Metrics for Hyperbolic arcsine

start0.0ms (0%)

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

analyze110.0ms (2.6%)

Memory

-35.7MiB live, 54.8MiB allocated; 19ms 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)

sample2.4s (55.4%)

Memory

11.2MiB live, 1 825.2MiB allocated; 408ms collecting garbage

Samples

975.0ms	1 630×	2	valid
873.0ms	4 450×	1	valid
176.0ms	2 176×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-log: 805.0ms (47.2% of total)

ival-hypot: 607.0ms (35.6% of total)

adjust: 183.0ms (10.7% of total)

ival-add: 101.0ms (5.9% of total)

exact: 7.0ms (0.4% of total)

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

Bogosity

explain230.0ms (5.4%)

Memory

31.0MiB live, 321.2MiB allocated; 13ms 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

97.0ms	284×	1	valid
39.0ms	84×	2	valid
11.0ms	144×	0	valid

Compiler

Compiled 79 to 25 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-log: 49.0ms (48.6% of total)

ival-hypot: 22.0ms (21.8% of total)

adjust: 13.0ms (12.9% of total)

ival-add: 11.0ms (10.9% of total)

ival-mult: 5.0ms (5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess215.0ms (5%)

Memory

11.1MiB live, 184.0MiB allocated; 20ms 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	9

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 (-.f64 (*.f64 x x) #s(literal -1 binary64))) x))

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

series6.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated; 0ms 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
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	@	-inf	((log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) x (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1)
1.0ms	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

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

-inf

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

1.0ms

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

rewrite196.0ms (4.6%)

Memory

11.7MiB live, 194.9MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Counts

49 → 124

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 x x) (-.f64 (.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 (+.f64 (.f64 x x) (-.f64 (-.f64 (.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 (-.f64 (.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 (-.f64 (.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) (-.f64 (.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 (+.f64 (.f64 x x) (-.f64 (-.f64 (.f64 x x) #s(literal -1 binary64)) (*.f64 x (cosh.f64 (asinh.f64 x)))))))
(/.f64 (-.f64 (.f64 x x) (-.f64 (.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))) (+.f64 (.f64 x x) (-.f64 (-.f64 (.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 (-.f64 (.f64 x x) #s(literal -1 binary64)) (-.f64 x (cosh.f64 (asinh.f64 x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 x x) (-.f64 (-.f64 (.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)) (+.f64 (.f64 x x) (-.f64 (-.f64 (.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
(.f64 (pow.f64 (-.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 1 binary64))
(pow.f64 (-.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt-product.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt-product.f64 #s(literal 1 binary64) x))
(/.f64 (sqrt-product.f64 (*.f64 x x) #s(literal 1 binary64)) (sqrt-product.f64 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 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 x x)))))
(/.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 (-.f64 (*.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 (fabs.f64 x)))
(cosh.f64 (asinh.f64 x))
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal -1 binary64)))
(exp.f64 (.f64 (log1m.f64 (.f64 (neg.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 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (.f64 x x))
(.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (cosh.f64 (asinh.f64 x)) (cosh.f64 (asinh.f64 x)))
(pow.f64 (.f64 (-.f64 (.f64 x x) #s(literal -1 binary64)) (-.f64 (*.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 (-.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.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 x x))))
(/.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 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 x x)))))
(/.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 x x))))
(sqrt.f64 (.f64 (-.f64 (.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) #s(literal -1 binary64))))
(-.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))))
(-.f64 (ratio-square-sum.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) #s(literal 1 binary64))))
(-.f64 (.f64 x x) (.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))
(-.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (*.f64 x x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(+.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 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 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 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (.f64 (.f64 x x) #s(literal -1 binary64)))
(neg.f64 (.f64 #s(literal -1 binary64) (.f64 x x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(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 (log (+ x (sqrt (+ (* x x) 1)))) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (-.f64 (.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 (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (-.f64 (.f64 (-.f64 (.f64 (+.f64 (.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 x #s(literal -1 binary64)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.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 x x)
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* x x) 1)) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) (-.f64 (.f64 (-.f64 (.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)) (-.f64 (.f64 (-.f64 (.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) (-.f64 (*.f64 x x) #s(literal -1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (log.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (-.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (.f64 (+.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (.f64 (-.f64 (+.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (.f64 (-.f64 (-.f64 (+.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal -6 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (sqrt (+ (* x x) 1)) (.f64 (-.f64 (.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 (-.f64 (.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)))) x))
#s(approx (sqrt (+ (* x x) 1)) (.f64 (-.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal -6 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (+ (* x x) 1) (*.f64 x x))
#s(approx (+ (* x x) 1) (-.f64 (*.f64 x x) #s(literal -1 binary64)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))
#s(approx (log (+ 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 (+ 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 (+ x (sqrt (+ (* x x) 1)))) (-.f64 (-.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))) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.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))) (neg.f64 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.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))) (.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal -6 binary64)))) (neg.f64 x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
#s(approx (sqrt (+ (* x x) 1)) (.f64 (neg.f64 x) (-.f64 (.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 (-.f64 (.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 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal -6 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))

eval209.0ms (4.9%)

Memory

-4.8MiB live, 190.6MiB allocated; 33ms collecting garbage

Samples

76.0ms	1 095×	0	valid
70.0ms	883×	0	invalid
10.0ms	33×	2	valid
5.0ms	37×	1	valid

Compiler

Compiled 2 044 to 603 computations (70.5% saved)

Precisions

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

ival-sub: 59.0ms (56.8% of total)

ival-mult: 11.0ms (10.6% of total)

ival-log: 11.0ms (10.6% of total)

ival-add: 9.0ms (8.7% of total)

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

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

adjust: 2.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

prune12.0ms (0.3%)

Memory

-38.4MiB live, 11.4MiB allocated; 8ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	120	7	127
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	121	7	128

Accuracy

100.0%

Counts

128 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.4%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))
	24.4%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
▶	99.8%	(asinh.f64 x)
▶	49.4%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (-.f64 (.f64 (-.f64 (.f64 (+.f64 (.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))
▶	50.8%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x))
▶	49.3%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)) x))
▶	51.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)

Compiler

Compiled 224 to 158 computations (29.5% saved)

series13.0ms (0.3%)

Memory

21.5MiB live, 21.5MiB allocated; 0ms collecting garbage

Counts

27 → 99

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((asinh x) x (log (+ x (sqrt (+ (* x x) 1)))) (log (+ x (sqrt (+ (* x x) 1)))) (* (- (* (* x x) -1/6) -1) x) (- (* (* x x) -1/6) -1) (* (* x x) -1/6) (* x x) -1/6 -1 (log (+ 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) (* x x)) (- (* 3/40 (* x x)) 1/6) (* 3/40 (* x x)) 3/40 1/6 (log (+ 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) (* x x)) (- (* (+ (* -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)) -5/112)
4.0ms	x	@	-inf	((asinh x) x (log (+ x (sqrt (+ (* x x) 1)))) (log (+ x (sqrt (+ (* x x) 1)))) (* (- (* (* x x) -1/6) -1) x) (- (* (* x x) -1/6) -1) (* (* x x) -1/6) (* x x) -1/6 -1 (log (+ 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) (* x x)) (- (* 3/40 (* x x)) 1/6) (* 3/40 (* x x)) 3/40 1/6 (log (+ 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) (* x x)) (- (* (+ (* -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)) -5/112)
3.0ms	x	@	0	((asinh x) x (log (+ x (sqrt (+ (* x x) 1)))) (log (+ x (sqrt (+ (* x x) 1)))) (* (- (* (* x x) -1/6) -1) x) (- (* (* x x) -1/6) -1) (* (* x x) -1/6) (* x x) -1/6 -1 (log (+ 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) (* x x)) (- (* 3/40 (* x x)) 1/6) (* 3/40 (* x x)) 3/40 1/6 (log (+ 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) (* x x)) (- (* (+ (* -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)) -5/112)

Time

Variable

Point

Expression

5.0ms

inf

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

4.0ms

-inf

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

3.0ms

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

rewrite167.0ms (3.9%)

Memory

30.4MiB live, 165.3MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	258	2645
0	291	2407
1	1062	2283
0	8378	2283

Stop Event

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

Counts

126 → 387

Calls

Call 1

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

Outputs
(asinh.f64 x)
(-.f64 (log.f64 (-.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal -1 binary64)))) (log.f64 (-.f64 x (cosh.f64 (asinh.f64 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 (.f64 (cosh.f64 (asinh.f64 x)) (-.f64 (cosh.f64 (asinh.f64 x)) x)) (.f64 x x))))
(log.f64 (+.f64 (cosh.f64 (asinh.f64 x)) x))
x
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x))
(.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)
(.f64 x (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) x) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) x) (+.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x))))
(/.f64 (.f64 x (+.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1 binary64)))
(/.f64 (.f64 x (-.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))))))
(-.f64 x (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
(-.f64 x (.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (+.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -1/6 binary64) (.f64 x x))))
(-.f64 (ratio-square-sum.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1 binary64)) (ratio-square-sum.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x))))
(-.f64 (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(-.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(-.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal -1/6 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (.f64 x #s(literal -1/6 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(+.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
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#s(approx (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -5/112 binary64)))
#s(approx (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64)) #s(literal 5/112 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) (.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64)) #s(literal 5/112 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64)))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64)) #s(literal 5/112 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64)) #s(literal 5/112 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64)) #s(literal 5/112 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* -5/112 (* x x)) 3/40) (.f64 #s(literal -5/112 binary64) (.f64 x x)))
#s(approx (+ (* -5/112 (* x x)) 3/40) (.f64 (.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64)) #s(literal 5/112 binary64)) x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (log.f64 (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.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 (+ x (sqrt (+ (* x x) 1)))) (-.f64 (-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.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))) (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (log.f64 (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.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 (+ x (sqrt (+ (* x x) 1)))) (-.f64 (-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.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))) (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64))))
#s(approx (* (- (* (* x x) -1/6) -1) x) (*.f64 (neg.f64 (-.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (- (* (- (* 3/40 (* x x)) 1/6) (* x x)) -1) x) (.f64 (neg.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) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.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)))))
#s(approx (* (- (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) -1) x) (.f64 (neg.f64 (-.f64 #s(literal 5/112 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (- (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) -1) 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 (* (- (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) -1) x) (.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (-.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))) (pow.f64 x #s(literal -6 binary64)))))

eval406.0ms (9.5%)

Memory

-11.1MiB live, 566.9MiB allocated; 59ms collecting garbage

Samples

126.0ms	1 638×	0	invalid
112.0ms	2 970×	0	valid

Compiler

Compiled 18 689 to 2 669 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-div: 44.0ms (44.6% of total)

ival-mult: 30.0ms (30.4% of total)

ival-add: 19.0ms (19.3% of total)

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

ival-assert: 2.0ms (2% of total)

adjust: 1.0ms (1% of total)

prune21.0ms (0.5%)

Memory

-5.1MiB live, 45.1MiB allocated; 5ms collecting garbage

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	541	1	542
Fresh	0	2	2
Picked	1	4	5
Done	0	0	0
Total	542	7	549

Accuracy

100.0%

Counts

549 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.4%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))
▶	24.4%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
✓	99.8%	(asinh.f64 x)
▶	49.3%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 x (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)))
✓	49.4%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (-.f64 (.f64 (-.f64 (.f64 (+.f64 (.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))
✓	50.8%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x))
✓	51.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)

Compiler

Compiled 112 to 78 computations (30.4% saved)

series6.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Counts

14 → 46

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 x (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)))
(-.f64 x (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
x
(.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) x))
#s(approx (sqrt (+ (* x x) 1)) x)

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 (* (* 1/6 (* x x)) x)) #s(hole binary64 x))
#s(approx (- x (* (* 1/6 (* x x)) x)) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (* 1/6 (* x x)) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* 1/6 (* x x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 (/ -1/2 x) #s(hole binary64 (/ -1/2 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 (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 (* (* 1/6 (* x x)) x)) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (- x (* (* 1/6 (* x x)) x)) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#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 (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 (* (* 1/6 (* x x)) x)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#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
2.0ms	x	@	inf	((log (+ x (sqrt (+ (* x x) 1)))) (- x (* (* 1/6 (* x x)) x)) x (* (* 1/6 (* x x)) x) (* 1/6 (* x x)) 1/6 (* x x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) -1/2 (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))
2.0ms	x	@	-inf	((log (+ x (sqrt (+ (* x x) 1)))) (- x (* (* 1/6 (* x x)) x)) x (* (* 1/6 (* x x)) x) (* 1/6 (* x x)) 1/6 (* x x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) -1/2 (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))
1.0ms	x	@	0	((log (+ x (sqrt (+ (* x x) 1)))) (- x (* (* 1/6 (* x x)) x)) x (* (* 1/6 (* x x)) x) (* 1/6 (* x x)) 1/6 (* x x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) -1/2 (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))

Time

Variable

Point

Expression

2.0ms

inf

((log (+ x (sqrt (+ (* x x) 1)))) (- x (* (* 1/6 (* x x)) x)) x (* (* 1/6 (* x x)) x) (* 1/6 (* x x)) 1/6 (* x x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) -1/2 (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))

2.0ms

-inf

((log (+ x (sqrt (+ (* x x) 1)))) (- x (* (* 1/6 (* x x)) x)) x (* (* 1/6 (* x x)) x) (* 1/6 (* x x)) 1/6 (* x x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) -1/2 (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))

1.0ms

((log (+ x (sqrt (+ (* x x) 1)))) (- x (* (* 1/6 (* x x)) x)) x (* (* 1/6 (* x x)) x) (* 1/6 (* x x)) 1/6 (* x x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) -1/2 (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))

rewrite140.0ms (3.3%)

Memory

-1.0MiB live, 136.4MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	196	1045
0	205	777
1	1069	764
0	8310	764

Stop Event

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

Counts

60 → 113

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 x (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)))
(-.f64 x (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
x
(.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) x))
#s(approx (sqrt (+ (* x x) 1)) 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 (* (* 1/6 (* x x)) x)) #s(hole binary64 x))
#s(approx (- x (* (* 1/6 (* x x)) x)) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (* 1/6 (* x x)) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* 1/6 (* x x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 (/ -1/2 x) #s(hole binary64 (/ -1/2 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 (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 (* (* 1/6 (* x x)) x)) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (- x (* (* 1/6 (* x x)) x)) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#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 (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 (* (* 1/6 (* x x)) x)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#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
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 x (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (+.f64 (.f64 x x) (+.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64))) (+.f64 (.f64 x x) (+.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))))
(-.f64 (ratio-square-sum.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 x x) (+.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))) (/.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (+.f64 (.f64 x x) (+.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))))
(-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(+.f64 x (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64)))
(+.f64 x (.f64 (neg.f64 x) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(+.f64 x (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
x
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(neg.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)))
#s(literal 1/6 binary64)
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (.f64 (.f64 x x) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)))
(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))))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 x))
(/.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
(neg.f64 (/.f64 #s(literal 1/2 binary64) x))
#s(literal -1/2 binary64)
(-.f64 (log.f64 (.f64 (+.f64 #s(approx (sqrt (+ ( x x) 1)) x) x) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))) (log.f64 (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary64)))) (log.f64 (+.f64 (.f64 x x) (-.f64 (pow.f64 #s(approx (sqrt (+ ( x x) 1)) x) #s(literal 2 binary64)) (.f64 x #s(approx (sqrt (+ ( x x) 1)) x))))))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x))
(/.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary64)) (.f64 x x)) (-.f64 #s(approx (sqrt (+ ( x x) 1)) x) x))
(/.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 #s(approx (sqrt (+ (* x x) 1)) x) x))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(approx (sqrt (+ ( x x) 1)) x) x) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))) (neg.f64 (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (.f64 x x) (-.f64 (pow.f64 #s(approx (sqrt (+ ( x x) 1)) x) #s(literal 2 binary64)) (.f64 x #s(approx (sqrt (+ ( x x) 1)) x))))))
(/.f64 (.f64 (+.f64 #s(approx (sqrt (+ ( x x) 1)) x) x) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x))) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary64))) (+.f64 (.f64 x x) (-.f64 (pow.f64 #s(approx (sqrt (+ ( x x) 1)) x) #s(literal 2 binary64)) (.f64 x #s(approx (sqrt (+ ( x x) 1)) x)))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x #s(approx (sqrt (+ ( x x) 1)) x))) (/.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary64)) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 x x) (-.f64 (pow.f64 #s(approx (sqrt (+ ( x x) 1)) x) #s(literal 2 binary64)) (.f64 x #s(approx (sqrt (+ ( x x) 1)) x))))) (/.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary64)) (+.f64 (.f64 x x) (-.f64 (pow.f64 #s(approx (sqrt (+ ( x x) 1)) x) #s(literal 2 binary64)) (.f64 x #s(approx (sqrt (+ ( x x) 1)) x))))))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) x))
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (-.f64 (.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 (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (-.f64 (.f64 (-.f64 (.f64 (+.f64 (.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 (* (* 1/6 (* x x)) x)) x)
#s(approx (- x (* (* 1/6 (* x x)) x)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)) x))
#s(approx x x)
#s(approx (* (* 1/6 (* x x)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (* 1/6 (* x x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 binary64))
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.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 (/ -1/2 x) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* x x) 1)) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) (-.f64 (.f64 (-.f64 (.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)) (-.f64 (.f64 (-.f64 (.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 (log (+ x (sqrt (+ (* x x) 1)))) (log.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (-.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- x (* (* 1/6 (* x x)) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (- x (* (* 1/6 (* x x)) x)) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (.f64 (+.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (.f64 (-.f64 (+.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (.f64 (-.f64 (-.f64 (+.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal -6 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (sqrt (+ (* x x) 1)) (.f64 (-.f64 (.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 (-.f64 (.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)))) x))
#s(approx (sqrt (+ (* x x) 1)) (.f64 (-.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal -6 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))
#s(approx (log (+ 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 (+ 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 (+ x (sqrt (+ (* x x) 1)))) (-.f64 (-.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))) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64))))
#s(approx (- x (* (* 1/6 (* x x)) x)) (*.f64 (neg.f64 (-.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.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))) (neg.f64 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.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))) (.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal -6 binary64)))) (neg.f64 x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
#s(approx (sqrt (+ (* x x) 1)) (.f64 (neg.f64 x) (-.f64 (.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 (-.f64 (.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 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal -6 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))

eval31.0ms (0.7%)

Memory

-8.6MiB live, 43.4MiB allocated; 5ms collecting garbage

Samples

11.0ms	167×	0	valid
4.0ms	89×	0	invalid

Compiler

Compiled 2 778 to 506 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-add: 4.0ms (54.5% of total)

ival-div: 2.0ms (27.2% of total)

ival-mult: 2.0ms (27.2% of total)

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

adjust: 0.0ms (0% of total)

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

prune6.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	123	7	130

Accuracy

100.0%

Counts

130 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	27.4%	(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))
✓	24.4%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
✓	99.8%	(asinh.f64 x)
✓	49.3%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 x (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)))
✓	49.4%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (-.f64 (.f64 (-.f64 (.f64 (+.f64 (.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))
✓	50.8%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x))
✓	51.2%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)

Compiler

Compiled 252 to 127 computations (49.6% saved)

regimes9.0ms (0.2%)

Memory

-32.0MiB live, 14.8MiB allocated; 3ms collecting garbage

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 x (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (-.f64 (.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 (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (-.f64 (.f64 (-.f64 (.f64 (+.f64 (.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))
(asinh.f64 x)
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Outputs
(asinh.f64 x)

Calls

3 calls:

4.0ms	x
2.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
2.0ms	(+.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)

regimes6.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Accuracy

Total -1.5b remaining (-4.7%)

Threshold costs -1.5b (-4.7%)

Counts

5 → 1

Calls

Call 1

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

Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
51.2%	1	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
51.2%	1	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
51.2%	1	`x`

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify49.0ms (1.1%)

Memory

-9.0MiB live, 37.9MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	17	13
2	39	13
3	80	13
4	130	13
5	334	13
6	2659	13
7	6732	13

Stop Event

1×	node limit

Calls

Call 1

Inputs
(asinh.f64 x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)

Outputs
(asinh.f64 x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)

derivations34.0ms (0.8%)

Memory

31.3MiB live, 31.3MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 13 to 9 computations (30.8% saved)

preprocess35.0ms (0.8%)

Memory: -23.1MiB live, 23.7MiB allocated; 2ms collecting garbage
Compiler: Compiled 44 to 32 computations (27.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze110.0ms (2.6%)

sample2.4s (55.4%)

explain230.0ms (5.4%)

preprocess215.0ms (5%)

eval0.0ms (0%)

prune0.0ms (0%)

series6.0ms (0.1%)

rewrite196.0ms (4.6%)

eval209.0ms (4.9%)

prune12.0ms (0.3%)

series13.0ms (0.3%)

rewrite167.0ms (3.9%)

eval406.0ms (9.5%)

prune21.0ms (0.5%)

series6.0ms (0.1%)

rewrite140.0ms (3.3%)

eval31.0ms (0.7%)

prune6.0ms (0.1%)

regimes9.0ms (0.2%)

regimes6.0ms (0.1%)

simplify49.0ms (1.1%)

derivations34.0ms (0.8%)

preprocess35.0ms (0.8%)

end0.0ms (0%)

Profiling