Metrics for Toniolo and Linder, Equation (7)

analyze309.0ms (2.1%)

Memory

13.6MiB live, 573.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
0%	0%	99.9%	0.1%	0%	0%	0%	7
0%	0%	74.9%	0.1%	0%	25%	0%	8
4.2%	3.1%	71.8%	0.1%	0%	25%	0%	9
6.3%	4.7%	70.2%	0.1%	0%	25%	0%	10
11.3%	7%	55.4%	0.1%	0%	37.4%	0%	11
16.9%	10.5%	51.9%	0.1%	0%	37.4%	0%	12

Compiler

Compiled 29 to 20 computations (31% saved)

sample3.1s (21.4%)

Memory

38.9MiB live, 4 058.6MiB allocated

Samples

692.0ms	2 743×	1	valid
688.0ms	5 318×	0	valid
441.0ms	1 608×	1	invalid
367.0ms	2 704×	0	invalid
83.0ms	174×	2	valid
82.0ms	94×	2	invalid
9.0ms	21×	4	valid

Precisions

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

ival-mult: 557.0ms (32.8% of total)

ival-sqrt: 257.0ms (15.1% of total)

ival-div: 248.0ms (14.6% of total)

ival-sub: 247.0ms (14.5% of total)

ival-add: 223.0ms (13.1% of total)

adjust: 137.0ms (8.1% of total)

exact: 16.0ms (0.9% of total)

ival-true: 9.0ms (0.5% of total)

ival-assert: 5.0ms (0.3% of total)

Bogosity

preprocess719.0ms (4.9%)

Memory

-35.9MiB live, 849.9MiB allocated

Algorithm

2×	egg-herbie

Rules

25 302×	`accelerator-lowering-fma.f32`
25 302×	`accelerator-lowering-fma.f64`
4 556×	`-lowering-.f32`
4 556×	`-lowering-.f64`
2 076×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	277
1	229	275
2	660	273
3	2234	273
4	7068	273
0	18	27
1	45	27
2	102	27
3	205	27
4	436	27
5	990	27
6	2264	27
7	5092	27
0	8149	26

Stop Event

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

Calls

Call 1

Inputs
(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))

Outputs

(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))

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

Call 2

Inputs
(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ (neg x) 1) (- (neg x) 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* (neg l) (neg l)) (* 2 (* t t)))) (* (neg l) (neg l)))))
(/ (* (sqrt 2) (neg t)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* (neg t) (neg t))))) (* l l))))
(neg (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ (neg x) 1) (- (neg x) 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))))
(neg (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* (neg l) (neg l)) (* 2 (* t t)))) (* (neg l) (neg l))))))
(neg (/ (* (sqrt 2) (neg t)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* (neg t) (neg t))))) (* l l)))))
(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ l 1) (- l 1)) (+ (* x x) (* 2 (* t t)))) (* x x))))
(/ (* (sqrt 2) x) (sqrt (- (* (/ (+ t 1) (- t 1)) (+ (* l l) (* 2 (* x x)))) (* l l))))
(/ (* (sqrt 2) l) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* t t) (* 2 (* l l)))) (* t t))))

Outputs
(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
(/ (* (sqrt 2) t) (sqrt (- (* (+ x 1) (/ (+ (* l l) (* 2 (* t t))) (+ x -1))) (* l l))))
(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ (neg x) 1) (- (neg x) 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
(/ (* (sqrt 2) t) (sqrt (- (* (+ (* l l) (* 2 (* t t))) (/ (- 1 x) (- -1 x))) (* l l))))
(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* (neg l) (neg l)) (* 2 (* t t)))) (* (neg l) (neg l)))))
(/ (* (sqrt 2) t) (sqrt (- (* (+ x 1) (/ (+ (* l l) (* 2 (* t t))) (+ x -1))) (* l l))))
(/ (* (sqrt 2) (neg t)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* (neg t) (neg t))))) (* l l))))
(/ (* (sqrt 2) (neg t)) (sqrt (- (* (+ x 1) (/ (+ (* l l) (* 2 (* t t))) (+ x -1))) (* l l))))
(neg (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ (neg x) 1) (- (neg x) 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))))
(/ (* (sqrt 2) (neg t)) (sqrt (- (* (+ (* l l) (* 2 (* t t))) (/ (- 1 x) (- -1 x))) (* l l))))
(neg (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* (neg l) (neg l)) (* 2 (* t t)))) (* (neg l) (neg l))))))
(/ (* (sqrt 2) (neg t)) (sqrt (- (* (+ x 1) (/ (+ (* l l) (* 2 (* t t))) (+ x -1))) (* l l))))
(neg (/ (* (sqrt 2) (neg t)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* (neg t) (neg t))))) (* l l)))))
(/ (* (sqrt 2) t) (sqrt (- (* (+ x 1) (/ (+ (* l l) (* 2 (* t t))) (+ x -1))) (* l l))))
(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ l 1) (- l 1)) (+ (* x x) (* 2 (* t t)))) (* x x))))
(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ 1 l) (+ l -1)) (+ (* 2 (* t t)) (* x x))) (* x x))))
(/ (* (sqrt 2) x) (sqrt (- (* (/ (+ t 1) (- t 1)) (+ (* l l) (* 2 (* x x)))) (* l l))))
(/ (* (sqrt 2) x) (sqrt (- (* (+ t 1) (/ (+ (* l l) (* 2 (* x x))) (+ t -1))) (* l l))))
(/ (* (sqrt 2) l) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* t t) (* 2 (* l l)))) (* t t))))
(/ (* (sqrt 2) l) (sqrt (- (* (/ (+ x 1) (+ x -1)) (+ (* t t) (* 2 (* l l)))) (* t t))))

Symmetry

(abs l)

(negabs t)

explain588.0ms (4%)

Memory

-5.2MiB live, 564.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
110	-	2	(3.522175366197941e+274 5.059121389591555e-199 8.588504342606608e-159)	`(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)))`
88	-	0	-	`(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))`
0	-	0	-	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
0	-	0	-	`(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`t`
0	-	0	-	`(.f64 #s(literal 2 binary64) (.f64 t t))`
0	-	0	-	`(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)`
0	-	0	-	`(+.f64 x #s(literal 1 binary64))`
0	-	0	-	`(*.f64 l l)`
0	-	0	-	`(sqrt.f64 #s(literal 2 binary64))`
0	-	0	-	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
0	-	0	-	`(*.f64 t t)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(-.f64 x #s(literal 1 binary64))`
0	-	0	-	`l`
0	-	0	-	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)))`	oflow-rescue	78	0
↳	`(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))`	overflow	78
↳	`(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))))`	overflow	91
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	65
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	overflow	91
↳	`(*.f64 t t)`	overflow	65
↳	`(*.f64 l l)`	overflow	74
`-.f64`	`(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))`	cancellation	51	0
`-.f64`	`(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))`	nan-rescue	37	0
↳	`(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))))`	overflow	91
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	65
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	overflow	91
↳	`(*.f64 t t)`	overflow	65
↳	`(*.f64 l l)`	overflow	37
↳	`(*.f64 l l)`	overflow	37
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)))`	uflow-rescue	30	0
↳	`(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))`	underflow	30
↳	`(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))))`	underflow	19
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	underflow	57
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	underflow	19
↳	`(*.f64 t t)`	underflow	57
↳	`(*.f64 l l)`	underflow	138

Confusion

	Predicted +	Predicted -
+	172	1
-	0	83

Precision

1.0

Recall

0.9942196531791907

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	172	0	1
-	0	0	83

Precision?

1.0

Recall?

0.9942196531791907

Freqs

test

number	freq
0	84
1	148
2	24

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

102.0ms	322×	0	valid
78.0ms	180×	1	valid
3.0ms	10×	2	valid

Compiler

Compiled 326 to 76 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-mult: 55.0ms (44.9% of total)

ival-sub: 37.0ms (30.2% of total)

ival-sqrt: 9.0ms (7.3% of total)

ival-div: 8.0ms (6.5% of total)

ival-add: 7.0ms (5.7% of total)

adjust: 5.0ms (4.1% of total)

exact: 1.0ms (0.8% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))

Status

Accuracy

Program

▶

34.9%

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

Compiler

Compiled 30 to 18 computations (40% saved)

simplify530.0ms (3.6%)

Memory

20.5MiB live, 927.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
✓	cost-diff	128	(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))

Rules

25 302×	`accelerator-lowering-fma.f32`
25 302×	`accelerator-lowering-fma.f64`
4 556×	`-lowering-.f32`
4 556×	`-lowering-.f64`
2 076×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	131
1	45	131
2	102	131
3	205	131
4	436	131
5	990	131
6	2264	131
7	5092	131
0	8149	126

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
(* (sqrt 2) t)
(sqrt 2)
2
t
(sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
(- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))
(* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t))))
(/ (+ x 1) (- x 1))
(+ x 1)
x
1
(- x 1)
(+ (* l l) (* 2 (* t t)))
(* l l)
l
(* 2 (* t t))
(* t t)

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

localize66.0ms (0.5%)

Memory

6.9MiB live, 125.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
✓	accuracy	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	accuracy	69.6%	(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))
✓	accuracy	60.4%	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)))

Samples

23.0ms	90×	1	valid
18.0ms	161×	0	valid
2.0ms	5×	2	valid

Compiler

Compiled 133 to 20 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 8.0ms (29.5% of total)

ival-sqrt: 5.0ms (18.4% of total)

ival-div: 4.0ms (14.8% of total)

ival-add: 4.0ms (14.8% of total)

ival-sub: 3.0ms (11.1% of total)

adjust: 3.0ms (11.1% of total)

exact: 0.0ms (0% of total)

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

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

series56.0ms (0.4%)

Memory

10.8MiB live, 88.4MiB allocated

Counts

6 → 144

Calls

Call 1

Inputs
#<alt (+ (* l l) (* 2 (* t t)))>
#<alt (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))>
#<alt (* (sqrt 2) t)>
#<alt (sqrt 2)>
#<alt (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))>
#<alt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))>

Outputs
#<alt (* 2 (pow t 2))>
#<alt (+ (* 2 (pow t 2)) (pow l 2))>
#<alt (+ (* 2 (pow t 2)) (pow l 2))>
#<alt (+ (* 2 (pow t 2)) (pow l 2))>
#<alt (pow l 2)>
#<alt (* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))>
#<alt (* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))>
#<alt (* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))>
#<alt (pow l 2)>
#<alt (* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))>
#<alt (* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))>
#<alt (* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))>
#<alt (pow l 2)>
#<alt (+ (* 2 (pow t 2)) (pow l 2))>
#<alt (+ (* 2 (pow t 2)) (pow l 2))>
#<alt (+ (* 2 (pow t 2)) (pow l 2))>
#<alt (* 2 (pow t 2))>
#<alt (* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))>
#<alt (* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))>
#<alt (* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))>
#<alt (* 2 (pow t 2))>
#<alt (* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))>
#<alt (* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))>
#<alt (* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))>
#<alt (* t (+ (* -1 (* (/ (* (pow t 2) (* (sqrt 2) (+ 1 x))) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))>
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#<alt (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1)))>
#<alt (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))>
#<alt (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))>
#<alt (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))>
#<alt (* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))>
#<alt (* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))>
#<alt (* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))>
#<alt (* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))>
#<alt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))>
#<alt (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (- x 1))) (pow l 2))>
#<alt (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (- x 1))) (pow l 2))>
#<alt (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (- x 1))) (pow l 2))>
#<alt (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1)))>
#<alt (* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))>
#<alt (* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))>
#<alt (* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))>
#<alt (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1)))>
#<alt (* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))>
#<alt (* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))>
#<alt (* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))>

Calls

36 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
4.0ms	x	@	-inf	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
4.0ms	t	@	0	(- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))
4.0ms	x	@	-inf	(sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
4.0ms	x	@	inf	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))

rewrite513.0ms (3.5%)

Memory

-17.4MiB live, 657.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

13 380×	`accelerator-lowering-fma.f32`
13 380×	`accelerator-lowering-fma.f64`
6 638×	`-lowering-.f32`
6 638×	`-lowering-.f64`
3 164×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	85
1	103	85
2	915	84
0	8792	80

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 417

Calls

Call 1

Inputs
(+ (* l l) (* 2 (* t t)))
(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
(* (sqrt 2) t)
(sqrt 2)
(sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
(- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))

Outputs
(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (*.f64 l l))
(+.f64 (/.f64 (.f64 (.f64 l l) (.f64 l l)) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 (*.f64 t t) #s(literal -2 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 l l) (.f64 l l)) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 (*.f64 t t) #s(literal -2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (/.f64 (.f64 (.f64 l l) (.f64 l l)) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (*.f64 l l))))
(fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))
(fma.f64 l (.f64 l #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (*.f64 t t)))
(fma.f64 (.f64 l l) #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 t t)))
(fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) #s(literal 1 binary64)) (*.f64 l l))
(fma.f64 t (.f64 #s(literal 2 binary64) t) (.f64 l l))
(fma.f64 t (.f64 (.f64 #s(literal 2 binary64) t) #s(literal 1 binary64)) (*.f64 l l))
(fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) #s(literal 1 binary64) (*.f64 l l))
(fma.f64 #s(literal 1 binary64) (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 t t)) (*.f64 l l))
(fma.f64 (.f64 (.f64 l l) (.f64 l l)) (/.f64 #s(literal 1 binary64) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 (*.f64 t t) #s(literal -2 binary64))))))
(fma.f64 (.f64 #s(literal 2 binary64) t) t (.f64 l l))
(fma.f64 (.f64 #s(literal 2 binary64) t) (.f64 t #s(literal 1 binary64)) (*.f64 l l))
(fma.f64 (exp.f64 (log.f64 l)) (exp.f64 (log.f64 l)) (.f64 #s(literal 2 binary64) (.f64 t t)))
(fma.f64 (.f64 #s(literal 1 binary64) l) l (.f64 #s(literal 2 binary64) (*.f64 t t)))
(fma.f64 (.f64 #s(literal 1 binary64) t) (.f64 #s(literal 2 binary64) t) (*.f64 l l))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 t t)) #s(literal 2 binary64) (*.f64 l l))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) t)) t (*.f64 l l))
(neg.f64 (/.f64 (fma.f64 l (.f64 l (.f64 (.f64 l l) (.f64 l l))) (.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 (.f64 l l) (.f64 l l))))))
(neg.f64 (/.f64 (fma.f64 l (.f64 l (.f64 l l)) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal -4 binary64))) (neg.f64 (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 l (.f64 l (.f64 (.f64 l l) (.f64 l l))) (.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t))))))) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 (.f64 l l) (.f64 l l)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 l (.f64 l (.f64 l l)) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal -4 binary64)))) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (.f64 t (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 (.f64 l l) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64))))) (fma.f64 l (.f64 l (.f64 (.f64 l l) (.f64 l l))) (.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (*.f64 t t))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l)) (-.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 (.f64 l l) (.f64 l l)))))
(/.f64 (fma.f64 l (.f64 l (.f64 (.f64 l l) (.f64 l l))) (.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))))) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 (.f64 l l) (.f64 l l))))
(/.f64 (fma.f64 l (.f64 l (.f64 (.f64 l l) (.f64 l l))) (.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))))) (fma.f64 t (.f64 t (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 (.f64 l l) (fma.f64 l l (.f64 (*.f64 t t) #s(literal -2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))))))
(/.f64 (fma.f64 l (.f64 l (.f64 l l)) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal -4 binary64))) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 l (.f64 l (.f64 (.f64 l l) (.f64 l l))) (.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t))))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 (.f64 l l) (.f64 l l)))))
(/.f64 (neg.f64 (fma.f64 l (.f64 l (.f64 (.f64 l l) (.f64 l l))) (.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t))))))) (neg.f64 (fma.f64 t (.f64 t (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 (.f64 l l) (fma.f64 l l (.f64 (*.f64 t t) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 l (.f64 l (.f64 l l)) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal -4 binary64)))) (neg.f64 (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 (.f64 l l) (.f64 l l))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 l l) (.f64 l l)) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))) (.f64 (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64))) (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))))) (.f64 (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64))) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 l (.f64 l (.f64 (.f64 l l) (.f64 l l))) (.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 (.f64 l l) (.f64 l l))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 l (.f64 l (.f64 l l)) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal -4 binary64))))) (neg.f64 (neg.f64 (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 (.f64 l l) (.f64 l l)))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 l l) (.f64 l l)) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 l l) (.f64 l l)) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 l l) (.f64 l l)) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))) (.f64 (/.f64 (.f64 (.f64 l l) (.f64 l l)) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 (*.f64 t t) #s(literal -2 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 l l) (.f64 l l)) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 l l) (.f64 l l)) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64))))) (.f64 (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))))) (+.f64 (/.f64 (.f64 (.f64 l l) (.f64 l l)) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 (*.f64 t t) #s(literal -2 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))) #s(literal -1 binary64))
(.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (*.f64 t t))) #s(literal 1 binary64))
(.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64))))))
(.f64 #s(literal 1 binary64) (fma.f64 l l (.f64 #s(literal 2 binary64) (*.f64 t t))))
(.f64 (fma.f64 l (.f64 l (.f64 (.f64 l l) (.f64 l l))) (.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 (.f64 l l) (*.f64 l l)))))
(.f64 (fma.f64 l (.f64 l (.f64 (.f64 l l) (.f64 l l))) (.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))))) (/.f64 #s(literal 1 binary64) (fma.f64 t (.f64 t (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 (.f64 l l) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))))))
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simplify870.0ms (6%)

Memory

34.7MiB live, 667.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 416×	`accelerator-lowering-fma.f32`
10 416×	`accelerator-lowering-fma.f64`
9 668×	`-lowering-.f32`
9 668×	`-lowering-.f64`
3 974×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	676	10349
1	2332	9162
0	8701	8754

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(* 2 (pow t 2))
(+ (* 2 (pow t 2)) (pow l 2))
(+ (* 2 (pow t 2)) (pow l 2))
(+ (* 2 (pow t 2)) (pow l 2))
(pow l 2)
(* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(pow l 2)
(* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(pow l 2)
(+ (* 2 (pow t 2)) (pow l 2))
(+ (* 2 (pow t 2)) (pow l 2))
(+ (* 2 (pow t 2)) (pow l 2))
(* 2 (pow t 2))
(* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))
(* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))
(* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))
(* 2 (pow t 2))
(* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))
(* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))
(* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))
(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))
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(- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (- x 1))) (pow l 2))
(* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1)))
(* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))
(* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))
(* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))
(* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1)))
(* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))
(* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))
(* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))

Outputs
(* 2 (pow t 2))
(.f64 #s(literal 2 binary64) (.f64 t t))
(+ (* 2 (pow t 2)) (pow l 2))
(fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))
(+ (* 2 (pow t 2)) (pow l 2))
(fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))
(+ (* 2 (pow t 2)) (pow l 2))
(fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))
(pow l 2)
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(* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(.f64 (.f64 l l) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) (.f64 l l)) #s(literal 1 binary64)))
(* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(.f64 (.f64 l l) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) (.f64 l l)) #s(literal 1 binary64)))
(* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(.f64 (.f64 l l) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) (.f64 l l)) #s(literal 1 binary64)))
(pow l 2)
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(.f64 (.f64 l l) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) (.f64 l l)) #s(literal 1 binary64)))
(pow l 2)
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(+ (* 2 (pow t 2)) (pow l 2))
(fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))
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(fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))
(* 2 (pow t 2))
(.f64 #s(literal 2 binary64) (.f64 t t))
(* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))
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(* 2 (pow t 2))
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(* t (+ (* -1 (* (/ (* (pow t 2) (* (sqrt 2) (+ 1 x))) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))
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(* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))))
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(* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (pow t 2) (+ (* -1/2 (* (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* 8 (/ (pow (+ 1 x) 3) (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 4)))) (/ (* (+ 1 x) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))))))
(.f64 t (fma.f64 (.f64 t t) (fma.f64 (.f64 (.f64 t t) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l)))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))) (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l)))) (.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))))) (.f64 (.f64 t t) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 #s(literal -3 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))) (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l)))) (.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))))) (.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))) (/.f64 (.f64 #s(literal 8 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (pow.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))) #s(literal 4 binary64))))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))) (.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))) (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))))) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))))))
(* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))
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(+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))))
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(- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))
(-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l))
(- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))))) (pow l 2))
(-.f64 (fma.f64 x (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t)))) (.f64 l l))
(- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))))) (+ (* 2 (pow t 2)) (pow l 2))))) (pow l 2))
(-.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) x)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 l l))
(- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))))))) (+ (* 2 (pow t 2)) (pow l 2))))) (pow l 2))
(-.f64 (fma.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) x) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64))) (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t)))) (.f64 l l))
(* 2 (pow t 2))
(.f64 #s(literal 2 binary64) (.f64 t t))
(- (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (pow t 2)) (/ (pow l 2) x))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x)))
(+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x))
(- (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (/ (pow t 2) (pow x 2))) (+ (* 2 (pow t 2)) (+ (/ (pow l 2) x) (/ (pow l 2) (pow x 2)))))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x)) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (/.f64 (.f64 t t) (.f64 x x))) (-.f64 (+.f64 (/.f64 (.f64 l l) x) (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (.f64 l l) (.f64 x x)))) (-.f64 (/.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (.f64 x x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x))))
(- (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (/ (pow t 2) (pow x 3))) (+ (* 2 (pow t 2)) (+ (/ (pow l 2) x) (/ (pow l 2) (pow x 3)))))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x)) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 3))) (* -1 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow x 2))))))
(-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (/.f64 (.f64 t t) (.f64 x (.f64 x x)))) (+.f64 (/.f64 (.f64 l l) x) (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (.f64 l l) (.f64 x (.f64 x x)))))) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (.f64 x x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 x (.f64 x x)))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x)))
(* 2 (pow t 2))
(.f64 #s(literal 2 binary64) (.f64 t t))
(- (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (pow t 2)) (/ (pow l 2) x))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x)))
(+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x))
(+ (* -1 (/ (- (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x))) (+ (* 2 (/ (pow t 2) x)) (/ (pow l 2) x))) x)) (* 2 (pow t 2)))
(fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x))) (neg.f64 x)))
(+ (* -1 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (+ (* 2 (/ (pow t 2) x)) (/ (pow l 2) x))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x))) x))) x)) (* 2 (pow t 2)))
(-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x)) (fma.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x))) x)) x))
(* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1)))
(.f64 (.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))
(+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(fma.f64 (.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))) (.f64 (*.f64 l l) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(fma.f64 (.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))) (.f64 (*.f64 l l) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(fma.f64 (.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))) (.f64 (*.f64 l l) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(.f64 (.f64 l l) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))
(.f64 (.f64 l l) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 l (.f64 l (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))
(.f64 (.f64 l l) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 l (.f64 l (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))
(.f64 (.f64 l l) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 l (.f64 l (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(.f64 (.f64 l l) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))
(.f64 (.f64 l l) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 l (.f64 l (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))
(.f64 (.f64 l l) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 l (.f64 l (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))
(.f64 (.f64 l l) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 l (.f64 l (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))
(fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l)))
(- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (- x 1))) (pow l 2))
(-.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (.f64 (.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))) (.f64 l l))
(- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (- x 1))) (pow l 2))
(-.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (.f64 (.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))) (.f64 l l))
(- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (- x 1))) (pow l 2))
(-.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (.f64 (.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))) (.f64 l l))
(* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1)))
(.f64 (.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))
(* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))
(.f64 (.f64 t t) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) (.f64 t t))) (/.f64 (.f64 l l) (neg.f64 (.f64 t t)))))
(* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))
(.f64 (.f64 t t) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) (.f64 t t))) (/.f64 (.f64 l l) (neg.f64 (.f64 t t)))))
(* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))
(.f64 (.f64 t t) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) (.f64 t t))) (/.f64 (.f64 l l) (neg.f64 (.f64 t t)))))
(* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1)))
(.f64 (.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))
(* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))
(.f64 (.f64 t t) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) (.f64 t t))) (/.f64 (.f64 l l) (neg.f64 (.f64 t t)))))
(* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))
(.f64 (.f64 t t) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) (.f64 t t))) (/.f64 (.f64 l l) (neg.f64 (.f64 t t)))))
(* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))
(.f64 (.f64 t t) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) (.f64 t t))) (/.f64 (.f64 l l) (neg.f64 (.f64 t t)))))

eval92.0ms (0.6%)

Memory: -8.8MiB live, 162.8MiB allocated
Compiler: Compiled 33 771 to 2 338 computations (93.1% saved)

prune93.0ms (0.6%)

Memory

-21.1MiB live, 219.9MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	541	20	561
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	542	20	562

Accuracy

90.5%

Counts

562 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
▶	74.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
	74.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
▶	3.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
▶	11.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (fma.f64 x x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 l (neg.f64 l)))))
	29.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (.f64 l (neg.f64 l)))))
	8.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 x #s(literal 1 binary64))) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (.f64 l (neg.f64 l)))))
	25.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 x #s(literal 1 binary64))) (*.f64 l (neg.f64 l)))))
	35.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l) l (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)))))
	28.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
	55.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (/.f64 (.f64 t t) (.f64 x x))) (-.f64 (+.f64 (/.f64 (.f64 l l) x) (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (.f64 l l) (.f64 x x)))) (-.f64 (/.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (.f64 x x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x))))))
	56.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (*.f64 l l) x))) (neg.f64 x)))))
	3.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 l l)) (.f64 l l))))
	56.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x))))
▶	41.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (.f64 (*.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))))
	42.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 t t))))
	73.8%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))
	4.3%	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l)))))
▶	73.2%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
	24.5%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))))

Compiler

Compiled 1 154 to 678 computations (41.2% saved)

simplify332.0ms (2.3%)

Memory

12.0MiB live, 649.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (fma.f64 x x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 l (neg.f64 l)))))
✓	cost-diff	128	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	576	(fma.f64 (/.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (fma.f64 x x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 l (neg.f64 l)))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
✓	cost-diff	896	(+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
✓	cost-diff	0	(sqrt.f64 (.f64 (.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (.f64 (*.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))))
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	cost-diff	2240	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))

Rules

16 310×	`accelerator-lowering-fma.f32`
16 310×	`accelerator-lowering-fma.f64`
4 202×	`-lowering-.f32`
4 202×	`-lowering-.f64`
2 582×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	406
1	110	395
2	285	395
3	739	377
4	2391	361
5	6260	361
0	8050	348

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* (sqrt 2) t) (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (+ x -1)))))
(* (sqrt 2) t)
(sqrt 2)
2
t
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (+ x -1))))
(* t (sqrt 2))
(sqrt (/ (+ 1 x) (+ x -1)))
(/ (+ 1 x) (+ x -1))
(+ 1 x)
1
x
(+ x -1)
-1
(* (sqrt 2) (sqrt 1/2))
(sqrt 2)
2
(sqrt 1/2)
1/2
(/ (* (sqrt 2) t) (sqrt (* (* t t) (/ (+ (* 2 x) 2) (+ x -1)))))
(* (sqrt 2) t)
(sqrt 2)
2
t
(sqrt (* (* t t) (/ (+ (* 2 x) 2) (+ x -1))))
(* (* t t) (/ (+ (* 2 x) 2) (+ x -1)))
(* t t)
(/ (+ (* 2 x) 2) (+ x -1))
(+ (* 2 x) 2)
x
(+ x -1)
-1
(/ (* (sqrt 2) t) (* l (sqrt (+ (/ x (+ x -1)) (+ (/ 1 (+ x -1)) -1)))))
(* (sqrt 2) t)
(sqrt 2)
2
t
(* l (sqrt (+ (/ x (+ x -1)) (+ (/ 1 (+ x -1)) -1))))
l
(sqrt (+ (/ x (+ x -1)) (+ (/ 1 (+ x -1)) -1)))
(+ (/ x (+ x -1)) (+ (/ 1 (+ x -1)) -1))
(/ x (+ x -1))
x
(+ x -1)
-1
(+ (/ 1 (+ x -1)) -1)
(/ 1 (+ x -1))
1
(/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* l l) (* 2 (* t t))) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (* l (neg l)))))
(* (sqrt 2) t)
(sqrt 2)
2
t
(sqrt (+ (* (/ (+ (* l l) (* 2 (* t t))) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (* l (neg l))))
(+ (* (/ (+ (* l l) (* 2 (* t t))) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (* l (neg l)))
(/ (+ (* l l) (* 2 (* t t))) (+ (* x x) -1))
(+ (* l l) (* 2 (* t t)))
l
(* 2 (* t t))
(* t t)
(+ (* x x) -1)
x
-1
(* (+ x 1) (+ x 1))
(+ x 1)
1
(* l (neg l))
(neg l)

Outputs
(/ (* (sqrt 2) t) (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (+ x -1)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(* (sqrt 2) t)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
t
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (+ x -1))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(* t (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt (/ (+ 1 x) (+ x -1)))
(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))
(/ (+ 1 x) (+ x -1))
(/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ x -1)
(+.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(* (sqrt 2) (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ (* (sqrt 2) t) (sqrt (* (* t t) (/ (+ (* 2 x) 2) (+ x -1)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (.f64 #s(literal 2 binary64) (*.f64 t (fma.f64 t x t))) (+.f64 x #s(literal -1 binary64)))))
(* (sqrt 2) t)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
t
(sqrt (* (* t t) (/ (+ (* 2 x) 2) (+ x -1))))
(sqrt.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t (fma.f64 t x t))) (+.f64 x #s(literal -1 binary64))))
(* (* t t) (/ (+ (* 2 x) 2) (+ x -1)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 t (fma.f64 t x t))) (+.f64 x #s(literal -1 binary64)))
(* t t)
(*.f64 t t)
(/ (+ (* 2 x) 2) (+ x -1))
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))
(+ (* 2 x) 2)
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
x
(+ x -1)
(+.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(/ (* (sqrt 2) t) (* l (sqrt (+ (/ x (+ x -1)) (+ (/ 1 (+ x -1)) -1)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
(* (sqrt 2) t)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
t
(* l (sqrt (+ (/ x (+ x -1)) (+ (/ 1 (+ x -1)) -1))))
(*.f64 l (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
l
(sqrt (+ (/ x (+ x -1)) (+ (/ 1 (+ x -1)) -1)))
(sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(+ (/ x (+ x -1)) (+ (/ 1 (+ x -1)) -1))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))
(/ x (+ x -1))
(/.f64 x (+.f64 x #s(literal -1 binary64)))
x
(+ x -1)
(+.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(+ (/ 1 (+ x -1)) -1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/ 1 (+ x -1))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* l l) (* 2 (* t t))) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (* l (neg l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64)))) (*.f64 l l))))
(* (sqrt 2) t)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
t
(sqrt (+ (* (/ (+ (* l l) (* 2 (* t t))) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (* l (neg l))))
(sqrt.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)))
(+ (* (/ (+ (* l l) (* 2 (* t t))) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (* l (neg l)))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64)))) (.f64 l l))
(/ (+ (* l l) (* 2 (* t t))) (+ (* x x) -1))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (fma.f64 x x #s(literal -1 binary64)))
(+ (* l l) (* 2 (* t t)))
(fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))
l
(* 2 (* t t))
(.f64 #s(literal 2 binary64) (.f64 t t))
(* t t)
(*.f64 t t)
(+ (* x x) -1)
(fma.f64 x x #s(literal -1 binary64))
x
-1
#s(literal -1 binary64)
(* (+ x 1) (+ x 1))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(+ x 1)
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(* l (neg l))
(neg.f64 (*.f64 l l))
(neg l)
(neg.f64 l)

localize290.0ms (2%)

Memory

12.2MiB live, 567.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	accuracy	78.1%	(/.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (fma.f64 x x #s(literal -1 binary64)))
✓	accuracy	77.4%	(sqrt.f64 (fma.f64 (/.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (fma.f64 x x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 l (neg.f64 l))))
✓	accuracy	58.8%	(fma.f64 (/.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (fma.f64 x x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 l (neg.f64 l)))
✓	accuracy	99.7%	(*.f64 l (sqrt.f64 (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
✓	accuracy	99.5%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	accuracy	96.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
✓	accuracy	44.2%	(+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))
✓	accuracy	99.6%	(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	99.5%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	accuracy	72.5%	(sqrt.f64 (.f64 (.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	99.1%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
✓	accuracy	100.0%	(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))
✓	accuracy	99.5%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	accuracy	99.5%	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))

Samples

55.0ms	93×	1	valid
43.0ms	43×	2	valid
35.0ms	101×	0	invalid
17.0ms	14×	3	valid
2.0ms	5×	0	valid

Compiler

Compiled 390 to 48 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-mult: 32.0ms (29.1% of total)

ival-div: 29.0ms (26.4% of total)

ival-sqrt: 17.0ms (15.5% of total)

ival-add: 17.0ms (15.5% of total)

adjust: 12.0ms (10.9% of total)

ival-neg: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

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

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

series100.0ms (0.7%)

Memory

-27.1MiB live, 254.4MiB allocated

Counts

20 → 396

Calls

Call 1

Inputs
#<alt (/ (* (sqrt 2) t) (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (+ x -1)))))>
#<alt (* (sqrt 2) t)>
#<alt (sqrt 2)>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (+ x -1))))>
#<alt (* (sqrt 2) (sqrt 1/2))>
#<alt (sqrt 1/2)>
#<alt (/ (* (sqrt 2) t) (sqrt (* (* t t) (/ (+ (* 2 x) 2) (+ x -1)))))>
#<alt (sqrt (* (* t t) (/ (+ (* 2 x) 2) (+ x -1))))>
#<alt (+ (/ x (+ x -1)) (+ (/ 1 (+ x -1)) -1))>
#<alt (/ (* (sqrt 2) t) (* l (sqrt (+ (/ x (+ x -1)) (+ (/ 1 (+ x -1)) -1)))))>
#<alt (+ (* (/ (+ (* l l) (* 2 (* t t))) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (* l (neg l)))>
#<alt (* (+ x 1) (+ x 1))>
#<alt (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* l l) (* 2 (* t t))) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (* l (neg l)))))>
#<alt (* t (sqrt 2))>
#<alt (sqrt (/ (+ 1 x) (+ x -1)))>
#<alt (/ (+ (* 2 x) 2) (+ x -1))>
#<alt (* (* t t) (/ (+ (* 2 x) 2) (+ x -1)))>
#<alt (* l (sqrt (+ (/ x (+ x -1)) (+ (/ 1 (+ x -1)) -1))))>
#<alt (sqrt (+ (* (/ (+ (* l l) (* 2 (* t t))) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (* l (neg l))))>
#<alt (/ (+ (* l l) (* 2 (* t t))) (+ (* x x) -1))>

Outputs
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (/ x (sqrt -1)))>
#<alt (+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))>
#<alt (+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1)))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))>
#<alt (- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))>
#<alt 1>
#<alt (+ 1 (/ 1 (* x (pow (sqrt -1) 2))))>
#<alt (+ 1 (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2)))) (/ 1 (pow (sqrt -1) 2))) x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (pow (sqrt -1) 2))))) x)) (/ 1 (pow (sqrt -1) 2))) x)))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* t (* (sqrt -1) (sqrt 2)))>
#<alt (+ (* -1 (/ (* t (* x (sqrt 2))) (sqrt -1))) (* t (* (sqrt -1) (sqrt 2))))>
#<alt (+ (* t (* (sqrt -1) (sqrt 2))) (* x (+ (* -1 (/ (* t (sqrt 2)) (sqrt -1))) (* -1/2 (/ (* t (* x (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2)))))) (sqrt -1))))))>
#<alt (+ (* t (* (sqrt -1) (sqrt 2))) (* x (+ (* -1 (/ (* t (sqrt 2)) (sqrt -1))) (* x (+ (* -1/2 (/ (* t (* x (* (sqrt 2) (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4))))))) (sqrt -1))) (* -1/2 (/ (* t (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))))))>
#<alt (* t (sqrt 2))>
#<alt (+ (* t (sqrt 2)) (/ (* t (sqrt 2)) x))>
#<alt (+ (* 1/2 (/ (* t (sqrt 2)) (pow x 2))) (+ (* t (sqrt 2)) (/ (* t (sqrt 2)) x)))>
#<alt (+ (* 1/2 (/ (* t (sqrt 2)) (pow x 2))) (+ (* 1/2 (/ (* t (sqrt 2)) (pow x 3))) (+ (* t (sqrt 2)) (/ (* t (sqrt 2)) x))))>
#<alt (* t (* (pow (sqrt -1) 2) (sqrt 2)))>
#<alt (+ (* -1 (/ (* t (sqrt 2)) x)) (* t (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (/ (* t (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2))))) x)) (* t (sqrt 2))) x)) (* t (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* t (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2)))))) (* -1/2 (/ (* t (* (sqrt 2) (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))))) x))) x)) (* t (sqrt 2))) x)) (* t (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* (sqrt 2) (sqrt (/ (- x 1) (+ 2 (* 2 x)))))>
#<alt (* (sqrt 2) (sqrt (/ (- x 1) (+ 2 (* 2 x)))))>
#<alt (* (sqrt 2) (sqrt (/ (- x 1) (+ 2 (* 2 x)))))>
#<alt (* (sqrt 2) (sqrt (/ (- x 1) (+ 2 (* 2 x)))))>
#<alt (* (sqrt 2) (sqrt (/ (- x 1) (+ 2 (* 2 x)))))>
#<alt (* (sqrt 2) (sqrt (/ (- x 1) (+ 2 (* 2 x)))))>
#<alt (* (sqrt 2) (sqrt (/ (- x 1) (+ 2 (* 2 x)))))>
#<alt (* (sqrt 2) (sqrt (/ (- x 1) (+ 2 (* 2 x)))))>
#<alt (* -1 (* (sqrt 2) (sqrt (/ (- x 1) (+ 2 (* 2 x))))))>
#<alt (* -1 (* (sqrt 2) (sqrt (/ (- x 1) (+ 2 (* 2 x))))))>
#<alt (* -1 (* (sqrt 2) (sqrt (/ (- x 1) (+ 2 (* 2 x))))))>
#<alt (* -1 (* (sqrt 2) (sqrt (/ (- x 1) (+ 2 (* 2 x))))))>
#<alt (* (sqrt -1/2) (sqrt 2))>
#<alt (+ (* 1/2 (/ (* x (sqrt 2)) (sqrt -1/2))) (* (sqrt -1/2) (sqrt 2)))>
#<alt (+ (* x (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1/2) 2)))))) (sqrt -1/2))) (* 1/2 (/ (sqrt 2) (sqrt -1/2))))) (* (sqrt -1/2) (sqrt 2)))>
#<alt (+ (* x (+ (* 1/2 (/ (sqrt 2) (sqrt -1/2))) (* x (+ (* -1/2 (/ (* (sqrt 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1/2) 2))))) (sqrt -1/2))) (* 1/2 (/ (* x (* (sqrt 2) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1/2) 2)))) (pow (sqrt -1/2) 2)))))) (sqrt -1/2))))))) (* (sqrt -1/2) (sqrt 2)))>
#<alt (* (sqrt 1/2) (sqrt 2))>
#<alt (+ (* -1/2 (/ (sqrt 2) (* x (sqrt 1/2)))) (* (sqrt 1/2) (sqrt 2)))>
#<alt (+ (* -1/2 (/ (sqrt 2) (* x (sqrt 1/2)))) (+ (* 1/2 (/ (* (sqrt 2) (- 1 (* 1/4 (/ 1 (pow (sqrt 1/2) 2))))) (* (pow x 2) (sqrt 1/2)))) (* (sqrt 1/2) (sqrt 2))))>
#<alt (+ (* -1/2 (/ (sqrt 2) (* x (sqrt 1/2)))) (+ (* -1/2 (/ (* (sqrt 2) (+ 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (* (pow x 3) (sqrt 1/2)))) (+ (* 1/2 (/ (* (sqrt 2) (- 1 (* 1/4 (/ 1 (pow (sqrt 1/2) 2))))) (* (pow x 2) (sqrt 1/2)))) (* (sqrt 1/2) (sqrt 2)))))>
#<alt (/ (* (sqrt -1/2) (sqrt 2)) (sqrt -1))>
#<alt (+ (* 1/2 (/ (sqrt 2) (* x (* (sqrt -1) (sqrt -1/2))))) (/ (* (sqrt -1/2) (sqrt 2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/2 (/ (sqrt 2) (* (sqrt -1) (sqrt -1/2)))) (* 1/2 (/ (* (sqrt 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1/2) 2))))) (* x (* (sqrt -1) (sqrt -1/2)))))) x)) (/ (* (sqrt -1/2) (sqrt 2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1/2) 2))))) (* (sqrt -1) (sqrt -1/2)))) (* 1/2 (/ (* (sqrt 2) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1/2) 2)))) (pow (sqrt -1/2) 2))))) (* x (* (sqrt -1) (sqrt -1/2)))))) x)) (* -1/2 (/ (sqrt 2) (* (sqrt -1) (sqrt -1/2))))) x)) (/ (* (sqrt -1/2) (sqrt 2)) (sqrt -1)))>
#<alt (* t (sqrt (/ (+ 2 (* 2 x)) (- x 1))))>
#<alt (* t (sqrt (/ (+ 2 (* 2 x)) (- x 1))))>
#<alt (* t (sqrt (/ (+ 2 (* 2 x)) (- x 1))))>
#<alt (* t (sqrt (/ (+ 2 (* 2 x)) (- x 1))))>
#<alt (* t (sqrt (/ (+ 2 (* 2 x)) (- x 1))))>
#<alt (* t (sqrt (/ (+ 2 (* 2 x)) (- x 1))))>
#<alt (* t (sqrt (/ (+ 2 (* 2 x)) (- x 1))))>
#<alt (* t (sqrt (/ (+ 2 (* 2 x)) (- x 1))))>
#<alt (* -1 (* t (sqrt (/ (+ 2 (* 2 x)) (- x 1)))))>
#<alt (* -1 (* t (sqrt (/ (+ 2 (* 2 x)) (- x 1)))))>
#<alt (* -1 (* t (sqrt (/ (+ 2 (* 2 x)) (- x 1)))))>
#<alt (* -1 (* t (sqrt (/ (+ 2 (* 2 x)) (- x 1)))))>
#<alt (* t (sqrt -2))>
#<alt (+ (* -2 (/ (* t x) (sqrt -2))) (* t (sqrt -2)))>
#<alt (+ (* t (sqrt -2)) (* x (+ (* -2 (/ t (sqrt -2))) (* -1/2 (/ (* t (* x (+ 4 (* 4 (/ 1 (pow (sqrt -2) 2)))))) (sqrt -2))))))>
#<alt (+ (* t (sqrt -2)) (* x (+ (* -2 (/ t (sqrt -2))) (* x (+ (* -1/2 (/ (* t (* x (+ 4 (* 2 (/ (+ 4 (* 4 (/ 1 (pow (sqrt -2) 2)))) (pow (sqrt -2) 2)))))) (sqrt -2))) (* -1/2 (/ (* t (+ 4 (* 4 (/ 1 (pow (sqrt -2) 2))))) (sqrt -2))))))))>
#<alt (* t (sqrt 2))>
#<alt (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2)))>
#<alt (+ (* 1/2 (/ (* t (- 4 (* 4 (/ 1 (pow (sqrt 2) 2))))) (* (pow x 2) (sqrt 2)))) (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2))))>
#<alt (+ (* 1/2 (/ (* t (- 4 (* 2 (/ (- 4 (* 4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (pow x 3) (sqrt 2)))) (+ (* 1/2 (/ (* t (- 4 (* 4 (/ 1 (pow (sqrt 2) 2))))) (* (pow x 2) (sqrt 2)))) (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2)))))>
#<alt (* t (* (sqrt -2) (sqrt -1)))>
#<alt (+ (* -2 (/ (* t (sqrt -1)) (* x (sqrt -2)))) (* t (* (sqrt -2) (sqrt -1))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (/ (* t (* (sqrt -1) (+ 4 (* 4 (/ 1 (pow (sqrt -2) 2)))))) (* x (sqrt -2)))) (* 2 (/ (* t (sqrt -1)) (sqrt -2)))) x)) (* t (* (sqrt -2) (sqrt -1))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* t (* (sqrt -1) (+ 4 (* 4 (/ 1 (pow (sqrt -2) 2)))))) (sqrt -2))) (* -1/2 (/ (* t (* (sqrt -1) (- 4 (* -2 (/ (+ 4 (* 4 (/ 1 (pow (sqrt -2) 2)))) (pow (sqrt -2) 2)))))) (* x (sqrt -2))))) x)) (* 2 (/ (* t (sqrt -1)) (sqrt -2)))) x)) (* t (* (sqrt -2) (sqrt -1))))>
#<alt -2>
#<alt (- (* -2 x) 2)>
#<alt (- (* x (- (* -2 x) 2)) 2)>
#<alt (- (* x (- (* x (- (* -2 x) 2)) 2)) 2)>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 2 (/ 1 x))) x)>
#<alt (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)>
#<alt (/ (+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) x)>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 2 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) x))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (/ (* t (* (sqrt -1/2) (sqrt 2))) l)>
#<alt (+ (* 1/4 (/ (* t (* x (sqrt 2))) (* l (sqrt -1/2)))) (/ (* t (* (sqrt -1/2) (sqrt 2))) l))>
#<alt (+ (* x (+ (* -1/32 (/ (* t (* x (sqrt 2))) (* l (pow (sqrt -1/2) 3)))) (* 1/4 (/ (* t (sqrt 2)) (* l (sqrt -1/2)))))) (/ (* t (* (sqrt -1/2) (sqrt 2))) l))>
#<alt (+ (* x (+ (* 1/4 (/ (* t (sqrt 2)) (* l (sqrt -1/2)))) (* x (+ (* -1/32 (/ (* t (sqrt 2)) (* l (pow (sqrt -1/2) 3)))) (* 1/128 (/ (* t (* x (sqrt 2))) (* l (pow (sqrt -1/2) 5)))))))) (/ (* t (* (sqrt -1/2) (sqrt 2))) l))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* x (+ (* -1/4 (* (/ (* t (sqrt 2)) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt (/ 1 x)))))>
#<alt (* x (+ (* -1/4 (* (/ (* t (sqrt 2)) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/32 (* (/ (* t (sqrt 2)) (* l (pow (sqrt 1/2) 3))) (sqrt (/ 1 (pow x 5))))) (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt (/ 1 x))))))>
#<alt (* x (+ (* -1/4 (* (/ (* t (sqrt 2)) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/32 (* (/ (* t (sqrt 2)) (* l (pow (sqrt 1/2) 3))) (sqrt (/ 1 (pow x 5))))) (+ (* -1/128 (* (/ (* t (sqrt 2)) (* l (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow x 7))))) (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt (/ 1 x)))))))>
#<alt (* -1 (* (/ (* t (* (sqrt -1) (* (sqrt -1/2) (sqrt 2)))) l) (sqrt x)))>
#<alt (* -1 (* x (+ (* -1/4 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* t (* (sqrt -1) (* (sqrt -1/2) (sqrt 2)))) l) (sqrt (/ 1 x))))))>
#<alt (* -1 (* x (+ (* -1/4 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/32 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (pow (sqrt -1/2) 3))) (sqrt (/ 1 (pow x 5))))) (* (/ (* t (* (sqrt -1) (* (sqrt -1/2) (sqrt 2)))) l) (sqrt (/ 1 x)))))))>
#<alt (* -1 (* x (+ (* -1/4 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/32 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (pow (sqrt -1/2) 3))) (sqrt (/ 1 (pow x 5))))) (+ (* -1/128 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (pow (sqrt -1/2) 5))) (sqrt (/ 1 (pow x 7))))) (* (/ (* t (* (sqrt -1) (* (sqrt -1/2) (sqrt 2)))) l) (sqrt (/ 1 x))))))))>
#<alt (* 2 (/ (* (pow t 2) (pow (+ 1 x) 2)) (- (pow x 2) 1)))>
#<alt (+ (* 2 (/ (* (pow t 2) (pow (+ 1 x) 2)) (- (pow x 2) 1))) (* (pow l 2) (- (/ (pow (+ 1 x) 2) (- (pow x 2) 1)) 1)))>
#<alt (+ (* 2 (/ (* (pow t 2) (pow (+ 1 x) 2)) (- (pow x 2) 1))) (* (pow l 2) (- (/ (pow (+ 1 x) 2) (- (pow x 2) 1)) 1)))>
#<alt (+ (* 2 (/ (* (pow t 2) (pow (+ 1 x) 2)) (- (pow x 2) 1))) (* (pow l 2) (- (/ (pow (+ 1 x) 2) (- (pow x 2) 1)) 1)))>
#<alt (* (pow l 2) (- (/ (pow (+ 1 x) 2) (- (pow x 2) 1)) 1))>
#<alt (* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (pow (+ 1 x) 2)) (* (pow l 2) (- (pow x 2) 1)))) (/ (pow (+ 1 x) 2) (- (pow x 2) 1))) 1))>
#<alt (* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (pow (+ 1 x) 2)) (* (pow l 2) (- (pow x 2) 1)))) (/ (pow (+ 1 x) 2) (- (pow x 2) 1))) 1))>
#<alt (* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (pow (+ 1 x) 2)) (* (pow l 2) (- (pow x 2) 1)))) (/ (pow (+ 1 x) 2) (- (pow x 2) 1))) 1))>
#<alt (* (pow l 2) (- (/ (pow (+ 1 x) 2) (- (pow x 2) 1)) 1))>
#<alt (* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (pow (+ 1 x) 2)) (* (pow l 2) (- (pow x 2) 1)))) (/ (pow (+ 1 x) 2) (- (pow x 2) 1))) 1))>
#<alt (* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (pow (+ 1 x) 2)) (* (pow l 2) (- (pow x 2) 1)))) (/ (pow (+ 1 x) 2) (- (pow x 2) 1))) 1))>
#<alt (* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (pow (+ 1 x) 2)) (* (pow l 2) (- (pow x 2) 1)))) (/ (pow (+ 1 x) 2) (- (pow x 2) 1))) 1))>
#<alt (+ (* -1 (pow l 2)) (/ (* (pow l 2) (pow (+ 1 x) 2)) (- (pow x 2) 1)))>
#<alt (+ (* -1 (pow l 2)) (+ (* 2 (/ (* (pow t 2) (pow (+ 1 x) 2)) (- (pow x 2) 1))) (/ (* (pow l 2) (pow (+ 1 x) 2)) (- (pow x 2) 1))))>
#<alt (+ (* -1 (pow l 2)) (+ (* 2 (/ (* (pow t 2) (pow (+ 1 x) 2)) (- (pow x 2) 1))) (/ (* (pow l 2) (pow (+ 1 x) 2)) (- (pow x 2) 1))))>
#<alt (+ (* -1 (pow l 2)) (+ (* 2 (/ (* (pow t 2) (pow (+ 1 x) 2)) (- (pow x 2) 1))) (/ (* (pow l 2) (pow (+ 1 x) 2)) (- (pow x 2) 1))))>
#<alt (* 2 (/ (* (pow t 2) (pow (+ 1 x) 2)) (- (pow x 2) 1)))>
#<alt (* (pow t 2) (+ (* -1 (/ (pow l 2) (pow t 2))) (+ (* 2 (/ (pow (+ 1 x) 2) (- (pow x 2) 1))) (/ (* (pow l 2) (pow (+ 1 x) 2)) (* (pow t 2) (- (pow x 2) 1))))))>
#<alt (* (pow t 2) (+ (* -1 (/ (pow l 2) (pow t 2))) (+ (* 2 (/ (pow (+ 1 x) 2) (- (pow x 2) 1))) (/ (* (pow l 2) (pow (+ 1 x) 2)) (* (pow t 2) (- (pow x 2) 1))))))>
#<alt (* (pow t 2) (+ (* -1 (/ (pow l 2) (pow t 2))) (+ (* 2 (/ (pow (+ 1 x) 2) (- (pow x 2) 1))) (/ (* (pow l 2) (pow (+ 1 x) 2)) (* (pow t 2) (- (pow x 2) 1))))))>
#<alt (* 2 (/ (* (pow t 2) (pow (+ 1 x) 2)) (- (pow x 2) 1)))>
#<alt (* (pow t 2) (+ (* -1 (/ (pow l 2) (pow t 2))) (+ (* 2 (/ (pow (+ 1 x) 2) (- (pow x 2) 1))) (/ (* (pow l 2) (pow (+ 1 x) 2)) (* (pow t 2) (- (pow x 2) 1))))))>
#<alt (* (pow t 2) (+ (* -1 (/ (pow l 2) (pow t 2))) (+ (* 2 (/ (pow (+ 1 x) 2) (- (pow x 2) 1))) (/ (* (pow l 2) (pow (+ 1 x) 2)) (* (pow t 2) (- (pow x 2) 1))))))>
#<alt (* (pow t 2) (+ (* -1 (/ (pow l 2) (pow t 2))) (+ (* 2 (/ (pow (+ 1 x) 2) (- (pow x 2) 1))) (/ (* (pow l 2) (pow (+ 1 x) 2)) (* (pow t 2) (- (pow x 2) 1))))))>
#<alt (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2)))>
#<alt (+ (* -2 (* x (+ (* 2 (pow t 2)) (pow l 2)))) (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2))))>
#<alt (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* -1 (pow l 2)) (* x (+ (* -2 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))))))))>
#<alt (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* -1 (pow l 2)) (* x (+ (* -2 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (+ (* -2 (* x (+ (* 2 (pow t 2)) (pow l 2)))) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (+ (* 2 (pow t 2)) (pow l 2))))))))>
#<alt (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))>
#<alt (+ (* -1 (pow l 2)) (+ (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) x)) (+ (* 2 (pow t 2)) (pow l 2))))>
#<alt (- (+ (* -1 (pow l 2)) (+ (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) x)) (+ (* 2 (/ (pow t 2) (pow x 2))) (+ (* 2 (pow t 2)) (+ (/ (pow l 2) (pow x 2)) (pow l 2)))))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 2))))>
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#<alt (+ (sqrt (+ (* -1 (pow l 2)) (/ (* (pow l 2) (pow (+ 1 x) 2)) (- (pow x 2) 1)))) (* (pow t 2) (+ (* -1/2 (* (/ (* (pow t 2) (pow (+ 1 x) 4)) (pow (- (pow x 2) 1) 2)) (sqrt (/ 1 (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (pow (+ 1 x) 2)) (- (pow x 2) 1))) 3))))) (* (/ (pow (+ 1 x) 2) (- (pow x 2) 1)) (sqrt (/ 1 (+ (* -1 (pow l 2)) (/ (* (pow l 2) (pow (+ 1 x) 2)) (- (pow x 2) 1)))))))))>
#<alt (+ (sqrt (+ (* -1 (pow l 2)) (/ (* (pow l 2) (pow (+ 1 x) 2)) (- (pow x 2) 1)))) (* (pow t 2) (+ (* (/ (pow (+ 1 x) 2) (- (pow x 2) 1)) (sqrt (/ 1 (+ (* -1 (pow l 2)) (/ (* (pow l 2) (pow (+ 1 x) 2)) (- (pow x 2) 1)))))) (* (pow t 2) (+ (* -1/2 (* (/ (pow (+ 1 x) 4) (pow (- (pow x 2) 1) 2)) (sqrt (/ 1 (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (pow (+ 1 x) 2)) (- (pow x 2) 1))) 3))))) (* 1/2 (* (/ (* (pow t 2) (pow (+ 1 x) 6)) (pow (- (pow x 2) 1) 3)) (sqrt (/ 1 (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (pow (+ 1 x) 2)) (- (pow x 2) 1))) 5))))))))))>
#<alt (* (* t (* (sqrt 2) (+ 1 x))) (sqrt (/ 1 (- (pow x 2) 1))))>
#<alt (* t (+ (* 1/2 (* (/ (+ (* -1 (pow l 2)) (/ (* (pow l 2) (pow (+ 1 x) 2)) (- (pow x 2) 1))) (* (pow t 2) (* (sqrt 2) (+ 1 x)))) (sqrt (- (pow x 2) 1)))) (* (* (sqrt 2) (+ 1 x)) (sqrt (/ 1 (- (pow x 2) 1))))))>
#<alt (* t (+ (* -1/8 (* (/ (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (pow (+ 1 x) 2)) (- (pow x 2) 1))) 2) (* (pow t 4) (* (pow (sqrt 2) 3) (pow (+ 1 x) 3)))) (sqrt (pow (- (pow x 2) 1) 3)))) (+ (* 1/2 (* (/ (+ (* -1 (pow l 2)) (/ (* (pow l 2) (pow (+ 1 x) 2)) (- (pow x 2) 1))) (* (pow t 2) (* (sqrt 2) (+ 1 x)))) (sqrt (- (pow x 2) 1)))) (* (* (sqrt 2) (+ 1 x)) (sqrt (/ 1 (- (pow x 2) 1)))))))>
#<alt (* t (+ (* -1/8 (* (/ (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (pow (+ 1 x) 2)) (- (pow x 2) 1))) 2) (* (pow t 4) (* (pow (sqrt 2) 3) (pow (+ 1 x) 3)))) (sqrt (pow (- (pow x 2) 1) 3)))) (+ (* 1/16 (* (/ (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (pow (+ 1 x) 2)) (- (pow x 2) 1))) 3) (* (pow t 6) (* (pow (sqrt 2) 5) (pow (+ 1 x) 5)))) (sqrt (pow (- (pow x 2) 1) 5)))) (+ (* 1/2 (* (/ (+ (* -1 (pow l 2)) (/ (* (pow l 2) (pow (+ 1 x) 2)) (- (pow x 2) 1))) (* (pow t 2) (* (sqrt 2) (+ 1 x)))) (sqrt (- (pow x 2) 1)))) (* (* (sqrt 2) (+ 1 x)) (sqrt (/ 1 (- (pow x 2) 1))))))))>
#<alt (* -1 (* (* t (* (sqrt 2) (+ 1 x))) (sqrt (/ 1 (- (pow x 2) 1)))))>
#<alt (* -1 (* t (+ (* 1/2 (* (/ (+ (* -1 (pow l 2)) (/ (* (pow l 2) (pow (+ 1 x) 2)) (- (pow x 2) 1))) (* (pow t 2) (* (sqrt 2) (+ 1 x)))) (sqrt (- (pow x 2) 1)))) (* (* (sqrt 2) (+ 1 x)) (sqrt (/ 1 (- (pow x 2) 1)))))))>
#<alt (* -1 (* t (+ (* -1/8 (* (/ (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (pow (+ 1 x) 2)) (- (pow x 2) 1))) 2) (* (pow t 4) (* (pow (sqrt 2) 3) (pow (+ 1 x) 3)))) (sqrt (pow (- (pow x 2) 1) 3)))) (+ (* 1/2 (* (/ (+ (* -1 (pow l 2)) (/ (* (pow l 2) (pow (+ 1 x) 2)) (- (pow x 2) 1))) (* (pow t 2) (* (sqrt 2) (+ 1 x)))) (sqrt (- (pow x 2) 1)))) (* (* (sqrt 2) (+ 1 x)) (sqrt (/ 1 (- (pow x 2) 1))))))))>
#<alt (* -1 (* t (+ (* -1/8 (* (/ (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (pow (+ 1 x) 2)) (- (pow x 2) 1))) 2) (* (pow t 4) (* (pow (sqrt 2) 3) (pow (+ 1 x) 3)))) (sqrt (pow (- (pow x 2) 1) 3)))) (+ (* 1/16 (* (/ (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (pow (+ 1 x) 2)) (- (pow x 2) 1))) 3) (* (pow t 6) (* (pow (sqrt 2) 5) (pow (+ 1 x) 5)))) (sqrt (pow (- (pow x 2) 1) 5)))) (+ (* 1/2 (* (/ (+ (* -1 (pow l 2)) (/ (* (pow l 2) (pow (+ 1 x) 2)) (- (pow x 2) 1))) (* (pow t 2) (* (sqrt 2) (+ 1 x)))) (sqrt (- (pow x 2) 1)))) (* (* (sqrt 2) (+ 1 x)) (sqrt (/ 1 (- (pow x 2) 1)))))))))>
#<alt (sqrt (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2))))>
#<alt (+ (sqrt (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2)))) (* -1 (* (* x (+ (* 2 (pow t 2)) (pow l 2))) (sqrt (/ 1 (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2))))))))>
#<alt (+ (sqrt (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2)))) (* x (+ (* -1 (* (sqrt (/ 1 (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2))))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/2 (* (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (+ (/ (pow (+ (* 2 (pow t 2)) (pow l 2)) 2) (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2)))) (pow l 2))))) (sqrt (/ 1 (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2))))))))))>
#<alt (+ (sqrt (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2)))) (* x (+ (* -1 (* (sqrt (/ 1 (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2))))) (+ (* 2 (pow t 2)) (pow l 2)))) (* x (+ (* -1/2 (* (* x (+ (* -1 (/ (* (+ (* 2 (pow t 2)) (pow l 2)) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (+ (/ (pow (+ (* 2 (pow t 2)) (pow l 2)) 2) (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2)))) (pow l 2))))) (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2))))) (* 2 (+ (* 2 (pow t 2)) (pow l 2))))) (sqrt (/ 1 (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2))))))) (* 1/2 (* (sqrt (/ 1 (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (+ (/ (pow (+ (* 2 (pow t 2)) (pow l 2)) 2) (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2)))) (pow l 2)))))))))))>
#<alt (sqrt (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))))>
#<alt (+ (sqrt (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))) (* (/ (+ (* 2 (pow t 2)) (pow l 2)) x) (sqrt (/ 1 (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))))))>
#<alt (+ (sqrt (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))) (+ (* 1/2 (* (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (/ (pow (+ (* 2 (pow t 2)) (pow l 2)) 2) (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))))) (pow x 2)) (sqrt (/ 1 (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))))))) (* (/ (+ (* 2 (pow t 2)) (pow l 2)) x) (sqrt (/ 1 (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))))))))>
#<alt (+ (sqrt (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))) (+ (* -1/2 (* (/ (+ (* -2 (+ (* 2 (pow t 2)) (pow l 2))) (/ (* (+ (* 2 (pow t 2)) (pow l 2)) (- (+ (* 2 (pow t 2)) (pow l 2)) (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (/ (pow (+ (* 2 (pow t 2)) (pow l 2)) 2) (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))))))) (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))))) (pow x 3)) (sqrt (/ 1 (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))))))) (+ (* 1/2 (* (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (/ (pow (+ (* 2 (pow t 2)) (pow l 2)) 2) (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))))) (pow x 2)) (sqrt (/ 1 (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))))))) (* (/ (+ (* 2 (pow t 2)) (pow l 2)) x) (sqrt (/ 1 (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))))))))>
#<alt (sqrt (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))))>
#<alt (+ (sqrt (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))) (* (/ (+ (* 2 (pow t 2)) (pow l 2)) x) (sqrt (/ 1 (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))))))>
#<alt (+ (sqrt (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))))) (+ (* 2 (pow t 2)) (pow l 2)))) (* -1/2 (* (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (/ (pow (+ (* 2 (pow t 2)) (pow l 2)) 2) (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))))) x) (sqrt (/ 1 (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))))))) x)))>
#<alt (+ (sqrt (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))))) (+ (* 2 (pow t 2)) (pow l 2)))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (/ (pow (+ (* 2 (pow t 2)) (pow l 2)) 2) (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))))))) (* 1/2 (* (/ (+ (* -1 (/ (* (+ (* 2 (pow t 2)) (pow l 2)) (- (+ (* 2 (pow t 2)) (pow l 2)) (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (/ (pow (+ (* 2 (pow t 2)) (pow l 2)) 2) (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))))))) (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))))) (* 2 (+ (* 2 (pow t 2)) (pow l 2)))) x) (sqrt (/ 1 (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))))))) x))) x)))>
#<alt (* 2 (/ (pow t 2) (- (pow x 2) 1)))>
#<alt (+ (* 2 (/ (pow t 2) (- (pow x 2) 1))) (/ (pow l 2) (- (pow x 2) 1)))>
#<alt (+ (* 2 (/ (pow t 2) (- (pow x 2) 1))) (/ (pow l 2) (- (pow x 2) 1)))>
#<alt (+ (* 2 (/ (pow t 2) (- (pow x 2) 1))) (/ (pow l 2) (- (pow x 2) 1)))>
#<alt (/ (pow l 2) (- (pow x 2) 1))>
#<alt (* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) (- (pow x 2) 1)))) (/ 1 (- (pow x 2) 1))))>
#<alt (* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) (- (pow x 2) 1)))) (/ 1 (- (pow x 2) 1))))>
#<alt (* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) (- (pow x 2) 1)))) (/ 1 (- (pow x 2) 1))))>
#<alt (/ (pow l 2) (- (pow x 2) 1))>
#<alt (* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) (- (pow x 2) 1)))) (/ 1 (- (pow x 2) 1))))>
#<alt (* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) (- (pow x 2) 1)))) (/ 1 (- (pow x 2) 1))))>
#<alt (* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) (- (pow x 2) 1)))) (/ 1 (- (pow x 2) 1))))>
#<alt (/ (pow l 2) (- (pow x 2) 1))>
#<alt (+ (* 2 (/ (pow t 2) (- (pow x 2) 1))) (/ (pow l 2) (- (pow x 2) 1)))>
#<alt (+ (* 2 (/ (pow t 2) (- (pow x 2) 1))) (/ (pow l 2) (- (pow x 2) 1)))>
#<alt (+ (* 2 (/ (pow t 2) (- (pow x 2) 1))) (/ (pow l 2) (- (pow x 2) 1)))>
#<alt (* 2 (/ (pow t 2) (- (pow x 2) 1)))>
#<alt (* (pow t 2) (+ (* 2 (/ 1 (- (pow x 2) 1))) (/ (pow l 2) (* (pow t 2) (- (pow x 2) 1)))))>
#<alt (* (pow t 2) (+ (* 2 (/ 1 (- (pow x 2) 1))) (/ (pow l 2) (* (pow t 2) (- (pow x 2) 1)))))>
#<alt (* (pow t 2) (+ (* 2 (/ 1 (- (pow x 2) 1))) (/ (pow l 2) (* (pow t 2) (- (pow x 2) 1)))))>
#<alt (* 2 (/ (pow t 2) (- (pow x 2) 1)))>
#<alt (* (pow t 2) (+ (* 2 (/ 1 (- (pow x 2) 1))) (/ (pow l 2) (* (pow t 2) (- (pow x 2) 1)))))>
#<alt (* (pow t 2) (+ (* 2 (/ 1 (- (pow x 2) 1))) (/ (pow l 2) (* (pow t 2) (- (pow x 2) 1)))))>
#<alt (* (pow t 2) (+ (* 2 (/ 1 (- (pow x 2) 1))) (/ (pow l 2) (* (pow t 2) (- (pow x 2) 1)))))>
#<alt (* -1 (+ (* 2 (pow t 2)) (pow l 2)))>
#<alt (+ (* -1 (* (pow x 2) (+ (* 2 (pow t 2)) (pow l 2)))) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))>
#<alt (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* 2 (pow t 2)) (pow l 2)))) (+ (* 2 (pow t 2)) (pow l 2)))))>
#<alt (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* 2 (pow t 2)) (pow l 2)))) (+ (* 2 (pow t 2)) (pow l 2)))) (+ (* 2 (pow t 2)) (pow l 2)))))>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 2))>
#<alt (/ (+ (* 2 (/ (pow t 2) (pow x 2))) (+ (* 2 (pow t 2)) (+ (/ (pow l 2) (pow x 2)) (pow l 2)))) (pow x 2))>
#<alt (/ (- (+ (* 2 (/ (pow t 2) (pow x 4))) (+ (* 2 (pow t 2)) (+ (/ (pow l 2) (pow x 4)) (pow l 2)))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (* 2 (/ (pow t 2) (pow x 6))) (+ (* 2 (pow t 2)) (+ (/ (pow l 2) (pow x 6)) (pow l 2)))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 4))))) (pow x 2))>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 2))>
#<alt (/ (+ (* 2 (/ (pow t 2) (pow x 2))) (+ (* 2 (pow t 2)) (+ (/ (pow l 2) (pow x 2)) (pow l 2)))) (pow x 2))>
#<alt (/ (- (+ (* 2 (/ (pow t 2) (pow x 4))) (+ (* 2 (pow t 2)) (+ (/ (pow l 2) (pow x 4)) (pow l 2)))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (* 2 (/ (pow t 2) (pow x 6))) (+ (* 2 (pow t 2)) (+ (/ (pow l 2) (pow x 6)) (pow l 2)))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 4))))) (pow x 2))>

Calls

99 calls:

Time	Variable		Point	Expression
11.0ms	x	@	inf	(/ (* (sqrt 2) t) (* l (sqrt (+ (/ x (+ x -1)) (+ (/ 1 (+ x -1)) -1)))))
4.0ms	l	@	0	(/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* l l) (* 2 (* t t))) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (* l (neg l)))))
4.0ms	t	@	0	(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (+ x -1))))
3.0ms	x	@	inf	(/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* l l) (* 2 (* t t))) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (* l (neg l)))))
3.0ms	x	@	0	(/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* l l) (* 2 (* t t))) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (* l (neg l)))))

rewrite384.0ms (2.6%)

Memory

8.1MiB live, 735.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 392×	`-lowering-.f32`
5 392×	`-lowering-.f64`
4 002×	`/-lowering-/.f32`
4 002×	`/-lowering-/.f64`
3 558×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	262
1	284	230
2	2747	223
0	8857	214

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 896

Calls

Call 1

Inputs
(/ (* (sqrt 2) t) (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (+ x -1)))))
(* (sqrt 2) t)
(sqrt 2)
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (+ x -1))))
(* (sqrt 2) (sqrt 1/2))
(sqrt 1/2)
(/ (* (sqrt 2) t) (sqrt (* (* t t) (/ (+ (* 2 x) 2) (+ x -1)))))
(sqrt (* (* t t) (/ (+ (* 2 x) 2) (+ x -1))))
(+ (/ x (+ x -1)) (+ (/ 1 (+ x -1)) -1))
(/ (* (sqrt 2) t) (* l (sqrt (+ (/ x (+ x -1)) (+ (/ 1 (+ x -1)) -1)))))
(+ (* (/ (+ (* l l) (* 2 (* t t))) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (* l (neg l)))
(* (+ x 1) (+ x 1))
(/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* l l) (* 2 (* t t))) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (* l (neg l)))))
(* t (sqrt 2))
(sqrt (/ (+ 1 x) (+ x -1)))
(/ (+ (* 2 x) 2) (+ x -1))
(* (* t t) (/ (+ (* 2 x) 2) (+ x -1)))
(* l (sqrt (+ (/ x (+ x -1)) (+ (/ 1 (+ x -1)) -1))))
(sqrt (+ (* (/ (+ (* l l) (* 2 (* t t))) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (* l (neg l))))
(/ (+ (* l l) (* 2 (* t t))) (+ (* x x) -1))

Outputs
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (neg.f64 t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))))
(neg.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (.f64 (neg.f64 t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))))
(/.f64 (sqrt.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (neg.f64 (.f64 (neg.f64 t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))))
(/.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 1 binary64)) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) t) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(/.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 t (.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))))
(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))))
(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))))
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simplify510.0ms (3.5%)

Memory

25.5MiB live, 892.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 946×	`-lowering-.f32`
7 946×	`-lowering-.f64`
6 994×	`accelerator-lowering-fma.f32`
6 994×	`accelerator-lowering-fma.f64`
4 704×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1331	15943
1	4402	14951
0	9653	13984

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

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

eval214.0ms (1.5%)

Memory: -17.7MiB live, 410.6MiB allocated
Compiler: Compiled 62 607 to 5 574 computations (91.1% saved)

prune339.0ms (2.3%)

Memory

16.1MiB live, 332.1MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	1 354	15	1 369
Fresh	13	2	15
Picked	4	1	5
Done	0	0	0
Total	1 371	18	1 389

Accuracy

99.4%

Counts

1 389 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.4%	(/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)
	16.2%	(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
	26.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 l (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (/.f64 l (sqrt.f64 #s(literal 2 binary64))))))
▶	53.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
	26.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
	26.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
	26.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))
	56.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x))))
	74.9%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
	74.8%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
▶	35.8%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
	74.7%	(.f64 (/.f64 #s(literal 1 binary64) t) (.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
	17.1%	(*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
	35.7%	(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
✓	73.2%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
	18.9%	(.f64 x (fma.f64 (/.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))))
▶	74.9%	(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
▶	74.3%	#s(literal 1 binary64)

Compiler

Compiled 642 to 432 computations (32.7% saved)

simplify284.0ms (2%)

Memory

-10.8MiB live, 356.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
✓	cost-diff	640	(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(*.f64 t (sqrt.f64 #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 (.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
✓	cost-diff	0	(/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))

Rules

6 174×	`-lowering-.f32`
6 174×	`-lowering-.f64`
4 880×	`accelerator-lowering-fma.f32`
4 880×	`accelerator-lowering-fma.f64`
3 680×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	223
1	79	217
2	225	213
3	660	213
4	2686	213
5	5859	213
6	7631	213
7	7645	211
8	7949	211
9	7959	211
10	7959	211
0	8137	204

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(sqrt (/ (+ x -1) (+ x 1)))
(/ (+ x -1) (+ x 1))
(+ x -1)
x
-1
(+ x 1)
1
1
(* (/ 1 (sqrt (+ 1 x))) (sqrt (+ x -1)))
(/ 1 (sqrt (+ 1 x)))
1
(sqrt (+ 1 x))
(+ 1 x)
x
(sqrt (+ x -1))
(+ x -1)
-1
(/ (* (* (* t (sqrt 1/2)) (sqrt 2)) (sqrt x)) l)
(* (* (* t (sqrt 1/2)) (sqrt 2)) (sqrt x))
(* (* t (sqrt 1/2)) (sqrt 2))
(* t (sqrt 1/2))
t
(sqrt 1/2)
1/2
(sqrt 2)
2
(sqrt x)
x
l
(/ (* (sqrt 2) t) (+ (* 1/2 (/ (* 2 (+ (* 2 (* t t)) (* l l))) (* (* t (sqrt 2)) x))) (* t (sqrt 2))))
(* (sqrt 2) t)
(sqrt 2)
2
t
(+ (* 1/2 (/ (* 2 (+ (* 2 (* t t)) (* l l))) (* (* t (sqrt 2)) x))) (* t (sqrt 2)))
1/2
(/ (* 2 (+ (* 2 (* t t)) (* l l))) (* (* t (sqrt 2)) x))
(* 2 (+ (* 2 (* t t)) (* l l)))
(+ (* 2 (* t t)) (* l l))
(* t t)
(* l l)
l
(* (* t (sqrt 2)) x)
(* t (sqrt 2))
x

Outputs
(sqrt (/ (+ x -1) (+ x 1)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/ (+ x -1) (+ x 1))
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(+ x -1)
(+.f64 x #s(literal -1 binary64))
x
-1
#s(literal -1 binary64)
(+ x 1)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
(* (/ 1 (sqrt (+ 1 x))) (sqrt (+ x -1)))
(/.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/ 1 (sqrt (+ 1 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(sqrt (+ 1 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(sqrt (+ x -1))
(sqrt.f64 (+.f64 x #s(literal -1 binary64)))
(+ x -1)
(+.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(/ (* (* (* t (sqrt 1/2)) (sqrt 2)) (sqrt x)) l)
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 t (sqrt.f64 x)) l)))
(* (* (* t (sqrt 1/2)) (sqrt 2)) (sqrt x))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (sqrt.f64 x))))
(* (* t (sqrt 1/2)) (sqrt 2))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(* t (sqrt 1/2))
(*.f64 t (sqrt.f64 #s(literal 1/2 binary64)))
t
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(sqrt x)
(sqrt.f64 x)
x
l
(/ (* (sqrt 2) t) (+ (* 1/2 (/ (* 2 (+ (* 2 (* t t)) (* l l))) (* (* t (sqrt 2)) x))) (* t (sqrt 2))))
(/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 t (.f64 t #s(literal 2 binary64)) (.f64 l l)) (.f64 x (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))))
(* (sqrt 2) t)
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
t
(+ (* 1/2 (/ (* 2 (+ (* 2 (* t t)) (* l l))) (* (* t (sqrt 2)) x))) (* t (sqrt 2)))
(fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 t (.f64 t #s(literal 2 binary64)) (.f64 l l)) (.f64 x (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
1/2
#s(literal 1/2 binary64)
(/ (* 2 (+ (* 2 (* t t)) (* l l))) (* (* t (sqrt 2)) x))
(.f64 (fma.f64 t t (.f64 l (.f64 #s(literal 1/2 binary64) l))) (/.f64 #s(literal 4 binary64) (.f64 x (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(* 2 (+ (* 2 (* t t)) (* l l)))
(fma.f64 t (.f64 t #s(literal 4 binary64)) (.f64 l (*.f64 #s(literal 2 binary64) l)))
(+ (* 2 (* t t)) (* l l))
(fma.f64 t (.f64 t #s(literal 2 binary64)) (.f64 l l))
(* t t)
(*.f64 t t)
(* l l)
(*.f64 l l)
l
(* (* t (sqrt 2)) x)
(.f64 x (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
x

localize106.0ms (0.7%)

Memory

13.4MiB live, 168.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	accuracy	99.5%	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
✓	accuracy	81.7%	(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) x))
✓	accuracy	99.7%	(.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
✓	accuracy	99.6%	(.f64 (.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.5%	(*.f64 t (sqrt.f64 #s(literal 1/2 binary64)))
✓	accuracy	97.9%	(/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)
✓	accuracy	100.0%	(sqrt.f64 (+.f64 x #s(literal -1 binary64)))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
✓	accuracy	100.0%	(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))

Samples

41.0ms	155×	0	valid
23.0ms	101×	0	invalid

Compiler

Compiled 218 to 37 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 18.0ms (39.9% of total)

ival-sqrt: 11.0ms (24.4% of total)

ival-div: 9.0ms (20% of total)

ival-add: 6.0ms (13.3% of total)

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

exact: 0.0ms (0% of total)

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

series64.0ms (0.4%)

Memory

-10.8MiB live, 67.4MiB allocated

Counts

19 → 324

Calls

Call 1

Inputs
#<alt (sqrt (/ (+ x -1) (+ x 1)))>
#<alt (/ (+ x -1) (+ x 1))>
#<alt (+ x -1)>
#<alt (+ x 1)>
#<alt (* (/ 1 (sqrt (+ 1 x))) (sqrt (+ x -1)))>
#<alt (/ 1 (sqrt (+ 1 x)))>
#<alt (sqrt (+ 1 x))>
#<alt (+ 1 x)>
#<alt (/ (* (* (* t (sqrt 1/2)) (sqrt 2)) (sqrt x)) l)>
#<alt (* (* (* t (sqrt 1/2)) (sqrt 2)) (sqrt x))>
#<alt (* (* t (sqrt 1/2)) (sqrt 2))>
#<alt (* t (sqrt 1/2))>
#<alt (+ (* 1/2 (/ (* 2 (+ (* 2 (* t t)) (* l l))) (* (* t (sqrt 2)) x))) (* t (sqrt 2)))>
#<alt (/ (* (sqrt 2) t) (+ (* 1/2 (/ (* 2 (+ (* 2 (* t t)) (* l l))) (* (* t (sqrt 2)) x))) (* t (sqrt 2))))>
#<alt (* (sqrt 2) t)>
#<alt (sqrt 2)>
#<alt (sqrt (+ x -1))>
#<alt (/ (* 2 (+ (* 2 (* t t)) (* l l))) (* (* t (sqrt 2)) x))>
#<alt (* t (sqrt 2))>

Outputs
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (/ x (sqrt -1)))>
#<alt (+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))>
#<alt (+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1)))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))>
#<alt (- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))>
#<alt (pow (sqrt -1) 2)>
#<alt (+ (/ 1 x) (pow (sqrt -1) 2))>
#<alt (+ (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) x)) 1) x)) (pow (sqrt -1) 2))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) x))) x)) 1) x)) (pow (sqrt -1) 2))>
#<alt -1>
#<alt (- (* 2 x) 1)>
#<alt (- (* x (+ 2 (* -2 x))) 1)>
#<alt (- (* x (+ 2 (* x (- (* 2 x) 2)))) 1)>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 x)))>
#<alt (- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x)))>
#<alt (- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 x)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))>
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (/ x (sqrt -1)))>
#<alt (+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))>
#<alt (+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1)))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))>
#<alt (- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))>
#<alt (pow (sqrt -1) 2)>
#<alt (+ (/ 1 x) (pow (sqrt -1) 2))>
#<alt (+ (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) x)) 1) x)) (pow (sqrt -1) 2))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) x))) x)) 1) x)) (pow (sqrt -1) 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 3/8 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))>
#<alt (sqrt (/ 1 x))>
#<alt (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* 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))))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* -1 (* (/ (* t (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))) l) (sqrt x)))>
#<alt (* -1 (* (/ (* t (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))) l) (sqrt x)))>
#<alt (* -1 (* (/ (* t (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))) l) (sqrt x)))>
#<alt (* -1 (* (/ (* t (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))) l) (sqrt x)))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* -1 (* (* t (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))) (sqrt x)))>
#<alt (* -1 (* (* t (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))) (sqrt x)))>
#<alt (* -1 (* (* t (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))) (sqrt x)))>
#<alt (* -1 (* (* t (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))) (sqrt x)))>
#<alt (* t (* (sqrt 1/2) (sqrt 2)))>
#<alt (* t (* (sqrt 1/2) (sqrt 2)))>
#<alt (* t (* (sqrt 1/2) (sqrt 2)))>
#<alt (* t (* (sqrt 1/2) (sqrt 2)))>
#<alt (* t (* (sqrt 1/2) (sqrt 2)))>
#<alt (* t (* (sqrt 1/2) (sqrt 2)))>
#<alt (* t (* (sqrt 1/2) (sqrt 2)))>
#<alt (* t (* (sqrt 1/2) (sqrt 2)))>
#<alt (* t (* (sqrt 1/2) (sqrt 2)))>
#<alt (* t (* (sqrt 1/2) (sqrt 2)))>
#<alt (* t (* (sqrt 1/2) (sqrt 2)))>
#<alt (* t (* (sqrt 1/2) (sqrt 2)))>
#<alt (* t (sqrt 1/2))>
#<alt (* t (sqrt 1/2))>
#<alt (* t (sqrt 1/2))>
#<alt (* t (sqrt 1/2))>
#<alt (* t (sqrt 1/2))>
#<alt (* t (sqrt 1/2))>
#<alt (* t (sqrt 1/2))>
#<alt (* t (sqrt 1/2))>
#<alt (* t (sqrt 1/2))>
#<alt (* t (sqrt 1/2))>
#<alt (* t (sqrt 1/2))>
#<alt (* t (sqrt 1/2))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (+ (* (pow t 2) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2)))))) (/ (pow l 2) (* x (sqrt 2)))) t)>
#<alt (/ (+ (* (pow t 2) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2)))))) (/ (pow l 2) (* x (sqrt 2)))) t)>
#<alt (/ (+ (* (pow t 2) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2)))))) (/ (pow l 2) (* x (sqrt 2)))) t)>
#<alt (* t (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2))))))>
#<alt (* t (+ (sqrt 2) (+ (* 2 (/ 1 (* x (sqrt 2)))) (/ (pow l 2) (* (pow t 2) (* x (sqrt 2)))))))>
#<alt (* t (+ (sqrt 2) (+ (* 2 (/ 1 (* x (sqrt 2)))) (/ (pow l 2) (* (pow t 2) (* x (sqrt 2)))))))>
#<alt (* t (+ (sqrt 2) (+ (* 2 (/ 1 (* x (sqrt 2)))) (/ (pow l 2) (* (pow t 2) (* x (sqrt 2)))))))>
#<alt (* -1 (* t (- (* -1 (sqrt 2)) (* 2 (/ 1 (* x (sqrt 2)))))))>
#<alt (* -1 (* t (- (+ (* -1 (sqrt 2)) (* -1 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2)))))) (* 2 (/ 1 (* x (sqrt 2)))))))>
#<alt (* -1 (* t (- (+ (* -1 (sqrt 2)) (* -1 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2)))))) (* 2 (/ 1 (* x (sqrt 2)))))))>
#<alt (* -1 (* t (- (+ (* -1 (sqrt 2)) (* -1 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2)))))) (* 2 (/ 1 (* x (sqrt 2)))))))>
#<alt (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2)))>
#<alt (+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2))))))>
#<alt (+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2))))))>
#<alt (+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2))))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (* (pow l 2) (+ (* 2 (/ t (* (pow l 2) (* x (sqrt 2))))) (+ (/ 1 (* t (* x (sqrt 2)))) (/ (* t (sqrt 2)) (pow l 2)))))>
#<alt (* (pow l 2) (+ (* 2 (/ t (* (pow l 2) (* x (sqrt 2))))) (+ (/ 1 (* t (* x (sqrt 2)))) (/ (* t (sqrt 2)) (pow l 2)))))>
#<alt (* (pow l 2) (+ (* 2 (/ t (* (pow l 2) (* x (sqrt 2))))) (+ (/ 1 (* t (* x (sqrt 2)))) (/ (* t (sqrt 2)) (pow l 2)))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (* (pow l 2) (+ (* 2 (/ t (* (pow l 2) (* x (sqrt 2))))) (+ (/ 1 (* t (* x (sqrt 2)))) (/ (* t (sqrt 2)) (pow l 2)))))>
#<alt (* (pow l 2) (+ (* 2 (/ t (* (pow l 2) (* x (sqrt 2))))) (+ (/ 1 (* t (* x (sqrt 2)))) (/ (* t (sqrt 2)) (pow l 2)))))>
#<alt (* (pow l 2) (+ (* 2 (/ t (* (pow l 2) (* x (sqrt 2))))) (+ (/ 1 (* t (* x (sqrt 2)))) (/ (* t (sqrt 2)) (pow l 2)))))>
#<alt (/ (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))) x)>
#<alt (/ (+ (* 2 (/ t (sqrt 2))) (+ (* t (* x (sqrt 2))) (/ (pow l 2) (* t (sqrt 2))))) x)>
#<alt (/ (+ (* 2 (/ t (sqrt 2))) (+ (* t (* x (sqrt 2))) (/ (pow l 2) (* t (sqrt 2))))) x)>
#<alt (/ (+ (* 2 (/ t (sqrt 2))) (+ (* t (* x (sqrt 2))) (/ (pow l 2) (* t (sqrt 2))))) x)>
#<alt (* t (sqrt 2))>
#<alt (+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2))))))>
#<alt (+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2))))))>
#<alt (+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2))))))>
#<alt (* t (sqrt 2))>
#<alt (+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2))))))>
#<alt (+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2))))))>
#<alt (+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2))))))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (* (pow t 2) (+ (* -1 (/ (* (pow t 2) (* (pow x 2) (* (pow (sqrt 2) 3) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2)))))))) (pow l 4))) (/ (* x (pow (sqrt 2) 2)) (pow l 2))))>
#<alt (* (pow t 2) (+ (* (pow t 2) (- (/ (* (pow t 2) (* (pow x 3) (* (pow (sqrt 2) 4) (pow (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2))))) 2)))) (pow l 6)) (/ (* (pow x 2) (* (pow (sqrt 2) 3) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2))))))) (pow l 4)))) (/ (* x (pow (sqrt 2) 2)) (pow l 2))))>
#<alt (* (pow t 2) (+ (* (pow t 2) (- (* (pow t 2) (- (* -1 (/ (* (pow t 2) (* (pow x 4) (* (pow (sqrt 2) 5) (pow (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2))))) 3)))) (pow l 8))) (* -1 (/ (* (pow x 3) (* (pow (sqrt 2) 4) (pow (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2))))) 2))) (pow l 6))))) (/ (* (pow x 2) (* (pow (sqrt 2) 3) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2))))))) (pow l 4)))) (/ (* x (pow (sqrt 2) 2)) (pow l 2))))>
#<alt (/ (sqrt 2) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2))))))>
#<alt (+ (* -1 (/ (pow l 2) (* (pow t 2) (* x (pow (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2))))) 2))))) (/ (sqrt 2) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2)))))))>
#<alt (- (+ (/ (sqrt 2) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2)))))) (/ (pow l 4) (* (pow t 4) (* (pow x 2) (* (sqrt 2) (pow (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2))))) 3)))))) (/ (pow l 2) (* (pow t 2) (* x (pow (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2))))) 2)))))>
#<alt (- (+ (* -1 (/ (pow l 6) (* (pow t 6) (* (pow x 3) (* (pow (sqrt 2) 2) (pow (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2))))) 4)))))) (/ (sqrt 2) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2))))))) (+ (* -1 (/ (pow l 4) (* (pow t 4) (* (pow x 2) (* (sqrt 2) (pow (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2))))) 3)))))) (/ (pow l 2) (* (pow t 2) (* x (pow (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2))))) 2))))))>
#<alt (* -1 (/ (sqrt 2) (- (* -1 (sqrt 2)) (* 2 (/ 1 (* x (sqrt 2)))))))>
#<alt (+ (* -1 (/ (sqrt 2) (- (* -1 (sqrt 2)) (* 2 (/ 1 (* x (sqrt 2))))))) (* -1 (/ (pow l 2) (* (pow t 2) (* x (pow (- (* -1 (sqrt 2)) (* 2 (/ 1 (* x (sqrt 2))))) 2))))))>
#<alt (+ (* -1 (/ (sqrt 2) (- (* -1 (sqrt 2)) (* 2 (/ 1 (* x (sqrt 2))))))) (+ (* -1 (/ (pow l 2) (* (pow t 2) (* x (pow (- (* -1 (sqrt 2)) (* 2 (/ 1 (* x (sqrt 2))))) 2))))) (* -1 (/ (pow l 4) (* (pow t 4) (* (pow x 2) (* (sqrt 2) (pow (- (* -1 (sqrt 2)) (* 2 (/ 1 (* x (sqrt 2))))) 3))))))))>
#<alt (+ (* -1 (/ (sqrt 2) (- (* -1 (sqrt 2)) (* 2 (/ 1 (* x (sqrt 2))))))) (+ (* -1 (/ (pow l 2) (* (pow t 2) (* x (pow (- (* -1 (sqrt 2)) (* 2 (/ 1 (* x (sqrt 2))))) 2))))) (+ (* -1 (/ (pow l 4) (* (pow t 4) (* (pow x 2) (* (sqrt 2) (pow (- (* -1 (sqrt 2)) (* 2 (/ 1 (* x (sqrt 2))))) 3)))))) (* -1 (/ (pow l 6) (* (pow t 6) (* (pow x 3) (* (pow (sqrt 2) 2) (pow (- (* -1 (sqrt 2)) (* 2 (/ 1 (* x (sqrt 2))))) 4)))))))))>
#<alt (/ (* t (sqrt 2)) (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2))))>
#<alt (+ (* -1 (/ (pow l 2) (* x (pow (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2))) 2)))) (/ (* t (sqrt 2)) (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2)))))>
#<alt (+ (* (pow l 2) (- (/ (pow l 2) (* t (* (pow x 2) (* (sqrt 2) (pow (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2))) 3))))) (/ 1 (* x (pow (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2))) 2))))) (/ (* t (sqrt 2)) (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2)))))>
#<alt (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1 (/ (pow l 2) (* (pow t 2) (* (pow x 3) (* (pow (sqrt 2) 2) (pow (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2))) 4)))))) (/ 1 (* t (* (pow x 2) (* (sqrt 2) (pow (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2))) 3))))))) (/ 1 (* x (pow (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2))) 2))))) (/ (* t (sqrt 2)) (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2)))))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (+ (* -1 (/ (* (pow t 3) (* (pow x 2) (* (pow (sqrt 2) 3) (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2)))))) (pow l 2))) (* (pow t 2) (* x (pow (sqrt 2) 2)))) (pow l 2))>
#<alt (/ (- (+ (* (pow t 2) (* x (pow (sqrt 2) 2))) (/ (* (pow t 4) (* (pow x 3) (* (pow (sqrt 2) 4) (pow (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2))) 2)))) (pow l 4))) (/ (* (pow t 3) (* (pow x 2) (* (pow (sqrt 2) 3) (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2)))))) (pow l 2))) (pow l 2))>
#<alt (/ (- (+ (* -1 (/ (* (pow t 5) (* (pow x 4) (* (pow (sqrt 2) 5) (pow (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2))) 3)))) (pow l 6))) (* (pow t 2) (* x (pow (sqrt 2) 2)))) (+ (* -1 (/ (* (pow t 4) (* (pow x 3) (* (pow (sqrt 2) 4) (pow (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2))) 2)))) (pow l 4))) (/ (* (pow t 3) (* (pow x 2) (* (pow (sqrt 2) 3) (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2)))))) (pow l 2)))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (+ (* -1 (/ (* (pow t 3) (* (pow x 2) (* (pow (sqrt 2) 3) (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2)))))) (pow l 2))) (* (pow t 2) (* x (pow (sqrt 2) 2)))) (pow l 2))>
#<alt (/ (- (+ (* (pow t 2) (* x (pow (sqrt 2) 2))) (/ (* (pow t 4) (* (pow x 3) (* (pow (sqrt 2) 4) (pow (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2))) 2)))) (pow l 4))) (/ (* (pow t 3) (* (pow x 2) (* (pow (sqrt 2) 3) (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2)))))) (pow l 2))) (pow l 2))>
#<alt (/ (- (+ (* -1 (/ (* (pow t 5) (* (pow x 4) (* (pow (sqrt 2) 5) (pow (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2))) 3)))) (pow l 6))) (* (pow t 2) (* x (pow (sqrt 2) 2)))) (+ (* -1 (/ (* (pow t 4) (* (pow x 3) (* (pow (sqrt 2) 4) (pow (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2))) 2)))) (pow l 4))) (/ (* (pow t 3) (* (pow x 2) (* (pow (sqrt 2) 3) (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2)))))) (pow l 2)))) (pow l 2))>
#<alt (/ (* t (* x (sqrt 2))) (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))))>
#<alt (* x (+ (* -1 (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))) 2))) (/ (* t (sqrt 2)) (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))))))>
#<alt (* x (+ (* x (- (/ (* (pow t 3) (* x (pow (sqrt 2) 3))) (pow (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))) 3)) (/ (* (pow t 2) (pow (sqrt 2) 2)) (pow (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))) 2)))) (/ (* t (sqrt 2)) (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))))))>
#<alt (* x (+ (* x (- (* x (- (* -1 (/ (* (pow t 4) (* x (pow (sqrt 2) 4))) (pow (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))) 4))) (* -1 (/ (* (pow t 3) (pow (sqrt 2) 3)) (pow (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))) 3))))) (/ (* (pow t 2) (pow (sqrt 2) 2)) (pow (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))) 2)))) (/ (* t (sqrt 2)) (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ (* 2 (/ 1 (pow (sqrt 2) 2))) (/ (pow l 2) (* (pow t 2) (pow (sqrt 2) 2)))) x)))>
#<alt (- (+ 1 (/ (* (+ (* 2 (/ 1 (pow (sqrt 2) 2))) (/ (pow l 2) (* (pow t 2) (pow (sqrt 2) 2)))) (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2))))) (* t (* (pow x 2) (sqrt 2))))) (+ (/ 2 (* x (pow (sqrt 2) 2))) (/ (pow l 2) (* (pow t 2) (* x (pow (sqrt 2) 2))))))>
#<alt (- (+ 1 (* -1 (/ (* (+ (* 2 (/ 1 (pow (sqrt 2) 2))) (/ (pow l 2) (* (pow t 2) (pow (sqrt 2) 2)))) (pow (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))) 2)) (* (pow t 2) (* (pow x 3) (pow (sqrt 2) 2)))))) (+ (* -1 (/ (* (+ (* 2 (/ 1 (pow (sqrt 2) 2))) (/ (pow l 2) (* (pow t 2) (pow (sqrt 2) 2)))) (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2))))) (* t (* (pow x 2) (sqrt 2))))) (+ (/ 2 (* x (pow (sqrt 2) 2))) (/ (pow l 2) (* (pow t 2) (* x (pow (sqrt 2) 2)))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) (* x (pow (sqrt 2) 2))))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ (* 2 (pow t 2)) (pow l 2)) 2) (* (pow t 4) (* x (pow (sqrt 2) 4))))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) (pow (sqrt 2) 2))))) x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ (* 2 (pow t 2)) (pow l 2)) 3) (* (pow t 6) (* x (pow (sqrt 2) 6))))) (* -1 (/ (pow (+ (* 2 (pow t 2)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 4))))) x)) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) (pow (sqrt 2) 2))))) x)))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))>
#<alt (+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt (+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt (* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))>
#<alt (/ (+ (* 2 (/ (pow l 2) (* x (sqrt 2)))) (* 4 (/ (pow t 2) (* x (sqrt 2))))) t)>
#<alt (/ (+ (* 2 (/ (pow l 2) (* x (sqrt 2)))) (* 4 (/ (pow t 2) (* x (sqrt 2))))) t)>
#<alt (/ (+ (* 2 (/ (pow l 2) (* x (sqrt 2)))) (* 4 (/ (pow t 2) (* x (sqrt 2))))) t)>
#<alt (* 4 (/ t (* x (sqrt 2))))>
#<alt (* t (+ (* 2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2))))))>
#<alt (* t (+ (* 2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2))))))>
#<alt (* t (+ (* 2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2))))))>
#<alt (* 4 (/ t (* x (sqrt 2))))>
#<alt (* -1 (* t (- (* -2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2)))))))>
#<alt (* -1 (* t (- (* -2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2)))))))>
#<alt (* -1 (* t (- (* -2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2)))))))>
#<alt (* 4 (/ t (* x (sqrt 2))))>
#<alt (+ (* 2 (/ (pow l 2) (* t (* x (sqrt 2))))) (* 4 (/ t (* x (sqrt 2)))))>
#<alt (+ (* 2 (/ (pow l 2) (* t (* x (sqrt 2))))) (* 4 (/ t (* x (sqrt 2)))))>
#<alt (+ (* 2 (/ (pow l 2) (* t (* x (sqrt 2))))) (* 4 (/ t (* x (sqrt 2)))))>
#<alt (* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))>
#<alt (* (pow l 2) (+ (* 4 (/ t (* (pow l 2) (* x (sqrt 2))))) (* 2 (/ 1 (* t (* x (sqrt 2)))))))>
#<alt (* (pow l 2) (+ (* 4 (/ t (* (pow l 2) (* x (sqrt 2))))) (* 2 (/ 1 (* t (* x (sqrt 2)))))))>
#<alt (* (pow l 2) (+ (* 4 (/ t (* (pow l 2) (* x (sqrt 2))))) (* 2 (/ 1 (* t (* x (sqrt 2)))))))>
#<alt (* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))>
#<alt (* (pow l 2) (+ (* 4 (/ t (* (pow l 2) (* x (sqrt 2))))) (* 2 (/ 1 (* t (* x (sqrt 2)))))))>
#<alt (* (pow l 2) (+ (* 4 (/ t (* (pow l 2) (* x (sqrt 2))))) (* 2 (/ 1 (* t (* x (sqrt 2)))))))>
#<alt (* (pow l 2) (+ (* 4 (/ t (* (pow l 2) (* x (sqrt 2))))) (* 2 (/ 1 (* t (* x (sqrt 2)))))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>

Calls

81 calls:

Time	Variable		Point	Expression
15.0ms	t	@	inf	(+ (* 1/2 (/ (* 2 (+ (* 2 (* t t)) (* l l))) (* (* t (sqrt 2)) x))) (* t (sqrt 2)))
7.0ms	x	@	-inf	(sqrt (+ 1 x))
4.0ms	x	@	inf	(/ (* 2 (+ (* 2 (* t t)) (* l l))) (* (* t (sqrt 2)) x))
3.0ms	l	@	inf	(/ (* (* (* t (sqrt 1/2)) (sqrt 2)) (sqrt x)) l)
1.0ms	t	@	0	(/ (* (* (* t (sqrt 1/2)) (sqrt 2)) (sqrt x)) l)

rewrite326.0ms (2.2%)

Memory

35.4MiB live, 433.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 210×	`accelerator-lowering-fma.f32`
5 210×	`accelerator-lowering-fma.f64`
4 536×	`-lowering-.f32`
4 536×	`-lowering-.f64`
4 122×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	162
1	182	145
2	1373	135
0	8588	130

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 831

Calls

Call 1

Inputs
(sqrt (/ (+ x -1) (+ x 1)))
(/ (+ x -1) (+ x 1))
(+ x -1)
(+ x 1)
(* (/ 1 (sqrt (+ 1 x))) (sqrt (+ x -1)))
(/ 1 (sqrt (+ 1 x)))
(sqrt (+ 1 x))
(+ 1 x)
(/ (* (* (* t (sqrt 1/2)) (sqrt 2)) (sqrt x)) l)
(* (* (* t (sqrt 1/2)) (sqrt 2)) (sqrt x))
(* (* t (sqrt 1/2)) (sqrt 2))
(* t (sqrt 1/2))
(+ (* 1/2 (/ (* 2 (+ (* 2 (* t t)) (* l l))) (* (* t (sqrt 2)) x))) (* t (sqrt 2)))
(/ (* (sqrt 2) t) (+ (* 1/2 (/ (* 2 (+ (* 2 (* t t)) (* l l))) (* (* t (sqrt 2)) x))) (* t (sqrt 2))))
(* (sqrt 2) t)
(sqrt 2)
(sqrt (+ x -1))
(/ (* 2 (+ (* 2 (* t t)) (* l l))) (* (* t (sqrt 2)) x))
(* t (sqrt 2))

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal -1 binary64) (.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))))
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(.f64 (/.f64 (fma.f64 t (.f64 t #s(literal 2 binary64)) (.f64 l l)) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) t))
(.f64 (/.f64 (fma.f64 t (.f64 t #s(literal 2 binary64)) (.f64 l l)) t) (/.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (fma.f64 t (.f64 t #s(literal 2 binary64)) (.f64 l l)) t))
(.f64 (/.f64 (fma.f64 t (.f64 t #s(literal 2 binary64)) (.f64 l l)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (.f64 t x)))
(.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 t (.f64 t #s(literal 2 binary64)) (.f64 l l)) (.f64 t x)))
(.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 t (.f64 t #s(literal 2 binary64)) (*.f64 l l)) x) t))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 t (.f64 t #s(literal 2 binary64)) (.f64 l l)) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 l l) (.f64 (*.f64 t t) #s(literal 4 binary64))) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) (.f64 l l) (.f64 (*.f64 t t) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 t (.f64 t #s(literal 2 binary64)) (*.f64 l l))) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 l l) (.f64 (.f64 t t) #s(literal 4 binary64))) t) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 l l) (.f64 (.f64 t t) #s(literal 4 binary64))) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 l l) (.f64 (*.f64 t t) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 l l) (.f64 (.f64 t t) #s(literal 4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 t x)))
(.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 t (.f64 t #s(literal 2 binary64)) (*.f64 l l))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 t (.f64 t #s(literal 2 binary64)) (.f64 l l))) #s(literal -1 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 t #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 t (.f64 t #s(literal 2 binary64)) (*.f64 l l))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 t (fma.f64 t (.f64 t #s(literal 2 binary64)) (.f64 l l))) #s(literal -1 binary64)) (pow.f64 (.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 t (.f64 t #s(literal 2 binary64)) (.f64 l l)) (neg.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal -2 binary64) x))
(.f64 (/.f64 (fma.f64 t (.f64 t #s(literal 2 binary64)) (.f64 l l)) (neg.f64 x)) (/.f64 #s(literal -2 binary64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (fma.f64 l (neg.f64 l) (.f64 (.f64 t t) #s(literal -2 binary64))) x))
(.f64 (/.f64 #s(literal 2 binary64) (neg.f64 t)) (/.f64 (fma.f64 l (neg.f64 l) (.f64 (.f64 t t) #s(literal -2 binary64))) (.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 2 binary64) (neg.f64 x)) (/.f64 (fma.f64 l (neg.f64 l) (.f64 (.f64 t t) #s(literal -2 binary64))) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (fma.f64 t (.f64 t #s(literal 2 binary64)) (.f64 l l)) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (.f64 x (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (/.f64 (fma.f64 t (.f64 t #s(literal 2 binary64)) (.f64 l l)) (neg.f64 t)) (/.f64 #s(literal -2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 l l) (.f64 (.f64 t t) #s(literal 4 binary64))) (*.f64 x t)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 (.f64 l l) #s(literal -2 binary64) (.f64 (.f64 t t) #s(literal -4 binary64))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 l l) (.f64 (.f64 t t) #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 l l) (.f64 (*.f64 t t) #s(literal 4 binary64))) (neg.f64 x)))
(.f64 (/.f64 (fma.f64 l (neg.f64 l) (.f64 (.f64 t t) #s(literal -2 binary64))) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (neg.f64 x)))
(.f64 (/.f64 (fma.f64 l (neg.f64 l) (.f64 (.f64 t t) #s(literal -2 binary64))) x) (/.f64 #s(literal 2 binary64) (neg.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (/.f64 (fma.f64 l (neg.f64 l) (.f64 (.f64 t t) #s(literal -2 binary64))) t) (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 x t)) (/.f64 (fma.f64 t (.f64 t #s(literal 2 binary64)) (.f64 l l)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal -2 binary64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (fma.f64 t (.f64 t #s(literal 2 binary64)) (.f64 l l)) (neg.f64 x)))
(.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (fma.f64 t (.f64 t #s(literal 2 binary64)) (.f64 l l)) (neg.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal -2 binary64) t) (/.f64 (fma.f64 t (.f64 t #s(literal 2 binary64)) (.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))))
(.f64 (/.f64 (fma.f64 t (.f64 t #s(literal 2 binary64)) (.f64 l l)) (.f64 x t)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 l (neg.f64 l) (.f64 (.f64 t t) #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 x (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 t (.f64 t #s(literal 2 binary64)) (.f64 l l)) x))
(.f64 (/.f64 (fma.f64 t (.f64 t #s(literal 2 binary64)) (.f64 l l)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) x))
(.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) x) (/.f64 (fma.f64 t (.f64 t #s(literal 2 binary64)) (.f64 l l)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 l l) (.f64 (.f64 t t) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) x) (/.f64 (/.f64 (fma.f64 t (.f64 t #s(literal 2 binary64)) (*.f64 l l)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 (fma.f64 t (.f64 t #s(literal 2 binary64)) (*.f64 l l)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) t) x))
(.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 t (.f64 t #s(literal 2 binary64)) (*.f64 l l)) (sqrt.f64 #s(literal 2 binary64))) x))
(.f64 (/.f64 (/.f64 (fma.f64 t (.f64 t #s(literal 2 binary64)) (*.f64 l l)) (sqrt.f64 #s(literal 2 binary64))) x) (/.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 (fma.f64 t (.f64 t #s(literal 2 binary64)) (*.f64 l l)) t) x) (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 t (.f64 t #s(literal 2 binary64)) (*.f64 l l)) t) x))
(.f64 (/.f64 (/.f64 (fma.f64 t (.f64 t #s(literal 2 binary64)) (*.f64 l l)) t) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) (/.f64 (/.f64 (fma.f64 t (.f64 t #s(literal 2 binary64)) (*.f64 l l)) t) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 t (.f64 t #s(literal 2 binary64)) (.f64 l l)))) #s(literal -1/2 binary64)) (pow.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 t (.f64 t #s(literal 2 binary64)) (*.f64 l l)))) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (neg.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(literal 1 binary64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(*.f64 t (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 t)))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 t) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 t))
(*.f64 (neg.f64 (neg.f64 t)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) t)

simplify339.0ms (2.3%)

Memory

6.7MiB live, 557.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 534×	`accelerator-lowering-fma.f32`
7 534×	`accelerator-lowering-fma.f64`
5 942×	`-lowering-.f32`
5 942×	`-lowering-.f64`
3 296×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	565	5733
1	1732	5200
2	6728	5147
0	8221	4965

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

Outputs
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ x (sqrt -1)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))
(+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
(+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1)))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))))
(pow (sqrt -1) 2)
#s(literal -1 binary64)
(+ (/ 1 x) (pow (sqrt -1) 2))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) x)) 1) x)) (pow (sqrt -1) 2))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) x))) x)) 1) x)) (pow (sqrt -1) 2))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) x) #s(literal -1/2 binary64)) x)) x))
-1
#s(literal -1 binary64)
(- (* 2 x) 1)
(fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))
(- (* x (+ 2 (* -2 x))) 1)
(fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal -1 binary64))
(- (* x (+ 2 (* x (- (* 2 x) 2)))) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal -2 binary64) x)))
(- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x))))))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))
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(* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))

eval155.0ms (1.1%)

Memory: 17.8MiB live, 319.7MiB allocated
Compiler: Compiled 31 511 to 3 214 computations (89.8% saved)

prune214.0ms (1.5%)

Memory

-13.5MiB live, 317.5MiB allocated

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	1 283	13	1 296
Fresh	8	4	12
Picked	3	2	5
Done	0	1	1
Total	1 294	20	1 314

Accuracy

99.5%

Counts

1 314 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.2%	(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
	26.6%	(/.f64 (*.f64 (sqrt.f64 x) t) l)
	74.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
	52.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 l (/.f64 l (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64)))))) x))
	26.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
▶	56.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x))))
	25.1%	(/.f64 (.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1 binary64))) (sqrt.f64 x)) l)
	39.1%	(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal -1 binary64) x)))
	26.6%	(/.f64 t (/.f64 l (sqrt.f64 x)))
	26.4%	(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 t (sqrt.f64 x))))
▶	74.8%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
	26.6%	(*.f64 (/.f64 (sqrt.f64 x) l) t)
▶	26.6%	(.f64 (/.f64 #s(literal 1 binary64) l) (.f64 t (sqrt.f64 x)))
▶	26.5%	(.f64 (.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) l))
	23.8%	(*.f64 (sqrt.f64 x) (/.f64 t l))
✓	73.2%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
✓	74.9%	(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
▶	74.7%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
	24.7%	(exp.f64 (.f64 (log.f64 (/.f64 l (.f64 t (sqrt.f64 x)))) #s(literal -1 binary64)))
✓	74.3%	#s(literal 1 binary64)

Compiler

Compiled 535 to 363 computations (32.1% saved)

simplify25.0ms (0.2%)

Memory

-8.1MiB live, 29.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x))))
✓	cost-diff	128	(+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x))
✓	cost-diff	320	(+.f64 (/.f64 (.f64 t t) x) (.f64 t t))
✓	cost-diff	0	(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) l)
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 t (sqrt.f64 #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 (.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) l))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 t (sqrt.f64 x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) l)
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) l) (.f64 t (sqrt.f64 x)))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
✓	cost-diff	0	(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))

Rules

432×	`accelerator-lowering-fma.f32`
432×	`accelerator-lowering-fma.f64`
424×	`-lowering-.f32`
424×	`-lowering-.f64`
226×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	250
1	77	238
2	142	238
3	229	238
4	347	238
5	421	238
6	517	238
7	523	238
0	523	226

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ 1 (/ -1 x))
1
(/ -1 x)
-1
x
(sqrt (+ 1 (/ -2 x)))
(+ 1 (/ -2 x))
1
(/ -2 x)
-2
x
(* (/ 1 l) (* t (sqrt x)))
(/ 1 l)
1
l
(* t (sqrt x))
t
(sqrt x)
x
(* (* t (sqrt 1/2)) (/ (sqrt (* 2 x)) l))
(* t (sqrt 1/2))
t
(sqrt 1/2)
1/2
(/ (sqrt (* 2 x)) l)
(sqrt (* 2 x))
(* 2 x)
2
x
l
(/ (* (sqrt 2) t) (sqrt (+ (+ (* 2 (+ (/ (* t t) x) (* t t))) (/ (* l l) x)) (/ (+ (* 2 (* t t)) (* l l)) x))))
(* (sqrt 2) t)
(sqrt 2)
2
t
(sqrt (+ (+ (* 2 (+ (/ (* t t) x) (* t t))) (/ (* l l) x)) (/ (+ (* 2 (* t t)) (* l l)) x)))
(+ (+ (* 2 (+ (/ (* t t) x) (* t t))) (/ (* l l) x)) (/ (+ (* 2 (* t t)) (* l l)) x))
(+ (* 2 (+ (/ (* t t) x) (* t t))) (/ (* l l) x))
(+ (/ (* t t) x) (* t t))
(/ (* t t) x)
(* t t)
x
(/ (* l l) x)
(* l l)
l
(/ (+ (* 2 (* t t)) (* l l)) x)
(+ (* 2 (* t t)) (* l l))

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

localize158.0ms (1.1%)

Memory

-2.2MiB live, 194.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	95.1%	(/.f64 (*.f64 l l) x)
✓	accuracy	93.3%	(/.f64 (*.f64 t t) x)
✓	accuracy	90.4%	(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)
✓	accuracy	77.4%	(sqrt.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x)))
✓	accuracy	99.7%	(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) l)
✓	accuracy	99.6%	(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
✓	accuracy	99.5%	(*.f64 t (sqrt.f64 #s(literal 1/2 binary64)))
✓	accuracy	95.8%	(.f64 (.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) l))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) l)
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(*.f64 t (sqrt.f64 x))
✓	accuracy	97.9%	(.f64 (/.f64 #s(literal 1 binary64) l) (.f64 t (sqrt.f64 x)))
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))

Samples

52.0ms	155×	0	valid
25.0ms	101×	0	invalid

Compiler

Compiled 243 to 40 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-sqrt: 23.0ms (40.4% of total)

ival-div: 14.0ms (24.6% of total)

ival-mult: 13.0ms (22.8% of total)

ival-add: 7.0ms (12.3% of total)

exact: 1.0ms (1.8% of total)

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

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

series62.0ms (0.4%)

Memory

-0.2MiB live, 78.0MiB allocated

Counts

22 → 456

Calls

Call 1

Inputs
#<alt (+ 1 (/ -1 x))>
#<alt (/ -1 x)>
#<alt (sqrt (+ 1 (/ -2 x)))>
#<alt (+ 1 (/ -2 x))>
#<alt (/ -2 x)>
#<alt (* (/ 1 l) (* t (sqrt x)))>
#<alt (/ 1 l)>
#<alt (* t (sqrt x))>
#<alt (sqrt x)>
#<alt (* (* t (sqrt 1/2)) (/ (sqrt (* 2 x)) l))>
#<alt (* t (sqrt 1/2))>
#<alt (sqrt 1/2)>
#<alt (/ (sqrt (* 2 x)) l)>
#<alt (+ (/ (* t t) x) (* t t))>
#<alt (+ (+ (* 2 (+ (/ (* t t) x) (* t t))) (/ (* l l) x)) (/ (+ (* 2 (* t t)) (* l l)) x))>
#<alt (/ (* (sqrt 2) t) (sqrt (+ (+ (* 2 (+ (/ (* t t) x) (* t t))) (/ (* l l) x)) (/ (+ (* 2 (* t t)) (* l l)) x))))>
#<alt (* (sqrt 2) t)>
#<alt (sqrt (* 2 x))>
#<alt (sqrt (+ (+ (* 2 (+ (/ (* t t) x) (* t t))) (/ (* l l) x)) (/ (+ (* 2 (* t t)) (* l l)) x)))>
#<alt (/ (+ (* 2 (* t t)) (* l l)) x)>
#<alt (/ (* t t) x)>
#<alt (/ (* l l) x)>

Outputs
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- x 1) x)>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- 1 (/ 1 x))>
#<alt (- 1 (/ 1 x))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- 1 (/ 1 x))>
#<alt (- 1 (/ 1 x))>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (* (sqrt (/ 1 x)) (sqrt -2))>
#<alt (/ (+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -2)))) (* (sqrt x) (sqrt -2))) x)>
#<alt (/ (+ (* (sqrt x) (sqrt -2)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -2) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -2))))))) x)>
#<alt (/ (+ (* (sqrt x) (sqrt -2)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -2)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -2) 3)))) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -2) 5))))))))) x)>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (- (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) (pow x 2)))) (/ 1 x))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ 1 (* -1 (/ (+ 1 (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
#<alt (/ -2 x)>
#<alt (/ (- x 2) x)>
#<alt (/ (- x 2) x)>
#<alt (/ (- x 2) x)>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 x)))>
#<alt (- 1 (* 2 (/ 1 x)))>
#<alt (- 1 (* 2 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 x)))>
#<alt (- 1 (* 2 (/ 1 x)))>
#<alt (- 1 (* 2 (/ 1 x)))>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* -1 (* (/ (* t (pow (sqrt -1) 2)) l) (sqrt x)))>
#<alt (* -1 (* (/ (* t (pow (sqrt -1) 2)) l) (sqrt x)))>
#<alt (* -1 (* (/ (* t (pow (sqrt -1) 2)) l) (sqrt x)))>
#<alt (* -1 (* (/ (* t (pow (sqrt -1) 2)) l) (sqrt x)))>
#<alt (/ 1 l)>
#<alt (/ 1 l)>
#<alt (/ 1 l)>
#<alt (/ 1 l)>
#<alt (/ 1 l)>
#<alt (/ 1 l)>
#<alt (/ 1 l)>
#<alt (/ 1 l)>
#<alt (/ 1 l)>
#<alt (/ 1 l)>
#<alt (/ 1 l)>
#<alt (/ 1 l)>
#<alt (* t (sqrt x))>
#<alt (* t (sqrt x))>
#<alt (* t (sqrt x))>
#<alt (* t (sqrt x))>
#<alt (* t (sqrt x))>
#<alt (* t (sqrt x))>
#<alt (* t (sqrt x))>
#<alt (* t (sqrt x))>
#<alt (* t (sqrt x))>
#<alt (* t (sqrt x))>
#<alt (* t (sqrt x))>
#<alt (* t (sqrt x))>
#<alt (* t (sqrt x))>
#<alt (* t (sqrt x))>
#<alt (* t (sqrt x))>
#<alt (* t (sqrt x))>
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#<alt (+ (* (* t (sqrt 2)) (sqrt (/ 1 (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x)))))) (* (pow l 2) (+ (* -1 (* (/ (* t (sqrt 2)) x) (sqrt (/ 1 (pow (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))) 3))))) (* (pow l 2) (+ (* -5/2 (* (/ (* (pow l 2) (* t (sqrt 2))) (pow x 3)) (sqrt (/ 1 (pow (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))) 7))))) (* 3/2 (* (/ (* t (sqrt 2)) (pow x 2)) (sqrt (/ 1 (pow (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))) 5))))))))))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (/ (+ (* -1/8 (* (/ (* t (* (sqrt 2) (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))))) (* (pow l 2) (sqrt 1/2))) (sqrt (pow x 3)))) (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))) l)>
#<alt (/ (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -1/8 (* (pow x 3) (pow (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))) 2))) (* 1/64 (/ (* (pow x 3) (pow (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))) 2)) (pow (sqrt 1/2) 2)))))) (* (pow l 4) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/8 (* (/ (* t (* (sqrt 2) (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))))) (* (pow l 2) (sqrt 1/2))) (sqrt (pow x 3)))) (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x)))) l)>
#<alt (/ (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -1/8 (* (pow x 3) (pow (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))) 2))) (* 1/64 (/ (* (pow x 3) (pow (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))) 2)) (pow (sqrt 1/2) 2)))))) (* (pow l 4) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* 1/16 (* (pow x 4) (pow (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))) 3))) (* 1/8 (/ (* x (* (+ (* -1/8 (* (pow x 3) (pow (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))) 2))) (* 1/64 (/ (* (pow x 3) (pow (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))) 2)) (pow (sqrt 1/2) 2)))) (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))))) (pow (sqrt 1/2) 2)))))) (* (pow l 6) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/8 (* (/ (* t (* (sqrt 2) (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))))) (* (pow l 2) (sqrt 1/2))) (sqrt (pow x 3)))) (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))))) l)>
#<alt (* -1 (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x)))>
#<alt (* -1 (/ (+ (* -1/8 (* (/ (* t (* (sqrt 2) (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))))) (* (pow l 2) (sqrt 1/2))) (sqrt (pow x 3)))) (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))) l))>
#<alt (* -1 (/ (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -1/8 (* (pow x 3) (pow (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))) 2))) (* 1/64 (/ (* (pow x 3) (pow (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))) 2)) (pow (sqrt 1/2) 2)))))) (* (pow l 4) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/8 (* (/ (* t (* (sqrt 2) (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))))) (* (pow l 2) (sqrt 1/2))) (sqrt (pow x 3)))) (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x)))) l))>
#<alt (* -1 (/ (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -1/8 (* (pow x 3) (pow (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))) 2))) (* 1/64 (/ (* (pow x 3) (pow (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))) 2)) (pow (sqrt 1/2) 2)))))) (* (pow l 4) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* 1/16 (* (pow x 4) (pow (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))) 3))) (* 1/8 (/ (* x (* (+ (* -1/8 (* (pow x 3) (pow (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))) 2))) (* 1/64 (/ (* (pow x 3) (pow (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))) 2)) (pow (sqrt 1/2) 2)))) (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))))) (pow (sqrt 1/2) 2)))))) (* (pow l 6) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/8 (* (/ (* t (* (sqrt 2) (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))))) (* (pow l 2) (sqrt 1/2))) (sqrt (pow x 3)))) (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))))) l))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* (* l (sqrt 2)) (sqrt (/ 1 x)))>
#<alt (+ (* 1/2 (* (/ (* (pow t 2) (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x)))) (* l (sqrt 2))) (sqrt x))) (* (* l (sqrt 2)) (sqrt (/ 1 x))))>
#<alt (+ (* (* l (sqrt 2)) (sqrt (/ 1 x))) (* (pow t 2) (+ (* -1/8 (* (/ (* (pow t 2) (pow (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x))) 2)) (* (pow l 3) (pow (sqrt 2) 3))) (sqrt (pow x 3)))) (* 1/2 (* (/ (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x))) (* l (sqrt 2))) (sqrt x))))))>
#<alt (+ (* (* l (sqrt 2)) (sqrt (/ 1 x))) (* (pow t 2) (+ (* 1/2 (* (/ (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x))) (* l (sqrt 2))) (sqrt x))) (* (pow t 2) (+ (* -1/8 (* (/ (pow (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x))) 2) (* (pow l 3) (pow (sqrt 2) 3))) (sqrt (pow x 3)))) (* 1/16 (* (/ (* (pow t 2) (pow (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x))) 3)) (* (pow l 5) (pow (sqrt 2) 5))) (sqrt (pow x 5)))))))))>
#<alt (* t (sqrt (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x)))))>
#<alt (* t (+ (sqrt (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x)))) (* (/ (pow l 2) (* (pow t 2) x)) (sqrt (/ 1 (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x))))))))>
#<alt (* t (+ (sqrt (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x)))) (+ (* -1/2 (* (/ (pow l 4) (* (pow t 4) (pow x 2))) (sqrt (/ 1 (pow (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x))) 3))))) (* (/ (pow l 2) (* (pow t 2) x)) (sqrt (/ 1 (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x)))))))))>
#<alt (* t (+ (sqrt (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x)))) (+ (* -1/2 (* (/ (pow l 4) (* (pow t 4) (pow x 2))) (sqrt (/ 1 (pow (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x))) 3))))) (+ (* 1/2 (* (/ (pow l 6) (* (pow t 6) (pow x 3))) (sqrt (/ 1 (pow (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x))) 5))))) (* (/ (pow l 2) (* (pow t 2) x)) (sqrt (/ 1 (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x))))))))))>
#<alt (* -1 (* t (sqrt (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x))))))>
#<alt (* -1 (* t (+ (sqrt (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x)))) (* (/ (pow l 2) (* (pow t 2) x)) (sqrt (/ 1 (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x)))))))))>
#<alt (* -1 (* t (+ (sqrt (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x)))) (+ (* -1/2 (* (/ (pow l 4) (* (pow t 4) (pow x 2))) (sqrt (/ 1 (pow (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x))) 3))))) (* (/ (pow l 2) (* (pow t 2) x)) (sqrt (/ 1 (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x))))))))))>
#<alt (* -1 (* t (+ (sqrt (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x)))) (+ (* -1/2 (* (/ (pow l 4) (* (pow t 4) (pow x 2))) (sqrt (/ 1 (pow (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x))) 3))))) (+ (* 1/2 (* (/ (pow l 6) (* (pow t 6) (pow x 3))) (sqrt (/ 1 (pow (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x))) 5))))) (* (/ (pow l 2) (* (pow t 2) x)) (sqrt (/ 1 (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x)))))))))))>
#<alt (sqrt (/ (+ (* 2 (pow l 2)) (* 4 (pow t 2))) x))>
#<alt (/ (+ (sqrt (* x (+ (* 2 (pow l 2)) (* 4 (pow t 2))))) (* (pow t 2) (sqrt (/ (pow x 3) (+ (* 2 (pow l 2)) (* 4 (pow t 2))))))) x)>
#<alt (/ (+ (sqrt (* x (+ (* 2 (pow l 2)) (* 4 (pow t 2))))) (* (pow x 2) (+ (* -1/2 (* (pow t 4) (sqrt (/ x (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 3))))) (* (pow t 2) (sqrt (/ 1 (* x (+ (* 2 (pow l 2)) (* 4 (pow t 2)))))))))) x)>
#<alt (/ (+ (sqrt (* x (+ (* 2 (pow l 2)) (* 4 (pow t 2))))) (* (pow x 2) (+ (* (pow t 2) (sqrt (/ 1 (* x (+ (* 2 (pow l 2)) (* 4 (pow t 2))))))) (* (pow x 2) (+ (* -1/2 (* (pow t 4) (sqrt (/ 1 (* (pow x 3) (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 3)))))) (* 1/2 (* (pow t 6) (sqrt (/ 1 (* x (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 5))))))))))) x)>
#<alt (* t (sqrt 2))>
#<alt (+ (* 1/2 (/ (+ (* 2 (pow l 2)) (* 4 (pow t 2))) (* t (* x (sqrt 2))))) (* t (sqrt 2)))>
#<alt (+ (* -1/8 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 2) (* (pow t 3) (* (pow x 2) (pow (sqrt 2) 3))))) (+ (* 1/2 (/ (+ (* 2 (pow l 2)) (* 4 (pow t 2))) (* t (* x (sqrt 2))))) (* t (sqrt 2))))>
#<alt (+ (* -1/8 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 2) (* (pow t 3) (* (pow x 2) (pow (sqrt 2) 3))))) (+ (* 1/16 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 3) (* (pow t 5) (* (pow x 3) (pow (sqrt 2) 5))))) (+ (* 1/2 (/ (+ (* 2 (pow l 2)) (* 4 (pow t 2))) (* t (* x (sqrt 2))))) (* t (sqrt 2)))))>
#<alt (* t (sqrt 2))>
#<alt (+ (* -1/2 (/ (+ (* -2 (pow t 2)) (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2)))>
#<alt (+ (* -1 (/ (+ (* 1/8 (/ (pow (+ (* -2 (pow t 2)) (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2)))) 2) (* (pow t 3) (* x (pow (sqrt 2) 3))))) (* 1/2 (/ (+ (* -2 (pow t 2)) (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2)))) (* t (sqrt 2))))) x)) (* t (sqrt 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (pow (+ (* -2 (pow t 2)) (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2)))) 2) (* (pow t 3) (pow (sqrt 2) 3)))) (* -1/16 (/ (pow (+ (* -2 (pow t 2)) (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2)))) 3) (* (pow t 5) (* x (pow (sqrt 2) 5)))))) x)) (* 1/2 (/ (+ (* -2 (pow t 2)) (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2)))) (* t (sqrt 2))))) x)) (* t (sqrt 2)))>
#<alt (sqrt (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))))>
#<alt (+ (sqrt (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x)))) (* (/ (pow l 2) x) (sqrt (/ 1 (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x)))))))>
#<alt (+ (sqrt (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x)))) (* (pow l 2) (+ (* -1/2 (* (/ (pow l 2) (pow x 2)) (sqrt (/ 1 (pow (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))) 3))))) (* (/ 1 x) (sqrt (/ 1 (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x)))))))))>
#<alt (+ (sqrt (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x)))) (* (pow l 2) (+ (* (/ 1 x) (sqrt (/ 1 (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x)))))) (* (pow l 2) (+ (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (pow (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))) 3))))) (* 1/2 (* (/ (pow l 2) (pow x 3)) (sqrt (/ 1 (pow (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))) 5))))))))))>
#<alt (* (* l (sqrt 2)) (sqrt (/ 1 x)))>
#<alt (* l (+ (* 1/2 (* (/ (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))) (* (pow l 2) (sqrt 2))) (sqrt x))) (* (sqrt (/ 1 x)) (sqrt 2))))>
#<alt (* l (+ (* -1/8 (* (/ (pow (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))) 2) (* (pow l 4) (pow (sqrt 2) 3))) (sqrt (pow x 3)))) (+ (* 1/2 (* (/ (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))) (* (pow l 2) (sqrt 2))) (sqrt x))) (* (sqrt (/ 1 x)) (sqrt 2)))))>
#<alt (* l (+ (* -1/8 (* (/ (pow (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))) 2) (* (pow l 4) (pow (sqrt 2) 3))) (sqrt (pow x 3)))) (+ (* 1/16 (* (/ (pow (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))) 3) (* (pow l 6) (pow (sqrt 2) 5))) (sqrt (pow x 5)))) (+ (* 1/2 (* (/ (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))) (* (pow l 2) (sqrt 2))) (sqrt x))) (* (sqrt (/ 1 x)) (sqrt 2))))))>
#<alt (* -1 (* (* l (sqrt 2)) (sqrt (/ 1 x))))>
#<alt (* -1 (* l (+ (* 1/2 (* (/ (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))) (* (pow l 2) (sqrt 2))) (sqrt x))) (* (sqrt (/ 1 x)) (sqrt 2)))))>
#<alt (* -1 (* l (+ (* -1/8 (* (/ (pow (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))) 2) (* (pow l 4) (pow (sqrt 2) 3))) (sqrt (pow x 3)))) (+ (* 1/2 (* (/ (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))) (* (pow l 2) (sqrt 2))) (sqrt x))) (* (sqrt (/ 1 x)) (sqrt 2))))))>
#<alt (* -1 (* l (+ (* -1/8 (* (/ (pow (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))) 2) (* (pow l 4) (pow (sqrt 2) 3))) (sqrt (pow x 3)))) (+ (* 1/16 (* (/ (pow (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))) 3) (* (pow l 6) (pow (sqrt 2) 5))) (sqrt (pow x 5)))) (+ (* 1/2 (* (/ (+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))) (* (pow l 2) (sqrt 2))) (sqrt x))) (* (sqrt (/ 1 x)) (sqrt 2)))))))>
#<alt (/ (pow l 2) x)>
#<alt (+ (* 2 (/ (pow t 2) x)) (/ (pow l 2) x))>
#<alt (+ (* 2 (/ (pow t 2) x)) (/ (pow l 2) x))>
#<alt (+ (* 2 (/ (pow t 2) x)) (/ (pow l 2) x))>
#<alt (* 2 (/ (pow t 2) x))>
#<alt (* (pow t 2) (+ (* 2 (/ 1 x)) (/ (pow l 2) (* (pow t 2) x))))>
#<alt (* (pow t 2) (+ (* 2 (/ 1 x)) (/ (pow l 2) (* (pow t 2) x))))>
#<alt (* (pow t 2) (+ (* 2 (/ 1 x)) (/ (pow l 2) (* (pow t 2) x))))>
#<alt (* 2 (/ (pow t 2) x))>
#<alt (* (pow t 2) (+ (* 2 (/ 1 x)) (/ (pow l 2) (* (pow t 2) x))))>
#<alt (* (pow t 2) (+ (* 2 (/ 1 x)) (/ (pow l 2) (* (pow t 2) x))))>
#<alt (* (pow t 2) (+ (* 2 (/ 1 x)) (/ (pow l 2) (* (pow t 2) x))))>
#<alt (* 2 (/ (pow t 2) x))>
#<alt (+ (* 2 (/ (pow t 2) x)) (/ (pow l 2) x))>
#<alt (+ (* 2 (/ (pow t 2) x)) (/ (pow l 2) x))>
#<alt (+ (* 2 (/ (pow t 2) x)) (/ (pow l 2) x))>
#<alt (/ (pow l 2) x)>
#<alt (* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) x))) (/ 1 x)))>
#<alt (* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) x))) (/ 1 x)))>
#<alt (* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) x))) (/ 1 x)))>
#<alt (/ (pow l 2) x)>
#<alt (* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) x))) (/ 1 x)))>
#<alt (* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) x))) (/ 1 x)))>
#<alt (* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) x))) (/ 1 x)))>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) x)>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) x)>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) x)>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) x)>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) x)>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) x)>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) x)>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) x)>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) x)>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) x)>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) x)>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>

Calls

114 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(+ (+ (* 2 (+ (/ (* t t) x) (* t t))) (/ (* l l) x)) (/ (+ (* 2 (* t t)) (* l l)) x))
3.0ms	t	@	0	(/ (+ (* 2 (* t t)) (* l l)) x)
3.0ms	t	@	0	(/ (* (sqrt 2) t) (sqrt (+ (+ (* 2 (+ (/ (* t t) x) (* t t))) (/ (* l l) x)) (/ (+ (* 2 (* t t)) (* l l)) x))))
3.0ms	l	@	inf	(/ (* (sqrt 2) t) (sqrt (+ (+ (* 2 (+ (/ (* t t) x) (* t t))) (/ (* l l) x)) (/ (+ (* 2 (* t t)) (* l l)) x))))
2.0ms	t	@	inf	(/ (* (sqrt 2) t) (sqrt (+ (+ (* 2 (+ (/ (* t t) x) (* t t))) (/ (* l l) x)) (/ (+ (* 2 (* t t)) (* l l)) x))))

rewrite377.0ms (2.6%)

Memory

20.5MiB live, 571.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 110×	`accelerator-lowering-fma.f32`
6 110×	`accelerator-lowering-fma.f64`
5 170×	`/-lowering-/.f32`
5 170×	`/-lowering-/.f64`
4 016×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	194
1	203	184
2	1789	182
0	8456	172

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 665

Calls

Call 1

Inputs
(+ 1 (/ -1 x))
(/ -1 x)
(sqrt (+ 1 (/ -2 x)))
(+ 1 (/ -2 x))
(/ -2 x)
(* (/ 1 l) (* t (sqrt x)))
(/ 1 l)
(* t (sqrt x))
(sqrt x)
(* (* t (sqrt 1/2)) (/ (sqrt (* 2 x)) l))
(* t (sqrt 1/2))
(sqrt 1/2)
(/ (sqrt (* 2 x)) l)
(+ (/ (* t t) x) (* t t))
(+ (+ (* 2 (+ (/ (* t t) x) (* t t))) (/ (* l l) x)) (/ (+ (* 2 (* t t)) (* l l)) x))
(/ (* (sqrt 2) t) (sqrt (+ (+ (* 2 (+ (/ (* t t) x) (* t t))) (/ (* l l) x)) (/ (+ (* 2 (* t t)) (* l l)) x))))
(* (sqrt 2) t)
(sqrt (* 2 x))
(sqrt (+ (+ (* 2 (+ (/ (* t t) x) (* t t))) (/ (* l l) x)) (/ (+ (* 2 (* t t)) (* l l)) x)))
(/ (+ (* 2 (* t t)) (* l l)) x)
(/ (* t t) x)
(/ (* l l) x)

Outputs
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
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(.f64 (fma.f64 (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) #s(literal 8 binary64) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 l l) (-.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 l l (.f64 #s(literal 2 binary64) (*.f64 t t))))
(.f64 (fma.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64) (.f64 (neg.f64 (.f64 l l)) (.f64 l l))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (*.f64 l l)))))
(.f64 (.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (fma.f64 (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) #s(literal 8 binary64) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 l l) (-.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 (.f64 t (.f64 t (*.f64 t t))) #s(literal 4 binary64))) x)))
(.f64 (.f64 (fma.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64) (.f64 (neg.f64 (.f64 l l)) (.f64 l l))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l)) x)))
(.f64 (neg.f64 (neg.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (*.f64 t t))))) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (fma.f64 (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) #s(literal 8 binary64) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 l l) (-.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)))))
(.f64 (.f64 (fma.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64) (.f64 (neg.f64 (.f64 l l)) (.f64 l l))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (*.f64 l l))))
(.f64 (pow.f64 (/.f64 x (fma.f64 (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) #s(literal 8 binary64) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 l l) (-.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 (.f64 t (.f64 t (*.f64 t t))) #s(literal 4 binary64)))))
(.f64 (pow.f64 (/.f64 x (fma.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64) (.f64 (neg.f64 (.f64 l l)) (.f64 l l)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))))
(.f64 (/.f64 (fma.f64 (.f64 l l) (-.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64))) x) (/.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (fma.f64 (.f64 l l) (-.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 (.f64 t (.f64 t (*.f64 t t))) #s(literal 4 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 x (.f64 t t))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (*.f64 t t) (neg.f64 x)))
(neg.f64 (/.f64 (*.f64 t t) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (*.f64 t t)) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 t t)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (.f64 t t) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 t t))))
(/.f64 (*.f64 t t) x)
(/.f64 (neg.f64 (*.f64 t t)) (neg.f64 x))
(/.f64 (.f64 (.f64 t t) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (neg.f64 (*.f64 t t))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (.f64 (.f64 t t) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 t t)))) (neg.f64 (neg.f64 (neg.f64 x))))
(pow.f64 (/.f64 x (*.f64 t t)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 t t) x))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (.f64 t t)))))
(*.f64 t (/.f64 t x))
(.f64 (.f64 t t) (/.f64 #s(literal 1 binary64) x))
(.f64 (neg.f64 (.f64 t t)) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 t t))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 t t)) #s(literal -1 binary64)))
(*.f64 (/.f64 t x) t)
(.f64 (.f64 (*.f64 t t) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (neg.f64 (neg.f64 (.f64 t t))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 (neg.f64 t) x))
(*.f64 (/.f64 (neg.f64 t) #s(literal -1 binary64)) (/.f64 t x))
(exp.f64 (.f64 (log.f64 (/.f64 x (.f64 l l))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (*.f64 l l) (neg.f64 x)))
(neg.f64 (/.f64 (*.f64 l l) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (*.f64 l l)) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 l l)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 l l)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 l l))))
(/.f64 (*.f64 l l) x)
(/.f64 (neg.f64 (*.f64 l l)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (*.f64 l l))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 l l)))) (neg.f64 (neg.f64 (neg.f64 x))))
(pow.f64 (/.f64 x (*.f64 l l)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 l l) x))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (.f64 l l)))))
(*.f64 l (/.f64 l x))
(.f64 (.f64 l l) (/.f64 #s(literal 1 binary64) x))
(.f64 (neg.f64 (.f64 l l)) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 l l))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 l l)) #s(literal -1 binary64)))
(*.f64 (/.f64 l x) l)
(.f64 (neg.f64 (neg.f64 (.f64 l l))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 l #s(literal -1 binary64)) (/.f64 (neg.f64 l) x))

simplify458.0ms (3.1%)

Memory

-9.8MiB live, 632.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 840×	`-lowering-.f32`
9 840×	`-lowering-.f64`
8 288×	`accelerator-lowering-fma.f32`
8 288×	`accelerator-lowering-fma.f64`
2 818×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	672	8422
1	2176	7970
0	8170	7686

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

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

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

eval170.0ms (1.2%)

Memory: 10.9MiB live, 272.6MiB allocated
Compiler: Compiled 42 185 to 3 160 computations (92.5% saved)

prune147.0ms (1%)

Memory

19.0MiB live, 345.6MiB allocated

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	1 116	5	1 121
Fresh	1	11	12
Picked	2	3	5
Done	0	3	3
Total	1 119	22	1 141

Accuracy

99.5%

Counts

1 141 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.2%	(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
	26.6%	(/.f64 (*.f64 (sqrt.f64 x) t) l)
	74.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
	52.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 l (/.f64 l (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64)))))) x))
	26.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
	43.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x (.f64 t t) (.f64 l l)) (.f64 (*.f64 t t) #s(literal 4 binary64))) x)))
	25.1%	(/.f64 (.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1 binary64))) (sqrt.f64 x)) l)
	39.1%	(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal -1 binary64) x)))
	26.6%	(/.f64 t (/.f64 l (sqrt.f64 x)))
	26.4%	(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 t (sqrt.f64 x))))
	3.6%	(/.f64 #s(literal -1 binary64) x)
✓	74.8%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
	26.6%	(*.f64 (/.f64 (sqrt.f64 x) l) t)
	55.9%	(.f64 (/.f64 t (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 l l (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 #s(literal 2 binary64) (*.f64 t (+.f64 t (/.f64 t x))))))) (sqrt.f64 #s(literal 2 binary64)))
	25.3%	(.f64 (/.f64 #s(literal 1 binary64) l) (.f64 t (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))))
	26.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (sqrt.f64 x)) t)
✓	26.5%	(.f64 (.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) l))
	23.8%	(*.f64 (sqrt.f64 x) (/.f64 t l))
✓	73.2%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
✓	74.9%	(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
✓	74.7%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
✓	74.3%	#s(literal 1 binary64)

Compiler

Compiled 1 272 to 471 computations (63% saved)

regimes88.0ms (0.6%)

Memory

2.0MiB live, 197.0MiB allocated

Counts

54 → 4

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 t l))
(*.f64 (/.f64 (sqrt.f64 x) l) t)
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (sqrt.f64 x)) t)
(.f64 (/.f64 #s(literal 1 binary64) l) (.f64 t (sqrt.f64 x)))
(/.f64 t (/.f64 l (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 t (sqrt.f64 x))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(.f64 (.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) l))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 t t))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) t) (.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))
(/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (.f64 (*.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 l l)) (.f64 l l))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x (.f64 t t) (.f64 l l)) (.f64 (*.f64 t t) #s(literal 4 binary64))) x)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (.f64 l (neg.f64 l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 x #s(literal 1 binary64))) (*.f64 l (neg.f64 l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (fma.f64 x x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 l (neg.f64 l)))))
(.f64 (/.f64 t (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 l l (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 #s(literal 2 binary64) (*.f64 t (+.f64 t (/.f64 t x))))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l) l (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 x #s(literal 1 binary64))) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (.f64 l (neg.f64 l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 l (/.f64 l (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64)))))) x))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 l (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (/.f64 l (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (*.f64 l l) x))) (neg.f64 x)))))
(.f64 x (fma.f64 (/.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (/.f64 (.f64 t t) (.f64 x x))) (-.f64 (+.f64 (/.f64 (.f64 l l) x) (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (.f64 l l) (.f64 x x)))) (-.f64 (/.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (.f64 x x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x))))))
(.f64 (/.f64 #s(literal 1 binary64) l) (.f64 t (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 l (.f64 t (sqrt.f64 x)))) #s(literal -1 binary64)))
(/.f64 (.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1 binary64))) (sqrt.f64 x)) l)

Outputs
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (*.f64 l l) x))) (neg.f64 x)))))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))

Calls

6 calls:

15.0ms	x
15.0ms	l
14.0ms	(*.f64 l l)
14.0ms	t
14.0ms	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))

Results

Accuracy	Segments	Branch
80.5%	3	`x`
83.5%	3	`l`
87.1%	4	`t`
83.7%	3	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
74.9%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
83.5%	3	`(*.f64 l l)`

Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes17.0ms (0.1%)

Memory

3.3MiB live, 41.6MiB allocated

Counts

48 → 4

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 t l))
(*.f64 (/.f64 (sqrt.f64 x) l) t)
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (sqrt.f64 x)) t)
(.f64 (/.f64 #s(literal 1 binary64) l) (.f64 t (sqrt.f64 x)))
(/.f64 t (/.f64 l (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 t (sqrt.f64 x))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(.f64 (.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) l))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 t t))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) t) (.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))
(/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (.f64 (*.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 l l)) (.f64 l l))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x (.f64 t t) (.f64 l l)) (.f64 (*.f64 t t) #s(literal 4 binary64))) x)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (.f64 l (neg.f64 l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 x #s(literal 1 binary64))) (*.f64 l (neg.f64 l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (fma.f64 x x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 l (neg.f64 l)))))
(.f64 (/.f64 t (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 l l (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 #s(literal 2 binary64) (*.f64 t (+.f64 t (/.f64 t x))))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l) l (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 x #s(literal 1 binary64))) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (.f64 l (neg.f64 l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 l (/.f64 l (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64)))))) x))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 l (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (/.f64 l (sqrt.f64 #s(literal 2 binary64))))))

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
86.8%	4	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes16.0ms (0.1%)

Memory

-7.2MiB live, 33.9MiB allocated

Counts

45 → 4

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 t l))
(*.f64 (/.f64 (sqrt.f64 x) l) t)
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (sqrt.f64 x)) t)
(.f64 (/.f64 #s(literal 1 binary64) l) (.f64 t (sqrt.f64 x)))
(/.f64 t (/.f64 l (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 t (sqrt.f64 x))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(.f64 (.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) l))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 t t))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) t) (.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))
(/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (.f64 (*.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 l l)) (.f64 l l))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x (.f64 t t) (.f64 l l)) (.f64 (*.f64 t t) #s(literal 4 binary64))) x)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (.f64 l (neg.f64 l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 x #s(literal 1 binary64))) (*.f64 l (neg.f64 l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (fma.f64 x x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 l (neg.f64 l)))))
(.f64 (/.f64 t (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 l l (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 #s(literal 2 binary64) (*.f64 t (+.f64 t (/.f64 t x))))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l) l (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 x #s(literal 1 binary64))) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (.f64 l (neg.f64 l)))))

Outputs
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x (.f64 t t) (.f64 l l)) (.f64 (*.f64 t t) #s(literal 4 binary64))) x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
86.8%	4	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes114.0ms (0.8%)

Memory

-12.3MiB live, 25.8MiB allocated

Counts

39 → 4

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 t l))
(*.f64 (/.f64 (sqrt.f64 x) l) t)
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (sqrt.f64 x)) t)
(.f64 (/.f64 #s(literal 1 binary64) l) (.f64 t (sqrt.f64 x)))
(/.f64 t (/.f64 l (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 t (sqrt.f64 x))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(.f64 (.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) l))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 t t))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) t) (.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))
(/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (.f64 (*.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 l l)) (.f64 l l))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x (.f64 t t) (.f64 l l)) (.f64 (*.f64 t t) #s(literal 4 binary64))) x)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (.f64 l (neg.f64 l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 x #s(literal 1 binary64))) (*.f64 l (neg.f64 l)))))

Outputs
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x (.f64 t t) (.f64 l l)) (.f64 (*.f64 t t) #s(literal 4 binary64))) x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))

Calls

1 calls:

112.0ms

Results

Accuracy	Segments	Branch
86.4%	4	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes75.0ms (0.5%)

Memory

-6.8MiB live, 70.2MiB allocated

Counts

34 → 2

Calls

Call 1

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

Outputs

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

(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 l (sqrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))

Calls

4 calls:

42.0ms	l
12.0ms	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
9.0ms	t
8.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
81.4%	2	`l`
81.4%	2	`(*.f64 l l)`
80.3%	2	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
81.2%	2	`t`

Compiler

Compiled 44 to 28 computations (36.4% saved)

regimes16.0ms (0.1%)

Memory

24.5MiB live, 24.5MiB allocated

Counts

27 → 2

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	l
7.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
81.2%	2	`l`
81.2%	2	`(*.f64 l l)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes40.0ms (0.3%)

Memory

-43.6MiB live, 15.4MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

34.0ms	l
3.0ms	t
3.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
81.0%	2	`t`
81.1%	2	`l`
81.1%	2	`(*.f64 l l)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes10.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	t
3.0ms	l
2.0ms	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
2.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
79.3%	2	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
79.2%	2	`t`
79.9%	2	`l`
79.9%	2	`(*.f64 l l)`

Compiler

Compiled 44 to 28 computations (36.4% saved)

regimes14.0ms (0.1%)

Memory

-5.9MiB live, 32.6MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

6 calls:

3.0ms	t
2.0ms	l
2.0ms	x
2.0ms	(*.f64 l l)
2.0ms	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))

Results

Accuracy	Segments	Branch
74.8%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
74.8%	1	`x`
74.8%	1	`t`
74.8%	1	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
74.8%	1	`l`
74.8%	1	`(*.f64 l l)`

Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes9.0ms (0.1%)

Memory

22.6MiB live, 22.6MiB allocated

Accuracy

Total -45.3b remaining (-275.2%)

Threshold costs -45.3b (-275.2%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary64)

Calls

6 calls:

1.0ms	x
1.0ms	t
1.0ms	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
1.0ms	l
1.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
74.3%	1	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
74.3%	1	`l`
74.3%	1	`(*.f64 l l)`
74.3%	1	`x`
74.3%	1	`t`
74.3%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 58 to 38 computations (34.5% saved)

bsearch107.0ms (0.7%)

Memory

4.3MiB live, 158.2MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.00028830690859647204	0.019817511294935117
35.0ms	8.588504342606608e-159	3.380299009067256e-156
38.0ms	2.778217574185206e-227	1.789570247543474e-224

Samples

43.0ms	205×	1	valid
16.0ms	141×	0	valid
10.0ms	56×	1	invalid
7.0ms	21×	2	valid
2.0ms	9×	2	invalid
0.0ms	1×	4	valid
0.0ms	3×	0	invalid

Compiler

Compiled 1 473 to 799 computations (45.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 17.0ms (26.5% of total)

ival-div: 12.0ms (18.7% of total)

adjust: 10.0ms (15.6% of total)

ival-sqrt: 10.0ms (15.6% of total)

ival-add: 8.0ms (12.5% of total)

ival-sub: 7.0ms (10.9% of total)

exact: 1.0ms (1.6% of total)

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

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

bsearch101.0ms (0.7%)

Memory

7.6MiB live, 164.6MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.00028830690859647204	0.019817511294935117
34.0ms	8.588504342606608e-159	3.380299009067256e-156
35.0ms	2.778217574185206e-227	1.789570247543474e-224

Samples

38.0ms	200×	1	valid
15.0ms	154×	0	valid
14.0ms	53×	1	invalid
3.0ms	11×	2	valid
1.0ms	3×	4	valid
1.0ms	4×	0	invalid
1.0ms	2×	2	invalid

Compiler

Compiled 1 248 to 724 computations (42% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 15.0ms (27.9% of total)

ival-div: 8.0ms (14.9% of total)

ival-sqrt: 8.0ms (14.9% of total)

ival-sub: 7.0ms (13% of total)

adjust: 7.0ms (13% of total)

ival-add: 7.0ms (13% of total)

exact: 1.0ms (1.9% of total)

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

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

bsearch115.0ms (0.8%)

Memory

-11.0MiB live, 209.4MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	0.00028830690859647204	0.019817511294935117
32.0ms	8.588504342606608e-159	3.380299009067256e-156
37.0ms	2.778217574185206e-227	1.789570247543474e-224

Samples

36.0ms	191×	1	valid
20.0ms	163×	0	valid
15.0ms	68×	1	invalid
5.0ms	14×	2	valid
2.0ms	6×	2	invalid
1.0ms	7×	0	invalid

Compiler

Compiled 1 098 to 694 computations (36.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 21.0ms (34.4% of total)

ival-sub: 8.0ms (13.1% of total)

ival-div: 8.0ms (13.1% of total)

ival-sqrt: 8.0ms (13.1% of total)

adjust: 7.0ms (11.5% of total)

ival-add: 7.0ms (11.5% of total)

exact: 1.0ms (1.6% of total)

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

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

bsearch385.0ms (2.6%)

Memory

-144.2MiB live, 209.2MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	0.00028830690859647204	0.019817511294935117
61.0ms	8.588504342606608e-159	3.380299009067256e-156
284.0ms	8.873918669479172e-197	1.1911300091653287e-192

Samples

262.0ms	62×	1	invalid
66.0ms	191×	1	valid
19.0ms	155×	0	valid
5.0ms	19×	2	valid
1.0ms	3×	4	valid
1.0ms	3×	2	invalid
0.0ms	2×	0	invalid

Compiler

Compiled 810 to 566 computations (30.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 311.0ms

ival-sub: 257.0ms (82.5% of total)

ival-mult: 18.0ms (5.8% of total)

ival-sqrt: 11.0ms (3.5% of total)

adjust: 8.0ms (2.6% of total)

ival-div: 8.0ms (2.6% of total)

ival-add: 7.0ms (2.2% of total)

exact: 1.0ms (0.3% of total)

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

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

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.619214688602814e+273	2.388754563521537e+275

Compiler

Compiled 31 to 24 computations (22.6% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.619214688602814e+273	2.388754563521537e+275

Compiler

Compiled 31 to 24 computations (22.6% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.619214688602814e+273	2.388754563521537e+275

Compiler

Compiled 31 to 24 computations (22.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.619214688602814e+273	2.388754563521537e+275

Compiler

Compiled 31 to 24 computations (22.6% saved)

simplify68.0ms (0.5%)

Memory

22.0MiB live, 60.1MiB allocated

Algorithm

1×	egg-herbie

Rules

484×	`distribute-lft-neg-in_binary64`
286×	`unsub-neg_binary64`
282×	`neg-mul-1_binary64`
256×	`neg-sub0_binary64`
200×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	426
1	136	426
2	151	426
3	166	425
4	192	425
5	240	425
6	284	425
7	350	425
8	457	425
9	590	425
10	731	425
11	845	425
12	976	425
13	1121	425
14	1275	425
15	1414	425
16	1523	425
17	1566	425
18	1574	425

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 t #s(literal 1600323463891165/13336028865759708548159703581442515594289516644631816320792515623528074475635264143042864401743108581485859821186866480891777603308238730160726712104661660092190315159028029116926156571823628049457930032271773203963381496074952922582327754752 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) l))) (if (<=.f64 t #s(literal 2349638813994493/61832600368276133515125630254911797508782837275302959978515764023224306276632966792579100265310761247399417856504034834837841258576687802491886538775473291979151693037174784 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 t #s(literal 8762203435012037/2305843009213693952 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x))) (neg.f64 x))))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))))
(if (<=.f64 t #s(literal 4694282160747417/106688230926077668385277628651540124754316133157054530566340124988224595805082113144342915213944868651886878569494931847134220826465909841285813696837293280737522521272224232935409252574589024395663440258174185631707051968599623380658622038016 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) l))) (if (<=.f64 t #s(literal 2127041452668699/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 t #s(literal 662929865148937/288230376151711744 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x)))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))))
(if (<=.f64 t #s(literal 3250657036028929/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) l))) (if (<=.f64 t #s(literal 3338960419886911/61832600368276133515125630254911797508782837275302959978515764023224306276632966792579100265310761247399417856504034834837841258576687802491886538775473291979151693037174784 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 t #s(literal 5476377146882523/288230376151711744 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x (.f64 t t) (.f64 l l)) (.f64 (.f64 t t) #s(literal 4 binary64))) x))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))))
(if (<=.f64 t #s(literal 6575169876935467/5260135901548373507240989882880128665550339802823173859498280903068732154297080822113666536277588451226982968856178217713019432250183803863127814770651880849955223671128444598191663757884322717271293251735781376 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) l))) (if (<=.f64 t #s(literal 8903894453031763/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 t #s(literal 5072854620270127/2305843009213693952 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x (.f64 t t) (.f64 l l)) (.f64 (.f64 t t) #s(literal 4 binary64))) x))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))))
(if (<=.f64 (.f64 l l) #s(literal 1999999999999999890804683393185349769157953083910885318265220719651437388485828238629684325641350559298078414599142617667693818382277369945015978564673391565215334080451836550101368130522335033956354709580531210130932132738753700702586121847078092877339360813809429907505152 binary64)) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 l (sqrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)))))
(if (<=.f64 (.f64 l l) #s(literal 1999999999999999890804683393185349769157953083910885318265220719651437388485828238629684325641350559298078414599142617667693818382277369945015978564673391565215334080451836550101368130522335033956354709580531210130932132738753700702586121847078092877339360813809429907505152 binary64)) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (/.f64 (sqrt.f64 x) l) t))
(if (<=.f64 (.f64 l l) #s(literal 1999999999999999890804683393185349769157953083910885318265220719651437388485828238629684325641350559298078414599142617667693818382277369945015978564673391565215334080451836550101368130522335033956354709580531210130932132738753700702586121847078092877339360813809429907505152 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (/.f64 (sqrt.f64 x) l) t))
(if (<=.f64 (.f64 l l) #s(literal 1999999999999999890804683393185349769157953083910885318265220719651437388485828238629684325641350559298078414599142617667693818382277369945015978564673391565215334080451836550101368130522335033956354709580531210130932132738753700702586121847078092877339360813809429907505152 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (sqrt.f64 x) (/.f64 t l)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
#s(literal 1 binary64)

Outputs
(if (<=.f64 t #s(literal 1600323463891165/13336028865759708548159703581442515594289516644631816320792515623528074475635264143042864401743108581485859821186866480891777603308238730160726712104661660092190315159028029116926156571823628049457930032271773203963381496074952922582327754752 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) l))) (if (<=.f64 t #s(literal 2349638813994493/61832600368276133515125630254911797508782837275302959978515764023224306276632966792579100265310761247399417856504034834837841258576687802491886538775473291979151693037174784 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 t #s(literal 8762203435012037/2305843009213693952 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x))) (neg.f64 x))))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))))
(if (<=.f64 t #s(literal 1600323463891165/13336028865759708548159703581442515594289516644631816320792515623528074475635264143042864401743108581485859821186866480891777603308238730160726712104661660092190315159028029116926156571823628049457930032271773203963381496074952922582327754752 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) l))) (if (<=.f64 t #s(literal 2349638813994493/61832600368276133515125630254911797508782837275302959978515764023224306276632966792579100265310761247399417856504034834837841258576687802491886538775473291979151693037174784 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 t #s(literal 8762203435012037/2305843009213693952 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x)) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)))) x)))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))))
(if (<=.f64 t #s(literal 4694282160747417/106688230926077668385277628651540124754316133157054530566340124988224595805082113144342915213944868651886878569494931847134220826465909841285813696837293280737522521272224232935409252574589024395663440258174185631707051968599623380658622038016 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) l))) (if (<=.f64 t #s(literal 2127041452668699/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 t #s(literal 662929865148937/288230376151711744 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x)))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))))
(if (<=.f64 t #s(literal 4694282160747417/106688230926077668385277628651540124754316133157054530566340124988224595805082113144342915213944868651886878569494931847134220826465909841285813696837293280737522521272224232935409252574589024395663440258174185631707051968599623380658622038016 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) l))) (if (<=.f64 t #s(literal 2127041452668699/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 t #s(literal 662929865148937/288230376151711744 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x) (fma.f64 #s(literal 2 binary64) (+.f64 (.f64 t t) (/.f64 (.f64 t t) x)) (/.f64 (*.f64 l l) x))))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))))
(if (<=.f64 t #s(literal 3250657036028929/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) l))) (if (<=.f64 t #s(literal 3338960419886911/61832600368276133515125630254911797508782837275302959978515764023224306276632966792579100265310761247399417856504034834837841258576687802491886538775473291979151693037174784 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 t #s(literal 5476377146882523/288230376151711744 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x (.f64 t t) (.f64 l l)) (.f64 (.f64 t t) #s(literal 4 binary64))) x))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))))
(if (<=.f64 t #s(literal 3250657036028929/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) l))) (if (<=.f64 t #s(literal 3338960419886911/61832600368276133515125630254911797508782837275302959978515764023224306276632966792579100265310761247399417856504034834837841258576687802491886538775473291979151693037174784 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 t #s(literal 5476377146882523/288230376151711744 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x (.f64 t t) (.f64 l l)) (.f64 (.f64 t t) #s(literal 4 binary64))) x))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))))
(if (<=.f64 t #s(literal 6575169876935467/5260135901548373507240989882880128665550339802823173859498280903068732154297080822113666536277588451226982968856178217713019432250183803863127814770651880849955223671128444598191663757884322717271293251735781376 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) l))) (if (<=.f64 t #s(literal 8903894453031763/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 t #s(literal 5072854620270127/2305843009213693952 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x (.f64 t t) (.f64 l l)) (.f64 (.f64 t t) #s(literal 4 binary64))) x))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))))
(if (<=.f64 t #s(literal 6575169876935467/5260135901548373507240989882880128665550339802823173859498280903068732154297080822113666536277588451226982968856178217713019432250183803863127814770651880849955223671128444598191663757884322717271293251735781376 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) l))) (if (<=.f64 t #s(literal 8903894453031763/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 t #s(literal 5072854620270127/2305843009213693952 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x (.f64 t t) (.f64 l l)) (.f64 (.f64 t t) #s(literal 4 binary64))) x))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))))
(if (<=.f64 (.f64 l l) #s(literal 1999999999999999890804683393185349769157953083910885318265220719651437388485828238629684325641350559298078414599142617667693818382277369945015978564673391565215334080451836550101368130522335033956354709580531210130932132738753700702586121847078092877339360813809429907505152 binary64)) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 l (sqrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)))))
(if (<=.f64 (.f64 l l) #s(literal 1999999999999999890804683393185349769157953083910885318265220719651437388485828238629684325641350559298078414599142617667693818382277369945015978564673391565215334080451836550101368130522335033956354709580531210130932132738753700702586121847078092877339360813809429907505152 binary64)) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 l (sqrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)))))
(if (<=.f64 (.f64 l l) #s(literal 1999999999999999890804683393185349769157953083910885318265220719651437388485828238629684325641350559298078414599142617667693818382277369945015978564673391565215334080451836550101368130522335033956354709580531210130932132738753700702586121847078092877339360813809429907505152 binary64)) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (/.f64 (sqrt.f64 x) l) t))
(if (<=.f64 (.f64 l l) #s(literal 1999999999999999890804683393185349769157953083910885318265220719651437388485828238629684325641350559298078414599142617667693818382277369945015978564673391565215334080451836550101368130522335033956354709580531210130932132738753700702586121847078092877339360813809429907505152 binary64)) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 t (/.f64 (sqrt.f64 x) l)))
(if (<=.f64 (.f64 l l) #s(literal 1999999999999999890804683393185349769157953083910885318265220719651437388485828238629684325641350559298078414599142617667693818382277369945015978564673391565215334080451836550101368130522335033956354709580531210130932132738753700702586121847078092877339360813809429907505152 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (/.f64 (sqrt.f64 x) l) t))
(if (<=.f64 (.f64 l l) #s(literal 1999999999999999890804683393185349769157953083910885318265220719651437388485828238629684325641350559298078414599142617667693818382277369945015978564673391565215334080451836550101368130522335033956354709580531210130932132738753700702586121847078092877339360813809429907505152 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 t (/.f64 (sqrt.f64 x) l)))
(if (<=.f64 (.f64 l l) #s(literal 1999999999999999890804683393185349769157953083910885318265220719651437388485828238629684325641350559298078414599142617667693818382277369945015978564673391565215334080451836550101368130522335033956354709580531210130932132738753700702586121847078092877339360813809429907505152 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (sqrt.f64 x) (/.f64 t l)))
(if (<=.f64 (.f64 l l) #s(literal 1999999999999999890804683393185349769157953083910885318265220719651437388485828238629684325641350559298078414599142617667693818382277369945015978564673391565215334080451836550101368130522335033956354709580531210130932132738753700702586121847078092877339360813809429907505152 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) (/.f64 t l)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)

soundness1.2s (8.5%)

Memory

-16.7MiB live, 1 236.7MiB allocated

Rules

10 416×	`accelerator-lowering-fma.f32`
10 416×	`accelerator-lowering-fma.f64`
9 840×	`-lowering-.f32`
9 840×	`-lowering-.f64`
9 668×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	162
1	182	145
2	1373	135
0	8588	130
0	565	5733
1	1732	5200
2	6728	5147
0	8221	4965
0	1331	15943
1	4402	14951
0	9653	13984
0	672	8422
1	2176	7970
0	8170	7686
0	676	10349
1	2332	9162
0	8701	8754
0	46	262
1	284	230
2	2747	223
0	8857	214

Stop Event

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

Compiler

Compiled 1 249 to 687 computations (45% saved)

preprocess131.0ms (0.9%)

Memory: -14.8MiB live, 216.3MiB allocated
Compiler: Compiled 1 772 to 630 computations (64.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	38	250
1	77	238
2	142	238
3	229	238
4	347	238
5	421	238
6	517	238
7	523	238
0	523	226

Iter	Nodes	Cost
0	38	250
1	77	238
2	142	238
3	229	238
4	347	238
5	421	238
6	517	238
7	523	238
0	523	226

analyze309.0ms (2.1%)

sample3.1s (21.4%)

preprocess719.0ms (4.9%)

explain588.0ms (4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify530.0ms (3.6%)

localize66.0ms (0.5%)

series56.0ms (0.4%)

rewrite513.0ms (3.5%)

simplify870.0ms (6%)

eval92.0ms (0.6%)

prune93.0ms (0.6%)

simplify332.0ms (2.3%)

localize290.0ms (2%)

series100.0ms (0.7%)

rewrite384.0ms (2.6%)

simplify510.0ms (3.5%)

eval214.0ms (1.5%)

prune339.0ms (2.3%)

simplify284.0ms (2%)

localize106.0ms (0.7%)

series64.0ms (0.4%)

rewrite326.0ms (2.2%)

simplify339.0ms (2.3%)

eval155.0ms (1.1%)

prune214.0ms (1.5%)

simplify25.0ms (0.2%)

localize158.0ms (1.1%)

series62.0ms (0.4%)

rewrite377.0ms (2.6%)

simplify458.0ms (3.1%)

eval170.0ms (1.2%)

prune147.0ms (1%)

regimes88.0ms (0.6%)

regimes17.0ms (0.1%)

regimes16.0ms (0.1%)

regimes114.0ms (0.8%)

regimes75.0ms (0.5%)

regimes16.0ms (0.1%)

regimes40.0ms (0.3%)

regimes10.0ms (0.1%)

regimes14.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch107.0ms (0.7%)

bsearch101.0ms (0.7%)

bsearch115.0ms (0.8%)

bsearch385.0ms (2.6%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify68.0ms (0.5%)

soundness1.2s (8.5%)

preprocess131.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	38	250
1	77	238
2	142	238
3	229	238
4	347	238
5	421	238
6	517	238
7	523	238
0	523	226