Metrics for Toniolo and Linder, Equation (7)

analyze326.0ms (2.3%)

Memory

9.0MiB live, 523.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 29 to 20 computations (31% saved)

sample3.6s (25.6%)

Memory

5.4MiB live, 4 291.2MiB allocated

Samples

711.0ms	5 412×	0	valid
678.0ms	2 673×	1	valid
449.0ms	2 786×	0	invalid
398.0ms	1 681×	1	invalid
91.0ms	171×	2	valid
18.0ms	72×	2	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-mult: 577.0ms (32% of total)

ival-sqrt: 268.0ms (14.9% of total)

ival-sub: 267.0ms (14.8% of total)

ival-add: 249.0ms (13.8% of total)

ival-div: 236.0ms (13.1% of total)

adjust: 177.0ms (9.8% of total)

exact: 14.0ms (0.8% of total)

ival-true: 11.0ms (0.6% of total)

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

Bogosity

preprocess578.0ms (4.2%)

Memory

-27.4MiB live, 1 024.0MiB 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)

explain245.0ms (1.8%)

Memory

20.4MiB live, 500.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
120	-	1	(2.68965687793436e+73 3.408178675802754e-280 5.540952969979567e-161)	`(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)))`
80	-	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	92	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	92
↳	`(.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	106
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	79
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	overflow	106
↳	`(*.f64 t t)`	overflow	79
↳	`(*.f64 l l)`	overflow	88
`-.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	44	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	106
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	79
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	overflow	106
↳	`(*.f64 t t)`	overflow	79
↳	`(*.f64 l l)`	overflow	44
↳	`(*.f64 l l)`	overflow	44
`-.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	36	1
`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	27	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	27
↳	`(.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	20
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	underflow	48
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	underflow	20
↳	`(*.f64 t t)`	underflow	48
↳	`(*.f64 l l)`	underflow	172

Confusion

	Predicted +	Predicted -
+	169	1
-	0	86

Precision

1.0

Recall

0.9941176470588236

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	169	0	1
-	0	1	85

Precision?

0.9941176470588236

Recall?

0.9941176470588236

Freqs

test

number	freq
0	87
1	139
2	30

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms	342×	0	valid
36.0ms	160×	1	valid
3.0ms	10×	2	valid

Compiler

Compiled 326 to 76 computations (76.7% saved)

Precisions

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

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

ival-div: 9.0ms (16.7% of total)

ival-sqrt: 9.0ms (16.7% of total)

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

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

adjust: 5.0ms (9.3% of total)

ival-true: 1.0ms (1.9% of total)

exact: 1.0ms (1.9% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune3.0ms (0%)

Memory

-37.3MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	35.4%	(/.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

▶

35.4%

(/.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)

simplify941.0ms (6.8%)

Memory

40.1MiB live, 674.6MiB 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)

localize95.0ms (0.7%)

Memory

-22.8MiB live, 95.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
✓	accuracy	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	accuracy	72.3%	(-.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	56.3%	(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

28.0ms	171×	0	valid
18.0ms	80×	1	valid
1.0ms	5×	2	valid

Compiler

Compiled 133 to 20 computations (85% saved)

Precisions

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

ival-mult: 15.0ms (44.1% of total)

ival-sub: 4.0ms (11.8% of total)

ival-div: 4.0ms (11.8% of total)

ival-sqrt: 4.0ms (11.8% of total)

adjust: 3.0ms (8.8% of total)

ival-add: 3.0ms (8.8% of total)

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

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

exact: 0.0ms (0% of total)

series58.0ms (0.4%)

Memory

15.9MiB live, 131.4MiB allocated

Counts

4 → 120

Calls

Call 1

Inputs
#<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))>
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) 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))))>

Outputs
#<alt (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))>
#<alt (+ (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (* 1/2 (* (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))>
#<alt (+ (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (* x (+ (* -1/2 (* (* x (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (* 1/2 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))))>
#<alt (+ (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (* x (+ (* 1/2 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (* x (+ (* -1/2 (* (* x (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* -1/2 (/ (* (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 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)))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (* -1/2 (* (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))))))>
#<alt (* t (sqrt 2))>
#<alt (+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2)))>
#<alt (+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2))))>
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Calls

30 calls:

Time	Variable		Point	Expression
8.0ms	l	@	inf	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
6.0ms	x	@	0	(/ (* (sqrt 2) t) (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))))
3.0ms	l	@	0	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
3.0ms	t	@	inf	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))

rewrite397.0ms (2.9%)

Memory

-19.5MiB live, 747.2MiB 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	74
0	31	74
1	116	74
2	928	73
0	8815	70

Stop Event

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

Counts

4 → 351

Calls

Call 1

Inputs
(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 (sqrt.f64 #s(literal 2 binary64)) 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))))

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

simplify470.0ms (3.4%)

Memory

4.6MiB live, 959.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 338×	`lower-fma.f64`
10 338×	`lower-fma.f32`
9 600×	`lower-*.f64`
9 600×	`lower-*.f32`
3 954×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	670	10103
1	2312	8916
0	8652	8526

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

eval70.0ms (0.5%)

Memory: 24.7MiB live, 179.5MiB allocated
Compiler: Compiled 30 123 to 1 958 computations (93.5% saved)

prune87.0ms (0.6%)

Memory

-33.5MiB live, 215.3MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	451	20	471
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	452	20	472

Accuracy

92.3%

Counts

472 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.8%	(/.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 t (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
▶	78.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))
	76.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
▶	16.7%	(/.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)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 l l)))))
	32.9%	(/.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)))))
	12.6%	(/.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 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (neg.f64 (.f64 l l)))))
	24.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (neg.f64 (*.f64 l l)))))
	33.3%	(/.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 #s(literal 1 binary64) x)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (neg.f64 (*.f64 l l)))))
	23.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l) l (-.f64 (/.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (.f64 #s(literal 2 binary64) (.f64 t t))) (-.f64 #s(literal 1 binary64) x)) (.f64 l l)))))
▶	39.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))))))
	26.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 t t)) (+.f64 x #s(literal -1 binary64)))))
	3.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (/.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) l) l) (+.f64 x #s(literal -1 binary64))) (.f64 l l))))
	50.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (-.f64 (fma.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)) (neg.f64 x))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (*.f64 l l) x))) x))))
	28.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (fma.f64 l (neg.f64 l) (/.f64 (.f64 l (.f64 l (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64)))) (/.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (.f64 #s(literal 2 binary64) (.f64 t t))) (-.f64 #s(literal 1 binary64) x)))))
	50.3%	(/.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))))
	3.4%	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) l) l) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))))
	77.4%	(.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
▶	4.2%	(.f64 (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 t (sqrt.f64 #s(literal 2 binary64))))
▶	75.5%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
	35.4%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (*.f64 l l)))))

Compiler

Compiled 1 134 to 694 computations (38.8% saved)

simplify340.0ms (2.4%)

Memory

34.6MiB live, 584.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 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 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 l l)))))
✓	cost-diff	704	(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (.f64 l l)))
✓	cost-diff	0	(sqrt.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (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 (sqrt.f64 #s(literal 2 binary64)) t)
✓	cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))))))
✓	cost-diff	0	(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))))
✓	cost-diff	0	(.f64 (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 t (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	320	(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l)))
✓	cost-diff	640	(-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.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 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	cost-diff	2240	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))

Rules

10 746×	`lower-fma.f32`
10 736×	`lower-fma.f64`
3 542×	`lower-*.f32`
3 522×	`lower-*.f64`
3 044×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	439
0	77	424
1	150	416
2	357	408
3	1009	400
4	3377	394
5	6853	394
0	8491	390

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

localize210.0ms (1.5%)

Memory

-6.9MiB live, 328.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 l l)
✓	accuracy	100.0%	(sqrt.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (.f64 l l))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(neg.f64 (*.f64 l l))
✓	accuracy	100.0%	(*.f64 l l)
✓	accuracy	100.0%	(sqrt.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(neg.f64 l)
✓	accuracy	100.0%	(.f64 #s(literal -2 binary64) (.f64 t t))
✓	accuracy	100.0%	(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))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(neg.f64 l)
✓	accuracy	100.0%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	accuracy	100.0%	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))

Samples

139.0ms

256×

invalid

Compiler

Compiled 467 to 47 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-mult: 53.0ms (63.5% of total)

ival-sqrt: 10.0ms (12% of total)

ival-div: 9.0ms (10.8% of total)

ival-add: 8.0ms (9.6% of total)

ival-neg: 2.0ms (2.4% of total)

ival-sub: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

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

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

series38.0ms (0.3%)

Memory

-13.8MiB live, 65.2MiB allocated

Counts

13 → 180

Calls

Call 1

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

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

Calls

45 calls:

Time	Variable		Point	Expression
5.0ms	t	@	inf	(sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l))))
3.0ms	l	@	0	(sqrt (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))))
2.0ms	t	@	-inf	(sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l))))
1.0ms	x	@	inf	(sqrt (+ (* (neg l) l) (* (/ (+ x 1) (+ x -1)) (+ (* 2 (* t t)) (* l l)))))
1.0ms	t	@	0	(sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l))))

rewrite282.0ms (2%)

Memory

28.6MiB live, 580.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 612×	`lower-/.f32`
4 606×	`lower-/.f64`
4 086×	`lower-fma.f32`
4 076×	`lower-fma.f64`
4 024×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	102
0	67	93
1	253	92
2	2174	92
0	8591	92

Stop Event

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

Counts

13 → 182

Calls

Call 1

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

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

simplify400.0ms (2.9%)

Memory

-0.1MiB live, 716.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 998×	`lower-fma.f64`
8 998×	`lower-fma.f32`
8 000×	`lower-*.f64`
8 000×	`lower-*.f32`
3 168×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	697	7596
1	2171	6597
0	8382	6228

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

Outputs
(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 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3))))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x x))) #s(literal 1 binary64)))
(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))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
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(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
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(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))
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(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))
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(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))))
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(* -1 (* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
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(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))
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(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))))
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(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))))
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(+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2))))))
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(+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (/ (pow (+ (* 2 (pow t 2)) (pow l 2)) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 2) (sqrt 2))))) (+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2)))))))
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(+ (* -1/2 (/ (+ (* -2 (+ (* 2 (pow t 2)) (pow l 2))) (/ (* (+ (* 2 (pow t 2)) (pow l 2)) (- (+ (* 2 (pow t 2)) (pow l 2)) (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (/ (pow (+ (* 2 (pow t 2)) (pow l 2)) 2) (* (pow t 2) (pow (sqrt 2) 2)))))) (* (pow t 2) (pow (sqrt 2) 2)))) (* t (* (pow x 3) (sqrt 2))))) (+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (/ (pow (+ (* 2 (pow t 2)) (pow l 2)) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 2) (sqrt 2))))) (+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2))))))))
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(* t (sqrt 2))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (+ (* -1 (/ (* (+ (* 2 (pow t 2)) (pow l 2)) (- (+ (* 2 (pow t 2)) (pow l 2)) (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (/ (pow (+ (* 2 (pow t 2)) (pow l 2)) 2) (* (pow t 2) (pow (sqrt 2) 2)))))) (* (pow t 2) (pow (sqrt 2) 2)))) (* 2 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (/ (pow (+ (* 2 (pow t 2)) (pow l 2)) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (sqrt 2))))) x)) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (sqrt 2))))) x)) (* t (sqrt 2)))
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eval62.0ms (0.4%)

Memory: -1.0MiB live, 110.4MiB allocated
Compiler: Compiled 22 322 to 1 507 computations (93.2% saved)

prune62.0ms (0.4%)

Memory

12.2MiB live, 131.0MiB allocated

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	517	5	522
Fresh	6	9	15
Picked	3	2	5
Done	0	0	0
Total	526	16	542

Accuracy

93.3%

Counts

542 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.8%	(/.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 t (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
	77.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
✓	78.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))
	9.2%	(/.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))))))
	24.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (neg.f64 (*.f64 l l)))))
	26.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 t t)) (+.f64 x #s(literal -1 binary64)))))
	3.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (/.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) l) l) (+.f64 x #s(literal -1 binary64))) (.f64 l l))))
	50.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (-.f64 (fma.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)) (neg.f64 x))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (*.f64 l l) x))) x))))
	28.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (fma.f64 l (neg.f64 l) (/.f64 (.f64 l (.f64 l (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64)))) (/.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (.f64 #s(literal 2 binary64) (.f64 t t))) (-.f64 #s(literal 1 binary64) x)))))
	50.3%	(/.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))))
▶	2.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (.f64 (*.f64 l l) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))
▶	77.4%	(.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
	3.5%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 l l) #s(literal -2 binary64)))) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
✓	75.5%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
▶	35.4%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (*.f64 l l)))))
▶	76.7%	#s(literal 1 binary64)

Compiler

Compiled 751 to 469 computations (37.5% saved)

simplify343.0ms (2.5%)

Memory

-21.8MiB live, 333.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
✓	cost-diff	640	(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 l l))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 l l)))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 l l))))
✓	cost-diff	0	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (*.f64 l l)))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (.f64 (*.f64 l l) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))
✓	cost-diff	128	(.f64 (.f64 l l) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.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))))
✓	cost-diff	0	(.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))

Rules

8 622×	`lower-fma.f32`
8 618×	`lower-fma.f64`
7 720×	`lower-*.f32`
7 696×	`lower-*.f64`
3 086×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	389
0	67	389
1	131	387
2	309	383
3	738	383
4	2837	383
5	7010	383
0	8035	378

Stop Event

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

Calls

Call 1

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

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

localize208.0ms (1.5%)

Memory

8.5MiB live, 375.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.6%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	accuracy	99.6%	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	76.6%	(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
✓	accuracy	99.8%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (*.f64 l l)))))
✓	accuracy	99.5%	(/.f64 #s(literal 2 binary64) (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 l l)))
✓	accuracy	77.3%	(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 l l))
✓	accuracy	73.7%	(sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 l l))))
✓	accuracy	97.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (.f64 (*.f64 l l) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))
✓	accuracy	94.7%	(.f64 (.f64 l l) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
✓	accuracy	76.3%	(sqrt.f64 (.f64 (.f64 l l) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))
✓	accuracy	43.4%	(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
✓	accuracy	99.0%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))

Samples

63.0ms	115×	1	valid
31.0ms	97×	0	invalid
28.0ms	36×	2	valid
4.0ms	8×	0	valid

Compiler

Compiled 404 to 40 computations (90.1% saved)

Precisions

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

ival-mult: 29.0ms (34.6% of total)

ival-add: 15.0ms (17.9% of total)

ival-div: 14.0ms (16.7% of total)

ival-sqrt: 12.0ms (14.3% of total)

adjust: 8.0ms (9.5% of total)

ival-sub: 4.0ms (4.8% of total)

exact: 1.0ms (1.2% of total)

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

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

series65.0ms (0.5%)

Memory

-6.2MiB live, 107.3MiB allocated

Counts

16 → 324

Calls

Call 1

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

Calls

81 calls:

Time	Variable		Point	Expression
10.0ms	x	@	-inf	(sqrt (* (* l l) (+ -1 (/ (+ x 1) (+ x -1)))))
3.0ms	x	@	0	(/ 2 (- (* (/ (+ x 1) (+ x -1)) (+ (* 2 (* t t)) (* l l))) (* l l)))
2.0ms	x	@	0	(sqrt (/ 2 (- (* (/ (+ x 1) (+ x -1)) (+ (* 2 (* t t)) (* l l))) (* l l))))
2.0ms	t	@	0	(/ (* (sqrt 2) t) (sqrt (* (* l l) (+ -1 (/ (+ x 1) (+ x -1))))))
2.0ms	x	@	0	(/ (* 2 (+ (* 2 (* t t)) (* l l))) (* t (* x (sqrt 2))))

rewrite383.0ms (2.8%)

Memory

9.5MiB live, 562.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 872×	`lower-/.f32`
4 862×	`lower-/.f64`
4 632×	`lower-fma.f32`
4 630×	`lower-fma.f64`
4 606×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	191
0	60	187
1	215	185
2	1616	182
0	8362	182

Stop Event

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

Counts

16 → 623

Calls

Call 1

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

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

simplify468.0ms (3.4%)

Memory

40.9MiB live, 586.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 682×	`lower-*.f64`
7 682×	`lower-*.f32`
5 430×	`lower-fma.f64`
5 430×	`lower-fma.f32`
3 934×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1111	19166
1	3741	18697
0	8308	17731

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

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

eval208.0ms (1.5%)

Memory: -9.8MiB live, 264.3MiB allocated
Compiler: Compiled 51 634 to 3 855 computations (92.5% saved)

prune138.0ms (1%)

Memory

-11.0MiB live, 302.7MiB allocated

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	975	14	989
Fresh	7	2	9
Picked	2	3	5
Done	1	1	2
Total	985	20	1 005

Accuracy

99.9%

Counts

1 005 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.3%	(/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)
▶	72.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
	23.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (*.f64 l (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
	9.2%	(/.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))))))
	3.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 (.f64 l l) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 l l)))))
	15.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (.f64 (*.f64 l l) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
	15.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) x))))
	76.1%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
✓	77.4%	(.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
▶	78.6%	(*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
	3.5%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 l l) #s(literal -2 binary64)))) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
✓	75.5%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
	15.0%	(.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) l) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (*.f64 l (sqrt.f64 #s(literal 1/2 binary64)))))))
	26.1%	(.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (*.f64 t t) (+.f64 x #s(literal 1 binary64))))))
✓	35.4%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (*.f64 l l)))))
	50.3%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (.f64 l l) x))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)))))
▶	7.8%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (.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 l l)))))
▶	3.4%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (.f64 l (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l (neg.f64 l))))))
▶	38.4%	(.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t t))))
✓	76.7%	#s(literal 1 binary64)

Compiler

Compiled 729 to 492 computations (32.5% saved)

simplify317.0ms (2.3%)

Memory

36.3MiB live, 516.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
✓	cost-diff	640	(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (.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 l l)))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 2 binary64) (.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 l l))))
✓	cost-diff	0	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (.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 l l)))))
✓	cost-diff	1024	(.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 l l))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 l (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l (neg.f64 l))))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 2 binary64) (*.f64 l (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l (neg.f64 l)))))
✓	cost-diff	0	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (.f64 l (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l (neg.f64 l))))))
✓	cost-diff	128	(fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l (neg.f64 l))
✓	cost-diff	0	(*.f64 t t)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 t t))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)))
✓	cost-diff	0	(.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t t))))
✓	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	320	(*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))

Rules

10 432×	`lower-fma.f32`
10 428×	`lower-fma.f64`
5 016×	`lower-*.f32`
4 992×	`lower-*.f64`
1 808×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	358
0	77	340
1	134	338
2	291	334
3	853	334
4	2993	334
5	4595	334
6	6845	334
0	8074	323

Stop Event

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

Calls

Call 1

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

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

localize242.0ms (1.7%)

Memory

-27.0MiB live, 271.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.6%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	accuracy	99.6%	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	90.1%	(/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64)))))
✓	accuracy	95.8%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (.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 l l)))))
✓	accuracy	94.7%	(.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 l l))
✓	accuracy	77.9%	(sqrt.f64 (/.f64 #s(literal 2 binary64) (.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 l l))))
✓	accuracy	43.4%	(+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal 2 binary64) (*.f64 l (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l (neg.f64 l))))
✓	accuracy	95.8%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (.f64 l (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l (neg.f64 l))))))
✓	accuracy	77.9%	(sqrt.f64 (/.f64 #s(literal 2 binary64) (*.f64 l (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l (neg.f64 l)))))
✓	accuracy	59.0%	(fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l (neg.f64 l))
✓	accuracy	100.0%	(*.f64 t t)
✓	accuracy	99.9%	(.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t t))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 t t))
✓	accuracy	70.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
✓	accuracy	100.0%	(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))

Samples

72.0ms	123×	1	valid
55.0ms	28×	2	valid
30.0ms	97×	0	invalid
16.0ms	8×	0	valid

Compiler

Compiled 367 to 45 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

adjust: 41.0ms (30.4% of total)

ival-mult: 29.0ms (21.5% of total)

ival-add: 25.0ms (18.5% of total)

ival-div: 24.0ms (17.8% of total)

ival-sqrt: 15.0ms (11.1% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series68.0ms (0.5%)

Memory

11.4MiB live, 127.5MiB allocated

Counts

20 → 372

Calls

Call 1

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

Calls

93 calls:

Time	Variable		Point	Expression
19.0ms	l	@	0	(/ (* 2 (* l l)) (* t (* x (sqrt 2))))
9.0ms	x	@	-inf	(* t (sqrt (/ 2 (* l (+ (* (/ (+ x 1) (+ x -1)) l) (neg l))))))
3.0ms	l	@	-inf	(+ (* (/ (+ x 1) (+ x -1)) l) (neg l))
3.0ms	x	@	-inf	(sqrt (/ 2 (* l (+ (* (/ (+ x 1) (+ x -1)) l) (neg l)))))
2.0ms	t	@	0	(* t (sqrt (/ 2 (* l (+ (* (/ (+ x 1) (+ x -1)) l) (neg l))))))

rewrite342.0ms (2.5%)

Memory

-9.5MiB live, 468.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 296×	`lower-/.f32`
5 282×	`lower-/.f64`
5 250×	`lower-*.f32`
5 226×	`lower-*.f64`
2 662×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	196
0	71	186
1	241	174
2	1837	164
0	8885	164

Stop Event

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

Counts

20 → 749

Calls

Call 1

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

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

simplify392.0ms (2.8%)

Memory

-0.3MiB live, 581.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 944×	`lower-fma.f64`
7 944×	`lower-fma.f32`
6 990×	`lower-*.f64`
6 990×	`lower-*.f32`
3 272×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	635	6681
1	2068	6206
2	7467	6190
0	8126	6051

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 368

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

Outputs
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ x (sqrt -1)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))
(+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))
(fma.f64 x (fma.f64 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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))))
(pow (sqrt -1) 2)
#s(literal -1 binary64)
(+ (/ 1 x) (pow (sqrt -1) 2))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) x)) 1) x)) (pow (sqrt -1) 2))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) x))) x)) 1) x)) (pow (sqrt -1) 2))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.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)) x)) x))
(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))))
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(.f64 x (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/128 binary64) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (.f64 l (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 t l)))))))
(* -1 (* (/ (* t (* (sqrt -1) (* (sqrt -1/2) (sqrt 2)))) l) (sqrt x)))
(neg.f64 (.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 t l))))
(* -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))))))
(neg.f64 (.f64 x (fma.f64 t (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) l)) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (.f64 l (sqrt.f64 #s(literal -1/2 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal -1/4 binary64))))))
(* -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)))))))
(.f64 (neg.f64 x) (fma.f64 t (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) l)) (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (.f64 l (sqrt.f64 #s(literal -1/2 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/4 binary64)) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (.f64 l (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/32 binary64))))))
(* -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))))))))
(neg.f64 (.f64 x (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 l (sqrt.f64 #s(literal -1/2 binary64)))) (fma.f64 t (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) l)) (fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (.f64 t (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))) (.f64 l (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64)))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (.f64 l (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/32 binary64))))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))) (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))) (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))) (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))) (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))) (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))) (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))) (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))) (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
(* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))) (neg.f64 (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))))
(* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))) (neg.f64 (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))))
(* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))) (neg.f64 (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))))
(* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))) (neg.f64 (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x t)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))

eval206.0ms (1.5%)

Memory: 24.6MiB live, 291.6MiB allocated
Compiler: Compiled 33 601 to 4 967 computations (85.2% saved)

prune185.0ms (1.3%)

Memory

-2.9MiB live, 413.6MiB allocated

Pruning

30 alts after pruning (26 fresh and 4 done)

	Pruned	Kept	Total
New	1 332	21	1 353
Fresh	6	5	11
Picked	4	1	5
Done	1	3	4
Total	1 343	30	1 373

Accuracy

100.0%

Counts

1 373 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.3%	(/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)
	72.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x t))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
	80.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 l #s(literal 2 binary64)) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 l t)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
	23.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (*.f64 l (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
	3.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 (.f64 l l) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 l l)))))
	15.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) x))))
	77.3%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
	76.1%	(*.f64 (/.f64 t (sqrt.f64 t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))
	40.9%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
	76.5%	(*.f64 (/.f64 #s(literal 1 binary64) t) t)
	38.7%	(*.f64 (sqrt.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
	40.0%	(.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
	38.6%	(.f64 (sqrt.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
	15.5%	(.f64 (sqrt.f64 (/.f64 x (.f64 l (+.f64 l l)))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
✓	75.5%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
	9.5%	(.f64 x (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 l (+.f64 l l))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (*.f64 x (+.f64 l l))))))))
	76.0%	(.f64 t (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
	23.2%	(.f64 t (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 x))))
	15.2%	(.f64 t (sqrt.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x (.f64 l (.f64 l #s(literal -2 binary64)))) (/.f64 #s(literal 2 binary64) (.f64 l (*.f64 l #s(literal -2 binary64)))))))
	15.5%	(.f64 t (sqrt.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (*.f64 l (+.f64 l l)))))
	15.5%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 l (+.f64 l l)) x))))
✓	35.4%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (*.f64 l l)))))
	50.3%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (.f64 l l) x))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)))))
	18.1%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (.f64 l (/.f64 (+.f64 l (+.f64 (/.f64 (+.f64 l l) x) l)) x)))))
	18.0%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (.f64 l (/.f64 (+.f64 l l) x)))))
	3.5%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (.f64 l (*.f64 l #s(literal -2 binary64))))))
✓	38.4%	(.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t t))))
	3.9%	(.f64 t (sqrt.f64 (/.f64 #s(literal -2 binary64) (.f64 l (-.f64 l (/.f64 (fma.f64 x l l) (+.f64 #s(literal -1 binary64) x)))))))
	78.6%	(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
✓	76.7%	#s(literal 1 binary64)

Compiler

Compiled 1 688 to 650 computations (61.5% saved)

regimes105.0ms (0.8%)

Memory

-6.1MiB live, 184.4MiB allocated

Counts

61 → 3

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

21.0ms	l
19.0ms	x
18.0ms	t
17.0ms	(*.f64 l l)
14.0ms	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
82.0%	2	`x`
86.5%	3	`l`
86.8%	3	`t`
81.8%	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))))`
80.2%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
86.5%	3	`(*.f64 l l)`

Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes21.0ms (0.2%)

Memory

4.6MiB live, 40.8MiB allocated

Counts

59 → 3

Calls

Call 1

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

Outputs

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

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

18.0ms

Results

Accuracy	Segments	Branch
86.7%	3	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes49.0ms (0.4%)

Memory

8.6MiB live, 92.6MiB allocated

Counts

55 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

16.0ms	(*.f64 l l)
16.0ms	t
15.0ms	l

Results

Accuracy	Segments	Branch
82.3%	2	`(*.f64 l l)`
82.3%	2	`l`
81.9%	2	`t`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes20.0ms (0.1%)

Memory

3.2MiB live, 42.0MiB allocated

Counts

34 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
82.3%	2	`(*.f64 l l)`
82.3%	2	`l`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes41.0ms (0.3%)

Memory

5.5MiB live, 83.8MiB allocated

Counts

24 → 2

Calls

Call 1

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

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

Calls

6 calls:

8.0ms	l
8.0ms	t
7.0ms	x
6.0ms	(*.f64 l l)
6.0ms	(/.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
78.6%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
78.6%	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))))`
80.7%	2	`t`
78.6%	1	`x`
78.6%	1	`(*.f64 l l)`
78.6%	1	`l`

Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes7.0ms (0%)

Memory

-28.4MiB live, 11.8MiB allocated

Counts

13 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
80.3%	2	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
78.6%	1	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

Memory

-9.3MiB live, 29.0MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

6 calls:

3.0ms	(*.f64 l l)
2.0ms	l
2.0ms	t
2.0ms	x
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
77.3%	1	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
77.3%	1	`(*.f64 l l)`
77.3%	1	`l`
77.3%	1	`x`
77.3%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
77.3%	1	`t`

Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes7.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

6 calls:

1.0ms	t
1.0ms	l
1.0ms	x
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
76.7%	1	`l`
76.7%	1	`t`
76.7%	1	`x`
76.7%	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))))`
76.7%	1	`(*.f64 l l)`
76.7%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 58 to 38 computations (34.5% saved)

bsearch58.0ms (0.4%)

Memory

15.8MiB live, 90.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	9790762231129012000.0	15201556636059623000.0
38.0ms	5.540952969979567e-161	8.028140782869841e-151

Samples

19.0ms	104×	1	valid
12.0ms	117×	0	valid
5.0ms	27×	1	invalid
2.0ms	8×	2	invalid
1.0ms	3×	2	valid
0.0ms	2×	0	invalid

Compiler

Compiled 1 079 to 546 computations (49.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 8.0ms (27% of total)

ival-div: 5.0ms (16.9% of total)

ival-sqrt: 5.0ms (16.9% of total)

ival-sub: 4.0ms (13.5% of total)

adjust: 4.0ms (13.5% of total)

ival-add: 4.0ms (13.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch40.0ms (0.3%)

Memory

-0.8MiB live, 51.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	9790762231129012000.0	15201556636059623000.0
37.0ms	5.540952969979567e-161	8.028140782869841e-151

Samples

21.0ms	38×	0	valid
7.0ms	38×	1	valid
4.0ms	20×	1	invalid
1.0ms	4×	2	valid
0.0ms	1×	0	invalid

Compiler

Compiled 869 to 462 computations (46.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-sqrt: 19.0ms (65.7% of total)

ival-mult: 3.0ms (10.4% of total)

ival-sub: 2.0ms (6.9% of total)

ival-div: 2.0ms (6.9% of total)

adjust: 2.0ms (6.9% of total)

ival-add: 2.0ms (6.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch37.0ms (0.3%)

Memory

-25.0MiB live, 45.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	2.04175792768549e+125	7.140677755890945e+127

Samples

13.0ms	73×	1	valid
5.0ms	55×	0	valid
2.0ms	9×	1	invalid
0.0ms	5×	0	invalid

Compiler

Compiled 273 to 208 computations (23.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 4.0ms (25.3% of total)

ival-div: 3.0ms (19% of total)

ival-sub: 2.0ms (12.7% of total)

ival-add: 2.0ms (12.7% of total)

adjust: 2.0ms (12.7% of total)

ival-sqrt: 2.0ms (12.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.1690620275103162e+131	1.2123769347998136e+131

Compiler

Compiled 33 to 24 computations (27.3% saved)

bsearch30.0ms (0.2%)

Memory

4.1MiB live, 40.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	2.4095737092480548e-214	1.2246916724783e-213

Samples

11.0ms	63×	1	valid
7.0ms	11×	1	invalid
3.0ms	30×	0	valid
1.0ms	3×	2	valid
1.0ms	7×	0	invalid
1.0ms	2×	2	invalid

Compiler

Compiled 201 to 150 computations (25.4% saved)

Precisions

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

ival-mult: 3.0ms (21.3% of total)

ival-sub: 2.0ms (14.2% of total)

adjust: 2.0ms (14.2% of total)

ival-div: 2.0ms (14.2% of total)

ival-sqrt: 2.0ms (14.2% of total)

ival-add: 2.0ms (14.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch31.0ms (0.2%)

Memory

-10.8MiB live, 34.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.4095737092480548e-214	1.2246916724783e-213

Samples

7.0ms	42×	1	valid
3.0ms	34×	0	valid
3.0ms	17×	1	invalid
1.0ms	4×	2	valid
1.0ms	6×	0	invalid
1.0ms	2×	2	invalid

Compiler

Compiled 201 to 150 computations (25.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 3.0ms (24.7% of total)

ival-sub: 2.0ms (16.5% of total)

ival-div: 2.0ms (16.5% of total)

adjust: 2.0ms (16.5% of total)

ival-sqrt: 2.0ms (16.5% of total)

ival-add: 2.0ms (16.5% of total)

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

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

exact: 0.0ms (0% of total)

simplify15.0ms (0.1%)

Memory

27.6MiB live, 27.6MiB allocated

Algorithm

1×	egg-herbie

Rules

72×	`unsub-neg_binary64`
50×	`neg-mul-1_binary64`
46×	`*-commutative_binary64`
32×	`+-commutative_binary64`
28×	`distribute-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	271
1	117	271
2	132	271
3	147	271
4	169	271
5	193	271
6	208	271
7	243	271
8	282	271

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 t #s(literal 5836997474765267/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x t))) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 t #s(literal 12200000000000000000 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (-.f64 (fma.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)) (neg.f64 x))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x))) x)))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(if (<=.f64 t #s(literal 8903894453031763/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x t))) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 t #s(literal 12200000000000000000 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (fma.f64 #s(literal 2 binary64) (.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 l #s(literal 3800000000000000165417670044748931516450023888925095409600108084853533135707880035276154098303528229286021911847482004806303744 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 (*.f64 l (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 l #s(literal 119999999999999997323467840427574019151231457992153637234901496363502431481940220174296281218496563987781620185702972294733615857664 binary64)) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 t (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 x)))))
(if (<=.f64 t #s(literal 7277428557659573/6064523798049644277925701126806650606472211004362096137261922023539261533931159712229993784486900304494092698035668254711607734547323493716579247168129613825017402250081444943555723771998431425098683590600454956058175183022718976 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (.f64 l (/.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 7277428557659573/24258095192198577111702804507226602425888844017448384549047688094157046135724638848919975137947601217976370792142673018846430938189293974866316988672518455300069609000325779774222895087993725700394734362401819824232700732090875904 binary64)) (.f64 t (sqrt.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (*.f64 l (+.f64 l l))))) (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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
#s(literal 1 binary64)

Outputs
(if (<=.f64 t #s(literal 5836997474765267/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x t))) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 t #s(literal 12200000000000000000 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (-.f64 (fma.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)) (neg.f64 x))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x))) x)))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(if (<=.f64 t #s(literal 5836997474765267/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t x))) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 t #s(literal 12200000000000000000 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 (.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)) (fma.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)) (neg.f64 x)))) x)))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(if (<=.f64 t #s(literal 8903894453031763/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x t))) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 t #s(literal 12200000000000000000 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (fma.f64 #s(literal 2 binary64) (.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 8903894453031763/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 l (+.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t x))) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 t #s(literal 12200000000000000000 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (fma.f64 #s(literal 2 binary64) (.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 l #s(literal 3800000000000000165417670044748931516450023888925095409600108084853533135707880035276154098303528229286021911847482004806303744 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 (*.f64 l (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 l #s(literal 3800000000000000165417670044748931516450023888925095409600108084853533135707880035276154098303528229286021911847482004806303744 binary64)) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 l #s(literal 119999999999999997323467840427574019151231457992153637234901496363502431481940220174296281218496563987781620185702972294733615857664 binary64)) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 t (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 x)))))
(if (<=.f64 t #s(literal 7277428557659573/6064523798049644277925701126806650606472211004362096137261922023539261533931159712229993784486900304494092698035668254711607734547323493716579247168129613825017402250081444943555723771998431425098683590600454956058175183022718976 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (.f64 l (/.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 7277428557659573/24258095192198577111702804507226602425888844017448384549047688094157046135724638848919975137947601217976370792142673018846430938189293974866316988672518455300069609000325779774222895087993725700394734362401819824232700732090875904 binary64)) (.f64 t (sqrt.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (*.f64 l (+.f64 l l))))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 t #s(literal 7277428557659573/24258095192198577111702804507226602425888844017448384549047688094157046135724638848919975137947601217976370792142673018846430938189293974866316988672518455300069609000325779774222895087993725700394734362401819824232700732090875904 binary64)) (.f64 t (sqrt.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (*.f64 l (+.f64 l l))))) (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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
#s(literal 1 binary64)

soundness1.5s (10.9%)

Memory

-6.8MiB live, 1 379.9MiB allocated

Rules

13 380×	`lower-fma.f64`
13 380×	`lower-fma.f32`
10 338×	`lower-fma.f64`
10 338×	`lower-fma.f32`
9 600×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	635	6681
1	2068	6206
2	7467	6190
0	8126	6051
0	18	74
0	31	74
1	116	74
2	928	73
0	8815	70
0	1111	19166
1	3741	18697
0	8308	17731
0	38	196
0	71	186
1	241	174
2	1837	164
0	8885	164
0	670	10103
1	2312	8916
0	8652	8526
0	697	7596
1	2171	6597
0	8382	6228
0	33	191
0	60	187
1	215	185
2	1616	182
0	8362	182
0	35	102
0	67	93
1	253	92
2	2174	92
0	8591	92

Stop Event

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

Compiler

Compiled 982 to 618 computations (37.1% saved)

preprocess135.0ms (1%)

Memory: 35.3MiB live, 271.1MiB allocated
Remove: (abs l)
Compiler: Compiled 1 148 to 462 computations (59.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	88	271
1	117	271
2	132	271
3	147	271
4	169	271
5	193	271
6	208	271
7	243	271
8	282	271

Iter	Nodes	Cost
0	88	271
1	117	271
2	132	271
3	147	271
4	169	271
5	193	271
6	208	271
7	243	271
8	282	271

analyze326.0ms (2.3%)

sample3.6s (25.6%)

preprocess578.0ms (4.2%)

explain245.0ms (1.8%)

eval0.0ms (0%)

prune3.0ms (0%)

simplify941.0ms (6.8%)

localize95.0ms (0.7%)

series58.0ms (0.4%)

rewrite397.0ms (2.9%)

simplify470.0ms (3.4%)

eval70.0ms (0.5%)

prune87.0ms (0.6%)

simplify340.0ms (2.4%)

localize210.0ms (1.5%)

series38.0ms (0.3%)

rewrite282.0ms (2%)

simplify400.0ms (2.9%)

eval62.0ms (0.4%)

prune62.0ms (0.4%)

simplify343.0ms (2.5%)

localize208.0ms (1.5%)

series65.0ms (0.5%)

rewrite383.0ms (2.8%)

simplify468.0ms (3.4%)

eval208.0ms (1.5%)

prune138.0ms (1%)

simplify317.0ms (2.3%)

localize242.0ms (1.7%)

series68.0ms (0.5%)

rewrite342.0ms (2.5%)

simplify392.0ms (2.8%)

eval206.0ms (1.5%)

prune185.0ms (1.3%)

regimes105.0ms (0.8%)

regimes21.0ms (0.2%)

regimes49.0ms (0.4%)

regimes20.0ms (0.1%)

regimes41.0ms (0.3%)

regimes7.0ms (0%)

regimes4.0ms (0%)

regimes13.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch58.0ms (0.4%)

bsearch40.0ms (0.3%)

bsearch37.0ms (0.3%)

bsearch1.0ms (0%)

bsearch30.0ms (0.2%)

bsearch31.0ms (0.2%)

simplify15.0ms (0.1%)

soundness1.5s (10.9%)

preprocess135.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	88	271
1	117	271
2	132	271
3	147	271
4	169	271
5	193	271
6	208	271
7	243	271
8	282	271