(approx (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24) #s(hole binary64 (/ -1/8 x)))
#s(approx (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24) #s(hole binary64 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/8) x)))
#s(approx (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24) #s(hole binary64 (/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/8 (/ 1/4 (pow x 3)))) x)))
#s(approx (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24) #s(hole binary64 (/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 3/8 (/ 1 (pow x 4)))) (+ 1/8 (/ 1/4 (pow x 3)))) x)))
#s(approx (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) #s(hole binary64 (/ 3 x)))
#s(approx (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) #s(hole binary64 (/ (- 3 (* 3 (/ 1 (pow x 2)))) x)))
#s(approx (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) #s(hole binary64 (/ (- (+ 3 (/ 6 (pow x 3))) (* 3 (/ 1 (pow x 2)))) x)))
#s(approx (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) #s(hole binary64 (/ (- (+ 3 (/ 6 (pow x 3))) (+ (* 3 (/ 1 (pow x 2))) (* 9 (/ 1 (pow x 4))))) x)))
#s(approx (/ 3 (+ 1 x)) #s(hole binary64 (/ 3 x)))
#s(approx (/ 3 (+ 1 x)) #s(hole binary64 (/ (- 3 (* 3 (/ 1 x))) x)))
#s(approx (/ 3 (+ 1 x)) #s(hole binary64 (/ (- (+ 3 (/ 3 (pow x 2))) (* 3 (/ 1 x))) x)))
#s(approx (/ 3 (+ 1 x)) #s(hole binary64 (/ (- (+ 3 (/ 3 (pow x 2))) (+ (* 3 (/ 1 x)) (* 3 (/ 1 (pow x 3))))) x)))
#s(approx (/ 1/2 (+ 1 x)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ 1/2 (+ 1 x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (/ 1 x))) x)))
#s(approx (/ 1/2 (+ 1 x)) #s(hole binary64 (/ (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))) x)))
#s(approx (/ 1/2 (+ 1 x)) #s(hole binary64 (/ (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))) x)))
#s(approx (log (+ 1 x)) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ 1 x))))
#s(approx (log (+ 1 x)) #s(hole binary64 (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))))
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh x) #s(hole binary64 (- (+ (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 binary64 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (* (neg x) (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8))) #s(hole binary64 (* -1 x)))
#s(approx (* (neg x) (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8))) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (* (neg x) (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8))) #s(hole binary64 (* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8)) #s(hole binary64 1))
#s(approx (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8)) #s(hole binary64 (+ 1 (* 1/2 (/ 1 (pow x 2))))))
#s(approx (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8)) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
#s(approx (+ (* (pow x -2) 1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (pow x -2) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -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 binary64 (+ (* -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 (+ (* (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* -1 (* (pow x 5) (- (* 7/48 (/ 1 (pow x 2))) 1/16)))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* -1 (* (pow x 5) (- (* 7/48 (/ 1 (pow x 2))) (+ 1/16 (/ 11/16 (pow x 4))))))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* -1 (* (pow x 5) (- (+ (* -1 (/ (- (+ (log -1) (* -1 (log (/ -1 x)))) 11/12) (pow x 5))) (* 7/48 (/ 1 (pow x 2)))) (+ 1/16 (/ 11/16 (pow x 4))))))))
#s(approx (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) #s(hole binary64 (* -1 (* (pow x 3) (- (* 7/48 (/ 1 (pow x 2))) 1/16)))))
#s(approx (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) #s(hole binary64 (* -1 (* (pow x 3) (- (* 7/48 (/ 1 (pow x 2))) (+ 1/16 (/ 11/16 (pow x 4))))))))
#s(approx (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) #s(hole binary64 (* -1 (* (pow x 3) (- (+ (* 7/48 (/ 1 (pow x 2))) (* 11/12 (/ 1 (pow x 5)))) (+ 1/16 (/ 11/16 (pow x 4))))))))
#s(approx (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) #s(hole binary64 (* -1 (* x (- (* 7/48 (/ 1 (pow x 2))) 1/16)))))
#s(approx (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) #s(hole binary64 (* -1 (* x (- (* 7/48 (/ 1 (pow x 2))) (+ 1/16 (/ 3/16 (pow x 4))))))))
#s(approx (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) #s(hole binary64 (* -1 (* x (- (+ (* 7/48 (/ 1 (pow x 2))) (* 5/12 (/ 1 (pow x 5)))) (+ 1/16 (/ 3/16 (pow x 4))))))))
#s(approx (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x))) #s(hole binary64 (* -1 (/ (- (* 15 (/ 1 (pow x 2))) 45) x))))
#s(approx (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x))) #s(hole binary64 (* -1 (/ (- (* 15 (/ 1 (pow x 2))) (+ 45 (/ 45 (pow x 4)))) x))))
#s(approx (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x))) #s(hole binary64 (* -1 (/ (- (+ (* 15 (/ 1 (pow x 2))) (* 120 (/ 1 (pow x 5)))) (+ 45 (/ 45 (pow x 4)))) x))))
#s(approx (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) #s(hole binary64 (/ (+ 45 (* -1 (/ (- 60 (* 45 (/ 1 x))) x))) (pow x 2))))
#s(approx (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) #s(hole binary64 (/ (+ 45 (* -1 (/ (+ 60 (* -1 (/ (- 45 (* 75 (/ 1 (pow x 2)))) x))) x))) (pow x 2))))
#s(approx (pow (+ 1 x) -2) #s(hole binary64 (/ (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 x))) x))) (pow x 2))))
#s(approx (pow (+ 1 x) -2) #s(hole binary64 (/ (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 x))) x))) x))) (pow x 2))))
#s(approx (/ 30 (pow (+ 1 x) 3)) #s(hole binary64 (* -1 (/ (- (* 90 (/ 1 x)) 30) (pow x 3)))))
#s(approx (/ 30 (pow (+ 1 x) 3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 180 (/ 1 x)) 90) x)) 30) (pow x 3)))))
#s(approx (/ 30 (pow (+ 1 x) 3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 300 (/ 1 x)) 180) x)) 90) x)) 30) (pow x 3)))))
#s(approx (pow (+ 1 x) 3) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 3 (* 3 (/ 1 x))) x)) 1)))))
#s(approx (pow (+ 1 x) 3) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 3 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1)))))
#s(approx (/ 45 (+ 1 x)) #s(hole binary64 (* -1 (/ (- (* 45 (/ 1 x)) 45) x))))
#s(approx (/ 45 (+ 1 x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 45 (/ 1 x)) 45) x)) 45) x))))
#s(approx (/ 45 (+ 1 x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 45 (/ 1 x)) 45) x)) 45) x)) 45) x))))
#s(approx (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24) #s(hole binary64 (* -1 (/ (- 1/8 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24) #s(hole binary64 (* -1 (/ (- (+ 1/8 (/ 1/4 (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24) #s(hole binary64 (* -1 (/ (- (+ 1/8 (* -1 (/ (- (* 3/8 (/ 1 x)) 1/4) (pow x 3)))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) #s(hole binary64 (* -1 (/ (- (* 3 (/ 1 (pow x 2))) 3) x))))
#s(approx (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) #s(hole binary64 (* -1 (/ (- (* 3 (/ 1 (pow x 2))) (+ 3 (/ 6 (pow x 3)))) x))))
#s(approx (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (- 6 (* 9 (/ 1 x))) (pow x 3))) (* 3 (/ 1 (pow x 2)))) 3) x))))
#s(approx (/ 3 (+ 1 x)) #s(hole binary64 (* -1 (/ (- (* 3 (/ 1 x)) 3) x))))
#s(approx (/ 3 (+ 1 x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 3 (/ 1 x)) 3) x)) 3) x))))
#s(approx (/ 3 (+ 1 x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 3 (/ 1 x)) 3) x)) 3) x)) 3) x))))
#s(approx (/ 1/2 (+ 1 x)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x))))
#s(approx (/ 1/2 (+ 1 x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x))))
#s(approx (/ 1/2 (+ 1 x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2) x))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (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 binary64 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (asinh x) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (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 binary64 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -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 binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
#s(approx (* (neg x) (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8))) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))

Outputs
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#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/24 binary64) (.f64 (+.f64 (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 45 binary64) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))) (.f64 (.f64 x x) #s(literal 1/720 binary64)))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 x x) (log1p.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/24 binary64) (.f64 (+.f64 (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 45 binary64) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))) (.f64 (.f64 x x) #s(literal 1/720 binary64)))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (.f64 x x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/24 binary64) (.f64 (+.f64 (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 45 binary64) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))) (.f64 (.f64 x x) #s(literal 1/720 binary64)))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (.f64 x x))) (.f64 (log1p.f64 x) (log1p.f64 x))) (-.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/24 binary64) (.f64 (+.f64 (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 45 binary64) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))) (.f64 (.f64 x x) #s(literal 1/720 binary64)))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (.f64 x x)) (log1p.f64 x)))
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#s(approx (asinh x) (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1 binary64)))))
#s(approx (asinh x) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (log.f64 (pow.f64 x #s(literal 1 binary64)))) (log.f64 #s(literal 2 binary64))))
#s(approx (asinh x) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (log.f64 (pow.f64 x #s(literal 1 binary64)))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (asinh x) (-.f64 (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1 binary64)))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (/.f64 (fabs.f64 x) x) #s(literal 1 binary64)) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fabs.f64 x) x)) #s(literal 1 binary64)) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fabs.f64 x) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))) x))
#s(approx (sqrt (+ (* x x) 1)) (.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (* (neg x) (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8))) (neg.f64 x))
#s(approx (* (neg x) (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8))) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (neg x) (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8))) (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8)) #s(literal 1 binary64))
#s(approx (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (* (pow x -2) 1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (pow x -2) 1/2) 1) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (+ (* (pow x -2) 1/2) 1) x) x)
#s(approx (* (+ (* (pow x -2) 1/2) 1) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fabs.f64 x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 1 binary64)) x) #s(literal -1/2 binary64) (fabs.f64 x)) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64) (.f64 #s(literal -3 binary64) (fabs.f64 x))) x) #s(literal -1/6 binary64) (.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))) x) #s(literal -1 binary64) (fabs.f64 x)) x))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) (neg.f64 (.f64 (-.f64 (.f64 #s(literal 7/48 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) (neg.f64 (.f64 (-.f64 (-.f64 (.f64 #s(literal 7/48 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 11/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 7/48 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (/.f64 (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 11/12 binary64)) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 11/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/16 binary64))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 7/48 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/16 binary64))))
#s(approx (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (-.f64 (.f64 #s(literal 7/48 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 11/16 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (* (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (* x x)) (/ 1/2 (+ 1 x))) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 11/12 binary64) (.f64 #s(literal 7/48 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1/16 binary64)) (/.f64 #s(literal 11/16 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal 7/48 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/16 binary64))))
#s(approx (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (.f64 (neg.f64 x) (-.f64 (-.f64 (.f64 #s(literal 7/48 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (* (* 1/720 (* x x)) (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x)))) (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24)) (.f64 (neg.f64 x) (-.f64 (-.f64 (fma.f64 #s(literal 5/12 binary64) (pow.f64 x #s(literal -5 binary64)) (.f64 #s(literal 7/48 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1/16 binary64)) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x))) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 15 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 45 binary64)) x)))
#s(approx (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x))) (neg.f64 (/.f64 (-.f64 (-.f64 (*.f64 #s(literal 15 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 45 binary64)) (/.f64 #s(literal 45 binary64) (pow.f64 x #s(literal 4 binary64)))) x)))
#s(approx (+ (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/ 45 (+ 1 x))) (neg.f64 (/.f64 (-.f64 (-.f64 (fma.f64 #s(literal 15 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 120 binary64))) #s(literal 45 binary64)) (/.f64 #s(literal 45 binary64) (pow.f64 x #s(literal 4 binary64)))) x)))
#s(approx (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 60 binary64) (/.f64 #s(literal 45 binary64) x)) x) #s(literal -1 binary64) #s(literal 45 binary64)) (*.f64 x x)))
#s(approx (+ (* 45 (pow (+ 1 x) -2)) (/ 30 (pow (+ 1 x) 3))) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 45 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 75 binary64))) x) #s(literal -1 binary64) #s(literal 60 binary64)) x) #s(literal -1 binary64) #s(literal 45 binary64)) (.f64 x x)))
#s(approx (pow (+ 1 x) -2) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) x)) x) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (pow (+ 1 x) -2) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 4 binary64) x)) x) #s(literal -1 binary64) #s(literal 2 binary64)) x) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ 30 (pow (+ 1 x) 3)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 90 binary64) x) #s(literal 30 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ 30 (pow (+ 1 x) 3)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 180 binary64) x) #s(literal 90 binary64)) x)) #s(literal 30 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ 30 (pow (+ 1 x) 3)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 300 binary64) x) #s(literal 180 binary64)) x)) #s(literal 90 binary64)) x)) #s(literal 30 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (pow (+ 1 x) 3) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x)) #s(literal 1 binary64))))
#s(approx (pow (+ 1 x) 3) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) x)) #s(literal 1 binary64))))
#s(approx (/ 45 (+ 1 x)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 45 binary64) x) #s(literal 45 binary64)) x)))
#s(approx (/ 45 (+ 1 x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 45 binary64) x) #s(literal 45 binary64)) x)) #s(literal 45 binary64)) x)))
#s(approx (/ 45 (+ 1 x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 45 binary64) x) #s(literal 45 binary64)) x)) #s(literal 45 binary64)) x)) #s(literal 45 binary64)) x)))
#s(approx (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24) (neg.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) x)))
#s(approx (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) x)))
#s(approx (* (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) -1/24) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) x)))
#s(approx (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) (neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64)) x)))
#s(approx (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) (neg.f64 (/.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 3 binary64)))) x)))
#s(approx (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) (neg.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 9 binary64) x)) (pow.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)) x)))
#s(approx (/ 3 (+ 1 x)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x)))
#s(approx (/ 3 (+ 1 x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x)) #s(literal 3 binary64)) x)))
#s(approx (/ 3 (+ 1 x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x)) #s(literal 3 binary64)) x)) #s(literal 3 binary64)) x)))
#s(approx (/ 1/2 (+ 1 x)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))
#s(approx (/ 1/2 (+ 1 x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/2 binary64)) x)))
#s(approx (/ 1/2 (+ 1 x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1/2 binary64)) x)))
#s(approx (log (+ 1 x)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 x)) (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 x)) (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 x)) (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x)) (log.f64 #s(literal -1 binary64))))
#s(approx (copysign (asinh x) x) (copysign.f64 (log.f64 (-.f64 (cosh.f64 (asinh.f64 x)) (neg.f64 x))) x))
#s(approx (asinh x) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))
#s(approx (asinh x) (-.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
#s(approx (asinh x) (-.f64 (+.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
#s(approx (asinh x) (-.f64 (+.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f64 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (fabs.f64 x) x) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) x) #s(literal -1 binary64) (fabs.f64 x)) x) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 x)))
#s(approx (sqrt (+ (* x x) 1)) (.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (* (neg x) (- (+ (* (pow x -2) 1/2) 1) (* (pow x -4) 1/8))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 x)))

eval95.0ms (3.3%)

Memory: -5.2MiB live, 140.7MiB allocated; 10ms collecting garbage
Compiler: Compiled 35 347 to 3 639 computations (89.7% saved)

prune1.4s (49.7%)

Memory

-8.5MiB live, 1 860.6MiB allocated; 128ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	590	0	590
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	590	4	594

Accuracy

100.0%

Counts

594 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	28.4%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))) x)
✓	28.1%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))))))) x)
✓	99.9%	(copysign.f64 (asinh.f64 x) x)
✓	47.7%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (+.f64 (fma.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/24 binary64))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 x x) (log1p.f64 x))) x)

Compiler

Compiled 254 to 137 computations (46.1% saved)

regimes4.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (+.f64 (fma.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/24 binary64))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 x x) (log1p.f64 x))) x)
(copysign.f64 (asinh.f64 x) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Outputs
(copysign.f64 (asinh.f64 x) x)

Calls

2 calls:

2.0ms	x
2.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
99.9%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
99.9%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes2.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs

(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (+.f64 (fma.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/24 binary64))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 x x) (log1p.f64 x))) x)

Outputs

(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (+.f64 (fma.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/24 binary64))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 x x) (log1p.f64 x))) x)

Calls

2 calls:

1.0ms	x
1.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
47.7%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
47.7%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify57.0ms (2%)

Memory

-22.5MiB live, 65.8MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	72
1	44	72
2	65	72
3	106	72
4	156	72
5	360	72
6	2788	72
7	6820	72

Stop Event

1×	node limit

Calls

Call 1

Inputs

(copysign.f64 (asinh.f64 x) x)

(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (+.f64 (fma.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/24 binary64))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 x x) (log1p.f64 x))) x)

Outputs

(copysign.f64 (asinh.f64 x) x)

(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (+.f64 (fma.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/24 binary64))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 x x) (log1p.f64 x))) x)

derivations50.0ms (1.7%)

Memory

-6.1MiB live, 41.0MiB allocated; 1ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 72 to 37 computations (48.6% saved)

preprocess22.0ms (0.8%)

Memory: 37.9MiB live, 37.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 168 to 92 computations (45.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample418.0ms (14.6%)

explain213.0ms (7.4%)

preprocess143.0ms (5%)

eval0.0ms (0%)

prune0.0ms (0%)

series7.0ms (0.2%)

rewrite162.0ms (5.7%)

eval16.0ms (0.6%)

prune29.0ms (1%)

series29.0ms (1%)

rewrite194.0ms (6.8%)

eval95.0ms (3.3%)

prune1.4s (49.7%)

regimes4.0ms (0.1%)

regimes2.0ms (0.1%)

simplify57.0ms (2%)

derivations50.0ms (1.7%)

preprocess22.0ms (0.8%)

end0.0ms (0%)

Profiling