Metrics for Main:bigenough3 from C

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

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
50%	50%	50%	0%	0%	0%	0%	2
66.7%	50%	25%	0%	0%	25%	0%	3
80%	50%	12.5%	0%	0%	37.5%	0%	4
88.9%	50%	6.2%	0%	0%	43.7%	0%	5
94.1%	50%	3.1%	0%	0%	46.9%	0%	6
97%	50%	1.6%	0%	0%	48.4%	0%	7
98.5%	50%	0.8%	0%	0%	49.2%	0%	8
99.2%	50%	0.4%	0%	0%	49.6%	0%	9
99.6%	50%	0.2%	0%	0%	49.8%	0%	10
99.8%	50%	0.1%	0%	0%	49.9%	0%	11
99.9%	50%	0%	0%	0%	49.9%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.4s (23.2%)

Memory

36.8MiB live, 961.9MiB allocated

Samples

693.0ms	3 960×	1	valid
282.0ms	4 296×	0	valid
0.0ms	9×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 772.0ms

ival-sqrt: 384.0ms (49.7% of total)

ival-sub: 164.0ms (21.2% of total)

adjust: 118.0ms (15.3% of total)

ival-add: 91.0ms (11.8% of total)

ival-true: 7.0ms (0.9% of total)

exact: 5.0ms (0.6% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain202.0ms (3.3%)

Memory

0.9MiB live, 77.3MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`	cancellation	113	0

Confusion

	Predicted +	Predicted -
+	113	0
-	0	143

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	113	0	0
-	0	0	143

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	143
1	113

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms	218×	1	valid
14.0ms	294×	0	valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-sqrt: 10.0ms (45% of total)

adjust: 4.0ms (18% of total)

ival-add: 4.0ms (18% of total)

ival-sub: 3.0ms (13.5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess129.0ms (2.1%)

Memory

-4.1MiB live, 31.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	18	17
2	44	16
3	91	16
4	170	16
5	221	16
6	254	16
0	6	7
0	10	7
1	15	7
2	19	7
3	28	7
4	43	7
5	78	7
6	118	7
7	140	7
8	144	7
0	144	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.7%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify8.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
cost-diff	0	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	15	18
2	19	18
3	28	18
4	43	18
5	78	18
6	118	18
7	140	18
8	144	18
0	144	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize69.0ms (1.1%)

Memory

-35.3MiB live, 25.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0	(sqrt.f64 x)
accuracy	0.0078125	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
accuracy	26.43291607761928	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Samples

56.0ms	109×	1	valid
7.0ms	147×	0	valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sqrt: 5.0ms (46.3% of total)

adjust: 2.0ms (18.5% of total)

ival-add: 2.0ms (18.5% of total)

ival-sub: 2.0ms (18.5% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated

Counts

4 → 27

Calls

Call 1

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

Outputs
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+ 1 x)
(sqrt x)
(* 1/2 (sqrt (/ 1 x)))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
x
(* x (+ 1 (/ 1 x)))
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (sqrt x))
1.0ms	x	@	inf	((- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (sqrt x))
1.0ms	x	@	0	((- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (sqrt x))

simplify21.0ms (0.3%)

Memory

10.3MiB live, 10.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	461
0	338	427

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

27 → 26

Calls

Call 1

Inputs
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+ 1 x)
(sqrt x)
(* 1/2 (sqrt (/ 1 x)))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
x
(* x (+ 1 (/ 1 x)))
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))

Outputs
(- 1 (sqrt x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(sqrt x)
(sqrt.f64 x)
(* 1/2 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
x
(* x (+ 1 (/ 1 x)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(* -1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/8 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/8 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/8 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -5/128 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(neg.f64 (.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(neg.f64 (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(neg.f64 (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) #s(literal 1/16 binary64) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))))) x))

rewrite308.0ms (5%)

Memory

-18.1MiB live, 137.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	16
1	44	16
2	309	16
3	3877	16
0	9397	16

Stop Event

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

Counts

4 → 330

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (pow.f64 (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)) #s(literal 2 binary64))) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (fma.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)) (fma.f64 x x #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (exp.f64 (.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)))
(*.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (sqrt.f64 x) x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))
(.f64 (exp.f64 (.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) x) x))
(*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (exp.f64 (.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64))))
(*.f64 (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)) (/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))))
(.f64 (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)) (pow.f64 (.f64 (exp.f64 (*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64))) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (pow.f64 (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (/.f64 (exp.f64 (*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x)) (exp.f64 (*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64))))
(/.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (pow.f64 (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)) #s(literal -1 binary64)))
(/.f64 (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (exp.f64 (.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) x))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64)))) (fma.f64 x (-.f64 (-.f64 #s(literal 1 binary64) x) x) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 9/2 binary64)) (pow.f64 x #s(literal 9/2 binary64))) (pow.f64 (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)) #s(literal -1 binary64))) (+.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x x x) #s(literal 3/2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 (.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (.f64 x (exp.f64 (.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64)))) #s(literal 2 binary64))) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))) #s(literal 2 binary64))) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 (.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 x (exp.f64 (.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 (.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (exp.f64 (.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 (.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64)))) (.f64 x (exp.f64 (*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)))))))
(/.f64 (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (exp.f64 (.f64 (asinh.f64 (sqrt.f64 x)) #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 x (-.f64 (-.f64 #s(literal 1 binary64) x) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 9/2 binary64)) (pow.f64 x #s(literal 9/2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x x x) #s(literal 3/2 binary64))) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))))
(/.f64 (*.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)))
(/.f64 (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) x)) (-.f64 (-.f64 #s(literal 1 binary64) x) x))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))) (.f64 (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)) (pow.f64 x #s(literal 3/2 binary64)))) (pow.f64 (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (exp.f64 (*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 9/2 binary64)) (pow.f64 x #s(literal 9/2 binary64))) (*.f64 (+.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x x x) #s(literal 3/2 binary64))) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x (-.f64 (-.f64 #s(literal 1 binary64) x) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (+.f64 x (-.f64 (-.f64 #s(literal 1 binary64) x) (hypot.f64 (sqrt.f64 x) x))))
(/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64))))
(neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)) #s(literal 2 binary64))) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)))))
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)) #s(literal 2 binary64))) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))))
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (+.f64 (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (fma.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)))))
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (+.f64 (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (fma.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (.f64 x (exp.f64 (.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64))))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 x (exp.f64 (.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)) (neg.f64 (.f64 x (exp.f64 (.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64))))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)) (.f64 x (exp.f64 (.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64)))))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (sqrt.f64 x))
(fma.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x))
(fma.f64 (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (sqrt.f64 x))
(fma.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
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eval42.0ms (0.7%)

Memory: 28.0MiB live, 102.8MiB allocated
Compiler: Compiled 6 382 to 1 122 computations (82.4% saved)

prune13.0ms (0.2%)

Memory

2.2MiB live, 39.5MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	348	8	356
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	348	9	357

Accuracy

99.9%

Counts

357 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.7%	(fma.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 (.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64))) (.f64 x (exp.f64 (*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64)))))
▶	57.2%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x)))))
✓	58.7%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
▶	55.7%	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x))
	57.1%	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
▶	54.9%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
	46.4%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
▶	44.4%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
	47.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))

Compiler

Compiled 267 to 206 computations (22.8% saved)

simplify141.0ms (2.3%)

Memory

-30.0MiB live, 209.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
cost-diff	0	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x)))))
cost-diff	26432	(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x))))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
cost-diff	0	(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
cost-diff	0	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
cost-diff	0	(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
cost-diff	0	(exp.f64 (*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	192	(*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64))
cost-diff	14720	(fma.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 (.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64))) (.f64 x (exp.f64 (*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64)))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	215
0	63	191
1	114	185
2	266	184
3	958	184
4	6088	184
0	8636	184

Stop Event

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

Calls

Call 1

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

Outputs
(fma.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 (.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64))) (.f64 x (exp.f64 (*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64)))))
(exp.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(exp.f64 (*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))))
(*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64))
(neg.f64 (asinh.f64 (sqrt.f64 x)))
(asinh.f64 (sqrt.f64 x))
(sqrt.f64 x)
#s(literal -1 binary64)
(.f64 x (exp.f64 (.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64))))
(/.f64 x (exp.f64 (asinh.f64 (sqrt.f64 x))))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
#s(literal -1/8 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sqrt.f64 x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -1/8 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x)))))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x))))
(sqrt.f64 x)
(cosh.f64 (log.f64 (sqrt.f64 x)))
(log.f64 (sqrt.f64 x))
(sqrt.f64 x)
(sinh.f64 (log.f64 (sqrt.f64 x)))

localize247.0ms (4%)

Memory

32.6MiB live, 391.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	4.77463669515504	(sinh.f64 (log.f64 (sqrt.f64 x)))
accuracy	4.780815161438979	(cosh.f64 (log.f64 (sqrt.f64 x)))
accuracy	26.43291607761928	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x)))))
accuracy	32.89738628485342	(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x))))
accuracy	0.01953125	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
accuracy	0.1484375	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	0.19921875	(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
accuracy	35.450122503567876	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
accuracy	0	(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
accuracy	0	(sqrt.f64 x)
accuracy	26.43291607761928	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy	28.418720684633136	#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
accuracy	0	(sqrt.f64 x)
accuracy	26.43291607761928	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
accuracy	27.266971210072743	#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
accuracy	0.05859375	(asinh.f64 (sqrt.f64 x))
accuracy	0.1484375	(.f64 x (exp.f64 (.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64))))
accuracy	2.1415539227246203	(exp.f64 (*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
accuracy	26.398631566061272	(fma.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 (.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64))) (.f64 x (exp.f64 (*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64)))))

Samples

191.0ms	245×	1	valid
3.0ms	11×	0	valid

Compiler

Compiled 405 to 69 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 163.0ms

adjust: 28.0ms (17.2% of total)

ival-sqrt: 23.0ms (14.1% of total)

ival-add: 19.0ms (11.6% of total)

ival-mult: 18.0ms (11% of total)

ival-cosh: 16.0ms (9.8% of total)

ival-div: 13.0ms (8% of total)

ival-log: 12.0ms (7.4% of total)

ival-sinh: 11.0ms (6.7% of total)

ival-sub: 8.0ms (4.9% of total)

ival-exp: 7.0ms (4.3% of total)

ival-asinh: 7.0ms (4.3% of total)

exact: 1.0ms (0.6% of total)

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

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

series189.0ms (3.1%)

Memory

0.5MiB live, 193.8MiB allocated

Counts

23 → 115

Calls

Call 1

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

Outputs
(/ 1 (+ (sqrt x) (sqrt (+ 1 x))))
(* -1 (log (+ (sqrt x) (sqrt (+ 1 x)))))
1
(+ 1 (* -1 x))
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(sqrt x)
1/2
(+ 1/2 (* -1/8 x))
(* -1/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(* -1/8 (sqrt (/ 1 x)))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)
(sqrt (/ 1 x))
(+ (* 1/2 (+ (sqrt x) (sqrt (/ 1 x)))) (* 1/2 (+ (sqrt x) (* -1 (sqrt (/ 1 x))))))
(- 1 (+ (* 1/2 (+ (sqrt x) (sqrt (/ 1 x)))) (* 1/2 (+ (sqrt x) (* -1 (sqrt (/ 1 x)))))))
(- (+ 1 (* 1/2 x)) (+ (* 1/2 (+ (sqrt x) (sqrt (/ 1 x)))) (* 1/2 (+ (sqrt x) (* -1 (sqrt (/ 1 x)))))))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (+ (* 1/2 (+ (sqrt x) (sqrt (/ 1 x)))) (* 1/2 (+ (sqrt x) (* -1 (sqrt (/ 1 x)))))))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (+ (* 1/2 (+ (sqrt x) (sqrt (/ 1 x)))) (* 1/2 (+ (sqrt x) (* -1 (sqrt (/ 1 x)))))))
(+ 1 x)
(/ x (+ (sqrt x) (sqrt (+ 1 x))))
(log (+ (sqrt x) (sqrt (+ 1 x))))
(* 1/2 (+ (sqrt x) (sqrt (/ 1 x))))
(* 1/2 (+ (sqrt x) (* -1 (sqrt (/ 1 x)))))
(* x (+ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* -1 (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))))
(* x (+ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x))))
(* x (+ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (+ (* -1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (+ (* 1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x))))))
(* x (+ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (+ (* -1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (+ (* -1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (pow x 2))) (+ (* 1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)))))))
(* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))
(- (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (* 1/4 (/ 1 x)))
(- (+ (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (* 3/32 (/ 1 (pow x 2)))) (/ 1/4 x))
(- (+ (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (* 3/32 (/ 1 (pow x 2)))) (+ (/ 1/4 x) (* 5/96 (/ 1 (pow x 3)))))
(* -1 x)
(* x (- (/ 1 x) 1))
(exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))
(+ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* -1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)))
(+ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (+ (* -1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (* 1/8 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (pow x 2)))))
(+ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (+ (* -1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (+ (* -5/64 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (pow x 3))) (* 1/8 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (pow x 2))))))
(* 1/2 (sqrt (/ 1 x)))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8))
(* -1/8 x)
(* x (- (* 1/2 (/ 1 x)) 1/8))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(* 1/2 (sqrt x))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(+ (* 1/2 (+ (exp (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x)))))))) (* 1/2 (- (exp (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x)))))))))
(* x (+ (sqrt (/ 1 x)) (* -1 (/ (+ (* 1/2 (+ (exp (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x)))))))) (* 1/2 (- (exp (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x))))))))) x))))
(* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (/ (+ (exp (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x))))))) x)) (* 1/2 (/ (- (exp (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x))))))) x)))))
(* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* 1/2 (/ (+ (exp (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x))))))) x)) (* 1/2 (/ (- (exp (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x))))))) x)))))
x
(* x (+ 1 (/ 1 x)))
(* x (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))
(* x (+ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* -1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x))))
(* x (+ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (+ (* -1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (* 1/8 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (pow x 2))))))
(* x (+ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (+ (* -1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (+ (* -5/64 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (pow x 3))) (* 1/8 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (pow x 2)))))))
(+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))
(+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 x))))
(- (+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (/ 1/4 x))) (* 3/32 (/ 1 (pow x 2))))
(- (+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (+ (/ 1/4 x) (* 5/96 (/ 1 (pow x 3)))))) (* 3/32 (/ 1 (pow x 2))))
(* 1/2 (+ (exp (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x))))))))
(* 1/2 (- (exp (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x))))))))
(* -1 (* x (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* -1 (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))))))
(* -1 (* x (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (* -1 (/ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) x))))))
(* -1 (* x (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (* -1 (/ (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/4 (/ (* x (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (pow (sqrt -1) 2))) (* 1/4 (/ (* x (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (pow (sqrt -1) 2)))) x))) x))))))
(* -1 (* x (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (* -1 (/ (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/4 (/ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (+ (* -1/4 (/ (* x (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (pow (sqrt -1) 2))) (* 1/4 (/ (* x (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (pow (sqrt -1) 2))))) x))) x))))))
(* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))
(+ (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (* x (pow (sqrt -1) 2)))))
(- (+ (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (/ 3/32 (* (pow x 2) (pow (sqrt -1) 4)))) (/ -1/4 (* x (pow (sqrt -1) 2))))
(- (+ (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (+ (* 3/32 (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* 5/96 (/ 1 (* (pow x 3) (pow (sqrt -1) 6)))))) (/ -1/4 (* x (pow (sqrt -1) 2))))
(* -1 (* x (- 1 (/ 1 x))))
(exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))
(+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* 1/4 (/ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* x (pow (sqrt -1) 2)))))
(+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (+ (* 1/8 (/ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* (pow x 2) (pow (sqrt -1) 4)))) (* 1/4 (/ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* x (pow (sqrt -1) 2))))))
(+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (+ (* 5/64 (/ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* (pow x 3) (pow (sqrt -1) 6)))) (+ (* 1/8 (/ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* (pow x 2) (pow (sqrt -1) 4)))) (* 1/4 (/ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* x (pow (sqrt -1) 2)))))))
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* 1/2 (+ (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x)))))))) (* 1/2 (- (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x)))))))))
(* -1 (* x (+ (* 1/2 (/ (+ (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))))) x)) (+ (* 1/2 (/ (- (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (- (* -1/2 (sqrt (/ 1 x))) (+ (* 1/2 (+ (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x)))))))) (* 1/2 (- (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x)))))))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (+ (* 1/2 (+ (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x)))))))) (* 1/2 (- (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x)))))))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* x (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))))
(* -1 (* x (+ (* -1 (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (* -1/4 (/ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* x (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* -1 (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (+ (* -1/4 (/ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* x (pow (sqrt -1) 2)))) (* -1/8 (/ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* (pow x 2) (pow (sqrt -1) 4))))))))
(* -1 (* x (+ (* -1 (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (+ (* -1/4 (/ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* x (pow (sqrt -1) 2)))) (+ (* -1/8 (/ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* (pow x 2) (pow (sqrt -1) 4)))) (* -5/64 (/ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* (pow x 3) (pow (sqrt -1) 6)))))))))
(+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))
(- (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (* x (pow (sqrt -1) 2)))))
(- (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (log (/ -1 x))) (/ -1/4 (* x (pow (sqrt -1) 2))))) (/ 3/32 (* (pow x 2) (pow (sqrt -1) 4))))
(- (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (log (/ -1 x))) (/ -1/4 (* x (pow (sqrt -1) 2))))) (+ (* 3/32 (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* 5/96 (/ 1 (* (pow x 3) (pow (sqrt -1) 6))))))
(* 1/2 (+ (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))))))
(* 1/2 (- (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))))))

Calls

3 calls:

Time	Variable		Point	Expression
96.0ms	x	@	0	((+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (* (asinh (sqrt x)) -1) (- 1 x) (exp (* (asinh (sqrt x)) -1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (+ (* -1/8 x) 1/2) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (sqrt (/ 1 x)) (+ (cosh (log (sqrt x))) (sinh (log (sqrt x)))) (- (sqrt (+ x 1)) (+ (cosh (log (sqrt x))) (sinh (log (sqrt x))))) (sqrt (+ x 1)) (+ x 1) (* x (exp (* (asinh (sqrt x)) -1))) (asinh (sqrt x)) (cosh (log (sqrt x))) (sinh (log (sqrt x))))
76.0ms	x	@	-inf	((+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (* (asinh (sqrt x)) -1) (- 1 x) (exp (* (asinh (sqrt x)) -1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (+ (* -1/8 x) 1/2) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (sqrt (/ 1 x)) (+ (cosh (log (sqrt x))) (sinh (log (sqrt x)))) (- (sqrt (+ x 1)) (+ (cosh (log (sqrt x))) (sinh (log (sqrt x))))) (sqrt (+ x 1)) (+ x 1) (* x (exp (* (asinh (sqrt x)) -1))) (asinh (sqrt x)) (cosh (log (sqrt x))) (sinh (log (sqrt x))))
14.0ms	x	@	inf	((+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (* (asinh (sqrt x)) -1) (- 1 x) (exp (* (asinh (sqrt x)) -1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (+ (* -1/8 x) 1/2) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (sqrt (/ 1 x)) (+ (cosh (log (sqrt x))) (sinh (log (sqrt x)))) (- (sqrt (+ x 1)) (+ (cosh (log (sqrt x))) (sinh (log (sqrt x))))) (sqrt (+ x 1)) (+ x 1) (* x (exp (* (asinh (sqrt x)) -1))) (asinh (sqrt x)) (cosh (log (sqrt x))) (sinh (log (sqrt x))))

Time

Variable

Point

Expression

96.0ms

((+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (* (asinh (sqrt x)) -1) (- 1 x) (exp (* (asinh (sqrt x)) -1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (+ (* -1/8 x) 1/2) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (sqrt (/ 1 x)) (+ (cosh (log (sqrt x))) (sinh (log (sqrt x)))) (- (sqrt (+ x 1)) (+ (cosh (log (sqrt x))) (sinh (log (sqrt x))))) (sqrt (+ x 1)) (+ x 1) (* x (exp (* (asinh (sqrt x)) -1))) (asinh (sqrt x)) (cosh (log (sqrt x))) (sinh (log (sqrt x))))

76.0ms

-inf

((+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (* (asinh (sqrt x)) -1) (- 1 x) (exp (* (asinh (sqrt x)) -1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (+ (* -1/8 x) 1/2) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (sqrt (/ 1 x)) (+ (cosh (log (sqrt x))) (sinh (log (sqrt x)))) (- (sqrt (+ x 1)) (+ (cosh (log (sqrt x))) (sinh (log (sqrt x))))) (sqrt (+ x 1)) (+ x 1) (* x (exp (* (asinh (sqrt x)) -1))) (asinh (sqrt x)) (cosh (log (sqrt x))) (sinh (log (sqrt x))))

14.0ms

inf

((+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (* (asinh (sqrt x)) -1) (- 1 x) (exp (* (asinh (sqrt x)) -1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (+ (* -1/8 x) 1/2) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (sqrt (/ 1 x)) (+ (cosh (log (sqrt x))) (sinh (log (sqrt x)))) (- (sqrt (+ x 1)) (+ (cosh (log (sqrt x))) (sinh (log (sqrt x))))) (sqrt (+ x 1)) (+ x 1) (* x (exp (* (asinh (sqrt x)) -1))) (asinh (sqrt x)) (cosh (log (sqrt x))) (sinh (log (sqrt x))))

simplify90.0ms (1.5%)

Memory

11.0MiB live, 91.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	375	3428
0	1317	3348

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

115 → 114

Calls

Call 1

Inputs
(/ 1 (+ (sqrt x) (sqrt (+ 1 x))))
(* -1 (log (+ (sqrt x) (sqrt (+ 1 x)))))
1
(+ 1 (* -1 x))
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(sqrt x)
1/2
(+ 1/2 (* -1/8 x))
(* -1/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(* -1/8 (sqrt (/ 1 x)))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)
(sqrt (/ 1 x))
(+ (* 1/2 (+ (sqrt x) (sqrt (/ 1 x)))) (* 1/2 (+ (sqrt x) (* -1 (sqrt (/ 1 x))))))
(- 1 (+ (* 1/2 (+ (sqrt x) (sqrt (/ 1 x)))) (* 1/2 (+ (sqrt x) (* -1 (sqrt (/ 1 x)))))))
(- (+ 1 (* 1/2 x)) (+ (* 1/2 (+ (sqrt x) (sqrt (/ 1 x)))) (* 1/2 (+ (sqrt x) (* -1 (sqrt (/ 1 x)))))))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (+ (* 1/2 (+ (sqrt x) (sqrt (/ 1 x)))) (* 1/2 (+ (sqrt x) (* -1 (sqrt (/ 1 x)))))))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (+ (* 1/2 (+ (sqrt x) (sqrt (/ 1 x)))) (* 1/2 (+ (sqrt x) (* -1 (sqrt (/ 1 x)))))))
(+ 1 x)
(/ x (+ (sqrt x) (sqrt (+ 1 x))))
(log (+ (sqrt x) (sqrt (+ 1 x))))
(* 1/2 (+ (sqrt x) (sqrt (/ 1 x))))
(* 1/2 (+ (sqrt x) (* -1 (sqrt (/ 1 x)))))
(* x (+ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* -1 (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))))
(* x (+ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x))))
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(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 (neg.f64 x) (fma.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/8 binary64) (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* 1/2 (+ (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x)))))))) (* 1/2 (- (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x)))))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (exp.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))) (-.f64 (exp.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (exp.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))
(* -1 (* x (+ (* 1/2 (/ (+ (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))))) x)) (+ (* 1/2 (/ (- (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (exp.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))) x) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 (exp.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (exp.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))) x) #s(literal 1/2 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (+ (* -1 (/ (- (* -1/2 (sqrt (/ 1 x))) (+ (* 1/2 (+ (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x)))))))) (* 1/2 (- (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x)))))))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f64 (neg.f64 x) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (exp.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))) (-.f64 (exp.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (exp.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))) x))))
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (+ (* 1/2 (+ (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x)))))))) (* 1/2 (- (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x)))))))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f64 (neg.f64 x) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/8 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (exp.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))) (-.f64 (exp.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (exp.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))) x))))
(* x (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))))
(.f64 (exp.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))) x)
(* -1 (* x (+ (* -1 (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (* -1/4 (/ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* x (pow (sqrt -1) 2)))))))
(.f64 (neg.f64 x) (fma.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) #s(literal -1/4 binary64) (neg.f64 (exp.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))))))
(* -1 (* x (+ (* -1 (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (+ (* -1/4 (/ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* x (pow (sqrt -1) 2)))) (* -1/8 (/ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* (pow x 2) (pow (sqrt -1) 4))))))))
(.f64 (neg.f64 x) (fma.f64 (exp.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))) #s(literal -1 binary64) (fma.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (.f64 x x))) #s(literal -1/8 binary64) (.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) #s(literal -1/4 binary64)))))
(* -1 (* x (+ (* -1 (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (+ (* -1/4 (/ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* x (pow (sqrt -1) 2)))) (+ (* -1/8 (/ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* (pow x 2) (pow (sqrt -1) 4)))) (* -5/64 (/ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* (pow x 3) (pow (sqrt -1) 6)))))))))
(.f64 (neg.f64 x) (fma.f64 (exp.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))) #s(literal -1 binary64) (fma.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) #s(literal -1/4 binary64) (fma.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -5/64 binary64) (.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (.f64 x x))) #s(literal -1/8 binary64))))))
(+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))
(- (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (* x (pow (sqrt -1) 2)))))
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)))
(- (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (log (/ -1 x))) (/ -1/4 (* x (pow (sqrt -1) 2))))) (/ 3/32 (* (pow x 2) (pow (sqrt -1) 4))))
(-.f64 (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))) (log.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(- (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (log (/ -1 x))) (/ -1/4 (* x (pow (sqrt -1) 2))))) (+ (* 3/32 (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* 5/96 (/ 1 (* (pow x 3) (pow (sqrt -1) 6))))))
(-.f64 (-.f64 (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))) (log.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 5/96 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(* 1/2 (+ (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))))))
(.f64 (fma.f64 (exp.f64 (log.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (exp.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))) #s(literal 1/2 binary64))
(* 1/2 (- (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))))))
(.f64 (-.f64 (exp.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (exp.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))) #s(literal 1/2 binary64))

rewrite313.0ms (5.1%)

Memory

3.7MiB live, 356.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	182
0	63	161
1	259	152
2	2102	150
0	9293	147

Stop Event

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

Counts

23 → 776

Calls

Call 1

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

Outputs
(*.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x) (exp.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))))
(.f64 (-.f64 (exp.f64 (.f64 (fma.f64 #s(literal -1 binary64) (asinh.f64 (sqrt.f64 x)) (log1p.f64 (neg.f64 x))) #s(literal 2 binary64))) (pow.f64 (.f64 (exp.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))) x) #s(literal 2 binary64))) (pow.f64 (.f64 (exp.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))) (-.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64)))
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(/.f64 (fabs.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fabs.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fabs.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 (cosh.f64 (log.f64 x)) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 x))) (cosh.f64 (log.f64 (sqrt.f64 x))))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fabs.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))))
(fabs.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))))
(fabs.f64 (+.f64 x #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)))
(exp.f64 (log1p.f64 x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(*.f64 (exp.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))) x)
(*.f64 x (exp.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) x (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(fma.f64 x (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))) x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) (exp.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))))))
(fabs.f64 (*.f64 (exp.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))) x))
(exp.f64 (fma.f64 #s(literal -1 binary64) (asinh.f64 (sqrt.f64 x)) (log.f64 x)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(+.f64 (*.f64 x (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(asinh.f64 (sqrt.f64 x))
(neg.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))))
(-.f64 (log.f64 (-.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(-.f64 (log.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log.f64 (+.f64 x (-.f64 (+.f64 x #s(literal 1 binary64)) (hypot.f64 (sqrt.f64 x) x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (log.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x (hypot.f64 (sqrt.f64 x) x)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (asinh.f64 (sqrt.f64 x))))
(log.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))))
(*.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal -1 binary64))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal -2 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(cosh.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)))
(cosh.f64 (log.f64 (sqrt.f64 x)))
(-.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 (sqrt.f64 x)))) (.f64 #s(literal 0 binary64) (sinh.f64 (log.f64 (sqrt.f64 x)))))
(+.f64 (/.f64 (sqrt.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (-.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal -2 binary64))
(/.f64 (-.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64)))))
(sinh.f64 (log.f64 (sqrt.f64 x)))
(-.f64 (/.f64 (sqrt.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)))

eval212.0ms (3.5%)

Memory: 21.9MiB live, 444.2MiB allocated
Compiler: Compiled 45 225 to 4 604 computations (89.8% saved)

prune31.0ms (0.5%)

Memory

-30.4MiB live, 95.4MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1 346	5	1 351
Fresh	1	2	3
Picked	3	2	5
Done	0	1	1
Total	1 350	10	1 360

Accuracy

100.0%

Counts

1 360 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.7%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	55.7%	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x))
▶	57.1%	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x))
✓	54.9%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
	19.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 x (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) (.f64 x (/.f64 x (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))))
	46.4%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
▶	44.4%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
▶	47.2%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
▶	47.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
▶	99.8%	#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))

Compiler

Compiled 355 to 256 computations (27.9% saved)

simplify152.0ms (2.5%)

Memory

26.5MiB live, 180.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
cost-diff	0	(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
cost-diff	0	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
cost-diff	0	#s(approx (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
cost-diff	0	(/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
cost-diff	0	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 #s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (sqrt (+ x 1)) (fma.f64 #s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x))
cost-diff	0	(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
cost-diff	0	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
cost-diff	0	#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	254
0	64	247
1	106	246
2	206	240
3	586	240
4	2547	240
0	8621	233

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
#s(literal 1 binary64)
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
x
(sqrt.f64 x)
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (fma.f64 #s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
#s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
(sqrt.f64 x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
#s(approx (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)
x
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(sqrt.f64 x)
x
#s(literal 1/2 binary64)
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
#s(literal -1/8 binary64)

localize143.0ms (2.3%)

Memory

6.3MiB live, 158.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
accuracy	0.19921875	(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
accuracy	0.2109375	(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
accuracy	35.450122503567876	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
accuracy	0	(sqrt.f64 x)
accuracy	0.19921875	(/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
accuracy	35.450122503567876	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
accuracy	35.608259060723725	#s(approx (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
accuracy	0.1484375	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	33.66464159687949	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
accuracy	0	(sqrt.f64 x)
accuracy	26.43291607761928	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy	28.418720684633136	#s(approx (sqrt (+ x 1)) (fma.f64 #s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
accuracy	28.93827280622093	#s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64))
accuracy	0	#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
accuracy	0.0078125	(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
accuracy	0.015625	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
accuracy	0.12890625	(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))

Samples

70.0ms	109×	1	valid
41.0ms	147×	0	valid

Compiler

Compiled 430 to 85 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-mult: 23.0ms (27.2% of total)

ival-div: 17.0ms (20.1% of total)

ival-add: 12.0ms (14.2% of total)

ival-sqrt: 9.0ms (10.7% of total)

adjust: 7.0ms (8.3% of total)

ival-asinh: 6.0ms (7.1% of total)

ival-exp: 6.0ms (7.1% of total)

ival-sub: 4.0ms (4.7% of total)

exact: 1.0ms (1.2% of total)

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

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

series22.0ms (0.4%)

Memory

6.9MiB live, 44.5MiB allocated

Counts

21 → 78

Calls

Call 1

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

Outputs
(/ 1 (+ (sqrt x) (sqrt (+ 1 x))))
(/ 1 (+ 1 (sqrt x)))
(+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))
(+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))
(+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))
(+ 1 (sqrt x))
(+ 1 (+ (sqrt x) (* 1/2 x)))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
1/2
(+ 1/2 (* -1/8 x))
(* 1/2 (sqrt (/ 1 x)))
(sqrt (/ 1 x))
(/ 1 x)
(* -1/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(* -1/8 (sqrt (/ 1 x)))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)
(* 1/2 (sqrt x))
(sqrt x)
(* x (+ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* -1 (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))))
(* x (+ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x))))
(* x (+ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (+ (* -1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (+ (* 1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x))))))
(* x (+ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (+ (* -1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (+ (* -1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (pow x 2))) (+ (* 1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)))))))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x)
(/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x)
(* 2 (sqrt x))
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8))
(* -1/8 x)
(* x (- (* 1/2 (/ 1 x)) 1/8))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* -1 (* x (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* -1 (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))))))
(* -1 (* x (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (* -1 (/ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) x))))))
(* -1 (* x (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (* -1 (/ (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/4 (/ (* x (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (pow (sqrt -1) 2))) (* 1/4 (/ (* x (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (pow (sqrt -1) 2)))) x))) x))))))
(* -1 (* x (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (* -1 (/ (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/4 (/ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (+ (* -1/4 (/ (* x (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (pow (sqrt -1) 2))) (* 1/4 (/ (* x (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (pow (sqrt -1) 2))))) x))) x))))))
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x))
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6))))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))) x))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))
(* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))

Calls

3 calls:

Time

Variable

Point

Expression

13.0ms

((+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (+ (* -1/8 x) 1/2) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) (sqrt x) (/ -1/8 (sqrt x)))

5.0ms

-inf

((+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (+ (* -1/8 x) 1/2) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) (sqrt x) (/ -1/8 (sqrt x)))

3.0ms

inf

((+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (+ (* -1/8 x) 1/2) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) (sqrt x) (/ -1/8 (sqrt x)))

simplify84.0ms (1.4%)

Memory

-41.9MiB live, 94.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	315	1725
0	1066	1642

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

78 → 78

Calls

Call 1

Inputs
(/ 1 (+ (sqrt x) (sqrt (+ 1 x))))
(/ 1 (+ 1 (sqrt x)))
(+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))
(+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))
(+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))
(+ 1 (sqrt x))
(+ 1 (+ (sqrt x) (* 1/2 x)))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
1/2
(+ 1/2 (* -1/8 x))
(* 1/2 (sqrt (/ 1 x)))
(sqrt (/ 1 x))
(/ 1 x)
(* -1/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(* -1/8 (sqrt (/ 1 x)))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)
(* 1/2 (sqrt x))
(sqrt x)
(* x (+ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* -1 (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))))
(* x (+ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x))))
(* x (+ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (+ (* -1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (+ (* 1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x))))))
(* x (+ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (+ (* -1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (+ (* -1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (pow x 2))) (+ (* 1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)))))))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x)
(/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x)
(* 2 (sqrt x))
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8))
(* -1/8 x)
(* x (- (* 1/2 (/ 1 x)) 1/8))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* -1 (* x (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* -1 (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))))))
(* -1 (* x (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (* -1 (/ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) x))))))
(* -1 (* x (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (* -1 (/ (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/4 (/ (* x (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (pow (sqrt -1) 2))) (* 1/4 (/ (* x (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (pow (sqrt -1) 2)))) x))) x))))))
(* -1 (* x (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (* -1 (/ (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/4 (/ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (+ (* -1/4 (/ (* x (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (pow (sqrt -1) 2))) (* 1/4 (/ (* x (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (pow (sqrt -1) 2))))) x))) x))))))
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x))
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6))))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))) x))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))
(* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))

Outputs
(/ 1 (+ (sqrt x) (sqrt (+ 1 x))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(/ 1 (+ 1 (sqrt x)))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))
(fma.f64 (/.f64 x (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))
(fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) x) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))) x (neg.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(+ 1 (sqrt x))
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (+ (sqrt x) (* 1/2 x)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))
(+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
(+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(- 1 (sqrt x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/8 x))
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1/8 (sqrt (/ 1 (pow x 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 x x))
(* -1/8 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(* 1/2 (sqrt x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
(* x (+ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* -1 (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))))
(.f64 (.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))) x)
(* x (+ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x))))
(.f64 (fma.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) (/.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) x)) x)
(* x (+ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (+ (* -1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (+ (* 1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x))))))
(.f64 (fma.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) (fma.f64 #s(literal 5/4 binary64) (/.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) x) (.f64 #s(literal -1/4 binary64) (/.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) x)))) x)
(* x (+ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (+ (* -1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (+ (* -1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (pow x 2))) (+ (* 1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)))))))
(.f64 (fma.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) x) (fma.f64 #s(literal 5/4 binary64) (/.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) x) (.f64 (/.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) (*.f64 x x)) #s(literal -1/4 binary64))))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)
(/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x)
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 5/128 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(* 2 (sqrt x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)
(* -1/8 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/8 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (.f64 x x))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/8 binary64)) (*.f64 x x))
(* -1/8 x)
(*.f64 #s(literal -1/8 binary64) x)
(* x (- (* 1/2 (/ 1 x)) 1/8))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x)
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x)
(* -1 (* x (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* -1 (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))))))
(neg.f64 (.f64 (.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))))) x))
(* -1 (* x (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (* -1 (/ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) x))))))
(neg.f64 (.f64 (fma.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))) (/.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))))) x)) x))
(* -1 (* x (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (* -1 (/ (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/4 (/ (* x (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (pow (sqrt -1) 2))) (* 1/4 (/ (* x (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (pow (sqrt -1) 2)))) x))) x))))))
(neg.f64 (.f64 (fma.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 x (/.f64 (exp.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 0 binary64)) x) #s(literal -1 binary64) (exp.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))))) x))) x))
(* -1 (* x (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (* -1 (/ (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/4 (/ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (+ (* -1/4 (/ (* x (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (pow (sqrt -1) 2))) (* 1/4 (/ (* x (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (pow (sqrt -1) 2))))) x))) x))))))
(neg.f64 (.f64 (fma.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 x (/.f64 (exp.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 0 binary64) (.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64))) x) #s(literal -1 binary64) (exp.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 (.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))))) x))) x))
(* -1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/8 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x))
(neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/8 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6))))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))) x))
(neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (sqrt.f64 (pow.f64 x #s(literal 7 binary64)))) #s(literal 5/128 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1/16 binary64) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/8 binary64)))) x))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(neg.f64 (.f64 (fma.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(neg.f64 (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(neg.f64 (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) #s(literal 1/16 binary64) (fma.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))))) x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(neg.f64 (.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(neg.f64 (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(neg.f64 (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) #s(literal 1/16 binary64) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/8 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/8 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -5/128 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(neg.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(fma.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1/8 binary64) (.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(neg.f64 (.f64 (fma.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/8 binary64) (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) x))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))
(fma.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64)))
(* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(neg.f64 (.f64 (fma.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/8 binary64))) x))

rewrite184.0ms (3%)

Memory

33.8MiB live, 224.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	232
0	64	216
1	272	199
2	1935	193
0	8794	187

Stop Event

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

Counts

21 → 666

Calls

Call 1

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

Outputs
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) x) (.f64 #s(literal 1/4 binary64) x)) (.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(literal -1/16 binary64))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/512 binary64) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) x (-.f64 (/.f64 #s(literal 1/64 binary64) x) (.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(literal -1/16 binary64)))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/512 binary64) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 #s(literal 1/8 binary64) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) (neg.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal 1/8 binary64) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (neg.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/512 binary64)) (+.f64 (/.f64 #s(literal 1/64 binary64) x) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))))) (/.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/8 binary64)) (+.f64 (/.f64 #s(literal 1/64 binary64) x) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))))))
(-.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) x) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) x) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) (/.f64 (.f64 #s(literal 1/4 binary64) x) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) x) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) (/.f64 (/.f64 #s(literal 1/64 binary64) x) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/8 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/512 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) x) (.f64 #s(literal 1/4 binary64) x)) (.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(literal -1/16 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) x) (.f64 #s(literal 1/4 binary64) x)) (.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(literal -1/16 binary64)))))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) x (-.f64 (/.f64 #s(literal 1/64 binary64) x) (.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(literal -1/16 binary64))))) (/.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/512 binary64)) (fma.f64 #s(literal 1/4 binary64) x (-.f64 (/.f64 #s(literal 1/64 binary64) x) (.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(literal -1/16 binary64))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (neg.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (neg.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (-.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) (exp.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))
(/.f64 (sqrt.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(sinh.f64 (asinh.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(fabs.f64 (neg.f64 (sqrt.f64 x)))
(fabs.f64 (sqrt.f64 x))
(exp.f64 (log.f64 (sqrt.f64 x)))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x))))
(*.f64 #s(literal 1/8 binary64) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal -8 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1/8 binary64) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 x)))))
(/.f64 #s(literal 1/8 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal -1/8 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal -8 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -8 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal -8 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -8 binary64)))
(neg.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 x) #s(literal -8 binary64))) #s(literal -1 binary64)))

eval105.0ms (1.7%)

Memory: -10.8MiB live, 221.3MiB allocated
Compiler: Compiled 26 920 to 3 220 computations (88% saved)

prune24.0ms (0.4%)

Memory

16.7MiB live, 60.0MiB allocated

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	833	6	839
Fresh	2	0	2
Picked	0	5	5
Done	0	3	3
Total	835	14	849

Accuracy

100.0%

Counts

849 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.7%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	55.7%	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x))
✓	57.1%	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x))
✓	54.9%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
	19.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 (.f64 (sqrt.f64 x) #s(literal -8 binary64)) x) x) (.f64 x (.f64 (.f64 (sqrt.f64 x) #s(literal -8 binary64)) x))))
✓	44.4%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
✓	47.2%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
▶	47.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
✓	47.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
▶	99.7%	#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))
▶	99.8%	#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
✓	99.8%	#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
▶	58.2%	#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))))
▶	56.7%	#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))))

Compiler

Compiled 502 to 321 computations (36.1% saved)

simplify195.0ms (3.2%)

Memory

-4.6MiB live, 188.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)))
cost-diff	0	#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))
cost-diff	2304	(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
cost-diff	0	(+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64))))
cost-diff	0	#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))))
cost-diff	0	#s(approx (sqrt (+ 1 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
cost-diff	0	(+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)))
cost-diff	0	#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
cost-diff	0	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
cost-diff	0	(sqrt.f64 (sqrt.f64 x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
cost-diff	0	#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
cost-diff	2112	(fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	354
0	67	296
1	113	292
2	274	268
3	822	268
4	3772	268
0	8079	268

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
#s(literal 1 binary64)
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
x
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)
x
#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)))
#s(literal 1 binary64)
(+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (sqrt (+ 1 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
(sqrt.f64 x)
#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))
(+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 x))
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
#s(literal -1/8 binary64)
x
#s(literal 1/2 binary64)
(sqrt.f64 x)
#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))
#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
#s(literal 1 binary64)
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
x
(sqrt.f64 x)

localize137.0ms (2.2%)

Memory

-0.4MiB live, 191.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
accuracy	0.07421875	(sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
accuracy	0.09375	(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
accuracy	0.12890625	(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)))
accuracy	0.00390625	(+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64))
accuracy	0.0390625	(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 x))
accuracy	0.12890625	(/.f64 #s(literal 1 binary64) #s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64))))
accuracy	28.411392732769187	#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))
accuracy	0	#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))))
accuracy	0.015625	(+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy	0.12890625	(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)))
accuracy	26.741344147808785	#s(approx (sqrt (+ 1 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
accuracy	0	(sqrt.f64 x)
accuracy	0.2109375	(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
accuracy	33.66464159687949	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
accuracy	0.0078125	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
accuracy	0.08203125	(fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
accuracy	0.125	(sqrt.f64 (sqrt.f64 x))
accuracy	0.12890625	(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Samples

67.0ms	109×	1	valid
39.0ms	147×	0	valid

Compiler

Compiled 612 to 82 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-add: 18.0ms (22.1% of total)

ival-mult: 16.0ms (19.7% of total)

ival-sqrt: 13.0ms (16% of total)

ival-div: 9.0ms (11.1% of total)

adjust: 8.0ms (9.8% of total)

ival-asinh: 7.0ms (8.6% of total)

ival-exp: 6.0ms (7.4% of total)

ival-sub: 4.0ms (4.9% of total)

exact: 1.0ms (1.2% of total)

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

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

series47.0ms (0.8%)

Memory

-3.9MiB live, 77.6MiB allocated

Counts

21 → 72

Calls

Call 1

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

Outputs
(+ 1 (sqrt x))
(+ 1 (+ (sqrt x) (* 1/2 x)))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
(/ 1 (+ (sqrt x) (sqrt (+ 1 x))))
(/ 1 (+ 1 (sqrt x)))
(+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))
(+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))
(+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))
(pow (* 1 x) 1/4)
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(* 1/2 (sqrt (/ 1 x)))
(sqrt x)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+ 1 (* 1/4 x))
(+ 1 (* x (+ 1/4 (* -3/32 x))))
(+ 1 (* x (+ 1/4 (* x (- (* 7/128 x) 3/32)))))
(+ (sqrt x) (* 1/2 x))
(+ (sqrt x) (* x (+ 1/2 (* -1/8 x))))
(* 2 (sqrt x))
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
(* x (+ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* -1 (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))))
(* x (+ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x))))
(* x (+ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (+ (* -1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (+ (* 1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x))))))
(* x (+ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (+ (* -1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (+ (* -1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (pow x 2))) (+ (* 1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)))))))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x)
(/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(* -1/8 (pow x 2))
(* (pow x 2) (- (+ (sqrt (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) 1/8))
(* (pow x 2) (- (+ (sqrt (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) 1/8))
(+ (* 1/4 (pow (/ 1 (pow x 3)) 1/4)) (pow (* 1 x) 1/4))
(+ (* -3/32 (pow (/ 1 (pow x 7)) 1/4)) (+ (* 1/4 (pow (/ 1 (pow x 3)) 1/4)) (pow (* 1 x) 1/4)))
(+ (* -3/32 (pow (/ 1 (pow x 7)) 1/4)) (+ (* 7/128 (pow (/ 1 (pow x 11)) 1/4)) (+ (* 1/4 (pow (/ 1 (pow x 3)) 1/4)) (pow (* 1 x) 1/4))))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* -1 (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))))))
(* -1 (* x (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (* -1 (/ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) x))))))
(* -1 (* x (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (* -1 (/ (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/4 (/ (* x (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (pow (sqrt -1) 2))) (* 1/4 (/ (* x (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (pow (sqrt -1) 2)))) x))) x))))))
(* -1 (* x (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (* -1 (/ (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/4 (/ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (+ (* -1/4 (/ (* x (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (pow (sqrt -1) 2))) (* 1/4 (/ (* x (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (pow (sqrt -1) 2))))) x))) x))))))
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x))
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6))))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))) x))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* (pow x 2) (- (* -1 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1/2) x)) 1/8))
(* (pow x 2) (- (* -1 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (+ 1/2 (/ 1 x))) x)) 1/8))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/4 (/ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/4 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 3/32 (/ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -3/32 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 7/128 (/ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -1/4 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)))

Calls

3 calls:

Time

Variable

Point

Expression

22.0ms

((+ (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (+ x 1))) (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/ 1 (+ (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (+ x 1)))) (sqrt (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (sqrt x) (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x)) (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x)) (+ (+ (* (+ (* -1/8 x) 1/2) x) (sqrt x)) 1) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)) (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/ 1 (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))) (sqrt (sqrt (+ x 1))) (sqrt (+ x 1)) (+ (* (+ (* -1/8 x) 1/2) x) (sqrt x)))

15.0ms

-inf

((+ (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (+ x 1))) (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/ 1 (+ (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (+ x 1)))) (sqrt (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (sqrt x) (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x)) (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x)) (+ (+ (* (+ (* -1/8 x) 1/2) x) (sqrt x)) 1) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)) (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/ 1 (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))) (sqrt (sqrt (+ x 1))) (sqrt (+ x 1)) (+ (* (+ (* -1/8 x) 1/2) x) (sqrt x)))

9.0ms

inf

((+ (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (+ x 1))) (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/ 1 (+ (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (+ x 1)))) (sqrt (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (sqrt x) (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x)) (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x)) (+ (+ (* (+ (* -1/8 x) 1/2) x) (sqrt x)) 1) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)) (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/ 1 (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))) (sqrt (sqrt (+ x 1))) (sqrt (+ x 1)) (+ (* (+ (* -1/8 x) 1/2) x) (sqrt x)))

simplify122.0ms (2%)

Memory

5.8MiB live, 81.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	356	1804
0	1183	1708

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

72 → 72

Calls

Call 1

Inputs
(+ 1 (sqrt x))
(+ 1 (+ (sqrt x) (* 1/2 x)))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
(/ 1 (+ (sqrt x) (sqrt (+ 1 x))))
(/ 1 (+ 1 (sqrt x)))
(+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))
(+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))
(+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))
(pow (* 1 x) 1/4)
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(* 1/2 (sqrt (/ 1 x)))
(sqrt x)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+ 1 (* 1/4 x))
(+ 1 (* x (+ 1/4 (* -3/32 x))))
(+ 1 (* x (+ 1/4 (* x (- (* 7/128 x) 3/32)))))
(+ (sqrt x) (* 1/2 x))
(+ (sqrt x) (* x (+ 1/2 (* -1/8 x))))
(* 2 (sqrt x))
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
(* x (+ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* -1 (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))))
(* x (+ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x))))
(* x (+ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (+ (* -1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (+ (* 1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x))))))
(* x (+ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (+ (* -1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (+ (* -1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (pow x 2))) (+ (* 1/4 (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (/ (exp (* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)))))))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x)
(/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(* -1/8 (pow x 2))
(* (pow x 2) (- (+ (sqrt (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) 1/8))
(* (pow x 2) (- (+ (sqrt (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) 1/8))
(+ (* 1/4 (pow (/ 1 (pow x 3)) 1/4)) (pow (* 1 x) 1/4))
(+ (* -3/32 (pow (/ 1 (pow x 7)) 1/4)) (+ (* 1/4 (pow (/ 1 (pow x 3)) 1/4)) (pow (* 1 x) 1/4)))
(+ (* -3/32 (pow (/ 1 (pow x 7)) 1/4)) (+ (* 7/128 (pow (/ 1 (pow x 11)) 1/4)) (+ (* 1/4 (pow (/ 1 (pow x 3)) 1/4)) (pow (* 1 x) 1/4))))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* -1 (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))))))
(* -1 (* x (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (* -1 (/ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) x))))))
(* -1 (* x (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (* -1 (/ (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/4 (/ (* x (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (pow (sqrt -1) 2))) (* 1/4 (/ (* x (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (pow (sqrt -1) 2)))) x))) x))))))
(* -1 (* x (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (+ (* -1 (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (* -1 (/ (+ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/4 (/ (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (+ (* -1/4 (/ (* x (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (pow (sqrt -1) 2))) (* 1/4 (/ (* x (exp (* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (pow (sqrt -1) 2))))) x))) x))))))
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x))
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6))))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))) x))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* (pow x 2) (- (* -1 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1/2) x)) 1/8))
(* (pow x 2) (- (* -1 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (+ 1/2 (/ 1 x))) x)) 1/8))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/4 (/ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/4 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 3/32 (/ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -3/32 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 7/128 (/ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -1/4 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)))

Outputs
(+ 1 (sqrt x))
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (+ (sqrt x) (* 1/2 x)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))
(+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
(+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64))
(/ 1 (+ (sqrt x) (sqrt (+ 1 x))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/ 1 (+ 1 (sqrt x)))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))
(fma.f64 (/.f64 x (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))
(fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) x) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))) x (neg.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(- 1 (sqrt x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(sqrt x)
(sqrt.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* 1/4 x))
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/4 (* -3/32 x))))
(fma.f64 (fma.f64 #s(literal -3/32 binary64) x #s(literal 1/4 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/4 (* x (- (* 7/128 x) 3/32)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) x #s(literal -3/32 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1 binary64))
(+ (sqrt x) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 x))
(+ (sqrt x) (* x (+ 1/2 (* -1/8 x))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 x))
(* 2 (sqrt x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) x)
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) x)
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) x)
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(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/8 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/8 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -5/128 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f64 (neg.f64 x) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 (neg.f64 x) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(.f64 (neg.f64 x) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) #s(literal 1/16 binary64) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))))))
(* (pow x 2) (- (* -1 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1/2) x)) 1/8))
(.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/8 binary64)) (.f64 x x))
(* (pow x 2) (- (* -1 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (+ 1/2 (/ 1 x))) x)) 1/8))
(.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1 binary64) #s(literal -1/8 binary64)) (.f64 x x))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/4 (/ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))
(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) x) #s(literal 1/4 binary64) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/4 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 3/32 (/ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) x) #s(literal 3/32 binary64) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1/4 binary64))) x) #s(literal -1 binary64) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -3/32 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 7/128 (/ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -1/4 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1/4 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) x) #s(literal 7/128 binary64) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -3/32 binary64))) x))) x) #s(literal -1 binary64) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))

rewrite494.0ms (8.1%)

Memory

-66.8MiB live, 195.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	315
0	67	253
1	291	220
2	2172	193
0	8936	193

Stop Event

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

Counts

21 → 799

Calls

Call 1

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

Outputs
(*.f64 (neg.f64 (pow.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (-.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (asinh.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) #s(literal -3 binary64))
(pow.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 x) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x))) (.f64 (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #s(literal 4 binary64))
(/.f64 (-.f64 x (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) x) #s(literal 1 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (.f64 (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x))))
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (.f64 (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (pow.f64 x #s(literal 3/2 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x))))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal 2 binary64))
(/.f64 (pow.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x))) (neg.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)))))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x))))
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(fma.f64 x (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 x))
(-.f64 (/.f64 x (-.f64 (sqrt.f64 x) (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (sqrt.f64 x) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (+.f64 x (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (+.f64 x (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 x))) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 x))))
(-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) (sqrt.f64 x))
(-.f64 (sqrt.f64 x) (*.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))) x))
(-.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))))
(+.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))

eval233.0ms (3.8%)

Memory: 6.5MiB live, 200.6MiB allocated
Compiler: Compiled 36 976 to 3 628 computations (90.2% saved)

prune24.0ms (0.4%)

Memory

29.5MiB live, 67.7MiB allocated

Pruning

14 alts after pruning (1 fresh and 13 done)

	Pruned	Kept	Total
New	864	0	864
Fresh	0	1	1
Picked	0	5	5
Done	0	8	8
Total	864	14	878

Accuracy

100.0%

Counts

878 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.7%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	55.7%	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x))
✓	57.1%	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x))
✓	54.9%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
	19.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 (.f64 (sqrt.f64 x) #s(literal -8 binary64)) x) x) (.f64 x (.f64 (.f64 (sqrt.f64 x) #s(literal -8 binary64)) x))))
✓	44.4%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
✓	47.2%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
✓	47.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
✓	47.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
✓	99.7%	#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))
✓	99.8%	#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
✓	99.8%	#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
✓	58.2%	#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))))
✓	56.7%	#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))))

Compiler

Compiled 759 to 330 computations (56.5% saved)

regimes14.0ms (0.2%)

Memory

-10.1MiB live, 26.6MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (sqrt (+ 1 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))))
#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))))
#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 (.f64 (sqrt.f64 x) #s(literal -8 binary64)) x) x) (.f64 x (.f64 (.f64 (sqrt.f64 x) #s(literal -8 binary64)) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 x (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) (.f64 x (/.f64 x (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 (.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64))) (.f64 x (exp.f64 (*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64)))))

Outputs
#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))

Calls

2 calls:

7.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
6.0ms	x

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes8.0ms (0.1%)

Memory

-10.6MiB live, 26.8MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
3.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
99.3%	2	`x`
99.3%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

3.0ms	x
2.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
98.6%	2	`x`
98.6%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.5%	2	`x`
98.5%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.4%	2	`x`
98.4%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory

-45.7MiB live, 6.1MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
57.1%	1	`x`
57.1%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
54.9%	1	`x`
54.9%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.047583221719833e-5	0.0001366981446153659

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.25709408936179434	0.647518106089487

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.25709408936179434	0.647518106089487

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.25709408936179434	0.647518106089487

Compiler

Compiled 10 to 10 computations (0% saved)

simplify55.0ms (0.9%)

Memory

8.5MiB live, 47.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	191
1	59	191
2	65	191
3	73	191
4	96	191
5	121	191
6	133	191
7	150	191
8	167	191
9	185	191
10	195	191
11	203	191

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 1/2 binary64)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x)))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 1/2 binary64)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x)))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 1/2 binary64)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)))
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))

Outputs
#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
#s(approx (+ (* (- 1 x) (exp (* (asinh (sqrt x)) -1))) (* x (exp (* (asinh (sqrt x)) -1)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 1/2 binary64)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x)))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 1/2 binary64)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x)))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 1/2 binary64)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x)))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 1/2 binary64)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)))
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))

soundness529.0ms (8.6%)

Memory

30.1MiB live, 303.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	375	3428
0	1317	3348
0	6	16
0	10	16
1	44	16
2	309	16
3	3877	16
0	9397	16
0	45	232
0	64	216
1	272	199
2	1935	193
0	8794	187
0	113	461
0	338	427

Stop Event

1×	fuel
1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Compiler

Compiled 290 to 133 computations (54.1% saved)

preprocess90.0ms (1.5%)

Memory: -28.6MiB live, 126.7MiB allocated
Compiler: Compiled 414 to 118 computations (71.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	19
1	18	17
2	44	16
3	91	16
4	170	16
5	221	16
6	254	16
0	6	7
0	10	7
1	15	7
2	19	7
3	28	7
4	43	7
5	78	7
6	118	7
7	140	7
8	144	7
0	144	7

Iter	Nodes	Cost
0	47	191
1	59	191
2	65	191
3	73	191
4	96	191
5	121	191
6	133	191
7	150	191
8	167	191
9	185	191
10	195	191
11	203	191

Iter	Nodes	Cost
0	8	19
1	18	17
2	44	16
3	91	16
4	170	16
5	221	16
6	254	16
0	6	7
0	10	7
1	15	7
2	19	7
3	28	7
4	43	7
5	78	7
6	118	7
7	140	7
8	144	7
0	144	7

Iter	Nodes	Cost
0	47	191
1	59	191
2	65	191
3	73	191
4	96	191
5	121	191
6	133	191
7	150	191
8	167	191
9	185	191
10	195	191
11	203	191

start0.0ms (0%)

analyze1.0ms (0%)

sample1.4s (23.2%)

explain202.0ms (3.3%)

preprocess129.0ms (2.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify8.0ms (0.1%)

localize69.0ms (1.1%)

series5.0ms (0.1%)

simplify21.0ms (0.3%)

rewrite308.0ms (5%)

eval42.0ms (0.7%)

prune13.0ms (0.2%)

simplify141.0ms (2.3%)

localize247.0ms (4%)

series189.0ms (3.1%)

simplify90.0ms (1.5%)

rewrite313.0ms (5.1%)

eval212.0ms (3.5%)

prune31.0ms (0.5%)

simplify152.0ms (2.5%)

localize143.0ms (2.3%)

series22.0ms (0.4%)

simplify84.0ms (1.4%)

rewrite184.0ms (3%)

eval105.0ms (1.7%)

prune24.0ms (0.4%)

simplify195.0ms (3.2%)

localize137.0ms (2.2%)

series47.0ms (0.8%)

simplify122.0ms (2%)

rewrite494.0ms (8.1%)

eval233.0ms (3.8%)

prune24.0ms (0.4%)

regimes14.0ms (0.2%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify55.0ms (0.9%)

soundness529.0ms (8.6%)

preprocess90.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	19
1	18	17
2	44	16
3	91	16
4	170	16
5	221	16
6	254	16
0	6	7
0	10	7
1	15	7
2	19	7
3	28	7
4	43	7
5	78	7
6	118	7
7	140	7
8	144	7
0	144	7

Iter	Nodes	Cost
0	47	191
1	59	191
2	65	191
3	73	191
4	96	191
5	121	191
6	133	191
7	150	191
8	167	191
9	185	191
10	195	191
11	203	191