Metrics for sqrt((1-a/3e8)/(1+a/3e8))

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50.6%	49.4%	0%	0%	0%	0
100%	50.6%	0%	49.4%	0%	0%	0%	1

Compiler

Compiled 20 to 14 computations (30% saved)

sample1.2s (29.8%)

Memory

65.5MiB live, 552.2MiB allocated

Samples

608.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 426.0ms

ival-div: 156.0ms (36.7% of total)

ival-sub: 73.0ms (17.2% of total)

ival-sqrt: 63.0ms (14.8% of total)

ival-<=: 53.0ms (12.5% of total)

ival-add: 45.0ms (10.6% of total)

exact: 19.0ms (4.5% of total)

ival-and: 12.0ms (2.8% of total)

ival-assert: 4.0ms (0.9% of total)

Bogosity

explain207.0ms (5.4%)

Memory

22.5MiB live, 133.7MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 a #s(literal 300000000 binary64))`
-	-	`(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))))`
-	-	`(-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64)))`
-	-	`a`
-	-	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64)))))`
-	-	`(+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64)))`
-	-	`#s(literal 1 binary64)`
-	-	`#s(literal 300000000 binary64)`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

79.0ms

512×

valid

Compiler

Compiled 94 to 28 computations (70.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 7.0ms (41.5% of total)

ival-sqrt: 4.0ms (23.7% of total)

ival-sub: 2.0ms (11.9% of total)

ival-add: 2.0ms (11.9% of total)

exact: 1.0ms (5.9% of total)

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

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

preprocess458.0ms (11.9%)

Memory

-19.8MiB live, 53.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	25	25
2	49	25
3	117	25
4	306	25
5	742	25
6	1919	25
7	3101	25
8	3466	25
9	3932	25
10	4301	25
11	4465	25
12	5264	17
13	5834	17
14	6039	17
15	6225	17
16	6259	17
17	6259	17
18	6363	17
19	6558	17
20	6889	17
21	7779	17
0	8	12
0	13	12
1	21	12
2	34	12
3	53	12
4	107	12
5	206	12
6	298	12
7	494	12
8	1140	12
9	3280	10
10	5113	8
11	6234	8
12	6848	8
13	6978	8
14	7126	8
15	7178	8
16	7667	8
17	7933	8
18	7933	8
0	8267	8

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64)))))

Outputs

(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64)))))

(sqrt.f64 (/.f64 (-.f64 #s(literal 300000000 binary64) a) (-.f64 a #s(literal -300000000 binary64))))

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64)))))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify243.0ms (6.3%)

Memory

31.4MiB live, 31.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64)))))
cost-diff	1	(+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64)))
cost-diff	1	(-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64)))
cost-diff	2	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	39
0	13	39
1	21	39
2	34	39
3	53	39
4	107	39
5	206	39
6	298	39
7	494	39
8	1140	39
9	3280	35
10	5113	31
11	6234	31
12	6848	31
13	6978	31
14	7126	31
15	7178	31
16	7667	31
17	7933	31
18	7933	31
0	8267	29

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64)))
#s(literal 1 binary64)
(/.f64 a #s(literal 300000000 binary64))
a
#s(literal 300000000 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64)))

Outputs
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 300000000 binary64) a) (-.f64 a #s(literal -300000000 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))))
(/.f64 (-.f64 #s(literal 300000000 binary64) a) (-.f64 a #s(literal -300000000 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64)))
(fma.f64 #s(literal -1/300000000 binary64) a #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 a #s(literal 300000000 binary64))
(*.f64 #s(literal 1/300000000 binary64) a)
a
#s(literal 300000000 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64)))
(fma.f64 #s(literal 1/300000000 binary64) a #s(literal 1 binary64))

localize21.0ms (0.6%)

Memory

8.6MiB live, 8.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64)))
accuracy	0.0	(+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64)))
accuracy	0.01171875	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64)))))
accuracy	0.01953125	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))))

Samples

15.0ms

256×

valid

Compiler

Compiled 41 to 10 computations (75.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 3.0ms (37.1% of total)

ival-sqrt: 2.0ms (24.7% of total)

ival-sub: 1.0ms (12.4% of total)

ival-add: 1.0ms (12.4% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

1.2MiB live, 1.2MiB allocated

Counts

4 → 25

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64)))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64)))))

Outputs
1
(+ 1 (* -1/150000000 a))
(+ 1 (* a (- (* 1/45000000000000000 a) 1/150000000)))
(+ 1 (* a (- (* a (+ 1/45000000000000000 (* -1/13500000000000000000000000 a))) 1/150000000)))
(+ 1 (* -1/300000000 a))
(+ 1 (* 1/300000000 a))
(+ 1 (* a (- (* 1/180000000000000000 a) 1/300000000)))
(+ 1 (* a (- (* a (+ 1/180000000000000000 (* -1/54000000000000000000000000 a))) 1/300000000)))
-1
(- (* 600000000 (/ 1 a)) 1)
(- (* 600000000 (/ 1 a)) (+ 1 (/ 180000000000000000 (pow a 2))))
(- (+ (* 600000000 (/ 1 a)) (* 54000000000000000000000000 (/ 1 (pow a 3)))) (+ 1 (/ 180000000000000000 (pow a 2))))
(* -1/300000000 a)
(* a (- (/ 1 a) 1/300000000))
(* 1/300000000 a)
(* a (+ 1/300000000 (/ 1 a)))
(sqrt -1)
(+ (sqrt -1) (* 300000000 (/ 1 (* a (sqrt -1)))))
(+ (sqrt -1) (+ (* -1/2 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (* (pow a 2) (sqrt -1)))) (/ 300000000 (* a (sqrt -1)))))
(+ (sqrt -1) (+ (* -1/2 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (* (pow a 2) (sqrt -1)))) (+ (* 1/2 (/ (- 54000000000000000000000000 (* -300000000 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow a 3) (sqrt -1)))) (/ 300000000 (* a (sqrt -1))))))
(- (* -1 (/ (- (* 180000000000000000 (/ 1 a)) 600000000) a)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 54000000000000000000000000 (/ 1 a)) 180000000000000000) a)) 600000000) a)) 1)
(* -1 (* a (- 1/300000000 (/ 1 a))))
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (* a (sqrt -1)))) (* 300000000 (/ 1 (sqrt -1)))) a)))
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ (+ 54000000000000000000000000 (* 300000000 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* a (sqrt -1))))) a)) (* 300000000 (/ 1 (sqrt -1)))) a)))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	((/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))) (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)) (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))))
1.0ms	a	@	-inf	((/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))) (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)) (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))))
1.0ms	a	@	0	((/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))) (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)) (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))))

Time

Variable

Point

Expression

1.0ms

inf

((/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))) (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)) (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))))

1.0ms

-inf

((/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))) (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)) (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))))

1.0ms

((/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))) (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)) (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))))

simplify259.0ms (6.7%)

Memory

-113.1MiB live, 46.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	314
1	326	241
2	839	232
3	1790	222
4	5418	221
0	8093	205

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 25

Calls

Call 1

Inputs
1
(+ 1 (* -1/150000000 a))
(+ 1 (* a (- (* 1/45000000000000000 a) 1/150000000)))
(+ 1 (* a (- (* a (+ 1/45000000000000000 (* -1/13500000000000000000000000 a))) 1/150000000)))
(+ 1 (* -1/300000000 a))
(+ 1 (* 1/300000000 a))
(+ 1 (* a (- (* 1/180000000000000000 a) 1/300000000)))
(+ 1 (* a (- (* a (+ 1/180000000000000000 (* -1/54000000000000000000000000 a))) 1/300000000)))
-1
(- (* 600000000 (/ 1 a)) 1)
(- (* 600000000 (/ 1 a)) (+ 1 (/ 180000000000000000 (pow a 2))))
(- (+ (* 600000000 (/ 1 a)) (* 54000000000000000000000000 (/ 1 (pow a 3)))) (+ 1 (/ 180000000000000000 (pow a 2))))
(* -1/300000000 a)
(* a (- (/ 1 a) 1/300000000))
(* 1/300000000 a)
(* a (+ 1/300000000 (/ 1 a)))
(sqrt -1)
(+ (sqrt -1) (* 300000000 (/ 1 (* a (sqrt -1)))))
(+ (sqrt -1) (+ (* -1/2 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (* (pow a 2) (sqrt -1)))) (/ 300000000 (* a (sqrt -1)))))
(+ (sqrt -1) (+ (* -1/2 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (* (pow a 2) (sqrt -1)))) (+ (* 1/2 (/ (- 54000000000000000000000000 (* -300000000 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow a 3) (sqrt -1)))) (/ 300000000 (* a (sqrt -1))))))
(- (* -1 (/ (- (* 180000000000000000 (/ 1 a)) 600000000) a)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 54000000000000000000000000 (/ 1 a)) 180000000000000000) a)) 600000000) a)) 1)
(* -1 (* a (- 1/300000000 (/ 1 a))))
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (* a (sqrt -1)))) (* 300000000 (/ 1 (sqrt -1)))) a)))
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ (+ 54000000000000000000000000 (* 300000000 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* a (sqrt -1))))) a)) (* 300000000 (/ 1 (sqrt -1)))) a)))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/150000000 a))
(fma.f64 #s(literal -1/150000000 binary64) a #s(literal 1 binary64))
(+ 1 (* a (- (* 1/45000000000000000 a) 1/150000000)))
(fma.f64 (fma.f64 #s(literal 1/45000000000000000 binary64) a #s(literal -1/150000000 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (- (* a (+ 1/45000000000000000 (* -1/13500000000000000000000000 a))) 1/150000000)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/13500000000000000000000000 binary64) a #s(literal 1/45000000000000000 binary64)) a #s(literal -1/150000000 binary64)) a #s(literal 1 binary64))
(+ 1 (* -1/300000000 a))
(fma.f64 #s(literal -1/300000000 binary64) a #s(literal 1 binary64))
(+ 1 (* 1/300000000 a))
(fma.f64 #s(literal 1/300000000 binary64) a #s(literal 1 binary64))
(+ 1 (* a (- (* 1/180000000000000000 a) 1/300000000)))
(fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (- (* a (+ 1/180000000000000000 (* -1/54000000000000000000000000 a))) 1/300000000)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* 600000000 (/ 1 a)) 1)
(-.f64 (/.f64 #s(literal 600000000 binary64) a) #s(literal 1 binary64))
(- (* 600000000 (/ 1 a)) (+ 1 (/ 180000000000000000 (pow a 2))))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 180000000000000000 binary64) a) #s(literal 600000000 binary64)) a))
(- (+ (* 600000000 (/ 1 a)) (* 54000000000000000000000000 (/ 1 (pow a 3)))) (+ 1 (/ 180000000000000000 (pow a 2))))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -600000000 binary64) (/.f64 (-.f64 (/.f64 #s(literal 54000000000000000000000000 binary64) a) #s(literal 180000000000000000 binary64)) a)) a))
(* -1/300000000 a)
(*.f64 #s(literal -1/300000000 binary64) a)
(* a (- (/ 1 a) 1/300000000))
(fma.f64 #s(literal -1/300000000 binary64) a #s(literal 1 binary64))
(* 1/300000000 a)
(*.f64 #s(literal 1/300000000 binary64) a)
(* a (+ 1/300000000 (/ 1 a)))
(fma.f64 #s(literal 1/300000000 binary64) a #s(literal 1 binary64))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (* 300000000 (/ 1 (* a (sqrt -1)))))
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -300000000 binary64) (sqrt.f64 #s(literal -1 binary64))) a))
(+ (sqrt -1) (+ (* -1/2 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (* (pow a 2) (sqrt -1)))) (/ 300000000 (* a (sqrt -1)))))
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -300000000 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -45000000000000000 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) a))) a))
(+ (sqrt -1) (+ (* -1/2 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (* (pow a 2) (sqrt -1)))) (+ (* 1/2 (/ (- 54000000000000000000000000 (* -300000000 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow a 3) (sqrt -1)))) (/ 300000000 (* a (sqrt -1))))))
(-.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -13500000000000000000000000 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64))))) (/.f64 (-.f64 (/.f64 #s(literal -300000000 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -45000000000000000 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) a))) a))
(- (* -1 (/ (- (* 180000000000000000 (/ 1 a)) 600000000) a)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 180000000000000000 binary64) a) #s(literal 600000000 binary64)) a))
(- (* -1 (/ (- (* -1 (/ (- (* 54000000000000000000000000 (/ 1 a)) 180000000000000000) a)) 600000000) a)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -600000000 binary64) (/.f64 (-.f64 (/.f64 #s(literal 54000000000000000000000000 binary64) a) #s(literal 180000000000000000 binary64)) a)) a))
(* -1 (* a (- 1/300000000 (/ 1 a))))
(fma.f64 #s(literal -1/300000000 binary64) a #s(literal 1 binary64))
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (* a (sqrt -1)))) (* 300000000 (/ 1 (sqrt -1)))) a)))
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -300000000 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -45000000000000000 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) a))) a))
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ (+ 54000000000000000000000000 (* 300000000 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* a (sqrt -1))))) a)) (* 300000000 (/ 1 (sqrt -1)))) a)))
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 27000000000000000000000000 binary64) a) #s(literal 90000000000000000 binary64))) a) (/.f64 #s(literal 300000000 binary64) (sqrt.f64 #s(literal -1 binary64)))) a))

rewrite156.0ms (4.1%)

Memory

54.3MiB live, 54.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	33
0	13	33
1	58	33
2	440	33
3	7131	33
0	9185	27

Stop Event

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

Counts

4 → 550

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64)))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64)))))

Outputs
(.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/27000000000000000000000000 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/300000000 binary64) a #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 a (fma.f64 #s(literal 1/90000000000000000 binary64) a #s(literal 1/300000000 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 #s(literal 1/90000000000000000 binary64) a #s(literal 1/300000000 binary64)))))
(.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/27000000000000000000000000 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/300000000 binary64) a #s(literal 1 binary64))) (+.f64 (pow.f64 (.f64 a (fma.f64 #s(literal 1/90000000000000000 binary64) a #s(literal 1/300000000 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 a (fma.f64 #s(literal 1/90000000000000000 binary64) a #s(literal 1/300000000 binary64))) (-.f64 (.f64 a (fma.f64 #s(literal 1/90000000000000000 binary64) a #s(literal 1/300000000 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
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(neg.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/300000000 binary64) a #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/300000000 binary64) a #s(literal 1 binary64))))))
(sqrt.f64 (/.f64 (fma.f64 #s(literal 1/300000000 binary64) a #s(literal -1 binary64)) (fma.f64 #s(literal -1/300000000 binary64) a #s(literal -1 binary64))))
(exp.f64 (.f64 (-.f64 (log1p.f64 (.f64 #s(literal -1/300000000 binary64) a)) (log1p.f64 (*.f64 #s(literal 1/300000000 binary64) a))) #s(literal 1/2 binary64)))

eval86.0ms (2.2%)

Memory: -30.4MiB live, 54.9MiB allocated
Compiler: Compiled 15 154 to 1 861 computations (87.7% saved)

prune6.0ms (0.2%)

Memory

20.4MiB live, 20.4MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	566	3	569
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	567	3	570

Accuracy

100.0%

Counts

570 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(sqrt.f64 #s(approx (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))) #s(literal 1 binary64)))
▶	100.0%	#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))
▶	100.0%	#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))

Status

Accuracy

Program

▶

98.8%

(sqrt.f64 #s(approx (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))) #s(literal 1 binary64)))

▶

100.0%

#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))

▶

100.0%

#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))

Compiler

Compiled 57 to 40 computations (29.8% saved)

simplify141.0ms (3.7%)

Memory

-45.1MiB live, 32.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 #s(approx (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64))
cost-diff	0	#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64))
cost-diff	0	#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	112
0	31	112
1	49	112
2	82	112
3	176	112
4	294	112
5	428	112
6	619	112
7	1049	112
8	2349	112
9	5612	112
0	8183	104

Stop Event

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

Calls

Call 1

Inputs
#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64))
#s(literal 1/180000000000000000 binary64)
a
#s(literal -1/300000000 binary64)
#s(literal 1 binary64)
#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64))
(fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64))
#s(literal -1/54000000000000000000000000 binary64)
a
#s(literal 1/180000000000000000 binary64)
#s(literal -1/300000000 binary64)
#s(literal 1 binary64)
(sqrt.f64 #s(approx (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))) #s(literal 1 binary64)))
#s(approx (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64))
#s(literal 1/180000000000000000 binary64)
a
#s(literal -1/300000000 binary64)
#s(literal 1 binary64)
#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64))
(fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64))
#s(literal -1/54000000000000000000000000 binary64)
a
#s(literal 1/180000000000000000 binary64)
#s(literal -1/300000000 binary64)
#s(literal 1 binary64)
(sqrt.f64 #s(approx (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))) #s(literal 1 binary64)))
#s(approx (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))) #s(literal 1 binary64))
#s(literal 1 binary64)

localize57.0ms (1.5%)

Memory

19.0MiB live, 19.0MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(sqrt.f64 #s(approx (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))) #s(literal 1 binary64)))
accuracy	0.8064665577510436	#s(approx (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64))
accuracy	0.0	(fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64))
accuracy	0.0	#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))
accuracy	0.00390625	(fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64))
accuracy	0.0	(fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64))
accuracy	0.00390625	(fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64))
accuracy	0.0260086386044992	#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))

Samples

46.0ms

256×

valid

Compiler

Compiled 100 to 23 computations (77% saved)

Precisions

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

const: 11.0ms (32.2% of total)

ival-mult: 8.0ms (23.4% of total)

ival-add: 7.0ms (20.5% of total)

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

ival-sqrt: 2.0ms (5.8% of total)

ival-sub: 1.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

1.8MiB live, 1.8MiB allocated

Counts

9 → 45

Calls

Call 1

Inputs
#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64))
#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64))
(fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64))
(sqrt.f64 #s(approx (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))) #s(literal 1 binary64)))
#s(approx (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))) #s(literal 1 binary64))

Outputs
1
(+ 1 (* -1/300000000 a))
(+ 1 (* a (- (* 1/180000000000000000 a) 1/300000000)))
(+ 1 (* a (- (* a (+ 1/180000000000000000 (* -1/54000000000000000000000000 a))) 1/300000000)))
-1/300000000
(- (* 1/180000000000000000 a) 1/300000000)
(- (* a (+ 1/180000000000000000 (* -1/54000000000000000000000000 a))) 1/300000000)
1/180000000000000000
(+ 1/180000000000000000 (* -1/54000000000000000000000000 a))
(+ 1 (* -1/150000000 a))
(+ 1 (* a (- (* 1/45000000000000000 a) 1/150000000)))
(+ 1 (* a (- (* a (+ 1/45000000000000000 (* -1/13500000000000000000000000 a))) 1/150000000)))
(sqrt -1)
(+ (sqrt -1) (* 300000000 (/ 1 (* a (sqrt -1)))))
(+ (sqrt -1) (+ (* -1/2 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (* (pow a 2) (sqrt -1)))) (/ 300000000 (* a (sqrt -1)))))
(+ (sqrt -1) (+ (* -1/2 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (* (pow a 2) (sqrt -1)))) (+ (* 1/2 (/ (- 54000000000000000000000000 (* -300000000 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow a 3) (sqrt -1)))) (/ 300000000 (* a (sqrt -1))))))
(* 1/180000000000000000 (pow a 2))
(* (pow a 2) (- 1/180000000000000000 (* 1/300000000 (/ 1 a))))
(* (pow a 2) (- (+ 1/180000000000000000 (/ 1 (pow a 2))) (* 1/300000000 (/ 1 a))))
(* 1/180000000000000000 a)
(* a (- 1/180000000000000000 (* 1/300000000 (/ 1 a))))
(* -1/54000000000000000000000000 (pow a 3))
(* (pow a 3) (- (* 1/180000000000000000 (/ 1 a)) 1/54000000000000000000000000))
(* (pow a 3) (- (* 1/180000000000000000 (/ 1 a)) (+ 1/54000000000000000000000000 (/ 1/300000000 (pow a 2)))))
(* (pow a 3) (- (+ (* 1/180000000000000000 (/ 1 a)) (/ 1 (pow a 3))) (+ 1/54000000000000000000000000 (/ 1/300000000 (pow a 2)))))
(* -1/54000000000000000000000000 (pow a 2))
(* (pow a 2) (- (* 1/180000000000000000 (/ 1 a)) 1/54000000000000000000000000))
(* (pow a 2) (- (* 1/180000000000000000 (/ 1 a)) (+ 1/54000000000000000000000000 (/ 1/300000000 (pow a 2)))))
(* -1/54000000000000000000000000 a)
(* a (- (* 1/180000000000000000 (/ 1 a)) 1/54000000000000000000000000))
-1
(- (* 600000000 (/ 1 a)) 1)
(- (* 600000000 (/ 1 a)) (+ 1 (/ 180000000000000000 (pow a 2))))
(- (+ (* 600000000 (/ 1 a)) (* 54000000000000000000000000 (/ 1 (pow a 3)))) (+ 1 (/ 180000000000000000 (pow a 2))))
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (* a (sqrt -1)))) (* 300000000 (/ 1 (sqrt -1)))) a)))
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ (+ 54000000000000000000000000 (* 300000000 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* a (sqrt -1))))) a)) (* 300000000 (/ 1 (sqrt -1)))) a)))
(* (pow a 2) (+ 1/180000000000000000 (* -1 (/ (- 1/300000000 (/ 1 a)) a))))
(* -1 (* a (- (* 1/300000000 (/ 1 a)) 1/180000000000000000)))
(* -1 (* (pow a 3) (- 1/54000000000000000000000000 (* 1/180000000000000000 (/ 1 a)))))
(* -1 (* (pow a 3) (+ 1/54000000000000000000000000 (* -1 (/ (- 1/180000000000000000 (* 1/300000000 (/ 1 a))) a)))))
(* -1 (* (pow a 3) (+ 1/54000000000000000000000000 (* -1 (/ (+ 1/180000000000000000 (* -1 (/ (- 1/300000000 (/ 1 a)) a))) a)))))
(* (pow a 2) (- (* -1 (/ (- (* 1/300000000 (/ 1 a)) 1/180000000000000000) a)) 1/54000000000000000000000000))
(* -1 (* a (- 1/54000000000000000000000000 (* 1/180000000000000000 (/ 1 a)))))
(- (* -1 (/ (- (* 180000000000000000 (/ 1 a)) 600000000) a)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 54000000000000000000000000 (/ 1 a)) 180000000000000000) a)) 600000000) a)) 1)

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	a	@	inf	((sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (+ (* (+ (* 1/180000000000000000 a) -1/300000000) a) 1) (+ (* 1/180000000000000000 a) -1/300000000) (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (+ (* (+ (* (+ (* -1/54000000000000000000000000 a) 1/180000000000000000) a) -1/300000000) a) 1) (+ (* (+ (* -1/54000000000000000000000000 a) 1/180000000000000000) a) -1/300000000) (+ (* -1/54000000000000000000000000 a) 1/180000000000000000) (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))))
1.0ms	a	@	-inf	((sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (+ (* (+ (* 1/180000000000000000 a) -1/300000000) a) 1) (+ (* 1/180000000000000000 a) -1/300000000) (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (+ (* (+ (* (+ (* -1/54000000000000000000000000 a) 1/180000000000000000) a) -1/300000000) a) 1) (+ (* (+ (* -1/54000000000000000000000000 a) 1/180000000000000000) a) -1/300000000) (+ (* -1/54000000000000000000000000 a) 1/180000000000000000) (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))))
1.0ms	a	@	0	((sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (+ (* (+ (* 1/180000000000000000 a) -1/300000000) a) 1) (+ (* 1/180000000000000000 a) -1/300000000) (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (+ (* (+ (* (+ (* -1/54000000000000000000000000 a) 1/180000000000000000) a) -1/300000000) a) 1) (+ (* (+ (* -1/54000000000000000000000000 a) 1/180000000000000000) a) -1/300000000) (+ (* -1/54000000000000000000000000 a) 1/180000000000000000) (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))))

Time

Variable

Point

Expression

2.0ms

inf

((sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (+ (* (+ (* 1/180000000000000000 a) -1/300000000) a) 1) (+ (* 1/180000000000000000 a) -1/300000000) (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (+ (* (+ (* (+ (* -1/54000000000000000000000000 a) 1/180000000000000000) a) -1/300000000) a) 1) (+ (* (+ (* -1/54000000000000000000000000 a) 1/180000000000000000) a) -1/300000000) (+ (* -1/54000000000000000000000000 a) 1/180000000000000000) (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))))

1.0ms

-inf

((sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (+ (* (+ (* 1/180000000000000000 a) -1/300000000) a) 1) (+ (* 1/180000000000000000 a) -1/300000000) (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (+ (* (+ (* (+ (* -1/54000000000000000000000000 a) 1/180000000000000000) a) -1/300000000) a) 1) (+ (* (+ (* -1/54000000000000000000000000 a) 1/180000000000000000) a) -1/300000000) (+ (* -1/54000000000000000000000000 a) 1/180000000000000000) (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))))

1.0ms

((sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (+ (* (+ (* 1/180000000000000000 a) -1/300000000) a) 1) (+ (* 1/180000000000000000 a) -1/300000000) (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (+ (* (+ (* (+ (* -1/54000000000000000000000000 a) 1/180000000000000000) a) -1/300000000) a) 1) (+ (* (+ (* -1/54000000000000000000000000 a) 1/180000000000000000) a) -1/300000000) (+ (* -1/54000000000000000000000000 a) 1/180000000000000000) (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))))

simplify141.0ms (3.7%)

Memory

40.2MiB live, 40.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	478
1	466	401
2	1421	392
3	3752	374
0	8551	332

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 45

Calls

Call 1

Inputs
1
(+ 1 (* -1/300000000 a))
(+ 1 (* a (- (* 1/180000000000000000 a) 1/300000000)))
(+ 1 (* a (- (* a (+ 1/180000000000000000 (* -1/54000000000000000000000000 a))) 1/300000000)))
-1/300000000
(- (* 1/180000000000000000 a) 1/300000000)
(- (* a (+ 1/180000000000000000 (* -1/54000000000000000000000000 a))) 1/300000000)
1/180000000000000000
(+ 1/180000000000000000 (* -1/54000000000000000000000000 a))
(+ 1 (* -1/150000000 a))
(+ 1 (* a (- (* 1/45000000000000000 a) 1/150000000)))
(+ 1 (* a (- (* a (+ 1/45000000000000000 (* -1/13500000000000000000000000 a))) 1/150000000)))
(sqrt -1)
(+ (sqrt -1) (* 300000000 (/ 1 (* a (sqrt -1)))))
(+ (sqrt -1) (+ (* -1/2 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (* (pow a 2) (sqrt -1)))) (/ 300000000 (* a (sqrt -1)))))
(+ (sqrt -1) (+ (* -1/2 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (* (pow a 2) (sqrt -1)))) (+ (* 1/2 (/ (- 54000000000000000000000000 (* -300000000 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow a 3) (sqrt -1)))) (/ 300000000 (* a (sqrt -1))))))
(* 1/180000000000000000 (pow a 2))
(* (pow a 2) (- 1/180000000000000000 (* 1/300000000 (/ 1 a))))
(* (pow a 2) (- (+ 1/180000000000000000 (/ 1 (pow a 2))) (* 1/300000000 (/ 1 a))))
(* 1/180000000000000000 a)
(* a (- 1/180000000000000000 (* 1/300000000 (/ 1 a))))
(* -1/54000000000000000000000000 (pow a 3))
(* (pow a 3) (- (* 1/180000000000000000 (/ 1 a)) 1/54000000000000000000000000))
(* (pow a 3) (- (* 1/180000000000000000 (/ 1 a)) (+ 1/54000000000000000000000000 (/ 1/300000000 (pow a 2)))))
(* (pow a 3) (- (+ (* 1/180000000000000000 (/ 1 a)) (/ 1 (pow a 3))) (+ 1/54000000000000000000000000 (/ 1/300000000 (pow a 2)))))
(* -1/54000000000000000000000000 (pow a 2))
(* (pow a 2) (- (* 1/180000000000000000 (/ 1 a)) 1/54000000000000000000000000))
(* (pow a 2) (- (* 1/180000000000000000 (/ 1 a)) (+ 1/54000000000000000000000000 (/ 1/300000000 (pow a 2)))))
(* -1/54000000000000000000000000 a)
(* a (- (* 1/180000000000000000 (/ 1 a)) 1/54000000000000000000000000))
-1
(- (* 600000000 (/ 1 a)) 1)
(- (* 600000000 (/ 1 a)) (+ 1 (/ 180000000000000000 (pow a 2))))
(- (+ (* 600000000 (/ 1 a)) (* 54000000000000000000000000 (/ 1 (pow a 3)))) (+ 1 (/ 180000000000000000 (pow a 2))))
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (* a (sqrt -1)))) (* 300000000 (/ 1 (sqrt -1)))) a)))
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ (+ 54000000000000000000000000 (* 300000000 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* a (sqrt -1))))) a)) (* 300000000 (/ 1 (sqrt -1)))) a)))
(* (pow a 2) (+ 1/180000000000000000 (* -1 (/ (- 1/300000000 (/ 1 a)) a))))
(* -1 (* a (- (* 1/300000000 (/ 1 a)) 1/180000000000000000)))
(* -1 (* (pow a 3) (- 1/54000000000000000000000000 (* 1/180000000000000000 (/ 1 a)))))
(* -1 (* (pow a 3) (+ 1/54000000000000000000000000 (* -1 (/ (- 1/180000000000000000 (* 1/300000000 (/ 1 a))) a)))))
(* -1 (* (pow a 3) (+ 1/54000000000000000000000000 (* -1 (/ (+ 1/180000000000000000 (* -1 (/ (- 1/300000000 (/ 1 a)) a))) a)))))
(* (pow a 2) (- (* -1 (/ (- (* 1/300000000 (/ 1 a)) 1/180000000000000000) a)) 1/54000000000000000000000000))
(* -1 (* a (- 1/54000000000000000000000000 (* 1/180000000000000000 (/ 1 a)))))
(- (* -1 (/ (- (* 180000000000000000 (/ 1 a)) 600000000) a)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 54000000000000000000000000 (/ 1 a)) 180000000000000000) a)) 600000000) a)) 1)

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/300000000 a))
(fma.f64 #s(literal -1/300000000 binary64) a #s(literal 1 binary64))
(+ 1 (* a (- (* 1/180000000000000000 a) 1/300000000)))
(fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (- (* a (+ 1/180000000000000000 (* -1/54000000000000000000000000 a))) 1/300000000)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64))
-1/300000000
#s(literal -1/300000000 binary64)
(- (* 1/180000000000000000 a) 1/300000000)
(fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64))
(- (* a (+ 1/180000000000000000 (* -1/54000000000000000000000000 a))) 1/300000000)
(fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64))
1/180000000000000000
#s(literal 1/180000000000000000 binary64)
(+ 1/180000000000000000 (* -1/54000000000000000000000000 a))
(fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64))
(+ 1 (* -1/150000000 a))
(fma.f64 #s(literal -1/150000000 binary64) a #s(literal 1 binary64))
(+ 1 (* a (- (* 1/45000000000000000 a) 1/150000000)))
(fma.f64 (fma.f64 #s(literal 1/45000000000000000 binary64) a #s(literal -1/150000000 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (- (* a (+ 1/45000000000000000 (* -1/13500000000000000000000000 a))) 1/150000000)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/13500000000000000000000000 binary64) a #s(literal 1/45000000000000000 binary64)) a #s(literal -1/150000000 binary64)) a #s(literal 1 binary64))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (* 300000000 (/ 1 (* a (sqrt -1)))))
(+.f64 (/.f64 #s(literal 300000000 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (sqrt -1) (+ (* -1/2 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (* (pow a 2) (sqrt -1)))) (/ 300000000 (* a (sqrt -1)))))
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 45000000000000000 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) a)) (/.f64 #s(literal 300000000 binary64) (sqrt.f64 #s(literal -1 binary64)))) a))
(+ (sqrt -1) (+ (* -1/2 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (* (pow a 2) (sqrt -1)))) (+ (* 1/2 (/ (- 54000000000000000000000000 (* -300000000 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow a 3) (sqrt -1)))) (/ 300000000 (* a (sqrt -1))))))
(+.f64 (+.f64 (/.f64 (/.f64 #s(literal 13500000000000000000000000 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 a #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -45000000000000000 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) a)) (/.f64 #s(literal -300000000 binary64) (sqrt.f64 #s(literal -1 binary64)))) a))
(* 1/180000000000000000 (pow a 2))
(.f64 (.f64 a a) #s(literal 1/180000000000000000 binary64))
(* (pow a 2) (- 1/180000000000000000 (* 1/300000000 (/ 1 a))))
(*.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a)
(* (pow a 2) (- (+ 1/180000000000000000 (/ 1 (pow a 2))) (* 1/300000000 (/ 1 a))))
(fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64))
(* 1/180000000000000000 a)
(*.f64 #s(literal 1/180000000000000000 binary64) a)
(* a (- 1/180000000000000000 (* 1/300000000 (/ 1 a))))
(fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64))
(* -1/54000000000000000000000000 (pow a 3))
(*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/54000000000000000000000000 binary64))
(* (pow a 3) (- (* 1/180000000000000000 (/ 1 a)) 1/54000000000000000000000000))
(.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) (.f64 a a))
(* (pow a 3) (- (* 1/180000000000000000 (/ 1 a)) (+ 1/54000000000000000000000000 (/ 1/300000000 (pow a 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64)) a)
(* (pow a 3) (- (+ (* 1/180000000000000000 (/ 1 a)) (/ 1 (pow a 3))) (+ 1/54000000000000000000000000 (/ 1/300000000 (pow a 2)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64))
(* -1/54000000000000000000000000 (pow a 2))
(.f64 (.f64 a a) #s(literal -1/54000000000000000000000000 binary64))
(* (pow a 2) (- (* 1/180000000000000000 (/ 1 a)) 1/54000000000000000000000000))
(*.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a)
(* (pow a 2) (- (* 1/180000000000000000 (/ 1 a)) (+ 1/54000000000000000000000000 (/ 1/300000000 (pow a 2)))))
(fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64))
(* -1/54000000000000000000000000 a)
(*.f64 #s(literal -1/54000000000000000000000000 binary64) a)
(* a (- (* 1/180000000000000000 (/ 1 a)) 1/54000000000000000000000000))
(fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64))
-1
#s(literal -1 binary64)
(- (* 600000000 (/ 1 a)) 1)
(-.f64 (/.f64 #s(literal 600000000 binary64) a) #s(literal 1 binary64))
(- (* 600000000 (/ 1 a)) (+ 1 (/ 180000000000000000 (pow a 2))))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 180000000000000000 binary64) a) #s(literal 600000000 binary64)) a))
(- (+ (* 600000000 (/ 1 a)) (* 54000000000000000000000000 (/ 1 (pow a 3)))) (+ 1 (/ 180000000000000000 (pow a 2))))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -600000000 binary64) (/.f64 (-.f64 (/.f64 #s(literal 54000000000000000000000000 binary64) a) #s(literal 180000000000000000 binary64)) a)) a))
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (* a (sqrt -1)))) (* 300000000 (/ 1 (sqrt -1)))) a)))
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 45000000000000000 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) a)) (/.f64 #s(literal 300000000 binary64) (sqrt.f64 #s(literal -1 binary64)))) a))
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ (+ 54000000000000000000000000 (* 300000000 (/ (+ 180000000000000000 (* 90000000000000000 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* a (sqrt -1))))) a)) (* 300000000 (/ 1 (sqrt -1)))) a)))
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -300000000 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 13500000000000000000000000 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) a)) (/.f64 #s(literal -45000000000000000 binary64) (sqrt.f64 #s(literal -1 binary64)))) a)) a))
(* (pow a 2) (+ 1/180000000000000000 (* -1 (/ (- 1/300000000 (/ 1 a)) a))))
(fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64))
(* -1 (* a (- (* 1/300000000 (/ 1 a)) 1/180000000000000000)))
(fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64))
(* -1 (* (pow a 3) (- 1/54000000000000000000000000 (* 1/180000000000000000 (/ 1 a)))))
(.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) (.f64 a a))
(* -1 (* (pow a 3) (+ 1/54000000000000000000000000 (* -1 (/ (- 1/180000000000000000 (* 1/300000000 (/ 1 a))) a)))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64)) a)
(* -1 (* (pow a 3) (+ 1/54000000000000000000000000 (* -1 (/ (+ 1/180000000000000000 (* -1 (/ (- 1/300000000 (/ 1 a)) a))) a)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64))
(* (pow a 2) (- (* -1 (/ (- (* 1/300000000 (/ 1 a)) 1/180000000000000000) a)) 1/54000000000000000000000000))
(fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64))
(* -1 (* a (- 1/54000000000000000000000000 (* 1/180000000000000000 (/ 1 a)))))
(fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64))
(- (* -1 (/ (- (* 180000000000000000 (/ 1 a)) 600000000) a)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 180000000000000000 binary64) a) #s(literal 600000000 binary64)) a))
(- (* -1 (/ (- (* -1 (/ (- (* 54000000000000000000000000 (/ 1 a)) 180000000000000000) a)) 600000000) a)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -600000000 binary64) (/.f64 (-.f64 (/.f64 #s(literal 54000000000000000000000000 binary64) a) #s(literal 180000000000000000 binary64)) a)) a))

rewrite162.0ms (4.2%)

Memory

-32.5MiB live, 45.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	102
0	31	102
1	145	102
2	1132	102
0	8635	94

Stop Event

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

Counts

9 → 201

Calls

Call 1

Inputs
#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64))
#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64))
(fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64))
(sqrt.f64 #s(approx (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))) #s(literal 1 binary64)))
#s(approx (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))) #s(literal 1 binary64))

Outputs
#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal -1 binary64)))))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a)))))
(.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a)))))
(.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal -1 binary64)))) (.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal -1 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64)))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)))))
(/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2916000000000000000000000000000000000000000000000000 binary64) #s(literal -1/32400000000000000000000000000000000 binary64)) (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal -1/180000000000000000 binary64)))
(/.f64 (fma.f64 #s(literal -1/157464000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 1/5832000000000000000000000000000000000000000000000000 binary64)) (+.f64 #s(literal 1/32400000000000000000000000000000000 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/54000000000000000000000000 binary64) a) #s(literal 2 binary64)) (.f64 a #s(literal -1/9720000000000000000000000000000000000000000 binary64)))))
(/.f64 (fma.f64 #s(literal -1/157464000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 1/5832000000000000000000000000000000000000000000000000 binary64)) (fma.f64 (.f64 a a) #s(literal 1/2916000000000000000000000000000000000000000000000000 binary64) (-.f64 #s(literal 1/32400000000000000000000000000000000 binary64) (.f64 a #s(literal -1/9720000000000000000000000000000000000000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/180000000000000000 binary64) (.f64 #s(literal -1/54000000000000000000000000 binary64) a)) (-.f64 #s(literal 1/32400000000000000000000000000000000 binary64) (pow.f64 (.f64 #s(literal -1/54000000000000000000000000 binary64) a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/32400000000000000000000000000000000 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/54000000000000000000000000 binary64) a) #s(literal 2 binary64)) (.f64 a #s(literal -1/9720000000000000000000000000000000000000000 binary64)))) (fma.f64 #s(literal -1/157464000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 1/5832000000000000000000000000000000000000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64))))
(fma.f64 (pow.f64 (*.f64 #s(literal -1/54000000000000000000000000 binary64) a) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal -1/180000000000000000 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/32400000000000000000000000000000000 binary64) (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal -1/180000000000000000 binary64)))))
(fma.f64 (*.f64 #s(literal 1/180000000000000000 binary64) a) #s(literal -1/300000000 binary64) #s(literal 1/180000000000000000 binary64))
(fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64))
(fma.f64 #s(literal -1/300000000 binary64) (*.f64 #s(literal 1/180000000000000000 binary64) a) #s(literal 1/180000000000000000 binary64))
(fma.f64 #s(literal 1/180000000000000000 binary64) (*.f64 a #s(literal -1/300000000 binary64)) #s(literal 1/180000000000000000 binary64))
(fma.f64 a #s(literal -1/54000000000000000000000000 binary64) #s(literal 1/180000000000000000 binary64))
(-.f64 (/.f64 #s(literal 1/32400000000000000000000000000000000 binary64) (-.f64 #s(literal 1/180000000000000000 binary64) (.f64 #s(literal -1/54000000000000000000000000 binary64) a))) (/.f64 (pow.f64 (.f64 #s(literal -1/54000000000000000000000000 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1/180000000000000000 binary64) (*.f64 #s(literal -1/54000000000000000000000000 binary64) a))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/54000000000000000000000000 binary64) a) #s(literal 2 binary64)) (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal -1/180000000000000000 binary64))) (/.f64 #s(literal 1/32400000000000000000000000000000000 binary64) (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal -1/180000000000000000 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/54000000000000000000000000 binary64) a) #s(literal 2 binary64)) (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal -1/180000000000000000 binary64))) (neg.f64 (/.f64 #s(literal 1/32400000000000000000000000000000000 binary64) (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal -1/180000000000000000 binary64)))))
(+.f64 (*.f64 #s(literal -1/54000000000000000000000000 binary64) a) #s(literal 1/180000000000000000 binary64))
(+.f64 #s(literal 1/180000000000000000 binary64) (*.f64 #s(literal -1/54000000000000000000000000 binary64) a))
(*.f64 (pow.f64 #s(approx (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(approx (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))) #s(literal 1 binary64)) #s(approx (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(approx (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))) #s(literal 1 binary64))

eval31.0ms (0.8%)

Memory: 22.3MiB live, 22.3MiB allocated
Compiler: Compiled 8 362 to 977 computations (88.3% saved)

prune6.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	229	2	231
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	230	4	234

Accuracy

100.0%

Counts

234 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))
✓	100.0%	#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))
	99.8%	#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 #s(approx (+ (* 1/180000000000000000 a) -1/300000000) #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))
	98.8%	#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) #s(literal 1 binary64))

Compiler

Compiled 186 to 92 computations (50.5% saved)

regimes88.0ms (2.3%)

Memory

-121.0MiB live, 6.5MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) #s(literal 1 binary64))
#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 #s(approx (+ (* 1/180000000000000000 a) -1/300000000) #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))
(sqrt.f64 #s(approx (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))) #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64)))))

Outputs

#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))

Calls

4 calls:

83.0ms	a
2.0ms	(/.f64 a #s(literal 300000000 binary64))
2.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64)))))
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))))

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64)))))`
100.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))))`
100.0%	1	`(/.f64 a #s(literal 300000000 binary64))`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes6.0ms (0.2%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) #s(literal 1 binary64))
#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 #s(approx (+ (* 1/180000000000000000 a) -1/300000000) #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))
(sqrt.f64 #s(approx (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))) #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))

Outputs
#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))

Calls

4 calls:

2.0ms	(/.f64 a #s(literal 300000000 binary64))
1.0ms	a
1.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64)))))
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))))

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64)))))`
100.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))))`
100.0%	1	`(/.f64 a #s(literal 300000000 binary64))`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes5.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) #s(literal 1 binary64))

#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 #s(approx (+ (* 1/180000000000000000 a) -1/300000000) #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))

(sqrt.f64 #s(approx (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000))) #s(literal 1 binary64)))

Outputs
#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 #s(approx (+ (* 1/180000000000000000 a) -1/300000000) #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))

Calls

4 calls:

1.0ms	(/.f64 a #s(literal 300000000 binary64))
1.0ms	a
1.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64)))))
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))))

Results

Accuracy	Segments	Branch
99.8%	1	`a`
99.8%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64)))))`
99.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))))`
99.8%	1	`(/.f64 a #s(literal 300000000 binary64))`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes4.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) #s(literal 1 binary64))

Outputs
#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) #s(literal 1 binary64))

Calls

4 calls:

1.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64)))))
1.0ms	(/.f64 a #s(literal 300000000 binary64))
1.0ms	a
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))))

Results

Accuracy	Segments	Branch
98.8%	1	`a`
98.8%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64)))))`
98.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 a #s(literal 300000000 binary64))))`
98.8%	1	`(/.f64 a #s(literal 300000000 binary64))`

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify66.0ms (1.7%)

Memory

15.0MiB live, 15.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	80
1	34	80
2	46	80
3	68	80
4	132	80
5	259	80
6	489	80
7	1604	80
8	3688	80

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 #s(approx (+ (* 1/180000000000000000 a) -1/300000000) #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) #s(literal 1 binary64))

Outputs
#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/54000000000000000000000000 binary64) a #s(literal 1/180000000000000000 binary64)) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 (fma.f64 #s(literal 1/180000000000000000 binary64) a #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) (fma.f64 #s(approx (+ (* 1/180000000000000000 a) -1/300000000) #s(literal -1/300000000 binary64)) a #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 (/ a 300000000)) (+ 1 (/ a 300000000)))) #s(literal 1 binary64))

soundness527.0ms (13.7%)

Memory

7.7MiB live, 7.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	478
1	466	401
2	1421	392
3	3752	374
0	8551	332
0	124	314
1	326	241
2	839	232
3	1790	222
4	5418	221
0	8093	205

Stop Event

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

Compiler

Compiled 129 to 67 computations (48.1% saved)

preprocess24.0ms (0.6%)

Memory: 16.1MiB live, 16.1MiB allocated
Compiler: Compiled 184 to 70 computations (62% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (29.8%)

explain207.0ms (5.4%)

preprocess458.0ms (11.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify243.0ms (6.3%)

localize21.0ms (0.6%)

series3.0ms (0.1%)

simplify259.0ms (6.7%)

rewrite156.0ms (4.1%)

eval86.0ms (2.2%)

prune6.0ms (0.2%)

simplify141.0ms (3.7%)

localize57.0ms (1.5%)

series5.0ms (0.1%)

simplify141.0ms (3.7%)

rewrite162.0ms (4.2%)

eval31.0ms (0.8%)

prune6.0ms (0.1%)

regimes88.0ms (2.3%)

regimes6.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

simplify66.0ms (1.7%)

soundness527.0ms (13.7%)

preprocess24.0ms (0.6%)

end0.0ms (0%)

Profiling