Metrics for Toniolo and Linder, Equation (7)

analyze339.0ms (2.1%)

Memory

-9.6MiB live, 619.7MiB 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)

sample3.0s (18.6%)

Memory

-32.2MiB live, 4 732.8MiB allocated

Samples

917.0ms	5 316×	0	valid
620.0ms	2 743×	1	valid
397.0ms	1 619×	1	invalid
316.0ms	2 727×	0	invalid
55.0ms	197×	2	valid
31.0ms	103×	2	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-mult: 524.0ms (32.8% of total)

ival-add: 270.0ms (16.9% of total)

ival-sqrt: 262.0ms (16.4% of total)

ival-div: 206.0ms (12.9% of total)

ival-sub: 192.0ms (12% of total)

adjust: 111.0ms (7% of total)

exact: 17.0ms (1.1% of total)

ival-true: 11.0ms (0.7% of total)

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

Bogosity

preprocess625.0ms (3.9%)

Memory

10.5MiB live, 810.7MiB 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)) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (+.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)

explain254.0ms (1.6%)

Memory

14.5MiB live, 539.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
115	-	-	`(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)))`
94	-	-	`(-.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	-	-	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
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	-	-	`#s(literal 1 binary64)`
0	-	-	`t`
0	-	-	`(.f64 #s(literal 2 binary64) (.f64 t t))`
0	-	-	`(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)`
0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	-	-	`(*.f64 l l)`
0	-	-	`(sqrt.f64 #s(literal 2 binary64))`
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	-	-	`(*.f64 t t)`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(-.f64 x #s(literal 1 binary64))`
0	-	-	`l`
0	-	-	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`
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	93	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	93
↳	`(.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	103
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	71
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	overflow	103
↳	`(*.f64 t t)`	overflow	71
↳	`(*.f64 l l)`	overflow	100
`-.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	50	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	103
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	71
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	overflow	103
↳	`(*.f64 t t)`	overflow	71
↳	`(*.f64 l l)`	overflow	50
↳	`(*.f64 l l)`	overflow	50
`-.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	44	0
`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	22	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	22
↳	`(.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	17
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	underflow	45
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	underflow	17
↳	`(*.f64 t t)`	underflow	45
↳	`(*.f64 l l)`	underflow	156

Confusion

	Predicted +	Predicted -
+	169	0
-	0	87

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	169	0	0
-	0	0	87

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	87
1	129
2	40

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

50.0ms	334×	0	valid
45.0ms	170×	1	valid
3.0ms	8×	2	valid

Compiler

Compiled 326 to 76 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 24.0ms (37.1% of total)

ival-div: 13.0ms (20.1% of total)

ival-sqrt: 9.0ms (13.9% of total)

ival-sub: 6.0ms (9.3% of total)

ival-add: 6.0ms (9.3% of total)

adjust: 4.0ms (6.2% of total)

exact: 1.0ms (1.5% of total)

ival-true: 1.0ms (1.5% of total)

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

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune17.0ms (0.1%)

Memory

-37.0MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	36.1%	(/.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))))

Status

Accuracy

Program

▶

36.1%

(/.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))))

Compiler

Compiled 30 to 18 computations (40% saved)

simplify530.0ms (3.3%)

Memory

21.2MiB live, 979.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(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	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	cost-diff	(/.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))))

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

localize75.0ms (0.5%)

Memory

-4.7MiB live, 145.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.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	68.4%	(-.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	57.8%	(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

21.0ms	85×	1	valid
20.0ms	167×	0	valid
1.0ms	4×	2	valid

Compiler

Compiled 133 to 20 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 9.0ms (32% of total)

ival-sqrt: 6.0ms (21.4% of total)

ival-div: 4.0ms (14.2% of total)

ival-sub: 3.0ms (10.7% of total)

ival-add: 3.0ms (10.7% of total)

adjust: 2.0ms (7.1% of total)

exact: 0.0ms (0% of total)

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

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

series74.0ms (0.5%)

Memory

-0.2MiB live, 116.1MiB allocated

Counts

5 → 120

Calls

Call 1

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

30 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
5.0ms	x	@	0	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
5.0ms	l	@	0	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
5.0ms	x	@	-inf	(sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
4.0ms	t	@	inf	(- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))

rewrite950.0ms (5.9%)

Memory

49.9MiB live, 1 071.3MiB 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	76
1	103	76
2	915	75
0	8798	72

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 358

Calls

Call 1

Inputs
(/ (* (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
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (/.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)) #s(literal 2 binary64))) t)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 t #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.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 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (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 t #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.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))))))
(neg.f64 (.f64 (/.f64 t #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.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))))))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 t #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.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)))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.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)) #s(literal 2 binary64))) t)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.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))) t))
(/.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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.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)) #s(literal 2 binary64))) t))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (-.f64 #s(literal 0 binary64) (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 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (/.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)) #s(literal 2 binary64))) t)))
(pow.f64 (/.f64 (sqrt.f64 (/.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)) #s(literal 2 binary64))) t) #s(literal -1 binary64))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 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 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.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 t (.f64 (pow.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)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 t (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (pow.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)) #s(literal -1/2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (pow.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)) #s(literal -1/2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.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 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (neg.f64 (pow.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)) #s(literal -1/2 binary64))))
(.f64 (pow.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)) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(.f64 (pow.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)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 t #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.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 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)))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (pow.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)) #s(literal -1/2 binary64)))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 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 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 t (neg.f64 (pow.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)) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.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)) #s(literal 1/4 binary64))) (/.f64 t (pow.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)) #s(literal 1/4 binary64))))
(.f64 (/.f64 t (pow.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)) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.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)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (pow.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)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.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)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 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 t #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (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 (-.f64 #s(literal 0 binary64) t) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.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 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 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 (pow.f64 (/.f64 (sqrt.f64 (/.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)) #s(literal 2 binary64))) t) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (/.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)) #s(literal 2 binary64))) t) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) t) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.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 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 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 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (neg.f64 (pow.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)) #s(literal -1/2 binary64))))
(.f64 (.f64 (pow.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)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) t)
(.f64 (.f64 (pow.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)) #s(literal -1/2 binary64)) t) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 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)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) t)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t #s(literal 1 binary64)))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(*.f64 t (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(*.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) t))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) t))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) t)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) t)
(.f64 (.f64 t (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.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))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (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)))))
(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)))
(neg.f64 (-.f64 #s(literal 0 binary64) (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 #s(literal 1 binary64) (pow.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)) #s(literal -1/2 binary64)))
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simplify721.0ms (4.4%)

Memory

-0.5MiB live, 515.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 338×	`accelerator-lowering-fma.f32`
10 338×	`accelerator-lowering-fma.f64`
9 600×	`-lowering-.f32`
9 600×	`-lowering-.f64`
3 954×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	670	10103
1	2312	8916
0	8650	8526

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

eval322.0ms (2%)

Memory: -22.1MiB live, 56.0MiB allocated
Compiler: Compiled 31 933 to 2 063 computations (93.5% saved)

prune95.0ms (0.6%)

Memory

30.8MiB live, 70.5MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	461	17	478
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	461	18	479

Accuracy

90.5%

Counts

479 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.7%	(/.f64 (-.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #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)))))) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t (.f64 t t)))) (.f64 l (.f64 l (+.f64 x #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.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 (/.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 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))))) l)
	50.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (+.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 t x)) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))))
▶	75.9%	(/.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))))))
	73.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
	4.6%	(/.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))))))
▶	31.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) x)))) (+.f64 x #s(literal -1 binary64)))))
	3.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (.f64 l l))))
✓	36.1%	(/.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))))
	54.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 t (.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 (.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) #s(literal -2 binary64)) (/.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) x)) (+.f64 (/.f64 (.f64 t (.f64 t #s(literal 2 binary64))) x) (/.f64 (*.f64 l l) x))) x))))
	54.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 t (.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) #s(literal -2 binary64)) (/.f64 (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64))))) (/.f64 (.f64 t (.f64 t #s(literal 2 binary64))) x)) (+.f64 (/.f64 (.f64 l l) x) (/.f64 (+.f64 (.f64 l l) (.f64 t (*.f64 t #s(literal 2 binary64)))) x))) x)) x))))
▶	52.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (/.f64 (.f64 t (.f64 t #s(literal 2 binary64))) x) (-.f64 (+.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) (.f64 x (.f64 x x))) (.f64 t t))) (+.f64 (/.f64 (.f64 l l) x) (/.f64 (.f64 l l) (.f64 x (.f64 x x))))) (-.f64 (-.f64 (/.f64 (.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) #s(literal -2 binary64)) (.f64 x x)) (/.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) (.f64 x (.f64 x x)))) (/.f64 (+.f64 (.f64 l l) (.f64 t (*.f64 t #s(literal 2 binary64)))) x))))))
	54.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t))) (+.f64 (/.f64 (.f64 l l) x) (/.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) x)))))
	36.4%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.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)) #s(literal 2 binary64))) t))
	74.8%	(.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))))
▶	3.3%	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))))
	4.8%	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) (-.f64 (.f64 (.f64 l l) #s(literal -1 binary64)) (*.f64 l l))))))
	72.5%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
▶	36.3%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.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 1 264 to 652 computations (48.4% saved)

simplify806.0ms (5%)

Memory

-79.3MiB live, 569.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	256	(+.f64 (/.f64 (.f64 l l) x) (/.f64 (.f64 l l) (.f64 x (.f64 x x))))
✓	cost-diff	256	(+.f64 (/.f64 (.f64 t (.f64 t #s(literal 2 binary64))) x) (-.f64 (+.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) (.f64 x (.f64 x x))) (.f64 t t))) (+.f64 (/.f64 (.f64 l l) x) (/.f64 (.f64 l l) (.f64 x (.f64 x x))))) (-.f64 (-.f64 (/.f64 (.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) #s(literal -2 binary64)) (.f64 x x)) (/.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) (.f64 x (.f64 x x)))) (/.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) x))))
✓	cost-diff	512	(-.f64 (-.f64 (/.f64 (.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) #s(literal -2 binary64)) (.f64 x x)) (/.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) (.f64 x (.f64 x x)))) (/.f64 (+.f64 (.f64 l l) (.f64 t (*.f64 t #s(literal 2 binary64)))) x))
✓	cost-diff	768	(-.f64 (/.f64 (.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) #s(literal -2 binary64)) (.f64 x x)) (/.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) (.f64 x (.f64 x x))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))))
✓	cost-diff	128	(-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l))
✓	cost-diff	0	(sqrt.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t (*.f64 t (+.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	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) x)))) (+.f64 x #s(literal -1 binary64)))))
✓	cost-diff	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))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (-.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	0	(sqrt.f64 (/.f64 #s(literal 2 binary64) (-.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	0	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.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	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	13184	(/.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

20 496×	`accelerator-lowering-fma.f32`
20 496×	`accelerator-lowering-fma.f64`
4 094×	`+-lowering-+.f64`
4 094×	`+-lowering-+.f32`
3 618×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	975
1	193	933
2	572	927
3	1872	861
4	5390	821
0	8102	786

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

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

localize431.0ms (2.7%)

Memory

29.9MiB live, 854.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	84.5%	(/.f64 (.f64 t t) (.f64 x (*.f64 x x)))
✓	accuracy	75.3%	(/.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) (.f64 x (*.f64 x x)))
✓	accuracy	72.2%	(/.f64 (.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) #s(literal -2 binary64)) (*.f64 x x))
✓	accuracy	72.1%	(sqrt.f64 (+.f64 (/.f64 (.f64 t (.f64 t #s(literal 2 binary64))) x) (-.f64 (+.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) (.f64 x (.f64 x x))) (.f64 t t))) (+.f64 (/.f64 (.f64 l l) x) (/.f64 (.f64 l l) (.f64 x (.f64 x x))))) (-.f64 (-.f64 (/.f64 (.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) #s(literal -2 binary64)) (.f64 x x)) (/.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) (.f64 x (.f64 x x)))) (/.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) x)))))
✓	accuracy	98.3%	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))))
✓	accuracy	91.5%	(/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	76.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l))))
✓	accuracy	62.8%	(-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l))
✓	accuracy	99.9%	(.f64 t (.f64 t (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.5%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	accuracy	93.7%	(/.f64 (.f64 #s(literal 2 binary64) (.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) x)))) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	71.8%	(sqrt.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) x)))) (+.f64 x #s(literal -1 binary64))))
✓	accuracy	99.8%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.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	99.4%	(/.f64 #s(literal 2 binary64) (-.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	73.4%	(-.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	73.0%	(sqrt.f64 (/.f64 #s(literal 2 binary64) (-.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	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%	(/.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))))))
✓	accuracy	99.5%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	accuracy	99.5%	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))

Samples

136.0ms	123×	1	valid
57.0ms	61×	1	invalid
40.0ms	30×	2	valid
36.0ms	26×	2	invalid
4.0ms	10×	0	valid
3.0ms	6×	0	invalid

Compiler

Compiled 1 023 to 65 computations (93.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 193.0ms

ival-div: 55.0ms (28.5% of total)

ival-mult: 53.0ms (27.4% of total)

ival-sqrt: 27.0ms (14% of total)

adjust: 23.0ms (11.9% of total)

ival-add: 22.0ms (11.4% of total)

ival-sub: 11.0ms (5.7% of total)

exact: 1.0ms (0.5% of total)

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

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

series126.0ms (0.8%)

Memory

19.0MiB live, 304.5MiB allocated

Counts

25 → 684

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

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

Calls

171 calls:

Time	Variable		Point	Expression
11.0ms	x	@	-inf	(/ (* (sqrt 2) t) (sqrt (/ (* 2 (* t (* t (+ 1 x)))) (+ x -1))))
10.0ms	x	@	inf	(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)))))
4.0ms	x	@	0	(/ (* (+ (* l l) (* t (* t 2))) -2) (* x x))
3.0ms	x	@	inf	(sqrt (/ 2 (- (* (/ (+ x 1) (+ x -1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
3.0ms	x	@	-inf	(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)))))

rewrite454.0ms (2.8%)

Memory

-26.1MiB live, 1 133.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 814×	`-lowering-.f32`
5 814×	`-lowering-.f64`
5 462×	`accelerator-lowering-fma.f32`
5 462×	`accelerator-lowering-fma.f64`
2 958×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	528
1	466	460
2	5292	460
0	8794	430

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 768

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

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

simplify570.0ms (3.5%)

Memory

12.2MiB live, 1 283.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 058×	`-lowering-.f32`
7 058×	`-lowering-.f64`
5 824×	`accelerator-lowering-fma.f32`
5 824×	`accelerator-lowering-fma.f64`
3 508×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1659	31533
1	5625	30608
0	8327	29192

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 684

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

Outputs
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(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)))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.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)))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x #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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (/ 1 (* x (pow (sqrt -1) 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(+ 1 (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2)))) (/ 1 (pow (sqrt -1) 2))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 1 binary64)) 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)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) x))) x)) #s(literal 1 binary64)) x))
(* 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)))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
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(* l (+ (sqrt (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 3))) (* 2 (/ 1 x))))) (+ (* -1/8 (* (/ (pow (- (+ (* 2 (+ (/ (pow t 2) (pow x 3)) (pow t 2))) (+ (* 2 (/ (pow t 2) (pow x 3))) (* 4 (/ (pow t 2) x)))) (* -4 (/ (pow t 2) (pow x 2)))) 2) (* (pow l 4) (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 3))) (* 2 (/ 1 x)))))) (sqrt (/ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (* 2 (/ 1 (pow x 2))))))))) (+ (* 1/16 (* (/ (pow (- (+ (* 2 (+ (/ (pow t 2) (pow x 3)) (pow t 2))) (+ (* 2 (/ (pow t 2) (pow x 3))) (* 4 (/ (pow t 2) x)))) (* -4 (/ (pow t 2) (pow x 2)))) 3) (* (pow l 6) (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 3))) (* 2 (/ 1 x)))))) (sqrt (/ 1 (pow (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (* 2 (/ 1 (pow x 2))))) 3))))) (* 1/2 (* (/ (- (+ (* 2 (+ (/ (pow t 2) (pow x 3)) (pow t 2))) (+ (* 2 (/ (pow t 2) (pow x 3))) (* 4 (/ (pow t 2) x)))) (* -4 (/ (pow t 2) (pow x 2)))) (pow l 2)) (sqrt (/ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (* 2 (/ 1 (pow x 2)))))))))))))
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(* -1 (* l (sqrt (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 3))) (* 2 (/ 1 x)))))))
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(* -1 (* l (+ (sqrt (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 3))) (* 2 (/ 1 x))))) (* 1/2 (* (/ (- (+ (* 2 (+ (/ (pow t 2) (pow x 3)) (pow t 2))) (+ (* 2 (/ (pow t 2) (pow x 3))) (* 4 (/ (pow t 2) x)))) (* -4 (/ (pow t 2) (pow x 2)))) (pow l 2)) (sqrt (/ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (* 2 (/ 1 (pow x 2))))))))))))
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(* -1 (* l (+ (sqrt (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 3))) (* 2 (/ 1 x))))) (+ (* -1/8 (* (/ (pow (- (+ (* 2 (+ (/ (pow t 2) (pow x 3)) (pow t 2))) (+ (* 2 (/ (pow t 2) (pow x 3))) (* 4 (/ (pow t 2) x)))) (* -4 (/ (pow t 2) (pow x 2)))) 2) (* (pow l 4) (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 3))) (* 2 (/ 1 x)))))) (sqrt (/ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (* 2 (/ 1 (pow x 2))))))))) (* 1/2 (* (/ (- (+ (* 2 (+ (/ (pow t 2) (pow x 3)) (pow t 2))) (+ (* 2 (/ (pow t 2) (pow x 3))) (* 4 (/ (pow t 2) x)))) (* -4 (/ (pow t 2) (pow x 2)))) (pow l 2)) (sqrt (/ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (* 2 (/ 1 (pow x 2)))))))))))))
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(* -1 (* l (+ (sqrt (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 3))) (* 2 (/ 1 x))))) (+ (* -1/8 (* (/ (pow (- (+ (* 2 (+ (/ (pow t 2) (pow x 3)) (pow t 2))) (+ (* 2 (/ (pow t 2) (pow x 3))) (* 4 (/ (pow t 2) x)))) (* -4 (/ (pow t 2) (pow x 2)))) 2) (* (pow l 4) (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 3))) (* 2 (/ 1 x)))))) (sqrt (/ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (* 2 (/ 1 (pow x 2))))))))) (+ (* 1/16 (* (/ (pow (- (+ (* 2 (+ (/ (pow t 2) (pow x 3)) (pow t 2))) (+ (* 2 (/ (pow t 2) (pow x 3))) (* 4 (/ (pow t 2) x)))) (* -4 (/ (pow t 2) (pow x 2)))) 3) (* (pow l 6) (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 3))) (* 2 (/ 1 x)))))) (sqrt (/ 1 (pow (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (* 2 (/ 1 (pow x 2))))) 3))))) (* 1/2 (* (/ (- (+ (* 2 (+ (/ (pow t 2) (pow x 3)) (pow t 2))) (+ (* 2 (/ (pow t 2) (pow x 3))) (* 4 (/ (pow t 2) x)))) (* -4 (/ (pow t 2) (pow x 2)))) (pow l 2)) (sqrt (/ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (* 2 (/ 1 (pow x 2))))))))))))))
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(* (pow l 2) (- (* -4 (/ (pow t 2) (* (pow l 2) (pow x 2)))) (* 2 (/ 1 (pow x 2)))))
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(* -2 (/ (pow l 2) (pow x 2)))
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(* (pow l 2) (- (* -4 (/ (pow t 2) (* (pow l 2) (pow x 2)))) (* 2 (/ 1 (pow x 2)))))
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(* (pow l 2) (- (* -4 (/ (pow t 2) (* (pow l 2) (pow x 2)))) (* 2 (/ 1 (pow x 2)))))
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(* (pow l 2) (- (* -4 (/ (pow t 2) (* (pow l 2) (pow x 2)))) (* 2 (/ 1 (pow x 2)))))
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(+ (* -4 (/ (pow t 2) (pow x 2))) (* -2 (/ (pow l 2) (pow x 2))))
(+.f64 (/.f64 (.f64 #s(literal -4 binary64) (.f64 t t)) (.f64 x x)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 l l)) (.f64 x x)))
(+ (* -4 (/ (pow t 2) (pow x 2))) (* -2 (/ (pow l 2) (pow x 2))))
(+.f64 (/.f64 (.f64 #s(literal -4 binary64) (.f64 t t)) (.f64 x x)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 l l)) (.f64 x x)))
(* -4 (/ (pow t 2) (pow x 2)))
(/.f64 (.f64 #s(literal -4 binary64) (.f64 t t)) (*.f64 x x))
(* (pow t 2) (- (* -2 (/ (pow l 2) (* (pow t 2) (pow x 2)))) (* 4 (/ 1 (pow x 2)))))
(.f64 (.f64 t t) (-.f64 (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) (/.f64 (.f64 l l) (.f64 t t))) (/.f64 #s(literal 4 binary64) (*.f64 x x))))
(* (pow t 2) (- (* -2 (/ (pow l 2) (* (pow t 2) (pow x 2)))) (* 4 (/ 1 (pow x 2)))))
(.f64 (.f64 t t) (-.f64 (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) (/.f64 (.f64 l l) (.f64 t t))) (/.f64 #s(literal 4 binary64) (*.f64 x x))))
(* (pow t 2) (- (* -2 (/ (pow l 2) (* (pow t 2) (pow x 2)))) (* 4 (/ 1 (pow x 2)))))
(.f64 (.f64 t t) (-.f64 (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) (/.f64 (.f64 l l) (.f64 t t))) (/.f64 #s(literal 4 binary64) (*.f64 x x))))
(* -4 (/ (pow t 2) (pow x 2)))
(/.f64 (.f64 #s(literal -4 binary64) (.f64 t t)) (*.f64 x x))
(* (pow t 2) (- (* -2 (/ (pow l 2) (* (pow t 2) (pow x 2)))) (* 4 (/ 1 (pow x 2)))))
(.f64 (.f64 t t) (-.f64 (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) (/.f64 (.f64 l l) (.f64 t t))) (/.f64 #s(literal 4 binary64) (*.f64 x x))))
(* (pow t 2) (- (* -2 (/ (pow l 2) (* (pow t 2) (pow x 2)))) (* 4 (/ 1 (pow x 2)))))
(.f64 (.f64 t t) (-.f64 (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) (/.f64 (.f64 l l) (.f64 t t))) (/.f64 #s(literal 4 binary64) (*.f64 x x))))
(* (pow t 2) (- (* -2 (/ (pow l 2) (* (pow t 2) (pow x 2)))) (* 4 (/ 1 (pow x 2)))))
(.f64 (.f64 t t) (-.f64 (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) (/.f64 (.f64 l l) (.f64 t t))) (/.f64 #s(literal 4 binary64) (*.f64 x x))))
(* -2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 2)))
(/.f64 (.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) #s(literal -2 binary64)) (*.f64 x x))
(* -2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 2)))
(/.f64 (.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) #s(literal -2 binary64)) (*.f64 x x))
(* -2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 2)))
(/.f64 (.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) #s(literal -2 binary64)) (*.f64 x x))
(* -2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 2)))
(/.f64 (.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) #s(literal -2 binary64)) (*.f64 x x))
(* -2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 2)))
(/.f64 (.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) #s(literal -2 binary64)) (*.f64 x x))
(* -2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 2)))
(/.f64 (.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) #s(literal -2 binary64)) (*.f64 x x))
(* -2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 2)))
(/.f64 (.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) #s(literal -2 binary64)) (*.f64 x x))
(* -2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 2)))
(/.f64 (.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) #s(literal -2 binary64)) (*.f64 x x))
(* -2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 2)))
(/.f64 (.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) #s(literal -2 binary64)) (*.f64 x x))
(* -2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 2)))
(/.f64 (.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) #s(literal -2 binary64)) (*.f64 x x))
(* -2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 2)))
(/.f64 (.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) #s(literal -2 binary64)) (*.f64 x x))
(* -2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 2)))
(/.f64 (.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) #s(literal -2 binary64)) (*.f64 x x))
(* 2 (/ (pow t 2) (pow x 3)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 x (.f64 x x)))
(+ (* 2 (/ (pow t 2) (pow x 3))) (/ (pow l 2) (pow x 3)))
(+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 x (.f64 x x))) (/.f64 (.f64 l l) (.f64 x (*.f64 x x))))
(+ (* 2 (/ (pow t 2) (pow x 3))) (/ (pow l 2) (pow x 3)))
(+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 x (.f64 x x))) (/.f64 (.f64 l l) (.f64 x (*.f64 x x))))
(+ (* 2 (/ (pow t 2) (pow x 3))) (/ (pow l 2) (pow x 3)))
(+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 x (.f64 x x))) (/.f64 (.f64 l l) (.f64 x (*.f64 x x))))
(/ (pow l 2) (pow x 3))
(/.f64 (.f64 l l) (.f64 x (*.f64 x x)))
(* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) (pow x 3)))) (/ 1 (pow x 3))))
(.f64 (.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 t t) (.f64 x (.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 l l)))))
(* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) (pow x 3)))) (/ 1 (pow x 3))))
(.f64 (.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 t t) (.f64 x (.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 l l)))))
(* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) (pow x 3)))) (/ 1 (pow x 3))))
(.f64 (.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 t t) (.f64 x (.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 l l)))))
(/ (pow l 2) (pow x 3))
(/.f64 (.f64 l l) (.f64 x (*.f64 x x)))
(* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) (pow x 3)))) (/ 1 (pow x 3))))
(.f64 (.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 t t) (.f64 x (.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 l l)))))
(* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) (pow x 3)))) (/ 1 (pow x 3))))
(.f64 (.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 t t) (.f64 x (.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 l l)))))
(* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) (pow x 3)))) (/ 1 (pow x 3))))
(.f64 (.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 t t) (.f64 x (.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 l l)))))
(/ (pow l 2) (pow x 3))
(/.f64 (.f64 l l) (.f64 x (*.f64 x x)))
(+ (* 2 (/ (pow t 2) (pow x 3))) (/ (pow l 2) (pow x 3)))
(+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 x (.f64 x x))) (/.f64 (.f64 l l) (.f64 x (*.f64 x x))))
(+ (* 2 (/ (pow t 2) (pow x 3))) (/ (pow l 2) (pow x 3)))
(+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 x (.f64 x x))) (/.f64 (.f64 l l) (.f64 x (*.f64 x x))))
(+ (* 2 (/ (pow t 2) (pow x 3))) (/ (pow l 2) (pow x 3)))
(+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 x (.f64 x x))) (/.f64 (.f64 l l) (.f64 x (*.f64 x x))))
(* 2 (/ (pow t 2) (pow x 3)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 x (.f64 x x)))
(* (pow t 2) (+ (* 2 (/ 1 (pow x 3))) (/ (pow l 2) (* (pow t 2) (pow x 3)))))
(.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 l (.f64 x (.f64 x x))) (/.f64 l (.f64 t t)))))
(* (pow t 2) (+ (* 2 (/ 1 (pow x 3))) (/ (pow l 2) (* (pow t 2) (pow x 3)))))
(.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 l (.f64 x (.f64 x x))) (/.f64 l (.f64 t t)))))
(* (pow t 2) (+ (* 2 (/ 1 (pow x 3))) (/ (pow l 2) (* (pow t 2) (pow x 3)))))
(.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 l (.f64 x (.f64 x x))) (/.f64 l (.f64 t t)))))
(* 2 (/ (pow t 2) (pow x 3)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 x (.f64 x x)))
(* (pow t 2) (+ (* 2 (/ 1 (pow x 3))) (/ (pow l 2) (* (pow t 2) (pow x 3)))))
(.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 l (.f64 x (.f64 x x))) (/.f64 l (.f64 t t)))))
(* (pow t 2) (+ (* 2 (/ 1 (pow x 3))) (/ (pow l 2) (* (pow t 2) (pow x 3)))))
(.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 l (.f64 x (.f64 x x))) (/.f64 l (.f64 t t)))))
(* (pow t 2) (+ (* 2 (/ 1 (pow x 3))) (/ (pow l 2) (* (pow t 2) (pow x 3)))))
(.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 l (.f64 x (.f64 x x))) (/.f64 l (.f64 t t)))))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 3))
(/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 x (*.f64 x x)))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 3))
(/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 x (*.f64 x x)))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 3))
(/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 x (*.f64 x x)))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 3))
(/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 x (*.f64 x x)))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 3))
(/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 x (*.f64 x x)))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 3))
(/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 x (*.f64 x x)))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 3))
(/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 x (*.f64 x x)))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 3))
(/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 x (*.f64 x x)))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 3))
(/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 x (*.f64 x x)))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 3))
(/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 x (*.f64 x x)))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 3))
(/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 x (*.f64 x x)))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 3))
(/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 x (*.f64 x x)))
(/ (pow t 2) (pow x 3))
(/.f64 (.f64 t t) (.f64 x (*.f64 x x)))
(/ (pow t 2) (pow x 3))
(/.f64 (.f64 t t) (.f64 x (*.f64 x x)))
(/ (pow t 2) (pow x 3))
(/.f64 (.f64 t t) (.f64 x (*.f64 x x)))
(/ (pow t 2) (pow x 3))
(/.f64 (.f64 t t) (.f64 x (*.f64 x x)))
(/ (pow t 2) (pow x 3))
(/.f64 (.f64 t t) (.f64 x (*.f64 x x)))
(/ (pow t 2) (pow x 3))
(/.f64 (.f64 t t) (.f64 x (*.f64 x x)))
(/ (pow t 2) (pow x 3))
(/.f64 (.f64 t t) (.f64 x (*.f64 x x)))
(/ (pow t 2) (pow x 3))
(/.f64 (.f64 t t) (.f64 x (*.f64 x x)))
(/ (pow t 2) (pow x 3))
(/.f64 (.f64 t t) (.f64 x (*.f64 x x)))
(/ (pow t 2) (pow x 3))
(/.f64 (.f64 t t) (.f64 x (*.f64 x x)))
(/ (pow t 2) (pow x 3))
(/.f64 (.f64 t t) (.f64 x (*.f64 x x)))
(/ (pow t 2) (pow x 3))
(/.f64 (.f64 t t) (.f64 x (*.f64 x x)))
(/ (pow t 2) (pow x 3))
(/.f64 (.f64 t t) (.f64 x (*.f64 x x)))
(/ (pow t 2) (pow x 3))
(/.f64 (.f64 t t) (.f64 x (*.f64 x x)))
(/ (pow t 2) (pow x 3))
(/.f64 (.f64 t t) (.f64 x (*.f64 x x)))
(/ (pow t 2) (pow x 3))
(/.f64 (.f64 t t) (.f64 x (*.f64 x x)))
(/ (pow t 2) (pow x 3))
(/.f64 (.f64 t t) (.f64 x (*.f64 x x)))
(/ (pow t 2) (pow x 3))
(/.f64 (.f64 t t) (.f64 x (*.f64 x x)))
(/ (pow t 2) (pow x 3))
(/.f64 (.f64 t t) (.f64 x (*.f64 x x)))
(/ (pow t 2) (pow x 3))
(/.f64 (.f64 t t) (.f64 x (*.f64 x x)))
(/ (pow t 2) (pow x 3))
(/.f64 (.f64 t t) (.f64 x (*.f64 x x)))
(/ (pow t 2) (pow x 3))
(/.f64 (.f64 t t) (.f64 x (*.f64 x x)))
(/ (pow t 2) (pow x 3))
(/.f64 (.f64 t t) (.f64 x (*.f64 x x)))
(/ (pow t 2) (pow x 3))
(/.f64 (.f64 t t) (.f64 x (*.f64 x x)))

eval241.0ms (1.5%)

Memory: 32.0MiB live, 532.1MiB allocated
Compiler: Compiled 116 106 to 6 187 computations (94.7% saved)

prune194.0ms (1.2%)

Memory

-23.6MiB live, 420.0MiB allocated

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	1 483	27	1 510
Fresh	9	3	12
Picked	4	1	5
Done	1	0	1
Total	1 497	31	1 528

Accuracy

99.6%

Counts

1 528 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.7%	(/.f64 (-.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #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)))))) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t (.f64 t t)))) (.f64 l (.f64 l (+.f64 x #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.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 (/.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 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))))) l)
	50.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (+.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 t x)) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 #s(literal 4 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))))))
	4.6%	(/.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))))))
	26.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 2 binary64) x))))))
	52.6%	(/.f64 (.f64 (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) t) (sqrt.f64 (+.f64 (/.f64 (.f64 t (.f64 t #s(literal 2 binary64))) x) (-.f64 (+.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) (.f64 x (.f64 x x))) (.f64 t t))) (+.f64 (/.f64 (.f64 l l) x) (/.f64 (.f64 l l) (.f64 x (.f64 x x))))) (-.f64 (-.f64 (/.f64 (.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) #s(literal -2 binary64)) (.f64 x x)) (/.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) (.f64 x (.f64 x x)))) (/.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) x))))))
	75.9%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
	74.9%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
	75.1%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x x)))))
	74.9%	(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 1 binary64)) x))
	74.5%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
▶	75.5%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 (.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)) t))
	75.6%	(.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)))))))
	39.9%	(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
	10.4%	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))) l))
	16.3%	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 x (+.f64 (.f64 l l) (.f64 l l)))))
	6.6%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 l (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) l) (+.f64 x #s(literal -1 binary64))) l))))) t)
	72.5%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
	75.6%	(.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))))))))
	10.4%	(.f64 t (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
	8.4%	(.f64 t (sqrt.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
▶	31.5%	(.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 t t)))))
	3.2%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (.f64 l l)))))
	4.8%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) #s(literal -1 binary64)) (.f64 l l)) (.f64 l l)))))
✓	36.3%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.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)))))
	54.8%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) x)) (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (+.f64 (.f64 l l) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))))) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (/.f64 (*.f64 l l) x))) x)))))
	55.0%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (+.f64 (.f64 l l) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))))) (/.f64 (+.f64 (-.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (/.f64 (.f64 l l) x)) (-.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) #s(literal -1 binary64)) (.f64 l l)) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))))) (/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) x)) x)) x)))))
	54.3%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t))) x))))))
	41.1%	(.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t t))))
▶	4.3%	(.f64 t (sqrt.f64 (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 x (-.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) #s(literal -1 binary64)) (.f64 l l)) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))))) (.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 l l)) (+.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 l l))))) (/.f64 #s(literal 2 binary64) (-.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) #s(literal -1 binary64)) (.f64 l l)) (*.f64 l l))))))
▶	75.9%	(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
▶	73.6%	#s(literal 1 binary64)

Compiler

Compiled 1 835 to 950 computations (48.2% saved)

simplify332.0ms (2%)

Memory

26.1MiB live, 589.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) t)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
✓	cost-diff	384	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 (.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)) t))
✓	cost-diff	256	(+.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 l l))
✓	cost-diff	384	(/.f64 (.f64 #s(literal -2 binary64) (.f64 x (-.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) #s(literal -1 binary64)) (.f64 l l)) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))))) (.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 l l)) (+.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (*.f64 l l)))))
✓	cost-diff	512	(-.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) #s(literal -1 binary64)) (.f64 l l)) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t))))
✓	cost-diff	512	(+.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 x (-.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) #s(literal -1 binary64)) (.f64 l l)) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))))) (.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 l l)) (+.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 l l))))) (/.f64 #s(literal 2 binary64) (-.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) #s(literal -1 binary64)) (.f64 l l)) (.f64 l l))))
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 t t)))
✓	cost-diff	0	(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 t t))))
✓	cost-diff	0	(.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 t t)))))
✓	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

12 436×	`accelerator-lowering-fma.f32`
12 436×	`accelerator-lowering-fma.f64`
4 412×	`-lowering-.f32`
4 412×	`-lowering-.f64`
1 800×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	644
1	107	566
2	342	487
3	1019	436
4	4368	403
0	8154	373

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

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

localize154.0ms (1%)

Memory

-25.2MiB live, 291.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
✓	accuracy	99.7%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 (.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)) t))
✓	accuracy	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.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	97.7%	(.f64 x (-.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) #s(literal -1 binary64)) (.f64 l l)) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))))
✓	accuracy	97.2%	(+.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 x (-.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) #s(literal -1 binary64)) (.f64 l l)) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))))) (.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 l l)) (+.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 l l))))) (/.f64 #s(literal 2 binary64) (-.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) #s(literal -1 binary64)) (.f64 l l)) (.f64 l l))))
✓	accuracy	79.0%	(sqrt.f64 (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 x (-.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) #s(literal -1 binary64)) (.f64 l l)) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))))) (.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 l l)) (+.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 l l))))) (/.f64 #s(literal 2 binary64) (-.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) #s(literal -1 binary64)) (.f64 l l)) (.f64 l l)))))
✓	accuracy	54.0%	(/.f64 (.f64 #s(literal -2 binary64) (.f64 x (-.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) #s(literal -1 binary64)) (.f64 l l)) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))))) (.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 l l)) (+.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (*.f64 l l)))))
✓	accuracy	99.9%	(.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 t t)))))
✓	accuracy	93.8%	(.f64 (+.f64 x #s(literal 1 binary64)) (.f64 t t))
✓	accuracy	93.4%	(/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 t t)))
✓	accuracy	72.1%	(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 t t))))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(+.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%	(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))

Samples

47.0ms	163×	0	valid
29.0ms	93×	0	invalid

Compiler

Compiled 656 to 44 computations (93.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 20.0ms (38.3% of total)

ival-div: 12.0ms (23% of total)

ival-add: 8.0ms (15.3% of total)

ival-sqrt: 8.0ms (15.3% of total)

ival-sub: 3.0ms (5.7% of total)

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

exact: 0.0ms (0% of total)

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

series75.0ms (0.5%)

Memory

24.6MiB live, 139.3MiB allocated

Counts

19 → 420

Calls

Call 1

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

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 (/ (- 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 (* -1 (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (* -1 (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (* -1 (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (* -1 (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 (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 (/ (sqrt -1) t)>
#<alt (+ (/ x (* t (sqrt -1))) (/ (sqrt -1) t))>
#<alt (+ (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* t (sqrt -1)))) (/ 1 (* t (sqrt -1))))) (/ (sqrt -1) t))>
#<alt (+ (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* t (sqrt -1)))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (* t (sqrt -1)))))) (/ 1 (* t (sqrt -1))))) (/ (sqrt -1) t))>
#<alt (/ 1 t)>
#<alt (- (/ 1 t) (/ 1 (* t x)))>
#<alt (- (+ (/ 1/2 (* t (pow x 2))) (/ 1 t)) (/ 1 (* t x)))>
#<alt (- (+ (/ 1 t) (* 1/2 (/ 1 (* t (pow x 2))))) (+ (/ 1 (* t x)) (* 1/2 (/ 1 (* t (pow x 3))))))>
#<alt (/ (pow (sqrt -1) 2) t)>
#<alt (+ (/ 1 (* t x)) (/ (pow (sqrt -1) 2) t))>
#<alt (+ (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* t x))) (/ 1 t)) x)) (/ (pow (sqrt -1) 2) t))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) t)) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* t x)))) x)) (/ 1 t)) x)) (/ (pow (sqrt -1) 2) t))>
#<alt (* (/ 1 t) (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (* (/ 1 t) (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (* (/ 1 t) (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (* (/ 1 t) (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (* (/ 1 t) (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (* (/ 1 t) (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (* (/ 1 t) (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (* (/ 1 t) (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (* -1 (* (/ 1 t) (sqrt (/ (- x 1) (+ 1 x)))))>
#<alt (* -1 (* (/ 1 t) (sqrt (/ (- x 1) (+ 1 x)))))>
#<alt (* -1 (* (/ 1 t) (sqrt (/ (- x 1) (+ 1 x)))))>
#<alt (* -1 (* (/ 1 t) (sqrt (/ (- x 1) (+ 1 x)))))>
#<alt (/ -1 (pow t 2))>
#<alt (- (* 2 (/ x (pow t 2))) (/ 1 (pow t 2)))>
#<alt (- (* x (+ (* -2 (/ x (pow t 2))) (* 2 (/ 1 (pow t 2))))) (/ 1 (pow t 2)))>
#<alt (- (* x (+ (* x (- (* 2 (/ x (pow t 2))) (* 2 (/ 1 (pow t 2))))) (* 2 (/ 1 (pow t 2))))) (/ 1 (pow t 2)))>
#<alt (/ 1 (pow t 2))>
#<alt (- (/ 1 (pow t 2)) (* 2 (/ 1 (* (pow t 2) x))))>
#<alt (- (+ (/ 1 (pow t 2)) (/ 2 (* (pow t 2) (pow x 2)))) (/ 2 (* (pow t 2) x)))>
#<alt (- (+ (* 2 (/ 1 (* (pow t 2) (pow x 2)))) (/ 1 (pow t 2))) (+ (* 2 (/ 1 (* (pow t 2) (pow x 3)))) (/ 2 (* (pow t 2) x))))>
#<alt (/ 1 (pow t 2))>
#<alt (- (/ 1 (pow t 2)) (* 2 (/ 1 (* (pow t 2) x))))>
#<alt (+ (* -1 (/ (- (* 2 (/ 1 (pow t 2))) (* 2 (/ 1 (* (pow t 2) x)))) x)) (/ 1 (pow t 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 2 (/ 1 (pow t 2))) (* 2 (/ 1 (* (pow t 2) x)))) x)) (* 2 (/ 1 (pow t 2)))) x)) (/ 1 (pow t 2)))>
#<alt (/ (- x 1) (* (pow t 2) (+ 1 x)))>
#<alt (/ (- x 1) (* (pow t 2) (+ 1 x)))>
#<alt (/ (- x 1) (* (pow t 2) (+ 1 x)))>
#<alt (/ (- x 1) (* (pow t 2) (+ 1 x)))>
#<alt (/ (- x 1) (* (pow t 2) (+ 1 x)))>
#<alt (/ (- x 1) (* (pow t 2) (+ 1 x)))>
#<alt (/ (- x 1) (* (pow t 2) (+ 1 x)))>
#<alt (/ (- x 1) (* (pow t 2) (+ 1 x)))>
#<alt (/ (- x 1) (* (pow t 2) (+ 1 x)))>
#<alt (/ (- x 1) (* (pow t 2) (+ 1 x)))>
#<alt (/ (- x 1) (* (pow t 2) (+ 1 x)))>
#<alt (/ (- x 1) (* (pow t 2) (+ 1 x)))>
#<alt (/ 2 (- (* -2 (pow t 2)) (* 2 (pow l 2))))>
#<alt (+ (* -2 (/ (* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2))))) (pow (+ (* 2 (pow l 2)) (* 2 (pow t 2))) 2))) (* 2 (/ 1 (- (* -2 (pow t 2)) (* 2 (pow l 2))))))>
#<alt (+ (* -2 (/ (* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2))))) (pow (+ (* 2 (pow l 2)) (* 2 (pow t 2))) 2))) (* 2 (/ 1 (- (* -2 (pow t 2)) (* 2 (pow l 2))))))>
#<alt (+ (* -2 (/ (* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2))))) (pow (+ (* 2 (pow l 2)) (* 2 (pow t 2))) 2))) (* 2 (/ 1 (- (* -2 (pow t 2)) (* 2 (pow l 2))))))>
#<alt (* -2 (/ (* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2))))) (pow (+ (* 2 (pow l 2)) (* 2 (pow t 2))) 2)))>
#<alt (* x (+ (* -2 (/ (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))) (pow (+ (* 2 (pow l 2)) (* 2 (pow t 2))) 2))) (* 2 (/ 1 (* x (- (* -2 (pow t 2)) (* 2 (pow l 2))))))))>
#<alt (* x (+ (* -2 (/ (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))) (pow (+ (* 2 (pow l 2)) (* 2 (pow t 2))) 2))) (* 2 (/ 1 (* x (- (* -2 (pow t 2)) (* 2 (pow l 2))))))))>
#<alt (* x (+ (* -2 (/ (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))) (pow (+ (* 2 (pow l 2)) (* 2 (pow t 2))) 2))) (* 2 (/ 1 (* x (- (* -2 (pow t 2)) (* 2 (pow l 2))))))))>
#<alt (* -2 (/ (* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2))))) (pow (+ (* 2 (pow l 2)) (* 2 (pow t 2))) 2)))>
#<alt (* -1 (* x (- (* 2 (/ (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))) (pow (+ (* 2 (pow l 2)) (* 2 (pow t 2))) 2))) (* 2 (/ 1 (* x (- (* -2 (pow t 2)) (* 2 (pow l 2)))))))))>
#<alt (* -1 (* x (- (* 2 (/ (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))) (pow (+ (* 2 (pow l 2)) (* 2 (pow t 2))) 2))) (* 2 (/ 1 (* x (- (* -2 (pow t 2)) (* 2 (pow l 2)))))))))>
#<alt (* -1 (* x (- (* 2 (/ (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))) (pow (+ (* 2 (pow l 2)) (* 2 (pow t 2))) 2))) (* 2 (/ 1 (* x (- (* -2 (pow t 2)) (* 2 (pow l 2)))))))))>
#<alt (- (/ x (pow l 2)) (/ 1 (pow l 2)))>
#<alt (- (+ (/ x (pow l 2)) (/ (pow t 2) (pow l 4))) (/ 1 (pow l 2)))>
#<alt (- (+ (* (pow t 2) (+ (* (pow t 2) (- (* -1 (/ x (pow l 6))) (/ 1 (pow l 6)))) (/ 1 (pow l 4)))) (/ x (pow l 2))) (/ 1 (pow l 2)))>
#<alt (- (+ (* (pow t 2) (+ (* (pow t 2) (- (+ (* -1 (/ x (pow l 6))) (* (pow t 2) (+ (* 2 (/ x (pow l 8))) (/ 1 (pow l 8))))) (/ 1 (pow l 6)))) (/ 1 (pow l 4)))) (/ x (pow l 2))) (/ 1 (pow l 2)))>
#<alt (/ (- (* 2 x) 1) (pow t 2))>
#<alt (/ (- (+ (* 2 x) (* 2 (/ (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x))) (pow t 2)))) (+ 1 (* -1 (/ (pow l 2) (pow t 2))))) (pow t 2))>
#<alt (/ (- (+ (* -2 (/ (+ (* 2 (* (pow l 2) (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x))))) (* (pow l 4) x)) (pow t 4))) (+ (* 2 x) (* 2 (/ (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x))) (pow t 2))))) (+ 1 (+ (* -1 (/ (pow l 2) (pow t 2))) (/ (pow l 4) (pow t 4))))) (pow t 2))>
#<alt (/ (- (+ (* -2 (/ (+ (* -2 (* (pow l 2) (+ (* 2 (* (pow l 2) (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x))))) (* (pow l 4) x)))) (* (pow l 4) (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x))))) (pow t 6))) (+ (* -2 (/ (+ (* 2 (* (pow l 2) (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x))))) (* (pow l 4) x)) (pow t 4))) (+ (* 2 x) (* 2 (/ (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x))) (pow t 2)))))) (+ 1 (+ (* -1 (/ (pow l 2) (pow t 2))) (+ (* -1 (/ (pow l 6) (pow t 6))) (/ (pow l 4) (pow t 4)))))) (pow t 2))>
#<alt (/ (- (* 2 x) 1) (pow t 2))>
#<alt (/ (- (+ (* 2 x) (* 2 (/ (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x))) (pow t 2)))) (+ 1 (* -1 (/ (pow l 2) (pow t 2))))) (pow t 2))>
#<alt (/ (- (+ (* -2 (/ (+ (* 2 (* (pow l 2) (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x))))) (* (pow l 4) x)) (pow t 4))) (+ (* 2 x) (* 2 (/ (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x))) (pow t 2))))) (+ 1 (+ (* -1 (/ (pow l 2) (pow t 2))) (/ (pow l 4) (pow t 4))))) (pow t 2))>
#<alt (/ (- (+ (* -2 (/ (+ (* -2 (* (pow l 2) (+ (* 2 (* (pow l 2) (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x))))) (* (pow l 4) x)))) (* (pow l 4) (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x))))) (pow t 6))) (+ (* -2 (/ (+ (* 2 (* (pow l 2) (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x))))) (* (pow l 4) x)) (pow t 4))) (+ (* 2 x) (* 2 (/ (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x))) (pow t 2)))))) (+ 1 (+ (* -1 (/ (pow l 2) (pow t 2))) (+ (* -1 (/ (pow l 6) (pow t 6))) (/ (pow l 4) (pow t 4)))))) (pow t 2))>
#<alt (- (* -1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 4))) (/ 1 (pow t 2)))>
#<alt (- (+ (* -1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 4))) (* (pow l 2) (+ (* -2 (- (* -1/2 (/ x (pow t 4))) (* 1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 6))))) (/ 1 (pow t 4))))) (/ 1 (pow t 2)))>
#<alt (- (+ (* -1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 4))) (* (pow l 2) (+ (* -2 (- (* -1/2 (/ x (pow t 4))) (* 1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 6))))) (+ (* (pow l 2) (- (* 2 (+ (* 1/4 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 8))) (* 2 (/ (- (* -1/2 (/ x (pow t 4))) (* 1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 6)))) (pow t 2))))) (/ 1 (pow t 6)))) (/ 1 (pow t 4)))))) (/ 1 (pow t 2)))>
#<alt (- (+ (* -1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 4))) (* (pow l 2) (+ (* -2 (- (* -1/2 (/ x (pow t 4))) (* 1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 6))))) (+ (* (pow l 2) (- (+ (* 2 (+ (* 1/4 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 8))) (* 2 (/ (- (* -1/2 (/ x (pow t 4))) (* 1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 6)))) (pow t 2))))) (* (pow l 2) (+ (* -2 (- (* 1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 10))) (+ (* -2 (/ (+ (* 1/4 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 8))) (* 2 (/ (- (* -1/2 (/ x (pow t 4))) (* 1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 6)))) (pow t 2)))) (pow t 2))) (* -1/2 (/ x (pow t 8)))))) (/ 1 (pow t 8))))) (/ 1 (pow t 6)))) (/ 1 (pow t 4)))))) (/ 1 (pow t 2)))>
#<alt (/ (- x 1) (pow l 2))>
#<alt (/ (- (+ x (+ (* -2 (/ (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x))) (pow l 2))) (/ (pow t 2) (pow l 2)))) 1) (pow l 2))>
#<alt (/ (- (+ x (+ (* -2 (/ (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x))) (pow l 2))) (+ (* -1 (/ (pow t 4) (pow l 4))) (+ (* 2 (/ (+ (* -1/2 (* (pow t 4) x)) (* 2 (* (pow t 2) (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))))) (pow l 4))) (/ (pow t 2) (pow l 2)))))) 1) (pow l 2))>
#<alt (/ (- (+ x (+ (* -2 (/ (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x))) (pow l 2))) (+ (* -1 (/ (pow t 4) (pow l 4))) (+ (* 2 (/ (+ (* -2 (* (pow t 2) (+ (* -1/2 (* (pow t 4) x)) (* 2 (* (pow t 2) (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))))))) (* (pow t 4) (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x))))) (pow l 6))) (+ (* 2 (/ (+ (* -1/2 (* (pow t 4) x)) (* 2 (* (pow t 2) (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))))) (pow l 4))) (+ (/ (pow t 2) (pow l 2)) (/ (pow t 6) (pow l 6)))))))) 1) (pow l 2))>
#<alt (/ (- x 1) (pow l 2))>
#<alt (/ (- (+ x (+ (* -2 (/ (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x))) (pow l 2))) (/ (pow t 2) (pow l 2)))) 1) (pow l 2))>
#<alt (/ (- (+ x (+ (* -2 (/ (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x))) (pow l 2))) (+ (* -1 (/ (pow t 4) (pow l 4))) (+ (* 2 (/ (+ (* -1/2 (* (pow t 4) x)) (* 2 (* (pow t 2) (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))))) (pow l 4))) (/ (pow t 2) (pow l 2)))))) 1) (pow l 2))>
#<alt (/ (- (+ x (+ (* -2 (/ (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x))) (pow l 2))) (+ (* -1 (/ (pow t 4) (pow l 4))) (+ (* 2 (/ (+ (* -2 (* (pow t 2) (+ (* -1/2 (* (pow t 4) x)) (* 2 (* (pow t 2) (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))))))) (* (pow t 4) (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x))))) (pow l 6))) (+ (* 2 (/ (+ (* -1/2 (* (pow t 4) x)) (* 2 (* (pow t 2) (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))))) (pow l 4))) (+ (/ (pow t 2) (pow l 2)) (/ (pow t 6) (pow l 6)))))))) 1) (pow l 2))>
#<alt (* -2 (pow l 2))>
#<alt (- (* -4 (pow t 2)) (* 2 (pow l 2)))>
#<alt (- (* -4 (pow t 2)) (* 2 (pow l 2)))>
#<alt (- (* -4 (pow t 2)) (* 2 (pow l 2)))>
#<alt (* -4 (pow t 2))>
#<alt (* (pow t 2) (- (* -2 (/ (pow l 2) (pow t 2))) 4))>
#<alt (* (pow t 2) (- (* -2 (/ (pow l 2) (pow t 2))) 4))>
#<alt (* (pow t 2) (- (* -2 (/ (pow l 2) (pow t 2))) 4))>
#<alt (* -4 (pow t 2))>
#<alt (* (pow t 2) (- (* -2 (/ (pow l 2) (pow t 2))) 4))>
#<alt (* (pow t 2) (- (* -2 (/ (pow l 2) (pow t 2))) 4))>
#<alt (* (pow t 2) (- (* -2 (/ (pow l 2) (pow t 2))) 4))>
#<alt (- (* -2 (pow t 2)) (* 2 (pow t 2)))>
#<alt (- (+ (* -2 (pow l 2)) (* -2 (pow t 2))) (* 2 (pow t 2)))>
#<alt (- (+ (* -2 (pow l 2)) (* -2 (pow t 2))) (* 2 (pow t 2)))>
#<alt (- (+ (* -2 (pow l 2)) (* -2 (pow t 2))) (* 2 (pow t 2)))>
#<alt (* -2 (pow l 2))>
#<alt (* (pow l 2) (- (* -2 (/ (pow t 2) (pow l 2))) (+ 2 (* 2 (/ (pow t 2) (pow l 2))))))>
#<alt (* (pow l 2) (- (* -2 (/ (pow t 2) (pow l 2))) (+ 2 (* 2 (/ (pow t 2) (pow l 2))))))>
#<alt (* (pow l 2) (- (* -2 (/ (pow t 2) (pow l 2))) (+ 2 (* 2 (/ (pow t 2) (pow l 2))))))>
#<alt (* -2 (pow l 2))>
#<alt (* (pow l 2) (- (* -2 (/ (pow t 2) (pow l 2))) (+ 2 (* 2 (/ (pow t 2) (pow l 2))))))>
#<alt (* (pow l 2) (- (* -2 (/ (pow t 2) (pow l 2))) (+ 2 (* 2 (/ (pow t 2) (pow l 2))))))>
#<alt (* (pow l 2) (- (* -2 (/ (pow t 2) (pow l 2))) (+ 2 (* 2 (/ (pow t 2) (pow l 2))))))>
#<alt (* -2 (/ (* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2))))) (pow (+ (* 2 (pow l 2)) (* 2 (pow t 2))) 2)))>
#<alt (* -2 (/ (* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2))))) (pow (+ (* 2 (pow l 2)) (* 2 (pow t 2))) 2)))>
#<alt (* -2 (/ (* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2))))) (pow (+ (* 2 (pow l 2)) (* 2 (pow t 2))) 2)))>
#<alt (* -2 (/ (* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2))))) (pow (+ (* 2 (pow l 2)) (* 2 (pow t 2))) 2)))>
#<alt (* -2 (/ (* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2))))) (pow (+ (* 2 (pow l 2)) (* 2 (pow t 2))) 2)))>
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#<alt (* -1 (* x (+ (* (sqrt (/ 1 (* (pow x 3) (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2))))))) (/ (* (sqrt -1) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))) (* (sqrt 2) (- (* -2 (pow t 2)) (* 2 (pow l 2)))))) (* (sqrt (/ (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))) x)) (/ (* (sqrt -1) (sqrt 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2))))))))>
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#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 5) (pow (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))) 3)))) (/ (* (sqrt -1) (pow (+ (* 2 (pow l 2)) (* 2 (pow t 2))) 3)) (* (pow (sqrt 2) 3) (pow (- (* -2 (pow t 2)) (* 2 (pow l 2))) 2))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 7) (pow (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))) 5)))) (/ (* (sqrt -1) (pow (+ (* 2 (pow l 2)) (* 2 (pow t 2))) 5)) (* (pow (sqrt 2) 5) (pow (- (* -2 (pow t 2)) (* 2 (pow l 2))) 3))))) (+ (* (sqrt (/ 1 (* (pow x 3) (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2))))))) (/ (* (sqrt -1) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))) (* (sqrt 2) (- (* -2 (pow t 2)) (* 2 (pow l 2)))))) (* (sqrt (/ (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))) x)) (/ (* (sqrt -1) (sqrt 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2))))))))))>
#<alt (sqrt (- (/ x (pow l 2)) (/ 1 (pow l 2))))>
#<alt (+ (sqrt (- (/ x (pow l 2)) (/ 1 (pow l 2)))) (* 1/2 (* (/ (pow t 2) (pow l 4)) (sqrt (/ 1 (- (/ x (pow l 2)) (/ 1 (pow l 2))))))))>
#<alt (+ (sqrt (- (/ x (pow l 2)) (/ 1 (pow l 2)))) (* (pow t 2) (+ (* 1/2 (* (* (pow t 2) (- (* -1 (/ x (pow l 6))) (+ (* 1/4 (/ 1 (* (pow l 8) (- (/ x (pow l 2)) (/ 1 (pow l 2)))))) (/ 1 (pow l 6))))) (sqrt (/ 1 (- (/ x (pow l 2)) (/ 1 (pow l 2))))))) (* 1/2 (* (/ 1 (pow l 4)) (sqrt (/ 1 (- (/ x (pow l 2)) (/ 1 (pow l 2))))))))))>
#<alt (+ (sqrt (- (/ x (pow l 2)) (/ 1 (pow l 2)))) (* (pow t 2) (+ (* 1/2 (* (/ 1 (pow l 4)) (sqrt (/ 1 (- (/ x (pow l 2)) (/ 1 (pow l 2))))))) (* (pow t 2) (+ (* 1/2 (* (* (pow t 2) (- (+ (* 2 (/ x (pow l 8))) (/ 1 (pow l 8))) (* 1/2 (/ (- (* -1 (/ x (pow l 6))) (+ (* 1/4 (/ 1 (* (pow l 8) (- (/ x (pow l 2)) (/ 1 (pow l 2)))))) (/ 1 (pow l 6)))) (* (pow l 4) (- (/ x (pow l 2)) (/ 1 (pow l 2)))))))) (sqrt (/ 1 (- (/ x (pow l 2)) (/ 1 (pow l 2))))))) (* 1/2 (* (- (* -1 (/ x (pow l 6))) (+ (* 1/4 (/ 1 (* (pow l 8) (- (/ x (pow l 2)) (/ 1 (pow l 2)))))) (/ 1 (pow l 6)))) (sqrt (/ 1 (- (/ x (pow l 2)) (/ 1 (pow l 2))))))))))))>
#<alt (* (/ 1 t) (sqrt (- (* 2 x) 1)))>
#<alt (/ (+ (sqrt (- (* 2 x) 1)) (* 1/2 (* (/ (- (* 2 (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x)))) (* -1 (pow l 2))) (pow t 2)) (sqrt (/ 1 (- (* 2 x) 1)))))) t)>
#<alt (/ (+ (sqrt (- (* 2 x) 1)) (+ (* 1/2 (* (/ (- (* -2 (+ (* 2 (* (pow l 2) (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x))))) (* (pow l 4) x))) (+ (* 1/4 (/ (pow (- (* 2 (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x)))) (* -1 (pow l 2))) 2) (- (* 2 x) 1))) (pow l 4))) (pow t 4)) (sqrt (/ 1 (- (* 2 x) 1))))) (* 1/2 (* (/ (- (* 2 (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x)))) (* -1 (pow l 2))) (pow t 2)) (sqrt (/ 1 (- (* 2 x) 1))))))) t)>
#<alt (/ (+ (sqrt (- (* 2 x) 1)) (+ (* 1/2 (* (/ (- (* -2 (+ (* -2 (* (pow l 2) (+ (* 2 (* (pow l 2) (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x))))) (* (pow l 4) x)))) (* (pow l 4) (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x)))))) (+ (* -1 (pow l 6)) (* 1/2 (/ (* (- (* -2 (+ (* 2 (* (pow l 2) (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x))))) (* (pow l 4) x))) (+ (* 1/4 (/ (pow (- (* 2 (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x)))) (* -1 (pow l 2))) 2) (- (* 2 x) 1))) (pow l 4))) (- (* 2 (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x)))) (* -1 (pow l 2)))) (- (* 2 x) 1))))) (pow t 6)) (sqrt (/ 1 (- (* 2 x) 1))))) (+ (* 1/2 (* (/ (- (* -2 (+ (* 2 (* (pow l 2) (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x))))) (* (pow l 4) x))) (+ (* 1/4 (/ (pow (- (* 2 (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x)))) (* -1 (pow l 2))) 2) (- (* 2 x) 1))) (pow l 4))) (pow t 4)) (sqrt (/ 1 (- (* 2 x) 1))))) (* 1/2 (* (/ (- (* 2 (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x)))) (* -1 (pow l 2))) (pow t 2)) (sqrt (/ 1 (- (* 2 x) 1)))))))) t)>
#<alt (* -1 (* (/ 1 t) (sqrt (- (* 2 x) 1))))>
#<alt (* -1 (/ (+ (sqrt (- (* 2 x) 1)) (* 1/2 (* (/ (- (* 2 (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x)))) (* -1 (pow l 2))) (pow t 2)) (sqrt (/ 1 (- (* 2 x) 1)))))) t))>
#<alt (* -1 (/ (+ (sqrt (- (* 2 x) 1)) (+ (* 1/2 (* (/ (- (* -2 (+ (* 2 (* (pow l 2) (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x))))) (* (pow l 4) x))) (+ (* 1/4 (/ (pow (- (* 2 (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x)))) (* -1 (pow l 2))) 2) (- (* 2 x) 1))) (pow l 4))) (pow t 4)) (sqrt (/ 1 (- (* 2 x) 1))))) (* 1/2 (* (/ (- (* 2 (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x)))) (* -1 (pow l 2))) (pow t 2)) (sqrt (/ 1 (- (* 2 x) 1))))))) t))>
#<alt (* -1 (/ (+ (sqrt (- (* 2 x) 1)) (+ (* 1/2 (* (/ (- (* -2 (+ (* -2 (* (pow l 2) (+ (* 2 (* (pow l 2) (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x))))) (* (pow l 4) x)))) (* (pow l 4) (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x)))))) (+ (* -1 (pow l 6)) (* 1/2 (/ (* (- (* -2 (+ (* 2 (* (pow l 2) (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x))))) (* (pow l 4) x))) (+ (* 1/4 (/ (pow (- (* 2 (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x)))) (* -1 (pow l 2))) 2) (- (* 2 x) 1))) (pow l 4))) (- (* 2 (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x)))) (* -1 (pow l 2)))) (- (* 2 x) 1))))) (pow t 6)) (sqrt (/ 1 (- (* 2 x) 1))))) (+ (* 1/2 (* (/ (- (* -2 (+ (* 2 (* (pow l 2) (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x))))) (* (pow l 4) x))) (+ (* 1/4 (/ (pow (- (* 2 (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x)))) (* -1 (pow l 2))) 2) (- (* 2 x) 1))) (pow l 4))) (pow t 4)) (sqrt (/ 1 (- (* 2 x) 1))))) (* 1/2 (* (/ (- (* 2 (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x)))) (* -1 (pow l 2))) (pow t 2)) (sqrt (/ 1 (- (* 2 x) 1)))))))) t))>
#<alt (sqrt (- (* -1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 4))) (/ 1 (pow t 2))))>
#<alt (+ (sqrt (- (* -1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 4))) (/ 1 (pow t 2)))) (* 1/2 (* (* (pow l 2) (+ (* -2 (- (* -1/2 (/ x (pow t 4))) (* 1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 6))))) (/ 1 (pow t 4)))) (sqrt (/ 1 (- (* -1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 4))) (/ 1 (pow t 2))))))))>
#<alt (+ (sqrt (- (* -1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 4))) (/ 1 (pow t 2)))) (* (pow l 2) (+ (* 1/2 (* (* (pow l 2) (- (* 2 (+ (* 1/4 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 8))) (* 2 (/ (- (* -1/2 (/ x (pow t 4))) (* 1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 6)))) (pow t 2))))) (+ (* 1/4 (/ (pow (+ (* -2 (- (* -1/2 (/ x (pow t 4))) (* 1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 6))))) (/ 1 (pow t 4))) 2) (- (* -1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 4))) (/ 1 (pow t 2))))) (/ 1 (pow t 6))))) (sqrt (/ 1 (- (* -1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 4))) (/ 1 (pow t 2))))))) (* 1/2 (* (+ (* -2 (- (* -1/2 (/ x (pow t 4))) (* 1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 6))))) (/ 1 (pow t 4))) (sqrt (/ 1 (- (* -1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 4))) (/ 1 (pow t 2))))))))))>
#<alt (+ (sqrt (- (* -1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 4))) (/ 1 (pow t 2)))) (* (pow l 2) (+ (* 1/2 (* (+ (* -2 (- (* -1/2 (/ x (pow t 4))) (* 1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 6))))) (/ 1 (pow t 4))) (sqrt (/ 1 (- (* -1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 4))) (/ 1 (pow t 2))))))) (* (pow l 2) (+ (* 1/2 (* (sqrt (/ 1 (- (* -1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 4))) (/ 1 (pow t 2))))) (- (* 2 (+ (* 1/4 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 8))) (* 2 (/ (- (* -1/2 (/ x (pow t 4))) (* 1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 6)))) (pow t 2))))) (+ (* 1/4 (/ (pow (+ (* -2 (- (* -1/2 (/ x (pow t 4))) (* 1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 6))))) (/ 1 (pow t 4))) 2) (- (* -1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 4))) (/ 1 (pow t 2))))) (/ 1 (pow t 6)))))) (* 1/2 (* (* (pow l 2) (- (+ (* -2 (- (* 1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 10))) (+ (* -2 (/ (+ (* 1/4 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 8))) (* 2 (/ (- (* -1/2 (/ x (pow t 4))) (* 1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 6)))) (pow t 2)))) (pow t 2))) (* -1/2 (/ x (pow t 8)))))) (/ 1 (pow t 8))) (* 1/2 (/ (* (+ (* -2 (- (* -1/2 (/ x (pow t 4))) (* 1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 6))))) (/ 1 (pow t 4))) (- (* 2 (+ (* 1/4 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 8))) (* 2 (/ (- (* -1/2 (/ x (pow t 4))) (* 1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 6)))) (pow t 2))))) (+ (* 1/4 (/ (pow (+ (* -2 (- (* -1/2 (/ x (pow t 4))) (* 1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 6))))) (/ 1 (pow t 4))) 2) (- (* -1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 4))) (/ 1 (pow t 2))))) (/ 1 (pow t 6))))) (- (* -1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 4))) (/ 1 (pow t 2))))))) (sqrt (/ 1 (- (* -1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 4))) (/ 1 (pow t 2))))))))))))>
#<alt (* (/ 1 l) (sqrt (- x 1)))>
#<alt (/ (+ (sqrt (- x 1)) (* 1/2 (* (/ (+ (* -2 (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))) (pow t 2)) (pow l 2)) (sqrt (/ 1 (- x 1)))))) l)>
#<alt (/ (+ (sqrt (- x 1)) (+ (* 1/2 (* (/ (+ (* -2 (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))) (pow t 2)) (pow l 2)) (sqrt (/ 1 (- x 1))))) (* 1/2 (* (/ (- (+ (* -1 (pow t 4)) (* 2 (+ (* -1/2 (* (pow t 4) x)) (* 2 (* (pow t 2) (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))))))) (* 1/4 (/ (pow (+ (* -2 (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))) (pow t 2)) 2) (- x 1)))) (pow l 4)) (sqrt (/ 1 (- x 1))))))) l)>
#<alt (/ (+ (sqrt (- x 1)) (+ (* 1/2 (* (/ (+ (* -2 (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))) (pow t 2)) (pow l 2)) (sqrt (/ 1 (- x 1))))) (+ (* 1/2 (* (/ (- (+ (* -1 (pow t 4)) (* 2 (+ (* -1/2 (* (pow t 4) x)) (* 2 (* (pow t 2) (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))))))) (* 1/4 (/ (pow (+ (* -2 (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))) (pow t 2)) 2) (- x 1)))) (pow l 4)) (sqrt (/ 1 (- x 1))))) (* 1/2 (* (/ (- (+ (* 2 (+ (* -2 (* (pow t 2) (+ (* -1/2 (* (pow t 4) x)) (* 2 (* (pow t 2) (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))))))) (* (pow t 4) (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))))) (pow t 6)) (* 1/2 (/ (* (+ (* -2 (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))) (pow t 2)) (- (+ (* -1 (pow t 4)) (* 2 (+ (* -1/2 (* (pow t 4) x)) (* 2 (* (pow t 2) (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))))))) (* 1/4 (/ (pow (+ (* -2 (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))) (pow t 2)) 2) (- x 1))))) (- x 1)))) (pow l 6)) (sqrt (/ 1 (- x 1)))))))) l)>
#<alt (* -1 (* (/ 1 l) (sqrt (- x 1))))>
#<alt (* -1 (/ (+ (sqrt (- x 1)) (* 1/2 (* (/ (+ (* -2 (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))) (pow t 2)) (pow l 2)) (sqrt (/ 1 (- x 1)))))) l))>
#<alt (* -1 (/ (+ (sqrt (- x 1)) (+ (* 1/2 (* (/ (+ (* -2 (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))) (pow t 2)) (pow l 2)) (sqrt (/ 1 (- x 1))))) (* 1/2 (* (/ (- (+ (* -1 (pow t 4)) (* 2 (+ (* -1/2 (* (pow t 4) x)) (* 2 (* (pow t 2) (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))))))) (* 1/4 (/ (pow (+ (* -2 (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))) (pow t 2)) 2) (- x 1)))) (pow l 4)) (sqrt (/ 1 (- x 1))))))) l))>
#<alt (* -1 (/ (+ (sqrt (- x 1)) (+ (* 1/2 (* (/ (+ (* -2 (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))) (pow t 2)) (pow l 2)) (sqrt (/ 1 (- x 1))))) (+ (* 1/2 (* (/ (- (+ (* -1 (pow t 4)) (* 2 (+ (* -1/2 (* (pow t 4) x)) (* 2 (* (pow t 2) (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))))))) (* 1/4 (/ (pow (+ (* -2 (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))) (pow t 2)) 2) (- x 1)))) (pow l 4)) (sqrt (/ 1 (- x 1))))) (* 1/2 (* (/ (- (+ (* 2 (+ (* -2 (* (pow t 2) (+ (* -1/2 (* (pow t 4) x)) (* 2 (* (pow t 2) (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))))))) (* (pow t 4) (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))))) (pow t 6)) (* 1/2 (/ (* (+ (* -2 (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))) (pow t 2)) (- (+ (* -1 (pow t 4)) (* 2 (+ (* -1/2 (* (pow t 4) x)) (* 2 (* (pow t 2) (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))))))) (* 1/4 (/ (pow (+ (* -2 (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))) (pow t 2)) 2) (- x 1))))) (- x 1)))) (pow l 6)) (sqrt (/ 1 (- x 1)))))))) l))>
#<alt (* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))))>
#<alt (* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))))>
#<alt (* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))))>
#<alt (* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))))>
#<alt (* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))))>
#<alt (* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))))>
#<alt (* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))))>
#<alt (* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))))>
#<alt (* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))))>
#<alt (* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))))>
#<alt (* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))))>
#<alt (* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))))>
#<alt (* -2 (* (pow l 2) x))>
#<alt (+ (* -4 (* (pow t 2) x)) (* -2 (* (pow l 2) x)))>
#<alt (+ (* -4 (* (pow t 2) x)) (* -2 (* (pow l 2) x)))>
#<alt (+ (* -4 (* (pow t 2) x)) (* -2 (* (pow l 2) x)))>
#<alt (* -4 (* (pow t 2) x))>
#<alt (* (pow t 2) (+ (* -4 x) (* -2 (/ (* (pow l 2) x) (pow t 2)))))>
#<alt (* (pow t 2) (+ (* -4 x) (* -2 (/ (* (pow l 2) x) (pow t 2)))))>
#<alt (* (pow t 2) (+ (* -4 x) (* -2 (/ (* (pow l 2) x) (pow t 2)))))>
#<alt (* -4 (* (pow t 2) x))>
#<alt (* (pow t 2) (+ (* -4 x) (* -2 (/ (* (pow l 2) x) (pow t 2)))))>
#<alt (* (pow t 2) (+ (* -4 x) (* -2 (/ (* (pow l 2) x) (pow t 2)))))>
#<alt (* (pow t 2) (+ (* -4 x) (* -2 (/ (* (pow l 2) x) (pow t 2)))))>
#<alt (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))>
#<alt (+ (* -2 (* (pow l 2) x)) (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))))>
#<alt (+ (* -2 (* (pow l 2) x)) (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))))>
#<alt (+ (* -2 (* (pow l 2) x)) (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))))>
#<alt (* -2 (* (pow l 2) x))>
#<alt (* (pow l 2) (+ (* -2 x) (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow l 2))))>
#<alt (* (pow l 2) (+ (* -2 x) (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow l 2))))>
#<alt (* (pow l 2) (+ (* -2 x) (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow l 2))))>
#<alt (* -2 (* (pow l 2) x))>
#<alt (* (pow l 2) (+ (* -2 x) (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow l 2))))>
#<alt (* (pow l 2) (+ (* -2 x) (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow l 2))))>
#<alt (* (pow l 2) (+ (* -2 x) (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow l 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

105 calls:

Time	Variable		Point	Expression
16.0ms	l	@	inf	(+ (/ (* -2 (* x (- (- (* (* 2 (* t t)) -1) (* l l)) (+ (* l l) (* 2 (* t t)))))) (* 1 (* (+ (+ (* l l) (* 2 (* t t))) (* l l)) (+ (+ (* l l) (* 2 (* t t))) (* l l))))) (/ 2 (- (- (* (* 2 (* t t)) -1) (* l l)) (* l l))))
10.0ms	l	@	0	(+ (/ (* -2 (* x (- (- (* (* 2 (* t t)) -1) (* l l)) (+ (* l l) (* 2 (* t t)))))) (* 1 (* (+ (+ (* l l) (* 2 (* t t))) (* l l)) (+ (+ (* l l) (* 2 (* t t))) (* l l))))) (/ 2 (- (- (* (* 2 (* t t)) -1) (* l l)) (* l l))))
2.0ms	l	@	0	(sqrt (+ (/ (* -2 (* x (- (- (* (* 2 (* t t)) -1) (* l l)) (+ (* l l) (* 2 (* t t)))))) (* 1 (* (+ (+ (* l l) (* 2 (* t t))) (* l l)) (+ (+ (* l l) (* 2 (* t t))) (* l l))))) (/ 2 (- (- (* (* 2 (* t t)) -1) (* l l)) (* l l)))))
2.0ms	x	@	-inf	(sqrt (+ (/ (* -2 (* x (- (- (* (* 2 (* t t)) -1) (* l l)) (+ (* l l) (* 2 (* t t)))))) (* 1 (* (+ (+ (* l l) (* 2 (* t t))) (* l l)) (+ (+ (* l l) (* 2 (* t t))) (* l l))))) (/ 2 (- (- (* (* 2 (* t t)) -1) (* l l)) (* l l)))))
2.0ms	x	@	0	(+ (/ (* -2 (* x (- (- (* (* 2 (* t t)) -1) (* l l)) (+ (* l l) (* 2 (* t t)))))) (* 1 (* (+ (+ (* l l) (* 2 (* t t))) (* l l)) (+ (+ (* l l) (* 2 (* t t))) (* l l))))) (/ 2 (- (- (* (* 2 (* t t)) -1) (* l l)) (* l l))))

rewrite512.0ms (3.2%)

Memory

-9.6MiB live, 898.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 922×	`accelerator-lowering-fma.f32`
5 922×	`accelerator-lowering-fma.f64`
4 766×	`/-lowering-/.f32`
4 766×	`/-lowering-/.f64`
3 900×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	332
1	271	293
2	2749	287
0	9833	273

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 760

Calls

Call 1

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

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

simplify565.0ms (3.5%)

Memory

8.6MiB live, 970.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 118×	`accelerator-lowering-fma.f32`
10 118×	`accelerator-lowering-fma.f64`
7 536×	`-lowering-.f32`
7 536×	`-lowering-.f64`
4 466×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	899	11302
1	2819	10040
0	8588	9485

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

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))
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(* (/ 1 t) (sqrt (- (* 2 x) 1)))
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(* -1 (/ (+ (sqrt (- (* 2 x) 1)) (* 1/2 (* (/ (- (* 2 (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x)))) (* -1 (pow l 2))) (pow t 2)) (sqrt (/ 1 (- (* 2 x) 1)))))) t))
(* -1 (/ (+ (sqrt (- (* 2 x) 1)) (+ (* 1/2 (* (/ (- (* -2 (+ (* 2 (* (pow l 2) (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x))))) (* (pow l 4) x))) (+ (* 1/4 (/ (pow (- (* 2 (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x)))) (* -1 (pow l 2))) 2) (- (* 2 x) 1))) (pow l 4))) (pow t 4)) (sqrt (/ 1 (- (* 2 x) 1))))) (* 1/2 (* (/ (- (* 2 (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x)))) (* -1 (pow l 2))) (pow t 2)) (sqrt (/ 1 (- (* 2 x) 1))))))) t))
(* -1 (/ (+ (sqrt (- (* 2 x) 1)) (+ (* 1/2 (* (/ (- (* -2 (+ (* -2 (* (pow l 2) (+ (* 2 (* (pow l 2) (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x))))) (* (pow l 4) x)))) (* (pow l 4) (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x)))))) (+ (* -1 (pow l 6)) (* 1/2 (/ (* (- (* -2 (+ (* 2 (* (pow l 2) (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x))))) (* (pow l 4) x))) (+ (* 1/4 (/ (pow (- (* 2 (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x)))) (* -1 (pow l 2))) 2) (- (* 2 x) 1))) (pow l 4))) (- (* 2 (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x)))) (* -1 (pow l 2)))) (- (* 2 x) 1))))) (pow t 6)) (sqrt (/ 1 (- (* 2 x) 1))))) (+ (* 1/2 (* (/ (- (* -2 (+ (* 2 (* (pow l 2) (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x))))) (* (pow l 4) x))) (+ (* 1/4 (/ (pow (- (* 2 (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x)))) (* -1 (pow l 2))) 2) (- (* 2 x) 1))) (pow l 4))) (pow t 4)) (sqrt (/ 1 (- (* 2 x) 1))))) (* 1/2 (* (/ (- (* 2 (- (* 1/2 (* (pow l 2) x)) (* 2 (* (pow l 2) x)))) (* -1 (pow l 2))) (pow t 2)) (sqrt (/ 1 (- (* 2 x) 1)))))))) t))
(sqrt (- (* -1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 4))) (/ 1 (pow t 2))))
(+ (sqrt (- (* -1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 4))) (/ 1 (pow t 2)))) (* 1/2 (* (* (pow l 2) (+ (* -2 (- (* -1/2 (/ x (pow t 4))) (* 1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 6))))) (/ 1 (pow t 4)))) (sqrt (/ 1 (- (* -1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 4))) (/ 1 (pow t 2))))))))
(+ (sqrt (- (* -1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 4))) (/ 1 (pow t 2)))) (* (pow l 2) (+ (* 1/2 (* (* (pow l 2) (- (* 2 (+ (* 1/4 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 8))) (* 2 (/ (- (* -1/2 (/ x (pow t 4))) (* 1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 6)))) (pow t 2))))) (+ (* 1/4 (/ (pow (+ (* -2 (- (* -1/2 (/ x (pow t 4))) (* 1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 6))))) (/ 1 (pow t 4))) 2) (- (* -1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 4))) (/ 1 (pow t 2))))) (/ 1 (pow t 6))))) (sqrt (/ 1 (- (* -1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 4))) (/ 1 (pow t 2))))))) (* 1/2 (* (+ (* -2 (- (* -1/2 (/ x (pow t 4))) (* 1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 6))))) (/ 1 (pow t 4))) (sqrt (/ 1 (- (* -1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 4))) (/ 1 (pow t 2))))))))))
(+ (sqrt (- (* -1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 4))) (/ 1 (pow t 2)))) (* (pow l 2) (+ (* 1/2 (* (+ (* -2 (- (* -1/2 (/ x (pow t 4))) (* 1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 6))))) (/ 1 (pow t 4))) (sqrt (/ 1 (- (* -1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 4))) (/ 1 (pow t 2))))))) (* (pow l 2) (+ (* 1/2 (* (sqrt (/ 1 (- (* -1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 4))) (/ 1 (pow t 2))))) (- (* 2 (+ (* 1/4 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 8))) (* 2 (/ (- (* -1/2 (/ x (pow t 4))) (* 1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 6)))) (pow t 2))))) (+ (* 1/4 (/ (pow (+ (* -2 (- (* -1/2 (/ x (pow t 4))) (* 1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 6))))) (/ 1 (pow t 4))) 2) (- (* -1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 4))) (/ 1 (pow t 2))))) (/ 1 (pow t 6)))))) (* 1/2 (* (* (pow l 2) (- (+ (* -2 (- (* 1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 10))) (+ (* -2 (/ (+ (* 1/4 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 8))) (* 2 (/ (- (* -1/2 (/ x (pow t 4))) (* 1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 6)))) (pow t 2)))) (pow t 2))) (* -1/2 (/ x (pow t 8)))))) (/ 1 (pow t 8))) (* 1/2 (/ (* (+ (* -2 (- (* -1/2 (/ x (pow t 4))) (* 1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 6))))) (/ 1 (pow t 4))) (- (* 2 (+ (* 1/4 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 8))) (* 2 (/ (- (* -1/2 (/ x (pow t 4))) (* 1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 6)))) (pow t 2))))) (+ (* 1/4 (/ (pow (+ (* -2 (- (* -1/2 (/ x (pow t 4))) (* 1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 6))))) (/ 1 (pow t 4))) 2) (- (* -1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 4))) (/ 1 (pow t 2))))) (/ 1 (pow t 6))))) (- (* -1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 4))) (/ 1 (pow t 2))))))) (sqrt (/ 1 (- (* -1/2 (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow t 4))) (/ 1 (pow t 2))))))))))))
(* (/ 1 l) (sqrt (- x 1)))
(/ (+ (sqrt (- x 1)) (* 1/2 (* (/ (+ (* -2 (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))) (pow t 2)) (pow l 2)) (sqrt (/ 1 (- x 1)))))) l)
(/ (+ (sqrt (- x 1)) (+ (* 1/2 (* (/ (+ (* -2 (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))) (pow t 2)) (pow l 2)) (sqrt (/ 1 (- x 1))))) (* 1/2 (* (/ (- (+ (* -1 (pow t 4)) (* 2 (+ (* -1/2 (* (pow t 4) x)) (* 2 (* (pow t 2) (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))))))) (* 1/4 (/ (pow (+ (* -2 (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))) (pow t 2)) 2) (- x 1)))) (pow l 4)) (sqrt (/ 1 (- x 1))))))) l)
(/ (+ (sqrt (- x 1)) (+ (* 1/2 (* (/ (+ (* -2 (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))) (pow t 2)) (pow l 2)) (sqrt (/ 1 (- x 1))))) (+ (* 1/2 (* (/ (- (+ (* -1 (pow t 4)) (* 2 (+ (* -1/2 (* (pow t 4) x)) (* 2 (* (pow t 2) (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))))))) (* 1/4 (/ (pow (+ (* -2 (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))) (pow t 2)) 2) (- x 1)))) (pow l 4)) (sqrt (/ 1 (- x 1))))) (* 1/2 (* (/ (- (+ (* 2 (+ (* -2 (* (pow t 2) (+ (* -1/2 (* (pow t 4) x)) (* 2 (* (pow t 2) (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))))))) (* (pow t 4) (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))))) (pow t 6)) (* 1/2 (/ (* (+ (* -2 (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))) (pow t 2)) (- (+ (* -1 (pow t 4)) (* 2 (+ (* -1/2 (* (pow t 4) x)) (* 2 (* (pow t 2) (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))))))) (* 1/4 (/ (pow (+ (* -2 (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))) (pow t 2)) 2) (- x 1))))) (- x 1)))) (pow l 6)) (sqrt (/ 1 (- x 1)))))))) l)
(* -1 (* (/ 1 l) (sqrt (- x 1))))
(* -1 (/ (+ (sqrt (- x 1)) (* 1/2 (* (/ (+ (* -2 (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))) (pow t 2)) (pow l 2)) (sqrt (/ 1 (- x 1)))))) l))
(* -1 (/ (+ (sqrt (- x 1)) (+ (* 1/2 (* (/ (+ (* -2 (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))) (pow t 2)) (pow l 2)) (sqrt (/ 1 (- x 1))))) (* 1/2 (* (/ (- (+ (* -1 (pow t 4)) (* 2 (+ (* -1/2 (* (pow t 4) x)) (* 2 (* (pow t 2) (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))))))) (* 1/4 (/ (pow (+ (* -2 (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))) (pow t 2)) 2) (- x 1)))) (pow l 4)) (sqrt (/ 1 (- x 1))))))) l))
(* -1 (/ (+ (sqrt (- x 1)) (+ (* 1/2 (* (/ (+ (* -2 (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))) (pow t 2)) (pow l 2)) (sqrt (/ 1 (- x 1))))) (+ (* 1/2 (* (/ (- (+ (* -1 (pow t 4)) (* 2 (+ (* -1/2 (* (pow t 4) x)) (* 2 (* (pow t 2) (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))))))) (* 1/4 (/ (pow (+ (* -2 (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))) (pow t 2)) 2) (- x 1)))) (pow l 4)) (sqrt (/ 1 (- x 1))))) (* 1/2 (* (/ (- (+ (* 2 (+ (* -2 (* (pow t 2) (+ (* -1/2 (* (pow t 4) x)) (* 2 (* (pow t 2) (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))))))) (* (pow t 4) (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))))) (pow t 6)) (* 1/2 (/ (* (+ (* -2 (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))) (pow t 2)) (- (+ (* -1 (pow t 4)) (* 2 (+ (* -1/2 (* (pow t 4) x)) (* 2 (* (pow t 2) (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))))))) (* 1/4 (/ (pow (+ (* -2 (- (* 1/4 (* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))) (* -1 (* (pow t 2) x)))) (pow t 2)) 2) (- x 1))))) (- x 1)))) (pow l 6)) (sqrt (/ 1 (- x 1)))))))) l))
(* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))))
(* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))))
(* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))))
(* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))))
(* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))))
(* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))))
(* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))))
(* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))))
(* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))))
(* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))))
(* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))))
(* x (- (* -2 (pow t 2)) (+ (* 2 (pow l 2)) (* 2 (pow t 2)))))
(* -2 (* (pow l 2) x))
(+ (* -4 (* (pow t 2) x)) (* -2 (* (pow l 2) x)))
(+ (* -4 (* (pow t 2) x)) (* -2 (* (pow l 2) x)))
(+ (* -4 (* (pow t 2) x)) (* -2 (* (pow l 2) x)))
(* -4 (* (pow t 2) x))
(* (pow t 2) (+ (* -4 x) (* -2 (/ (* (pow l 2) x) (pow t 2)))))
(* (pow t 2) (+ (* -4 x) (* -2 (/ (* (pow l 2) x) (pow t 2)))))
(* (pow t 2) (+ (* -4 x) (* -2 (/ (* (pow l 2) x) (pow t 2)))))
(* -4 (* (pow t 2) x))
(* (pow t 2) (+ (* -4 x) (* -2 (/ (* (pow l 2) x) (pow t 2)))))
(* (pow t 2) (+ (* -4 x) (* -2 (/ (* (pow l 2) x) (pow t 2)))))
(* (pow t 2) (+ (* -4 x) (* -2 (/ (* (pow l 2) x) (pow t 2)))))
(* x (- (* -2 (pow t 2)) (* 2 (pow t 2))))
(+ (* -2 (* (pow l 2) x)) (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))))
(+ (* -2 (* (pow l 2) x)) (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))))
(+ (* -2 (* (pow l 2) x)) (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))))
(* -2 (* (pow l 2) x))
(* (pow l 2) (+ (* -2 x) (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow l 2))))
(* (pow l 2) (+ (* -2 x) (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow l 2))))
(* (pow l 2) (+ (* -2 x) (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow l 2))))
(* -2 (* (pow l 2) x))
(* (pow l 2) (+ (* -2 x) (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow l 2))))
(* (pow l 2) (+ (* -2 x) (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow l 2))))
(* (pow l 2) (+ (* -2 x) (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow l 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)))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 x (/.f64 #s(literal -1/2 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)))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (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 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) 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 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) x)) x)) #s(literal -1 binary64)) x))
-1
#s(literal -1 binary64)
(- (* 2 x) 1)
(+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(- (* x (+ 2 (* -2 x))) 1)
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))
(- (* x (+ 2 (* x (- (* 2 x) 2)))) 1)
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 (*.f64 x #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 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (+.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)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(* x (- 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(* x (- 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 x)))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 x)))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(* -1 (sqrt (/ (- x 1) (+ 1 x))))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(* -1 (sqrt (/ (- x 1) (+ 1 x))))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(* -1 (sqrt (/ (- x 1) (+ 1 x))))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(* -1 (sqrt (/ (- x 1) (+ 1 x))))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ x (sqrt -1)))
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(* (pow l 2) (+ (* -2 x) (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow l 2))))
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(* (pow l 2) (+ (* -2 x) (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow l 2))))
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(* (pow l 2) (+ (* -2 x) (/ (* x (- (* -2 (pow t 2)) (* 2 (pow t 2)))) (pow l 2))))
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(* 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))
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(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))

eval464.0ms (2.9%)

Memory: -90.2MiB live, 492.9MiB allocated
Compiler: Compiled 77 461 to 5 517 computations (92.9% saved)

prune277.0ms (1.7%)

Memory

-7.9MiB live, 508.4MiB allocated

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	1 383	9	1 392
Fresh	15	10	25
Picked	3	2	5
Done	1	0	1
Total	1 402	21	1 423

Accuracy

99.7%

Counts

1 423 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.9%	(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))
	50.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (+.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 t x)) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 #s(literal 4 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))))))
	26.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 2 binary64) x))))))
	52.6%	(/.f64 (.f64 (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) t) (sqrt.f64 (+.f64 (/.f64 (.f64 t (.f64 t #s(literal 2 binary64))) x) (-.f64 (+.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) (.f64 x (.f64 x x))) (.f64 t t))) (+.f64 (/.f64 (.f64 l l) x) (/.f64 (.f64 l l) (.f64 x (.f64 x x))))) (-.f64 (-.f64 (/.f64 (.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) #s(literal -2 binary64)) (.f64 x x)) (/.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) (.f64 x (.f64 x x)))) (/.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) x))))))
▶	74.9%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
	75.1%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x x)))))
	74.9%	(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 1 binary64)) x))
	74.5%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	75.1%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
▶	16.3%	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 x (+.f64 (.f64 l l) (.f64 l l)))))
	72.5%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
	3.3%	(.f64 t (/.f64 (sqrt.f64 (+.f64 (.f64 (+.f64 (.f64 t (.f64 t #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 l l))) (neg.f64 (+.f64 (.f64 t (.f64 t #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 l l))))) (.f64 (/.f64 (-.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (.f64 l l))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 x (+.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) (-.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (.f64 l l))))))))) (sqrt.f64 (.f64 (/.f64 (-.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (.f64 l l))) #s(literal 2 binary64)) (.f64 (+.f64 (.f64 t (.f64 t #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 l l))) (neg.f64 (+.f64 (.f64 t (.f64 t #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (*.f64 l l)))))))))
	26.5%	(*.f64 t (/.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) l))
▶	73.5%	(*.f64 t (/.f64 #s(literal 1 binary64) t))
	1.8%	(.f64 t (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x t)) (/.f64 #s(literal -1 binary64) t)))
	4.4%	(.f64 t (sqrt.f64 (/.f64 (.f64 (.f64 x #s(literal -2 binary64)) (+.f64 (.f64 (.f64 t t) #s(literal -4 binary64)) (.f64 #s(literal -2 binary64) (.f64 l l)))) (.f64 #s(literal 4 binary64) (.f64 (+.f64 (.f64 l l) (.f64 t t)) (+.f64 (.f64 l l) (*.f64 t t)))))))
	54.3%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t))) x))))))
▶	33.5%	(sqrt.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
✓	75.9%	(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
	74.3%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
✓	73.6%	#s(literal 1 binary64)

Compiler

Compiled 1 051 to 535 computations (49.1% saved)

simplify491.0ms (3%)

Memory

4.9MiB live, 965.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 x (+.f64 (.f64 l l) (.f64 l l)))))
✓	cost-diff	128	(+.f64 (.f64 l l) (.f64 l l))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(+.f64 (*.f64 x x) #s(literal -1 binary64))
✓	cost-diff	0	(sqrt.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
✓	cost-diff	384	(/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
✓	cost-diff	0	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) t)
✓	cost-diff	256	(*.f64 t (/.f64 #s(literal 1 binary64) t))
✓	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	(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))

Rules

20 414×	`accelerator-lowering-fma.f32`
20 414×	`accelerator-lowering-fma.f64`
3 322×	`-lowering-.f32`
3 322×	`-lowering-.f64`
2 608×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	158
1	62	158
2	114	150
3	258	146
4	551	146
5	1361	146
6	4745	146
0	8805	144

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize131.0ms (0.8%)

Memory

0.5MiB live, 199.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	98.3%	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 x (+.f64 (.f64 l l) (.f64 l l)))))
✓	accuracy	93.9%	(/.f64 x (+.f64 (.f64 l l) (.f64 l l)))
✓	accuracy	76.8%	(sqrt.f64 (/.f64 x (+.f64 (.f64 l l) (.f64 l l))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(sqrt.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
✓	accuracy	70.4%	(/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.4%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) t)
✓	accuracy	99.9%	(*.f64 t (/.f64 #s(literal 1 binary64) t))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(+.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%	(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))

Samples

72.0ms	163×	0	valid
20.0ms	93×	0	invalid

Compiler

Compiled 172 to 32 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-div: 10.0ms (26.5% of total)

ival-mult: 8.0ms (21.2% of total)

ival-add: 6.0ms (15.9% of total)

ival-pow: 6.0ms (15.9% of total)

ival-sqrt: 5.0ms (13.3% of total)

ival-sub: 1.0ms (2.7% of total)

exact: 1.0ms (2.7% of total)

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

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

series20.0ms (0.1%)

Memory

6.3MiB live, 43.3MiB allocated

Counts

20 → 276

Calls

Call 1

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

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

Calls

69 calls:

Time	Variable		Point	Expression
3.0ms	l	@	0	(* (* t (sqrt 2)) (sqrt (/ x (+ (* l l) (* l l)))))
2.0ms	t	@	0	(* (* t (sqrt 2)) (sqrt (/ x (+ (* l l) (* l l)))))
1.0ms	x	@	-inf	(* (* t (sqrt 2)) (sqrt (/ x (+ (* l l) (* l l)))))
1.0ms	x	@	0	(* (* t (sqrt 2)) (sqrt (/ x (+ (* l l) (* l l)))))
1.0ms	l	@	inf	(* (* t (sqrt 2)) (sqrt (/ x (+ (* l l) (* l l)))))

rewrite395.0ms (2.4%)

Memory

-2.9MiB live, 607.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 820×	`/-lowering-/.f32`
4 820×	`/-lowering-/.f64`
4 504×	`-lowering-.f32`
4 504×	`-lowering-.f64`
2 482×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	121
1	182	106
2	1640	104
0	8734	102

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 926

Calls

Call 1

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

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

simplify395.0ms (2.4%)

Memory

15.1MiB live, 765.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 726×	`accelerator-lowering-fma.f32`
12 726×	`accelerator-lowering-fma.f64`
4 618×	`-lowering-.f32`
4 618×	`-lowering-.f64`
2 630×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	1876
1	554	1814
2	1490	1776
3	4359	1767
0	8080	1727

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

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)))))
1
(- 1 (/ 1 x))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x))) x)))
-1
(- (* -2 x) 1)
(- (* x (- (* -2 x) 2)) 1)
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1)
1
(+ 1 (* 2 (/ 1 x)))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))
1
(+ 1 (* 2 (/ 1 x)))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))
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)))
-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
1
1
1
1
1
1
1
1
1
1
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* -1 x)) (pow x 2))
(/ (+ 1/2 (* x (- x 1))) (pow x 2))
(/ (+ 1/2 (* x (- x 1))) (pow x 2))
1
(- 1 (/ 1 x))
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))
1
(- 1 (/ 1 x))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x)))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x)))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (pow x 2)) (pow x 2))
(/ (+ 1/2 (pow x 2)) (pow x 2))
(/ (+ 1/2 (pow x 2)) (pow x 2))
1
(+ 1 (* 1/2 (/ 1 (pow x 2))))
(+ 1 (* 1/2 (/ 1 (pow x 2))))
(+ 1 (* 1/2 (/ 1 (pow x 2))))
1
(+ 1 (* 1/2 (/ 1 (pow x 2))))
(+ 1 (* 1/2 (/ 1 (pow x 2))))
(+ 1 (* 1/2 (/ 1 (pow x 2))))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 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)))
(sqrt -1)
(+ (sqrt -1) (* -1 (* x (sqrt -1))))
(+ (sqrt -1) (* x (+ (* -1 (sqrt -1)) (* x (+ (sqrt -1) (* 1/2 (/ 1 (sqrt -1))))))))
(+ (sqrt -1) (* x (+ (* -1 (sqrt -1)) (* x (+ (sqrt -1) (+ (* 1/2 (/ 1 (sqrt -1))) (* x (- (* -1 (sqrt -1)) (* 1/2 (/ 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 x) 1)
(- (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1) x)) 1)
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* 2 (pow l 2))
(* 2 (pow l 2))
(* 2 (pow l 2))
(* 2 (pow l 2))
(* 2 (pow l 2))
(* 2 (pow l 2))
(* 2 (pow l 2))
(* 2 (pow l 2))
(* 2 (pow l 2))
(* 2 (pow l 2))
(* 2 (pow l 2))
(* 2 (pow l 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 -1) (* (sqrt -1/2) (sqrt 2)))) l) (sqrt x)))
(* -1 (* (/ (* t (* (sqrt -1) (* (sqrt -1/2) (sqrt 2)))) l) (sqrt x)))
(* -1 (* (/ (* t (* (sqrt -1) (* (sqrt -1/2) (sqrt 2)))) l) (sqrt x)))
(* -1 (* (/ (* t (* (sqrt -1) (* (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 1/2) (sqrt 2))) l) (sqrt x)))
(* -1 (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x)))
(* -1 (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x)))
(* -1 (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt 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))
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)))))
(* (/ (sqrt 1/2) l) (sqrt x))
(* (/ (sqrt 1/2) l) (sqrt x))
(* (/ (sqrt 1/2) l) (sqrt x))
(* (/ (sqrt 1/2) l) (sqrt x))
(* (/ (sqrt 1/2) l) (sqrt x))
(* (/ (sqrt 1/2) l) (sqrt x))
(* (/ (sqrt 1/2) l) (sqrt x))
(* (/ (sqrt 1/2) l) (sqrt x))
(* -1 (* (/ (* (sqrt -1) (sqrt -1/2)) l) (sqrt x)))
(* -1 (* (/ (* (sqrt -1) (sqrt -1/2)) l) (sqrt x)))
(* -1 (* (/ (* (sqrt -1) (sqrt -1/2)) l) (sqrt x)))
(* -1 (* (/ (* (sqrt -1) (sqrt -1/2)) l) (sqrt x)))
(* (/ (sqrt 1/2) l) (sqrt x))
(* (/ (sqrt 1/2) l) (sqrt x))
(* (/ (sqrt 1/2) l) (sqrt x))
(* (/ (sqrt 1/2) l) (sqrt x))
(* (/ (sqrt 1/2) l) (sqrt x))
(* (/ (sqrt 1/2) l) (sqrt x))
(* (/ (sqrt 1/2) l) (sqrt x))
(* (/ (sqrt 1/2) l) (sqrt x))
(* -1 (* (/ (sqrt 1/2) l) (sqrt x)))
(* -1 (* (/ (sqrt 1/2) l) (sqrt x)))
(* -1 (* (/ (sqrt 1/2) l) (sqrt x)))
(* -1 (* (/ (sqrt 1/2) l) (sqrt x)))
(* 1/2 (/ x (pow l 2)))
(* 1/2 (/ x (pow l 2)))
(* 1/2 (/ x (pow l 2)))
(* 1/2 (/ x (pow l 2)))
(* 1/2 (/ x (pow l 2)))
(* 1/2 (/ x (pow l 2)))
(* 1/2 (/ x (pow l 2)))
(* 1/2 (/ x (pow l 2)))
(* 1/2 (/ x (pow l 2)))
(* 1/2 (/ x (pow l 2)))
(* 1/2 (/ x (pow l 2)))
(* 1/2 (/ x (pow l 2)))
(* 1/2 (/ x (pow l 2)))
(* 1/2 (/ x (pow l 2)))
(* 1/2 (/ x (pow l 2)))
(* 1/2 (/ x (pow l 2)))
(* 1/2 (/ x (pow l 2)))
(* 1/2 (/ x (pow l 2)))
(* 1/2 (/ x (pow l 2)))
(* 1/2 (/ x (pow l 2)))
(* 1/2 (/ x (pow l 2)))
(* 1/2 (/ x (pow l 2)))
(* 1/2 (/ x (pow l 2)))
(* 1/2 (/ x (pow l 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)))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 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)))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x #s(literal 1/2 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 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) 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 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) x))
-1
#s(literal -1 binary64)
(- (* -2 x) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64)))
(- (* x (- (* -2 x) 2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x #s(literal -2 binary64)))))
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) 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)) (/ 2 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
x
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ (+ 1/2 (* -1 x)) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)
(/ (+ 1/2 (* x (- x 1))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1 binary64) x))) (.f64 x x))
(/ (+ 1/2 (* x (- x 1))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1 binary64) x))) (.f64 x x))
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))
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(* (/ (sqrt 1/2) l) (sqrt x))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 x) l))
(* (/ (sqrt 1/2) l) (sqrt x))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 x) l))
(* (/ (sqrt 1/2) l) (sqrt x))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 x) l))
(* (/ (sqrt 1/2) l) (sqrt x))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 x) l))
(* (/ (sqrt 1/2) l) (sqrt x))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 x) l))
(* (/ (sqrt 1/2) l) (sqrt x))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 x) l))
(* (/ (sqrt 1/2) l) (sqrt x))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 x) l))
(* (/ (sqrt 1/2) l) (sqrt x))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 x) l))
(* -1 (* (/ (sqrt 1/2) l) (sqrt x)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 x) l)))
(* -1 (* (/ (sqrt 1/2) l) (sqrt x)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 x) l)))
(* -1 (* (/ (sqrt 1/2) l) (sqrt x)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 x) l)))
(* -1 (* (/ (sqrt 1/2) l) (sqrt x)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 x) l)))
(* 1/2 (/ x (pow l 2)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) l) l)
(* 1/2 (/ x (pow l 2)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) l) l)
(* 1/2 (/ x (pow l 2)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) l) l)
(* 1/2 (/ x (pow l 2)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) l) l)
(* 1/2 (/ x (pow l 2)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) l) l)
(* 1/2 (/ x (pow l 2)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) l) l)
(* 1/2 (/ x (pow l 2)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) l) l)
(* 1/2 (/ x (pow l 2)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) l) l)
(* 1/2 (/ x (pow l 2)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) l) l)
(* 1/2 (/ x (pow l 2)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) l) l)
(* 1/2 (/ x (pow l 2)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) l) l)
(* 1/2 (/ x (pow l 2)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) l) l)
(* 1/2 (/ x (pow l 2)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) l) l)
(* 1/2 (/ x (pow l 2)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) l) l)
(* 1/2 (/ x (pow l 2)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) l) l)
(* 1/2 (/ x (pow l 2)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) l) l)
(* 1/2 (/ x (pow l 2)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) l) l)
(* 1/2 (/ x (pow l 2)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) l) l)
(* 1/2 (/ x (pow l 2)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) l) l)
(* 1/2 (/ x (pow l 2)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) l) l)
(* 1/2 (/ x (pow l 2)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) l) l)
(* 1/2 (/ x (pow l 2)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) l) l)
(* 1/2 (/ x (pow l 2)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) l) l)
(* 1/2 (/ x (pow l 2)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) l) l)

eval230.0ms (1.4%)

Memory: 8.9MiB live, 360.1MiB allocated
Compiler: Compiled 31 625 to 3 779 computations (88.1% saved)

prune303.0ms (1.9%)

Memory

-17.9MiB live, 475.4MiB allocated

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	1 404	8	1 412
Fresh	4	10	14
Picked	2	3	5
Done	0	2	2
Total	1 410	23	1 433

Accuracy

99.7%

Counts

1 433 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.9%	(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))
	19.9%	(/.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (+.f64 x #s(literal 1 binary64)))
	32.4%	(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1 binary64) x))) (.f64 x x))
	50.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (+.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 t x)) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 #s(literal 4 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))))))
	26.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 2 binary64) x))))))
	5.7%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	74.9%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
	75.1%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x x)))))
	74.5%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	74.9%	(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
	75.1%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) x))
	75.1%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
	25.8%	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 x l)) (pow.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 1/2 binary64))))
	25.9%	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) l))
	18.8%	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) l) (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) l) x) #s(literal -1 binary64)))))
	72.5%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
	3.3%	(.f64 t (/.f64 (sqrt.f64 (+.f64 (.f64 (+.f64 (.f64 t (.f64 t #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 l l))) (neg.f64 (+.f64 (.f64 t (.f64 t #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 l l))))) (.f64 (/.f64 (-.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (.f64 l l))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 x (+.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) (-.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (.f64 l l))))))))) (sqrt.f64 (.f64 (/.f64 (-.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (.f64 l l))) #s(literal 2 binary64)) (.f64 (+.f64 (.f64 t (.f64 t #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 l l))) (neg.f64 (+.f64 (.f64 t (.f64 t #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (*.f64 l l)))))))))
	26.5%	(*.f64 t (/.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) l))
✓	73.5%	(*.f64 t (/.f64 #s(literal 1 binary64) t))
	4.4%	(.f64 t (sqrt.f64 (/.f64 (.f64 (.f64 x #s(literal -2 binary64)) (+.f64 (.f64 (.f64 t t) #s(literal -4 binary64)) (.f64 #s(literal -2 binary64) (.f64 l l)))) (.f64 #s(literal 4 binary64) (.f64 (+.f64 (.f64 l l) (.f64 t t)) (+.f64 (.f64 l l) (*.f64 t t)))))))
	54.3%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t))) x))))))
✓	75.9%	(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
✓	73.6%	#s(literal 1 binary64)

Compiler

Compiled 2 082 to 638 computations (69.4% saved)

regimes102.0ms (0.6%)

Memory

-6.6MiB live, 188.1MiB allocated

Counts

62 → 3

Calls

Call 1

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

Outputs

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

(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 t t)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 t t)) (+.f64 (*.f64 l l) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))))) (/.f64 (+.f64 (-.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 t t)) x) (/.f64 (*.f64 l l) x)) (-.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 t t)) #s(literal -1 binary64)) (*.f64 l l)) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t))))) (/.f64 (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t))) x)) x)) x)))))

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

Calls

6 calls:

18.0ms	l
18.0ms	t
17.0ms	x
16.0ms	(*.f64 l l)
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
75.9%	1	`x`
82.4%	2	`l`
84.6%	3	`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))))`
75.9%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
82.4%	2	`(*.f64 l l)`

Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes13.0ms (0.1%)

Memory

-12.9MiB live, 25.5MiB allocated

Counts

30 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 t (/.f64 #s(literal 1 binary64) t))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 1 binary64)) x))
(.f64 t (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x t)) (/.f64 #s(literal -1 binary64) t)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1 binary64) x))) (.f64 x x))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) x))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x x)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t t))))
(*.f64 t (/.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) l))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 t t)))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) #s(literal -1 binary64)) (.f64 l l)) (.f64 l l)))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (.f64 l l)))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 l (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) l) (+.f64 x #s(literal -1 binary64))) l))))) t)
(.f64 t (sqrt.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.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)) #s(literal 2 binary64))) t))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t))) x))))))
(.f64 t (sqrt.f64 (/.f64 (.f64 (.f64 x #s(literal -2 binary64)) (+.f64 (.f64 (.f64 t t) #s(literal -4 binary64)) (.f64 #s(literal -2 binary64) (.f64 l l)))) (.f64 #s(literal 4 binary64) (.f64 (+.f64 (.f64 l l) (.f64 t t)) (+.f64 (.f64 l l) (*.f64 t t)))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) x)) (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (+.f64 (.f64 l l) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))))) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (/.f64 (*.f64 l l) x))) x)))))
(.f64 t (sqrt.f64 (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 x (-.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) #s(literal -1 binary64)) (.f64 l l)) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))))) (.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 l l)) (+.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 l l))))) (/.f64 #s(literal 2 binary64) (-.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) #s(literal -1 binary64)) (.f64 l l)) (*.f64 l l))))))

Outputs

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

(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 t t)) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t))) x)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 t t)) (+.f64 (*.f64 l l) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))))) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 t t)) x) (/.f64 (*.f64 l l) x))) x)))))

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
84.5%	3	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Memory

28.7MiB live, 28.7MiB allocated

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
84.2%	3	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes26.0ms (0.2%)

Memory

8.7MiB live, 46.5MiB allocated

Counts

26 → 2

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	t
8.0ms	l
7.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
82.4%	2	`l`
82.4%	2	`(*.f64 l l)`
80.1%	2	`t`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes19.0ms (0.1%)

Memory

-8.8MiB live, 31.2MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	l
5.0ms	t
4.0ms	x

Results

Accuracy	Segments	Branch
75.9%	1	`x`
75.9%	1	`t`
75.9%	1	`l`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes15.0ms (0.1%)

Memory

-8.8MiB live, 28.5MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	l
4.0ms	t
4.0ms	x

Results

Accuracy	Segments	Branch
75.1%	1	`x`
75.1%	1	`l`
75.1%	1	`t`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes25.0ms (0.2%)

Memory

-10.0MiB live, 26.3MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	t
3.0ms	l
3.0ms	x

Results

Accuracy	Segments	Branch
74.9%	1	`x`
74.9%	1	`l`
74.9%	1	`t`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
3.0ms	t
3.0ms	l

Results

Accuracy	Segments	Branch
74.9%	1	`l`
74.9%	1	`t`
74.9%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	l
2.0ms	x
2.0ms	t

Results

Accuracy	Segments	Branch
74.5%	1	`l`
74.5%	1	`x`
74.5%	1	`t`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes20.0ms (0.1%)

Memory

-28.6MiB live, 10.8MiB allocated

Accuracy

Total -0.1b remaining (-0.4%)

Threshold costs -0.1b (-0.4%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 t (/.f64 #s(literal 1 binary64) t))

Outputs
#s(literal 1 binary64)

Calls

3 calls:

16.0ms	l
1.0ms	x
1.0ms	t

Results

Accuracy	Segments	Branch
73.6%	1	`l`
73.6%	1	`t`
73.6%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch52.0ms (0.3%)

Memory

11.9MiB live, 92.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	4.655470817103492e+87	1.3384758479127774e+92
40.0ms	3.8238166122623115e-157	2.7945797064327783e-144

Samples

20.0ms	87×	1	valid
12.0ms	100×	0	valid
4.0ms	24×	1	invalid
1.0ms	5×	2	valid
1.0ms	3×	2	invalid
0.0ms	2×	0	invalid

Compiler

Compiled 1 233 to 494 computations (59.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 9.0ms (29.3% of total)

ival-sqrt: 8.0ms (26.1% of total)

ival-div: 4.0ms (13% of total)

ival-sub: 3.0ms (9.8% of total)

ival-add: 3.0ms (9.8% of total)

adjust: 2.0ms (6.5% of total)

exact: 0.0ms (0% of total)

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

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

bsearch162.0ms (1%)

Memory

-18.2MiB live, 119.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
58.0ms	4.655470817103492e+87	1.3384758479127774e+92
96.0ms	3.8238166122623115e-157	2.7945797064327783e-144

Samples

79.0ms	118×	1	valid
56.0ms	163×	0	valid
4.0ms	23×	1	invalid
2.0ms	7×	2	valid
1.0ms	4×	2	invalid
0.0ms	4×	0	invalid

Compiler

Compiled 1 401 to 626 computations (55.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-sqrt: 65.0ms (68.8% of total)

ival-mult: 12.0ms (12.7% of total)

ival-div: 5.0ms (5.3% of total)

ival-sub: 4.0ms (4.2% of total)

ival-add: 4.0ms (4.2% of total)

adjust: 3.0ms (3.2% of total)

exact: 0.0ms (0% of total)

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

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

bsearch70.0ms (0.4%)

Memory

14.0MiB live, 126.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.3080728508775612e+57	4.808986022266422e+58
41.0ms	3.8238166122623115e-157	2.7945797064327783e-144

Samples

23.0ms	120×	1	valid
19.0ms	139×	0	valid
5.0ms	25×	1	invalid
4.0ms	13×	2	valid
1.0ms	4×	2	invalid
0.0ms	3×	0	invalid

Compiler

Compiled 924 to 497 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 13.0ms (33.4% of total)

ival-div: 7.0ms (18% of total)

ival-sqrt: 6.0ms (15.4% of total)

ival-add: 5.0ms (12.9% of total)

ival-sub: 4.0ms (10.3% of total)

adjust: 3.0ms (7.7% of total)

exact: 0.0ms (0% of total)

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

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

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.4660624617994877e+236	2.9320955693532193e+242

Compiler

Compiled 31 to 24 computations (22.6% saved)

simplify61.0ms (0.4%)

Memory

-4.6MiB live, 36.7MiB allocated

Algorithm

1×	egg-herbie

Rules

460×	`distribute-lft-neg-in_binary64`
254×	`neg-mul-1_binary64`
246×	`distribute-neg-in_binary64`
244×	`neg-sub0_binary64`
232×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	320
1	143	319
2	208	317
3	309	316
4	473	316
5	705	316
6	889	316
7	1012	316
8	1190	316
9	1371	316
10	1506	316
11	1573	316
12	1592	316
13	1595	316

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 t #s(literal 3743770725422969/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) (.f64 t (/.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) l)) (if (<=.f64 t #s(literal 4999999999999999797083622281751813657459980448242257198348695049033519614754772127580160 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (+.f64 (.f64 l l) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))))) (/.f64 (+.f64 (-.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (/.f64 (.f64 l l) x)) (-.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) #s(literal -1 binary64)) (.f64 l l)) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))))) (/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t))) x)) x)) x))))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(if (<=.f64 t #s(literal 2264377454892925/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (.f64 t (/.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) l)) (if (<=.f64 t #s(literal 6600000000000000262204500845427692902836424414555334250065446527409933327958159596191744 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) x)) (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (+.f64 (.f64 l l) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))))) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (/.f64 (.f64 l l) x))) x))))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(if (<=.f64 t #s(literal 2264377454892925/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (.f64 t (/.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) l)) (if (<=.f64 t #s(literal 21499999999999999558545019644479476744254197643590800244736 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) x)))))) (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))))
(if (<=.f64 (.f64 l l) #s(literal 400000000000000021266407865063859614241355783009804038934278919481755660891686623783800171653972196361028867272500483758518017805522146154926768652360816155067966815893368940537990027350513329249418551341165922688449477222814365526261760 binary64)) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 t (/.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) l)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) x))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)

Outputs
(if (<=.f64 t #s(literal 3743770725422969/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) (.f64 t (/.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) l)) (if (<=.f64 t #s(literal 4999999999999999797083622281751813657459980448242257198348695049033519614754772127580160 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (+.f64 (.f64 l l) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))))) (/.f64 (+.f64 (-.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (/.f64 (.f64 l l) x)) (-.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) #s(literal -1 binary64)) (.f64 l l)) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))))) (/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t))) x)) x)) x))))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(if (<=.f64 t #s(literal 3743770725422969/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) (.f64 t (/.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) l)) (if (<=.f64 t #s(literal 4999999999999999797083622281751813657459980448242257198348695049033519614754772127580160 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (+.f64 (.f64 l l) (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l)))) (/.f64 (+.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (/.f64 (.f64 l l) x)) (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l)) (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l)))) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l)) x)) x)) x))))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(if (<=.f64 t #s(literal 2264377454892925/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (.f64 t (/.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) l)) (if (<=.f64 t #s(literal 6600000000000000262204500845427692902836424414555334250065446527409933327958159596191744 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) x)) (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (+.f64 (.f64 l l) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))))) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (/.f64 (.f64 l l) x))) x))))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(if (<=.f64 t #s(literal 2264377454892925/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (.f64 t (/.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) l)) (if (<=.f64 t #s(literal 6600000000000000262204500845427692902836424414555334250065446527409933327958159596191744 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (/.f64 (.f64 l l) x)) (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (+.f64 (.f64 l l) (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l)))) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l)) x))) x))))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(if (<=.f64 t #s(literal 2264377454892925/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (.f64 t (/.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) l)) (if (<=.f64 t #s(literal 21499999999999999558545019644479476744254197643590800244736 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) x)))))) (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))))
(if (<=.f64 t #s(literal 2264377454892925/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (.f64 t (/.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) l)) (if (<=.f64 t #s(literal 21499999999999999558545019644479476744254197643590800244736 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (+.f64 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l)) x) (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (.f64 l l) x))))))) (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))))
(if (<=.f64 (.f64 l l) #s(literal 400000000000000021266407865063859614241355783009804038934278919481755660891686623783800171653972196361028867272500483758518017805522146154926768652360816155067966815893368940537990027350513329249418551341165922688449477222814365526261760 binary64)) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 t (/.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) l)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) x))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
(-.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)

soundness1.3s (7.7%)

Memory

-1.9MiB live, 1 184.3MiB allocated

Rules

13 380×	`accelerator-lowering-fma.f32`
13 380×	`accelerator-lowering-fma.f64`
12 726×	`accelerator-lowering-fma.f32`
12 726×	`accelerator-lowering-fma.f64`
10 338×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	121
1	182	106
2	1640	104
0	8734	102
0	899	11302
1	2819	10040
0	8588	9485
0	1659	31533
1	5625	30608
0	8327	29192
0	18	76
1	103	76
2	915	75
0	8798	72
0	41	332
1	271	293
2	2749	287
0	9833	273
0	670	10103
1	2312	8916
0	8650	8526
0	193	1876
1	554	1814
2	1490	1776
3	4359	1767
0	8080	1727

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
1×	iter limit
1×	node limit

Compiler

Compiled 754 to 419 computations (44.4% saved)

preprocess178.0ms (1.1%)

Memory: 39.1MiB live, 192.1MiB allocated
Compiler: Compiled 2 410 to 830 computations (65.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze339.0ms (2.1%)

sample3.0s (18.6%)

preprocess625.0ms (3.9%)

explain254.0ms (1.6%)

eval0.0ms (0%)

prune17.0ms (0.1%)

simplify530.0ms (3.3%)

localize75.0ms (0.5%)

series74.0ms (0.5%)

rewrite950.0ms (5.9%)

simplify721.0ms (4.4%)

eval322.0ms (2%)

prune95.0ms (0.6%)

simplify806.0ms (5%)

localize431.0ms (2.7%)

series126.0ms (0.8%)

rewrite454.0ms (2.8%)

simplify570.0ms (3.5%)

eval241.0ms (1.5%)

prune194.0ms (1.2%)

simplify332.0ms (2%)

localize154.0ms (1%)

series75.0ms (0.5%)

rewrite512.0ms (3.2%)

simplify565.0ms (3.5%)

eval464.0ms (2.9%)

prune277.0ms (1.7%)

simplify491.0ms (3%)

localize131.0ms (0.8%)

series20.0ms (0.1%)

rewrite395.0ms (2.4%)

simplify395.0ms (2.4%)

eval230.0ms (1.4%)

prune303.0ms (1.9%)

regimes102.0ms (0.6%)

regimes13.0ms (0.1%)

regimes11.0ms (0.1%)

regimes26.0ms (0.2%)

regimes19.0ms (0.1%)

regimes15.0ms (0.1%)

regimes25.0ms (0.2%)

regimes9.0ms (0.1%)

regimes7.0ms (0%)

regimes20.0ms (0.1%)

bsearch52.0ms (0.3%)

bsearch162.0ms (1%)

bsearch70.0ms (0.4%)

bsearch0.0ms (0%)

simplify61.0ms (0.4%)

soundness1.3s (7.7%)

preprocess178.0ms (1.1%)

end0.0ms (0%)

Profiling