Metrics for Hyperbolic arcsine

start0.0ms (0%)

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

analyze87.0ms (2.3%)

Memory

8.8MiB live, 104.4MiB allocated; 20ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
62.5%	62.5%	37.5%	0%	0%	0%	0%	5
68.8%	68.7%	31.2%	0%	0%	0%	0%	6
71.9%	71.8%	28.1%	0%	0%	0%	0%	7
73.4%	73.4%	26.5%	0%	0%	0%	0%	8
74.2%	74.2%	25.8%	0%	0%	0%	0%	9
74.6%	74.6%	25.4%	0%	0%	0%	0%	10
74.8%	74.8%	25.2%	0%	0%	0%	0%	11
74.9%	74.9%	25.1%	0%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample2.5s (66.7%)

Memory

42.2MiB live, 2 718.2MiB allocated; 236ms collecting garbage

Samples

1.0s	1 630×	2	valid
967.0ms	4 450×	1	valid
123.0ms	2 176×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-log: 990.0ms (54% of total)

ival-hypot: 544.0ms (29.7% of total)

adjust: 201.0ms (11% of total)

ival-add: 86.0ms (4.7% of total)

exact: 8.0ms (0.4% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain239.0ms (6.4%)

Memory

13.0MiB live, 165.6MiB allocated; 77ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`	sensitivity	125	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	68	0
↳	`(*.f64 x x)`	overflow	68
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	68
`+.f64`	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`	cancellation	61	0

Confusion

	Predicted +	Predicted -
+	222	0
-	0	34

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	222	0	0
-	0	0	34

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	34
1	190
2	32

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

102.0ms	284×	1	valid
46.0ms	84×	2	valid
14.0ms	144×	0	valid

Compiler

Compiled 79 to 25 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-log: 81.0ms (59.6% of total)

ival-hypot: 24.0ms (17.7% of total)

adjust: 15.0ms (11% of total)

ival-add: 9.0ms (6.6% of total)

ival-mult: 6.0ms (4.4% of total)

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

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

exact: 0.0ms (0% of total)

preprocess208.0ms (5.6%)

Memory

19.1MiB live, 112.1MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	31	30
2	59	30
3	83	30
4	142	30
5	348	30
6	2396	30
7	5930	30
0	7	9
0	12	9
1	20	9
2	42	9
3	82	9
4	141	9
5	347	9
6	2402	9
7	5903	9
0	8142	8

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	17.8%	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

series35.0ms (0.9%)

Memory

-40.7MiB live, 4.3MiB allocated; 5ms collecting garbage

Counts

7 → 42

Calls

Call 1

Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
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 (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 1))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#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 (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #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 (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* 2 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #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 (+ (* 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 (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #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 (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (/ -1/2 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #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
31.0ms	x	@	-inf	((log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) x (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1)
2.0ms	x	@	inf	((log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) x (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1)
2.0ms	x	@	0	((log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) x (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1)

Time

Variable

Point

Expression

31.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

rewrite206.0ms (5.5%)

Memory

42.3MiB live, 130.5MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	177	899
0	185	657
1	1011	644
0	8277	608

Stop Event

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

Counts

49 → 137

Calls

Call 1

Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
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 (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 1))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#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 (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #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 (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* 2 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #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 (+ (* 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 (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #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 (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (/ -1/2 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #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
(asinh.f64 x)
(-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64)) x) (-.f64 x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (log.f64 (-.f64 x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (log.f64 (fma.f64 (.f64 x x) x (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (log.f64 (fma.f64 (.f64 (.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
(log.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 x x) (-.f64 (.f64 x x) (*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64)) x) (-.f64 x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (neg.f64 (-.f64 x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64)) x) (-.f64 x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (-.f64 x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
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eval28.0ms (0.7%)

Memory: -23.8MiB live, 21.3MiB allocated; 10ms collecting garbage
Compiler: Compiled 2 629 to 644 computations (75.5% saved)

prune14.0ms (0.4%)

Memory

17.1MiB live, 17.1MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	137	3	140
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	138	3	141

Accuracy

100.0%

Counts

141 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.2%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
▶	24.0%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (fma.f64 (.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64))) (*.f64 #s(literal -1 binary64) x))))
▶	99.8%	(asinh.f64 x)

Status

Accuracy

Program

▶

28.2%

(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))

▶

24.0%

(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64))) (*.f64 #s(literal -1 binary64) x))))

▶

99.8%

(asinh.f64 x)

Compiler

Compiled 60 to 37 computations (38.3% saved)

series10.0ms (0.3%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Counts

22 → 80

Calls

Call 1

Inputs
(asinh.f64 x)
x
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (fma.f64 (.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64))) (*.f64 #s(literal -1 binary64) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (fma.f64 (.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64))) (*.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (fma.f64 (.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64))) (*.f64 #s(literal -1 binary64) x))
(-.f64 (fma.f64 (.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64)))
(fma.f64 (.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(*.f64 x x)
#s(literal -1 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
(.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(*.f64 #s(literal -1 binary64) x)
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
#s(approx (sqrt (+ (* x x) 1)) (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
#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 x #s(hole binary64 x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 1))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#s(approx (/ (- (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) (* (pow (* x x) -1) 1/8)) (* -1 x)) #s(hole binary64 (/ -1/16 (pow x 5))))
#s(approx (/ (- (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) (* (pow (* x x) -1) 1/8)) (* -1 x)) #s(hole binary64 (/ (- (* 1/8 (pow x 2)) 1/16) (pow x 5))))
#s(approx (/ (- (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) (* (pow (* x x) -1) 1/8)) (* -1 x)) #s(hole binary64 (/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 5))))
#s(approx (- (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) (* (pow (* x x) -1) 1/8)) #s(hole binary64 (/ 1/16 (pow x 4))))
#s(approx (- (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) (* (pow (* x x) -1) 1/8)) #s(hole binary64 (/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 4))))
#s(approx (- (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) (* (pow (* x x) -1) 1/8)) #s(hole binary64 (/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 4))))
#s(approx (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) #s(hole binary64 (/ 1/16 (pow x 4))))
#s(approx (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) #s(hole binary64 (/ (+ 1/16 (* 1/2 (pow x 4))) (pow x 4))))
#s(approx (* (pow (* x x) -1) 1/4) #s(hole binary64 (/ 1/4 (pow x 2))))
#s(approx (pow (* x x) -1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (pow (* x x) -1) 1/8) #s(hole binary64 (/ 1/8 (pow x 2))))
#s(approx (* -1 x) #s(hole binary64 (* -1 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 (* (+ (* (pow (* x x) -1) 1/2) 1) x) #s(hole binary64 (/ 1/2 x)))
#s(approx (* (+ (* (pow (* x x) -1) 1/2) 1) x) #s(hole binary64 (/ (+ 1/2 (pow x 2)) x)))
#s(approx (+ (* (pow (* x x) -1) 1/2) 1) #s(hole binary64 (/ 1/2 (pow x 2))))
#s(approx (+ (* (pow (* x x) -1) 1/2) 1) #s(hole binary64 (/ (+ 1/2 (pow x 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 (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #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 (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* 2 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (/ (- (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) (* (pow (* x x) -1) 1/8)) (* -1 x)) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ (- (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) (* (pow (* x x) -1) 1/8)) (* -1 x)) #s(hole binary64 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)))
#s(approx (/ (- (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) (* (pow (* x x) -1) 1/8)) (* -1 x)) #s(hole binary64 (/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)))
#s(approx (- (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) (* (pow (* x x) -1) 1/8)) #s(hole binary64 1/2))
#s(approx (- (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) (* (pow (* x x) -1) 1/8)) #s(hole binary64 (- 1/2 (* 1/8 (/ 1 (pow x 2))))))
#s(approx (- (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) (* (pow (* x x) -1) 1/8)) #s(hole binary64 (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2))))))
#s(approx (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) #s(hole binary64 (+ 1/2 (* 1/16 (/ 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 (* (+ (* (pow (* x x) -1) 1/2) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (pow (* x x) -1) 1/2) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow (* x x) -1) 1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (pow (* x x) -1) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (/ 1 (pow x 2))))))
#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 (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #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 (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (/ -1/2 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #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 (/ (- (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) (* (pow (* x x) -1) 1/8)) (* -1 x)) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (/ (- (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) (* (pow (* x x) -1) 1/8)) (* -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)) #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
4.0ms	x	@	0	((asinh x) x (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ (- (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) (* (pow (* x x) -1) 1/8)) (* -1 x)) (- (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) (* (pow (* x x) -1) 1/8)) (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) (* (pow (* x x) -1) 1/4) (pow (* x x) -1) (* x x) -1 1/4 1/2 (* (pow (* x x) -1) 1/8) 1/8 (* -1 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (* (+ (* (pow (* x x) -1) 1/2) 1) x) (+ (* (pow (* x x) -1) 1/2) 1) 1)
3.0ms	x	@	inf	((asinh x) x (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ (- (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) (* (pow (* x x) -1) 1/8)) (* -1 x)) (- (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) (* (pow (* x x) -1) 1/8)) (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) (* (pow (* x x) -1) 1/4) (pow (* x x) -1) (* x x) -1 1/4 1/2 (* (pow (* x x) -1) 1/8) 1/8 (* -1 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (* (+ (* (pow (* x x) -1) 1/2) 1) x) (+ (* (pow (* x x) -1) 1/2) 1) 1)
2.0ms	x	@	-inf	((asinh x) x (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ (- (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) (* (pow (* x x) -1) 1/8)) (* -1 x)) (- (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) (* (pow (* x x) -1) 1/8)) (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) (* (pow (* x x) -1) 1/4) (pow (* x x) -1) (* x x) -1 1/4 1/2 (* (pow (* x x) -1) 1/8) 1/8 (* -1 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (* (+ (* (pow (* x x) -1) 1/2) 1) x) (+ (* (pow (* x x) -1) 1/2) 1) 1)

Time

Variable

Point

Expression

4.0ms

((asinh x) x (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ (- (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) (* (pow (* x x) -1) 1/8)) (* -1 x)) (- (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) (* (pow (* x x) -1) 1/8)) (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) (* (pow (* x x) -1) 1/4) (pow (* x x) -1) (* x x) -1 1/4 1/2 (* (pow (* x x) -1) 1/8) 1/8 (* -1 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (* (+ (* (pow (* x x) -1) 1/2) 1) x) (+ (* (pow (* x x) -1) 1/2) 1) 1)

3.0ms

inf

((asinh x) x (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ (- (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) (* (pow (* x x) -1) 1/8)) (* -1 x)) (- (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) (* (pow (* x x) -1) 1/8)) (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) (* (pow (* x x) -1) 1/4) (pow (* x x) -1) (* x x) -1 1/4 1/2 (* (pow (* x x) -1) 1/8) 1/8 (* -1 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (* (+ (* (pow (* x x) -1) 1/2) 1) x) (+ (* (pow (* x x) -1) 1/2) 1) 1)

2.0ms

-inf

((asinh x) x (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ (- (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) (* (pow (* x x) -1) 1/8)) (* -1 x)) (- (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) (* (pow (* x x) -1) 1/8)) (+ (* (* (pow (* x x) -1) 1/4) (* (pow (* x x) -1) 1/4)) 1/2) (* (pow (* x x) -1) 1/4) (pow (* x x) -1) (* x x) -1 1/4 1/2 (* (pow (* x x) -1) 1/8) 1/8 (* -1 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (* (+ (* (pow (* x x) -1) 1/2) 1) x) (+ (* (pow (* x x) -1) 1/2) 1) 1)

rewrite178.0ms (4.8%)

Memory

-8.2MiB live, 141.6MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	269	2106
0	292	1564
1	1406	1488
0	8350	1428

Stop Event

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

Counts

102 → 280

Calls

Call 1

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

eval46.0ms (1.2%)

Memory: -0.5MiB live, 45.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 16 161 to 2 182 computations (86.5% saved)

prune106.0ms (2.9%)

Memory

8.6MiB live, 54.5MiB allocated; 6ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	417	0	417
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	417	3	420

Accuracy

100.0%

Counts

420 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	28.2%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
✓	24.0%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (fma.f64 (.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64))) (*.f64 #s(literal -1 binary64) x))))
✓	99.8%	(asinh.f64 x)

Status

Accuracy

Program

✓

28.2%

(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))

✓

24.0%

(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64))) (*.f64 #s(literal -1 binary64) x))))

✓

99.8%

(asinh.f64 x)

Compiler

Compiled 129 to 68 computations (47.3% saved)

regimes5.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

Accuracy

Total -63.9b remaining (-58414.3%)

Threshold costs -63.9b (-58414.3%)

Counts

4 → 1

Calls

Call 1

Inputs
(asinh.f64 x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (fma.f64 (.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64))) (*.f64 #s(literal -1 binary64) x))))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Outputs
(asinh.f64 x)

Calls

3 calls:

2.0ms	x
1.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
1.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))

Results

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify39.0ms (1%)

Memory

-48.8MiB live, 7.5MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2

Stop Event

1×

saturated

Calls

Call 1

Inputs
(asinh.f64 x)

Outputs
(asinh.f64 x)

derivations23.0ms (0.6%)

Memory

19.9MiB live, 19.9MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 2 to 2 computations (0% saved)

preprocess10.0ms (0.3%)

Memory: 12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 22 to 18 computations (18.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze87.0ms (2.3%)

sample2.5s (66.7%)

explain239.0ms (6.4%)

preprocess208.0ms (5.6%)

eval0.0ms (0%)

prune0.0ms (0%)

series35.0ms (0.9%)

rewrite206.0ms (5.5%)

eval28.0ms (0.7%)

prune14.0ms (0.4%)

series10.0ms (0.3%)

rewrite178.0ms (4.8%)

eval46.0ms (1.2%)

prune106.0ms (2.9%)

regimes5.0ms (0.1%)

simplify39.0ms (1%)

derivations23.0ms (0.6%)

preprocess10.0ms (0.3%)

end0.0ms (0%)

Profiling