Metrics for Hyperbolic arc-cosine

start2.0ms (0%)

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

analyze99.0ms (2.4%)

Memory

-14.1MiB live, 89.1MiB allocated; 35ms 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
0%	0%	100%	0%	0%	0%	0%	3
16.7%	12.5%	62.5%	0%	0%	25%	0%	4
30%	18.7%	43.7%	0%	0%	37.5%	0%	5
38.9%	21.9%	34.4%	0%	0%	43.7%	0%	6
44.1%	23.4%	29.7%	0%	0%	46.9%	0%	7
47%	24.2%	27.3%	0%	0%	48.4%	0%	8
48.5%	24.6%	26.2%	0%	0%	49.2%	0%	9
49.2%	24.8%	25.6%	0%	0%	49.6%	0%	10
49.6%	24.9%	25.3%	0%	0%	49.8%	0%	11
49.8%	24.9%	25.1%	0%	0%	49.9%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample3.4s (82.1%)

Memory

91.0MiB live, 3 770.0MiB allocated; 2.0s collecting garbage

Samples

1.4s	7 847×	1	invalid
1.3s	8 256×	0	valid
20.0ms	314×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.1s

ival-sub: 823.0ms (38.6% of total)

ival-mult: 371.0ms (17.4% of total)

adjust: 346.0ms (16.2% of total)

ival-log: 215.0ms (10.1% of total)

ival-sqrt: 206.0ms (9.7% of total)

ival-add: 152.0ms (7.1% of total)

exact: 12.0ms (0.6% of total)

ival-assert: 5.0ms (0.2% of total)

Bogosity

explain156.0ms (3.8%)

Memory

2.0MiB live, 153.4MiB allocated; 13ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	128	0
↳	`(-.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	128
↳	`(*.f64 x x)`	overflow	128

Confusion

	Predicted +	Predicted -
+	128	0
-	0	128

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	128	0	0
-	0	0	128

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	128
1	128

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

55.0ms

512×

valid

Compiler

Compiled 79 to 25 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-sub: 24.0ms (58.1% of total)

ival-log: 6.0ms (14.5% of total)

ival-mult: 4.0ms (9.7% of total)

ival-sqrt: 4.0ms (9.7% of total)

ival-add: 3.0ms (7.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess201.0ms (4.8%)

Memory

-8.6MiB live, 226.5MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	36	30
2	69	30
3	134	30
4	441	30
5	2697	30
6	6901	30
0	7	9
0	12	9
1	22	9
2	49	9
3	121	9
4	383	9
5	2335	9
6	7889	9
0	8019	8

Stop Event

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

Calls

Call 1

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

Outputs

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

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

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

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.6%	(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 (0.2%)

Memory

11.1MiB live, 11.1MiB 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 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (- (* x x) 1) #s(hole binary64 -1))
#s(approx (- (* x x) 1) #s(hole binary64 (- (pow x 2) 1)))
#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 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))

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	@	0	((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)

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

((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)

rewrite86.0ms (2.1%)

Memory

-4.6MiB live, 99.3MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	988
0	210	724
0	1179	694

Stop Event

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

Counts

49 → 64

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 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (- (* x x) 1) #s(hole binary64 -1))
#s(approx (- (* x x) 1) #s(hole binary64 (- (pow x 2) 1)))
#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 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))

Outputs
(acosh.f64 x)
(log.f64 (+.f64 (sinh.f64 (acosh.f64 x)) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (sinh.f64 (acosh.f64 x)) (sinh.f64 (acosh.f64 x)))) (-.f64 x (sinh.f64 (acosh.f64 x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (-.f64 (.f64 (sinh.f64 (acosh.f64 x)) (sinh.f64 (acosh.f64 x))) (.f64 x (sinh.f64 (acosh.f64 x))))))
(+.f64 (sinh.f64 (acosh.f64 x)) x)
(+.f64 x (sinh.f64 (acosh.f64 x)))
x
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64))
(sinh.f64 (acosh.f64 x))
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1 binary64)))))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 1 binary64)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (/.f64 x (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) (log.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -1/6 binary64) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x (log.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal 3/40 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 x x) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x (log.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)))))
#s(approx (+ x (sqrt (- (* x x) 1))) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x x) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) x #s(literal 1 binary64)) x (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))))
#s(approx x x)
#s(approx (sqrt (- (* x x) 1)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (sqrt (- (* x x) 1)) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))))
#s(approx (sqrt (- (* x x) 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x x) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (*.f64 x x) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))))
#s(approx (sqrt (- (* x x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 x x) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) (.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)))) (.f64 x x) (.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (*.f64 x x) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))))
#s(approx (- (* x x) 1) #s(literal -1 binary64))
#s(approx (- (* x x) 1) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
#s(approx (* x x) (*.f64 x x))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3/32 binary64) (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64))) (*.f64 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -1 binary64) (fma.f64 #s(literal 5/96 binary64) (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 3/32 binary64))) (pow.f64 x #s(literal 4 binary64)))) (.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64))))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f64 (-.f64 #s(literal 2 binary64) (.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 2 binary64)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/16 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) x))
#s(approx (sqrt (- (* x x) 1)) x)
#s(approx (sqrt (- (* x x) 1)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (sqrt (- (* x x) 1)) (.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x))
#s(approx (sqrt (- (* x x) 1)) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/16 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) x))
#s(approx (- (* x x) 1) (*.f64 x x))
#s(approx (- (* x x) 1) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x x) #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 #s(literal -1/2 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))) (log.f64 #s(literal -1/2 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))) (log.f64 #s(literal -1/2 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 #s(literal -1/2 binary64))) (+.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal 5/96 binary64) (.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/16 binary64) #s(literal 1/8 binary64))) (.f64 x x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1 binary64) (fma.f64 #s(literal 5/128 binary64) (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/16 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) x) #s(literal -1 binary64)))
#s(approx (sqrt (- (* x x) 1)) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (- (* x x) 1)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) x) #s(literal -1 binary64)))
#s(approx (sqrt (- (* x x) 1)) (.f64 (.f64 #s(literal -1 binary64) x) (fma.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (- (* x x) 1)) (.f64 (.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/16 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))

eval9.0ms (0.2%)

Memory: -28.1MiB live, 19.4MiB allocated; 1ms collecting garbage
Compiler: Compiled 1 319 to 311 computations (76.4% saved)

prune7.0ms (0.2%)

Memory

15.9MiB live, 15.9MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	2	69

Accuracy

100.0%

Counts

69 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.6%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
▶	99.9%	(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) (.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x))))

Status

Accuracy

Program

✓

51.6%

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

▶

99.9%

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

Compiler

Compiled 36 to 25 computations (30.6% saved)

series6.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Counts

14 → 61

Calls

Call 1

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

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (* (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) x) #s(hole binary64 (/ -1/8 (pow x 3))))
#s(approx (* (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) x) #s(hole binary64 (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))))
#s(approx (* (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) x) #s(hole binary64 (/ (- (* (pow x 2) (- (pow x 2) 1/2)) 1/8) (pow x 3))))
#s(approx (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) #s(hole binary64 (/ -1/8 (pow x 4))))
#s(approx (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) #s(hole binary64 (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 4))))
#s(approx (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) #s(hole binary64 (/ (- (* (pow x 2) (- (pow x 2) 1/2)) 1/8) (pow x 4))))
#s(approx (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) #s(hole binary64 (/ 1/8 (pow x 4))))
#s(approx (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) #s(hole binary64 (/ (+ 1/8 (* 1/2 (pow x 2))) (pow x 4))))
#s(approx (+ (* (pow (* x x) -1) 1/8) 1/2) #s(hole binary64 (/ 1/8 (pow x 2))))
#s(approx (+ (* (pow (* x x) -1) 1/8) 1/2) #s(hole binary64 (/ (+ 1/8 (* 1/2 (pow x 2))) (pow x 2))))
#s(approx (pow (* x x) -1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (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 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) x) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) x) #s(hole binary64 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) #s(hole binary64 (- 1 (* 1/2 (/ 1 (pow x 2))))))
#s(approx (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
#s(approx (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) #s(hole binary64 (/ 1/2 (pow x 2))))
#s(approx (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) #s(hole binary64 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))
#s(approx (+ (* (pow (* x x) -1) 1/8) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (pow (* x x) -1) 1/8) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 (/ 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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) x) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))))
#s(approx (* (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) x) #s(hole binary64 (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1)))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) x (sqrt (- (* x x) 1)) (* (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) x) (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) (+ (* (pow (* x x) -1) 1/8) 1/2) (pow (* x x) -1) (* x x) -1 1/8 1/2 1)
1.0ms	x	@	inf	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) x (sqrt (- (* x x) 1)) (* (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) x) (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) (+ (* (pow (* x x) -1) 1/8) 1/2) (pow (* x x) -1) (* x x) -1 1/8 1/2 1)
1.0ms	x	@	-inf	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) x (sqrt (- (* x x) 1)) (* (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) x) (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) (+ (* (pow (* x x) -1) 1/8) 1/2) (pow (* x x) -1) (* x x) -1 1/8 1/2 1)

Time

Variable

Point

Expression

2.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

rewrite66.0ms (1.6%)

Memory

0.9MiB live, 96.7MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	255	1604
0	270	1253
0	1431	1225

Stop Event

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

Counts

75 → 116

Calls

Call 1

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

Outputs
(log.f64 (+.f64 #s(approx (sqrt (- (* x x) 1)) (.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x)) x))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(approx (sqrt (- (* x x) 1)) (.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x)) #s(approx (sqrt (- ( x x) 1)) (.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x)))) (-.f64 x #s(approx (sqrt (- ( x x) 1)) (.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 #s(approx (sqrt (- (* x x) 1)) (.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (-.f64 (.f64 #s(approx (sqrt (- (* x x) 1)) (.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x)) #s(approx (sqrt (- ( x x) 1)) (.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x))) (.f64 x #s(approx (sqrt (- (* x x) 1)) (.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x))))))
(+.f64 #s(approx (sqrt (- (* x x) 1)) (.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x)) x)
(+.f64 x #s(approx (sqrt (- (* x x) 1)) (.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x)))
x
#s(approx (sqrt (- (* x x) 1)) (.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64)) x))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64)) (.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64)) (.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64)) (.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
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#s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64)) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/16 binary64) #s(literal 1/8 binary64))) (.f64 x x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1 binary64) (fma.f64 #s(literal 5/128 binary64) (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/16 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) x) #s(literal -1 binary64)))
#s(approx (sqrt (- (* x x) 1)) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (- (* x x) 1)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) x) #s(literal -1 binary64)))
#s(approx (sqrt (- (* x x) 1)) (.f64 (.f64 #s(literal -1 binary64) x) (fma.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (- (* x x) 1)) (.f64 (.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/16 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))
#s(approx (* (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) x) (.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal -1 binary64)))
#s(approx (* (+ (* (/ (+ (* (pow (* x x) -1) 1/8) 1/2) (* x x)) -1) 1) x) (.f64 (.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) x) #s(literal -1 binary64)))

eval19.0ms (0.5%)

Memory: -14.4MiB live, 31.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 4 361 to 744 computations (82.9% saved)

prune22.0ms (0.5%)

Memory

-4.9MiB live, 41.4MiB allocated; 3ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	133	2	135

Accuracy

100.0%

Counts

135 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.6%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	99.9%	(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) (.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x))))

Status

Accuracy

Program

✓

51.6%

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

✓

99.9%

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

Compiler

Compiled 72 to 47 computations (34.7% saved)

regimes4.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

Accuracy

Total -31.0b remaining (-57530.2%)

Threshold costs -31b (-57530.2%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify40.0ms (1%)

Memory

-26.6MiB live, 70.0MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	27
1	26	27
2	53	27
3	132	27
4	503	27
5	2673	27

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

Outputs

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

derivations4.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 27 to 18 computations (33.3% saved)

preprocess13.0ms (0.3%)

Memory: 30.6MiB live, 30.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 72 to 50 computations (30.6% saved)

end0.0ms (0%)

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

start2.0ms (0%)

analyze99.0ms (2.4%)

sample3.4s (82.1%)

explain156.0ms (3.8%)

preprocess201.0ms (4.8%)

eval0.0ms (0%)

prune0.0ms (0%)

series6.0ms (0.2%)

rewrite86.0ms (2.1%)

eval9.0ms (0.2%)

prune7.0ms (0.2%)

series6.0ms (0.1%)

rewrite66.0ms (1.6%)

eval19.0ms (0.5%)

prune22.0ms (0.5%)

regimes4.0ms (0.1%)

simplify40.0ms (1%)

derivations4.0ms (0.1%)

preprocess13.0ms (0.3%)

end0.0ms (0%)

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