Metrics for Toniolo and Linder, Equation (7)

analyze347.0ms (2.6%)

Memory

-4.3MiB live, 683.4MiB 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)

sample3.5s (26.4%)

Memory

22.2MiB live, 4 251.2MiB allocated

Samples

878.0ms	5 336×	0	valid
734.0ms	2 759×	1	valid
539.0ms	1 696×	1	invalid
534.0ms	2 744×	0	invalid
67.0ms	145×	2	valid
24.0ms	93×	2	invalid
7.0ms	16×	4	valid

Precisions

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

ival-mult: 766.0ms (36.9% of total)

ival-sqrt: 400.0ms (19.2% of total)

ival-div: 257.0ms (12.4% of total)

ival-add: 214.0ms (10.3% of total)

ival-sub: 208.0ms (10% of total)

adjust: 202.0ms (9.7% of total)

exact: 16.0ms (0.8% of total)

ival-true: 11.0ms (0.5% of total)

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

Bogosity

preprocess528.0ms (3.9%)

Memory

-5.0MiB live, 1 003.4MiB allocated

Algorithm

1×	egg-herbie

Rules

25 302×	`lower-fma.f64`
25 302×	`lower-fma.f32`
4 556×	`lower-*.f32`
4 546×	`lower-*.f64`
2 076×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	250
1	221	248
2	650	246
3	2219	246
4	7024	246
0	18	27
0	31	27
1	58	27
2	113	27
3	212	27
4	437	27
5	990	27
6	2266	27
7	5077	27
0	8183	26

Stop Event

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

Calls

Call 1

Inputs

(/.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))))

Outputs

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

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

Symmetry

(abs l)

(negabs t)

explain249.0ms (1.9%)

Memory

-1.8MiB live, 681.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
122	-	3	(-3.480634287937639e+84 3.538391455349745e-123 7.675863056135411e-156)	`(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)))`
91	-	0	-	`(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))`
0	-	0	-	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
0	-	0	-	`(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`t`
0	-	0	-	`(.f64 #s(literal 2 binary64) (.f64 t t))`
0	-	0	-	`(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)`
0	-	0	-	`(+.f64 x #s(literal 1 binary64))`
0	-	0	-	`(*.f64 l l)`
0	-	0	-	`(sqrt.f64 #s(literal 2 binary64))`
0	-	0	-	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
0	-	0	-	`(*.f64 t t)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(-.f64 x #s(literal 1 binary64))`
0	-	0	-	`l`
0	-	0	-	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)))`	oflow-rescue	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	114
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	76
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	overflow	114
↳	`(*.f64 t t)`	overflow	76
↳	`(*.f64 l l)`	overflow	118
`-.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	59	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	114
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	76
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	overflow	114
↳	`(*.f64 t t)`	overflow	76
↳	`(*.f64 l l)`	overflow	59
↳	`(*.f64 l l)`	overflow	59
`-.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	32	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	26	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	26
↳	`(.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	21
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	underflow	49
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	underflow	21
↳	`(*.f64 t t)`	underflow	49
↳	`(*.f64 l l)`	underflow	154

Confusion

	Predicted +	Predicted -
+	172	1
-	0	83

Precision

1.0

Recall

0.9942196531791907

Confusion?

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

Precision?

1.0

Recall?

0.9942196531791907

Freqs

test

number	freq
0	84
1	134
2	38

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms	336×	0	valid
38.0ms	170×	1	valid
2.0ms	6×	2	valid

Compiler

Compiled 326 to 76 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 18.0ms (32.8% of total)

ival-sqrt: 9.0ms (16.4% of total)

ival-div: 8.0ms (14.6% of total)

ival-sub: 7.0ms (12.8% of total)

ival-add: 7.0ms (12.8% of total)

adjust: 5.0ms (9.1% of total)

exact: 1.0ms (1.8% of total)

ival-true: 1.0ms (1.8% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.1%	(/.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

▶

34.1%

(/.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)

simplify441.0ms (3.3%)

Memory

34.9MiB live, 825.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

25 302×	`lower-fma.f64`
25 302×	`lower-fma.f32`
4 556×	`lower-*.f32`
4 546×	`lower-*.f64`
2 076×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	131
0	31	131
1	58	131
2	113	131
3	212	131
4	437	131
5	990	131
6	2266	131
7	5077	131
0	8183	126

Stop Event

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

Calls

Call 1

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

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

localize88.0ms (0.7%)

Memory

-10.3MiB live, 107.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
✓	accuracy	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	accuracy	69.3%	(-.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	56.1%	(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

31.0ms	85×	1	valid
20.0ms	168×	0	valid
1.0ms	3×	2	valid

Compiler

Compiled 133 to 20 computations (85% saved)

Precisions

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

ival-add: 16.0ms (41.2% of total)

ival-mult: 8.0ms (20.6% of total)

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

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

ival-sub: 3.0ms (7.7% 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)

series82.0ms (0.6%)

Memory

0.8MiB live, 87.5MiB allocated

Counts

6 → 144

Calls

Call 1

Inputs
#<alt (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))>
#<alt (/.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))))>
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (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)))>
#<alt (-.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))>

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

Calls

36 calls:

Time	Variable		Point	Expression
18.0ms	x	@	0	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
17.0ms	x	@	-inf	(sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
5.0ms	x	@	-inf	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
4.0ms	t	@	0	(- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))
4.0ms	x	@	inf	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))

rewrite670.0ms (5%)

Memory

-39.4MiB live, 656.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

13 380×	`lower-fma.f64`
13 380×	`lower-fma.f32`
6 638×	`lower-*.f32`
6 628×	`lower-*.f64`
3 164×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	85
0	31	85
1	116	85
2	928	84
0	8797	80

Stop Event

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

Counts

6 → 417

Calls

Call 1

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

Outputs
(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (*.f64 l l))
(+.f64 (/.f64 (.f64 l (.f64 l (.f64 l l))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 t (*.f64 t #s(literal -2 binary64)))))))
(-.f64 (/.f64 (.f64 l (.f64 l (.f64 l l))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 t (*.f64 t #s(literal -2 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (/.f64 (.f64 l (.f64 l (.f64 l l))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (*.f64 l l))))
(fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))
(fma.f64 l (.f64 l #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (*.f64 t t)))
(fma.f64 (.f64 l l) #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 t t)))
(fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) #s(literal 1 binary64)) (*.f64 l l))
(fma.f64 t (.f64 #s(literal 2 binary64) t) (.f64 l l))
(fma.f64 t (.f64 (.f64 #s(literal 2 binary64) t) #s(literal 1 binary64)) (*.f64 l l))
(fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) #s(literal 1 binary64) (*.f64 l l))
(fma.f64 #s(literal 1 binary64) (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 t t)) (*.f64 l l))
(fma.f64 (.f64 l (.f64 l (.f64 l l))) (/.f64 #s(literal 1 binary64) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 t (*.f64 t #s(literal -2 binary64)))))))
(fma.f64 (.f64 #s(literal 2 binary64) t) t (.f64 l l))
(fma.f64 (.f64 #s(literal 2 binary64) t) (.f64 t #s(literal 1 binary64)) (*.f64 l l))
(fma.f64 (exp.f64 (log.f64 l)) (exp.f64 (log.f64 l)) (.f64 #s(literal 2 binary64) (.f64 t t)))
(fma.f64 (.f64 #s(literal 1 binary64) l) l (.f64 #s(literal 2 binary64) (*.f64 t t)))
(fma.f64 (.f64 #s(literal 1 binary64) t) (.f64 #s(literal 2 binary64) t) (*.f64 l l))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 t t)) #s(literal 2 binary64) (*.f64 l l))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) t)) t (*.f64 l l))
(neg.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)))) (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 l (.f64 l (.f64 l l)))))))
(neg.f64 (/.f64 (fma.f64 l (.f64 l (.f64 l l)) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal -4 binary64))) (neg.f64 (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64)))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l))))) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 l (.f64 l (.f64 l l))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 l (.f64 l (.f64 l l)) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal -4 binary64)))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (.f64 t (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 (.f64 l l) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64)))))) (fma.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) (.f64 (.f64 l (.f64 l l)) (.f64 l (*.f64 l l))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l)) (-.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 l (.f64 l (.f64 l l))))))
(/.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)))) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 l (.f64 l (.f64 l l)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)))) (fma.f64 t (.f64 t (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 (.f64 l l) (fma.f64 l l (.f64 t (*.f64 t #s(literal -2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)))))
(/.f64 (fma.f64 l (.f64 l (.f64 l l)) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal -4 binary64))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 l (.f64 l (.f64 l l))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l))))) (neg.f64 (fma.f64 t (.f64 t (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 (.f64 l l) (fma.f64 l l (.f64 t (*.f64 t #s(literal -2 binary64))))))))
(/.f64 (neg.f64 (fma.f64 l (.f64 l (.f64 l l)) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal -4 binary64)))) (neg.f64 (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 l (.f64 l (.f64 l l)))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l)))
(/.f64 (-.f64 (.f64 (.f64 l (.f64 l (.f64 l l))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (.f64 (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64)))) (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))))) (.f64 (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64)))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 l (.f64 l (.f64 l l)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 l (.f64 l (.f64 l l)) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal -4 binary64))))) (neg.f64 (neg.f64 (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 l (.f64 l (.f64 l l))))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 l (.f64 l (.f64 l l))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 l (.f64 l (.f64 l l))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (/.f64 (.f64 l (.f64 l (.f64 l l))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (fma.f64 (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (.f64 (/.f64 (.f64 l (.f64 l (.f64 l l))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 t (*.f64 t #s(literal -2 binary64)))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 l (.f64 l (.f64 l l))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (/.f64 (.f64 l (.f64 l (.f64 l l))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64)))))) (.f64 (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))))) (+.f64 (/.f64 (.f64 l (.f64 l (.f64 l l))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 t (*.f64 t #s(literal -2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64)))))))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)))
(.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 l (.f64 l (*.f64 l l))))))
(.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)))) (/.f64 #s(literal 1 binary64) (fma.f64 t (.f64 t (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 (.f64 l l) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))))))
(.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 l (.f64 l (.f64 l l))))) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 l (.f64 l (.f64 l l)))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 l (.f64 l (.f64 l l)))))))
(.f64 (fma.f64 l (.f64 l (.f64 l l)) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 l l (.f64 t (*.f64 t #s(literal -2 binary64))))))
(.f64 (fma.f64 l (.f64 l (.f64 l l)) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal -4 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) #s(literal 1 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 l (.f64 l (*.f64 l l)))))))
(.f64 (neg.f64 (fma.f64 l (.f64 l (.f64 l l)) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 l l (.f64 t (*.f64 t #s(literal -2 binary64)))))))
(.f64 (-.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 l (.f64 l (.f64 l l)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (*.f64 l l))))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))) #s(literal 2 binary64))) t)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l)))))) (neg.f64 (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l))))))))
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simplify475.0ms (3.5%)

Memory

22.4MiB live, 735.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 416×	`lower-fma.f64`
10 416×	`lower-fma.f32`
9 668×	`lower-*.f64`
9 668×	`lower-*.f32`
3 974×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval111.0ms (0.8%)

Memory: -1.6MiB live, 150.5MiB allocated
Compiler: Compiled 33 771 to 2 339 computations (93.1% saved)

prune94.0ms (0.7%)

Memory

3.3MiB live, 201.8MiB allocated

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	540	21	561
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	541	21	562

Accuracy

91.5%

Counts

562 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
▶	79.3%	(/.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))))))
	60.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 t (fma.f64 (/.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))) (.f64 t (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))))
	77.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
	4.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
	28.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (neg.f64 (.f64 l l)))))
	9.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (neg.f64 (.f64 l l)))))
	11.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (neg.f64 (*.f64 l l)))))
	28.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (neg.f64 (*.f64 l l)))))
	34.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l) l (fma.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l))))))
▶	2.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l)))))
	31.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
	50.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (*.f64 l l) x))) (neg.f64 x)))))
	50.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x)) (fma.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x))) x)) x))))
▶	50.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x))))
	41.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (.f64 (*.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))))
▶	3.9%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (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))))))
	78.1%	(.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))))
	6.4%	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l)))))
▶	75.9%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
	33.8%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))))

Compiler

Compiled 1 292 to 736 computations (43% saved)

simplify271.0ms (2%)

Memory

24.8MiB live, 501.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x))))
✓	cost-diff	192	(fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (*.f64 l l) x))
✓	cost-diff	320	(+.f64 (/.f64 (.f64 t t) x) (.f64 t t))
✓	cost-diff	0	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l)
✓	cost-diff	0	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (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))))))
✓	cost-diff	896	(+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
✓	cost-diff	0	(sqrt.f64 #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 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l)))))
✓	cost-diff	448	(fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l)))
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	cost-diff	2240	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))

Rules

8 042×	`lower-fma.f32`
8 036×	`lower-fma.f64`
4 362×	`lower-*.f32`
4 348×	`lower-*.f64`
2 028×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	424
0	78	424
1	144	400
2	284	400
3	506	400
4	831	400
5	3376	400
6	3975	400
7	5139	384
8	7427	384
0	8140	378

Stop Event

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

Calls

Call 1

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

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

localize302.0ms (2.2%)

Memory

-8.0MiB live, 551.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	93.3%	(/.f64 (*.f64 t t) x)
✓	accuracy	91.2%	(/.f64 (*.f64 l l) x)
✓	accuracy	86.8%	(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)
✓	accuracy	73.2%	(sqrt.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x)))
✓	accuracy	99.8%	(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l)
✓	accuracy	99.6%	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	97.6%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (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))))))
✓	accuracy	45.6%	(+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
✓	accuracy	99.6%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	accuracy	96.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l)))))
✓	accuracy	80.4%	(sqrt.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))
✓	accuracy	65.0%	(fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	99.1%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(/.f64 (.f64 (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	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	99.6%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	accuracy	99.6%	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))

Samples

108.0ms	85×	1	valid
47.0ms	81×	1	invalid
45.0ms	54×	2	valid
7.0ms	6×	3	valid
6.0ms	20×	0	invalid
4.0ms	10×	0	valid

Compiler

Compiled 438 to 46 computations (89.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-div: 32.0ms (28.7% of total)

ival-mult: 22.0ms (19.7% of total)

ival-add: 21.0ms (18.8% of total)

adjust: 17.0ms (15.2% of total)

ival-sqrt: 17.0ms (15.2% of total)

ival-neg: 2.0ms (1.8% of total)

exact: 1.0ms (0.9% of total)

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

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

series88.0ms (0.7%)

Memory

14.8MiB live, 131.5MiB allocated

Counts

20 → 444

Calls

Call 1

Inputs
#<alt (/.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))))))>
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))>
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l)))>
#<alt (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l)))))>
#<alt (+.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)))>
#<alt (.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (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))))))>
#<alt (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l)>
#<alt (*.f64 t (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (/.f64 (.f64 t t) x) (.f64 t t))>
#<alt (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (*.f64 l l) x))>
#<alt (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x))))>
#<alt (sqrt.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))>
#<alt (sqrt.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x)))>
#<alt (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)>
#<alt (/.f64 (*.f64 l l) x)>
#<alt (/.f64 (*.f64 t t) 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 (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (- (* -1 (pow l 2)) (pow l 2))>
#<alt (- (+ (* -1 (pow l 2)) (* x (- (* -1 (pow l 2)) (pow l 2)))) (pow l 2))>
#<alt (- (+ (* -1 (pow l 2)) (* x (- (+ (* -1 (pow l 2)) (* x (- (* -1 (pow l 2)) (pow l 2)))) (pow l 2)))) (pow l 2))>
#<alt (- (+ (* -1 (pow l 2)) (* x (- (+ (* -1 (pow l 2)) (* x (- (* x (- (* -1 (pow l 2)) (pow l 2))) (* -1 (- (* -1 (pow l 2)) (pow l 2)))))) (pow l 2)))) (pow l 2))>
#<alt (/ (- (pow l 2) (* -1 (pow l 2))) x)>
#<alt (/ (- (+ (/ (pow l 2) x) (pow l 2)) (+ (* -1 (/ (pow l 2) x)) (* -1 (pow l 2)))) x)>
#<alt (/ (- (+ (/ (pow l 2) (pow x 2)) (pow l 2)) (+ (* -1 (/ (- (pow l 2) (* -1 (pow l 2))) x)) (+ (* -1 (/ (pow l 2) (pow x 2))) (* -1 (pow l 2))))) x)>
#<alt (/ (- (+ (/ (pow l 2) (pow x 3)) (pow l 2)) (+ (* -1 (/ (- (pow l 2) (* -1 (pow l 2))) x)) (+ (* -1 (/ (- (pow l 2) (* -1 (pow l 2))) (pow x 2))) (+ (* -1 (/ (pow l 2) (pow x 3))) (* -1 (pow l 2)))))) x)>
#<alt (/ (- (pow l 2) (* -1 (pow l 2))) x)>
#<alt (* -1 (/ (- (+ (* -1 (- (pow l 2) (* -1 (pow l 2)))) (* -1 (/ (pow l 2) x))) (/ (pow l 2) x)) x))>
#<alt (* -1 (/ (+ (* -1 (- (pow l 2) (* -1 (pow l 2)))) (* -1 (/ (- (+ (* -1 (- (* -1 (pow l 2)) (pow l 2))) (/ (pow l 2) x)) (* -1 (/ (pow l 2) x))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (- (pow l 2) (* -1 (pow l 2)))) (* -1 (/ (+ (* -1 (- (* -1 (pow l 2)) (pow l 2))) (* -1 (/ (- (+ (* -1 (- (pow l 2) (* -1 (pow l 2)))) (* -1 (/ (pow l 2) x))) (/ (pow l 2) x)) x))) x))) x))>
#<alt (* (* t (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)))))>
#<alt (* (* t (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)))))>
#<alt (* (* t (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)))))>
#<alt (* (* t (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)))))>
#<alt (* (* t (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)))))>
#<alt (* (* t (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)))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))>
#<alt (* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))>
#<alt (* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))>
#<alt (* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))))>
#<alt (+ (* -1/2 (* (* t (* x (sqrt 2))) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2))))))>
#<alt (+ (* x (+ (* -1/2 (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))))) (* -1/8 (* (* t (* x (sqrt 2))) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2))))))>
#<alt (+ (* x (+ (* -1/2 (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))))) (* x (+ (* -1/8 (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))))) (* -1/16 (* (* t (* x (sqrt 2))) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2))))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ x (- (pow l 2) (* -1 (pow l 2))))))>
#<alt (* x (+ (* -1/2 (* (* t (sqrt 2)) (sqrt (/ 1 (* (pow x 3) (- (pow l 2) (* -1 (pow l 2)))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (* x (- (pow l 2) (* -1 (pow l 2)))))))))>
#<alt (* x (+ (* -1/2 (* (* t (sqrt 2)) (sqrt (/ 1 (* (pow x 3) (- (pow l 2) (* -1 (pow l 2)))))))) (+ (* -1/8 (* (* t (sqrt 2)) (sqrt (/ 1 (* (pow x 5) (- (pow l 2) (* -1 (pow l 2)))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (* x (- (pow l 2) (* -1 (pow l 2))))))))))>
#<alt (* x (+ (* -1/2 (* (* t (sqrt 2)) (sqrt (/ 1 (* (pow x 3) (- (pow l 2) (* -1 (pow l 2)))))))) (+ (* -1/8 (* (* t (sqrt 2)) (sqrt (/ 1 (* (pow x 5) (- (pow l 2) (* -1 (pow l 2)))))))) (+ (* -1/16 (* (* t (sqrt 2)) (sqrt (/ 1 (* (pow x 7) (- (pow l 2) (* -1 (pow l 2)))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (* x (- (pow l 2) (* -1 (pow l 2)))))))))))>
#<alt (* -1 (* (* t (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (/ x (- (pow l 2) (* -1 (pow l 2)))))))>
#<alt (* -1 (* x (+ (* 1/2 (* (* t (* (sqrt 2) (- (* -1 (pow l 2)) (pow l 2)))) (sqrt (/ 1 (* (pow x 3) (pow (- (pow l 2) (* -1 (pow l 2))) 3)))))) (* (* t (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (/ 1 (* x (- (pow l 2) (* -1 (pow l 2))))))))))>
#<alt (* -1 (* x (+ (* -1/2 (* (* t (* (sqrt 2) (- (/ 1 (- (pow l 2) (* -1 (pow l 2)))) (/ (pow (- (* -1 (pow l 2)) (pow l 2)) 2) (pow (- (pow l 2) (* -1 (pow l 2))) 3))))) (sqrt (/ (- (pow l 2) (* -1 (pow l 2))) (pow x 5))))) (+ (* 1/2 (* (* t (* (sqrt 2) (- (* -1 (pow l 2)) (pow l 2)))) (sqrt (/ 1 (* (pow x 3) (pow (- (pow l 2) (* -1 (pow l 2))) 3)))))) (* (* t (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (/ 1 (* x (- (pow l 2) (* -1 (pow l 2)))))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (* t (* (sqrt 2) (- (/ (pow l 2) (pow (- (pow l 2) (* -1 (pow l 2))) 2)) (+ (* -1 (/ (- (* -1 (pow l 2)) (pow l 2)) (pow (- (pow l 2) (* -1 (pow l 2))) 2))) (+ (* -1 (/ (pow l 2) (pow (- (pow l 2) (* -1 (pow l 2))) 2))) (+ (* -1/4 (/ (* x (pow (- (* -1 (pow l 2)) (pow l 2)) 2)) (* (pow (sqrt -1) 2) (pow (- (pow l 2) (* -1 (pow l 2))) 3)))) (/ (* (- (* -1 (pow l 2)) (pow l 2)) (- (/ 1 (- (pow l 2) (* -1 (pow l 2)))) (/ (pow (- (* -1 (pow l 2)) (pow l 2)) 2) (pow (- (pow l 2) (* -1 (pow l 2))) 3)))) (- (pow l 2) (* -1 (pow l 2)))))))))) (sqrt (/ (- (pow l 2) (* -1 (pow l 2))) x)))) (* 1/2 (* (* t (* (sqrt 2) (- (/ 1 (- (pow l 2) (* -1 (pow l 2)))) (/ (pow (- (* -1 (pow l 2)) (pow l 2)) 2) (pow (- (pow l 2) (* -1 (pow l 2))) 3))))) (sqrt (* x (- (pow l 2) (* -1 (pow l 2)))))))) (pow x 3))) (+ (* 1/2 (* (* t (* (sqrt 2) (- (* -1 (pow l 2)) (pow l 2)))) (sqrt (/ 1 (* (pow x 3) (pow (- (pow l 2) (* -1 (pow l 2))) 3)))))) (* (* t (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (/ 1 (* x (- (pow l 2) (* -1 (pow l 2)))))))))))>
#<alt -2>
#<alt (- (* -2 x) 2)>
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#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>
#<alt (/ (pow t 2) x)>

Calls

111 calls:

Time	Variable		Point	Expression
10.0ms	x	@	inf	(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (+ (/ x (+ x -1)) (+ (/ 1 (+ x -1)) -1)))))
6.0ms	t	@	0	(/ (* (sqrt 2) t) (sqrt (+ (* (* l l) (/ (+ 1 x) (+ x -1))) (neg (* l l)))))
4.0ms	x	@	0	(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (+ (/ x (+ x -1)) (+ (/ 1 (+ x -1)) -1)))))
3.0ms	x	@	-inf	(/ (* (sqrt 2) t) (sqrt (+ (* (* l l) (/ (+ 1 x) (+ x -1))) (neg (* l l)))))
3.0ms	t	@	0	(/ (* (sqrt 2) t) (sqrt (+ (+ (* 2 (+ (/ (* t t) x) (* t t))) (/ (* l l) x)) (/ (+ (* 2 (* t t)) (* l l)) x))))

rewrite334.0ms (2.5%)

Memory

-10.6MiB live, 471.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 616×	`lower-/.f32`
4 594×	`lower-/.f64`
3 342×	`lower-*.f32`
3 330×	`lower-*.f64`
2 904×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	248
0	78	244
1	330	211
2	2908	207
0	8573	205

Stop Event

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

Counts

20 → 573

Calls

Call 1

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

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

simplify422.0ms (3.1%)

Memory

3.2MiB live, 628.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 590×	`lower-fma.f64`
7 590×	`lower-fma.f32`
7 200×	`lower-*.f64`
7 200×	`lower-*.f32`
5 070×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1055	11625
1	3471	10488
0	8775	10155

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

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

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

eval153.0ms (1.1%)

Memory: 42.2MiB live, 298.1MiB allocated
Compiler: Compiled 42 045 to 3 468 computations (91.8% saved)

prune150.0ms (1.1%)

Memory

-41.7MiB live, 330.0MiB allocated

Pruning

36 alts after pruning (35 fresh and 1 done)

	Pruned	Kept	Total
New	1 059	35	1 094
Fresh	16	0	16
Picked	4	1	5
Done	0	0	0
Total	1 079	36	1 115

Accuracy

99.4%

Counts

1 115 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.1%	(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 1 binary64)) (*.f64 l (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
	21.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) (.f64 (.f64 t t) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))) (.f64 (sqrt.f64 #s(literal 2 binary64)) l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) l))))
	21.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
	20.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) (/.f64 (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 l l)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
	11.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (+.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))))))
	2.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (.f64 l (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))) l (neg.f64 (*.f64 l l)))))
	2.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 l l)) (neg.f64 (.f64 l l)))))
	13.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (.f64 #s(literal 2 binary64) (*.f64 l l)) x)))
	45.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x))))
▶	21.6%	(/.f64 (.f64 t (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 x))) l)
	4.1%	(/.f64 (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))) l)
	3.9%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 l (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
	79.3%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
	78.5%	(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x))
	77.8%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
	3.3%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))))
	7.1%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
	7.1%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))))
	20.3%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (neg.f64 x)) #s(literal -2 binary64)) (neg.f64 x)))))
	20.2%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) x))))
	20.3%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (/.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x)))) x))))
	20.0%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
	19.5%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
▶	4.0%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
	11.4%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))))))
	20.2%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) (neg.f64 x)) #s(literal -2 binary64)) x)))))
	39.9%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
	79.1%	(.f64 (/.f64 #s(literal 1 binary64) t) (.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
	39.9%	(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
✓	75.9%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
	16.6%	(.f64 x (fma.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 (/.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
	13.2%	(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 x (.f64 #s(literal 2 binary64) (.f64 l l))))))
▶	49.1%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t (+.f64 t (/.f64 t x))) (.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 l l (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l))))))))
	3.5%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (.f64 l (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) l (neg.f64 l))))))
▶	79.3%	(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
▶	77.0%	#s(literal 1 binary64)

Compiler

Compiled 1 584 to 1 056 computations (33.3% saved)

simplify246.0ms (1.8%)

Memory

31.7MiB live, 218.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	256	(fma.f64 l l (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 l l (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l))))
✓	cost-diff	320	(/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t (+.f64 t (/.f64 t x))) (.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 l l (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))))))
✓	cost-diff	1024	(fma.f64 #s(literal 2 binary64) (.f64 t (+.f64 t (/.f64 t x))) (.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 l l (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)))))
✓	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))) l)
✓	cost-diff	0	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 x))
✓	cost-diff	0	(.f64 t (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 x)))
✓	cost-diff	0	(/.f64 (.f64 t (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 x))) l)
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))

Rules

6 508×	`lower-fma.f32`
6 502×	`lower-fma.f64`
1 442×	`lower-*.f32`
1 422×	`lower-*.f64`
1 310×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	322
0	73	322
1	119	312
2	233	312
3	488	300
4	799	292
5	1219	278
6	1493	278
7	1792	278
8	2818	278
9	3293	278
10	3420	278
11	3721	278
12	3830	278
13	3855	278
14	4110	278
15	4112	278
16	4112	278
17	4112	278
18	4112	278
0	4112	272

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize244.0ms (1.8%)

Memory

-28.1MiB live, 300.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t (+.f64 t (/.f64 t x))) (.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 l l (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l))))))))
✓	accuracy	99.2%	(/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t (+.f64 t (/.f64 t x))) (.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 l l (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))))))
✓	accuracy	86.8%	(.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 l l (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l))))
✓	accuracy	73.7%	(sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t (+.f64 t (/.f64 t x))) (.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 l l (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)))))))
✓	accuracy	99.8%	(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l)
✓	accuracy	99.6%	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	97.6%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
✓	accuracy	45.6%	(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	99.7%	(.f64 t (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 x)))
✓	accuracy	99.1%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
✓	accuracy	96.5%	(/.f64 (.f64 t (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 x))) l)
✓	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

77.0ms	60×	2	valid
45.0ms	84×	1	valid
32.0ms	101×	0	invalid
3.0ms	11×	0	valid

Compiler

Compiled 341 to 43 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-sqrt: 57.0ms (45.8% of total)

ival-mult: 19.0ms (15.3% of total)

ival-div: 18.0ms (14.5% of total)

adjust: 15.0ms (12.1% of total)

ival-add: 15.0ms (12.1% of total)

exact: 1.0ms (0.8% of total)

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

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

series72.0ms (0.5%)

Memory

31.6MiB live, 112.4MiB allocated

Counts

20 → 408

Calls

Call 1

Inputs
#<alt (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))>
#<alt (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 x #s(literal -1 binary64))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (/.f64 (.f64 t (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 x))) l)>
#<alt (.f64 t (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 x)))>
#<alt (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 x))>
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))>
#<alt (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l)>
#<alt (*.f64 t (sqrt.f64 #s(literal 2 binary64)))>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (fma.f64 #s(literal 2 binary64) (.f64 t (+.f64 t (/.f64 t x))) (.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 l l (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)))))>
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t (+.f64 t (/.f64 t x))) (.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 l l (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 l l (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l))))>
#<alt (fma.f64 l l (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))>
#<alt (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t (+.f64 t (/.f64 t x))) (.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 l l (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)))))))>
#<alt (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t (+.f64 t (/.f64 t x))) (.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 l l (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 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 (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 (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* -1 (* (/ (* t (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))) l) (sqrt x)))>
#<alt (* -1 (* (/ (* t (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))) l) (sqrt x)))>
#<alt (* -1 (* (/ (* t (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))) l) (sqrt x)))>
#<alt (* -1 (* (/ (* t (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))) l) (sqrt x)))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))>
#<alt (* -1 (* (* t (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))) (sqrt x)))>
#<alt (* -1 (* (* t (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))) (sqrt x)))>
#<alt (* -1 (* (* t (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))) (sqrt x)))>
#<alt (* -1 (* (* t (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))) (sqrt x)))>
#<alt (* (sqrt x) (* (sqrt 1/2) (sqrt 2)))>
#<alt (* (sqrt x) (* (sqrt 1/2) (sqrt 2)))>
#<alt (* (sqrt x) (* (sqrt 1/2) (sqrt 2)))>
#<alt (* (sqrt x) (* (sqrt 1/2) (sqrt 2)))>
#<alt (* (sqrt x) (* (sqrt 1/2) (sqrt 2)))>
#<alt (* (sqrt x) (* (sqrt 1/2) (sqrt 2)))>
#<alt (* (sqrt x) (* (sqrt 1/2) (sqrt 2)))>
#<alt (* (sqrt x) (* (sqrt 1/2) (sqrt 2)))>
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))))>
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#<alt (+ (* (* t (sqrt 2)) (sqrt (/ x (+ (* 2 (pow l 2)) (* 4 (pow t 2)))))) (* (pow x 2) (+ (* -1 (* (* (pow t 3) (sqrt 2)) (sqrt (/ 1 (* x (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 3)))))) (* x (+ (* -1/2 (* (* t (* (sqrt 2) (+ (* 8 (/ (pow t 6) (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 4))) (/ (pow t 4) (* x (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 3)))))) (sqrt (* x (+ (* 2 (pow l 2)) (* 4 (pow t 2))))))) (* 2 (* (* (pow t 5) (sqrt 2)) (sqrt (/ 1 (* x (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 5)))))))))))>
#<alt (* (sqrt 1/2) (sqrt 2))>
#<alt (+ (* -1/8 (/ (* (sqrt 2) (+ (* 2 (pow l 2)) (* 4 (pow t 2)))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2)))>
#<alt (+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 2) (pow t 6))) (* 1/64 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 2) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (* (pow x 2) (sqrt 1/2)))) (+ (* -1/8 (/ (* (sqrt 2) (+ (* 2 (pow l 2)) (* 4 (pow t 2)))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2))))>
#<alt (+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 2) (pow t 6))) (* 1/64 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 2) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (* (pow x 2) (sqrt 1/2)))) (+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* 1/16 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 3) (pow t 8))) (* 1/8 (/ (* (+ (* -1/8 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 2) (pow t 6))) (* 1/64 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 2) (* (pow t 6) (pow (sqrt 1/2) 2))))) (+ (* 2 (pow l 2)) (* 4 (pow t 2)))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (* (pow x 3) (sqrt 1/2)))) (+ (* -1/8 (/ (* (sqrt 2) (+ (* 2 (pow l 2)) (* 4 (pow t 2)))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2)))))>
#<alt (* (sqrt 1/2) (sqrt 2))>
#<alt (+ (* 1/8 (/ (* (sqrt 2) (+ (* -2 (pow t 2)) (* -1 (+ (* 2 (pow l 2)) (* 2 (pow t 2)))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (/ (* (sqrt 2) (+ (* -2 (pow t 2)) (* -1 (+ (* 2 (pow l 2)) (* 2 (pow t 2)))))) (* (pow t 2) (sqrt 1/2)))) (* 1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (pow (+ (* -2 (pow t 2)) (* -1 (+ (* 2 (pow l 2)) (* 2 (pow t 2))))) 2) (pow t 6))) (* 1/64 (/ (pow (+ (* -2 (pow t 2)) (* -1 (+ (* 2 (pow l 2)) (* 2 (pow t 2))))) 2) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (* x (sqrt 1/2))))) x)) (* (sqrt 1/2) (sqrt 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (pow (+ (* -2 (pow t 2)) (* -1 (+ (* 2 (pow l 2)) (* 2 (pow t 2))))) 2) (pow t 6))) (* 1/64 (/ (pow (+ (* -2 (pow t 2)) (* -1 (+ (* 2 (pow l 2)) (* 2 (pow t 2))))) 2) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2))) (* 1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* 1/16 (/ (pow (+ (* -2 (pow t 2)) (* -1 (+ (* 2 (pow l 2)) (* 2 (pow t 2))))) 3) (pow t 8))) (* 1/8 (/ (* (+ (* -2 (pow t 2)) (* -1 (+ (* 2 (pow l 2)) (* 2 (pow t 2))))) (+ (* -1/8 (/ (pow (+ (* -2 (pow t 2)) (* -1 (+ (* 2 (pow l 2)) (* 2 (pow t 2))))) 2) (pow t 6))) (* 1/64 (/ (pow (+ (* -2 (pow t 2)) (* -1 (+ (* 2 (pow l 2)) (* 2 (pow t 2))))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (* x (sqrt 1/2))))) x)) (* -1/8 (/ (* (sqrt 2) (+ (* -2 (pow t 2)) (* -1 (+ (* 2 (pow l 2)) (* 2 (pow t 2)))))) (* (pow t 2) (sqrt 1/2))))) x)) (* (sqrt 1/2) (sqrt 2)))>
#<alt (* (* t (sqrt 2)) (sqrt (/ 1 (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))))))>
#<alt (+ (* -1 (* (/ (* (pow l 2) (* t (sqrt 2))) x) (sqrt (/ 1 (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 3))))) (* (* t (sqrt 2)) (sqrt (/ 1 (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x)))))))>
#<alt (+ (* (* t (sqrt 2)) (sqrt (/ 1 (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x)))))) (* (pow l 2) (+ (* -1 (* (/ (* t (sqrt 2)) x) (sqrt (/ 1 (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 3))))) (* 3/2 (* (/ (* (pow l 2) (* t (sqrt 2))) (pow x 2)) (sqrt (/ 1 (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 5))))))))>
#<alt (+ (* (* t (sqrt 2)) (sqrt (/ 1 (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x)))))) (* (pow l 2) (+ (* -1 (* (/ (* t (sqrt 2)) x) (sqrt (/ 1 (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 3))))) (* (pow l 2) (+ (* -5/2 (* (/ (* (pow l 2) (* t (sqrt 2))) (pow x 3)) (sqrt (/ 1 (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 7))))) (* 3/2 (* (/ (* t (sqrt 2)) (pow x 2)) (sqrt (/ 1 (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 5))))))))))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (/ (+ (* -1/8 (* (/ (* t (* (sqrt 2) (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))))) (* (pow l 2) (sqrt 1/2))) (sqrt (pow x 3)))) (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))) l)>
#<alt (/ (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -1/8 (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2))) (* 1/64 (/ (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2)) (pow (sqrt 1/2) 2)))))) (* (pow l 4) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/8 (* (/ (* t (* (sqrt 2) (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))))) (* (pow l 2) (sqrt 1/2))) (sqrt (pow x 3)))) (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x)))) l)>
#<alt (/ (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -1/8 (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2))) (* 1/64 (/ (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2)) (pow (sqrt 1/2) 2)))))) (* (pow l 4) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* 1/16 (* (pow x 4) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 3))) (* 1/8 (/ (* x (* (+ (* -1/8 (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2))) (* 1/64 (/ (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2)) (pow (sqrt 1/2) 2)))) (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))))) (pow (sqrt 1/2) 2)))))) (* (pow l 6) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/8 (* (/ (* t (* (sqrt 2) (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))))) (* (pow l 2) (sqrt 1/2))) (sqrt (pow x 3)))) (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))))) l)>
#<alt (* -1 (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x)))>
#<alt (* -1 (/ (+ (* -1/8 (* (/ (* t (* (sqrt 2) (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))))) (* (pow l 2) (sqrt 1/2))) (sqrt (pow x 3)))) (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))) l))>
#<alt (* -1 (/ (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -1/8 (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2))) (* 1/64 (/ (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2)) (pow (sqrt 1/2) 2)))))) (* (pow l 4) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/8 (* (/ (* t (* (sqrt 2) (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))))) (* (pow l 2) (sqrt 1/2))) (sqrt (pow x 3)))) (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x)))) l))>
#<alt (* -1 (/ (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -1/8 (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2))) (* 1/64 (/ (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2)) (pow (sqrt 1/2) 2)))))) (* (pow l 4) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* 1/16 (* (pow x 4) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 3))) (* 1/8 (/ (* x (* (+ (* -1/8 (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2))) (* 1/64 (/ (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2)) (pow (sqrt 1/2) 2)))) (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))))) (pow (sqrt 1/2) 2)))))) (* (pow l 6) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/8 (* (/ (* t (* (sqrt 2) (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))))) (* (pow l 2) (sqrt 1/2))) (sqrt (pow x 3)))) (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))))) l))>

Calls

102 calls:

Time	Variable		Point	Expression
17.0ms	t	@	inf	(/ 2 (+ (* 2 (* t (+ t (/ t x)))) (* (/ 1 x) (+ (* l l) (+ (* 2 (* t t)) (* l l))))))
7.0ms	x	@	0	(sqrt (/ 2 (+ (* 2 (* t (+ t (/ t x)))) (* (/ 1 x) (+ (* l l) (+ (* 2 (* t t)) (* l l)))))))
2.0ms	x	@	inf	(sqrt (/ 2 (+ (* 2 (* t (+ t (/ t x)))) (* (/ 1 x) (+ (* l l) (+ (* 2 (* t t)) (* l l)))))))
2.0ms	l	@	inf	(sqrt (/ 2 (+ (* 2 (* t (+ t (/ t x)))) (* (/ 1 x) (+ (* l l) (+ (* 2 (* t t)) (* l l)))))))
2.0ms	x	@	-inf	(sqrt (/ 2 (+ (* 2 (* t (+ t (/ t x)))) (* (/ 1 x) (+ (* l l) (+ (* 2 (* t t)) (* l l)))))))

rewrite310.0ms (2.3%)

Memory

-42.1MiB live, 449.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 640×	`lower-/.f32`
4 624×	`lower-/.f64`
4 082×	`lower-*.f32`
4 064×	`lower-*.f64`
2 404×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	230
0	73	214
1	277	196
2	2102	196
0	8341	196

Stop Event

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

Counts

20 → 794

Calls

Call 1

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

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

simplify437.0ms (3.3%)

Memory

18.4MiB live, 558.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 896×	`lower-*.f64`
6 896×	`lower-*.f32`
5 468×	`lower-fma.f64`
5 468×	`lower-fma.f32`
4 376×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	907	12014
1	3010	11371
0	8586	10939

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 404

Calls

Call 1

Inputs
(sqrt -1)
(+ (sqrt -1) (/ x (sqrt -1)))
(+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))
(+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1)))))
1
(- 1 (/ 1 x))
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))
(pow (sqrt -1) 2)
(+ (/ 1 x) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) x)) 1) x)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) x))) x)) 1) x)) (pow (sqrt -1) 2))
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(+ (* -1 (* (sqrt 2) (sqrt (/ 1 (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x))))))) (* (/ (* (pow l 2) (sqrt 2)) (* (pow t 2) x)) (sqrt (/ 1 (pow (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x))) 3)))))
(+ (* -1 (* (sqrt 2) (sqrt (/ 1 (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x))))))) (+ (* 1/2 (* (/ (* (sqrt 2) (+ (* -4 (/ (pow l 4) (* (pow x 2) (pow (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x))) 3)))) (/ (pow l 4) (* (pow x 2) (pow (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x))) 3))))) (pow t 4)) (sqrt (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x)))))) (* (/ (* (pow l 2) (sqrt 2)) (* (pow t 2) x)) (sqrt (/ 1 (pow (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x))) 3))))))
(+ (* -1 (* (sqrt 2) (sqrt (/ 1 (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x))))))) (+ (* 1/2 (* (/ (* (sqrt 2) (+ (* -4 (/ (pow l 4) (* (pow x 2) (pow (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x))) 3)))) (/ (pow l 4) (* (pow x 2) (pow (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x))) 3))))) (pow t 4)) (sqrt (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x)))))) (+ (* 1/2 (* (/ (* (sqrt 2) (+ (* 8 (/ (pow l 6) (* (pow x 3) (pow (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x))) 4)))) (/ (* (pow l 2) (+ (* -4 (/ (pow l 4) (* (pow x 2) (pow (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x))) 3)))) (/ (pow l 4) (* (pow x 2) (pow (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x))) 3))))) (* x (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x))))))) (pow t 6)) (sqrt (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x)))))) (* (/ (* (pow l 2) (sqrt 2)) (* (pow t 2) x)) (sqrt (/ 1 (pow (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x))) 3)))))))
(* (* t (sqrt 2)) (sqrt (/ x (+ (* 2 (pow l 2)) (* 4 (pow t 2))))))
(+ (* -1 (* (* (pow t 3) (sqrt 2)) (sqrt (/ (pow x 3) (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 3))))) (* (* t (sqrt 2)) (sqrt (/ x (+ (* 2 (pow l 2)) (* 4 (pow t 2)))))))
(+ (* (* t (sqrt 2)) (sqrt (/ x (+ (* 2 (pow l 2)) (* 4 (pow t 2)))))) (* (pow x 2) (+ (* -1 (* (* (pow t 3) (sqrt 2)) (sqrt (/ 1 (* x (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 3)))))) (* 2 (* (* (pow t 5) (sqrt 2)) (sqrt (/ x (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 5))))))))
(+ (* (* t (sqrt 2)) (sqrt (/ x (+ (* 2 (pow l 2)) (* 4 (pow t 2)))))) (* (pow x 2) (+ (* -1 (* (* (pow t 3) (sqrt 2)) (sqrt (/ 1 (* x (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 3)))))) (* x (+ (* -1/2 (* (* t (* (sqrt 2) (+ (* 8 (/ (pow t 6) (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 4))) (/ (pow t 4) (* x (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 3)))))) (sqrt (* x (+ (* 2 (pow l 2)) (* 4 (pow t 2))))))) (* 2 (* (* (pow t 5) (sqrt 2)) (sqrt (/ 1 (* x (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 5)))))))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1/8 (/ (* (sqrt 2) (+ (* 2 (pow l 2)) (* 4 (pow t 2)))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 2) (pow t 6))) (* 1/64 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 2) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (* (pow x 2) (sqrt 1/2)))) (+ (* -1/8 (/ (* (sqrt 2) (+ (* 2 (pow l 2)) (* 4 (pow t 2)))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 2) (pow t 6))) (* 1/64 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 2) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (* (pow x 2) (sqrt 1/2)))) (+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* 1/16 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 3) (pow t 8))) (* 1/8 (/ (* (+ (* -1/8 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 2) (pow t 6))) (* 1/64 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 2) (* (pow t 6) (pow (sqrt 1/2) 2))))) (+ (* 2 (pow l 2)) (* 4 (pow t 2)))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (* (pow x 3) (sqrt 1/2)))) (+ (* -1/8 (/ (* (sqrt 2) (+ (* 2 (pow l 2)) (* 4 (pow t 2)))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2)))))
(* (sqrt 1/2) (sqrt 2))
(+ (* 1/8 (/ (* (sqrt 2) (+ (* -2 (pow t 2)) (* -1 (+ (* 2 (pow l 2)) (* 2 (pow t 2)))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (+ (* -1/8 (/ (* (sqrt 2) (+ (* -2 (pow t 2)) (* -1 (+ (* 2 (pow l 2)) (* 2 (pow t 2)))))) (* (pow t 2) (sqrt 1/2)))) (* 1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (pow (+ (* -2 (pow t 2)) (* -1 (+ (* 2 (pow l 2)) (* 2 (pow t 2))))) 2) (pow t 6))) (* 1/64 (/ (pow (+ (* -2 (pow t 2)) (* -1 (+ (* 2 (pow l 2)) (* 2 (pow t 2))))) 2) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (* x (sqrt 1/2))))) x)) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (pow (+ (* -2 (pow t 2)) (* -1 (+ (* 2 (pow l 2)) (* 2 (pow t 2))))) 2) (pow t 6))) (* 1/64 (/ (pow (+ (* -2 (pow t 2)) (* -1 (+ (* 2 (pow l 2)) (* 2 (pow t 2))))) 2) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2))) (* 1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* 1/16 (/ (pow (+ (* -2 (pow t 2)) (* -1 (+ (* 2 (pow l 2)) (* 2 (pow t 2))))) 3) (pow t 8))) (* 1/8 (/ (* (+ (* -2 (pow t 2)) (* -1 (+ (* 2 (pow l 2)) (* 2 (pow t 2))))) (+ (* -1/8 (/ (pow (+ (* -2 (pow t 2)) (* -1 (+ (* 2 (pow l 2)) (* 2 (pow t 2))))) 2) (pow t 6))) (* 1/64 (/ (pow (+ (* -2 (pow t 2)) (* -1 (+ (* 2 (pow l 2)) (* 2 (pow t 2))))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (* x (sqrt 1/2))))) x)) (* -1/8 (/ (* (sqrt 2) (+ (* -2 (pow t 2)) (* -1 (+ (* 2 (pow l 2)) (* 2 (pow t 2)))))) (* (pow t 2) (sqrt 1/2))))) x)) (* (sqrt 1/2) (sqrt 2)))
(* (* t (sqrt 2)) (sqrt (/ 1 (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))))))
(+ (* -1 (* (/ (* (pow l 2) (* t (sqrt 2))) x) (sqrt (/ 1 (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 3))))) (* (* t (sqrt 2)) (sqrt (/ 1 (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x)))))))
(+ (* (* t (sqrt 2)) (sqrt (/ 1 (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x)))))) (* (pow l 2) (+ (* -1 (* (/ (* t (sqrt 2)) x) (sqrt (/ 1 (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 3))))) (* 3/2 (* (/ (* (pow l 2) (* t (sqrt 2))) (pow x 2)) (sqrt (/ 1 (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 5))))))))
(+ (* (* t (sqrt 2)) (sqrt (/ 1 (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x)))))) (* (pow l 2) (+ (* -1 (* (/ (* t (sqrt 2)) x) (sqrt (/ 1 (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 3))))) (* (pow l 2) (+ (* -5/2 (* (/ (* (pow l 2) (* t (sqrt 2))) (pow x 3)) (sqrt (/ 1 (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 7))))) (* 3/2 (* (/ (* t (sqrt 2)) (pow x 2)) (sqrt (/ 1 (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 5))))))))))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(/ (+ (* -1/8 (* (/ (* t (* (sqrt 2) (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))))) (* (pow l 2) (sqrt 1/2))) (sqrt (pow x 3)))) (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))) l)
(/ (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -1/8 (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2))) (* 1/64 (/ (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2)) (pow (sqrt 1/2) 2)))))) (* (pow l 4) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/8 (* (/ (* t (* (sqrt 2) (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))))) (* (pow l 2) (sqrt 1/2))) (sqrt (pow x 3)))) (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x)))) l)
(/ (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -1/8 (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2))) (* 1/64 (/ (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2)) (pow (sqrt 1/2) 2)))))) (* (pow l 4) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* 1/16 (* (pow x 4) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 3))) (* 1/8 (/ (* x (* (+ (* -1/8 (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2))) (* 1/64 (/ (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2)) (pow (sqrt 1/2) 2)))) (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))))) (pow (sqrt 1/2) 2)))))) (* (pow l 6) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/8 (* (/ (* t (* (sqrt 2) (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))))) (* (pow l 2) (sqrt 1/2))) (sqrt (pow x 3)))) (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))))) l)
(* -1 (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x)))
(* -1 (/ (+ (* -1/8 (* (/ (* t (* (sqrt 2) (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))))) (* (pow l 2) (sqrt 1/2))) (sqrt (pow x 3)))) (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))) l))
(* -1 (/ (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -1/8 (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2))) (* 1/64 (/ (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2)) (pow (sqrt 1/2) 2)))))) (* (pow l 4) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/8 (* (/ (* t (* (sqrt 2) (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))))) (* (pow l 2) (sqrt 1/2))) (sqrt (pow x 3)))) (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x)))) l))
(* -1 (/ (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -1/8 (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2))) (* 1/64 (/ (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2)) (pow (sqrt 1/2) 2)))))) (* (pow l 4) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* 1/16 (* (pow x 4) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 3))) (* 1/8 (/ (* x (* (+ (* -1/8 (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2))) (* 1/64 (/ (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2)) (pow (sqrt 1/2) 2)))) (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))))) (pow (sqrt 1/2) 2)))))) (* (pow l 6) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/8 (* (/ (* t (* (sqrt 2) (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))))) (* (pow l 2) (sqrt 1/2))) (sqrt (pow x 3)))) (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))))) l))

Outputs
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ x (sqrt -1)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))
(+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))
(fma.f64 x (fma.f64 x (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
(+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1)))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))
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(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))
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(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))
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(+ (* -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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 0 binary64)) x) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) x))
-1
#s(literal -1 binary64)
(- (* 2 x) 1)
(fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))
(- (* x (+ 2 (* -2 x))) 1)
(fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal -1 binary64))
(- (* x (+ 2 (* x (- (* 2 x) 2)))) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 x)))
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(- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x)))
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(- (+ 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)
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(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))
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(+ 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)))
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(* 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)))
(neg.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)))
(* -1 (* x (- (/ 1 x) 1)))
(neg.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)))
(* -1 (* x (- (/ 1 x) 1)))
(neg.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
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(+ 1 x)
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x
(* x (+ 1 (/ 1 x)))
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(* x (+ 1 (/ 1 x)))
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(* x (+ 1 (/ 1 x)))
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x
(* x (+ 1 (/ 1 x)))
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(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
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(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
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(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 l #s(literal 4 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 l l))) (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)))) l)
(/ (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -1/8 (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2))) (* 1/64 (/ (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2)) (pow (sqrt 1/2) 2)))))) (* (pow l 4) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* 1/16 (* (pow x 4) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 3))) (* 1/8 (/ (* x (* (+ (* -1/8 (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2))) (* 1/64 (/ (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2)) (pow (sqrt 1/2) 2)))) (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))))) (pow (sqrt 1/2) 2)))))) (* (pow l 6) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/8 (* (/ (* t (* (sqrt 2) (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))))) (* (pow l 2) (sqrt 1/2))) (sqrt (pow x 3)))) (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))))) l)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 l #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 x (.f64 (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))))))) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 l #s(literal 6 binary64))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 l l))) (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)))) l)
(* -1 (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x)))
(/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) (neg.f64 l))
(* -1 (/ (+ (* -1/8 (* (/ (* t (* (sqrt 2) (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))))) (* (pow l 2) (sqrt 1/2))) (sqrt (pow x 3)))) (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))) l))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 l l))) (.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))) (neg.f64 l))
(* -1 (/ (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -1/8 (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2))) (* 1/64 (/ (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2)) (pow (sqrt 1/2) 2)))))) (* (pow l 4) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/8 (* (/ (* t (* (sqrt 2) (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))))) (* (pow l 2) (sqrt 1/2))) (sqrt (pow x 3)))) (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x)))) l))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 l #s(literal 4 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 l l))) (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)))) (neg.f64 l))
(* -1 (/ (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -1/8 (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2))) (* 1/64 (/ (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2)) (pow (sqrt 1/2) 2)))))) (* (pow l 4) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* 1/16 (* (pow x 4) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 3))) (* 1/8 (/ (* x (* (+ (* -1/8 (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2))) (* 1/64 (/ (* (pow x 3) (pow (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))) 2)) (pow (sqrt 1/2) 2)))) (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))))) (pow (sqrt 1/2) 2)))))) (* (pow l 6) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/8 (* (/ (* t (* (sqrt 2) (+ (* 2 (* t (+ t (/ t x)))) (* 2 (/ (pow t 2) x))))) (* (pow l 2) (sqrt 1/2))) (sqrt (pow x 3)))) (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))))) l))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 l #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 x (.f64 (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))))))) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 l #s(literal 6 binary64))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 t t) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 l l))) (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)))) (neg.f64 l))

eval213.0ms (1.6%)

Memory: 27.9MiB live, 257.0MiB allocated
Compiler: Compiled 53 631 to 5 063 computations (90.6% saved)

prune174.0ms (1.3%)

Memory

25.6MiB live, 417.9MiB allocated

Pruning

35 alts after pruning (31 fresh and 4 done)

	Pruned	Kept	Total
New	1 232	17	1 249
Fresh	16	14	30
Picked	2	3	5
Done	0	1	1
Total	1 250	35	1 285

Accuracy

99.5%

Counts

1 285 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.1%	(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 1 binary64)) (*.f64 l (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
	21.7%	(/.f64 (*.f64 (sqrt.f64 x) t) l)
	21.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) (.f64 (.f64 t t) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))) (.f64 (sqrt.f64 #s(literal 2 binary64)) l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) l))))
	11.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (+.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))))))
	2.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (.f64 l (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))) l (neg.f64 (*.f64 l l)))))
	2.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 l l)) (neg.f64 (.f64 l l)))))
	21.6%	(/.f64 (*.f64 t (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) l)
	4.1%	(/.f64 (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))) l)
▶	21.6%	(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 t (sqrt.f64 x))))
	3.9%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 l (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
▶	79.3%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
	78.5%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))))
▶	77.8%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
	3.3%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))))
	7.1%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
	7.1%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))))
	20.3%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (neg.f64 x)) #s(literal -2 binary64)) (neg.f64 x)))))
	20.2%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x) #s(literal -2 binary64)) (neg.f64 x)))))
	20.2%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) x))))
	20.3%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (/.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x)))) x))))
	20.0%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
✓	4.0%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
▶	11.4%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (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))))))
	21.7%	(*.f64 (/.f64 (sqrt.f64 x) l) t)
	21.7%	(.f64 (/.f64 #s(literal 1 binary64) l) (.f64 t (sqrt.f64 x)))
	39.9%	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
	19.6%	(*.f64 (sqrt.f64 x) (/.f64 t l))
✓	75.9%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
	13.2%	(.f64 t (sqrt.f64 (/.f64 x (.f64 l l))))
▶	38.8%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x (.f64 t t) (.f64 l l)) (.f64 #s(literal 4 binary64) (*.f64 t t))) x))))
	3.5%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (.f64 l (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) l (neg.f64 l))))))
✓	79.3%	(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
	77.8%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
	39.5%	(sqrt.f64 (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))))
✓	77.0%	#s(literal 1 binary64)

Compiler

Compiled 1 287 to 865 computations (32.8% saved)

simplify33.0ms (0.2%)

Memory

-44.7MiB live, 49.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l)
✓	cost-diff	0	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (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))))))
✓	cost-diff	896	(+.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)))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x (.f64 t t) (.f64 l l)) (.f64 #s(literal 4 binary64) (.f64 t t))) x)))
✓	cost-diff	0	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x (.f64 t t) (.f64 l l)) (.f64 #s(literal 4 binary64) (*.f64 t t))) x))))
✓	cost-diff	320	(fma.f64 #s(literal 2 binary64) (fma.f64 x (.f64 t t) (.f64 l l)) (.f64 #s(literal 4 binary64) (.f64 t t)))
✓	cost-diff	384	(/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x (.f64 t t) (.f64 l l)) (.f64 #s(literal 4 binary64) (.f64 t t))) x))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 t (sqrt.f64 x))
✓	cost-diff	0	(/.f64 l (*.f64 t (sqrt.f64 x)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 t (sqrt.f64 x))))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
✓	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))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))

Rules

428×	`lower-*.f32`
414×	`lower-*.f64`
246×	`lower-fma.f32`
242×	`lower-fma.f64`
204×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	291
0	69	291
1	107	291
2	178	289
3	259	289
4	319	289
5	438	289
6	501	289
7	520	273
8	541	273
9	556	273
10	557	273
0	557	263

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize208.0ms (1.5%)

Memory

26.2MiB live, 291.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l)
✓	accuracy	99.6%	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	97.6%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (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))))))
✓	accuracy	45.6%	(+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
✓	accuracy	99.2%	(/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x (.f64 t t) (.f64 l l)) (.f64 #s(literal 4 binary64) (.f64 t t))) x))
✓	accuracy	95.8%	(fma.f64 x (.f64 t t) (.f64 l l))
✓	accuracy	87.5%	(/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x (.f64 t t) (.f64 l l)) (.f64 #s(literal 4 binary64) (.f64 t t))) x)
✓	accuracy	73.7%	(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x (.f64 t t) (.f64 l l)) (.f64 #s(literal 4 binary64) (.f64 t t))) x)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 t (sqrt.f64 x))))
✓	accuracy	99.7%	(*.f64 t (sqrt.f64 x))
✓	accuracy	96.5%	(/.f64 l (*.f64 t (sqrt.f64 x)))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
✓	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))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))

Samples

74.0ms	144×	1	valid
69.0ms	101×	0	invalid
3.0ms	11×	0	valid

Compiler

Compiled 304 to 41 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-div: 54.0ms (46.1% of total)

ival-add: 29.0ms (24.8% of total)

ival-mult: 14.0ms (12% of total)

ival-sqrt: 11.0ms (9.4% of total)

adjust: 8.0ms (6.8% of total)

exact: 1.0ms (0.9% of total)

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

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

series56.0ms (0.4%)

Memory

-7.5MiB live, 104.2MiB allocated

Counts

22 → 504

Calls

Call 1

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

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

Calls

126 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/ 2 (/ (+ (* 2 (+ (* x (* t t)) (* l l))) (* 4 (* t t))) x))
3.0ms	x	@	-inf	(sqrt (/ 2 (/ (+ (* 2 (+ (* x (* t t)) (* l l))) (* 4 (* t t))) x)))
2.0ms	l	@	inf	(* t (sqrt (/ 2 (/ (+ (* 2 (+ (* x (* t t)) (* l l))) (* 4 (* t t))) x))))
2.0ms	t	@	0	(* t (sqrt (/ 2 (/ (+ (* 2 (+ (* x (* t t)) (* l l))) (* 4 (* t t))) x))))
2.0ms	x	@	-inf	(* t (sqrt (/ 2 (/ (+ (* 2 (+ (* x (* t t)) (* l l))) (* 4 (* t t))) x))))

rewrite279.0ms (2.1%)

Memory

4.8MiB live, 529.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 454×	`lower-*.f32`
4 440×	`lower-*.f64`
4 126×	`lower-/.f32`
4 104×	`lower-/.f64`
2 174×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	213
0	69	213
1	267	200
2	2103	199
0	8241	199

Stop Event

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

Counts

22 → 778

Calls

Call 1

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

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

simplify717.0ms (5.3%)

Memory

-132.9MiB live, 678.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 002×	`lower-*.f64`
7 002×	`lower-*.f32`
5 954×	`lower-fma.f64`
5 954×	`lower-fma.f32`
4 292×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	948	11624
1	3137	10927
0	8692	10302

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 500

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 (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)))
(sqrt -1)
(+ (sqrt -1) (* -1 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (- (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))
(+ (sqrt -1) (* x (- (* x (+ (* -1/2 (/ (* x (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4))))) (sqrt -1))) (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))))) (/ 1 (sqrt -1)))))
1
(+ 1 (/ 1 x))
(+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x)))
(+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3))))))
(pow (sqrt -1) 2)
(- (pow (sqrt -1) 2) (/ 1 x))
(+ (* -1 (/ (+ 1 (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) x))) x)) (pow (sqrt -1) 2))
(+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/2 (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) x))) x))) x)) (pow (sqrt -1) 2))
-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)
(/ (- x 1) x)
(/ (- x 1) x)
(/ (- x 1) x)
1
(- 1 (/ 1 x))
(- 1 (/ 1 x))
(- 1 (/ 1 x))
1
(- 1 (/ 1 x))
(- 1 (/ 1 x))
(- 1 (/ 1 x))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* -1 (* (/ (* t (pow (sqrt -1) 2)) l) (sqrt x)))
(* -1 (* (/ (* t (pow (sqrt -1) 2)) l) (sqrt x)))
(* -1 (* (/ (* t (pow (sqrt -1) 2)) l) (sqrt x)))
(* -1 (* (/ (* t (pow (sqrt -1) 2)) l) (sqrt x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* (/ l t) (sqrt (/ 1 x)))
(* t (sqrt x))
(* t (sqrt x))
(* t (sqrt x))
(* t (sqrt x))
(* t (sqrt x))
(* t (sqrt x))
(* t (sqrt x))
(* t (sqrt x))
(* t (sqrt x))
(* t (sqrt x))
(* t (sqrt x))
(* t (sqrt x))
(* t (sqrt x))
(* t (sqrt x))
(* t (sqrt x))
(* t (sqrt x))
(* t (sqrt x))
(* t (sqrt x))
(* t (sqrt x))
(* t (sqrt x))
(* -1 (* (* t (pow (sqrt -1) 2)) (sqrt x)))
(* -1 (* (* t (pow (sqrt -1) 2)) (sqrt x)))
(* -1 (* (* t (pow (sqrt -1) 2)) (sqrt x)))
(* -1 (* (* t (pow (sqrt -1) 2)) (sqrt x)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* 2 (/ x (+ (* 2 (pow l 2)) (* 4 (pow t 2)))))
(* x (+ (* -4 (/ (* (pow t 2) x) (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 2))) (* 2 (/ 1 (+ (* 2 (pow l 2)) (* 4 (pow t 2)))))))
(* x (+ (* x (+ (* -4 (/ (pow t 2) (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 2))) (* 8 (/ (* (pow t 4) x) (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 3))))) (* 2 (/ 1 (+ (* 2 (pow l 2)) (* 4 (pow t 2)))))))
(* x (+ (* x (+ (* -4 (/ (pow t 2) (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 2))) (* x (+ (* -16 (/ (* (pow t 6) x) (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 4))) (* 8 (/ (pow t 4) (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 3))))))) (* 2 (/ 1 (+ (* 2 (pow l 2)) (* 4 (pow t 2)))))))
(/ 1 (pow t 2))
(+ (* -1/2 (/ (+ (* 2 (pow l 2)) (* 4 (pow t 2))) (* (pow t 4) x))) (/ 1 (pow t 2)))
(- (+ (* 1/4 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 2) (* (pow t 6) (pow x 2)))) (/ 1 (pow t 2))) (* 1/2 (/ (+ (* 2 (pow l 2)) (* 4 (pow t 2))) (* (pow t 4) x))))
(- (+ (* -1/8 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 3) (* (pow t 8) (pow x 3)))) (/ 1 (pow t 2))) (+ (* -1/4 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 2) (* (pow t 6) (pow x 2)))) (* 1/2 (/ (+ (* 2 (pow l 2)) (* 4 (pow t 2))) (* (pow t 4) x)))))
(/ 1 (pow t 2))
(+ (* -1/2 (/ (+ (* 2 (pow l 2)) (* 4 (pow t 2))) (* (pow t 4) x))) (/ 1 (pow t 2)))
(+ (* -1 (/ (- (* -1/4 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 2) (* (pow t 6) x))) (* -1/2 (/ (+ (* 2 (pow l 2)) (* 4 (pow t 2))) (pow t 4)))) x)) (/ 1 (pow t 2)))
(+ (* -1 (/ (- (* -1 (/ (- (* -1/8 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 3) (* (pow t 8) x))) (* -1/4 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 2) (pow t 6)))) x)) (* -1/2 (/ (+ (* 2 (pow l 2)) (* 4 (pow t 2))) (pow t 4)))) x)) (/ 1 (pow t 2)))
(/ x (pow l 2))
(+ (* -1/2 (/ (* (pow t 2) (* x (+ 4 (* 2 x)))) (pow l 4))) (/ x (pow l 2)))
(+ (* (pow t 2) (+ (* -1/2 (/ (* x (+ 4 (* 2 x))) (pow l 4))) (* 1/4 (/ (* (pow t 2) (* x (pow (+ 4 (* 2 x)) 2))) (pow l 6))))) (/ x (pow l 2)))
(+ (* (pow t 2) (+ (* -1/2 (/ (* x (+ 4 (* 2 x))) (pow l 4))) (* (pow t 2) (+ (* -1/8 (/ (* (pow t 2) (* x (pow (+ 4 (* 2 x)) 3))) (pow l 8))) (* 1/4 (/ (* x (pow (+ 4 (* 2 x)) 2)) (pow l 6))))))) (/ x (pow l 2)))
(* 2 (/ x (* (pow t 2) (+ 4 (* 2 x)))))
(/ (+ (* -4 (/ (* (pow l 2) x) (* (pow t 2) (pow (+ 4 (* 2 x)) 2)))) (* 2 (/ x (+ 4 (* 2 x))))) (pow t 2))
(/ (+ (* -4 (/ (* (pow l 2) x) (* (pow t 2) (pow (+ 4 (* 2 x)) 2)))) (+ (* 2 (/ x (+ 4 (* 2 x)))) (* 8 (/ (* (pow l 4) x) (* (pow t 4) (pow (+ 4 (* 2 x)) 3)))))) (pow t 2))
(/ (+ (* -16 (/ (* (pow l 6) x) (* (pow t 6) (pow (+ 4 (* 2 x)) 4)))) (+ (* -4 (/ (* (pow l 2) x) (* (pow t 2) (pow (+ 4 (* 2 x)) 2)))) (+ (* 2 (/ x (+ 4 (* 2 x)))) (* 8 (/ (* (pow l 4) x) (* (pow t 4) (pow (+ 4 (* 2 x)) 3))))))) (pow t 2))
(* 2 (/ x (* (pow t 2) (+ 4 (* 2 x)))))
(/ (+ (* -4 (/ (* (pow l 2) x) (* (pow t 2) (pow (+ 4 (* 2 x)) 2)))) (* 2 (/ x (+ 4 (* 2 x))))) (pow t 2))
(/ (+ (* -4 (/ (* (pow l 2) x) (* (pow t 2) (pow (+ 4 (* 2 x)) 2)))) (+ (* 2 (/ x (+ 4 (* 2 x)))) (* 8 (/ (* (pow l 4) x) (* (pow t 4) (pow (+ 4 (* 2 x)) 3)))))) (pow t 2))
(/ (+ (* -16 (/ (* (pow l 6) x) (* (pow t 6) (pow (+ 4 (* 2 x)) 4)))) (+ (* -4 (/ (* (pow l 2) x) (* (pow t 2) (pow (+ 4 (* 2 x)) 2)))) (+ (* 2 (/ x (+ 4 (* 2 x)))) (* 8 (/ (* (pow l 4) x) (* (pow t 4) (pow (+ 4 (* 2 x)) 3))))))) (pow t 2))
(* 2 (/ x (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2)))))
(+ (* -4 (/ (* (pow l 2) x) (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 2))) (* 2 (/ x (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))))))
(+ (* 2 (/ x (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))))) (* (pow l 2) (+ (* -4 (/ x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 2))) (* 8 (/ (* (pow l 2) x) (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 3))))))
(+ (* 2 (/ x (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))))) (* (pow l 2) (+ (* -4 (/ x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 2))) (* (pow l 2) (+ (* -16 (/ (* (pow l 2) x) (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 4))) (* 8 (/ x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 3))))))))
(/ x (pow l 2))
(/ (+ x (* -1/2 (/ (* x (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2)))) (pow l 2)))) (pow l 2))
(/ (+ x (+ (* -1/2 (/ (* x (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2)))) (pow l 2))) (* 1/4 (/ (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 2)) (pow l 4))))) (pow l 2))
(/ (+ x (+ (* -1/2 (/ (* x (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2)))) (pow l 2))) (+ (* -1/8 (/ (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 3)) (pow l 6))) (* 1/4 (/ (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 2)) (pow l 4)))))) (pow l 2))
(/ x (pow l 2))
(/ (+ x (* -1/2 (/ (* x (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2)))) (pow l 2)))) (pow l 2))
(/ (+ x (+ (* -1/2 (/ (* x (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2)))) (pow l 2))) (* 1/4 (/ (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 2)) (pow l 4))))) (pow l 2))
(/ (+ x (+ (* -1/2 (/ (* x (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2)))) (pow l 2))) (+ (* -1/8 (/ (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 3)) (pow l 6))) (* 1/4 (/ (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 2)) (pow l 4)))))) (pow l 2))
(+ (* 2 (pow l 2)) (* 4 (pow t 2)))
(+ (* 2 (* (pow t 2) x)) (+ (* 2 (pow l 2)) (* 4 (pow t 2))))
(+ (* 2 (* (pow t 2) x)) (+ (* 2 (pow l 2)) (* 4 (pow t 2))))
(+ (* 2 (* (pow t 2) x)) (+ (* 2 (pow l 2)) (* 4 (pow t 2))))
(* 2 (* (pow t 2) x))
(* x (+ (* 2 (/ (pow l 2) x)) (+ (* 2 (pow t 2)) (* 4 (/ (pow t 2) x)))))
(* x (+ (* 2 (/ (pow l 2) x)) (+ (* 2 (pow t 2)) (* 4 (/ (pow t 2) x)))))
(* x (+ (* 2 (/ (pow l 2) x)) (+ (* 2 (pow t 2)) (* 4 (/ (pow t 2) x)))))
(* 2 (* (pow t 2) x))
(* -1 (* x (+ (* -2 (pow t 2)) (* -1 (/ (+ (* 2 (pow l 2)) (* 4 (pow t 2))) x)))))
(* -1 (* x (+ (* -2 (pow t 2)) (* -1 (/ (+ (* 2 (pow l 2)) (* 4 (pow t 2))) x)))))
(* -1 (* x (+ (* -2 (pow t 2)) (* -1 (/ (+ (* 2 (pow l 2)) (* 4 (pow t 2))) x)))))
(* 2 (pow l 2))
(+ (* 2 (pow l 2)) (* (pow t 2) (+ 4 (* 2 x))))
(+ (* 2 (pow l 2)) (* (pow t 2) (+ 4 (* 2 x))))
(+ (* 2 (pow l 2)) (* (pow t 2) (+ 4 (* 2 x))))
(* (pow t 2) (+ 4 (* 2 x)))
(* (pow t 2) (+ 4 (+ (* 2 x) (* 2 (/ (pow l 2) (pow t 2))))))
(* (pow t 2) (+ 4 (+ (* 2 x) (* 2 (/ (pow l 2) (pow t 2))))))
(* (pow t 2) (+ 4 (+ (* 2 x) (* 2 (/ (pow l 2) (pow t 2))))))
(* (pow t 2) (+ 4 (* 2 x)))
(* (pow t 2) (+ 4 (+ (* 2 x) (* 2 (/ (pow l 2) (pow t 2))))))
(* (pow t 2) (+ 4 (+ (* 2 x) (* 2 (/ (pow l 2) (pow t 2))))))
(* (pow t 2) (+ 4 (+ (* 2 x) (* 2 (/ (pow l 2) (pow t 2))))))
(+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2)))
(+ (* 2 (* (pow t 2) x)) (+ (* 2 (pow l 2)) (* 4 (pow t 2))))
(+ (* 2 (* (pow t 2) x)) (+ (* 2 (pow l 2)) (* 4 (pow t 2))))
(+ (* 2 (* (pow t 2) x)) (+ (* 2 (pow l 2)) (* 4 (pow t 2))))
(* 2 (pow l 2))
(* (pow l 2) (+ 2 (+ (* 2 (/ (* (pow t 2) x) (pow l 2))) (* 4 (/ (pow t 2) (pow l 2))))))
(* (pow l 2) (+ 2 (+ (* 2 (/ (* (pow t 2) x) (pow l 2))) (* 4 (/ (pow t 2) (pow l 2))))))
(* (pow l 2) (+ 2 (+ (* 2 (/ (* (pow t 2) x) (pow l 2))) (* 4 (/ (pow t 2) (pow l 2))))))
(* 2 (pow l 2))
(* (pow l 2) (+ 2 (+ (* 2 (/ (* (pow t 2) x) (pow l 2))) (* 4 (/ (pow t 2) (pow l 2))))))
(* (pow l 2) (+ 2 (+ (* 2 (/ (* (pow t 2) x) (pow l 2))) (* 4 (/ (pow t 2) (pow l 2))))))
(* (pow l 2) (+ 2 (+ (* 2 (/ (* (pow t 2) x) (pow l 2))) (* 4 (/ (pow t 2) (pow l 2))))))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* t (+ (* -1/8 (* (/ (* (pow t 2) (* (sqrt 2) (+ 4 (* 2 x)))) (* (pow l 3) (sqrt 1/2))) (sqrt x))) (* (/ (* (sqrt 1/2) (sqrt 2)) l) (sqrt x))))
(* t (+ (* (/ (* (sqrt 1/2) (sqrt 2)) l) (sqrt x)) (* (pow t 2) (+ (* -1/2 (* (/ (* l (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (* x (pow (+ 4 (* 2 x)) 2)) (pow l 6))) (* 1/64 (/ (* x (pow (+ 4 (* 2 x)) 2)) (* (pow l 6) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2)) (sqrt (/ 1 x)))) (* -1/8 (* (/ (* (sqrt 2) (+ 4 (* 2 x))) (* (pow l 3) (sqrt 1/2))) (sqrt x)))))))
(* t (+ (* (/ (* (sqrt 1/2) (sqrt 2)) l) (sqrt x)) (* (pow t 2) (+ (* -1/8 (* (/ (* (sqrt 2) (+ 4 (* 2 x))) (* (pow l 3) (sqrt 1/2))) (sqrt x))) (* (pow t 2) (+ (* -1/2 (* (/ (* l (* (sqrt 2) (+ (* -1/8 (/ (* x (pow (+ 4 (* 2 x)) 2)) (pow l 6))) (* 1/64 (/ (* x (pow (+ 4 (* 2 x)) 2)) (* (pow l 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 x)))) (* -1/2 (* (/ (* l (* (pow t 2) (* (sqrt 2) (+ (* 1/16 (/ (* x (pow (+ 4 (* 2 x)) 3)) (pow l 8))) (* 1/8 (/ (* (+ 4 (* 2 x)) (+ (* -1/8 (/ (* x (pow (+ 4 (* 2 x)) 2)) (pow l 6))) (* 1/64 (/ (* x (pow (+ 4 (* 2 x)) 2)) (* (pow l 6) (pow (sqrt 1/2) 2)))))) (* (pow l 2) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2)) (sqrt (/ 1 x))))))))))
(* (sqrt (/ x (+ 4 (* 2 x)))) (sqrt 2))
(+ (* -1 (* (/ (* (pow l 2) (sqrt 2)) (pow t 2)) (sqrt (/ x (pow (+ 4 (* 2 x)) 3))))) (* (sqrt (/ x (+ 4 (* 2 x)))) (sqrt 2)))
(+ (* -1 (* (/ (* (pow l 2) (sqrt 2)) (pow t 2)) (sqrt (/ x (pow (+ 4 (* 2 x)) 3))))) (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -4 (/ (* (pow l 4) x) (pow (+ 4 (* 2 x)) 3))) (/ (* (pow l 4) x) (pow (+ 4 (* 2 x)) 3)))) (pow t 4)) (sqrt (/ (+ 4 (* 2 x)) x)))) (* (sqrt (/ x (+ 4 (* 2 x)))) (sqrt 2))))
(+ (* -1 (* (/ (* (pow l 2) (sqrt 2)) (pow t 2)) (sqrt (/ x (pow (+ 4 (* 2 x)) 3))))) (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -4 (/ (* (pow l 4) x) (pow (+ 4 (* 2 x)) 3))) (/ (* (pow l 4) x) (pow (+ 4 (* 2 x)) 3)))) (pow t 4)) (sqrt (/ (+ 4 (* 2 x)) x)))) (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* 8 (/ (* (pow l 6) x) (pow (+ 4 (* 2 x)) 4))) (/ (* (pow l 2) (+ (* -4 (/ (* (pow l 4) x) (pow (+ 4 (* 2 x)) 3))) (/ (* (pow l 4) x) (pow (+ 4 (* 2 x)) 3)))) (+ 4 (* 2 x))))) (pow t 6)) (sqrt (/ (+ 4 (* 2 x)) x)))) (* (sqrt (/ x (+ 4 (* 2 x)))) (sqrt 2)))))
(* -1 (* (sqrt (/ x (+ 4 (* 2 x)))) (sqrt 2)))
(+ (* -1 (* (sqrt (/ x (+ 4 (* 2 x)))) (sqrt 2))) (* (/ (* (pow l 2) (sqrt 2)) (pow t 2)) (sqrt (/ x (pow (+ 4 (* 2 x)) 3)))))
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(* (* t (sqrt 2)) (sqrt (/ x (+ (* 2 (pow l 2)) (* 4 (pow t 2))))))
(+ (* -1 (* (* (pow t 3) (sqrt 2)) (sqrt (/ (pow x 3) (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 3))))) (* (* t (sqrt 2)) (sqrt (/ x (+ (* 2 (pow l 2)) (* 4 (pow t 2)))))))
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(+ (* (* t (sqrt 2)) (sqrt (/ x (+ (* 2 (pow l 2)) (* 4 (pow t 2)))))) (* (pow x 2) (+ (* -1 (* (* (pow t 3) (sqrt 2)) (sqrt (/ 1 (* x (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 3)))))) (* x (+ (* -1/2 (* (* t (* (sqrt 2) (+ (* 8 (/ (pow t 6) (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 4))) (/ (pow t 4) (* x (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 3)))))) (sqrt (* x (+ (* 2 (pow l 2)) (* 4 (pow t 2))))))) (* 2 (* (* (pow t 5) (sqrt 2)) (sqrt (/ 1 (* x (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 5)))))))))))
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(* (sqrt -2) (sqrt -1/2))
(+ (* 1/8 (/ (* (sqrt -2) (+ (* 2 (pow l 2)) (* 4 (pow t 2)))) (* (pow t 2) (* x (sqrt -1/2))))) (* (sqrt -2) (sqrt -1/2)))
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(* (* t (sqrt 2)) (sqrt (/ x (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))))))
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(+ (* (* t (sqrt 2)) (sqrt (/ x (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2)))))) (* (pow l 2) (+ (* -1 (* (* t (sqrt 2)) (sqrt (/ x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 3))))) (* (pow l 2) (+ (* -1/2 (* (* t (* (sqrt 2) (+ (* -4 (/ x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 3))) (/ x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 3))))) (sqrt (/ (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) x)))) (* -1/2 (* (* (pow l 2) (* t (* (sqrt 2) (+ (* -4 (/ x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 4))) (+ (* 8 (/ x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 4))) (/ x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 4))))))) (sqrt (/ (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) x)))))))))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(/ (+ (* -1/8 (* (/ (* t (* (sqrt 2) (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))))) (* (pow l 2) (sqrt 1/2))) (sqrt x))) (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))) l)
(/ (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -1/8 (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 2))) (* 1/64 (/ (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 2)) (pow (sqrt 1/2) 2)))))) (* (pow l 4) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/8 (* (/ (* t (* (sqrt 2) (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))))) (* (pow l 2) (sqrt 1/2))) (sqrt x))) (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x)))) l)
(/ (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -1/8 (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 2))) (* 1/64 (/ (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 2)) (pow (sqrt 1/2) 2)))))) (* (pow l 4) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* 1/16 (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 3))) (* 1/8 (/ (* (+ (* -1/8 (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 2))) (* 1/64 (/ (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 2)) (pow (sqrt 1/2) 2)))) (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2)))) (pow (sqrt 1/2) 2)))))) (* (pow l 6) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/8 (* (/ (* t (* (sqrt 2) (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))))) (* (pow l 2) (sqrt 1/2))) (sqrt x))) (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))))) l)
(* -1 (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x)))
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(* -1 (/ (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -1/8 (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 2))) (* 1/64 (/ (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 2)) (pow (sqrt 1/2) 2)))))) (* (pow l 4) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/8 (* (/ (* t (* (sqrt 2) (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))))) (* (pow l 2) (sqrt 1/2))) (sqrt x))) (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x)))) l))
(* -1 (/ (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -1/8 (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 2))) (* 1/64 (/ (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 2)) (pow (sqrt 1/2) 2)))))) (* (pow l 4) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* 1/16 (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 3))) (* 1/8 (/ (* (+ (* -1/8 (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 2))) (* 1/64 (/ (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 2)) (pow (sqrt 1/2) 2)))) (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2)))) (pow (sqrt 1/2) 2)))))) (* (pow l 6) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/8 (* (/ (* t (* (sqrt 2) (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))))) (* (pow l 2) (sqrt 1/2))) (sqrt x))) (* (* t (* (sqrt 1/2) (sqrt 2))) (sqrt x))))) l))
(* (sqrt (/ x (+ (* 2 (pow l 2)) (* 4 (pow t 2))))) (sqrt 2))
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(/ (* (sqrt 1/2) (sqrt 2)) t)
(+ (* -1/8 (/ (* (sqrt 2) (+ (* 2 (pow l 2)) (* 4 (pow t 2)))) (* (pow t 3) (* x (sqrt 1/2))))) (/ (* (sqrt 1/2) (sqrt 2)) t))
(+ (* -1/2 (/ (* t (* (sqrt 2) (+ (* -1/8 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 2) (pow t 6))) (* 1/64 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 2) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (* (pow x 2) (sqrt 1/2)))) (+ (* -1/8 (/ (* (sqrt 2) (+ (* 2 (pow l 2)) (* 4 (pow t 2)))) (* (pow t 3) (* x (sqrt 1/2))))) (/ (* (sqrt 1/2) (sqrt 2)) t)))
(+ (* -1/2 (/ (* t (* (sqrt 2) (+ (* -1/8 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 2) (pow t 6))) (* 1/64 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 2) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (* (pow x 2) (sqrt 1/2)))) (+ (* -1/2 (/ (* t (* (sqrt 2) (+ (* 1/16 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 3) (pow t 8))) (* 1/8 (/ (* (+ (* -1/8 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 2) (pow t 6))) (* 1/64 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 2) (* (pow t 6) (pow (sqrt 1/2) 2))))) (+ (* 2 (pow l 2)) (* 4 (pow t 2)))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (* (pow x 3) (sqrt 1/2)))) (+ (* -1/8 (/ (* (sqrt 2) (+ (* 2 (pow l 2)) (* 4 (pow t 2)))) (* (pow t 3) (* x (sqrt 1/2))))) (/ (* (sqrt 1/2) (sqrt 2)) t))))
(/ (* (sqrt -2) (sqrt -1/2)) t)
(+ (* 1/8 (/ (* (sqrt -2) (+ (* 2 (pow l 2)) (* 4 (pow t 2)))) (* (pow t 3) (* x (sqrt -1/2))))) (/ (* (sqrt -2) (sqrt -1/2)) t))
(+ (* -1 (/ (+ (* -1/8 (/ (* (sqrt -2) (+ (* 2 (pow l 2)) (* 4 (pow t 2)))) (* (pow t 3) (sqrt -1/2)))) (* 1/2 (/ (* t (* (sqrt -2) (+ (* 1/64 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 2) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 2) (pow t 6)))))) (* x (sqrt -1/2))))) x)) (/ (* (sqrt -2) (sqrt -1/2)) t))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* t (* (sqrt -2) (+ (* 1/64 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 2) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 2) (pow t 6)))))) (sqrt -1/2))) (* 1/2 (/ (* t (* (sqrt -2) (+ (* 1/16 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 3) (pow t 8))) (* 1/8 (/ (* (+ (* 1/64 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 2) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (pow (+ (* 2 (pow l 2)) (* 4 (pow t 2))) 2) (pow t 6)))) (+ (* 2 (pow l 2)) (* 4 (pow t 2)))) (* (pow t 2) (pow (sqrt -1/2) 2))))))) (* x (sqrt -1/2))))) x)) (* -1/8 (/ (* (sqrt -2) (+ (* 2 (pow l 2)) (* 4 (pow t 2)))) (* (pow t 3) (sqrt -1/2))))) x)) (/ (* (sqrt -2) (sqrt -1/2)) t))
(* (/ (* (sqrt 1/2) (sqrt 2)) l) (sqrt x))
(+ (* -1/8 (* (/ (* (pow t 2) (* (sqrt 2) (+ 4 (* 2 x)))) (* (pow l 3) (sqrt 1/2))) (sqrt x))) (* (/ (* (sqrt 1/2) (sqrt 2)) l) (sqrt x)))
(+ (* (/ (* (sqrt 1/2) (sqrt 2)) l) (sqrt x)) (* (pow t 2) (+ (* -1/2 (* (/ (* l (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (* x (pow (+ 4 (* 2 x)) 2)) (pow l 6))) (* 1/64 (/ (* x (pow (+ 4 (* 2 x)) 2)) (* (pow l 6) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2)) (sqrt (/ 1 x)))) (* -1/8 (* (/ (* (sqrt 2) (+ 4 (* 2 x))) (* (pow l 3) (sqrt 1/2))) (sqrt x))))))
(+ (* (/ (* (sqrt 1/2) (sqrt 2)) l) (sqrt x)) (* (pow t 2) (+ (* -1/8 (* (/ (* (sqrt 2) (+ 4 (* 2 x))) (* (pow l 3) (sqrt 1/2))) (sqrt x))) (* (pow t 2) (+ (* -1/2 (* (/ (* l (* (sqrt 2) (+ (* -1/8 (/ (* x (pow (+ 4 (* 2 x)) 2)) (pow l 6))) (* 1/64 (/ (* x (pow (+ 4 (* 2 x)) 2)) (* (pow l 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 x)))) (* -1/2 (* (/ (* l (* (pow t 2) (* (sqrt 2) (+ (* 1/16 (/ (* x (pow (+ 4 (* 2 x)) 3)) (pow l 8))) (* 1/8 (/ (* (+ 4 (* 2 x)) (+ (* -1/8 (/ (* x (pow (+ 4 (* 2 x)) 2)) (pow l 6))) (* 1/64 (/ (* x (pow (+ 4 (* 2 x)) 2)) (* (pow l 6) (pow (sqrt 1/2) 2)))))) (* (pow l 2) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2)) (sqrt (/ 1 x)))))))))
(* (/ (sqrt 2) t) (sqrt (/ x (+ 4 (* 2 x)))))
(/ (+ (* -1 (* (/ (* (pow l 2) (sqrt 2)) (pow t 2)) (sqrt (/ x (pow (+ 4 (* 2 x)) 3))))) (* (sqrt (/ x (+ 4 (* 2 x)))) (sqrt 2))) t)
(/ (+ (* -1 (* (/ (* (pow l 2) (sqrt 2)) (pow t 2)) (sqrt (/ x (pow (+ 4 (* 2 x)) 3))))) (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -4 (/ (* (pow l 4) x) (pow (+ 4 (* 2 x)) 3))) (/ (* (pow l 4) x) (pow (+ 4 (* 2 x)) 3)))) (pow t 4)) (sqrt (/ (+ 4 (* 2 x)) x)))) (* (sqrt (/ x (+ 4 (* 2 x)))) (sqrt 2)))) t)
(/ (+ (* -1 (* (/ (* (pow l 2) (sqrt 2)) (pow t 2)) (sqrt (/ x (pow (+ 4 (* 2 x)) 3))))) (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -4 (/ (* (pow l 4) x) (pow (+ 4 (* 2 x)) 3))) (/ (* (pow l 4) x) (pow (+ 4 (* 2 x)) 3)))) (pow t 4)) (sqrt (/ (+ 4 (* 2 x)) x)))) (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* 8 (/ (* (pow l 6) x) (pow (+ 4 (* 2 x)) 4))) (/ (* (pow l 2) (+ (* -4 (/ (* (pow l 4) x) (pow (+ 4 (* 2 x)) 3))) (/ (* (pow l 4) x) (pow (+ 4 (* 2 x)) 3)))) (+ 4 (* 2 x))))) (pow t 6)) (sqrt (/ (+ 4 (* 2 x)) x)))) (* (sqrt (/ x (+ 4 (* 2 x)))) (sqrt 2))))) t)
(* -1 (* (/ (sqrt 2) t) (sqrt (/ x (+ 4 (* 2 x))))))
(* -1 (/ (+ (* -1 (* (/ (* (pow l 2) (sqrt 2)) (pow t 2)) (sqrt (/ x (pow (+ 4 (* 2 x)) 3))))) (* (sqrt (/ x (+ 4 (* 2 x)))) (sqrt 2))) t))
(* -1 (/ (+ (* -1 (* (/ (* (pow l 2) (sqrt 2)) (pow t 2)) (sqrt (/ x (pow (+ 4 (* 2 x)) 3))))) (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -4 (/ (* (pow l 4) x) (pow (+ 4 (* 2 x)) 3))) (/ (* (pow l 4) x) (pow (+ 4 (* 2 x)) 3)))) (pow t 4)) (sqrt (/ (+ 4 (* 2 x)) x)))) (* (sqrt (/ x (+ 4 (* 2 x)))) (sqrt 2)))) t))
(* -1 (/ (+ (* -1 (* (/ (* (pow l 2) (sqrt 2)) (pow t 2)) (sqrt (/ x (pow (+ 4 (* 2 x)) 3))))) (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -4 (/ (* (pow l 4) x) (pow (+ 4 (* 2 x)) 3))) (/ (* (pow l 4) x) (pow (+ 4 (* 2 x)) 3)))) (pow t 4)) (sqrt (/ (+ 4 (* 2 x)) x)))) (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* 8 (/ (* (pow l 6) x) (pow (+ 4 (* 2 x)) 4))) (/ (* (pow l 2) (+ (* -4 (/ (* (pow l 4) x) (pow (+ 4 (* 2 x)) 3))) (/ (* (pow l 4) x) (pow (+ 4 (* 2 x)) 3)))) (+ 4 (* 2 x))))) (pow t 6)) (sqrt (/ (+ 4 (* 2 x)) x)))) (* (sqrt (/ x (+ 4 (* 2 x)))) (sqrt 2))))) t))
(* (sqrt (/ x (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))))) (sqrt 2))
(+ (* -1 (* (* (pow l 2) (sqrt 2)) (sqrt (/ x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 3))))) (* (sqrt (/ x (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))))) (sqrt 2)))
(+ (* (sqrt (/ x (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))))) (sqrt 2)) (* (pow l 2) (+ (* -1 (* (sqrt (/ x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 3))) (sqrt 2))) (* -1/2 (* (* (pow l 2) (* (sqrt 2) (+ (* -4 (/ x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 3))) (/ x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 3))))) (sqrt (/ (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) x)))))))
(+ (* (sqrt (/ x (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))))) (sqrt 2)) (* (pow l 2) (+ (* -1 (* (sqrt (/ x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 3))) (sqrt 2))) (* (pow l 2) (+ (* -1/2 (* (sqrt (/ (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) x)) (* (sqrt 2) (+ (* -4 (/ x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 3))) (/ x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 3)))))) (* -1/2 (* (* (pow l 2) (* (sqrt 2) (+ (* -4 (/ x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 4))) (+ (* 8 (/ x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 4))) (/ x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 4)))))) (sqrt (/ (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) x)))))))))
(* (/ (* (sqrt 1/2) (sqrt 2)) l) (sqrt x))
(/ (+ (* -1/8 (* (/ (* (sqrt 2) (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2)))) (* (pow l 2) (sqrt 1/2))) (sqrt x))) (* (sqrt x) (* (sqrt 1/2) (sqrt 2)))) l)
(/ (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 2))) (* 1/64 (/ (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 2)) (pow (sqrt 1/2) 2))))) (* (pow l 4) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/8 (* (/ (* (sqrt 2) (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2)))) (* (pow l 2) (sqrt 1/2))) (sqrt x))) (* (sqrt x) (* (sqrt 1/2) (sqrt 2))))) l)
(/ (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 2))) (* 1/64 (/ (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 2)) (pow (sqrt 1/2) 2))))) (* (pow l 4) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 3))) (* 1/8 (/ (* (+ (* -1/8 (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 2))) (* 1/64 (/ (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 2)) (pow (sqrt 1/2) 2)))) (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2)))) (pow (sqrt 1/2) 2))))) (* (pow l 6) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/8 (* (/ (* (sqrt 2) (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2)))) (* (pow l 2) (sqrt 1/2))) (sqrt x))) (* (sqrt x) (* (sqrt 1/2) (sqrt 2)))))) l)
(* -1 (* (/ (* (sqrt 1/2) (sqrt 2)) l) (sqrt x)))
(* -1 (/ (+ (* -1/8 (* (/ (* (sqrt 2) (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2)))) (* (pow l 2) (sqrt 1/2))) (sqrt x))) (* (sqrt x) (* (sqrt 1/2) (sqrt 2)))) l))
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 2))) (* 1/64 (/ (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 2)) (pow (sqrt 1/2) 2))))) (* (pow l 4) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/8 (* (/ (* (sqrt 2) (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2)))) (* (pow l 2) (sqrt 1/2))) (sqrt x))) (* (sqrt x) (* (sqrt 1/2) (sqrt 2))))) l))
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 2))) (* 1/64 (/ (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 2)) (pow (sqrt 1/2) 2))))) (* (pow l 4) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 3))) (* 1/8 (/ (* (+ (* -1/8 (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 2))) (* 1/64 (/ (* x (pow (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) 2)) (pow (sqrt 1/2) 2)))) (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2)))) (pow (sqrt 1/2) 2))))) (* (pow l 6) (sqrt 1/2))) (sqrt (/ 1 x)))) (+ (* -1/8 (* (/ (* (sqrt 2) (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2)))) (* (pow l 2) (sqrt 1/2))) (sqrt x))) (* (sqrt x) (* (sqrt 1/2) (sqrt 2)))))) l))
-2
(- (* -2 x) 2)
(- (* x (- (* -2 x) 2)) 2)
(- (* x (- (* x (- (* -2 x) 2)) 2)) 2)
(/ 2 x)
(/ (+ 2 (* 2 (/ 1 x))) x)
(/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)
(/ (+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) x)
(/ 2 x)
(/ (+ 2 (* 2 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) x))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(/ (* t (* (sqrt -1/2) (sqrt 2))) l)
(+ (* 1/4 (/ (* t (* x (sqrt 2))) (* l (sqrt -1/2)))) (/ (* t (* (sqrt -1/2) (sqrt 2))) l))
(+ (* x (+ (* -1/32 (/ (* t (* x (sqrt 2))) (* l (pow (sqrt -1/2) 3)))) (* 1/4 (/ (* t (sqrt 2)) (* l (sqrt -1/2)))))) (/ (* t (* (sqrt -1/2) (sqrt 2))) l))
(+ (* x (+ (* 1/4 (/ (* t (sqrt 2)) (* l (sqrt -1/2)))) (* x (+ (* -1/32 (/ (* t (sqrt 2)) (* l (pow (sqrt -1/2) 3)))) (* 1/128 (/ (* t (* x (sqrt 2))) (* l (pow (sqrt -1/2) 5)))))))) (/ (* t (* (sqrt -1/2) (sqrt 2))) l))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* x (+ (* -1/4 (* (/ (* t (sqrt 2)) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt (/ 1 x)))))
(* x (+ (* -1/4 (* (/ (* t (sqrt 2)) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/32 (* (/ (* t (sqrt 2)) (* l (pow (sqrt 1/2) 3))) (sqrt (/ 1 (pow x 5))))) (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt (/ 1 x))))))
(* x (+ (* -1/4 (* (/ (* t (sqrt 2)) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/32 (* (/ (* t (sqrt 2)) (* l (pow (sqrt 1/2) 3))) (sqrt (/ 1 (pow x 5))))) (+ (* -1/128 (* (/ (* t (sqrt 2)) (* l (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow x 7))))) (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt (/ 1 x)))))))
(* -1 (* (/ (* t (* (sqrt -1) (* (sqrt -1/2) (sqrt 2)))) l) (sqrt x)))
(* -1 (* x (+ (* -1/4 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* t (* (sqrt -1) (* (sqrt -1/2) (sqrt 2)))) l) (sqrt (/ 1 x))))))
(* -1 (* x (+ (* -1/4 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/32 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (pow (sqrt -1/2) 3))) (sqrt (/ 1 (pow x 5))))) (* (/ (* t (* (sqrt -1) (* (sqrt -1/2) (sqrt 2)))) l) (sqrt (/ 1 x)))))))
(* -1 (* x (+ (* -1/4 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/32 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (pow (sqrt -1/2) 3))) (sqrt (/ 1 (pow x 5))))) (+ (* -1/128 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (pow (sqrt -1/2) 5))) (sqrt (/ 1 (pow x 7))))) (* (/ (* t (* (sqrt -1) (* (sqrt -1/2) (sqrt 2)))) l) (sqrt (/ 1 x))))))))
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(* 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
(- 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)))
(/ (+ (* 2 (pow l 2)) (* 4 (pow t 2))) x)
(/ (+ (* 2 (* (pow t 2) x)) (+ (* 2 (pow l 2)) (* 4 (pow t 2)))) x)
(/ (+ (* 2 (* (pow t 2) x)) (+ (* 2 (pow l 2)) (* 4 (pow t 2)))) x)
(/ (+ (* 2 (* (pow t 2) x)) (+ (* 2 (pow l 2)) (* 4 (pow t 2)))) x)
(* 2 (pow t 2))
(+ (* 2 (/ (pow l 2) x)) (+ (* 2 (pow t 2)) (* 4 (/ (pow t 2) x))))
(+ (* 2 (/ (pow l 2) x)) (+ (* 2 (pow t 2)) (* 4 (/ (pow t 2) x))))
(+ (* 2 (/ (pow l 2) x)) (+ (* 2 (pow t 2)) (* 4 (/ (pow t 2) x))))
(* 2 (pow t 2))
(+ (* 2 (/ (pow l 2) x)) (+ (* 2 (pow t 2)) (* 4 (/ (pow t 2) x))))
(+ (* 2 (/ (pow l 2) x)) (+ (* 2 (pow t 2)) (* 4 (/ (pow t 2) x))))
(+ (* 2 (/ (pow l 2) x)) (+ (* 2 (pow t 2)) (* 4 (/ (pow t 2) x))))
(* 2 (/ (pow l 2) x))
(+ (* 2 (/ (pow l 2) x)) (* (pow t 2) (+ 2 (* 4 (/ 1 x)))))
(+ (* 2 (/ (pow l 2) x)) (* (pow t 2) (+ 2 (* 4 (/ 1 x)))))
(+ (* 2 (/ (pow l 2) x)) (* (pow t 2) (+ 2 (* 4 (/ 1 x)))))
(/ (* (pow t 2) (+ 4 (* 2 x))) x)
(* (pow t 2) (+ 2 (+ (* 2 (/ (pow l 2) (* (pow t 2) x))) (* 4 (/ 1 x)))))
(* (pow t 2) (+ 2 (+ (* 2 (/ (pow l 2) (* (pow t 2) x))) (* 4 (/ 1 x)))))
(* (pow t 2) (+ 2 (+ (* 2 (/ (pow l 2) (* (pow t 2) x))) (* 4 (/ 1 x)))))
(/ (* (pow t 2) (+ 4 (* 2 x))) x)
(* (pow t 2) (+ 2 (+ (* 2 (/ (pow l 2) (* (pow t 2) x))) (* 4 (/ 1 x)))))
(* (pow t 2) (+ 2 (+ (* 2 (/ (pow l 2) (* (pow t 2) x))) (* 4 (/ 1 x)))))
(* (pow t 2) (+ 2 (+ (* 2 (/ (pow l 2) (* (pow t 2) x))) (* 4 (/ 1 x)))))
(/ (+ (* 2 (* (pow t 2) x)) (* 4 (pow t 2))) x)
(+ (* 2 (/ (pow l 2) x)) (+ (* 2 (pow t 2)) (* 4 (/ (pow t 2) x))))
(+ (* 2 (/ (pow l 2) x)) (+ (* 2 (pow t 2)) (* 4 (/ (pow t 2) x))))
(+ (* 2 (/ (pow l 2) x)) (+ (* 2 (pow t 2)) (* 4 (/ (pow t 2) x))))
(* 2 (/ (pow l 2) x))
(* (pow l 2) (+ (* 2 (/ (pow t 2) (pow l 2))) (+ (* 4 (/ (pow t 2) (* (pow l 2) x))) (* 2 (/ 1 x)))))
(* (pow l 2) (+ (* 2 (/ (pow t 2) (pow l 2))) (+ (* 4 (/ (pow t 2) (* (pow l 2) x))) (* 2 (/ 1 x)))))
(* (pow l 2) (+ (* 2 (/ (pow t 2) (pow l 2))) (+ (* 4 (/ (pow t 2) (* (pow l 2) x))) (* 2 (/ 1 x)))))
(* 2 (/ (pow l 2) x))
(* (pow l 2) (+ (* 2 (/ (pow t 2) (pow l 2))) (+ (* 4 (/ (pow t 2) (* (pow l 2) x))) (* 2 (/ 1 x)))))
(* (pow l 2) (+ (* 2 (/ (pow t 2) (pow l 2))) (+ (* 4 (/ (pow t 2) (* (pow l 2) x))) (* 2 (/ 1 x)))))
(* (pow l 2) (+ (* 2 (/ (pow t 2) (pow l 2))) (+ (* 4 (/ (pow t 2) (* (pow l 2) x))) (* 2 (/ 1 x)))))
(pow l 2)
(+ (* (pow t 2) x) (pow l 2))
(+ (* (pow t 2) x) (pow l 2))
(+ (* (pow t 2) x) (pow l 2))
(* (pow t 2) x)
(* x (+ (/ (pow l 2) x) (pow t 2)))
(* x (+ (/ (pow l 2) x) (pow t 2)))
(* x (+ (/ (pow l 2) x) (pow t 2)))
(* (pow t 2) x)
(* -1 (* x (+ (* -1 (/ (pow l 2) x)) (* -1 (pow t 2)))))
(* -1 (* x (+ (* -1 (/ (pow l 2) x)) (* -1 (pow t 2)))))
(* -1 (* x (+ (* -1 (/ (pow l 2) x)) (* -1 (pow t 2)))))
(pow l 2)
(+ (* (pow t 2) x) (pow l 2))
(+ (* (pow t 2) x) (pow l 2))
(+ (* (pow t 2) x) (pow l 2))
(* (pow t 2) x)
(* (pow t 2) (+ x (/ (pow l 2) (pow t 2))))
(* (pow t 2) (+ x (/ (pow l 2) (pow t 2))))
(* (pow t 2) (+ x (/ (pow l 2) (pow t 2))))
(* (pow t 2) x)
(* (pow t 2) (+ x (/ (pow l 2) (pow t 2))))
(* (pow t 2) (+ x (/ (pow l 2) (pow t 2))))
(* (pow t 2) (+ x (/ (pow l 2) (pow t 2))))
(* (pow t 2) x)
(+ (* (pow t 2) x) (pow l 2))
(+ (* (pow t 2) x) (pow l 2))
(+ (* (pow t 2) x) (pow l 2))
(pow l 2)
(* (pow l 2) (+ 1 (/ (* (pow t 2) x) (pow l 2))))
(* (pow l 2) (+ 1 (/ (* (pow t 2) x) (pow l 2))))
(* (pow l 2) (+ 1 (/ (* (pow t 2) x) (pow l 2))))
(pow l 2)
(* (pow l 2) (+ 1 (/ (* (pow t 2) x) (pow l 2))))
(* (pow l 2) (+ 1 (/ (* (pow t 2) x) (pow l 2))))
(* (pow l 2) (+ 1 (/ (* (pow t 2) x) (pow l 2))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))

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

eval239.0ms (1.8%)

Memory: 23.0MiB live, 365.6MiB allocated
Compiler: Compiled 39 385 to 4 667 computations (88.2% saved)

prune260.0ms (1.9%)

Memory

30.4MiB live, 467.1MiB allocated

Pruning

40 alts after pruning (32 fresh and 8 done)

	Pruned	Kept	Total
New	1 371	7	1 378
Fresh	1	25	26
Picked	1	4	5
Done	0	4	4
Total	1 373	40	1 413

Accuracy

99.5%

Counts

1 413 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.1%	(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 1 binary64)) (*.f64 l (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
	21.7%	(/.f64 (*.f64 (sqrt.f64 x) t) l)
	21.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) (.f64 (.f64 t t) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))) (.f64 (sqrt.f64 #s(literal 2 binary64)) l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) l))))
	11.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (+.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))))))
	2.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (.f64 l (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))) l (neg.f64 (*.f64 l l)))))
	2.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 l l)) (neg.f64 (.f64 l l)))))
	4.1%	(/.f64 (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))) l)
✓	21.6%	(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 t (sqrt.f64 x))))
	77.8%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
	3.9%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 l (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
	19.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l t) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
	21.5%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 t (sqrt.f64 x))) l))
✓	79.3%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
	3.8%	(/.f64 #s(literal -1 binary64) x)
	78.5%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))))
✓	77.8%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
	3.3%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))))
	7.1%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
	7.1%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))))
	20.3%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (neg.f64 x)) #s(literal -2 binary64)) (neg.f64 x)))))
	20.2%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x) #s(literal -2 binary64)) (neg.f64 x)))))
	20.2%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) x))))
	20.3%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (/.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x)))) x))))
	20.0%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
✓	4.0%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
✓	11.4%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (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))))))
	20.2%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1 binary64)) x))))))
	21.7%	(*.f64 (/.f64 (sqrt.f64 x) l) t)
	19.5%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 l t)) (sqrt.f64 x))
	21.7%	(.f64 (/.f64 #s(literal 1 binary64) l) (.f64 t (sqrt.f64 x)))
	38.8%	(.f64 (sqrt.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (fma.f64 x (.f64 t t) (.f64 l l)) (.f64 t (.f64 t #s(literal 4 binary64)))))) t)
	39.9%	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
	19.6%	(*.f64 (sqrt.f64 x) (/.f64 t l))
✓	75.9%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
	13.2%	(.f64 t (sqrt.f64 (/.f64 x (.f64 l l))))
	3.5%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (.f64 l (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) l (neg.f64 l))))))
✓	79.3%	(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
	77.8%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
	39.5%	(sqrt.f64 (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))))
✓	77.0%	#s(literal 1 binary64)

Compiler

Compiled 2 343 to 903 computations (61.5% saved)

regimes140.0ms (1%)

Memory

-19.4MiB live, 276.9MiB allocated

Counts

81 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

29.0ms	(/.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))))
24.0ms	x
22.0ms	(*.f64 l l)
22.0ms	t
22.0ms	l

Results

Accuracy	Segments	Branch
82.6%	3	`x`
83.3%	2	`l`
87.1%	3	`t`
82.6%	2	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
79.3%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
82.6%	2	`(*.f64 l l)`

Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes27.0ms (0.2%)

Memory

-20.2MiB live, 58.1MiB allocated

Counts

79 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

22.0ms

Results

Accuracy	Segments	Branch
87.1%	3	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes24.0ms (0.2%)

Memory

15.5MiB live, 54.2MiB allocated

Counts

74 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
87.0%	3	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes23.0ms (0.2%)

Memory

9.8MiB live, 51.1MiB allocated

Counts

70 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
84.9%	2	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes40.0ms (0.3%)

Memory

3.1MiB live, 80.7MiB allocated

Counts

66 → 2

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	l
18.0ms	t

Results

Accuracy	Segments	Branch
83.3%	2	`l`
82.8%	2	`t`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes15.0ms (0.1%)

Memory

-8.9MiB live, 29.6MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	l
3.0ms	t
3.0ms	(*.f64 l l)
3.0ms	(/.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
81.3%	2	`(*.f64 l l)`
81.1%	2	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
81.3%	2	`t`
81.9%	2	`l`

Compiler

Compiled 44 to 28 computations (36.4% saved)

regimes11.0ms (0.1%)

Memory

-18.6MiB live, 21.8MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	t
3.0ms	l
2.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
79.6%	2	`(*.f64 l l)`
81.2%	2	`t`
80.8%	2	`l`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes14.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
77.8%	1	`(*.f64 l l)`
77.8%	1	`l`
77.8%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
77.8%	1	`x`
77.8%	1	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
77.8%	1	`t`

Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes9.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Accuracy

Total -47.0b remaining (-319.5%)

Threshold costs -47b (-319.5%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary64)

Calls

6 calls:

2.0ms	t
1.0ms	x
1.0ms	l
1.0ms	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
1.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
77.0%	1	`l`
77.0%	1	`x`
77.0%	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))))`
77.0%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
77.0%	1	`(*.f64 l l)`
77.0%	1	`t`

Compiler

Compiled 58 to 38 computations (34.5% saved)

bsearch92.0ms (0.7%)

Memory

-23.1MiB live, 91.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	6.637164817686646e+39	1.540368680799503e+41
35.0ms	1.8158742836176456e-162	1.9445415945255987e-156

Samples

23.0ms	122×	1	valid
13.0ms	129×	0	valid
6.0ms	35×	1	invalid
1.0ms	4×	2	valid
1.0ms	2×	2	invalid
0.0ms	1×	4	valid
0.0ms	2×	0	invalid

Compiler

Compiled 1 429 to 647 computations (54.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 9.0ms (26.3% of total)

adjust: 5.0ms (14.6% of total)

ival-div: 5.0ms (14.6% of total)

ival-sqrt: 5.0ms (14.6% of total)

ival-sub: 4.0ms (11.7% of total)

ival-add: 4.0ms (11.7% of total)

exact: 0.0ms (0% of total)

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

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

bsearch25.0ms (0.2%)

Memory

6.5MiB live, 57.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	3.2976759476459125e-81	1.2990030838216408e-80
1.0ms	1.8158742836176456e-162	1.9445415945255987e-156

Samples

7.0ms	13×	1	invalid
6.0ms	31×	1	valid
5.0ms	49×	0	valid

Compiler

Compiled 1 109 to 549 computations (50.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 3.0ms (30.5% of total)

ival-div: 2.0ms (20.4% of total)

ival-sqrt: 2.0ms (20.4% of total)

ival-sub: 1.0ms (10.2% of total)

adjust: 1.0ms (10.2% of total)

ival-add: 1.0ms (10.2% of total)

exact: 0.0ms (0% of total)

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

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

bsearch2.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.2976759476459125e-81	1.2990030838216408e-80
1.0ms	1.8158742836176456e-162	1.9445415945255987e-156

Compiler

Compiled 899 to 479 computations (46.7% saved)

bsearch23.0ms (0.2%)

Memory

3.8MiB live, 42.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.0277514924624135e-59	4.511418151293199e-59

Samples

7.0ms	38×	1	valid
6.0ms	58×	0	valid
1.0ms	6×	1	invalid

Compiler

Compiled 297 to 186 computations (37.4% saved)

Precisions

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

ival-mult: 3.0ms (28.4% of total)

ival-div: 2.0ms (19% of total)

ival-sqrt: 2.0ms (19% of total)

ival-sub: 1.0ms (9.5% of total)

adjust: 1.0ms (9.5% of total)

ival-add: 1.0ms (9.5% of total)

exact: 0.0ms (0% of total)

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

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

bsearch38.0ms (0.3%)

Memory

-18.8MiB live, 56.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	7.030487536788363e+174	1.2743357795460682e+176

Samples

18.0ms	69×	1	valid
5.0ms	28×	1	invalid
4.0ms	43×	0	valid
1.0ms	8×	0	invalid

Compiler

Compiled 187 to 143 computations (23.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 5.0ms (25.3% of total)

ival-sqrt: 5.0ms (25.3% of total)

ival-div: 3.0ms (15.2% of total)

adjust: 2.0ms (10.1% of total)

ival-sub: 2.0ms (10.1% of total)

ival-add: 2.0ms (10.1% of total)

exact: 0.0ms (0% of total)

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

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

bsearch24.0ms (0.2%)

Memory

-13.3MiB live, 34.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	7.030487536788363e+174	1.2743357795460682e+176

Samples

9.0ms	51×	1	valid
5.0ms	12×	1	invalid
3.0ms	29×	0	valid
0.0ms	4×	0	invalid

Compiler

Compiled 166 to 129 computations (22.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 5.0ms (34.8% of total)

ival-mult: 3.0ms (20.9% of total)

adjust: 2.0ms (13.9% of total)

ival-sqrt: 2.0ms (13.9% of total)

ival-sub: 1.0ms (7% of total)

ival-add: 1.0ms (7% of total)

exact: 0.0ms (0% of total)

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

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

bsearch35.0ms (0.3%)

Memory

11.6MiB live, 48.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	2.4231057275846616e-244	8.87508485246392e-243

Samples

14.0ms	75×	1	valid
5.0ms	29×	0	valid
4.0ms	24×	1	invalid
2.0ms	8×	2	valid
1.0ms	2×	2	invalid
0.0ms	4×	0	invalid

Compiler

Compiled 166 to 129 computations (22.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 5.0ms (27.1% of total)

ival-div: 3.0ms (16.3% of total)

adjust: 3.0ms (16.3% of total)

ival-sqrt: 3.0ms (16.3% of total)

ival-sub: 2.0ms (10.8% of total)

ival-add: 2.0ms (10.8% of total)

exact: 0.0ms (0% of total)

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

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

simplify59.0ms (0.4%)

Memory

7.0MiB live, 43.4MiB allocated

Algorithm

1×	egg-herbie

Rules

404×	`distribute-lft-neg-in_binary64`
292×	`unsub-neg_binary64`
230×	`neg-mul-1_binary64`
200×	`neg-sub0_binary64`
164×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	367
1	110	367
2	137	367
3	167	366
4	225	366
5	306	366
6	387	366
7	496	366
8	644	366
9	756	366
10	852	366
11	950	366
12	1070	366
13	1174	366
14	1267	366
15	1319	366
16	1335	366
17	1337	366

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 t #s(literal 7716708525960861/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 t #s(literal 127999999999999992282773295565206859022336 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x)) (fma.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x))) x)) x)))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(if (<=.f64 t #s(literal 7716708525960861/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 t #s(literal 1668739871813211/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x))) (neg.f64 x))))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(if (<=.f64 t #s(literal 7716708525960861/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 t #s(literal 1668739871813211/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x)))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(if (<=.f64 t #s(literal 5088519546561747/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 l #s(literal 85000000000000003444984464265814930029156137083306740944130314950272283147736606504814677411462018914120005036168480652817231021739390172567864670178817606783527794316364742656 binary64)) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 (sqrt.f64 x) l) t))
(if (<=.f64 l #s(literal 44999999999999998929293561798595525486596488584372593359403564889719845517065610770668150476985858153680737709659416223417359949501160067236492473508262094854183256360856059904 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 (sqrt.f64 x) l) t))
(if (<=.f64 t #s(literal 5189195632069809/960962154087001629436308185025184878247905227974336452694771122017616840015261658617268505418282416748614914455642299215255384405286687137505466996049907860485085046091635529899088428785810612776957410293491536147754283397719630991265870577566668501257551872 binary64)) (*.f64 (sqrt.f64 x) (/.f64 t l)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
#s(literal 1 binary64)

Outputs
(if (<=.f64 t #s(literal 7716708525960861/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 t #s(literal 127999999999999992282773295565206859022336 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x)) (fma.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x))) x)) x)))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(if (<=.f64 t #s(literal 7716708525960861/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 t #s(literal 127999999999999992282773295565206859022336 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (-.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x)) (fma.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x))) x) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) #s(literal -2 binary64))) x)))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(if (<=.f64 t #s(literal 7716708525960861/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 t #s(literal 1668739871813211/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x))) (neg.f64 x))))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(if (<=.f64 t #s(literal 7716708525960861/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 t #s(literal 1668739871813211/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x)) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)))) x)))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(if (<=.f64 t #s(literal 7716708525960861/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 t #s(literal 1668739871813211/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x)))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(if (<=.f64 t #s(literal 7716708525960861/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 t #s(literal 1668739871813211/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x) (fma.f64 #s(literal 2 binary64) (+.f64 (.f64 t t) (/.f64 (.f64 t t) x)) (/.f64 (*.f64 l l) x))))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(if (<=.f64 t #s(literal 5088519546561747/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 t #s(literal 5088519546561747/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 l #s(literal 85000000000000003444984464265814930029156137083306740944130314950272283147736606504814677411462018914120005036168480652817231021739390172567864670178817606783527794316364742656 binary64)) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 (sqrt.f64 x) l) t))
(if (<=.f64 l #s(literal 85000000000000003444984464265814930029156137083306740944130314950272283147736606504814677411462018914120005036168480652817231021739390172567864670178817606783527794316364742656 binary64)) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 t (/.f64 (sqrt.f64 x) l)))
(if (<=.f64 l #s(literal 44999999999999998929293561798595525486596488584372593359403564889719845517065610770668150476985858153680737709659416223417359949501160067236492473508262094854183256360856059904 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 (sqrt.f64 x) l) t))
(if (<=.f64 l #s(literal 44999999999999998929293561798595525486596488584372593359403564889719845517065610770668150476985858153680737709659416223417359949501160067236492473508262094854183256360856059904 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 t (/.f64 (sqrt.f64 x) l)))
(if (<=.f64 t #s(literal 5189195632069809/960962154087001629436308185025184878247905227974336452694771122017616840015261658617268505418282416748614914455642299215255384405286687137505466996049907860485085046091635529899088428785810612776957410293491536147754283397719630991265870577566668501257551872 binary64)) (*.f64 (sqrt.f64 x) (/.f64 t l)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
#s(literal 1 binary64)

soundness869.0ms (6.5%)

Memory

-8.2MiB live, 752.1MiB allocated

Rules

10 416×	`lower-fma.f64`
10 416×	`lower-fma.f32`
9 668×	`lower-*.f64`
9 668×	`lower-*.f32`
7 590×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	230
0	73	214
1	277	196
2	2102	196
0	8341	196
0	1055	11625
1	3471	10488
0	8775	10155
0	676	10349
1	2332	9162
0	8701	8754
0	41	248
0	78	244
1	330	211
2	2908	207
0	8573	205

Stop Event

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

Compiler

Compiled 820 to 415 computations (49.4% saved)

preprocess126.0ms (0.9%)

Memory: 14.1MiB live, 241.7MiB allocated
Remove: (abs l)
Compiler: Compiled 1 440 to 444 computations (69.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	37	291
0	69	291
1	107	291
2	178	289
3	259	289
4	319	289
5	438	289
6	501	289
7	520	273
8	541	273
9	556	273
10	557	273
0	557	263

Iter	Nodes	Cost
0	37	291
0	69	291
1	107	291
2	178	289
3	259	289
4	319	289
5	438	289
6	501	289
7	520	273
8	541	273
9	556	273
10	557	273
0	557	263

analyze347.0ms (2.6%)

sample3.5s (26.4%)

preprocess528.0ms (3.9%)

explain249.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify441.0ms (3.3%)

localize88.0ms (0.7%)

series82.0ms (0.6%)

rewrite670.0ms (5%)

simplify475.0ms (3.5%)

eval111.0ms (0.8%)

prune94.0ms (0.7%)

simplify271.0ms (2%)

localize302.0ms (2.2%)

series88.0ms (0.7%)

rewrite334.0ms (2.5%)

simplify422.0ms (3.1%)

eval153.0ms (1.1%)

prune150.0ms (1.1%)

simplify246.0ms (1.8%)

localize244.0ms (1.8%)

series72.0ms (0.5%)

rewrite310.0ms (2.3%)

simplify437.0ms (3.3%)

eval213.0ms (1.6%)

prune174.0ms (1.3%)

simplify33.0ms (0.2%)

localize208.0ms (1.5%)

series56.0ms (0.4%)

rewrite279.0ms (2.1%)

simplify717.0ms (5.3%)

eval239.0ms (1.8%)

prune260.0ms (1.9%)

regimes140.0ms (1%)

regimes27.0ms (0.2%)

regimes24.0ms (0.2%)

regimes23.0ms (0.2%)

regimes40.0ms (0.3%)

regimes15.0ms (0.1%)

regimes11.0ms (0.1%)

regimes14.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch92.0ms (0.7%)

bsearch25.0ms (0.2%)

bsearch2.0ms (0%)

bsearch23.0ms (0.2%)

bsearch38.0ms (0.3%)

bsearch24.0ms (0.2%)

bsearch35.0ms (0.3%)

simplify59.0ms (0.4%)

soundness869.0ms (6.5%)

preprocess126.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	37	291
0	69	291
1	107	291
2	178	289
3	259	289
4	319	289
5	438	289
6	501	289
7	520	273
8	541	273
9	556	273
10	557	273
0	557	263