Metrics for Toniolo and Linder, Equation (7)

analyze323.0ms (2.4%)

Memory

14.1MiB live, 661.5MiB 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)

sample2.9s (21.7%)

Memory

-52.4MiB live, 4 236.9MiB allocated

Samples

844.0ms	5 385×	0	valid
614.0ms	2 707×	1	valid
469.0ms	2 689×	0	invalid
331.0ms	1 609×	1	invalid
44.0ms	145×	2	valid
32.0ms	112×	2	invalid
8.0ms	19×	4	valid

Precisions

Click to see histograms. Total time spent on operations: 1.9s

ival-mult: 753.0ms (40.4% of total)

ival-sqrt: 402.0ms (21.6% of total)

ival-div: 219.0ms (11.8% of total)

ival-sub: 200.0ms (10.7% of total)

ival-add: 175.0ms (9.4% of total)

adjust: 85.0ms (4.6% of total)

exact: 15.0ms (0.8% of total)

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

ival-assert: 4.0ms (0.2% of total)

Bogosity

preprocess575.0ms (4.3%)

Memory

14.3MiB live, 726.3MiB allocated

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Call 2

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

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

Symmetry

(abs l)

(negabs t)

explain365.0ms (2.7%)

Memory

-42.5MiB live, 506.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
108	-	1	(2.3926134721540887e+101 8.159296177167476e-207 2.8397923559668897e-158)	`(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)))`
91	-	0	-	`(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))`
0	-	0	-	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
0	-	0	-	`(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`t`
0	-	0	-	`(.f64 #s(literal 2 binary64) (.f64 t t))`
0	-	0	-	`(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)`
0	-	0	-	`(+.f64 x #s(literal 1 binary64))`
0	-	0	-	`(*.f64 l l)`
0	-	0	-	`(sqrt.f64 #s(literal 2 binary64))`
0	-	0	-	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
0	-	0	-	`(*.f64 t t)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(-.f64 x #s(literal 1 binary64))`
0	-	0	-	`l`
0	-	0	-	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)))`	oflow-rescue	81	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	81
↳	`(.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	102
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	67
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	overflow	102
↳	`(*.f64 t t)`	overflow	67
↳	`(*.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))`	cancellation	47	0
`-.f64`	`(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))`	nan-rescue	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	102
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	67
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	overflow	102
↳	`(*.f64 t t)`	overflow	67
↳	`(*.f64 l l)`	overflow	44
↳	`(*.f64 l l)`	overflow	44
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)))`	uflow-rescue	26	0
↳	`(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))`	underflow	26
↳	`(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))))`	underflow	19
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	underflow	45
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	underflow	19
↳	`(*.f64 t t)`	underflow	45
↳	`(*.f64 l l)`	underflow	140

Confusion

	Predicted +	Predicted -
+	175	1
-	0	80

Precision

1.0

Recall

0.9943181818181818

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	175	0	1
-	0	0	80

Precision?

1.0

Recall?

0.9943181818181818

Freqs

test

number	freq
0	81
1	152
2	23

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

70.0ms	326×	0	valid
53.0ms	180×	1	valid
2.0ms	6×	2	valid

Compiler

Compiled 326 to 76 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-mult: 48.0ms (50.2% of total)

ival-sqrt: 21.0ms (22% of total)

ival-div: 8.0ms (8.4% of total)

ival-add: 7.0ms (7.3% of total)

ival-sub: 6.0ms (6.3% of total)

adjust: 3.0ms (3.1% of total)

exact: 1.0ms (1% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	33.7%	(/.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

▶

33.7%

(/.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)

simplify827.0ms (6.1%)

Memory

32.4MiB live, 792.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize244.0ms (1.8%)

Memory

-5.6MiB live, 148.3MiB 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	68.4%	(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))
✓	accuracy	60.8%	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)))

Samples

99.0ms	163×	0	valid
18.0ms	90×	1	valid
1.0ms	3×	2	valid

Compiler

Compiled 133 to 20 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 8.0ms (32.7% of total)

ival-div: 4.0ms (16.3% of total)

ival-sqrt: 4.0ms (16.3% of total)

ival-sub: 3.0ms (12.3% of total)

ival-add: 3.0ms (12.3% of total)

adjust: 2.0ms (8.2% of total)

exact: 0.0ms (0% of total)

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

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

series100.0ms (0.7%)

Memory

35.9MiB live, 147.6MiB allocated

Counts

6 → 144

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
43.0ms	x	@	inf	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
6.0ms	x	@	-inf	(- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))
5.0ms	x	@	0	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
5.0ms	x	@	-inf	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
4.0ms	t	@	0	(- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))

rewrite787.0ms (5.8%)

Memory

-40.4MiB live, 778.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 417

Calls

Call 1

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

Outputs
(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (*.f64 l l))
(+.f64 (/.f64 (.f64 (.f64 l l) (.f64 l l)) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 (*.f64 t t) #s(literal -2 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 l l) (.f64 l l)) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 (*.f64 t t) #s(literal -2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (/.f64 (.f64 (.f64 l l) (.f64 l l)) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (*.f64 l l))))
(fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))
(fma.f64 l (.f64 l #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (*.f64 t t)))
(fma.f64 (.f64 l l) #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 t t)))
(fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) #s(literal 1 binary64)) (*.f64 l l))
(fma.f64 t (.f64 #s(literal 2 binary64) t) (.f64 l l))
(fma.f64 t (.f64 (.f64 #s(literal 2 binary64) t) #s(literal 1 binary64)) (*.f64 l l))
(fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) #s(literal 1 binary64) (*.f64 l l))
(fma.f64 #s(literal 1 binary64) (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 t t)) (*.f64 l l))
(fma.f64 (.f64 (.f64 l l) (.f64 l l)) (/.f64 #s(literal 1 binary64) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 (*.f64 t t) #s(literal -2 binary64))))))
(fma.f64 (.f64 #s(literal 2 binary64) t) t (.f64 l l))
(fma.f64 (.f64 #s(literal 2 binary64) t) (.f64 t #s(literal 1 binary64)) (*.f64 l l))
(fma.f64 (exp.f64 (log.f64 l)) (exp.f64 (log.f64 l)) (.f64 #s(literal 2 binary64) (.f64 t t)))
(fma.f64 (.f64 #s(literal 1 binary64) l) l (.f64 #s(literal 2 binary64) (*.f64 t t)))
(fma.f64 (.f64 #s(literal 1 binary64) t) (.f64 #s(literal 2 binary64) t) (*.f64 l l))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 t t)) #s(literal 2 binary64) (*.f64 l l))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) t)) t (*.f64 l l))
(neg.f64 (/.f64 (fma.f64 l (.f64 l (.f64 (.f64 l l) (.f64 l l))) (.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 (.f64 l l) (.f64 l l))))))
(neg.f64 (/.f64 (fma.f64 l (.f64 l (.f64 l l)) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal -4 binary64))) (neg.f64 (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 l (.f64 l (.f64 (.f64 l l) (.f64 l l))) (.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t))))))) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 (.f64 l l) (.f64 l l)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 l (.f64 l (.f64 l l)) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal -4 binary64)))) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (.f64 t (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 (.f64 l l) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64))))) (fma.f64 l (.f64 l (.f64 (.f64 l l) (.f64 l l))) (.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (*.f64 t t))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l)) (-.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 (.f64 l l) (.f64 l l)))))
(/.f64 (fma.f64 l (.f64 l (.f64 (.f64 l l) (.f64 l l))) (.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))))) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 (.f64 l l) (.f64 l l))))
(/.f64 (fma.f64 l (.f64 l (.f64 (.f64 l l) (.f64 l l))) (.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))))) (fma.f64 t (.f64 t (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 (.f64 l l) (fma.f64 l l (.f64 (*.f64 t t) #s(literal -2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))))))
(/.f64 (fma.f64 l (.f64 l (.f64 l l)) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal -4 binary64))) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 l (.f64 l (.f64 (.f64 l l) (.f64 l l))) (.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t))))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 (.f64 l l) (.f64 l l)))))
(/.f64 (neg.f64 (fma.f64 l (.f64 l (.f64 (.f64 l l) (.f64 l l))) (.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t))))))) (neg.f64 (fma.f64 t (.f64 t (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 (.f64 l l) (fma.f64 l l (.f64 (*.f64 t t) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 l (.f64 l (.f64 l l)) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal -4 binary64)))) (neg.f64 (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 (.f64 l l) (.f64 l l))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 l l) (.f64 l l)) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))) (.f64 (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64))) (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))))) (.f64 (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64))) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 l (.f64 l (.f64 (.f64 l l) (.f64 l l))) (.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 (.f64 l l) (.f64 l l))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 l (.f64 l (.f64 l l)) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal -4 binary64))))) (neg.f64 (neg.f64 (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 (.f64 l l) (.f64 l l)))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 l l) (.f64 l l)) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 l l) (.f64 l l)) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 l l) (.f64 l l)) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))) (.f64 (/.f64 (.f64 (.f64 l l) (.f64 l l)) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 (*.f64 t t) #s(literal -2 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 l l) (.f64 l l)) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 l l) (.f64 l l)) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64))))) (.f64 (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))))) (+.f64 (/.f64 (.f64 (.f64 l l) (.f64 l l)) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 (*.f64 t t) #s(literal -2 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))) #s(literal -1 binary64))
(.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (*.f64 t t))) #s(literal 1 binary64))
(.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 l l (.f64 (.f64 t t) #s(literal -2 binary64))))))
(.f64 #s(literal 1 binary64) (fma.f64 l l (.f64 #s(literal 2 binary64) (*.f64 t t))))
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simplify813.0ms (6%)

Memory

-35.4MiB live, 557.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval106.0ms (0.8%)

Memory: 16.2MiB live, 89.4MiB allocated
Compiler: Compiled 33 771 to 2 338 computations (93.1% saved)

prune177.0ms (1.3%)

Memory

5.0MiB live, 129.1MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	545	16	561
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	546	16	562

Accuracy

90.5%

Counts

562 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
▶	77.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
	76.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
	3.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
	13.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (fma.f64 x x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 l (neg.f64 l)))))
▶	28.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (.f64 l (neg.f64 l)))))
	12.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (*.f64 l (neg.f64 l)))))
	23.7%	(/.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 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 x #s(literal 1 binary64))) (*.f64 l (neg.f64 l)))))
	34.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l) l (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)))))
	27.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
	54.1%	(/.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))))
	43.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (.f64 (*.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))))
	76.4%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))
▶	4.8%	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l)))))
▶	75.7%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
	23.4%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))))

Compiler

Compiled 832 to 524 computations (37% saved)

simplify687.0ms (5.1%)

Memory

15.1MiB live, 452.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
✓	cost-diff	128	(.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)))
✓	cost-diff	512	(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (*.f64 l (neg.f64 l))))
✓	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 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (.f64 l (neg.f64 l)))))
✓	cost-diff	0	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l)))))
✓	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 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	cost-diff	2240	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))

Rules

10 418×	`accelerator-lowering-fma.f32`
10 418×	`accelerator-lowering-fma.f64`
5 956×	`-lowering-.f32`
5 956×	`-lowering-.f64`
3 186×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	428
1	119	408
2	326	396
3	871	388
4	3355	382
5	5668	382
0	8181	366

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize150.0ms (1.1%)

Memory

-22.1MiB live, 373.1MiB allocated

Localize:

Found 19 expressions of interest:

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

Samples

81.0ms

256×

invalid

Compiler

Compiled 410 to 46 computations (88.8% saved)

Precisions

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

ival-mult: 19.0ms (35.6% of total)

ival-div: 11.0ms (20.6% of total)

ival-sqrt: 11.0ms (20.6% of total)

ival-add: 9.0ms (16.9% of total)

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

exact: 1.0ms (1.9% of total)

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

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

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

series89.0ms (0.7%)

Memory

-7.1MiB live, 191.2MiB allocated

Counts

22 → 408

Calls

Call 1

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

Outputs
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (/ x (sqrt -1)))>
#<alt (+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))>
#<alt (+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1)))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))>
#<alt (- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))>
#<alt 1>
#<alt (+ 1 (/ 1 (* x (pow (sqrt -1) 2))))>
#<alt (+ 1 (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2)))) (/ 1 (pow (sqrt -1) 2))) x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (pow (sqrt -1) 2))))) x)) (/ 1 (pow (sqrt -1) 2))) x)))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
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#<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 (* 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 (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 (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)>

Calls

102 calls:

Time	Variable		Point	Expression
9.0ms	x	@	0	(sqrt (+ (* (/ (+ (* l l) (* 2 (* t t))) (+ x -1)) (+ x 1)) (* l (neg l))))
7.0ms	x	@	inf	(/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* l l) (* 2 (* t t))) (+ x -1)) (+ x 1)) (* l (neg l)))))
6.0ms	t	@	0	(/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* l l) (* 2 (* t t))) (+ x -1)) (+ x 1)) (* l (neg l)))))
5.0ms	x	@	0	(/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* l l) (* 2 (* t t))) (+ x -1)) (+ x 1)) (* l (neg l)))))
3.0ms	x	@	-inf	(/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* l l) (* 2 (* t t))) (+ x -1)) (+ x 1)) (* l (neg l)))))

rewrite288.0ms (2.1%)

Memory

0.6MiB live, 683.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 798×	`/-lowering-/.f32`
4 798×	`/-lowering-/.f64`
3 736×	`-lowering-.f32`
3 736×	`-lowering-.f64`
3 094×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	256
1	281	234
2	2603	230
0	8434	223

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 470

Calls

Call 1

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

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

simplify428.0ms (3.2%)

Memory

25.1MiB live, 1 219.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 514×	`-lowering-.f32`
7 514×	`-lowering-.f64`
5 618×	`accelerator-lowering-fma.f32`
5 618×	`accelerator-lowering-fma.f64`
3 536×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1368	18203
1	4494	17271
0	8479	16226

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

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

Outputs
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ x (sqrt -1)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))
(+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (/ 1 (* x (pow (sqrt -1) 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+ 1 (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2)))) (/ 1 (pow (sqrt -1) 2))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x))
(+ 1 (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (pow (sqrt -1) 2))))) x)) (/ 1 (pow (sqrt -1) 2))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) x))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(* t (* (sqrt -1) (sqrt 2)))
(.f64 (.f64 t (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1 (/ (* t (* x (sqrt 2))) (sqrt -1))) (* t (* (sqrt -1) (sqrt 2))))
(-.f64 (.f64 (.f64 t (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1 binary64))))
(+ (* t (* (sqrt -1) (sqrt 2))) (* x (+ (* -1 (/ (* t (sqrt 2)) (sqrt -1))) (* -1/2 (/ (* t (* x (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2)))))) (sqrt -1))))))
(fma.f64 x (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 t (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(+ (* t (* (sqrt -1) (sqrt 2))) (* x (+ (* -1 (/ (* t (sqrt 2)) (sqrt -1))) (* x (+ (* -1/2 (/ (* t (* x (* (sqrt 2) (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4))))))) (sqrt -1))) (* -1/2 (/ (* t (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))))))
(fma.f64 x (fma.f64 x (.f64 #s(literal -1/2 binary64) (fma.f64 t (/.f64 (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 (neg.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (*.f64 t (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(+ (* t (sqrt 2)) (/ (* t (sqrt 2)) x))
(fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) x))
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(* -1 (/ (+ (sqrt -1/2) (* 1/4 (/ (pow t 2) (* (pow l 2) (sqrt -1/2))))) l))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 t t) (.f64 (*.f64 l l) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal -1/2 binary64))) (neg.f64 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))
(/.f64 (+.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 4 binary64)))) (.f64 (pow.f64 l #s(literal 4 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 t t)) (.f64 (.f64 l l) (sqrt.f64 #s(literal -1/2 binary64)))))) (neg.f64 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))
(/.f64 (+.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 t #s(literal 6 binary64)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 t t) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 4 binary64)))))) #s(literal -1/2 binary64))) (.f64 (pow.f64 l #s(literal 6 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 4 binary64)))) (.f64 (pow.f64 l #s(literal 4 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 t t)) (.f64 (*.f64 l l) (sqrt.f64 #s(literal -1/2 binary64))))))) (neg.f64 l))
(sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 l l (*.f64 l l)))))
(+ (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))) (* (pow t 2) (sqrt (/ 1 (pow (- (* -1 (pow l 2)) (pow l 2)) 3)))))
(fma.f64 (.f64 t t) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 l l (*.f64 l l))))))
(+ (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))))))))
(fma.f64 (.f64 t t) (fma.f64 (.f64 #s(literal 3/2 binary64) (.f64 t t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fma.f64 l l (.f64 l l))) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 l l (.f64 l l))))))
(+ (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))))))))))
(fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 #s(literal 5/2 binary64) (.f64 t t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fma.f64 l l (.f64 l l))) #s(literal 7 binary64)))) (.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fma.f64 l l (.f64 l l))) #s(literal 5 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 l l (*.f64 l l))))))
(/ (sqrt -1/2) t)
(/.f64 (sqrt.f64 #s(literal -1/2 binary64)) t)
(/ (+ (sqrt -1/2) (* -1/8 (/ (- (* -1 (pow l 2)) (pow l 2)) (* (pow t 2) (sqrt -1/2))))) t)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (.f64 (*.f64 t t) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal -1/2 binary64))) 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)
(/.f64 (+.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))) #s(literal -1/2 binary64)) (.f64 (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))) #s(literal 1/8 binary64))) (.f64 (pow.f64 t #s(literal 4 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (/.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (fma.f64 l l (.f64 l l)))) (.f64 (.f64 t t) (sqrt.f64 #s(literal -1/2 binary64)))))) 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)
(/.f64 (+.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))) #s(literal -1/2 binary64)) (.f64 (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))) #s(literal 1/8 binary64))) (.f64 (pow.f64 t #s(literal 4 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))) #s(literal -1/2 binary64)) (.f64 (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))) #s(literal 1/8 binary64))) (/.f64 (neg.f64 (fma.f64 l l (.f64 l l))) #s(literal -1/2 binary64))) (.f64 (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l))))) #s(literal 1/16 binary64))) (.f64 (pow.f64 t #s(literal 6 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (/.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (fma.f64 l l (.f64 l l)))) (.f64 (.f64 t t) (sqrt.f64 #s(literal -1/2 binary64))))))) t)
(* -1 (/ (sqrt -1/2) t))
(neg.f64 (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) t))
(* -1 (/ (+ (sqrt -1/2) (* -1/8 (/ (- (* -1 (pow l 2)) (pow l 2)) (* (pow t 2) (sqrt -1/2))))) t))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (.f64 (*.f64 t t) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal -1/2 binary64))) (neg.f64 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))
(/.f64 (+.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))) #s(literal -1/2 binary64)) (.f64 (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))) #s(literal 1/8 binary64))) (.f64 (pow.f64 t #s(literal 4 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (/.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (fma.f64 l l (.f64 l l)))) (.f64 (.f64 t t) (sqrt.f64 #s(literal -1/2 binary64)))))) (neg.f64 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))
(/.f64 (+.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))) #s(literal -1/2 binary64)) (.f64 (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))) #s(literal 1/8 binary64))) (.f64 (pow.f64 t #s(literal 4 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))) #s(literal -1/2 binary64)) (.f64 (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))) #s(literal 1/8 binary64))) (/.f64 (neg.f64 (fma.f64 l l (.f64 l l))) #s(literal -1/2 binary64))) (.f64 (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l))))) #s(literal 1/16 binary64))) (.f64 (pow.f64 t #s(literal 6 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (/.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (fma.f64 l l (.f64 l l)))) (.f64 (.f64 t t) (sqrt.f64 #s(literal -1/2 binary64))))))) (neg.f64 t))
(* -2 (pow t 2))
(.f64 #s(literal -2 binary64) (.f64 t t))
(* -2 (pow t 2))
(.f64 #s(literal -2 binary64) (.f64 t t))
(* -2 (pow t 2))
(.f64 #s(literal -2 binary64) (.f64 t t))
(* -2 (pow t 2))
(.f64 #s(literal -2 binary64) (.f64 t t))
(* -2 (pow t 2))
(.f64 #s(literal -2 binary64) (.f64 t t))
(* -2 (pow t 2))
(.f64 #s(literal -2 binary64) (.f64 t t))
(* -2 (pow t 2))
(.f64 #s(literal -2 binary64) (.f64 t t))
(* -2 (pow t 2))
(.f64 #s(literal -2 binary64) (.f64 t t))
(* -2 (pow t 2))
(.f64 #s(literal -2 binary64) (.f64 t t))
(* -2 (pow t 2))
(.f64 #s(literal -2 binary64) (.f64 t t))
(* -2 (pow t 2))
(.f64 #s(literal -2 binary64) (.f64 t t))
(* -2 (pow t 2))
(.f64 #s(literal -2 binary64) (.f64 t t))
(* 2 (pow t 2))
(.f64 #s(literal 2 binary64) (.f64 t t))
(* 2 (pow t 2))
(.f64 #s(literal 2 binary64) (.f64 t t))
(* 2 (pow t 2))
(.f64 #s(literal 2 binary64) (.f64 t t))
(* 2 (pow t 2))
(.f64 #s(literal 2 binary64) (.f64 t t))
(* 2 (pow t 2))
(.f64 #s(literal 2 binary64) (.f64 t t))
(* 2 (pow t 2))
(.f64 #s(literal 2 binary64) (.f64 t t))
(* 2 (pow t 2))
(.f64 #s(literal 2 binary64) (.f64 t t))
(* 2 (pow t 2))
(.f64 #s(literal 2 binary64) (.f64 t t))
(* 2 (pow t 2))
(.f64 #s(literal 2 binary64) (.f64 t t))
(* 2 (pow t 2))
(.f64 #s(literal 2 binary64) (.f64 t t))
(* 2 (pow t 2))
(.f64 #s(literal 2 binary64) (.f64 t t))
(* 2 (pow t 2))
(.f64 #s(literal 2 binary64) (.f64 t t))
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)

eval145.0ms (1.1%)

Memory: 28.7MiB live, 336.3MiB allocated
Compiler: Compiled 45 761 to 3 233 computations (92.9% saved)

prune138.0ms (1%)

Memory

-20.6MiB live, 337.4MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	1 059	17	1 076
Fresh	8	3	11
Picked	4	1	5
Done	0	0	0
Total	1 071	21	1 092

Accuracy

91.8%

Counts

1 092 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.6%	(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 (.f64 t t) x)) #s(literal -1/2 binary64) #s(literal 1 binary64))
	6.3%	(/.f64 (.f64 (.f64 t t) (.f64 x #s(literal 2 binary64))) (.f64 l l))
	77.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
	76.2%	(/.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 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
	6.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (/.f64 (.f64 l l) (.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64))))))
	3.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
▶	9.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
	23.7%	(/.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 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 x #s(literal 1 binary64))) (*.f64 l (neg.f64 l)))))
	54.1%	(/.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))))
	77.4%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
	9.2%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
	53.9%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t x))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
	77.3%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))
	77.4%	(.f64 (/.f64 #s(literal 1 binary64) t) (.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
	18.7%	(*.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))))
	38.7%	(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
✓	75.7%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
▶	77.3%	(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))))
	28.5%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))))
▶	77.6%	(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
▶	76.8%	#s(literal 1 binary64)

Compiler

Compiled 832 to 538 computations (35.3% saved)

simplify341.0ms (2.5%)

Memory

3.7MiB live, 614.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.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)))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
✓	cost-diff	128	(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))
✓	cost-diff	640	(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))))
✓	cost-diff	0	(*.f64 t t)
✓	cost-diff	0	(fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))
✓	cost-diff	0	(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 (.f64 t t) x))
✓	cost-diff	192	(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 (.f64 t t) x)) #s(literal -1/2 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))

Rules

14 910×	`accelerator-lowering-fma.f32`
14 910×	`accelerator-lowering-fma.f64`
4 784×	`-lowering-.f32`
4 784×	`-lowering-.f64`
2 834×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	264
1	74	264
2	158	262
3	247	260
4	307	259
5	593	258
6	1648	256
7	2624	256
8	2899	256
9	3484	256
10	4799	256
0	8195	248

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize145.0ms (1.1%)

Memory

-0.2MiB live, 281.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(*.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)))))
✓	accuracy	99.5%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	accuracy	96.8%	(/.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))))))
✓	accuracy	44.4%	(+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
✓	accuracy	99.9%	(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))))
✓	accuracy	99.6%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
✓	accuracy	99.5%	(.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
✓	accuracy	100.0%	(*.f64 l l)
✓	accuracy	100.0%	(fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))
✓	accuracy	93.2%	(.f64 (.f64 t t) x)
✓	accuracy	73.2%	(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 (.f64 t t) x))
✓	accuracy	100.0%	(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))

Samples

64.0ms	147×	1	valid
26.0ms	102×	0	invalid
1.0ms	5×	0	valid
1.0ms	2×	2	valid

Compiler

Compiled 262 to 37 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 19.0ms (30.7% of total)

ival-div: 16.0ms (25.8% of total)

ival-add: 12.0ms (19.4% of total)

ival-sqrt: 9.0ms (14.5% of total)

adjust: 5.0ms (8.1% of total)

exact: 1.0ms (1.6% of total)

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

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

series42.0ms (0.3%)

Memory

-0.1MiB live, 76.7MiB allocated

Counts

20 → 372

Calls

Call 1

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

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

Calls

93 calls:

Time	Variable		Point	Expression
10.0ms	x	@	-inf	(/ (* (sqrt 2) t) (* l (sqrt (+ (/ 1 (+ x -1)) (+ (/ x (+ x -1)) -1)))))
2.0ms	t	@	0	(/ (+ (* 2 (* t t)) (* l l)) (* (* t t) x))
2.0ms	t	@	0	(/ (* (sqrt 2) t) (* l (sqrt (+ (/ 1 (+ x -1)) (+ (/ x (+ x -1)) -1)))))
1.0ms	x	@	inf	(/ (* (sqrt 2) t) (* l (sqrt (+ (/ 1 (+ x -1)) (+ (/ x (+ x -1)) -1)))))
1.0ms	l	@	0	(/ (* (sqrt 2) t) (* l (sqrt (+ (/ 1 (+ x -1)) (+ (/ x (+ x -1)) -1)))))

rewrite269.0ms (2%)

Memory

-15.4MiB live, 499.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 818×	`/-lowering-/.f32`
4 818×	`/-lowering-/.f64`
4 220×	`-lowering-.f32`
4 220×	`-lowering-.f64`
2 052×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	188
1	208	180
2	1875	177
0	8262	168

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 512

Calls

Call 1

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

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

simplify306.0ms (2.3%)

Memory

3.6MiB live, 477.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 666×	`accelerator-lowering-fma.f32`
6 666×	`accelerator-lowering-fma.f64`
5 966×	`-lowering-.f32`
5 966×	`-lowering-.f64`
3 006×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	590	5337
1	1808	4912
2	6478	4762
0	8389	4600

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

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

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

eval136.0ms (1%)

Memory: 17.0MiB live, 197.7MiB allocated
Compiler: Compiled 23 831 to 3 234 computations (86.4% saved)

prune136.0ms (1%)

Memory

35.9MiB live, 234.8MiB allocated

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	1 075	17	1 092
Fresh	10	5	15
Picked	3	2	5
Done	0	1	1
Total	1 088	25	1 113

Accuracy

99.1%

Counts

1 113 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.9%	(fma.f64 (/.f64 (.f64 l l) (.f64 (*.f64 t t) x)) #s(literal -1/2 binary64) #s(literal 1 binary64))
	40.6%	(/.f64 (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) t) t (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 l l) x))) (.f64 t t))
	6.3%	(/.f64 (.f64 (.f64 t t) (.f64 x #s(literal 2 binary64))) (.f64 l l))
▶	76.2%	(/.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 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
	23.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 l (sqrt.f64 #s(literal 2 binary64)))))
	23.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (sqrt.f64 #s(literal 2 binary64))))))
	24.0%	(/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))
	23.9%	(/.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 #s(literal 1 binary64) x)))))
	54.1%	(/.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))))
▶	77.4%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
	53.9%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t x))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
▶	23.8%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 x) l))
	38.7%	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
✓	75.7%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
	15.0%	(.f64 x (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) l) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.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)))))))
	76.6%	(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
	76.7%	(*.f64 t (/.f64 #s(literal 1 binary64) t))
	70.8%	(.f64 t (exp.f64 (.f64 (log.f64 (*.f64 t (sqrt.f64 (/.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))))) #s(literal -1 binary64))))
▶	77.5%	(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal 1 binary64))))
✓	77.6%	(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
	77.4%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
	22.6%	(sqrt.f64 (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
	33.1%	(sqrt.f64 (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))))
	77.4%	(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
✓	76.8%	#s(literal 1 binary64)

Compiler

Compiled 875 to 575 computations (34.3% saved)

simplify131.0ms (1%)

Memory

-2.5MiB live, 194.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (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 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
✓	cost-diff	640	(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(*.f64 t (sqrt.f64 #s(literal 1/2 binary64)))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t (sqrt.f64 #s(literal 1/2 binary64))))
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 x) l))
✓	cost-diff	0	(.f64 (.f64 t t) x)
✓	cost-diff	0	(*.f64 l l)
✓	cost-diff	0	(/.f64 (.f64 l l) (.f64 (*.f64 t t) x))
✓	cost-diff	0	(fma.f64 (/.f64 (.f64 l l) (.f64 (*.f64 t t) x)) #s(literal -1/2 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal 1 binary64))))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))

Rules

3 684×	`-lowering-.f32`
3 684×	`-lowering-.f64`
3 130×	`/-lowering-/.f32`
3 130×	`/-lowering-/.f64`
1 832×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	209
1	90	202
2	289	198
3	974	195
4	2248	195
5	3220	195
6	5423	195
0	8296	192

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize111.0ms (0.8%)

Memory

-14.0MiB live, 157.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	accuracy	99.5%	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
✓	accuracy	89.0%	(/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x))
✓	accuracy	99.8%	(/.f64 (sqrt.f64 x) l)
✓	accuracy	99.6%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t (sqrt.f64 #s(literal 1/2 binary64))))
✓	accuracy	99.5%	(*.f64 t (sqrt.f64 #s(literal 1/2 binary64)))
✓	accuracy	96.9%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 x) l))
✓	accuracy	100.0%	(*.f64 t t)
✓	accuracy	100.0%	(*.f64 l l)
✓	accuracy	93.2%	(.f64 (.f64 t t) x)
✓	accuracy	87.0%	(/.f64 (.f64 l l) (.f64 (*.f64 t t) x))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal 1 binary64))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))

Samples

39.0ms	154×	0	valid
29.0ms	102×	0	invalid

Compiler

Compiled 214 to 39 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 17.0ms (39.2% of total)

ival-div: 13.0ms (30% of total)

ival-sqrt: 7.0ms (16.1% of total)

ival-add: 5.0ms (11.5% of total)

ival-sub: 2.0ms (4.6% of total)

exact: 1.0ms (2.3% of total)

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

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

series52.0ms (0.4%)

Memory

1.1MiB live, 76.8MiB allocated

Counts

23 → 432

Calls

Call 1

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

Outputs
#<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 (sqrt -1)>
#<alt (+ (sqrt -1) (* -1 (* x (sqrt -1))))>
#<alt (+ (sqrt -1) (* x (+ (* -1 (sqrt -1)) (* 1/2 (* x (sqrt -1))))))>
#<alt (+ (sqrt -1) (* x (+ (* -1 (sqrt -1)) (* x (+ (* -1/2 (* x (sqrt -1))) (* 1/2 (sqrt -1)))))))>
#<alt (pow (sqrt -1) 2)>
#<alt (+ (/ 1 x) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow x 2))) (+ (/ 1 x) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow x 2))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (pow x 3))) (+ (/ 1 x) (pow (sqrt -1) 2))))>
#<alt (pow (sqrt -1) 2)>
#<alt (+ (/ 1 x) (pow (sqrt -1) 2))>
#<alt (+ (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) x)) 1) x)) (pow (sqrt -1) 2))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) x))) x)) 1) x)) (pow (sqrt -1) 2))>
#<alt -1>
#<alt (- (* 2 x) 1)>
#<alt (- (* x (+ 2 (* -2 x))) 1)>
#<alt (- (* x (+ 2 (* x (- (* 2 x) 2)))) 1)>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 x)))>
#<alt (- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x)))>
#<alt (- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 x)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))>
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))>
#<alt -1>
#<alt (- (* -1 x) 1)>
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#<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))>

Calls

108 calls:

Time	Variable		Point	Expression
17.0ms	x	@	inf	(/ -1 (- 1 x))
4.0ms	t	@	-inf	(/ (* (sqrt 2) t) (+ (* 1/2 (/ (* 2 (* l l)) (* (* t (sqrt 2)) x))) (* t (sqrt 2))))
1.0ms	t	@	0	(* (* (sqrt 2) (* t (sqrt 1/2))) (/ (sqrt x) l))
1.0ms	x	@	-inf	(* (* (sqrt 2) (* t (sqrt 1/2))) (/ (sqrt x) l))
1.0ms	x	@	0	(* (* (sqrt 2) (* t (sqrt 1/2))) (/ (sqrt x) l))

rewrite335.0ms (2.5%)

Memory

18.0MiB live, 454.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 380×	`/-lowering-/.f32`
5 380×	`/-lowering-/.f64`
4 460×	`-lowering-.f32`
4 460×	`-lowering-.f64`
3 284×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	168
1	209	161
2	1589	145
0	8240	142

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 785

Calls

Call 1

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

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

simplify452.0ms (3.3%)

Memory

-2.9MiB live, 580.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 904×	`accelerator-lowering-fma.f32`
9 904×	`accelerator-lowering-fma.f64`
6 418×	`-lowering-.f32`
6 418×	`-lowering-.f64`
3 214×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	332	4425
1	985	4163
2	3256	4125
0	8430	4034

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

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

Outputs
-1
#s(literal -1 binary64)
(- x 1)
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(*.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)))

eval211.0ms (1.6%)

Memory: -23.1MiB live, 283.7MiB allocated
Compiler: Compiled 24 666 to 2 973 computations (87.9% saved)

prune152.0ms (1.1%)

Memory

-4.9MiB live, 349.5MiB allocated

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	1 260	10	1 270
Fresh	10	7	17
Picked	3	2	5
Done	0	3	3
Total	1 273	22	1 295

Accuracy

99.4%

Counts

1 295 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.9%	(fma.f64 (/.f64 (.f64 l l) (.f64 (*.f64 t t) x)) #s(literal -1/2 binary64) #s(literal 1 binary64))
	76.4%	(fma.f64 (/.f64 l (.f64 x t)) (/.f64 (.f64 l #s(literal -1/2 binary64)) t) #s(literal 1 binary64))
	40.6%	(/.f64 (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) t) t (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 l l) x))) (.f64 t t))
	24.0%	(/.f64 (.f64 (.f64 #s(literal 1 binary64) t) (sqrt.f64 x)) l)
	23.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (sqrt.f64 #s(literal 2 binary64))))))
	24.0%	(/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))
	23.9%	(/.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 #s(literal 1 binary64) x)))))
	54.1%	(/.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))))
	23.9%	(/.f64 (*.f64 #s(literal 1 binary64) t) (/.f64 l (sqrt.f64 x)))
	23.9%	(/.f64 #s(literal 1 binary64) (/.f64 l (.f64 (.f64 #s(literal 1 binary64) t) (sqrt.f64 x))))
	3.7%	(/.f64 #s(literal -1 binary64) x)
✓	77.4%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
	24.0%	(.f64 (/.f64 (sqrt.f64 x) l) (.f64 #s(literal 1 binary64) t))
	81.1%	(.f64 (/.f64 t (fma.f64 l (/.f64 l (.f64 x (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
	81.0%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 l (/.f64 l (.f64 x (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
	23.8%	(.f64 (.f64 (/.f64 (sqrt.f64 x) l) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
	23.9%	(.f64 (.f64 (*.f64 #s(literal 1 binary64) t) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) l))
✓	75.7%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
	76.7%	(*.f64 t (/.f64 #s(literal 1 binary64) t))
✓	77.6%	(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
	77.4%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
✓	76.8%	#s(literal 1 binary64)

Compiler

Compiled 1 374 to 485 computations (64.7% saved)

regimes98.0ms (0.7%)

Memory

16.7MiB live, 186.2MiB allocated

Counts

61 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

17.0ms	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
17.0ms	x
17.0ms	t
16.0ms	l
14.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
81.1%	1	`x`
87.1%	2	`l`
87.7%	3	`t`
84.6%	2	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
81.1%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
84.6%	2	`(*.f64 l l)`

Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes15.0ms (0.1%)

Memory

-12.3MiB live, 28.7MiB allocated

Counts

43 → 2

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
86.9%	2	`l`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes17.0ms (0.1%)

Memory

-3.7MiB live, 34.3MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

6 calls:

4.0ms	(/.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))))
3.0ms	t
3.0ms	l
3.0ms	x
2.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
77.6%	1	`x`
77.6%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
77.6%	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))))`
77.6%	1	`(*.f64 l l)`
77.6%	1	`t`
77.6%	1	`l`

Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes16.0ms (0.1%)

Memory

-6.1MiB live, 32.1MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

6 calls:

4.0ms	t
2.0ms	l
2.0ms	x
2.0ms	(*.f64 l l)
2.0ms	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))

Results

Accuracy	Segments	Branch
77.4%	1	`l`
77.4%	1	`t`
77.4%	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))))`
77.4%	1	`(*.f64 l l)`
77.4%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
77.4%	1	`x`

Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes9.0ms (0.1%)

Memory

25.2MiB live, 25.2MiB allocated

Accuracy

Total -46.9b remaining (-315.9%)

Threshold costs -46.9b (-315.9%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary64)

Calls

6 calls:

1.0ms	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
76.8%	1	`l`
76.8%	1	`t`
76.8%	1	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
76.8%	1	`(*.f64 l l)`
76.8%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
76.8%	1	`x`

Compiler

Compiled 58 to 38 computations (34.5% saved)

bsearch91.0ms (0.7%)

Memory

-5.7MiB live, 75.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
85.0ms	3.1797736181767417e+193	2.832160362810905e+199

Samples

67.0ms	102×	1	valid
6.0ms	36×	1	invalid
4.0ms	42×	0	valid
0.0ms	3×	0	invalid

Compiler

Compiled 348 to 213 computations (38.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-div: 52.0ms (73.4% of total)

ival-mult: 6.0ms (8.5% of total)

ival-sub: 3.0ms (4.2% of total)

ival-sqrt: 3.0ms (4.2% of total)

ival-add: 3.0ms (4.2% of total)

adjust: 2.0ms (2.8% of total)

exact: 0.0ms (0% of total)

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

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

bsearch45.0ms (0.3%)

Memory

4.8MiB live, 82.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
40.0ms	3.1797736181767417e+193	2.832160362810905e+199

Samples

19.0ms	99×	1	valid
10.0ms	46×	1	invalid
5.0ms	45×	0	valid
0.0ms	3×	0	invalid

Compiler

Compiled 249 to 195 computations (21.7% saved)

Precisions

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

ival-mult: 9.0ms (34.3% of total)

ival-div: 4.0ms (15.3% of total)

ival-sub: 4.0ms (15.3% of total)

ival-sqrt: 4.0ms (15.3% of total)

ival-add: 3.0ms (11.4% of total)

adjust: 2.0ms (7.6% of total)

exact: 0.0ms (0% of total)

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

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

simplify124.0ms (0.9%)

Memory

-26.7MiB live, 11.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
6×	`+-commutative_binary64`
2×	`*-lft-identity_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	61
1	41	61

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 l #s(literal 105000000000000007966954222992602911865373504617682658227432551366213338710668018260546008858300909469082065451351302417547536276048917034407370808994318582452537543825118849795016050637419839488 binary64)) (.f64 (/.f64 t (fma.f64 l (/.f64 l (.f64 x (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (sqrt.f64 x) l) (.f64 #s(literal 1 binary64) t)))
(if (<=.f64 l #s(literal 639999999999999968731707176911048451416906269515917868765861368996704750319997387729816824907029774598136028721096848429244688208035359557928687099281693055601303458455899200049743138446661518360576 binary64)) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (/.f64 (sqrt.f64 x) l) (.f64 #s(literal 1 binary64) t)))
(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 l #s(literal 105000000000000007966954222992602911865373504617682658227432551366213338710668018260546008858300909469082065451351302417547536276048917034407370808994318582452537543825118849795016050637419839488 binary64)) (.f64 (/.f64 t (fma.f64 l (/.f64 l (.f64 x (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (sqrt.f64 x) l) (.f64 #s(literal 1 binary64) t)))
(if (<=.f64 l #s(literal 105000000000000007966954222992602911865373504617682658227432551366213338710668018260546008858300909469082065451351302417547536276048917034407370808994318582452537543825118849795016050637419839488 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 t (fma.f64 l (/.f64 l (.f64 x (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 t (/.f64 (sqrt.f64 x) l)))
(if (<=.f64 l #s(literal 639999999999999968731707176911048451416906269515917868765861368996704750319997387729816824907029774598136028721096848429244688208035359557928687099281693055601303458455899200049743138446661518360576 binary64)) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (/.f64 (sqrt.f64 x) l) (.f64 #s(literal 1 binary64) t)))
(if (<=.f64 l #s(literal 639999999999999968731707176911048451416906269515917868765861368996704750319997387729816824907029774598136028721096848429244688208035359557928687099281693055601303458455899200049743138446661518360576 binary64)) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 t (/.f64 (sqrt.f64 x) l)))
(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)

soundness1.0s (7.5%)

Memory

33.8MiB live, 900.7MiB allocated

Rules

13 380×	`accelerator-lowering-fma.f32`
13 380×	`accelerator-lowering-fma.f64`
10 416×	`accelerator-lowering-fma.f32`
10 416×	`accelerator-lowering-fma.f64`
9 668×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	590	5337
1	1808	4912
2	6478	4762
0	8389	4600
0	44	256
1	281	234
2	2603	230
0	8434	223
0	18	85
1	103	85
2	915	84
0	8792	80
0	37	168
1	209	161
2	1589	145
0	8240	142
0	676	10349
1	2332	9162
0	8701	8754
0	1368	18203
1	4494	17271
0	8479	16226

Stop Event

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

Compiler

Compiled 307 to 208 computations (32.2% saved)

preprocess93.0ms (0.7%)

Memory: 21.7MiB live, 174.1MiB allocated
Compiler: Compiled 316 to 160 computations (49.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze323.0ms (2.4%)

sample2.9s (21.7%)

preprocess575.0ms (4.3%)

explain365.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify827.0ms (6.1%)

localize244.0ms (1.8%)

series100.0ms (0.7%)

rewrite787.0ms (5.8%)

simplify813.0ms (6%)

eval106.0ms (0.8%)

prune177.0ms (1.3%)

simplify687.0ms (5.1%)

localize150.0ms (1.1%)

series89.0ms (0.7%)

rewrite288.0ms (2.1%)

simplify428.0ms (3.2%)

eval145.0ms (1.1%)

prune138.0ms (1%)

simplify341.0ms (2.5%)

localize145.0ms (1.1%)

series42.0ms (0.3%)

rewrite269.0ms (2%)

simplify306.0ms (2.3%)

eval136.0ms (1%)

prune136.0ms (1%)

simplify131.0ms (1%)

localize111.0ms (0.8%)

series52.0ms (0.4%)

rewrite335.0ms (2.5%)

simplify452.0ms (3.3%)

eval211.0ms (1.6%)

prune152.0ms (1.1%)

regimes98.0ms (0.7%)

regimes15.0ms (0.1%)

regimes17.0ms (0.1%)

regimes16.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch91.0ms (0.7%)

bsearch45.0ms (0.3%)

simplify124.0ms (0.9%)

soundness1.0s (7.5%)

preprocess93.0ms (0.7%)

end0.0ms (0%)

Profiling