Metrics for Main:bigenough3 from C

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

sample1.3s (20.9%)

Memory

43.5MiB live, 1 686.9MiB allocated; 370ms collecting garbage

Samples

604.0ms	4 134×	1	valid
291.0ms	4 122×	0	valid
0.0ms	10×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 605.0ms

ival-add: 191.0ms (31.6% of total)

ival-sqrt: 187.0ms (30.9% of total)

adjust: 146.0ms (24.2% of total)

ival-sub: 67.0ms (11.1% of total)

ival-true: 6.0ms (1% of total)

exact: 5.0ms (0.8% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain150.0ms (2.5%)

Memory

-24.9MiB live, 128.1MiB allocated; 51ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
127	-	-	`(-.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	127	0

Confusion

	Predicted +	Predicted -
+	127	0
-	0	129

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	127	0	0
-	0	0	129

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	129
1	127

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms	252×	1	valid
13.0ms	260×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-sqrt: 11.0ms (41.6% of total)

adjust: 7.0ms (26.5% of total)

ival-add: 4.0ms (15.1% of total)

ival-sub: 4.0ms (15.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess12.0ms (0.2%)

Memory

25.7MiB live, 25.7MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	11	19
0	6	7
0	10	7
1	13	7
0	13	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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.9%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

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	13	18
0	13	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)

localize67.0ms (1.1%)

Memory

-11.0MiB live, 33.9MiB allocated; 9ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.0078125	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
accuracy	29.49984798986697	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Samples

54.0ms	126×	1	valid
6.0ms	130×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-add: 42.0ms (79.4% of total)

ival-sqrt: 6.0ms (11.3% of total)

adjust: 3.0ms (5.7% of total)

ival-sub: 2.0ms (3.8% 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

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

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))
2.0ms	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))

simplify211.0ms (3.5%)

Memory

-26.4MiB live, 305.7MiB allocated; 48ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	451
1	331	393
2	1209	387
3	4903	387
0	8229	353

Stop Event

1×	iter limit
1×	node limit

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

rewrite162.0ms (2.7%)

Memory

23.9MiB live, 213.1MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	16
1	42	16
2	271	16
3	2932	16
0	9099	16

Stop Event

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

Counts

4 → 281

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 (-.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 (-.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 (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)))
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(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sinh.f64 (acosh.f64 x))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64))))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(/.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (sinh.f64 (acosh.f64 x)) (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64))))) (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sinh.f64 (acosh.f64 x))) (.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (hypot.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (sinh.f64 (acosh.f64 (*.f64 x x))) (sinh.f64 (acosh.f64 x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(sin.f64 (acos.f64 x))
(cosh.f64 (asinh.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(fabs.f64 (-.f64 #s(literal 1 binary64) x))
(cos.f64 (asin.f64 x))
(hypot.f64 (fabs.f64 (hypot.f64 (sqrt.f64 x) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(hypot.f64 (hypot.f64 (sqrt.f64 x) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (fabs.f64 (hypot.f64 (sqrt.f64 x) x)))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (hypot.f64 (sqrt.f64 x) x))
(exp.f64 (log1p.f64 x))
(+.f64 (cosh.f64 (log1p.f64 x)) (sinh.f64 (log1p.f64 x)))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (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 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 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))
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
(exp.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x))))

eval83.0ms (1.4%)

Memory: -9.2MiB live, 80.2MiB allocated; 10ms collecting garbage
Compiler: Compiled 5 730 to 1 085 computations (81.1% saved)

prune11.0ms (0.2%)

Memory

30.7MiB live, 30.7MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	296	10	306
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	296	11	307

Accuracy

99.9%

Counts

307 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.9%	(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))
✓	53.9%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
▶	49.8%	(-.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))
▶	51.3%	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
	3.5%	(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))
▶	49.2%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
	51.4%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
	49.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (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) (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))
	51.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (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))
▶	49.8%	#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))
	52.1%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))

Compiler

Compiled 345 to 272 computations (21.2% saved)

simplify226.0ms (3.8%)

Memory

-35.7MiB live, 110.7MiB allocated; 56ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
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	#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	3	(/.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	(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
cost-diff	0	#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #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	(sqrt.f64 x)
cost-diff	0	(sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))
cost-diff	3	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	179
0	47	170
1	71	170
2	182	170
3	603	170
4	1319	170
5	1773	170
6	2648	166
7	3511	166
8	4145	166
9	4646	166
10	4918	166
11	5153	166
12	5327	166
13	5795	166
14	6015	166
15	6416	166
16	6788	166
17	7274	166
0	8270	164

Stop Event

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

Calls

Call 1

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

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

localize181.0ms (3%)

Memory

10.6MiB live, 197.8MiB allocated; 37ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.021816259768442016	(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	0.12890625	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	0.20703125	(/.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	32.00130753031912	#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	0.0	(sqrt.f64 x)
accuracy	0.00390625	(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	29.49984798986697	(-.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	32.186638787193004	#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	0.0	(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
accuracy	0.0	(sqrt.f64 x)
accuracy	29.49984798986697	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy	30.309886990938246	#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
accuracy	0.0	(sqrt.f64 x)
accuracy	29.49984798986697	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
accuracy	30.69993433416954	#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.0078125	(sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
accuracy	0.25	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
accuracy	29.49984798986697	(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))

Samples

60.0ms	130×	0	valid
57.0ms	126×	1	valid

Compiler

Compiled 147 to 26 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-hypot: 37.0ms (40.6% of total)

adjust: 12.0ms (13.2% of total)

ival-mult: 12.0ms (13.2% of total)

ival-add: 10.0ms (11% of total)

ival-sqrt: 8.0ms (8.8% of total)

ival-sub: 8.0ms (8.8% of total)

ival-div: 4.0ms (4.4% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory

15.4MiB live, 15.4MiB allocated; 0ms collecting garbage

Counts

17 → 52

Calls

Call 1

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

Outputs
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))
x
(* x (+ 1 (/ 1 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))))))))
(* 1/2 x)
(* x (+ 1/2 (/ 1 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))))
(* 1/2 (sqrt x))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (- (pow (sqrt -1) 2) (/ 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)))))))
(* -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))

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((+ (* (sqrt x) (sqrt x)) 1) (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* 1/2 x) 1) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (+ (* -1/8 x) 1/2) (/ (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) x) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (sqrt (/ 1 x)))
3.0ms	x	@	0	((+ (* (sqrt x) (sqrt x)) 1) (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* 1/2 x) 1) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (+ (* -1/8 x) 1/2) (/ (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) x) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (sqrt (/ 1 x)))
3.0ms	x	@	inf	((+ (* (sqrt x) (sqrt x)) 1) (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* 1/2 x) 1) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (+ (* -1/8 x) 1/2) (/ (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) x) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (sqrt (/ 1 x)))

Time

Variable

Point

Expression

7.0ms

-inf

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

3.0ms

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

3.0ms

inf

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

simplify206.0ms (3.4%)

Memory

29.9MiB live, 211.6MiB allocated; 43ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	667
1	446	585
2	1676	576
3	7832	576
0	8837	533

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 51

Calls

Call 1

Inputs
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))
x
(* x (+ 1 (/ 1 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))))))))
(* 1/2 x)
(* x (+ 1/2 (/ 1 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))))
(* 1/2 (sqrt x))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (- (pow (sqrt -1) 2) (/ 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)))))))
(* -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))

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

rewrite271.0ms (4.5%)

Memory

-47.9MiB live, 294.1MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	149
0	47	140
1	203	136
2	1384	136
0	8707	133

Stop Event

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

Counts

17 → 464

Calls

Call 1

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

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

eval111.0ms (1.8%)

Memory: 27.4MiB live, 174.8MiB allocated; 14ms collecting garbage
Compiler: Compiled 19 531 to 2 475 computations (87.3% saved)

prune25.0ms (0.4%)

Memory

14.6MiB live, 59.4MiB allocated; 4ms collecting garbage

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	634	15	649
Fresh	5	0	5
Picked	1	4	5
Done	0	1	1
Total	640	20	660

Accuracy

100.0%

Counts

660 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.2%	(/.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64)) x) (+.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)))
✓	53.9%	(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))
✓	53.9%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
	3.5%	(-.f64 (sqrt.f64 #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) (sqrt.f64 x))
✓	49.8%	(-.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))
✓	51.3%	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
✓	49.2%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
▶	49.7%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
▶	54.0%	(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 (asinh.f64 (sqrt.f64 x)))) (/.f64 x (exp.f64 (asinh.f64 (sqrt.f64 x)))))
	51.4%	#s(approx (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
	49.7%	#s(approx (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (/.f64 (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) 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))
	51.6%	#s(approx (- (sqrt (+ (* (sqrt x) (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))
	52.1%	#s(approx (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
▶	29.1%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) x (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x)))
	28.1%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x (.f64 x (neg.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))) (*.f64 x x)))
▶	50.8%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 x)))
	49.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.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)))) x))
	49.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.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))))) x))
	49.8%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x))
▶	52.1%	#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))

Compiler

Compiled 753 to 518 computations (31.2% saved)

simplify69.0ms (1.1%)

Memory

-5.5MiB live, 41.1MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 x))
cost-diff	0	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 x)))
cost-diff	1	(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))
cost-diff	5	(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x))
cost-diff	0	(/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))
cost-diff	0	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) x (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x)))
cost-diff	3	(/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) x (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x))
cost-diff	5	(fma.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) x (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 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	(sqrt.f64 x)
cost-diff	0	(neg.f64 (sqrt.f64 x))
cost-diff	0	#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
cost-diff	1	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
cost-diff	0	(exp.f64 (asinh.f64 (sqrt.f64 x)))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 (asinh.f64 (sqrt.f64 x))))
cost-diff	10	(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 (asinh.f64 (sqrt.f64 x)))) (/.f64 x (exp.f64 (asinh.f64 (sqrt.f64 x)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	272
0	59	271
1	101	261
2	253	234
3	1151	224
4	4960	217
0	8052	212

Stop Event

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

Calls

Call 1

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

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

localize166.0ms (2.8%)

Memory

-14.9MiB live, 130.2MiB allocated; 11ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.18359375	(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x))
accuracy	0.23828125	(/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))
accuracy	0.25619125976844204	(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 x))
accuracy	31.364831647531933	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 x)))
accuracy	0.15234375	(.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
accuracy	0.23828125	(/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))
accuracy	18.940608563654763	(/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) x (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x))
accuracy	31.364831647531933	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) x (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.20703125	(/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
accuracy	32.00130753031912	#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	32.326186855720515	#s(approx (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.0	(neg.f64 (sqrt.f64 x))
accuracy	0.00390625	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
accuracy	30.69993433416954	#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
accuracy	0.26953125	(/.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 (asinh.f64 (sqrt.f64 x))))
accuracy	0.28515625	(/.f64 x (exp.f64 (asinh.f64 (sqrt.f64 x))))
accuracy	2.4721877133982386	(exp.f64 (asinh.f64 (sqrt.f64 x)))
accuracy	29.416638335224484	(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 (asinh.f64 (sqrt.f64 x)))) (/.f64 x (exp.f64 (asinh.f64 (sqrt.f64 x)))))

Samples

106.0ms	126×	1	valid
35.0ms	130×	0	valid

Compiler

Compiled 214 to 34 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-sub: 35.0ms (34.5% of total)

ival-div: 16.0ms (15.8% of total)

adjust: 12.0ms (11.8% of total)

ival-mult: 9.0ms (8.9% of total)

ival-sqrt: 7.0ms (6.9% of total)

ival-add: 7.0ms (6.9% of total)

ival-exp: 6.0ms (5.9% of total)

ival-asinh: 6.0ms (5.9% of total)

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

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

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

exact: 0.0ms (0% of total)

series88.0ms (1.5%)

Memory

-5.5MiB live, 39.0MiB allocated; 6ms collecting garbage

Counts

22 → 109

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

36.0ms

inf

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

32.0ms

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

19.0ms

-inf

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

simplify188.0ms (3.1%)

Memory

27.6MiB live, 161.9MiB allocated; 19ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	338	2752
1	1024	2191
2	4027	1866
0	9006	1784

Stop Event

1×	iter limit
1×	node limit

Counts

109 → 109

Calls

Call 1

Inputs
(/ 1 (+ (sqrt x) (sqrt (+ 1 x))))
(+ (* -1 (/ x (+ (sqrt x) (sqrt (+ 1 x))))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))
1
(+ 1 (* -1 x))
(+ (sqrt x) (sqrt (+ 1 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 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(* -1 (sqrt x))
(sqrt 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))
(* -1/8 (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))
(* 1/8 (sqrt x))
(+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))
(* 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 x)
(/ (+ (* 1/8 x) (* 1/2 (pow x 2))) (pow x 2))
(/ (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)
(/ x (+ (sqrt x) (sqrt (+ 1 x))))
(* 1/2 (sqrt (pow x 3)))
(/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))
(- (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))))
(- (+ (/ 1/8 (* (pow x 2) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (/ 1/4 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))))
(- (+ (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* 1/8 (/ 1 (* (pow x 2) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))))) (+ (/ 1/4 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 5/64 (/ 1 (* (pow x 3) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))))))
(* -1 (/ x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))
(* x (- (/ 1 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))))
(* x (- (* 5/4 (/ 1 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))))
(* x (- (* 5/4 (/ 1 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (+ (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (* (pow x 2) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))))))
(* -1 x)
(* x (- (/ 1 x) 1))
(exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))
(+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (* 1/4 (/ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) x)))
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(* 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)
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(+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
1/2
(* x (+ (* 1/2 (/ 1 x)) (* 1/8 (/ 1 (pow x 2)))))
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(* x (- (+ (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* 1/8 (/ 1 (* (pow x 2) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))))) (+ (/ 1/4 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 5/64 (/ 1 (* (pow x 3) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))))))
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(* -1 (* x (- (/ -1/4 (* x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 2)))) (+ (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (+ (* 1/8 (/ 1 (* (pow x 2) (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 4))))) (* 5/64 (/ 1 (* (pow x 3) (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 6))))))))))

Outputs
(/ 1 (+ (sqrt x) (sqrt (+ 1 x))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(+ (* -1 (/ x (+ (sqrt x) (sqrt (+ 1 x))))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))
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1
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(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
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(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 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))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (neg.f64 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))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) #s(literal -5/128 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (neg.f64 x))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))
(* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 (pow x 3))))))
(.f64 (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) x)
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 (pow x 3)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (* 1/2 (/ 1 x)))))
(.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))
(* -1 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (* 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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/ x (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* x (+ (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* 1/4 (/ 1 (* x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 2)))))))
(.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (* x (- (/ -1/4 (* x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 2)))) (+ (/ 1/8 (* (pow x 2) (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 4)))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))))))
(.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) x) (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x)))))
(* -1 (* x (- (/ -1/4 (* x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 2)))) (+ (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (+ (* 1/8 (/ 1 (* (pow x 2) (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 4))))) (* 5/64 (/ 1 (* (pow x 3) (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 6))))))))))
(.f64 (neg.f64 x) (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) x) (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x)))) (/.f64 (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x))))))

rewrite229.0ms (3.8%)

Memory

-36.0MiB live, 266.5MiB allocated; 97ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	238
0	59	237
1	226	220
2	1684	179
0	8207	175

Stop Event

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

Counts

22 → 959

Calls

Call 1

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

Outputs
(pow.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) #s(literal -1 binary64))
(/.f64 (+.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (neg.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))))))
(/.f64 (+.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (hypot.f64 (sqrt.f64 x) x)))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) x) (*.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) x)) (exp.f64 (asinh.f64 (sqrt.f64 x))))) (neg.f64 (exp.f64 (asinh.f64 (sqrt.f64 x)))))
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1 binary64) x)) (exp.f64 (asinh.f64 (sqrt.f64 x))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (neg.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 x))) (neg.f64 (neg.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (exp.f64 (asinh.f64 (sqrt.f64 x)))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (pow.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 #s(literal 1 binary64) x) x)) (pow.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 (asinh.f64 (sqrt.f64 x)))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x))) (neg.f64 (neg.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) x) (*.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) x)))) (neg.f64 (neg.f64 (pow.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (neg.f64 (exp.f64 (asinh.f64 (sqrt.f64 x)))) (*.f64 (neg.f64 (exp.f64 (asinh.f64 (sqrt.f64 x)))) (neg.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (pow.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (.f64 (neg.f64 (exp.f64 (asinh.f64 (sqrt.f64 x)))) (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 (neg.f64 (exp.f64 (asinh.f64 (sqrt.f64 x)))) (exp.f64 (asinh.f64 (sqrt.f64 x))))))
(/.f64 (neg.f64 (fma.f64 x (neg.f64 (exp.f64 (asinh.f64 (sqrt.f64 x)))) (.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) (neg.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) (neg.f64 (exp.f64 (asinh.f64 (sqrt.f64 x)))))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (exp.f64 (asinh.f64 (sqrt.f64 x)))) (*.f64 (neg.f64 (exp.f64 (asinh.f64 (sqrt.f64 x)))) (neg.f64 x)))) (neg.f64 (pow.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (exp.f64 (asinh.f64 (sqrt.f64 x))) (.f64 (neg.f64 (exp.f64 (asinh.f64 (sqrt.f64 x)))) x))) (neg.f64 (.f64 (neg.f64 (exp.f64 (asinh.f64 (sqrt.f64 x)))) (exp.f64 (asinh.f64 (sqrt.f64 x))))))
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (exp.f64 (asinh.f64 (sqrt.f64 x)))) (.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) (neg.f64 x)))) (neg.f64 (.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) (neg.f64 (exp.f64 (asinh.f64 (sqrt.f64 x)))))))
(/.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 (neg.f64 (exp.f64 (asinh.f64 (sqrt.f64 x)))))) (.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) (neg.f64 (neg.f64 x)))) (*.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) (neg.f64 (neg.f64 (exp.f64 (asinh.f64 (sqrt.f64 x)))))))
(/.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))))) (.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) (neg.f64 x))) (*.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) (neg.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))))))
(/.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (asinh.f64 (sqrt.f64 x)))) (.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) x)) (pow.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (hypot.f64 (sqrt.f64 x) x))) (.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (hypot.f64 (sqrt.f64 x) x)) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (hypot.f64 (sqrt.f64 x) x)) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (hypot.f64 (sqrt.f64 x) x))))
(/.f64 (-.f64 (.f64 (sinh.f64 (acosh.f64 x)) #s(literal 2 binary64)) (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 (asinh.f64 (sqrt.f64 x)))) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (exp.f64 (asinh.f64 (sqrt.f64 x))))) (.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (exp.f64 (asinh.f64 (sqrt.f64 x)))) (pow.f64 (/.f64 x (exp.f64 (asinh.f64 (sqrt.f64 x)))) #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (exp.f64 (asinh.f64 (sqrt.f64 x)))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (exp.f64 (asinh.f64 (sqrt.f64 x))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 (asinh.f64 (sqrt.f64 x)))) #s(literal 3 binary64)) (+.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 #s(literal 1 binary64) x) x)) (pow.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 (asinh.f64 (sqrt.f64 x)))) #s(literal 2 binary64))) (.f64 (+.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 #s(literal 1 binary64) x) x)) (pow.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 (asinh.f64 (sqrt.f64 x)))) #s(literal 2 binary64))) (pow.f64 (/.f64 x (exp.f64 (asinh.f64 (sqrt.f64 x)))) #s(literal 3 binary64)))) (.f64 (+.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 #s(literal 1 binary64) x) x)) (pow.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 (asinh.f64 (sqrt.f64 x)))) #s(literal 2 binary64))) (+.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 #s(literal 1 binary64) x) x)) (pow.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 (asinh.f64 (sqrt.f64 x)))) #s(literal 2 binary64)))))
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(+.f64 (/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))) (/.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))))
(+.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))) (/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))))
(+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) (neg.f64 (neg.f64 (sqrt.f64 x)))) (/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (sqrt.f64 x)))))
(+.f64 (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x)) (.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x) (/.f64 (/.f64 (.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -3/2 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x)) (.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
(+.f64 (/.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) x) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))))))) (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))))))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 9/2 binary64)) #s(literal 1/8 binary64)) (.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) x (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))) (.f64 x x))) (/.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3/2 binary64))) (.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) x (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))) (.f64 x x))))
(+.f64 (/.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3/2 binary64))) (.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) x (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))) (.f64 x x))) (/.f64 (.f64 (pow.f64 x #s(literal 9/2 binary64)) #s(literal 1/8 binary64)) (.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) x (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))) (.f64 x x))))
(+.f64 (/.f64 (/.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 (fma.f64 #s(literal 1/64 binary64) x (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64))))) (.f64 x x)) (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 9/2 binary64)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 #s(literal 1/64 binary64) x (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64))))) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (sqrt.f64 x)))) (/.f64 (/.f64 #s(literal 1/8 binary64) x) (neg.f64 (neg.f64 (sqrt.f64 x)))))
(+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (/.f64 (.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)))
(+.f64 (/.f64 (.f64 #s(literal 1/64 binary64) x) (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) (.f64 x x))) (/.f64 (.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) (.f64 x x))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1/8 binary64) x) (sqrt.f64 x)))
(+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) x))
(+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) x) (/.f64 (.f64 (neg.f64 (neg.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
(+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (exp.f64 (asinh.f64 (sqrt.f64 x)))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))))))
(/.f64 (neg.f64 x) (neg.f64 (exp.f64 (asinh.f64 (sqrt.f64 x)))))
(/.f64 x (exp.f64 (asinh.f64 (sqrt.f64 x))))
(neg.f64 (/.f64 (neg.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x)))))
(neg.f64 (/.f64 x (neg.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/2 binary64))
(.f64 (fabs.f64 (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (sqrt.f64 x) (fabs.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) x))
(.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))))
(fabs.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64))))
(fabs.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))

eval189.0ms (3.1%)

Memory: 11.0MiB live, 328.2MiB allocated; 64ms collecting garbage
Compiler: Compiled 39 696 to 4 830 computations (87.8% saved)

prune24.0ms (0.4%)

Memory

26.1MiB live, 73.2MiB allocated; 2ms collecting garbage

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	1 316	5	1 321
Fresh	7	3	10
Picked	4	1	5
Done	1	4	5
Total	1 328	13	1 341

Accuracy

100.0%

Counts

1 341 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.2%	(/.f64 #s(literal 1 binary64) (exp.f64 (asinh.f64 (sqrt.f64 x))))
✓	53.9%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	49.8%	(-.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))
✓	51.3%	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
✓	49.2%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
	96.2%	(exp.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))))
	51.4%	#s(approx (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
▶	51.6%	#s(approx (- (sqrt (+ (* (sqrt x) (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))
	52.1%	#s(approx (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
▶	52.0%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* 1/2 (sqrt x)) (/ 1/8 (sqrt x))) (sqrt x)) #s(literal 1/2 binary64)) (sqrt.f64 x)))
✓	52.1%	#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))
▶	49.7%	#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
▶	99.7%	#s(approx (+ (/ (- 1 x) (exp (asinh (sqrt x)))) (/ x (exp (asinh (sqrt x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))

Compiler

Compiled 355 to 263 computations (25.9% saved)

simplify97.0ms (1.6%)

Memory

12.7MiB live, 112.9MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	265
0	80	255
1	120	252
2	274	229
3	934	229
4	2684	229
0	8415	229

Stop Event

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

Calls

Call 1

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

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

localize193.0ms (3.2%)

Memory

-25.4MiB live, 209.6MiB allocated; 60ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 x)
accuracy	0.0703125	(asinh.f64 (sqrt.f64 x))
accuracy	0.16015625	(/.f64 #s(literal 1 binary64) (exp.f64 (asinh.f64 (sqrt.f64 x))))
accuracy	2.4721877133982386	(exp.f64 (asinh.f64 (sqrt.f64 x)))
accuracy	0.1640625	(/.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)
accuracy	0.39619843778012714	(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
accuracy	18.612913131310876	(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
accuracy	30.867052022728192	#s(approx (- (sqrt (+ (* (sqrt x) (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))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.25619125976844204	(/.f64 #s(approx (/ (+ (* 1/2 (sqrt x)) (/ 1/8 (sqrt x))) (sqrt x)) #s(literal 1/2 binary64)) (sqrt.f64 x))
accuracy	31.05686528549758	#s(approx (/ (+ (* 1/2 (sqrt x)) (/ 1/8 (sqrt x))) (sqrt x)) #s(literal 1/2 binary64))
accuracy	31.364831647531933	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* 1/2 (sqrt x)) (/ 1/8 (sqrt x))) (sqrt x)) #s(literal 1/2 binary64)) (sqrt.f64 x)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.01171875	(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
accuracy	26.973333851688174	#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
accuracy	0.0	#s(approx (+ (/ (- 1 x) (exp (asinh (sqrt x)))) (/ x (exp (asinh (sqrt x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
accuracy	0.00390625	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
accuracy	0.0078125	(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
accuracy	0.16015625	(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))

Samples

130.0ms	126×	1	valid
35.0ms	130×	0	valid

Compiler

Compiled 214 to 44 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

ival-sub: 28.0ms (22.7% of total)

ival-div: 23.0ms (18.6% of total)

adjust: 19.0ms (15.4% of total)

ival-add: 13.0ms (10.5% of total)

ival-sqrt: 10.0ms (8.1% of total)

ival-asinh: 6.0ms (4.9% of total)

ival-exp: 6.0ms (4.9% of total)

ival-hypot: 6.0ms (4.9% of total)

ival-mult: 5.0ms (4.1% of total)

ival-pow: 4.0ms (3.2% of total)

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series19.0ms (0.3%)

Memory

30.4MiB live, 30.4MiB allocated; 0ms collecting garbage

Counts

19 → 104

Calls

Call 1

Inputs
#s(approx (+ (/ (- 1 x) (exp (asinh (sqrt x)))) (/ x (exp (asinh (sqrt x))))) (/.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))
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* 1/2 (sqrt x)) (/ 1/8 (sqrt x))) (sqrt x)) #s(literal 1/2 binary64)) (sqrt.f64 x)))
(/.f64 #s(approx (/ (+ (* 1/2 (sqrt x)) (/ 1/8 (sqrt x))) (sqrt x)) #s(literal 1/2 binary64)) (sqrt.f64 x))
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ 1/8 (sqrt x))) (sqrt x)) #s(literal 1/2 binary64))
#s(approx (- (sqrt (+ (* (sqrt x) (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 (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)
(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))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (exp.f64 (asinh.f64 (sqrt.f64 x))))
(exp.f64 (asinh.f64 (sqrt.f64 x)))
(asinh.f64 (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))

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

Calls

3 calls:

Time

Variable

Point

Expression

9.0ms

((+ (/ (- 1 x) (exp (asinh (sqrt x)))) (/ x (exp (asinh (sqrt x))))) (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x)) (- (sqrt (+ x 1)) (neg (sqrt x))) (+ (sqrt x) 1) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (/ (/ (+ (* 1/2 (sqrt x)) (/ 1/8 (sqrt x))) (sqrt x)) (sqrt x)) (/ (+ (* 1/2 (sqrt x)) (/ 1/8 (sqrt x))) (sqrt x)) (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 x)) -1/8) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (sqrt (/ 1 x)) -1/8) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (* 1/2 (sqrt x)))) (sqrt (/ 1 x)) (/ 1 (exp (asinh (sqrt x)))) (exp (asinh (sqrt x))) (asinh (sqrt x)) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3)))

5.0ms

-inf

((+ (/ (- 1 x) (exp (asinh (sqrt x)))) (/ x (exp (asinh (sqrt x))))) (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x)) (- (sqrt (+ x 1)) (neg (sqrt x))) (+ (sqrt x) 1) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (/ (/ (+ (* 1/2 (sqrt x)) (/ 1/8 (sqrt x))) (sqrt x)) (sqrt x)) (/ (+ (* 1/2 (sqrt x)) (/ 1/8 (sqrt x))) (sqrt x)) (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 x)) -1/8) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (sqrt (/ 1 x)) -1/8) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (* 1/2 (sqrt x)))) (sqrt (/ 1 x)) (/ 1 (exp (asinh (sqrt x)))) (exp (asinh (sqrt x))) (asinh (sqrt x)) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3)))

3.0ms

inf

((+ (/ (- 1 x) (exp (asinh (sqrt x)))) (/ x (exp (asinh (sqrt x))))) (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x)) (- (sqrt (+ x 1)) (neg (sqrt x))) (+ (sqrt x) 1) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (/ (/ (+ (* 1/2 (sqrt x)) (/ 1/8 (sqrt x))) (sqrt x)) (sqrt x)) (/ (+ (* 1/2 (sqrt x)) (/ 1/8 (sqrt x))) (sqrt x)) (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 x)) -1/8) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (sqrt (/ 1 x)) -1/8) (+ (* (sqrt (/ 1 (pow x 3))) 1/16) (* 1/2 (sqrt x)))) (sqrt (/ 1 x)) (/ 1 (exp (asinh (sqrt x)))) (exp (asinh (sqrt x))) (asinh (sqrt x)) (sqrt (/ 1 (pow x 3))) (/ 1 (pow x 3)))

simplify141.0ms (2.3%)

Memory

-33.3MiB live, 149.4MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	392	2537
1	1225	2075
2	5125	1921
0	8190	1823

Stop Event

1×	iter limit
1×	node limit

Counts

104 → 104

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)))))
(sqrt 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))
(* 1/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/ 1/8 x)
(/ (+ (* 1/8 x) (* 1/2 (pow x 2))) (pow x 2))
(* 1/16 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))
(* 1/16 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2))
(sqrt (/ 1 x))
(+ (sqrt x) (sqrt (+ 1 x)))
(log (+ (sqrt x) (sqrt (+ 1 x))))
(sqrt (/ 1 (pow x 3)))
(/ 1 (pow x 3))
(/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))
(- (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))))
(- (+ (/ 1/8 (* (pow x 2) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (/ 1/4 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))))
(- (+ (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* 1/8 (/ 1 (* (pow x 2) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))))) (+ (/ 1/4 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 5/64 (/ 1 (* (pow x 3) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))))))
(* 1/2 (sqrt (/ 1 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))))))))
(* x (+ (sqrt (/ 1 x)) (/ 1 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)
(+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
1/2
(* x (+ (* 1/2 (/ 1 x)) (* 1/8 (/ 1 (pow x 2)))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))
(* 1/2 (sqrt x))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
(exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))
(+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (* 1/4 (/ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) x)))
(+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (+ (* -1/16 (/ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (pow x 2))) (* 1/4 (/ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) x))))
(+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (+ (* -1/16 (/ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (pow x 2))) (+ (* 1/32 (/ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (pow x 3))) (* 1/4 (/ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) x)))))
(+ (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 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))
(+ (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* 1/4 (/ 1 (* x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 2))))))
(- (+ (/ 1/8 (* (pow x 2) (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 4)))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) (/ -1/4 (* x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 2)))))
(- (+ (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (+ (* 1/8 (/ 1 (* (pow x 2) (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 4))))) (* 5/64 (/ 1 (* (pow x 3) (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 6))))))) (/ -1/4 (* x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 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 (/ (- (+ (* 1/16 (* (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 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 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))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt (/ 1 x))))
(* -1 (* x (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (* 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 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (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 (* x (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))
(+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (* -1/4 (/ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (* x (pow (sqrt -1) 2)))))
(+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (+ (* -1/4 (/ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (* x (pow (sqrt -1) 2)))) (* -1/16 (/ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (* (pow x 2) (pow (sqrt -1) 4))))))
(+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (+ (* -1/4 (/ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (* x (pow (sqrt -1) 2)))) (+ (* -1/16 (/ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (* (pow x 2) (pow (sqrt -1) 4)))) (* -1/32 (/ (exp (+ (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 (* (sqrt (/ 1 (pow x 3))) (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))))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #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 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #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) (fma.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/16 binary64)) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #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))))
(+ 1 (sqrt x))
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (+ (sqrt x) (* 1/2 x)))
(fma.f64 #s(literal 1/2 binary64) x (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (+.f64 (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 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(sqrt x)
(sqrt.f64 x)
(- 1 (sqrt x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 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 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ (+ (* 1/8 x) (* 1/2 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) x)) x) x)
(* 1/16 (sqrt (/ 1 (pow x 5))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/16 binary64))
(/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))
(/.f64 (fma.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 (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(* 1/16 (sqrt (/ 1 (pow x 3))))
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(* -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 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/16 binary64) (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) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 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))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (neg.f64 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))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) #s(literal -5/128 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (neg.f64 x))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt (/ 1 x))))
(fma.f64 (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 (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (* 1/2 (/ 1 x)))))
(.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (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 (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 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64))) x))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (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)
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64))) x)) x)
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))
(/.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x))
(+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (* -1/4 (/ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (* x (pow (sqrt -1) 2)))))
(fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x)) x) #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x)))
(+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (+ (* -1/4 (/ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (* x (pow (sqrt -1) 2)))) (* -1/16 (/ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (* (pow x 2) (pow (sqrt -1) 4))))))
(fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x)) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) x)) (/.f64 #s(literal -1/16 binary64) x) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x)) x) #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x))))
(+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (+ (* -1/4 (/ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (* x (pow (sqrt -1) 2)))) (+ (* -1/16 (/ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (* (pow x 2) (pow (sqrt -1) 4)))) (* -1/32 (/ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (* (pow x 3) (pow (sqrt -1) 6)))))))
(+.f64 (fma.f64 (/.f64 #s(literal -1/32 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (/.f64 (/.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x)) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) x)) (/.f64 #s(literal -1/16 binary64) x) (.f64 (/.f64 (/.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x)) x) #s(literal 1/4 binary64)))) (/.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x)))
(+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (* x (pow (sqrt -1) 2)))))
(-.f64 (-.f64 (log.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/4 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 (-.f64 (/.f64 #s(literal 1/4 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (.f64 x x))) (log.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(- (+ (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 (-.f64 (/.f64 #s(literal 1/4 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (.f64 x x))) (/.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))

rewrite191.0ms (3.2%)

Memory

33.1MiB live, 257.8MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	218
0	80	201
1	301	170
2	2011	130
0	10629	127

Stop Event

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

Counts

19 → 1 034

Calls

Call 1

Inputs
#s(approx (+ (/ (- 1 x) (exp (asinh (sqrt x)))) (/ x (exp (asinh (sqrt x))))) (/.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))
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* 1/2 (sqrt x)) (/ 1/8 (sqrt x))) (sqrt x)) #s(literal 1/2 binary64)) (sqrt.f64 x)))
(/.f64 #s(approx (/ (+ (* 1/2 (sqrt x)) (/ 1/8 (sqrt x))) (sqrt x)) #s(literal 1/2 binary64)) (sqrt.f64 x))
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ 1/8 (sqrt x))) (sqrt x)) #s(literal 1/2 binary64))
#s(approx (- (sqrt (+ (* (sqrt x) (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 (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)
(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))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (exp.f64 (asinh.f64 (sqrt.f64 x))))
(exp.f64 (asinh.f64 (sqrt.f64 x)))
(asinh.f64 (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))

Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.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 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 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) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 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 (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 (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 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (+.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)))
(*.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 (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)))
(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 (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 3 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) x)) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) x)) #s(literal 1 binary64))
(/.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 (sin.f64 (acos.f64 x)) #s(literal 2 binary64)) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (sinh.f64 (acosh.f64 x)) #s(literal 2 binary64)) (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (.f64 (sqrt.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (.f64 (sqrt.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) #s(literal 2 binary64)))
(/.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 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) #s(literal 1 binary64))) (neg.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))) (.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (/.f64 x (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))) x)) (.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (/.f64 x (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))))
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(+.f64 (/.f64 (.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 (.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) x) #s(literal 1 binary64)))
(+.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 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x))))
(+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 x (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) (/.f64 x (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))))
(asinh.f64 (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (asinh.f64 (sqrt.f64 x)))
(*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64))
(neg.f64 (asinh.f64 (sqrt.f64 x)))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)))))
(-.f64 (log.f64 (-.f64 x (-.f64 #s(literal 1 binary64) x))) (log.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (neg.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (log1p.f64 (hypot.f64 (sqrt.f64 x) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))))
(-.f64 (log.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (log.f64 (+.f64 x (-.f64 (-.f64 #s(literal 1 binary64) x) (hypot.f64 (sqrt.f64 x) x)))))
(-.f64 (log.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x))))
(-.f64 #s(literal 0 binary64) (asinh.f64 (sqrt.f64 x)))
(+.f64 (log.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))) (log.f64 (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x))))
(+.f64 (log.f64 (pow.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (log1p.f64 (hypot.f64 (sqrt.f64 x) x)))
(+.f64 #s(literal 0 binary64) (asinh.f64 (sqrt.f64 x)))
(log.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -3/4 binary64))) (neg.f64 (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -3/4 binary64))) (fabs.f64 (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(.f64 (pow.f64 (neg.f64 (.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (.f64 x x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal -3/4 binary64))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -3 binary64))
(pow.f64 x #s(literal -3/2 binary64))
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) x)
(/.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal -3 binary64)))
(fabs.f64 (pow.f64 x #s(literal -3/2 binary64)))
(exp.f64 (-.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)) (log.f64 x)))
(exp.f64 (neg.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64))))
(exp.f64 (/.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -3 binary64)))
(exp.f64 (.f64 (/.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (pow.f64 (neg.f64 (.f64 x x)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -6 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -6 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (neg.f64 (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (neg.f64 (.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/4 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 x x) #s(literal -3/2 binary64))
(pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -6 binary64))
(pow.f64 x #s(literal -3 binary64))
(/.f64 (pow.f64 x #s(literal -2 binary64)) x)
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(neg.f64 (pow.f64 x #s(literal -3 binary64)))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))))
(-.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (/.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -6 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal -3/2 binary64)))
(exp.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)))
(+.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))))

eval133.0ms (2.2%)

Memory: 14.2MiB live, 161.1MiB allocated; 27ms collecting garbage
Compiler: Compiled 25 032 to 3 196 computations (87.2% saved)

prune41.0ms (0.7%)

Memory

-41.6MiB live, 73.3MiB allocated; 19ms collecting garbage

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	717	2	719
Fresh	0	3	3
Picked	2	3	5
Done	0	5	5
Total	719	13	732

Accuracy

100.0%

Counts

732 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.9%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	49.8%	(-.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))
✓	51.3%	(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
✓	49.2%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
	96.2%	(exp.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))))
	51.4%	#s(approx (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
	51.6%	#s(approx (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
	52.1%	#s(approx (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
✓	52.0%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* 1/2 (sqrt x)) (/ 1/8 (sqrt x))) (sqrt x)) #s(literal 1/2 binary64)) (sqrt.f64 x)))
✓	52.1%	#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))
✓	49.7%	#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
✓	99.7%	#s(approx (+ (/ (- 1 x) (exp (asinh (sqrt x)))) (/ x (exp (asinh (sqrt x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
	52.6%	#s(approx (+ (/ (- 1 x) (exp (asinh (sqrt x)))) (/ x (exp (asinh (sqrt 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))))

Compiler

Compiled 888 to 330 computations (62.8% saved)

regimes17.0ms (0.3%)

Memory

33.8MiB live, 33.8MiB allocated; 0ms collecting garbage

Counts

33 → 1

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #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))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* 1/2 (sqrt x)) (/ 1/8 (sqrt x))) (sqrt x)) #s(literal 1/2 binary64)) (sqrt.f64 x)))
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))
(-.f64 (sqrt.f64 #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) (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))
#s(approx (- (sqrt (+ (* (sqrt x) (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))
#s(approx (+ (/ (- 1 x) (exp (asinh (sqrt x)))) (/ x (exp (asinh (sqrt 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(approx (+ (/ (- 1 x) (exp (asinh (sqrt x)))) (/ x (exp (asinh (sqrt x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.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 (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) x (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x (.f64 x (neg.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))) (*.f64 x x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.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)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.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))))) x))
(/.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64)) x) (+.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)))
#s(approx (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 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) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (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 (- (sqrt (+ (* (sqrt x) (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))
(exp.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (exp.f64 (asinh.f64 (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (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) (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 (- (sqrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x)) (/.f64 (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) 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 (/.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 (asinh.f64 (sqrt.f64 x)))) (/.f64 x (exp.f64 (asinh.f64 (sqrt.f64 x)))))

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

Calls

2 calls:

8.0ms	x
6.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
99.7%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
99.7%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes34.0ms (0.6%)

Memory

-33.7MiB live, 12.9MiB allocated; 2ms collecting garbage

Counts

15 → 2

Calls

Call 1

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

Outputs
(-.f64 (sqrt.f64 (+.f64 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)))

Calls

2 calls:

30.0ms	x
3.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
99.1%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
99.1%	2	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes8.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Counts

13 → 2

Calls

Call 1

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

Outputs

(-.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)))

Calls

2 calls:

4.0ms	x
3.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
97.8%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
97.8%	2	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

(-.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 #s(approx (/ (+ (* 1/2 (sqrt x)) (/ 1/8 (sqrt x))) (sqrt x)) #s(literal 1/2 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
97.7%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
97.7%	2	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory

8.2MiB live, 8.1MiB allocated; 0ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

Outputs

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

#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* 1/2 (sqrt x)) (/ 1/8 (sqrt x))) (sqrt x)) #s(literal 1/2 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
97.5%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
97.5%	2	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory

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

Counts

6 → 1

Calls

Call 1

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

Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #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
51.4%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
51.4%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes18.0ms (0.3%)

Memory

-40.5MiB live, 6.3MiB allocated; 2ms collecting garbage

Accuracy

Total -1.3b remaining (-3.9%)

Threshold costs -1.3b (-3.9%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

16.0ms	x
1.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
49.7%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
49.7%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch17.0ms (0.3%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	36953967.4723023	221045859878.38144

Samples

10.0ms

128×

valid

Compiler

Compiled 178 to 170 computations (4.5% saved)

Precisions

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

ival-sqrt: 3.0ms (43.4% of total)

adjust: 2.0ms (28.9% of total)

ival-sub: 1.0ms (14.5% of total)

ival-add: 1.0ms (14.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch9.0ms (0.1%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.3999680283702	1.6115354019930828

Samples

4.0ms

96×

valid

Compiler

Compiled 184 to 166 computations (9.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sqrt: 1.0ms (44.5% of total)

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

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch53.0ms (0.9%)

Memory

-41.6MiB live, 1.8MiB allocated; 8ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
53.0ms	0.3999680283702	1.6115354019930828

Compiler

Compiled 250 to 196 computations (21.6% saved)

bsearch6.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	0.3999680283702	1.6115354019930828

Samples

3.0ms

64×

valid

Compiler

Compiled 250 to 196 computations (21.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-sqrt: 1.0ms (67% of total)

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

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify49.0ms (0.8%)

Memory

2.3MiB live, 53.8MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	194
1	78	194
2	110	181
3	166	175
4	414	175
5	2679	175

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (+ (/ (- 1 x) (exp (asinh (sqrt x)))) (/ x (exp (asinh (sqrt x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(if (<=.f64 x #s(literal 112000000 binary64)) (-.f64 (sqrt.f64 (+.f64 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))))
(if (<=.f64 x #s(literal 5494391545392005/4503599627370496 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)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 5494391545392005/4503599627370496 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)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* 1/2 (sqrt x)) (/ 1/8 (sqrt x))) (sqrt x)) #s(literal 1/2 binary64)) (sqrt.f64 x))))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* 1/2 (sqrt x)) (/ 1/8 (sqrt x))) (sqrt x)) #s(literal 1/2 binary64)) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))

Outputs
#s(approx (+ (/ (- 1 x) (exp (asinh (sqrt x)))) (/ x (exp (asinh (sqrt x))))) (/.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)))) (/ x (exp (asinh (sqrt x))))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal 112000000 binary64)) (-.f64 (sqrt.f64 (+.f64 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))))
(if (<=.f64 x #s(literal 112000000 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 5494391545392005/4503599627370496 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)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 5494391545392005/4503599627370496 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)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 5494391545392005/4503599627370496 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)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* 1/2 (sqrt x)) (/ 1/8 (sqrt x))) (sqrt x)) #s(literal 1/2 binary64)) (sqrt.f64 x))))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (/ (+ (* 1/2 (sqrt x)) (/ 1/8 (sqrt x))) (sqrt x)) #s(literal 1/2 binary64)) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (neg (sqrt x))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))

derivations934.0ms (15.5%)

Memory

3.7MiB live, 610.9MiB allocated; 72ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	451
1	331	393
2	1209	387
3	4903	387
0	8229	353
0	338	2752
1	1024	2191
2	4027	1866
0	9006	1784
0	6	16
0	10	16
1	42	16
2	271	16
3	2932	16
0	9099	16
0	27	149
0	47	140
1	203	136
2	1384	136
0	8707	133

Stop Event

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

Compiler

Compiled 199 to 58 computations (70.9% saved)

preprocess84.0ms (1.4%)

Memory: 29.6MiB live, 73.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 430 to 142 computations (67% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample1.3s (20.9%)

explain150.0ms (2.5%)

preprocess12.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize67.0ms (1.1%)

series5.0ms (0.1%)

simplify211.0ms (3.5%)

rewrite162.0ms (2.7%)

eval83.0ms (1.4%)

prune11.0ms (0.2%)

simplify226.0ms (3.8%)

localize181.0ms (3%)

series15.0ms (0.2%)

simplify206.0ms (3.4%)

rewrite271.0ms (4.5%)

eval111.0ms (1.8%)

prune25.0ms (0.4%)

simplify69.0ms (1.1%)

localize166.0ms (2.8%)

series88.0ms (1.5%)

simplify188.0ms (3.1%)

rewrite229.0ms (3.8%)

eval189.0ms (3.1%)

prune24.0ms (0.4%)

simplify97.0ms (1.6%)

localize193.0ms (3.2%)

series19.0ms (0.3%)

simplify141.0ms (2.3%)

rewrite191.0ms (3.2%)

eval133.0ms (2.2%)

prune41.0ms (0.7%)

regimes17.0ms (0.3%)

regimes34.0ms (0.6%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

regimes18.0ms (0.3%)

bsearch17.0ms (0.3%)

bsearch9.0ms (0.1%)

bsearch53.0ms (0.9%)

bsearch6.0ms (0.1%)

simplify49.0ms (0.8%)

derivations934.0ms (15.5%)

preprocess84.0ms (1.4%)

end0.0ms (0%)

Profiling