Metrics for Rust f64::asinh

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 4 to 4 computations (0% saved)

sample443.0ms (23.5%)

Memory

-17.4MiB live, 462.0MiB allocated; 73ms collecting garbage

Samples

281.0ms

8 256×

valid

Precisions

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

ival-asinh: 99.0ms (98.6% of total)

adjust: 2.0ms (2% of total)

Bogosity

explain188.0ms (10%)

Memory

8.9MiB live, 294.0MiB allocated; 22ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
124	-	-	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
65	-	-	`(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	124	1
`sqrt.f64`	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	65	0
↳	`(*.f64 x x)`	overflow	65
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	65

Confusion

	Predicted +	Predicted -
+	189	1
-	0	66

Precision

1.0

Recall

0.9947368421052631

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	189	0	1
-	0	1	65

Precision?

0.9947368421052631

Recall?

0.9947368421052631

Freqs

test

number	freq
0	67
1	189

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

38.0ms	78×	2	valid
36.0ms	272×	0	valid
34.0ms	162×	1	valid

Compiler

Compiled 114 to 31 computations (72.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-log: 35.0ms (43.6% of total)

ival-hypot: 19.0ms (23.7% of total)

ival-mult!: 8.0ms (10% of total)

adjust: 7.0ms (8.7% of total)

ival-copysign: 6.0ms (7.5% of total)

ival-add!: 3.0ms (3.7% of total)

ival-fabs: 3.0ms (3.7% of total)

preprocess6.0ms (0.3%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	32.4%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Compiler

Compiled 24 to 18 computations (25% saved)

series6.0ms (0.3%)

Memory

14.4MiB live, 14.4MiB 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)

rewrite195.0ms (10.3%)

Memory

2.1MiB live, 236.2MiB allocated; 21ms 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))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.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)))))

eval26.0ms (1.4%)

Memory: -21.2MiB live, 33.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 180 to 626 computations (71.3% saved)

prune4.0ms (0.2%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms 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
▶	26.3%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x)
▶	29.3%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
▶	99.8%	(copysign.f64 (asinh.f64 x) x)
▶	50.0%	(copysign.f64 #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))) x)

Compiler

Compiled 75 to 49 computations (34.7% saved)

series32.0ms (1.7%)

Memory

-24.8MiB live, 22.4MiB allocated; 3ms collecting garbage

Counts

30 → 137

Calls

Call 1

Inputs
(copysign.f64 #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))) 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)))
(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))
(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 #s(literal -1/24 binary64) (.f64 x x))
#s(literal -1/24 binary64)
(*.f64 x 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)))
(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)
#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))
#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)) x))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x)))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))
(fabs.f64 x)
#s(approx (sqrt (+ (* x x) 1)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
(neg.f64 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 (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 x))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 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 (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -1/6 x))) 1/6))))))
#s(approx (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) #s(hole binary64 1/2))
#s(approx (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) #s(hole binary64 (+ 1/2 (* x (- (* 1/4 x) 1/2)))))
#s(approx (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) #s(hole binary64 (+ 1/2 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2)))))
#s(approx (* -1/24 (* x x)) #s(hole binary64 (* -1/24 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#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 (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 (/ 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) #s(hole binary64 (* -1 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 (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* -1/8 (pow x 3))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* (pow x 3) (- (* 5/8 (/ 1 (pow x 2))) 1/8))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* (pow x 3) (- (+ (* -1 (/ (log (/ 1 x)) (pow x 3))) (* 5/8 (/ 1 (pow x 2)))) (+ 1/8 (/ 3/4 (pow x 3)))))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* (pow x 3) (- (+ (* -1 (/ (log (/ 1 x)) (pow x 3))) (+ (* 5/8 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 4))))) (+ 1/8 (/ 3/4 (pow x 3)))))))
#s(approx (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) #s(hole binary64 (* -1/8 x)))
#s(approx (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) #s(hole binary64 (* x (- (* 5/8 (/ 1 (pow x 2))) 1/8))))
#s(approx (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) #s(hole binary64 (* x (- (* 5/8 (/ 1 (pow x 2))) (+ 1/8 (/ 3/4 (pow x 3)))))))
#s(approx (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) #s(hole binary64 (* x (- (+ (* 5/8 (/ 1 (pow x 2))) (* 7/8 (/ 1 (pow x 4)))) (+ 1/8 (/ 3/4 (pow x 3)))))))
#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 (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 (/ 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 (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 (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* -1 (* (pow x 3) (- 1/8 (* 5/8 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/8 (* -1 (/ (- (+ (log -1) (* -1 (log (/ -1 x)))) 3/4) (pow x 3)))) (* 5/8 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/8 (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 15/8 (/ 1 x)))) 3/4) (pow x 3)))) (* 5/8 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) #s(hole binary64 (* -1 (* x (- 1/8 (* 5/8 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) #s(hole binary64 (* -1 (* x (- (+ 1/8 (/ 3/4 (pow x 3))) (* 5/8 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) #s(hole binary64 (* -1 (* x (- (+ 1/8 (* -1 (/ (- (* 7/8 (/ 1 x)) 3/4) (pow x 3)))) (* 5/8 (/ 1 (pow x 2))))))))
#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 (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 (/ 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)))))))

Calls

3 calls:

Time	Variable		Point	Expression
22.0ms	x	@	-inf	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* -1/24 (* x x)) -1/24 (* x x) x (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) (pow (+ 1 x) -2) (+ 1 x) 1 -2 3 (/ 3 (+ 1 x)) (/ 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)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (neg x))
4.0ms	x	@	0	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* -1/24 (* x x)) -1/24 (* x x) x (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) (pow (+ 1 x) -2) (+ 1 x) 1 -2 3 (/ 3 (+ 1 x)) (/ 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)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (neg x))
4.0ms	x	@	inf	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* -1/24 (* x x)) -1/24 (* x x) x (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x))) (pow (+ 1 x) -2) (+ 1 x) 1 -2 3 (/ 3 (+ 1 x)) (/ 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)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (neg x))

Time

Variable

Point

Expression

22.0ms

-inf

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

4.0ms

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

4.0ms

inf

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

rewrite194.0ms (10.3%)

Memory

13.9MiB live, 248.5MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	652	3619
0	686	3213
1	3959	3026
0	9253	2945

Stop Event

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

Counts

167 → 262

Calls

Call 1

Inputs
(copysign.f64 #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))) 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)))
(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))
(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 #s(literal -1/24 binary64) (.f64 x x))
#s(literal -1/24 binary64)
(*.f64 x 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)))
(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)
#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))
#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)) x))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x)))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))
(fabs.f64 x)
#s(approx (sqrt (+ (* x x) 1)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
(neg.f64 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 (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 x))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 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 (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -1/6 x))) 1/6))))))
#s(approx (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) #s(hole binary64 1/2))
#s(approx (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) #s(hole binary64 (+ 1/2 (* x (- (* 1/4 x) 1/2)))))
#s(approx (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) #s(hole binary64 (+ 1/2 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2)))))
#s(approx (* -1/24 (* x x)) #s(hole binary64 (* -1/24 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#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 (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 (/ 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) #s(hole binary64 (* -1 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 (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* -1/8 (pow x 3))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* (pow x 3) (- (* 5/8 (/ 1 (pow x 2))) 1/8))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* (pow x 3) (- (+ (* -1 (/ (log (/ 1 x)) (pow x 3))) (* 5/8 (/ 1 (pow x 2)))) (+ 1/8 (/ 3/4 (pow x 3)))))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* (pow x 3) (- (+ (* -1 (/ (log (/ 1 x)) (pow x 3))) (+ (* 5/8 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 4))))) (+ 1/8 (/ 3/4 (pow x 3)))))))
#s(approx (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) #s(hole binary64 (* -1/8 x)))
#s(approx (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) #s(hole binary64 (* x (- (* 5/8 (/ 1 (pow x 2))) 1/8))))
#s(approx (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) #s(hole binary64 (* x (- (* 5/8 (/ 1 (pow x 2))) (+ 1/8 (/ 3/4 (pow x 3)))))))
#s(approx (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) #s(hole binary64 (* x (- (+ (* 5/8 (/ 1 (pow x 2))) (* 7/8 (/ 1 (pow x 4)))) (+ 1/8 (/ 3/4 (pow x 3)))))))
#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 (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 (/ 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 (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 (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* -1 (* (pow x 3) (- 1/8 (* 5/8 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/8 (* -1 (/ (- (+ (log -1) (* -1 (log (/ -1 x)))) 3/4) (pow x 3)))) (* 5/8 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/8 (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 15/8 (/ 1 x)))) 3/4) (pow x 3)))) (* 5/8 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) #s(hole binary64 (* -1 (* x (- 1/8 (* 5/8 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) #s(hole binary64 (* -1 (* x (- (+ 1/8 (/ 3/4 (pow x 3))) (* 5/8 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) #s(hole binary64 (* -1 (* x (- (+ 1/8 (* -1 (/ (- (* 7/8 (/ 1 x)) 3/4) (pow x 3)))) (* 5/8 (/ 1 (pow x 2))))))))
#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 (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 (/ 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)))))))

Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (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))) (.f64 (.f64 x x) #s(literal -1/24 binary64)) (/.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 (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 (.f64 x x) #s(literal -1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 x x) (log1p.f64 x)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (.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))) (.f64 (.f64 x x) #s(literal -1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (.f64 x x)) #s(literal 2 binary64))) (-.f64 (log1p.f64 x) (.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))) (.f64 (.f64 x x) #s(literal -1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (.f64 x x))))
(/.f64 (-.f64 (pow.f64 (.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))) (.f64 (.f64 x x) #s(literal -1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (.f64 x x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (-.f64 (.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))) (.f64 (.f64 x x) #s(literal -1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (.f64 x x)) (log1p.f64 x)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (.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))) (.f64 (.f64 x x) #s(literal -1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 x) (log1p.f64 x) (-.f64 (pow.f64 (.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))) (.f64 (.f64 x x) #s(literal -1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (.f64 x x)) #s(literal 2 binary64)) (.f64 (log1p.f64 x) (.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))) (.f64 (.f64 x x) #s(literal -1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 x x))))))
(/.f64 (fma.f64 (pow.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))) (.f64 (.f64 x x) #s(literal -1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.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))) (.f64 (.f64 x x) #s(literal -1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 (.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))) (.f64 (.f64 x x) #s(literal -1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 x x)) (log1p.f64 x)))))
(fma.f64 (.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))) (.f64 (*.f64 x x) #s(literal -1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) x) x (log1p.f64 x))
(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))) (.f64 (.f64 x x) #s(literal -1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 x x) (log1p.f64 x))
(fma.f64 (.f64 x x) (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))) (.f64 (*.f64 x x) #s(literal -1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (log1p.f64 x))
(-.f64 (log1p.f64 x) (.f64 (neg.f64 (.f64 x x)) (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))) (.f64 (.f64 x x) #s(literal -1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (.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))) (.f64 (.f64 x x) #s(literal -1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (.f64 x x)) (log1p.f64 x))
(+.f64 (log1p.f64 x) (.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))) (.f64 (.f64 x x) #s(literal -1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (.f64 x x)))
(/.f64 (-.f64 (pow.f64 (.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))) (.f64 (.f64 x x) #s(literal -1/24 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (.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))) (.f64 (.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (pow.f64 (.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))) (.f64 x x)) #s(literal 3 binary64)) #s(literal -1/13824 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.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))) (.f64 (.f64 x x) #s(literal -1/24 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.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))) (.f64 (*.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))))))
(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))) (.f64 (.f64 x x) #s(literal -1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (.f64 (.f64 x 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 1/2 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (.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))) (.f64 x x)) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1/2 binary64) (.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))) (.f64 (*.f64 x x) #s(literal -1/24 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.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))) (.f64 (*.f64 x x) #s(literal -1/24 binary64))))
(fma.f64 #s(literal -1/24 binary64) (.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))) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (.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))) (.f64 (.f64 x x) #s(literal -1/24 binary64))) (.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1/2 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))) (.f64 (*.f64 x x) #s(literal -1/24 binary64))))
(+.f64 (.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))) (.f64 (*.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 #s(literal -1/24 binary64) x) x)
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(.f64 #s(literal -1/24 binary64) (.f64 x x))
#s(literal -1/24 binary64)
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 #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))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
x
(*.f64 #s(literal 3 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))))
(/.f64 (fma.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
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(exp.f64 (.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
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(*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(*.f64 x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
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#s(approx (log (+ 1 x)) (+.f64 (log.f64 x) (pow.f64 x #s(literal -1 binary64))))
#s(approx (log (+ 1 x)) (-.f64 (+.f64 (log.f64 x) (pow.f64 x #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))))
#s(approx (log (+ 1 x)) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64) (pow.f64 x #s(literal -1 binary64))) (log.f64 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 (*.f64 x #s(literal 2 binary64))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (log.f64 x)) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 (.f64 x #s(literal 2 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 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 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 x x)) #s(literal 1 binary64)) (.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 (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 (/.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(literal -1 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/8 binary64)))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (fma.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 3/4 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 5/8 binary64)))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (/.f64 #s(literal 15/8 binary64) x)) (log.f64 #s(literal -1 binary64))) #s(literal 3/4 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 5/8 binary64)))))
#s(approx (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (.f64 (neg.f64 x) (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/8 binary64)))))
#s(approx (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/8 binary64)))))
#s(approx (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (.f64 (neg.f64 x) (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 7/8 binary64) x) #s(literal 3/4 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 5/8 binary64)))))
#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 (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 (/ 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 (asinh.f64 x) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.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 (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.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 (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.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 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)))))

eval64.0ms (3.4%)

Memory: -2.3MiB live, 130.5MiB allocated; 33ms collecting garbage
Compiler: Compiled 13 784 to 1 768 computations (87.2% saved)

prune9.0ms (0.5%)

Memory

38.9MiB live, 38.9MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	324	5	329
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	326	7	333

Accuracy

100.0%

Counts

333 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	26.3%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x)
▶	28.1%	(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
✓	99.8%	(copysign.f64 (asinh.f64 x) x)
▶	51.1%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/112 binary64) (.f64 x x) #s(literal 3/40 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) x)
▶	51.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) x)
▶	50.8%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) x)
▶	50.7%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) x)) x)

Compiler

Compiled 303 to 192 computations (36.6% saved)

series31.0ms (1.7%)

Memory

-32.0MiB live, 55.6MiB allocated; 21ms collecting garbage

Counts

31 → 125

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/112 binary64) (.f64 x x) #s(literal 3/40 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/112 binary64) (.f64 x x) #s(literal 3/40 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/112 binary64) (.f64 x x) #s(literal 3/40 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/112 binary64) (.f64 x x) #s(literal 3/40 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 (fma.f64 #s(literal -5/112 binary64) (.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64))
(.f64 (fma.f64 #s(literal -5/112 binary64) (.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x))
(fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64))
#s(literal -5/112 binary64)
(*.f64 x x)
x
#s(literal 3/40 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) x))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(.f64 #s(literal 3/40 binary64) (.f64 x x))
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)
#s(approx (sqrt (+ (* x x) 1)) 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 (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* 3/40 (pow x 2))))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 3/40))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (+ 3/40 (* -5/112 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 x))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 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 (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -1/6 x))) 1/6))))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (* 3/40 (* x x)) #s(hole binary64 (* 3/40 (pow x 2))))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary64 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 1))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (+ 1 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#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 (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 (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -5/112 (pow x 7))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* -5/112 (pow x 6))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (* -5/112 (pow x 4))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* -5/112 (pow x 4))))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (* -5/112 (pow x 2))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* -1/8 (pow x 3))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* (pow x 3) (- (* 5/8 (/ 1 (pow x 2))) 1/8))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* (pow x 3) (- (+ (* -1 (/ (log (/ 1 x)) (pow x 3))) (* 5/8 (/ 1 (pow x 2)))) (+ 1/8 (/ 3/4 (pow x 3)))))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* (pow x 3) (- (+ (* -1 (/ (log (/ 1 x)) (pow x 3))) (+ (* 5/8 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 4))))) (+ 1/8 (/ 3/4 (pow x 3)))))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* 3/40 (pow x 5))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* 3/40 (pow x 4))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 (* 3/40 (pow x 2))))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole 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 (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole 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 (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 (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* -1 (* (pow x 3) (- 1/8 (* 5/8 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/8 (* -1 (/ (- (+ (log -1) (* -1 (log (/ -1 x)))) 3/4) (pow x 3)))) (* 5/8 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/8 (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 15/8 (/ 1 x)))) 3/4) (pow x 3)))) (* 5/8 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary64 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole 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 (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (/ -1/2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole 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
13.0ms	x	@	0	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (+ (* -5/112 (* x x)) 3/40) -5/112 (* x x) x 3/40 1/6 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (- (* 3/40 (* x x)) 1/6) (* 3/40 (* x x)) (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)))
4.0ms	x	@	inf	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (+ (* -5/112 (* x x)) 3/40) -5/112 (* x x) x 3/40 1/6 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (- (* 3/40 (* x x)) 1/6) (* 3/40 (* x x)) (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)))
4.0ms	x	@	-inf	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (+ (* -5/112 (* x x)) 3/40) -5/112 (* x x) x 3/40 1/6 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (- (* 3/40 (* x x)) 1/6) (* 3/40 (* x x)) (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)))

Time

Variable

Point

Expression

13.0ms

((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (+ (* -5/112 (* x x)) 3/40) -5/112 (* x x) x 3/40 1/6 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (- (* 3/40 (* x x)) 1/6) (* 3/40 (* x x)) (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)))

4.0ms

inf

((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (+ (* -5/112 (* x x)) 3/40) -5/112 (* x x) x 3/40 1/6 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (- (* 3/40 (* x x)) 1/6) (* 3/40 (* x x)) (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)))

4.0ms

-inf

((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (+ (* -5/112 (* x x)) 3/40) -5/112 (* x x) x 3/40 1/6 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (- (* 3/40 (* x x)) 1/6) (* 3/40 (* x x)) (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)))

rewrite181.0ms (9.6%)

Memory

-8.5MiB live, 241.3MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	499	3868
0	534	3452
1	2683	3223
0	8604	3100

Stop Event

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

Counts

156 → 268

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/112 binary64) (.f64 x x) #s(literal 3/40 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/112 binary64) (.f64 x x) #s(literal 3/40 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/112 binary64) (.f64 x x) #s(literal 3/40 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/112 binary64) (.f64 x x) #s(literal 3/40 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 (fma.f64 #s(literal -5/112 binary64) (.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64))
(.f64 (fma.f64 #s(literal -5/112 binary64) (.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x))
(fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64))
#s(literal -5/112 binary64)
(*.f64 x x)
x
#s(literal 3/40 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) x))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(.f64 #s(literal 3/40 binary64) (.f64 x x))
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)
#s(approx (sqrt (+ (* x x) 1)) 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 (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* 3/40 (pow x 2))))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 3/40))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (+ 3/40 (* -5/112 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 x))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 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 (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -1/6 x))) 1/6))))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (* 3/40 (* x x)) #s(hole binary64 (* 3/40 (pow x 2))))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary64 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 1))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (+ 1 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#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 (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 (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -5/112 (pow x 7))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* -5/112 (pow x 6))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (* -5/112 (pow x 4))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* -5/112 (pow x 4))))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (* -5/112 (pow x 2))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* -1/8 (pow x 3))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* (pow x 3) (- (* 5/8 (/ 1 (pow x 2))) 1/8))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* (pow x 3) (- (+ (* -1 (/ (log (/ 1 x)) (pow x 3))) (* 5/8 (/ 1 (pow x 2)))) (+ 1/8 (/ 3/4 (pow x 3)))))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* (pow x 3) (- (+ (* -1 (/ (log (/ 1 x)) (pow x 3))) (+ (* 5/8 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 4))))) (+ 1/8 (/ 3/4 (pow x 3)))))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* 3/40 (pow x 5))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* 3/40 (pow x 4))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 (* 3/40 (pow x 2))))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole 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 (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole 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 (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 (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* -1 (* (pow x 3) (- 1/8 (* 5/8 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/8 (* -1 (/ (- (+ (log -1) (* -1 (log (/ -1 x)))) 3/4) (pow x 3)))) (* 5/8 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/8 (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 15/8 (/ 1 x)))) 3/4) (pow x 3)))) (* 5/8 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary64 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole 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 (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (/ -1/2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole 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 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) x)
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(+.f64 x (.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64)) (.f64 x x)) x))
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#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 5/8 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (fma.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 3/4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1/8 binary64)) (.f64 #s(literal 5/8 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (/.f64 #s(literal 15/8 binary64) x)) (log.f64 #s(literal -1 binary64))) #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1/8 binary64)) (.f64 #s(literal 5/8 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 3/40 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 3/40 binary64)) (pow.f64 x #s(literal -4 binary64))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f64 (asinh.f64 x) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) 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 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) 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 #s(literal 5/96 binary64) (pow.f64 x #s(literal -6 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal -6 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)))) x)))
#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 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 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 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))

eval49.0ms (2.6%)

Memory: 7.1MiB live, 100.2MiB allocated; 8ms collecting garbage
Compiler: Compiled 13 086 to 1 861 computations (85.8% saved)

prune19.0ms (1%)

Memory

40.7MiB live, 40.7MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	373	1	374
Fresh	0	0	0
Picked	0	5	5
Done	0	2	2
Total	373	8	381

Accuracy

100.0%

Counts

381 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	26.3%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x)
✓	28.1%	(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
✓	99.8%	(copysign.f64 (asinh.f64 x) x)
▶	51.1%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 x (.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64)) (.f64 x x)) x))) x)
✓	51.1%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/112 binary64) (.f64 x x) #s(literal 3/40 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) x)
✓	51.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) x)
✓	50.8%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) x)
✓	50.7%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) x)) x)

Compiler

Compiled 194 to 124 computations (36.1% saved)

series7.0ms (0.4%)

Memory

-33.4MiB live, 14.0MiB allocated; 3ms collecting garbage

Counts

14 → 59

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 x (.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64)) (.f64 x x)) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 x (.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64)) (.f64 x x)) x)))
(+.f64 x (.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64)) (.f64 x x)) x))
x
(.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64)) (.f64 x x)) x)
(.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x))
(-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))
(*.f64 x x)
#s(literal -5/112 binary64)
#s(literal 3/40 binary64)
#s(literal 1/6 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 (+ x (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x)) #s(hole binary64 x))
#s(approx (+ x (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x)) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ x (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (+ x (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x) #s(hole binary64 (* (pow x 3) (- (* 3/40 (pow x 2)) 1/6))))
#s(approx (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x) #s(hole binary64 (* (pow x 3) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
#s(approx (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
#s(approx (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
#s(approx (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) #s(hole binary64 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) #s(hole binary64 (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))
#s(approx (* (* (+ (* (* x x) -5/112) 3/40) x) x) #s(hole binary64 (* 3/40 (pow x 2))))
#s(approx (* (* (+ (* (* x x) -5/112) 3/40) x) x) #s(hole binary64 (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))))
#s(approx (* (+ (* (* x x) -5/112) 3/40) x) #s(hole binary64 (* 3/40 x)))
#s(approx (* (+ (* (* x x) -5/112) 3/40) x) #s(hole binary64 (* x (+ 3/40 (* -5/112 (pow x 2))))))
#s(approx (+ (* (* x x) -5/112) 3/40) #s(hole binary64 3/40))
#s(approx (+ (* (* x x) -5/112) 3/40) #s(hole binary64 (+ 3/40 (* -5/112 (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 (+ x (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x)) #s(hole binary64 (* -5/112 (pow x 7))))
#s(approx (+ x (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x)) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ x (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x)) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ x (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x)) #s(hole binary64 (* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x) #s(hole binary64 (* -5/112 (pow x 7))))
#s(approx (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) #s(hole binary64 (* -5/112 (pow x 6))))
#s(approx (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) #s(hole binary64 (* -5/112 (pow x 4))))
#s(approx (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (* (+ (* (* x x) -5/112) 3/40) x) x) #s(hole binary64 (* -5/112 (pow x 4))))
#s(approx (* (* (+ (* (* x x) -5/112) 3/40) x) x) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (* (+ (* (* x x) -5/112) 3/40) x) #s(hole binary64 (* -5/112 (pow x 3))))
#s(approx (* (+ (* (* x x) -5/112) 3/40) x) #s(hole binary64 (* (pow x 3) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* (* x x) -5/112) 3/40) #s(hole binary64 (* -5/112 (pow x 2))))
#s(approx (+ (* (* x x) -5/112) 3/40) #s(hole binary64 (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#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 (+ x (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x)) #s(hole binary64 (* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (+ x (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x)) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (+ x (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x)) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* x x) -5/112) 3/40) x) #s(hole binary64 (* -1 (* (pow x 3) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ x (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x)) x (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x) (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* (* (+ (* (* x x) -5/112) 3/40) x) x) (* (+ (* (* x x) -5/112) 3/40) x) (+ (* (* x x) -5/112) 3/40) (* x x) -5/112 3/40 1/6)
2.0ms	x	@	inf	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ x (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x)) x (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x) (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* (* (+ (* (* x x) -5/112) 3/40) x) x) (* (+ (* (* x x) -5/112) 3/40) x) (+ (* (* x x) -5/112) 3/40) (* x x) -5/112 3/40 1/6)
2.0ms	x	@	-inf	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ x (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x)) x (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x) (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* (* (+ (* (* x x) -5/112) 3/40) x) x) (* (+ (* (* x x) -5/112) 3/40) x) (+ (* (* x x) -5/112) 3/40) (* x x) -5/112 3/40 1/6)

Time

Variable

Point

Expression

3.0ms

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

2.0ms

inf

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

2.0ms

-inf

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

rewrite185.0ms (9.8%)

Memory

-2.8MiB live, 240.0MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	240	1840
0	256	1649
1	1208	1529
0	8473	1486

Stop Event

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

Counts

73 → 215

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 x (.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64)) (.f64 x x)) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 x (.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64)) (.f64 x x)) x)))
(+.f64 x (.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64)) (.f64 x x)) x))
x
(.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64)) (.f64 x x)) x)
(.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x))
(-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))
(*.f64 x x)
#s(literal -5/112 binary64)
#s(literal 3/40 binary64)
#s(literal 1/6 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 (+ x (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x)) #s(hole binary64 x))
#s(approx (+ x (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x)) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ x (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (+ x (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x) #s(hole binary64 (* (pow x 3) (- (* 3/40 (pow x 2)) 1/6))))
#s(approx (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x) #s(hole binary64 (* (pow x 3) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
#s(approx (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
#s(approx (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
#s(approx (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) #s(hole binary64 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) #s(hole binary64 (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))
#s(approx (* (* (+ (* (* x x) -5/112) 3/40) x) x) #s(hole binary64 (* 3/40 (pow x 2))))
#s(approx (* (* (+ (* (* x x) -5/112) 3/40) x) x) #s(hole binary64 (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))))
#s(approx (* (+ (* (* x x) -5/112) 3/40) x) #s(hole binary64 (* 3/40 x)))
#s(approx (* (+ (* (* x x) -5/112) 3/40) x) #s(hole binary64 (* x (+ 3/40 (* -5/112 (pow x 2))))))
#s(approx (+ (* (* x x) -5/112) 3/40) #s(hole binary64 3/40))
#s(approx (+ (* (* x x) -5/112) 3/40) #s(hole binary64 (+ 3/40 (* -5/112 (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 (+ x (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x)) #s(hole binary64 (* -5/112 (pow x 7))))
#s(approx (+ x (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x)) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ x (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x)) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ x (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x)) #s(hole binary64 (* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x) #s(hole binary64 (* -5/112 (pow x 7))))
#s(approx (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) #s(hole binary64 (* -5/112 (pow x 6))))
#s(approx (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) #s(hole binary64 (* -5/112 (pow x 4))))
#s(approx (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (* (+ (* (* x x) -5/112) 3/40) x) x) #s(hole binary64 (* -5/112 (pow x 4))))
#s(approx (* (* (+ (* (* x x) -5/112) 3/40) x) x) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (* (+ (* (* x x) -5/112) 3/40) x) #s(hole binary64 (* -5/112 (pow x 3))))
#s(approx (* (+ (* (* x x) -5/112) 3/40) x) #s(hole binary64 (* (pow x 3) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* (* x x) -5/112) 3/40) #s(hole binary64 (* -5/112 (pow x 2))))
#s(approx (+ (* (* x x) -5/112) 3/40) #s(hole binary64 (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#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 (+ x (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x)) #s(hole binary64 (* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (+ x (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x)) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (+ x (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x)) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* x x) -5/112) 3/40) x) #s(hole binary64 (* -1 (* (pow x 3) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))))

Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64)) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64)) x))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64))) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64)))) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (.f64 x (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (.f64 (.f64 x #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64))) x))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64))))))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64)))))
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#s(approx (+ (* (* x x) -5/112) 3/40) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64)) #s(literal 5/112 binary64)) (*.f64 x 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)))) (neg.f64 (+.f64 (/.f64 x x) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x) #s(literal -1/2 binary64) x) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 x (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) x) #s(literal -1/6 binary64))) x)) x)))
#s(approx (+ x (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x)) (.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 #s(literal 5/112 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64)))))
#s(approx (+ x (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x)) (.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 5/112 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64)))))
#s(approx (+ x (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x)) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 5/112 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64) (pow.f64 x #s(literal -6 binary64))))))
#s(approx (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x) (.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 #s(literal 5/112 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64)))))
#s(approx (* (* (- (* (* (+ (* (* x x) -5/112) 3/40) x) x) 1/6) (* x x)) x) (.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 5/112 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64)))))
#s(approx (* (+ (* (* x x) -5/112) 3/40) x) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 5/112 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64)))))

eval34.0ms (1.8%)

Memory: 22.8MiB live, 69.2MiB allocated; 4ms collecting garbage
Compiler: Compiled 10 258 to 1 651 computations (83.9% saved)

prune11.0ms (0.6%)

Memory

-26.4MiB live, 20.9MiB allocated; 1ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	251	1	252
Fresh	0	0	0
Picked	1	0	1
Done	1	6	7
Total	253	7	260

Accuracy

100.0%

Counts

260 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	26.3%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x)
✓	28.1%	(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
✓	99.8%	(copysign.f64 (asinh.f64 x) x)
	51.1%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64)) x) x) x x)) x)
✓	51.0%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) x)
✓	50.8%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) x)
✓	50.7%	(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) x)) x)

Compiler

Compiled 455 to 203 computations (55.4% saved)

regimes8.0ms (0.4%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Counts

12 → 1

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) x)) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/112 binary64) (.f64 x x) #s(literal 3/40 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64)) x) x) x x)) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 x (.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64)) (.f64 x x)) x))) x)
(copysign.f64 (asinh.f64 x) x)
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 #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))) x)

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

Calls

2 calls:

4.0ms	x
3.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
99.8%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
99.8%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes5.0ms (0.2%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) x)) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/112 binary64) (.f64 x x) #s(literal 3/40 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64)) x) x) x x)) x)
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 x (.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) x) x) #s(literal 1/6 binary64)) (.f64 x x)) x))) x)

Outputs

(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) 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
51.1%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
51.1%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes3.0ms (0.2%)

Memory

7.3MiB live, 7.4MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) x)) x)

(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) x)

(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) x)

Outputs

(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) 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
51.0%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
51.0%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes4.0ms (0.2%)

Memory

-39.7MiB live, 7.4MiB allocated; 2ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) x)) x)

(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) x)

Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) 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
50.8%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
50.8%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes2.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB 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)))) #s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) x)) x)

Outputs
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (+ (* (* -1/24 (* x x)) (+ (* (pow (+ 1 x) -2) 3) (/ 3 (+ 1 x)))) (/ 1/2 (+ 1 x))) (* x x)) (log (+ 1 x))) 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
50.7%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
50.7%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

derivations145.0ms (7.7%)

Memory

-3.6MiB live, 140.6MiB allocated; 11ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 133 to 52 computations (60.9% saved)

preprocess36.0ms (1.9%)

Memory: 20.7MiB live, 67.2MiB allocated; 3ms collecting garbage
Compiler: Compiled 330 to 142 computations (57% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample443.0ms (23.5%)

explain188.0ms (10%)

preprocess6.0ms (0.3%)

series6.0ms (0.3%)

rewrite195.0ms (10.3%)

eval26.0ms (1.4%)

prune4.0ms (0.2%)

series32.0ms (1.7%)

rewrite194.0ms (10.3%)

eval64.0ms (3.4%)

prune9.0ms (0.5%)

series31.0ms (1.7%)

rewrite181.0ms (9.6%)

eval49.0ms (2.6%)

prune19.0ms (1%)

series7.0ms (0.4%)

rewrite185.0ms (9.8%)

eval34.0ms (1.8%)

prune11.0ms (0.6%)

regimes8.0ms (0.4%)

regimes5.0ms (0.2%)

regimes3.0ms (0.2%)

regimes4.0ms (0.2%)

regimes2.0ms (0.1%)

derivations145.0ms (7.7%)

preprocess36.0ms (1.9%)

end0.0ms (0%)

Profiling