Metrics for Toniolo and Linder, Equation (7)

analyze361.0ms (2.4%)

Memory

15.8MiB live, 480.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 29 to 20 computations (31% saved)

sample3.1s (20.7%)

Memory

-38.1MiB live, 4 914.8MiB allocated

Samples

715.0ms	5 402×	0	valid
645.0ms	2 659×	1	valid
411.0ms	1 690×	1	invalid
332.0ms	2 765×	0	invalid
58.0ms	195×	2	valid
57.0ms	104×	2	invalid

Precisions

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

ival-mult: 577.0ms (33.8% of total)

ival-sqrt: 344.0ms (20.1% of total)

ival-div: 249.0ms (14.6% of total)

ival-add: 219.0ms (12.8% of total)

ival-sub: 189.0ms (11.1% of total)

adjust: 95.0ms (5.6% of total)

exact: 17.0ms (1% of total)

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

ival-assert: 6.0ms (0.4% of total)

Bogosity

preprocess1.1s (7.4%)

Memory

8.6MiB live, 1 134.1MiB allocated

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Call 2

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

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

Symmetry

(abs l)

(negabs t)

explain532.0ms (3.5%)

Memory

-3.5MiB live, 355.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
110	-	1	(-7.893424743565246e+274 8.89120326469871e-195 6.979534507173722e-160)	`(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)))`
92	-	0	-	`(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))`
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	86	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	86
↳	`(.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	95
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	65
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	overflow	95
↳	`(*.f64 t t)`	overflow	65
↳	`(*.f64 l l)`	overflow	92
`-.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	46	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	46	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	95
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	65
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	overflow	95
↳	`(*.f64 t t)`	overflow	65
↳	`(*.f64 l l)`	overflow	46
↳	`(*.f64 l l)`	overflow	46
`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	23	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	23
↳	`(.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	16
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	underflow	49
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	underflow	16
↳	`(*.f64 t t)`	underflow	49
↳	`(*.f64 l l)`	underflow	154

Confusion

	Predicted +	Predicted -
+	164	1
-	0	91

Precision

1.0

Recall

0.9939393939393939

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	164	0	1
-	0	0	91

Precision?

1.0

Recall?

0.9939393939393939

Freqs

test

number	freq
0	92
1	127
2	37

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

119.0ms	330×	0	valid
75.0ms	168×	1	valid
4.0ms	14×	2	valid

Compiler

Compiled 326 to 76 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-mult: 52.0ms (58.6% of total)

ival-div: 9.0ms (10.1% of total)

ival-sqrt: 9.0ms (10.1% of total)

ival-add: 7.0ms (7.9% of total)

ival-sub: 6.0ms (6.8% of total)

adjust: 4.0ms (4.5% of total)

exact: 1.0ms (1.1% of total)

ival-true: 1.0ms (1.1% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.7%	(/.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

▶

37.7%

(/.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)

simplify792.0ms (5.3%)

Memory

16.3MiB live, 449.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize120.0ms (0.8%)

Memory

-12.9MiB live, 68.7MiB 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	68.7%	(-.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	59.9%	(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

48.0ms	84×	1	valid
47.0ms	165×	0	valid
2.0ms	7×	2	valid

Compiler

Compiled 133 to 20 computations (85% saved)

Precisions

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

ival-mult: 36.0ms (42.9% of total)

ival-div: 33.0ms (39.4% of total)

ival-sqrt: 5.0ms (6% of total)

ival-sub: 3.0ms (3.6% of total)

ival-add: 3.0ms (3.6% of total)

adjust: 2.0ms (2.4% of total)

exact: 0.0ms (0% of total)

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

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

series92.0ms (0.6%)

Memory

8.1MiB live, 86.5MiB allocated

Counts

5 → 120

Calls

Call 1

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

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

30 calls:

Time	Variable		Point	Expression
24.0ms	x	@	-inf	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
17.0ms	t	@	0	(sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
5.0ms	l	@	0	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
5.0ms	x	@	0	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
4.0ms	t	@	inf	(- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))

rewrite817.0ms (5.4%)

Memory

-26.6MiB live, 831.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	76
1	103	76
2	915	75
0	8798	72

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 358

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l)) #s(literal 2 binary64))) t)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 t #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))) (.f64 (/.f64 t #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))))))
(neg.f64 (.f64 (/.f64 t #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 t #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)) #s(literal 2 binary64))) t)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))) t))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)) #s(literal 2 binary64))) t))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)) #s(literal 2 binary64))) t)))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)) #s(literal 2 binary64))) t) #s(literal -1 binary64))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 t (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l)))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l)))))
(.f64 t (.f64 (pow.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 t (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (pow.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)) #s(literal -1/2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (pow.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)) #s(literal -1/2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (neg.f64 (pow.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l)) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(.f64 (pow.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 t #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))))))
(.f64 (/.f64 t (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l)))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (pow.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)) #s(literal -1/2 binary64)))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 t (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))))))
(.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 t (neg.f64 (pow.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l)) #s(literal 1/4 binary64))) (/.f64 t (pow.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)) #s(literal 1/4 binary64))))
(.f64 (/.f64 t (pow.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l)) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (pow.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l)))))
(.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l)))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) t) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l)))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 t (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l)))))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l)) #s(literal 2 binary64))) t) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)) #s(literal 2 binary64))) t) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) t) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)))))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)))))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (neg.f64 (pow.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l)) #s(literal -1/2 binary64))))
(.f64 (.f64 (pow.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) t)
(.f64 (.f64 (pow.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)) #s(literal -1/2 binary64)) t) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 t (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) t)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t #s(literal 1 binary64)))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(*.f64 t (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(*.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) t))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) t))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) t)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) t)
(.f64 (.f64 t (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))) #s(literal 1/2 binary64)))
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simplify482.0ms (3.2%)

Memory

18.4MiB live, 1 127.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

eval75.0ms (0.5%)

Memory: -8.4MiB live, 192.9MiB allocated
Compiler: Compiled 31 933 to 2 063 computations (93.5% saved)

prune76.0ms (0.5%)

Memory

17.2MiB live, 218.3MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	462	16	478
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	463	16	479

Accuracy

91.1%

Counts

479 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (+.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 t x)) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))))
▶	75.6%	(/.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))))))
	75.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
	4.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
	27.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l) l (-.f64 (/.f64 (.f64 (.f64 t t) (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64))) (.f64 l l)))))
	33.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) x)))) (+.f64 x #s(literal -1 binary64)))))
	2.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (.f64 l l))))
	59.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 t (.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 (.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) #s(literal -2 binary64)) (/.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) x)) (+.f64 (/.f64 (.f64 t (.f64 t #s(literal 2 binary64))) x) (/.f64 (*.f64 l l) x))) x))))
	59.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t))) (+.f64 (/.f64 (.f64 l l) x) (/.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) x)))))
▶	45.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (.f64 t (*.f64 t #s(literal 2 binary64)))))
	37.9%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)) #s(literal 2 binary64))) t))
▶	74.5%	(.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))))
	2.7%	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))))
▶	6.5%	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) (-.f64 (.f64 (.f64 l l) #s(literal -1 binary64)) (*.f64 l l))))))
	73.9%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
▶	37.6%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l)))))

Compiler

Compiled 832 to 520 computations (37.5% saved)

simplify368.0ms (2.4%)

Memory

-10.4MiB live, 786.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

13 724×	`accelerator-lowering-fma.f32`
13 724×	`accelerator-lowering-fma.f64`
4 684×	`-lowering-.f32`
4 684×	`-lowering-.f64`
2 044×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	409
1	103	385
2	239	380
3	473	372
4	952	366
5	4045	366
6	6969	364
0	8147	351

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize155.0ms (1%)

Memory

-12.4MiB live, 349.5MiB allocated

Localize:

Found 20 expressions of interest:

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

88.0ms

256×

invalid

Compiler

Compiled 411 to 46 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 22.0ms (39.4% of total)

ival-div: 12.0ms (21.5% of total)

ival-sqrt: 12.0ms (21.5% of total)

ival-add: 7.0ms (12.5% of total)

ival-sub: 2.0ms (3.6% of total)

exact: 1.0ms (1.8% of total)

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

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

series71.0ms (0.5%)

Memory

-0.7MiB live, 115.4MiB allocated

Counts

26 → 444

Calls

Call 1

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

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

Calls

111 calls:

Time	Variable		Point	Expression
7.0ms	t	@	inf	(* 2 (* t t))
5.0ms	t	@	0	(/ 1 (+ (* (* t t) -2) (- (* (* l l) -1) (* l l))))
3.0ms	x	@	-inf	(sqrt (/ 2 (- (* (/ (+ x 1) (+ x -1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
3.0ms	t	@	-inf	(* (* t (sqrt 2)) (sqrt (/ 1 (+ (* (* t t) -2) (- (* (* l l) -1) (* l l))))))
2.0ms	x	@	0	(sqrt (/ 2 (- (* (/ (+ x 1) (+ x -1)) (+ (* l l) (* 2 (* t t)))) (* l l))))

rewrite386.0ms (2.6%)

Memory

16.5MiB live, 729.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 894×	`accelerator-lowering-fma.f32`
4 894×	`accelerator-lowering-fma.f64`
4 702×	`/-lowering-/.f32`
4 702×	`/-lowering-/.f64`
4 246×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	308
1	247	259
2	2023	238
0	8694	230

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 984

Calls

Call 1

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

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

simplify487.0ms (3.2%)

Memory

19.1MiB live, 883.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 286×	`-lowering-.f32`
7 286×	`-lowering-.f64`
5 418×	`accelerator-lowering-fma.f32`
5 418×	`accelerator-lowering-fma.f64`
3 574×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1326	21192
1	4414	20326
0	8339	19165

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

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

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

eval255.0ms (1.7%)

Memory: 20.5MiB live, 447.5MiB allocated
Compiler: Compiled 62 343 to 4 478 computations (92.8% saved)

prune201.0ms (1.3%)

Memory

-42.5MiB live, 456.3MiB allocated

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	1 556	24	1 580
Fresh	6	5	11
Picked	5	0	5
Done	0	0	0
Total	1 567	29	1 596

Accuracy

92.5%

Counts

1 596 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.5%	(/.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
	5.3%	(/.f64 (-.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t (.f64 t t))) (+.f64 x #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))))) l)
	56.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (+.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 t x)) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))))
	4.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
	2.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (.f64 l l))))
	59.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 t (.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 (.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) #s(literal -2 binary64)) (/.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) x)) (+.f64 (/.f64 (.f64 t (.f64 t #s(literal 2 binary64))) x) (/.f64 (*.f64 l l) x))) x))))
	59.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t))) (+.f64 (/.f64 (.f64 l l) x) (/.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) x)))))
▶	75.6%	(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x))
	75.5%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
	38.3%	(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
	74.1%	(.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)) (/.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
	74.4%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) t)) (/.f64 t (sqrt.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))))
▶	32.1%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 t (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
	44.1%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) t) (/.f64 t (.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) t))))
	75.3%	(.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)))))))
	75.4%	(*.f64 (/.f64 t (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) t))
▶	11.4%	(.f64 (.f64 t (/.f64 (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))))))
	6.5%	(.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (.f64 l (-.f64 (-.f64 #s(literal 0 binary64) l) l)) (.f64 t (.f64 t #s(literal -2 binary64)))))) t)
	75.3%	(.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))))))))
	11.6%	(.f64 t (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
	75.3%	(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))))
	33.2%	(.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 t t)))))
▶	2.7%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)))))
	59.7%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (-.f64 (-.f64 (-.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) #s(literal -1 binary64)) (.f64 l l)) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) x)) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (/.f64 (.f64 l l) x))) x)))))
	59.5%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t))) x))))))
	9.9%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
	45.0%	(.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t t))))
	75.6%	(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
▶	75.0%	#s(literal 1 binary64)

Compiler

Compiled 1 494 to 876 computations (41.4% saved)

simplify229.0ms (1.5%)

Memory

11.6MiB live, 364.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

4 460×	`accelerator-lowering-fma.f32`
4 460×	`accelerator-lowering-fma.f64`
3 738×	`-lowering-.f32`
3 738×	`-lowering-.f64`
1 646×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	290
1	72	282
2	144	278
3	262	278
4	563	278
5	1304	262
6	2434	262
7	3846	262
8	5424	262
9	7104	262
0	8067	257

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize243.0ms (1.6%)

Memory

15.6MiB live, 371.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))
✓	accuracy	99.5%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) l)
✓	accuracy	97.7%	(.f64 (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
✓	accuracy	42.2%	(+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
✓	accuracy	99.8%	(/.f64 t (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	93.7%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 t (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
✓	accuracy	99.8%	(/.f64 #s(literal 2 binary64) (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 l l)))
✓	accuracy	95.8%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)))))
✓	accuracy	75.1%	(sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 l l))))
✓	accuracy	66.4%	(-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 l l))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x))
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)

Samples

74.0ms	119×	1	valid
47.0ms	95×	0	invalid
32.0ms	37×	2	valid
1.0ms	5×	0	valid

Compiler

Compiled 292 to 39 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-mult: 37.0ms (30.9% of total)

ival-div: 32.0ms (26.7% of total)

ival-add: 18.0ms (15% of total)

ival-sqrt: 10.0ms (8.3% of total)

ival-pow: 8.0ms (6.7% of total)

adjust: 7.0ms (5.8% of total)

ival-sub: 6.0ms (5% of total)

exact: 1.0ms (0.8% of total)

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

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

series58.0ms (0.4%)

Memory

-10.7MiB live, 105.3MiB allocated

Counts

18 → 348

Calls

Call 1

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

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

87 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(/ t (pow (+ x -1) -1/2))
4.0ms	t	@	-inf	(* t (sqrt (/ 2 (- (* (* l l) (/ (+ x 1) (+ x -1))) (* l l)))))
3.0ms	x	@	-inf	(* t (sqrt (/ 2 (- (* (* l l) (/ (+ x 1) (+ x -1))) (* l l)))))
3.0ms	l	@	0	(* (* t (/ (sqrt 2) l)) (sqrt (/ 1 (+ (/ 1 (+ x -1)) (+ (/ x (+ x -1)) -1)))))
2.0ms	t	@	0	(* t (sqrt (/ 2 (- (* (* l l) (/ (+ x 1) (+ x -1))) (* l l)))))

rewrite345.0ms (2.3%)

Memory

17.3MiB live, 725.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 980×	`-lowering-.f32`
5 980×	`-lowering-.f64`
3 842×	`/-lowering-/.f32`
3 842×	`/-lowering-/.f64`
3 326×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	185
1	245	160
2	2286	158
0	8638	158

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 457

Calls

Call 1

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

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

simplify544.0ms (3.6%)

Memory

30.7MiB live, 788.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 648×	`accelerator-lowering-fma.f32`
8 648×	`accelerator-lowering-fma.f64`
6 684×	`-lowering-.f32`
6 684×	`-lowering-.f64`
3 804×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	690	6747
1	2209	5908
2	7476	5896
0	8083	5752

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

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

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

eval112.0ms (0.7%)

Memory: -49.5MiB live, 210.2MiB allocated
Compiler: Compiled 22 292 to 2 612 computations (88.3% saved)

prune106.0ms (0.7%)

Memory

31.0MiB live, 228.6MiB allocated

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	791	14	805
Fresh	16	8	24
Picked	3	2	5
Done	0	0	0
Total	810	24	834

Accuracy

98.9%

Counts

834 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (+.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 t x)) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))))
▶	5.9%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	75.6%	(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x))
▶	75.5%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	74.4%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) t)) (/.f64 t (sqrt.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))))
▶	4.4%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 t (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
	3.4%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) (/.f64 t (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
	29.9%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (exp.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64)))) (/.f64 t (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
	44.1%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) t) (/.f64 t (.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) t))))
	4.4%	(.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))) l) t)
▶	75.4%	(*.f64 (/.f64 t (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) t))
▶	24.9%	(.f64 (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
	24.8%	(.f64 (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
	17.6%	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 x (.f64 #s(literal 2 binary64) (.f64 l l)))))
	11.6%	(.f64 t (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
	15.2%	(.f64 t (.f64 x (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 l l))) (.f64 x (.f64 x x))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 l l))) x))))))
	17.7%	(.f64 t (sqrt.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 l l)))))
	17.7%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 l l)) x))))
	59.7%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (-.f64 (-.f64 (-.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) #s(literal -1 binary64)) (.f64 l l)) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) x)) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (/.f64 (.f64 l l) x))) x)))))
	59.5%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t))) x))))))
	5.9%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 l l) #s(literal -2 binary64)))))
	45.0%	(.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t t))))
	17.2%	(.f64 t (sqrt.f64 (+.f64 (.f64 x (/.f64 #s(literal -2 binary64) (.f64 (.f64 l l) #s(literal -2 binary64)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 l l) #s(literal -2 binary64))))))
✓	75.0%	#s(literal 1 binary64)

Compiler

Compiled 1 012 to 631 computations (37.6% saved)

simplify369.0ms (2.4%)

Memory

-16.6MiB live, 506.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (sqrt.f64 #s(literal 2 binary64)) l)
✓	cost-diff	0	(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))
✓	cost-diff	0	(.f64 (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) t)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))))
✓	cost-diff	256	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 t (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	0	(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))
✓	cost-diff	0	(/.f64 t (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
✓	cost-diff	256	(*.f64 (/.f64 t (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) t))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))

Rules

7 164×	`accelerator-lowering-fma.f32`
7 164×	`accelerator-lowering-fma.f64`
4 846×	`-lowering-.f32`
4 846×	`-lowering-.f64`
3 686×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	256
1	87	248
2	189	242
3	346	242
4	916	242
5	2336	242
6	3699	242
7	3954	242
8	4040	242
9	4110	242
10	4180	242
11	7258	242
0	8091	227

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize165.0ms (1.1%)

Memory

3.6MiB live, 241.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
✓	accuracy	99.8%	(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))
✓	accuracy	99.5%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) l)
✓	accuracy	97.7%	(.f64 (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))
✓	accuracy	99.8%	(/.f64 t (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
✓	accuracy	93.8%	(/.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))))
✓	accuracy	89.7%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 t (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(/.f64 t (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
✓	accuracy	100.0%	(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))
✓	accuracy	99.9%	(*.f64 (/.f64 t (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) t))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	98.8%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))

Samples

88.0ms	161×	0	valid
27.0ms	95×	0	invalid

Compiler

Compiled 258 to 42 computations (83.7% saved)

Precisions

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

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

ival-mult: 13.0ms (24.9% of total)

ival-add: 7.0ms (13.4% of total)

ival-sqrt: 5.0ms (9.6% of total)

ival-pow: 4.0ms (7.7% of total)

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

exact: 1.0ms (1.9% of total)

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

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

series40.0ms (0.3%)

Memory

-10.9MiB live, 66.9MiB allocated

Counts

19 → 324

Calls

Call 1

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

Outputs
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- x 1) x)>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- 1 (/ 1 x))>
#<alt (- 1 (/ 1 x))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- 1 (/ 1 x))>
#<alt (- 1 (/ 1 x))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (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 (/ (- x 1) (+ 1 x))))>
#<alt (* t (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (* t (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (* t (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (* t (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (* t (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (* t (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (* t (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (* t (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (* t (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (* t (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (* t (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (* t (sqrt -1))>
#<alt (+ (* t (sqrt -1)) (/ (* t x) (sqrt -1)))>
#<alt (+ (* t (sqrt -1)) (* x (+ (* -1/2 (/ (* t (* x (+ 2 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (/ t (sqrt -1)))))>
#<alt (+ (* t (sqrt -1)) (* x (+ (* x (+ (* -1/2 (/ (* t (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ (* t (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))))) (sqrt -1))))) (/ t (sqrt -1)))))>
#<alt t>
#<alt (+ t (* -1 (/ t x)))>
#<alt (+ t (+ (* -1 (/ t x)) (* 1/2 (/ t (pow x 2)))))>
#<alt (+ t (+ (* -1 (/ t x)) (+ (* -1/2 (/ t (pow x 3))) (* 1/2 (/ t (pow x 2))))))>
#<alt t>
#<alt (+ t (/ t (* x (pow (sqrt -1) 2))))>
#<alt (+ t (* -1 (/ (+ (* -1 (/ t (pow (sqrt -1) 2))) (* 1/2 (/ (* t (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* x (pow (sqrt -1) 2))))) x)))>
#<alt (+ t (* -1 (/ (+ (* -1 (/ t (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1/2 (/ (* t (+ 2 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/2 (/ (* t (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4))))) (* x (pow (sqrt -1) 2))))) x))) x)))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* -1 (/ x (sqrt -1))))>
#<alt (+ (sqrt -1) (* x (- (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))>
#<alt (+ (sqrt -1) (* x (- (* x (+ (* -1/2 (/ (* x (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4))))) (sqrt -1))) (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))))) (/ 1 (sqrt -1)))))>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x)))>
#<alt (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3))))))>
#<alt (pow (sqrt -1) 2)>
#<alt (- (pow (sqrt -1) 2) (/ 1 x))>
#<alt (+ (* -1 (/ (+ 1 (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) x))) x)) (pow (sqrt -1) 2))>
#<alt (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/2 (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) x))) x))) x)) (pow (sqrt -1) 2))>
#<alt -1>
#<alt (- (* -2 x) 1)>
#<alt (- (* x (- (* -2 x) 2)) 1)>
#<alt (- (* x (- (* x (- (* -2 x) 2)) 2)) 1)>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 x)))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 x)))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))>
#<alt (* (/ 1 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (sqrt (- x 1)))>
#<alt (* (/ 1 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (sqrt (- x 1)))>
#<alt (* (/ 1 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (sqrt (- x 1)))>
#<alt (* (/ 1 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (sqrt (- x 1)))>
#<alt (* (/ 1 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (sqrt (- x 1)))>
#<alt (* (/ 1 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (sqrt (- x 1)))>
#<alt (* (/ 1 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (sqrt (- x 1)))>
#<alt (* (/ 1 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (sqrt (- x 1)))>
#<alt (* (/ 1 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (sqrt (- x 1)))>
#<alt (* (/ 1 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (sqrt (- x 1)))>
#<alt (* (/ 1 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (sqrt (- x 1)))>
#<alt (* (/ 1 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (sqrt (- x 1)))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* x (+ (* -1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt (+ (sqrt -1) (* x (+ (* -1/2 (sqrt -1)) (+ (* 1/2 (/ 1 (sqrt -1))) (* x (- (* 3/8 (sqrt -1)) (+ (* 1/8 (/ 1 (pow (sqrt -1) 3))) (* 1/4 (/ 1 (sqrt -1))))))))))>
#<alt (+ (sqrt -1) (* x (+ (* -1/2 (sqrt -1)) (+ (* 1/2 (/ 1 (sqrt -1))) (* x (- (+ (* 3/8 (sqrt -1)) (* x (+ (* -5/16 (sqrt -1)) (+ (* 1/16 (/ 1 (pow (sqrt -1) 3))) (+ (* 1/16 (/ 1 (pow (sqrt -1) 5))) (* 3/16 (/ 1 (sqrt -1)))))))) (+ (* 1/8 (/ 1 (pow (sqrt -1) 3))) (* 1/4 (/ 1 (sqrt -1))))))))))>
#<alt (* 16 (sqrt (/ 1 (pow x 5))))>
#<alt (/ (+ (* 16 (sqrt (/ 1 x))) (* 32 (sqrt (/ 1 (pow x 3))))) (pow x 2))>
#<alt (/ (+ (* -64 (sqrt (/ 1 (pow x 5)))) (+ (* -8 (sqrt (/ 1 (pow x 3)))) (+ (* 16 (sqrt (/ 1 x))) (* 32 (sqrt (/ 1 (pow x 3))))))) (pow x 2))>
#<alt (/ (+ (* -640 (sqrt (/ 1 (pow x 7)))) (+ (* -64 (sqrt (/ 1 (pow x 5)))) (+ (* -16 (sqrt (/ 1 (pow x 5)))) (+ (* -8 (sqrt (/ 1 (pow x 3)))) (+ (* 16 (sqrt (/ 1 x))) (* 32 (sqrt (/ 1 (pow x 3))))))))) (pow x 2))>
#<alt (* -16 (sqrt (/ 1 (pow x 5))))>
#<alt (/ (+ (* -32 (sqrt (/ 1 (pow x 3)))) (* -16 (sqrt (/ 1 x)))) (pow x 2))>
#<alt (/ (+ (* -16 (sqrt (/ 1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -8 (sqrt x)) (* 64 (sqrt (/ 1 x)))) x)) (* 32 (sqrt (/ 1 x)))) x))) (pow x 2))>
#<alt (/ (+ (* -16 (sqrt (/ 1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -8 (sqrt x)) (+ (* -1 (/ (+ (* -640 (sqrt (/ 1 x))) (* 16 (sqrt x))) x)) (* 64 (sqrt (/ 1 x))))) x)) (* 32 (sqrt (/ 1 x)))) x))) (pow x 2))>
#<alt (/ 1 (* t (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))>
#<alt (/ 1 (* t (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))>
#<alt (/ 1 (* t (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))>
#<alt (/ 1 (* t (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))>
#<alt (/ 1 (* t (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))>
#<alt (/ 1 (* t (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))>
#<alt (/ 1 (* t (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))>
#<alt (/ 1 (* t (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))>
#<alt (/ 1 (* t (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))>
#<alt (/ 1 (* t (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))>
#<alt (/ 1 (* t (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))>
#<alt (/ 1 (* t (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))>
#<alt (/ 1 t)>
#<alt (+ (* -1/2 (/ x t)) (/ 1 t))>
#<alt (+ (* x (- (* 3/8 (/ x t)) (* 1/2 (/ 1 t)))) (/ 1 t))>
#<alt (+ (* x (- (* x (+ (* -5/16 (/ x t)) (* 3/8 (/ 1 t)))) (* 1/2 (/ 1 t)))) (/ 1 t))>
#<alt (/ 16 (* t (pow x 3)))>
#<alt (/ (+ (* 16 (/ 1 t)) (* 32 (/ 1 (* t x)))) (pow x 3))>
#<alt (/ (- (+ (* 16 (/ 1 t)) (/ 32 (* t x))) (/ 64 (* t (pow x 2)))) (pow x 3))>
#<alt (/ (+ (* -1 (/ (+ (* 64 (/ 1 t)) (* 640 (/ 1 (* t x)))) (pow x 2))) (+ (* 16 (/ 1 t)) (/ 32 (* t x)))) (pow x 3))>
#<alt (/ 16 (* t (pow x 3)))>
#<alt (/ (+ (* 16 (/ 1 t)) (* 32 (/ 1 (* t x)))) (pow x 3))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 32 (/ 1 t)) (* 64 (/ 1 (* t x)))) x)) (* 16 (/ 1 t))) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* 64 (/ 1 t)) (* 640 (/ 1 (* t x)))) x)) (* 32 (/ 1 t))) x)) (* 16 (/ 1 t))) (pow x 3)))>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (* 1/16 (pow x 3))>
#<alt (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/16 (+ (/ 1/2 (pow x 2)) (/ 1 (pow x 3)))) (* 1/8 (/ 1 x))))>
#<alt (* 1/16 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8) x)) 1/16)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 x)))>
#<alt (* (pow x 2) (+ 1/2 (* x (- (* 1/2 x) 1/2))))>
#<alt (* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))))>
#<alt (* 1/2 x)>
#<alt (* x (- 1/2 (* 1/2 (/ 1 x))))>
#<alt (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2)))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))>
#<alt (/ (* t (* x (* (sqrt 1/2) (sqrt 2)))) l)>
#<alt (* x (+ (* -1/4 (/ (* t (* x (sqrt 2))) (* l (sqrt 1/2)))) (/ (* t (* (sqrt 1/2) (sqrt 2))) l)))>
#<alt (* x (+ (* x (+ (* -1/4 (/ (* t (sqrt 2)) (* l (sqrt 1/2)))) (* 1/2 (/ (* t (* x (* (sqrt 2) (- 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2))))))) (* l (sqrt 1/2)))))) (/ (* t (* (sqrt 1/2) (sqrt 2))) l)))>
#<alt (* x (+ (* x (+ (* -1/4 (/ (* t (sqrt 2)) (* l (sqrt 1/2)))) (* x (+ (* -1/2 (/ (* t (* x (* (sqrt 2) (+ 1/2 (* -1/4 (/ (- 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))))) (* l (sqrt 1/2)))) (* 1/2 (/ (* t (* (sqrt 2) (- 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))))) (* l (sqrt 1/2)))))))) (/ (* 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))))) (+ (* 1/4 (* (/ (* t (sqrt 2)) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt (/ 1 x))))))>
#<alt (* x (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ 1/2 (* 1/16 (/ x (pow (sqrt 1/2) 2)))))) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/4 (* (/ (* t (sqrt 2)) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/4 (* (/ (* t (sqrt 2)) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt (/ 1 x)))))))>
#<alt (* -1 (* (/ (* t (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))) l) (sqrt x)))>
#<alt (* -1 (* x (+ (* 1/4 (* (/ (* t (* (pow (sqrt -1) 2) (sqrt 2))) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* t (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))) l) (sqrt (/ 1 x))))))>
#<alt (* -1 (* x (+ (* -1/4 (* (/ (* t (* (pow (sqrt -1) 2) (sqrt 2))) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/4 (* (/ (* t (* (pow (sqrt -1) 2) (sqrt 2))) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* t (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))) l) (sqrt (/ 1 x)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (/ (* t (* (pow (sqrt -1) 2) (* (sqrt 2) (- 1/2 (* -1/16 (/ x (pow (sqrt 1/2) 2))))))) (* l (sqrt 1/2))) (sqrt (/ 1 x)))) (* 1/4 (* (/ (* t (* (pow (sqrt -1) 2) (sqrt 2))) (* l (sqrt 1/2))) (sqrt x)))) (pow x 3))) (+ (* 1/4 (* (/ (* t (* (pow (sqrt -1) 2) (sqrt 2))) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* t (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))) l) (sqrt (/ 1 x)))))))>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (sqrt 2) l)>
#<alt (/ (sqrt 2) l)>
#<alt (/ (sqrt 2) l)>
#<alt (/ (sqrt 2) l)>
#<alt (/ (sqrt 2) l)>
#<alt (/ (sqrt 2) l)>
#<alt (/ (sqrt 2) l)>
#<alt (/ (sqrt 2) l)>
#<alt (/ (sqrt 2) l)>
#<alt (/ (sqrt 2) l)>
#<alt (/ (sqrt 2) l)>
#<alt (/ (sqrt 2) l)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* t (sqrt (- x 1)))>
#<alt (* t (sqrt (- x 1)))>
#<alt (* t (sqrt (- x 1)))>
#<alt (* t (sqrt (- x 1)))>
#<alt (* t (sqrt (- x 1)))>
#<alt (* t (sqrt (- x 1)))>
#<alt (* t (sqrt (- x 1)))>
#<alt (* t (sqrt (- x 1)))>
#<alt (* t (sqrt (- x 1)))>
#<alt (* t (sqrt (- x 1)))>
#<alt (* t (sqrt (- x 1)))>
#<alt (* t (sqrt (- x 1)))>
#<alt (* t (sqrt -1))>
#<alt (+ (* 1/2 (/ (* t x) (sqrt -1))) (* t (sqrt -1)))>
#<alt (+ (* t (sqrt -1)) (* x (+ (* -1/8 (/ (* t x) (pow (sqrt -1) 3))) (* 1/2 (/ t (sqrt -1))))))>
#<alt (+ (* t (sqrt -1)) (* x (+ (* 1/2 (/ t (sqrt -1))) (* x (+ (* -1/8 (/ t (pow (sqrt -1) 3))) (* 1/16 (/ (* t x) (pow (sqrt -1) 5))))))))>
#<alt (* t (sqrt x))>
#<alt (* x (+ (* -1/2 (* t (sqrt (/ 1 (pow x 3))))) (* t (sqrt (/ 1 x)))))>
#<alt (* x (+ (* -1/2 (* t (sqrt (/ 1 (pow x 3))))) (+ (* -1/8 (* t (sqrt (/ 1 (pow x 5))))) (* t (sqrt (/ 1 x))))))>
#<alt (* x (+ (* -1/2 (* t (sqrt (/ 1 (pow x 3))))) (+ (* -1/8 (* t (sqrt (/ 1 (pow x 5))))) (+ (* -1/16 (* t (sqrt (/ 1 (pow x 7))))) (* t (sqrt (/ 1 x)))))))>
#<alt (* -1 (* t (sqrt x)))>
#<alt (* -1 (* x (+ (* 1/2 (* t (sqrt (/ 1 (pow x 3))))) (* t (sqrt (/ 1 x))))))>
#<alt (* -1 (* x (+ (* -1/8 (* t (sqrt (/ 1 (pow x 5))))) (+ (* 1/2 (* t (sqrt (/ 1 (pow x 3))))) (* t (sqrt (/ 1 x)))))))>
#<alt (* -1 (* x (+ (* -1/8 (* t (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* t (sqrt (/ 1 (pow x 7))))) (+ (* 1/2 (* t (sqrt (/ 1 (pow x 3))))) (* t (sqrt (/ 1 x))))))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))>
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))>
#<alt (* 1/16 (pow x 3))>
#<alt (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))>
#<alt (* 1/16 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))>

Calls

81 calls:

Time	Variable		Point	Expression
17.0ms	x	@	-inf	(* (/ (/ 1 t) (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (/ t (pow (+ x -1) -1/2)))
2.0ms	x	@	-inf	(* (* t (/ (sqrt 2) l)) (sqrt (/ 1 (/ (+ 2 (/ 2 x)) x))))
2.0ms	t	@	0	(* (/ (/ 1 t) (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (/ t (pow (+ x -1) -1/2)))
1.0ms	t	@	0	(* (* t (/ (sqrt 2) l)) (sqrt (/ 1 (/ (+ 2 (/ 2 x)) x))))
1.0ms	x	@	inf	(* (* t (/ (sqrt 2) l)) (sqrt (/ 1 (/ (+ 2 (/ 2 x)) x))))

rewrite397.0ms (2.6%)

Memory

9.1MiB live, 684.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 574×	`/-lowering-/.f32`
5 574×	`/-lowering-/.f64`
3 568×	`-lowering-.f32`
3 568×	`-lowering-.f64`
2 324×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	168
1	265	153
2	2153	151
0	8768	140

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 781

Calls

Call 1

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

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

simplify396.0ms (2.6%)

Memory

22.8MiB live, 605.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 300×	`accelerator-lowering-fma.f32`
7 300×	`accelerator-lowering-fma.f64`
6 454×	`-lowering-.f32`
6 454×	`-lowering-.f64`
2 536×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	592	4019
1	1818	3615
2	6402	3594
0	8148	3414

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

Inputs
(/ -1 x)
(/ (- x 1) x)
(/ (- x 1) x)
(/ (- x 1) x)
1
(- 1 (/ 1 x))
(- 1 (/ 1 x))
(- 1 (/ 1 x))
1
(- 1 (/ 1 x))
(- 1 (/ 1 x))
(- 1 (/ 1 x))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(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 (/ (- x 1) (+ 1 x))))
(* t (sqrt (/ (- x 1) (+ 1 x))))
(* t (sqrt (/ (- x 1) (+ 1 x))))
(* t (sqrt (/ (- x 1) (+ 1 x))))
(* t (sqrt (/ (- x 1) (+ 1 x))))
(* t (sqrt (/ (- x 1) (+ 1 x))))
(* t (sqrt (/ (- x 1) (+ 1 x))))
(* t (sqrt (/ (- x 1) (+ 1 x))))
(* t (sqrt (/ (- x 1) (+ 1 x))))
(* t (sqrt (/ (- x 1) (+ 1 x))))
(* t (sqrt (/ (- x 1) (+ 1 x))))
(* t (sqrt (/ (- x 1) (+ 1 x))))
(* t (sqrt -1))
(+ (* t (sqrt -1)) (/ (* t x) (sqrt -1)))
(+ (* t (sqrt -1)) (* x (+ (* -1/2 (/ (* t (* x (+ 2 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (/ t (sqrt -1)))))
(+ (* t (sqrt -1)) (* x (+ (* x (+ (* -1/2 (/ (* t (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ (* t (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))))) (sqrt -1))))) (/ t (sqrt -1)))))
t
(+ t (* -1 (/ t x)))
(+ t (+ (* -1 (/ t x)) (* 1/2 (/ t (pow x 2)))))
(+ t (+ (* -1 (/ t x)) (+ (* -1/2 (/ t (pow x 3))) (* 1/2 (/ t (pow x 2))))))
t
(+ t (/ t (* x (pow (sqrt -1) 2))))
(+ t (* -1 (/ (+ (* -1 (/ t (pow (sqrt -1) 2))) (* 1/2 (/ (* t (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* x (pow (sqrt -1) 2))))) x)))
(+ t (* -1 (/ (+ (* -1 (/ t (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1/2 (/ (* t (+ 2 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/2 (/ (* t (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4))))) (* x (pow (sqrt -1) 2))))) x))) x)))
(sqrt -1)
(+ (sqrt -1) (* -1 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (- (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))
(+ (sqrt -1) (* x (- (* x (+ (* -1/2 (/ (* x (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4))))) (sqrt -1))) (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))))) (/ 1 (sqrt -1)))))
1
(+ 1 (/ 1 x))
(+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x)))
(+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3))))))
(pow (sqrt -1) 2)
(- (pow (sqrt -1) 2) (/ 1 x))
(+ (* -1 (/ (+ 1 (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) x))) x)) (pow (sqrt -1) 2))
(+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/2 (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) x))) x))) x)) (pow (sqrt -1) 2))
-1
(- (* -2 x) 1)
(- (* x (- (* -2 x) 2)) 1)
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1)
1
(+ 1 (* 2 (/ 1 x)))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))
1
(+ 1 (* 2 (/ 1 x)))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))
(* (/ 1 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (sqrt (- x 1)))
(* (/ 1 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (sqrt (- x 1)))
(* (/ 1 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (sqrt (- x 1)))
(* (/ 1 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (sqrt (- x 1)))
(* (/ 1 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (sqrt (- x 1)))
(* (/ 1 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (sqrt (- x 1)))
(* (/ 1 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (sqrt (- x 1)))
(* (/ 1 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (sqrt (- x 1)))
(* (/ 1 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (sqrt (- x 1)))
(* (/ 1 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (sqrt (- x 1)))
(* (/ 1 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (sqrt (- x 1)))
(* (/ 1 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) (sqrt (- x 1)))
(sqrt -1)
(+ (sqrt -1) (* x (+ (* -1/2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* x (+ (* -1/2 (sqrt -1)) (+ (* 1/2 (/ 1 (sqrt -1))) (* x (- (* 3/8 (sqrt -1)) (+ (* 1/8 (/ 1 (pow (sqrt -1) 3))) (* 1/4 (/ 1 (sqrt -1))))))))))
(+ (sqrt -1) (* x (+ (* -1/2 (sqrt -1)) (+ (* 1/2 (/ 1 (sqrt -1))) (* x (- (+ (* 3/8 (sqrt -1)) (* x (+ (* -5/16 (sqrt -1)) (+ (* 1/16 (/ 1 (pow (sqrt -1) 3))) (+ (* 1/16 (/ 1 (pow (sqrt -1) 5))) (* 3/16 (/ 1 (sqrt -1)))))))) (+ (* 1/8 (/ 1 (pow (sqrt -1) 3))) (* 1/4 (/ 1 (sqrt -1))))))))))
(* 16 (sqrt (/ 1 (pow x 5))))
(/ (+ (* 16 (sqrt (/ 1 x))) (* 32 (sqrt (/ 1 (pow x 3))))) (pow x 2))
(/ (+ (* -64 (sqrt (/ 1 (pow x 5)))) (+ (* -8 (sqrt (/ 1 (pow x 3)))) (+ (* 16 (sqrt (/ 1 x))) (* 32 (sqrt (/ 1 (pow x 3))))))) (pow x 2))
(/ (+ (* -640 (sqrt (/ 1 (pow x 7)))) (+ (* -64 (sqrt (/ 1 (pow x 5)))) (+ (* -16 (sqrt (/ 1 (pow x 5)))) (+ (* -8 (sqrt (/ 1 (pow x 3)))) (+ (* 16 (sqrt (/ 1 x))) (* 32 (sqrt (/ 1 (pow x 3))))))))) (pow x 2))
(* -16 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -32 (sqrt (/ 1 (pow x 3)))) (* -16 (sqrt (/ 1 x)))) (pow x 2))
(/ (+ (* -16 (sqrt (/ 1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -8 (sqrt x)) (* 64 (sqrt (/ 1 x)))) x)) (* 32 (sqrt (/ 1 x)))) x))) (pow x 2))
(/ (+ (* -16 (sqrt (/ 1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -8 (sqrt x)) (+ (* -1 (/ (+ (* -640 (sqrt (/ 1 x))) (* 16 (sqrt x))) x)) (* 64 (sqrt (/ 1 x))))) x)) (* 32 (sqrt (/ 1 x)))) x))) (pow x 2))
(/ 1 (* t (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
(/ 1 (* t (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
(/ 1 (* t (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
(/ 1 (* t (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
(/ 1 (* t (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
(/ 1 (* t (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
(/ 1 (* t (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
(/ 1 (* t (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
(/ 1 (* t (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
(/ 1 (* t (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
(/ 1 (* t (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
(/ 1 (* t (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
(/ 1 t)
(+ (* -1/2 (/ x t)) (/ 1 t))
(+ (* x (- (* 3/8 (/ x t)) (* 1/2 (/ 1 t)))) (/ 1 t))
(+ (* x (- (* x (+ (* -5/16 (/ x t)) (* 3/8 (/ 1 t)))) (* 1/2 (/ 1 t)))) (/ 1 t))
(/ 16 (* t (pow x 3)))
(/ (+ (* 16 (/ 1 t)) (* 32 (/ 1 (* t x)))) (pow x 3))
(/ (- (+ (* 16 (/ 1 t)) (/ 32 (* t x))) (/ 64 (* t (pow x 2)))) (pow x 3))
(/ (+ (* -1 (/ (+ (* 64 (/ 1 t)) (* 640 (/ 1 (* t x)))) (pow x 2))) (+ (* 16 (/ 1 t)) (/ 32 (* t x)))) (pow x 3))
(/ 16 (* t (pow x 3)))
(/ (+ (* 16 (/ 1 t)) (* 32 (/ 1 (* t x)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (- (* 32 (/ 1 t)) (* 64 (/ 1 (* t x)))) x)) (* 16 (/ 1 t))) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* 64 (/ 1 t)) (* 640 (/ 1 (* t x)))) x)) (* 32 (/ 1 t))) x)) (* 16 (/ 1 t))) (pow x 3)))
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
(/ 1 t)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(* 1/16 (pow x 3))
(* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(* (pow x 3) (- (+ 1/16 (+ (/ 1/2 (pow x 2)) (/ 1 (pow x 3)))) (* 1/8 (/ 1 x))))
(* 1/16 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8) x)) 1/16)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/2 x)))
(* (pow x 2) (+ 1/2 (* x (- (* 1/2 x) 1/2))))
(* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))))
(* 1/2 x)
(* x (- 1/2 (* 1/2 (/ 1 x))))
(* x (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))))
(* x (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2)))
(* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))
(/ (* t (* x (* (sqrt 1/2) (sqrt 2)))) l)
(* x (+ (* -1/4 (/ (* t (* x (sqrt 2))) (* l (sqrt 1/2)))) (/ (* t (* (sqrt 1/2) (sqrt 2))) l)))
(* x (+ (* x (+ (* -1/4 (/ (* t (sqrt 2)) (* l (sqrt 1/2)))) (* 1/2 (/ (* t (* x (* (sqrt 2) (- 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2))))))) (* l (sqrt 1/2)))))) (/ (* t (* (sqrt 1/2) (sqrt 2))) l)))
(* x (+ (* x (+ (* -1/4 (/ (* t (sqrt 2)) (* l (sqrt 1/2)))) (* x (+ (* -1/2 (/ (* t (* x (* (sqrt 2) (+ 1/2 (* -1/4 (/ (- 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))))) (* l (sqrt 1/2)))) (* 1/2 (/ (* t (* (sqrt 2) (- 1/2 (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))))) (* l (sqrt 1/2)))))))) (/ (* 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))))) (+ (* 1/4 (* (/ (* t (sqrt 2)) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt (/ 1 x))))))
(* x (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ 1/2 (* 1/16 (/ x (pow (sqrt 1/2) 2)))))) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/4 (* (/ (* t (sqrt 2)) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/4 (* (/ (* t (sqrt 2)) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt (/ 1 x)))))))
(* -1 (* (/ (* t (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))) l) (sqrt x)))
(* -1 (* x (+ (* 1/4 (* (/ (* t (* (pow (sqrt -1) 2) (sqrt 2))) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* t (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))) l) (sqrt (/ 1 x))))))
(* -1 (* x (+ (* -1/4 (* (/ (* t (* (pow (sqrt -1) 2) (sqrt 2))) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/4 (* (/ (* t (* (pow (sqrt -1) 2) (sqrt 2))) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* t (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))) l) (sqrt (/ 1 x)))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (/ (* t (* (pow (sqrt -1) 2) (* (sqrt 2) (- 1/2 (* -1/16 (/ x (pow (sqrt 1/2) 2))))))) (* l (sqrt 1/2))) (sqrt (/ 1 x)))) (* 1/4 (* (/ (* t (* (pow (sqrt -1) 2) (sqrt 2))) (* l (sqrt 1/2))) (sqrt x)))) (pow x 3))) (+ (* 1/4 (* (/ (* t (* (pow (sqrt -1) 2) (sqrt 2))) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* t (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))) l) (sqrt (/ 1 x)))))))
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (sqrt 2) l)
(/ (sqrt 2) l)
(/ (sqrt 2) l)
(/ (sqrt 2) l)
(/ (sqrt 2) l)
(/ (sqrt 2) l)
(/ (sqrt 2) l)
(/ (sqrt 2) l)
(/ (sqrt 2) l)
(/ (sqrt 2) l)
(/ (sqrt 2) l)
(/ (sqrt 2) l)
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* t (sqrt (- x 1)))
(* t (sqrt (- x 1)))
(* t (sqrt (- x 1)))
(* t (sqrt (- x 1)))
(* t (sqrt (- x 1)))
(* t (sqrt (- x 1)))
(* t (sqrt (- x 1)))
(* t (sqrt (- x 1)))
(* t (sqrt (- x 1)))
(* t (sqrt (- x 1)))
(* t (sqrt (- x 1)))
(* t (sqrt (- x 1)))
(* t (sqrt -1))
(+ (* 1/2 (/ (* t x) (sqrt -1))) (* t (sqrt -1)))
(+ (* t (sqrt -1)) (* x (+ (* -1/8 (/ (* t x) (pow (sqrt -1) 3))) (* 1/2 (/ t (sqrt -1))))))
(+ (* t (sqrt -1)) (* x (+ (* 1/2 (/ t (sqrt -1))) (* x (+ (* -1/8 (/ t (pow (sqrt -1) 3))) (* 1/16 (/ (* t x) (pow (sqrt -1) 5))))))))
(* t (sqrt x))
(* x (+ (* -1/2 (* t (sqrt (/ 1 (pow x 3))))) (* t (sqrt (/ 1 x)))))
(* x (+ (* -1/2 (* t (sqrt (/ 1 (pow x 3))))) (+ (* -1/8 (* t (sqrt (/ 1 (pow x 5))))) (* t (sqrt (/ 1 x))))))
(* x (+ (* -1/2 (* t (sqrt (/ 1 (pow x 3))))) (+ (* -1/8 (* t (sqrt (/ 1 (pow x 5))))) (+ (* -1/16 (* t (sqrt (/ 1 (pow x 7))))) (* t (sqrt (/ 1 x)))))))
(* -1 (* t (sqrt x)))
(* -1 (* x (+ (* 1/2 (* t (sqrt (/ 1 (pow x 3))))) (* t (sqrt (/ 1 x))))))
(* -1 (* x (+ (* -1/8 (* t (sqrt (/ 1 (pow x 5))))) (+ (* 1/2 (* t (sqrt (/ 1 (pow x 3))))) (* t (sqrt (/ 1 x)))))))
(* -1 (* x (+ (* -1/8 (* t (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* t (sqrt (/ 1 (pow x 7))))) (+ (* 1/2 (* t (sqrt (/ 1 (pow x 3))))) (* t (sqrt (/ 1 x))))))))
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* 1/16 (pow x 3))
(* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(* 1/16 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))

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

eval142.0ms (0.9%)

Memory: 0.4MiB live, 284.4MiB allocated
Compiler: Compiled 26 862 to 3 214 computations (88% saved)

prune206.0ms (1.4%)

Memory

10.8MiB live, 326.6MiB allocated

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	1 122	10	1 132
Fresh	7	10	17
Picked	3	2	5
Done	0	2	2
Total	1 132	24	1 156

Accuracy

100.0%

Counts

1 156 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.6%	(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
	26.9%	(/.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) l)
	56.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (+.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 t x)) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))))
	75.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 0 binary64) t))))
✓	5.9%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
	75.5%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) t) (-.f64 #s(literal 0 binary64) t)))
	3.6%	(/.f64 #s(literal -1 binary64) x)
✓	75.6%	(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x))
✓	75.5%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	74.4%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) t)) (/.f64 t (sqrt.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))))
	27.0%	(.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) l) t)
	69.1%	(.f64 (/.f64 t (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (exp.f64 (.f64 (log.f64 t) #s(literal -1 binary64))))
	5.6%	(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x))
	24.8%	(.f64 (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))
	17.6%	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 x (.f64 #s(literal 2 binary64) (.f64 l l)))))
	74.8%	(*.f64 t (/.f64 #s(literal 1 binary64) t))
	17.7%	(.f64 t (sqrt.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 l l)))))
	17.7%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 l l)) x))))
	59.7%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (-.f64 (-.f64 (-.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) #s(literal -1 binary64)) (.f64 l l)) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) x)) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (/.f64 (.f64 l l) x))) x)))))
	59.5%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t))) x))))))
	5.9%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 l l) #s(literal -2 binary64)))))
	45.0%	(.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t t))))
	17.2%	(.f64 t (sqrt.f64 (+.f64 (.f64 x (/.f64 #s(literal -2 binary64) (.f64 (.f64 l l) #s(literal -2 binary64)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 l l) #s(literal -2 binary64))))))
✓	75.0%	#s(literal 1 binary64)

Compiler

Compiled 1 658 to 587 computations (64.6% saved)

regimes116.0ms (0.8%)

Memory

-0.0MiB live, 251.6MiB allocated

Counts

65 → 4

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
(*.f64 t (/.f64 #s(literal 1 binary64) t))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t t))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 l l) #s(literal -2 binary64)))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 l l)) x))))
(.f64 t (sqrt.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 l l)))))
(.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 t t)))))
(*.f64 (/.f64 t (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) t))
(.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) l) t)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) t) (-.f64 #s(literal 0 binary64) t)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) (/.f64 t (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (.f64 l (-.f64 (-.f64 #s(literal 0 binary64) l) l)) (.f64 t (.f64 t #s(literal -2 binary64)))))) t)
(.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))) l) t)
(.f64 t (sqrt.f64 (+.f64 (.f64 x (/.f64 #s(literal -2 binary64) (.f64 (.f64 l l) #s(literal -2 binary64)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 l l) #s(literal -2 binary64))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) t) (/.f64 t (.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) t))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 0 binary64) t))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 t (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)) #s(literal 2 binary64))) t))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t))) x))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (-.f64 (-.f64 (-.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) #s(literal -1 binary64)) (.f64 l l)) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) x)) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (/.f64 (.f64 l l) x))) x)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (.f64 t (*.f64 t #s(literal 2 binary64)))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 x (.f64 #s(literal 2 binary64) (.f64 l l)))))
(.f64 (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
(/.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) l)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 t (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 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 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) t) (/.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 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) x)))) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (.f64 l l))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
(.f64 t (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) (-.f64 (.f64 (.f64 l l) #s(literal -1 binary64)) (*.f64 l l))))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))))
(.f64 (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) t)) (/.f64 t (sqrt.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t))) (+.f64 (/.f64 (.f64 l l) x) (/.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) x)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 t (.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 (.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) #s(literal -2 binary64)) (/.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) x)) (+.f64 (/.f64 (.f64 t (.f64 t #s(literal 2 binary64))) x) (/.f64 (*.f64 l l) x))) x))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 t (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (exp.f64 (.f64 (log.f64 t) #s(literal -1 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (exp.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64)))) (/.f64 t (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
(.f64 (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 t (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (+.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 t x)) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 t (.f64 x (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 l l))) (.f64 x (.f64 x x))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 l l))) x))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l) l (-.f64 (/.f64 (.f64 (.f64 t t) (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64))) (.f64 l l)))))
(/.f64 (-.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t (.f64 t t))) (+.f64 x #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 l l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))))) l)

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

Calls

6 calls:

20.0ms	x
19.0ms	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
18.0ms	t
18.0ms	l
18.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
80.2%	3	`x`
83.4%	2	`l`
89.3%	4	`t`
85.5%	3	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
75.6%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
84.4%	3	`(*.f64 l l)`

Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes24.0ms (0.2%)

Memory

-20.8MiB live, 53.8MiB allocated

Counts

61 → 4

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
(*.f64 t (/.f64 #s(literal 1 binary64) t))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t t))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 l l) #s(literal -2 binary64)))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 l l)) x))))
(.f64 t (sqrt.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 l l)))))
(.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 t t)))))
(*.f64 (/.f64 t (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) t))
(.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) l) t)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) t) (-.f64 #s(literal 0 binary64) t)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) (/.f64 t (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (.f64 l (-.f64 (-.f64 #s(literal 0 binary64) l) l)) (.f64 t (.f64 t #s(literal -2 binary64)))))) t)
(.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))) l) t)
(.f64 t (sqrt.f64 (+.f64 (.f64 x (/.f64 #s(literal -2 binary64) (.f64 (.f64 l l) #s(literal -2 binary64)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 l l) #s(literal -2 binary64))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) t) (/.f64 t (.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) t))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 0 binary64) t))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 t (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)) #s(literal 2 binary64))) t))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t))) x))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (-.f64 (-.f64 (-.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) #s(literal -1 binary64)) (.f64 l l)) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) x)) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (/.f64 (.f64 l l) x))) x)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (.f64 t (*.f64 t #s(literal 2 binary64)))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 x (.f64 #s(literal 2 binary64) (.f64 l l)))))
(.f64 (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
(/.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) l)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 t (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 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 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) t) (/.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 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) x)))) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (.f64 l l))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
(.f64 t (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) (-.f64 (.f64 (.f64 l l) #s(literal -1 binary64)) (*.f64 l l))))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))))
(.f64 (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) t)) (/.f64 t (sqrt.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t))) (+.f64 (/.f64 (.f64 l l) x) (/.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) x)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 t (.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 (.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) #s(literal -2 binary64)) (/.f64 (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64)))) x)) (+.f64 (/.f64 (.f64 t (.f64 t #s(literal 2 binary64))) x) (/.f64 (*.f64 l l) x))) x))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 t (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (exp.f64 (.f64 (log.f64 t) #s(literal -1 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (exp.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64)))) (/.f64 t (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
(.f64 (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 t (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
88.2%	4	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

Memory

-8.3MiB live, 29.6MiB allocated

Counts

30 → 4

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
(*.f64 t (/.f64 #s(literal 1 binary64) t))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t t))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 l l) #s(literal -2 binary64)))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 l l)) x))))
(.f64 t (sqrt.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 l l)))))
(.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 t t)))))
(*.f64 (/.f64 t (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) t))
(.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) l) t)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) t) (-.f64 #s(literal 0 binary64) t)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) (/.f64 t (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (.f64 l (-.f64 (-.f64 #s(literal 0 binary64) l) l)) (.f64 t (.f64 t #s(literal -2 binary64)))))) t)
(.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))) l) t)
(.f64 t (sqrt.f64 (+.f64 (.f64 x (/.f64 #s(literal -2 binary64) (.f64 (.f64 l l) #s(literal -2 binary64)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 l l) #s(literal -2 binary64))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) t) (/.f64 t (.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) t))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 0 binary64) t))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 t (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)) #s(literal 2 binary64))) t))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t))) x))))))

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
88.1%	4	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes22.0ms (0.1%)

Memory

1.6MiB live, 44.3MiB allocated

Counts

29 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
(*.f64 t (/.f64 #s(literal 1 binary64) t))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 t t))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 l l) #s(literal -2 binary64)))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 l l)) x))))
(.f64 t (sqrt.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 l l)))))
(.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 t t)))))
(*.f64 (/.f64 t (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) t))
(.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) l) t)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) t) (-.f64 #s(literal 0 binary64) t)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) (/.f64 t (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (.f64 l (-.f64 (-.f64 #s(literal 0 binary64) l) l)) (.f64 t (.f64 t #s(literal -2 binary64)))))) t)
(.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))) l) t)
(.f64 t (sqrt.f64 (+.f64 (.f64 x (/.f64 #s(literal -2 binary64) (.f64 (.f64 l l) #s(literal -2 binary64)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 l l) #s(literal -2 binary64))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) t) (/.f64 t (.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) t))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 0 binary64) t))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 t (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)) #s(literal 2 binary64))) t))

Outputs

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

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

Calls

2 calls:

11.0ms	l
8.0ms	t

Results

Accuracy	Segments	Branch
83.4%	2	`l`
82.8%	2	`t`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes16.0ms (0.1%)

Memory

-1.6MiB live, 37.7MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

6.0ms	t
5.0ms	l
4.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
80.1%	2	`t`
75.6%	1	`(*.f64 l l)`
77.9%	2	`l`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes5.0ms (0%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
80.1%	2	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Memory

-6.9MiB live, 32.4MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

5.0ms	l
4.0ms	t
4.0ms	x

Results

Accuracy	Segments	Branch
77.9%	2	`l`
75.6%	1	`x`
75.6%	1	`t`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Memory

20.9MiB live, 20.9MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	l
4.0ms	x

Results

Accuracy	Segments	Branch
75.6%	1	`x`
75.6%	1	`l`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes10.0ms (0.1%)

Memory

-15.3MiB live, 24.3MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	t
3.0ms	l
3.0ms	x

Results

Accuracy	Segments	Branch
75.5%	1	`l`
75.5%	1	`t`
75.5%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0%)

Memory

15.7MiB live, 15.7MiB allocated

Accuracy

Total -45.7b remaining (-285.5%)

Threshold costs -45.7b (-285.5%)

Counts

3 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary64)

Calls

3 calls:

2.0ms	l
2.0ms	x
2.0ms	t

Results

Accuracy	Segments	Branch
75.0%	1	`l`
75.0%	1	`t`
75.0%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch157.0ms (1%)

Memory

-5.9MiB live, 148.3MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	5.721813121287969e+92	7.968710529353531e+93
104.0ms	6.979534507173722e-160	2.2185682919652694e-156
23.0ms	2.4930445138070403e-221	7.745867824677926e-221

Samples

40.0ms	20×	2	valid
28.0ms	135×	1	valid
16.0ms	149×	0	valid
9.0ms	50×	1	invalid
1.0ms	2×	2	invalid
0.0ms	3×	0	invalid

Compiler

Compiled 1 515 to 728 computations (51.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-add: 42.0ms (51.7% of total)

ival-mult: 14.0ms (17.2% of total)

ival-div: 7.0ms (8.6% of total)

ival-sqrt: 7.0ms (8.6% of total)

ival-sub: 6.0ms (7.4% of total)

adjust: 4.0ms (4.9% of total)

exact: 1.0ms (1.2% of total)

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

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

bsearch111.0ms (0.7%)

Memory

-8.5MiB live, 193.7MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
19.0ms	5.721813121287969e+92	7.968710529353531e+93
37.0ms	6.979534507173722e-160	2.2185682919652694e-156
39.0ms	2.4292776164859e-205	2.24781525290337e-202

Samples

33.0ms	151×	1	valid
22.0ms	182×	0	valid
19.0ms	55×	1	invalid
5.0ms	19×	2	valid
2.0ms	6×	2	invalid
0.0ms	3×	0	invalid

Compiler

Compiled 1 335 to 664 computations (50.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 17.0ms (28.2% of total)

ival-sqrt: 14.0ms (23.2% of total)

ival-add: 9.0ms (14.9% of total)

ival-div: 8.0ms (13.3% of total)

ival-sub: 6.0ms (10% of total)

adjust: 5.0ms (8.3% of total)

exact: 1.0ms (1.7% of total)

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

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

bsearch97.0ms (0.6%)

Memory

23.5MiB live, 219.0MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
20.0ms	5.721813121287969e+92	7.968710529353531e+93
34.0ms	6.979534507173722e-160	2.2185682919652694e-156
33.0ms	2.4292776164859e-205	2.24781525290337e-202

Samples

31.0ms	149×	1	valid
26.0ms	179×	0	valid
9.0ms	48×	1	invalid
7.0ms	24×	2	valid
1.0ms	6×	0	invalid
0.0ms	1×	2	invalid

Compiler

Compiled 999 to 580 computations (41.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 20.0ms (34% of total)

ival-sub: 10.0ms (17% of total)

ival-sqrt: 9.0ms (15.3% of total)

ival-div: 8.0ms (13.6% of total)

ival-add: 6.0ms (10.2% of total)

adjust: 5.0ms (8.5% of total)

exact: 1.0ms (1.7% of total)

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

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

bsearch34.0ms (0.2%)

Memory

-3.1MiB live, 73.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	2.8911268421288897e+194	3.790649184212012e+195

Samples

16.0ms	74×	1	valid
7.0ms	26×	1	invalid
2.0ms	22×	0	valid
0.0ms	4×	0	invalid

Compiler

Compiled 219 to 156 computations (28.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 7.0ms (33.5% of total)

ival-sub: 4.0ms (19.2% of total)

ival-div: 3.0ms (14.4% of total)

ival-sqrt: 3.0ms (14.4% of total)

adjust: 2.0ms (9.6% of total)

ival-add: 2.0ms (9.6% of total)

exact: 0.0ms (0% of total)

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

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

bsearch85.0ms (0.6%)

Memory

8.9MiB live, 49.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
81.0ms	2.4292776164859e-205	2.24781525290337e-202

Samples

63.0ms	78×	1	valid
4.0ms	43×	0	valid
4.0ms	22×	1	invalid
2.0ms	7×	2	valid
1.0ms	5×	2	invalid
1.0ms	5×	0	invalid

Compiler

Compiled 265 to 192 computations (27.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 55.0ms (79.4% of total)

ival-sub: 3.0ms (4.3% of total)

ival-div: 3.0ms (4.3% of total)

ival-sqrt: 3.0ms (4.3% of total)

ival-add: 3.0ms (4.3% of total)

adjust: 2.0ms (2.9% of total)

exact: 0.0ms (0% of total)

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

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

bsearch54.0ms (0.4%)

Memory

-5.1MiB live, 72.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
50.0ms	2.4292776164859e-205	2.24781525290337e-202

Samples

16.0ms	79×	1	valid
13.0ms	3×	2	invalid
6.0ms	33×	1	invalid
5.0ms	13×	2	valid
4.0ms	36×	0	valid
0.0ms	2×	0	invalid

Compiler

Compiled 265 to 192 computations (27.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-sub: 15.0ms (40.1% of total)

ival-mult: 7.0ms (18.7% of total)

ival-div: 5.0ms (13.4% of total)

ival-sqrt: 4.0ms (10.7% of total)

adjust: 3.0ms (8% of total)

ival-add: 3.0ms (8% of total)

exact: 0.0ms (0% of total)

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

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

bsearch37.0ms (0.2%)

Memory

-32.9MiB live, 57.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	3.7012692329328495e+234	4.895447628422715e+235

Samples

13.0ms	65×	1	valid
7.0ms	28×	1	invalid
3.0ms	31×	0	valid
0.0ms	2×	0	invalid

Compiler

Compiled 195 to 150 computations (23.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 6.0ms (31.9% of total)

adjust: 3.0ms (15.9% of total)

ival-sqrt: 3.0ms (15.9% of total)

ival-div: 2.0ms (10.6% of total)

ival-sub: 2.0ms (10.6% of total)

ival-add: 2.0ms (10.6% of total)

exact: 0.0ms (0% of total)

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

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

simplify86.0ms (0.6%)

Memory

31.6MiB live, 69.3MiB allocated

Algorithm

1×	egg-herbie

Rules

630×	`distribute-lft-neg-in_binary64`
420×	`unsub-neg_binary64`
352×	`neg-mul-1_binary64`
330×	`neg-sub0_binary64`
260×	`cancel-sign-sub_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	111	412
1	157	410
2	192	410
3	240	410
4	304	408
5	409	408
6	534	408
7	691	408
8	861	408
9	1067	408
10	1337	408
11	1606	408
12	1824	408
13	1961	408
14	2021	408
15	2034	408
16	2034	408
17	2034	408

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 t #s(literal 1780551949697837/50872912848509630386961759877939283730657641008879914553804457182037637617627197811290223700497087789481581959483591006819830334885554237978846405428549423569451580654251209705071092879576217840034217957579701248029256805705844583825408 binary64)) (.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) l) t) (if (<=.f64 t #s(literal 531373909414873/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (+.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 t x)) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))))) (if (<=.f64 t #s(literal 649999999999999999247220724173422091745944409046783589347156796658334918513896720133578031104 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (-.f64 (-.f64 (-.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) #s(literal -1 binary64)) (.f64 l l)) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) x)) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (/.f64 (.f64 l l) x))) x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))
(if (<=.f64 t #s(literal 8119040131286125/176500872419263593559319302637789241459459619490723595292712620678918364397574906244117120062201874810681116593642749786132706054117399434226659568030434131651924755717669757535789504530793970482734834967427158147858432 binary64)) (.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) l) t) (if (<=.f64 t #s(literal 396115096109269/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)) (if (<=.f64 t #s(literal 2599999999999999996988882896693688366983777636187134357388627186633339674055586880534312124416 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (-.f64 (-.f64 (-.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) #s(literal -1 binary64)) (.f64 l l)) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) x)) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (/.f64 (.f64 l l) x))) x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))
(if (<=.f64 t #s(literal 8189640480253831/706003489677054374237277210551156965837838477962894381170850482715673457590299624976468480248807499242724466374570999144530824216469597736906638272121736526607699022870679030143158018123175881930939339869708632591433728 binary64)) (.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) l) t) (if (<=.f64 t #s(literal 3381470332640101/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)) (if (<=.f64 t #s(literal 2200000000000000211222142581478404784809630323582174339211887002180021027814882451984041902080 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t))) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))
(if (<=.f64 l #s(literal 560000000000000020878362268038710537696534401236176515689816147690445618979514171917428654468708254669963469141041350975889534038402613858531232463533369377836060472723739662129763710683377041408 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)) (.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) l) t))
(if (<=.f64 t #s(literal 2400411864901985/1412006979354108748474554421102313931675676955925788762341700965431346915180599249952936960497614998485448932749141998289061648432939195473813276544243473053215398045741358060286316036246351763861878679739417265182867456 binary64)) (.f64 t (sqrt.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 l l))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)))
(if (<=.f64 t #s(literal 3000514831127481/44125218104815898389829825659447310364864904872680898823178155169729591099393726561029280015550468702670279148410687446533176513529349858556664892007608532912981188929417439383947376132698492620683708741856789536964608 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 l l)) x)))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)))
(if (<=.f64 l #s(literal 12999999999999998996749880389644939293378757625041913254551717772210544168938656755357207362034996438209085589218267539613116279709071803161141861674691956463777068424366826709007020999262010857026859422965775853120192322440748660162560 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 l l) #s(literal -2 binary64))))))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
#s(literal 1 binary64)

Outputs
(if (<=.f64 t #s(literal 1780551949697837/50872912848509630386961759877939283730657641008879914553804457182037637617627197811290223700497087789481581959483591006819830334885554237978846405428549423569451580654251209705071092879576217840034217957579701248029256805705844583825408 binary64)) (.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) l) t) (if (<=.f64 t #s(literal 531373909414873/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (+.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 t x)) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))))) (if (<=.f64 t #s(literal 649999999999999999247220724173422091745944409046783589347156796658334918513896720133578031104 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (-.f64 (-.f64 (-.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) #s(literal -1 binary64)) (.f64 l l)) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) x)) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (/.f64 (.f64 l l) x))) x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))
(if (<=.f64 t #s(literal 1780551949697837/50872912848509630386961759877939283730657641008879914553804457182037637617627197811290223700497087789481581959483591006819830334885554237978846405428549423569451580654251209705071092879576217840034217957579701248029256805705844583825408 binary64)) (.f64 t (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) l)) (if (<=.f64 t #s(literal 531373909414873/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 t x)) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (.f64 l l) (.f64 t (.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))))) (if (<=.f64 t #s(literal 649999999999999999247220724173422091745944409046783589347156796658334918513896720133578031104 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (/.f64 (.f64 l l) x)) (+.f64 (/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) x) (+.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))))) x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))
(if (<=.f64 t #s(literal 8119040131286125/176500872419263593559319302637789241459459619490723595292712620678918364397574906244117120062201874810681116593642749786132706054117399434226659568030434131651924755717669757535789504530793970482734834967427158147858432 binary64)) (.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) l) t) (if (<=.f64 t #s(literal 396115096109269/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)) (if (<=.f64 t #s(literal 2599999999999999996988882896693688366983777636187134357388627186633339674055586880534312124416 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (-.f64 (-.f64 (-.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) #s(literal -1 binary64)) (.f64 l l)) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) x)) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (/.f64 (.f64 l l) x))) x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))
(if (<=.f64 t #s(literal 8119040131286125/176500872419263593559319302637789241459459619490723595292712620678918364397574906244117120062201874810681116593642749786132706054117399434226659568030434131651924755717669757535789504530793970482734834967427158147858432 binary64)) (.f64 t (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) l)) (if (<=.f64 t #s(literal 396115096109269/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) (if (<=.f64 t #s(literal 2599999999999999996988882896693688366983777636187134357388627186633339674055586880534312124416 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (/.f64 (.f64 l l) x)) (+.f64 (/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) x) (+.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))))) x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))
(if (<=.f64 t #s(literal 8189640480253831/706003489677054374237277210551156965837838477962894381170850482715673457590299624976468480248807499242724466374570999144530824216469597736906638272121736526607699022870679030143158018123175881930939339869708632591433728 binary64)) (.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) l) t) (if (<=.f64 t #s(literal 3381470332640101/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)) (if (<=.f64 t #s(literal 2200000000000000211222142581478404784809630323582174339211887002180021027814882451984041902080 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t))) x)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))
(if (<=.f64 t #s(literal 8189640480253831/706003489677054374237277210551156965837838477962894381170850482715673457590299624976468480248807499242724466374570999144530824216469597736906638272121736526607699022870679030143158018123175881930939339869708632591433728 binary64)) (.f64 t (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) l)) (if (<=.f64 t #s(literal 3381470332640101/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) (if (<=.f64 t #s(literal 2200000000000000211222142581478404784809630323582174339211887002180021027814882451984041902080 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) x) (+.f64 (/.f64 (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) x) (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (*.f64 l l) x))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))
(if (<=.f64 l #s(literal 560000000000000020878362268038710537696534401236176515689816147690445618979514171917428654468708254669963469141041350975889534038402613858531232463533369377836060472723739662129763710683377041408 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)) (.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) l) t))
(if (<=.f64 l #s(literal 560000000000000020878362268038710537696534401236176515689816147690445618979514171917428654468708254669963469141041350975889534038402613858531232463533369377836060472723739662129763710683377041408 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) (.f64 t (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) l)))
(if (<=.f64 t #s(literal 2400411864901985/1412006979354108748474554421102313931675676955925788762341700965431346915180599249952936960497614998485448932749141998289061648432939195473813276544243473053215398045741358060286316036246351763861878679739417265182867456 binary64)) (.f64 t (sqrt.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 l l))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)))
(if (<=.f64 t #s(literal 2400411864901985/1412006979354108748474554421102313931675676955925788762341700965431346915180599249952936960497614998485448932749141998289061648432939195473813276544243473053215398045741358060286316036246351763861878679739417265182867456 binary64)) (.f64 t (sqrt.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) (.f64 l l))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(if (<=.f64 t #s(literal 3000514831127481/44125218104815898389829825659447310364864904872680898823178155169729591099393726561029280015550468702670279148410687446533176513529349858556664892007608532912981188929417439383947376132698492620683708741856789536964608 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 l l)) x)))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)))
(if (<=.f64 t #s(literal 3000514831127481/44125218104815898389829825659447310364864904872680898823178155169729591099393726561029280015550468702670279148410687446533176513529349858556664892007608532912981188929417439383947376132698492620683708741856789536964608 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 l l)) x)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(if (<=.f64 l #s(literal 12999999999999998996749880389644939293378757625041913254551717772210544168938656755357207362034996438209085589218267539613116279709071803161141861674691956463777068424366826709007020999262010857026859422965775853120192322440748660162560 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 l l) #s(literal -2 binary64))))))
(if (<=.f64 l #s(literal 12999999999999998996749880389644939293378757625041913254551717772210544168938656755357207362034996438209085589218267539613116279709071803161141861674691956463777068424366826709007020999262010857026859422965775853120192322440748660162560 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 l l) #s(literal -2 binary64))))))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
#s(literal 1 binary64)

soundness1.1s (7.4%)

Memory

2.4MiB live, 981.4MiB allocated

Rules

13 380×	`accelerator-lowering-fma.f32`
13 380×	`accelerator-lowering-fma.f64`
10 338×	`accelerator-lowering-fma.f32`
10 338×	`accelerator-lowering-fma.f64`
9 600×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	76
1	103	76
2	915	75
0	8798	72
0	670	10103
1	2312	8916
0	8650	8526
0	40	168
1	265	153
2	2153	151
0	8768	140
0	690	6747
1	2209	5908
2	7476	5896
0	8083	5752
0	1326	21192
1	4414	20326
0	8339	19165
0	44	308
1	247	259
2	2023	238
0	8694	230

Stop Event

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

Compiler

Compiled 1 113 to 615 computations (44.7% saved)

preprocess201.0ms (1.3%)

Memory: 22.4MiB live, 264.5MiB allocated
Compiler: Compiled 1 858 to 676 computations (63.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze361.0ms (2.4%)

sample3.1s (20.7%)

preprocess1.1s (7.4%)

explain532.0ms (3.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify792.0ms (5.3%)

localize120.0ms (0.8%)

series92.0ms (0.6%)

rewrite817.0ms (5.4%)

simplify482.0ms (3.2%)

eval75.0ms (0.5%)

prune76.0ms (0.5%)

simplify368.0ms (2.4%)

localize155.0ms (1%)

series71.0ms (0.5%)

rewrite386.0ms (2.6%)

simplify487.0ms (3.2%)

eval255.0ms (1.7%)

prune201.0ms (1.3%)

simplify229.0ms (1.5%)

localize243.0ms (1.6%)

series58.0ms (0.4%)

rewrite345.0ms (2.3%)

simplify544.0ms (3.6%)

eval112.0ms (0.7%)

prune106.0ms (0.7%)

simplify369.0ms (2.4%)

localize165.0ms (1.1%)

series40.0ms (0.3%)

rewrite397.0ms (2.6%)

simplify396.0ms (2.6%)

eval142.0ms (0.9%)

prune206.0ms (1.4%)

regimes116.0ms (0.8%)

regimes24.0ms (0.2%)

regimes13.0ms (0.1%)

regimes22.0ms (0.1%)

regimes16.0ms (0.1%)

regimes5.0ms (0%)

regimes14.0ms (0.1%)

regimes8.0ms (0.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0%)

bsearch157.0ms (1%)

bsearch111.0ms (0.7%)

bsearch97.0ms (0.6%)

bsearch34.0ms (0.2%)

bsearch85.0ms (0.6%)

bsearch54.0ms (0.4%)

bsearch37.0ms (0.2%)

simplify86.0ms (0.6%)

soundness1.1s (7.4%)

preprocess201.0ms (1.3%)

end0.0ms (0%)

Profiling