Metrics for Data.Approximate.Numerics:blog from approximate-0.2.2.1

analyze2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
66.7%	50%	25%	0%	0%	25%	0%	3
80%	50%	12.5%	0%	0%	37.5%	0%	4
88.9%	50%	6.2%	0%	0%	43.7%	0%	5
94.1%	50%	3.1%	0%	0%	46.9%	0%	6
97%	50%	1.6%	0%	0%	48.4%	0%	7
98.5%	50%	0.8%	0%	0%	49.2%	0%	8
99.2%	50%	0.4%	0%	0%	49.6%	0%	9
99.6%	50%	0.2%	0%	0%	49.8%	0%	10
99.8%	50%	0.1%	0%	0%	49.9%	0%	11
99.9%	50%	0%	0%	0%	49.9%	0%	12

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample992.0ms (8.8%)

Memory

22.1MiB live, 1 592.7MiB allocated

Samples

671.0ms	8 256×	0	valid
0.0ms	5×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 490.0ms

ival-mult: 175.0ms (35.7% of total)

ival-sqrt: 93.0ms (19% of total)

ival-add: 90.0ms (18.4% of total)

ival-sub: 63.0ms (12.9% of total)

ival-div: 48.0ms (9.8% of total)

exact: 11.0ms (2.2% of total)

ival-true: 6.0ms (1.2% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

preprocess144.0ms (1.3%)

Memory

-5.0MiB live, 111.4MiB allocated

Algorithm

1×	egg-herbie

Rules

832×	`lower-fma.f64`
832×	`lower-fma.f32`
448×	`lower-*.f32`
444×	`lower-*.f64`
250×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	34	32
2	94	30
3	290	30
4	691	30
5	1345	30
6	1616	30
7	1643	30
8	1645	30
0	11	14
0	18	14
1	31	14
2	52	14
3	59	14
4	79	14
5	115	14
6	184	14
7	294	14
8	527	14
9	801	14
10	1345	14
11	1599	14
12	1626	14
0	1626	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))

Outputs

(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))

(/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))

explain184.0ms (1.6%)

Memory

-31.1MiB live, 238.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 x #s(literal 1 binary64))`
-	-	`(sqrt.f64 x)`
-	-	`(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))`
-	-	`#s(literal 1 binary64)`
-	-	`(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))`
-	-	`#s(literal 4 binary64)`
-	-	`#s(literal 6 binary64)`
-	-	`(-.f64 x #s(literal 1 binary64))`
-	-	`(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))`
-	-	`x`
-	-	`(*.f64 #s(literal 4 binary64) (sqrt.f64 x))`

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

45.0ms	472×	0	valid
28.0ms	20×	1	valid
4.0ms	20×	2	valid

Compiler

Compiled 120 to 48 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-div: 14.0ms (38.9% of total)

ival-mult: 7.0ms (19.4% of total)

ival-add: 6.0ms (16.7% of total)

ival-sqrt: 4.0ms (11.1% of total)

ival-sub: 3.0ms (8.3% of total)

adjust: 1.0ms (2.8% of total)

exact: 1.0ms (2.8% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify128.0ms (1.1%)

Memory

5.9MiB live, 83.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓	cost-diff	128	(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓	cost-diff	128	(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))

Rules

832×	`lower-fma.f64`
832×	`lower-fma.f32`
448×	`lower-*.f32`
444×	`lower-*.f64`
250×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	43
0	18	43
1	31	43
2	52	43
3	59	43
4	79	43
5	115	43
6	184	43
7	294	43
8	527	43
9	801	43
10	1345	43
11	1599	43
12	1626	43
0	1626	39

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
#s(literal 6 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(+.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
#s(literal 4 binary64)
(sqrt.f64 x)

Outputs
(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
#s(literal 6 binary64)
(-.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))
x
#s(literal 1 binary64)
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
#s(literal 4 binary64)
(sqrt.f64 x)

localize46.0ms (0.4%)

Memory

18.4MiB live, 60.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓	accuracy	99.9%	(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
✓	accuracy	99.8%	(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))

Samples

28.0ms	236×	0	valid
4.0ms	10×	1	valid
2.0ms	10×	2	valid

Compiler

Compiled 45 to 13 computations (71.1% saved)

Precisions

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

ival-sqrt: 13.0ms (49.9% of total)

ival-sub: 4.0ms (15.4% of total)

ival-mult: 3.0ms (11.5% of total)

ival-div: 2.0ms (7.7% of total)

ival-add: 2.0ms (7.7% of total)

adjust: 1.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#s(alt (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())

Outputs
#s(alt -6 (taylor 0 x) (#s(alt (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 6 x) 6) (taylor 0 x) (#s(alt (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 6 x) 6) (taylor 0 x) (#s(alt (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 6 x) 6) (taylor 0 x) (#s(alt (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor inf x) (#s(alt (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 6 (* 6 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 6 (* 6 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 6 (* 6 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor -inf x) (#s(alt (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 6 (/ 1 x)) 6))) (taylor -inf x) (#s(alt (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 6 (/ 1 x)) 6))) (taylor -inf x) (#s(alt (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 6 (/ 1 x)) 6))) (taylor -inf x) (#s(alt (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (sqrt x))) (taylor 0 x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 4 (sqrt (/ 1 x))))) (taylor inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) (taylor inf x) (#s(alt (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (taylor inf x) (#s(alt (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) (taylor inf x) (#s(alt (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))) (taylor inf x) (#s(alt (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (patch (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))
1.0ms	x	@	inf	(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))
1.0ms	x	@	-inf	(+ (+ x 1) (* 4 (sqrt x)))
1.0ms	x	@	0	(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))
0.0ms	x	@	inf	(* 6 (- x 1))

rewrite629.0ms (5.6%)

Memory

-4.9MiB live, 512.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 996×	`lower-fma.f64`
6 996×	`lower-fma.f32`
5 704×	`lower-*.f32`
5 700×	`lower-*.f64`
4 836×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
0	18	32
1	69	32
2	526	32
0	8441	28

Stop Event

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

Counts

5 → 534

Calls

Call 1

Inputs
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(-.f64 x #s(literal 1 binary64))
(sqrt.f64 x)

Outputs
(+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) x))
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64)))
(+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))
(+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))
(fma.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 1 binary64) #s(literal -6 binary64))
(neg.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)))
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)) #s(literal -6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal -6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64))))
(/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)) #s(literal -6 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)) #s(literal -6 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal -6 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) #s(literal 6 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) #s(literal 6 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(/.f64 (.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64))) #s(literal 6 binary64)) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 6 binary64) (.f64 x (*.f64 x x)) #s(literal -6 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 6 binary64) (.f64 x x) #s(literal -6 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)) #s(literal -6 binary64))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal -6 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) #s(literal 6 binary64))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 6 binary64) x) #s(literal 3 binary64)) #s(literal -216 binary64)) (fma.f64 (.f64 #s(literal 6 binary64) x) (.f64 #s(literal 6 binary64) x) (-.f64 #s(literal 36 binary64) (.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal -216 binary64)) (fma.f64 (.f64 x #s(literal 6 binary64)) (.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 36 binary64) (.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 6 binary64) x) (.f64 #s(literal 6 binary64) x)) #s(literal 36 binary64)) (-.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 6 binary64)) (.f64 x #s(literal 6 binary64))) #s(literal 36 binary64)) (-.f64 (.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)))
(/.f64 (*.f64 #s(literal 6 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(/.f64 (.f64 #s(literal 6 binary64) (neg.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 (fma.f64 #s(literal 6 binary64) (.f64 x x) #s(literal -6 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal -6 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (/.f64 (fma.f64 #s(literal 6 binary64) (.f64 x x) #s(literal -6 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal -6 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64)))
(.f64 #s(literal 6 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64))
(*.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) #s(literal 6 binary64)))
(*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)))
(.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 6 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -6 binary64))
(*.f64 #s(literal -6 binary64) (-.f64 #s(literal 1 binary64) x))
(.f64 (fma.f64 #s(literal 6 binary64) (.f64 x (*.f64 x x)) #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(.f64 (fma.f64 #s(literal 6 binary64) (.f64 x x) #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal 6 binary64)))
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(.f64 (/.f64 #s(literal 6 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(.f64 (.f64 #s(literal 6 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
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simplify957.0ms (8.5%)

Memory

-3.8MiB live, 670.2MiB allocated

Algorithm

1×	egg-herbie

Rules

19 378×	`lower-fma.f64`
19 378×	`lower-fma.f32`
4 238×	`lower-*.f64`
4 238×	`lower-*.f32`
3 520×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	940
1	372	865
2	1055	829
3	3184	747
0	8584	670

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 58

Calls

Call 1

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

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

eval165.0ms (1.5%)

Memory: 6.9MiB live, 158.6MiB allocated
Compiler: Compiled 17 649 to 1 738 computations (90.2% saved)

prune133.0ms (1.2%)

Memory

-0.6MiB live, 197.4MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	583	9	592
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	584	9	593

Accuracy

100.0%

Counts

593 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
▶	99.6%	(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))))
	76.7%	(/.f64 (.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal -16 binary64))))
▶	47.4%	(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
▶	44.2%	(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))))
	44.4%	(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
▶	99.9%	(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
▶	99.8%	(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))

Compiler

Compiled 256 to 186 computations (27.3% saved)

simplify349.0ms (3.1%)

Memory

-14.0MiB live, 313.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
✓	cost-diff	0	(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
✓	cost-diff	1216	(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))))
✓	cost-diff	0	(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
✓	cost-diff	0	(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
✓	cost-diff	0	(/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	0	(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
✓	cost-diff	0	(-.f64 x #s(literal 1 binary64))
✓	cost-diff	128	(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
✓	cost-diff	192	(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
✓	cost-diff	0	(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
✓	cost-diff	128	(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))

Rules

4 064×	`lower-fma.f32`
4 060×	`lower-fma.f64`
1 856×	`lower-*.f32`
1 850×	`lower-*.f64`
1 140×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	187
0	44	185
1	82	185
2	166	185
3	302	185
4	524	185
5	953	185
6	2107	184
7	4391	184
8	5493	184
9	5950	184
10	6162	184
11	6201	184
12	6203	184
13	6819	184
14	7147	184
15	7157	184
16	7157	184
17	7157	184
18	7177	184
19	7177	184
0	7177	179

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)
#s(literal 1 binary64)
#s(literal 6 binary64)
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
#s(literal 6 binary64)
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
(sqrt.f64 x)
x
#s(literal -4 binary64)
#s(literal -1 binary64)
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
#s(literal 6 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
#s(literal -6 binary64)
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
(sqrt.f64 x)
x
#s(literal -4 binary64)
#s(literal -1 binary64)
(+.f64 x #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
#s(literal -1 binary64)
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
(sqrt.f64 x)
x
#s(literal -4 binary64)
(/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64)))
#s(literal 1/6 binary64)
(+.f64 x #s(literal -1 binary64))

Outputs
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/6 binary64))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)
#s(literal 1 binary64)
#s(literal 6 binary64)
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)))
#s(literal 6 binary64)
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
(sqrt.f64 x)
x
#s(literal -4 binary64)
#s(literal -1 binary64)
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
#s(literal 6 binary64)
(-.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))
x
#s(literal 1 binary64)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/6 binary64))))
(/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))
#s(literal -6 binary64)
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
(-.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
(sqrt.f64 x)
x
#s(literal -4 binary64)
#s(literal -1 binary64)
(+.f64 x #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/6 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))
#s(literal -1 binary64)
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
(-.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
(sqrt.f64 x)
x
#s(literal -4 binary64)
(/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64)))
#s(literal 1/6 binary64)
(+.f64 x #s(literal -1 binary64))

localize115.0ms (1%)

Memory

24.9MiB live, 216.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
✓	accuracy	99.9%	(/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))))
✓	accuracy	99.7%	(/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	100.0%	(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
✓	accuracy	100.0%	(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
✓	accuracy	99.9%	(/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
✓	accuracy	99.9%	(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
✓	accuracy	99.9%	(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
✓	accuracy	99.7%	(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
✓	accuracy	100.0%	(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
✓	accuracy	99.9%	(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
✓	accuracy	99.9%	(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))

Samples

51.0ms	236×	0	valid
5.0ms	10×	2	valid
4.0ms	10×	1	valid

Compiler

Compiled 205 to 29 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-div: 11.0ms (27% of total)

ival-mult: 8.0ms (19.6% of total)

const: 6.0ms (14.7% of total)

ival-sqrt: 6.0ms (14.7% of total)

ival-add: 5.0ms (12.3% of total)

ival-sub: 3.0ms (7.4% of total)

adjust: 1.0ms (2.5% of total)

exact: 1.0ms (2.5% of total)

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

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

series26.0ms (0.2%)

Memory

4.8MiB live, 42.6MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) (patch (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (patch (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (patch (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (patch (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (patch (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (patch (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64))) (patch (.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (patch (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (patch (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64)))) (patch (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (patch (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())

Outputs
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) (patch (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ (* x (+ (* -6 (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* -6 (/ (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64)))) (patch (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* -6 (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* x (+ (* -6 (/ (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (pow (- (* -4 (sqrt x)) 1) 2))) (* -6 (/ (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (- (* -4 (sqrt x)) 1))))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64)))) (patch (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -6 (- (* -4 (sqrt (/ 1 x))) 1)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64)))) (patch (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64)))) (patch (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64)))) (patch (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1)))) (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64)))) (patch (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64)))) (patch (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64)))) (patch (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64)))) (patch (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* 6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64)))) (patch (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (- (* -4 (sqrt x)) 1)) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (patch (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ x (pow (- (* -4 (sqrt x)) 1) 2))) (/ 1 (- (* -4 (sqrt x)) 1))) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (patch (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -1 (/ x (pow (- (* -4 (sqrt x)) 1) 3))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (/ 1 (- (* -4 (sqrt x)) 1))) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (patch (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (- (* -1 (/ x (pow (- (* -4 (sqrt x)) 1) 4))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 3)))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (/ 1 (- (* -4 (sqrt x)) 1))) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (patch (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (- (* -4 (sqrt (/ 1 x))) 1))) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (patch (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (patch (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 3))) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) x)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (patch (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 4))) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 3))) (pow x 2))) (+ (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (patch (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (patch (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (patch (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (patch (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) x)) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (patch (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt -1/6 (taylor 0 x) (#s(alt (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1/6 x) 1/6) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -1/6 x) 1/6)) 1/6) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (- (* -1/6 x) 1/6)) 1/6)) 1/6) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/6 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/6 (* 1/6 (/ 1 x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/6 (+ (/ 1/6 (pow x 2)) (* 1/6 (/ 1 x)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/6 (+ (/ 1/6 (pow x 2)) (+ (* 1/6 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/6 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/6 (* 1/6 (/ 1 x))) x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/6 (/ 1 x))) x)) 1/6) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 1/6 (+ (/ 1/6 (pow x 2)) (* 1/6 (/ 1 x)))) x)) 1/6) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())

Calls

51 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(/ (* 6 (- x 1)) (+ (* 4 (sqrt x)) 1))
1.0ms	x	@	-inf	(/ -1 (- (+ (* (sqrt x) -4) -1) x))
1.0ms	x	@	-inf	(* (/ -6 (- (+ (* (sqrt x) -4) -1) x)) (+ x -1))
1.0ms	x	@	0	(/ (* 6 (- x 1)) (+ (* 4 (sqrt x)) 1))
1.0ms	x	@	inf	(* (/ -6 (- (+ (* (sqrt x) -4) -1) x)) (+ x -1))

rewrite340.0ms (3%)

Memory

-8.0MiB live, 518.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 836×	`lower-/.f32`
4 822×	`lower-/.f64`
3 918×	`lower-fma.f32`
3 914×	`lower-fma.f64`
3 440×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	130
0	44	128
1	193	128
2	1666	128
0	8924	123

Stop Event

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

Counts

17 → 1 503

Calls

Call 1

Inputs
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(+.f64 x #s(literal -1 binary64))
(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
(sqrt.f64 x)
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
(/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64)))

Outputs
(+.f64 (/.f64 (*.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(+.f64 (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 (*.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))))
(-.f64 (/.f64 (*.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 (.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)))) (/.f64 (.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)))))
(fma.f64 x (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 (*.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 (*.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 (*.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) x) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 #s(literal -6 binary64) (/.f64 x (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) x (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #s(literal -6 binary64) (/.f64 (*.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #s(literal 6 binary64) (/.f64 (*.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 (*.f64 #s(literal -6 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 (*.f64 #s(literal 6 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 (*.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 (*.f64 x #s(literal 6 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) (.f64 x (.f64 x x)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))))) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 (/.f64 #s(literal -6 binary64) (*.f64 (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 (/.f64 x (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #s(literal -6 binary64) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 (/.f64 x (-.f64 (.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) (.f64 x (.f64 x x)))) (/.f64 #s(literal -6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))))) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 (/.f64 x (*.f64 (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) (/.f64 #s(literal -6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(neg.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal -6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 #s(literal 6 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 #s(literal -6 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (+.f64 x #s(literal 1 binary64))) (.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 (.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (-.f64 (.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) (.f64 (/.f64 (.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))))) (fma.f64 (/.f64 (.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (.f64 (/.f64 (.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 (.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) (.f64 (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) (-.f64 (.f64 (/.f64 (.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 (.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) (*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))
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simplify674.0ms (6%)

Memory

-23.0MiB live, 377.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 194×	`lower-fma.f64`
7 194×	`lower-fma.f32`
5 080×	`lower-*.f64`
5 080×	`lower-*.f32`
3 072×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	544	4946
1	1565	4407
2	4810	4319
0	8585	3906

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 200

Calls

Call 1

Inputs
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(/ -1 (+ 1 (* 4 (sqrt x))))
(- (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (/ 1 (+ 1 (* 4 (sqrt x)))))
(- (* x (+ (* -1 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x)))))
(- (* x (+ (* x (- (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x)))) (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x)))))
(/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))
(- (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))
(- (+ (* -1 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (+ (* -1 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))))
(/ -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (- (+ (* -1 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(- (* -1 (/ (+ (* -1 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (- (+ (* -1 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(/ 6 (- (* -4 (sqrt x)) 1))
(/ 6 (- (* -4 (sqrt x)) 1))
(/ 6 (- (* -4 (sqrt x)) 1))
(/ 6 (- (* -4 (sqrt x)) 1))
(* -3/2 (sqrt (/ 1 x)))
(/ (+ 3/8 (* -3/2 (sqrt x))) x)
(/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x)
(/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x)
(* 3/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x))
(- (* -4 (sqrt x)) 1)
(- (* -4 (sqrt x)) 1)
(- (* -4 (sqrt x)) 1)
(- (* -4 (sqrt x)) 1)
(* -4 (sqrt x))
(* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x)))
(* 4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(* 3/2 (sqrt x))
(+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x)))
(+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x))))
(+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (+ (* 3/8 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) (pow x 2))) (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x)))))
(* -3/2 (sqrt x))
(+ (* -3/2 (sqrt x)) (* 6 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) x)))
(+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -6 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -3/2 (* (sqrt (/ 1 x)) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x)))
(+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -6 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -3/8 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 3/2 (* (sqrt x) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x))) x)))
-6
(- (* 6 x) 6)
(- (* 6 x) 6)
(- (* 6 x) 6)
(* 6 x)
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* 6 x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(* 4 (sqrt x))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(/ 6 (- (* -4 (sqrt x)) 1))
(+ (* -6 (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(+ (* x (+ (* -6 (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* -6 (/ (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(+ (* x (+ (* -6 (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* x (+ (* -6 (/ (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (pow (- (* -4 (sqrt x)) 1) 2))) (* -6 (/ (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (- (* -4 (sqrt x)) 1))))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(/ -6 (- (* -4 (sqrt (/ 1 x))) 1))
(- (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(- (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(- (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1)))) (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* 6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(/ -6 (- (* -4 (sqrt x)) 1))
(- (* -6 (/ x (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(- (* x (- (* -6 (/ x (pow (- (* -4 (sqrt x)) 1) 3))) (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(- (* x (- (* x (- (* -6 (/ x (pow (- (* -4 (sqrt x)) 1) 4))) (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 3))))) (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(/ -6 (* x (- (* -4 (sqrt (/ 1 x))) 1)))
(* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) x))
(/ (- (* -1 (/ (+ (* 6 (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* 6 (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 3))))) x)) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) x)
(/ (- (* -1 (/ (+ (* 6 (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 3))) (* 6 (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 4))))) (pow x 2))) (+ (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (/ 6 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))))) x)
(/ 6 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (/ (- (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x))
(* -1 (/ (- (* -1 (/ (- (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4)))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)))) x)) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x))
(- (* -4 (sqrt x)) 1)
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(* x (- (* -4 (sqrt (/ 1 x))) 1))
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))
(/ 6 (- (* -4 (sqrt x)) 1))
(+ (* -6 (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(+ (* x (+ (* -6 (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* -6 (/ (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(+ (* x (+ (* -6 (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* x (+ (* -6 (/ (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (pow (- (* -4 (sqrt x)) 1) 2))) (* -6 (/ (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (- (* -4 (sqrt x)) 1))))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(/ -6 (- (* -4 (sqrt (/ 1 x))) 1))
(- (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(- (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(- (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1)))) (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* 6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(/ -1 (- (* -4 (sqrt x)) 1))
(- (* -1 (/ x (pow (- (* -4 (sqrt x)) 1) 2))) (/ 1 (- (* -4 (sqrt x)) 1)))
(- (* x (- (* -1 (/ x (pow (- (* -4 (sqrt x)) 1) 3))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (/ 1 (- (* -4 (sqrt x)) 1)))
(- (* x (- (* x (- (* -1 (/ x (pow (- (* -4 (sqrt x)) 1) 4))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 3)))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (/ 1 (- (* -4 (sqrt x)) 1)))
(/ -1 (* x (- (* -4 (sqrt (/ 1 x))) 1)))
(* -1 (/ (+ (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 3))) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) x)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)
(/ (- (* -1 (/ (+ (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 4))) (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 3))) (pow x 2))) (+ (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) x)
(/ 1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (/ (- (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) x)) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))
-1/6
(- (* -1/6 x) 1/6)
(- (* x (- (* -1/6 x) 1/6)) 1/6)
(- (* x (- (* x (- (* -1/6 x) 1/6)) 1/6)) 1/6)
(/ 1/6 x)
(/ (+ 1/6 (* 1/6 (/ 1 x))) x)
(/ (+ 1/6 (+ (/ 1/6 (pow x 2)) (* 1/6 (/ 1 x)))) x)
(/ (+ 1/6 (+ (/ 1/6 (pow x 2)) (+ (* 1/6 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))) x)
(/ 1/6 x)
(/ (+ 1/6 (* 1/6 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/6 (/ 1 x))) x)) 1/6) x))
(* -1 (/ (- (* -1 (/ (+ 1/6 (+ (/ 1/6 (pow x 2)) (* 1/6 (/ 1 x)))) x)) 1/6) x))

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

eval399.0ms (3.5%)

Memory: 27.5MiB live, 556.5MiB allocated
Compiler: Compiled 59 776 to 4 359 computations (92.7% saved)

prune389.0ms (3.4%)

Memory

18.3MiB live, 585.7MiB allocated

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	2 271	13	2 284
Fresh	3	1	4
Picked	2	3	5
Done	0	0	0
Total	2 276	17	2 293

Accuracy

100.0%

Counts

2 293 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.4%	(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
▶	99.8%	(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
	99.6%	(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)))
	5.2%	(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
✓	44.2%	(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
▶	4.2%	(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
	44.4%	(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
	47.4%	(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 6 binary64))
✓	99.9%	(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
	56.3%	(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
	44.2%	(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
	47.4%	(*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
✓	99.8%	(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
▶	56.2%	(.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
	4.2%	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
	5.0%	(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
▶	3.9%	(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))

Compiler

Compiled 328 to 260 computations (20.7% saved)

simplify164.0ms (1.4%)

Memory

19.1MiB live, 92.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
✓	cost-diff	0	(-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)
✓	cost-diff	128	(/.f64 #s(literal -6 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))
✓	cost-diff	128	(.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
✓	cost-diff	320	(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
✓	cost-diff	0	(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
✓	cost-diff	0	(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))

Rules

1 680×	`lower-fma.f32`
1 676×	`lower-fma.f64`
1 008×	`lower-*.f32`
1 002×	`lower-*.f64`
640×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	123
0	36	123
1	61	121
2	93	121
3	109	121
4	135	121
5	208	121
6	520	120
7	1283	120
8	1810	120
9	2270	120
10	3168	120
11	3719	120
12	3752	120
13	3752	120
14	3762	120
15	3776	120
16	3784	120
17	3792	120
0	3792	118

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
x
#s(literal 6 binary64)
#s(literal -6 binary64)
(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)
#s(literal 1 binary64)
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(sqrt.f64 x)
x
#s(literal -3/2 binary64)
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
#s(literal 6 binary64)
(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
(sqrt.f64 x)
x
#s(literal -4 binary64)
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
x
#s(literal 6 binary64)
#s(literal -6 binary64)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)
#s(literal 1 binary64)
(.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -6 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))
#s(literal -6 binary64)
(-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)
(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
(sqrt.f64 x)
x
#s(literal -4 binary64)
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)

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

localize113.0ms (1%)

Memory

-32.0MiB live, 136.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)
✓	accuracy	99.9%	(.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	99.7%	(/.f64 #s(literal -6 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))
✓	accuracy	100.0%	(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
✓	accuracy	99.7%	(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.6%	(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.5%	(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
✓	accuracy	99.8%	(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))

Samples

45.0ms	236×	0	valid
4.0ms	10×	2	valid
3.0ms	10×	1	valid

Compiler

Compiled 134 to 25 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-div: 15.0ms (44.9% of total)

ival-mult: 8.0ms (23.9% of total)

ival-add: 5.0ms (15% of total)

ival-sqrt: 2.0ms (6% of total)

adjust: 1.0ms (3% of total)

ival-sub: 1.0ms (3% of total)

exact: 1.0ms (3% of total)

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

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

series21.0ms (0.2%)

Memory

2.7MiB live, 38.9MiB allocated

Counts

12 → 144

Calls

Call 1

Inputs
#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (patch (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (patch (.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 6 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64))) (patch (/.f64 #s(literal 6 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (patch (.f64 (sqrt.f64 x) #s(literal -4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (+.f64 x #s(literal -1 binary64))) (patch (.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (patch (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) (patch (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) #<representation binary64>) () ())

Outputs
#s(alt (/ -6 (+ 1 (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ 1 (* 4 (sqrt x)))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (/ 6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt -6 (taylor 0 x) (#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 6 x) 6) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 6 x) 6) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 6 x) 6) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 6 (* 6 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 6 (* 6 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 6 (* 6 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 6 (/ 1 x)) 6))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 6 (/ 1 x)) 6))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 6 (/ 1 x)) 6))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (sqrt x))) (taylor 0 x) (#s(alt (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (patch (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (patch (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (patch (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* 4 (sqrt x)))) (taylor 0 x) (#s(alt (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (patch (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 4 (sqrt (/ 1 x))))) (taylor inf x) (#s(alt (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (patch (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (patch (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -6 (* x (- (* -1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x))))) (* -3/2 (sqrt (/ 1 x)))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (+.f64 x #s(literal -1 binary64))) (patch (.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3/2 (sqrt (/ 1 x))) (* x (+ (* -6 (- (* -1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))) (* 3/2 (* (sqrt x) (- (* -1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))))))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (+.f64 x #s(literal -1 binary64))) (patch (.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3/2 (sqrt (/ 1 x))) (* x (+ (* -6 (- (* -1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))) (* x (+ (* -3/8 (- (* -1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))) (* 3/2 (* (sqrt (/ 1 x)) (- (* -1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))))))))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (+.f64 x #s(literal -1 binary64))) (patch (.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -6 (- (* -4 (sqrt (/ 1 x))) 1)) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (+.f64 x #s(literal -1 binary64))) (patch (.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 6 (/ 1 (* x (- (* -4 (sqrt (/ 1 x))) 1)))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (+.f64 x #s(literal -1 binary64))) (patch (.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 6 (/ 1 (* x (- (* -4 (sqrt (/ 1 x))) 1)))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (+.f64 x #s(literal -1 binary64))) (patch (.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 6 (/ 1 (* x (- (* -4 (sqrt (/ 1 x))) 1)))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (+.f64 x #s(literal -1 binary64))) (patch (.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (+.f64 x #s(literal -1 binary64))) (patch (.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (+.f64 x #s(literal -1 binary64))) (patch (.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (+.f64 x #s(literal -1 binary64))) (patch (.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (+.f64 x #s(literal -1 binary64))) (patch (.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3/2 (sqrt (/ 1 x))) (taylor 0 x) (#s(alt (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (patch (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (* 3/2 (sqrt (/ 1 x))) 3/8) (taylor 0 x) (#s(alt (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (patch (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* 3/32 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))) (taylor 0 x) (#s(alt (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (patch (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* -1 (* x (+ (* -3/32 (sqrt (/ 1 (pow x 3)))) (* 3/128 (/ 1 x))))) (* 3/8 (/ 1 x))))) (taylor 0 x) (#s(alt (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (patch (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ -6 (* x (- (* -4 (sqrt (/ 1 x))) 1))) (taylor inf x) (#s(alt (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (patch (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ -6 (* x (- (* -4 (sqrt (/ 1 x))) 1))) (taylor inf x) (#s(alt (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (patch (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ -6 (* x (- (* -4 (sqrt (/ 1 x))) 1))) (taylor inf x) (#s(alt (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (patch (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ -6 (* x (- (* -4 (sqrt (/ 1 x))) 1))) (taylor inf x) (#s(alt (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (patch (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ 6 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (patch (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ 6 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (patch (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ 6 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (patch (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ 6 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (patch (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -4 (sqrt x)) (taylor 0 x) (#s(alt (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) (patch (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (sqrt x)) (* -1 x)) (taylor 0 x) (#s(alt (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) (patch (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (sqrt x)) (* -1 x)) (taylor 0 x) (#s(alt (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) (patch (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (sqrt x)) (* -1 x)) (taylor 0 x) (#s(alt (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) (patch (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -4 (sqrt (/ 1 x))) 1)) (taylor inf x) (#s(alt (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) (patch (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -4 (sqrt (/ 1 x))) 1)) (taylor inf x) (#s(alt (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) (patch (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -4 (sqrt (/ 1 x))) 1)) (taylor inf x) (#s(alt (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) (patch (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -4 (sqrt (/ 1 x))) 1)) (taylor inf x) (#s(alt (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) (patch (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) (patch (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) (patch (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) (patch (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) (patch (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) #<representation binary64>) () ())) ())

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(/ -6 (- (* (sqrt x) -4) x))
3.0ms	x	@	-inf	(/ (+ (* x 6) -6) (+ (* 4 (sqrt x)) 1))
1.0ms	x	@	-inf	(/ (+ (* x 6) -6) (+ x (+ (* 4 (sqrt x)) 1)))
1.0ms	x	@	inf	(/ (+ (* x 6) -6) (+ x (+ (* 4 (sqrt x)) 1)))
1.0ms	x	@	-inf	(/ 6 (* (sqrt x) -4))

rewrite449.0ms (4%)

Memory

-15.4MiB live, 595.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 176×	`lower-fma.f32`
9 172×	`lower-fma.f64`
4 368×	`lower-*.f32`
4 362×	`lower-*.f64`
3 948×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	80
0	36	80
1	149	78
2	1153	77
0	8710	75

Stop Event

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

Counts

12 → 737

Calls

Call 1

Inputs
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(sqrt.f64 x)
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -6 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))
(-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)

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

simplify386.0ms (3.4%)

Memory

-3.8MiB live, 635.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 624×	`lower-fma.f64`
11 624×	`lower-fma.f32`
3 888×	`lower-*.f64`
3 888×	`lower-*.f32`
2 858×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	269	1998
1	772	1841
2	2418	1727
3	7600	1715
0	8534	1566

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ 1 (* 4 (sqrt x)))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))
(- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (/ 6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))))
(- (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
-6
(- (* 6 x) 6)
(- (* 6 x) 6)
(- (* 6 x) 6)
(* 6 x)
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* 6 x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(* 4 (sqrt x))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -3/2 (sqrt x))
(* -3/2 (sqrt x))
(* -3/2 (sqrt x))
(* -3/2 (sqrt x))
(* -3/2 (sqrt x))
(* -3/2 (sqrt x))
(* -3/2 (sqrt x))
(* -3/2 (sqrt x))
(* 3/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* 3/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* 3/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* 3/2 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -4 (sqrt x))
(* -4 (sqrt x))
(* -4 (sqrt x))
(* -4 (sqrt x))
(* -4 (sqrt x))
(* -4 (sqrt x))
(* -4 (sqrt x))
(* -4 (sqrt x))
(* 4 (* (sqrt x) (pow (sqrt -1) 2)))
(* 4 (* (sqrt x) (pow (sqrt -1) 2)))
(* 4 (* (sqrt x) (pow (sqrt -1) 2)))
(* 4 (* (sqrt x) (pow (sqrt -1) 2)))
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(* 3/2 (sqrt x))
(- (+ (* -3/2 (sqrt (/ 1 x))) (* 3/2 (sqrt x))) 3/8)
(- (+ (* -3/2 (sqrt (/ 1 x))) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (- (* -3/2 (sqrt x)) (* 3/8 x)))) (* 3/2 (sqrt x)))) 3/8)
(- (+ (* -3/2 (sqrt (/ 1 x))) (+ (* 1/16 (/ (- (* -3/2 (sqrt x)) (* 3/8 x)) (pow x 2))) (* 3/2 (sqrt x)))) (+ 3/8 (* 1/4 (* (sqrt (/ 1 (pow x 3))) (- (* -3/2 (sqrt x)) (* 3/8 x))))))
(* -3/2 (sqrt x))
(- (+ (* -3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x)))) (/ -3/8 (pow (sqrt -1) 2)))
(+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2))))) (* -1/4 (* (sqrt (/ 1 x)) (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2))))))) x)))
(+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -1/16 (/ (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt x) (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2))))))) x))) x)))
(* -3/2 (sqrt (/ 1 x)))
(+ (* -6 (* x (- (* -1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x))))) (* -3/2 (sqrt (/ 1 x))))
(+ (* -3/2 (sqrt (/ 1 x))) (* x (+ (* -6 (- (* -1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))) (* 3/2 (* (sqrt x) (- (* -1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x))))))))
(+ (* -3/2 (sqrt (/ 1 x))) (* x (+ (* -6 (- (* -1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))) (* x (+ (* -3/8 (- (* -1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))) (* 3/2 (* (sqrt (/ 1 x)) (- (* -1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x))))))))))
(/ -6 (- (* -4 (sqrt (/ 1 x))) 1))
(- (* 6 (/ 1 (* x (- (* -4 (sqrt (/ 1 x))) 1)))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(- (* 6 (/ 1 (* x (- (* -4 (sqrt (/ 1 x))) 1)))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(- (* 6 (/ 1 (* x (- (* -4 (sqrt (/ 1 x))) 1)))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(- (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(- (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(- (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(* 3/2 (sqrt (/ 1 x)))
(- (* 3/2 (sqrt (/ 1 x))) 3/8)
(+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* 3/32 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))))
(+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* -1 (* x (+ (* -3/32 (sqrt (/ 1 (pow x 3)))) (* 3/128 (/ 1 x))))) (* 3/8 (/ 1 x)))))
(/ -6 (* x (- (* -4 (sqrt (/ 1 x))) 1)))
(/ -6 (* x (- (* -4 (sqrt (/ 1 x))) 1)))
(/ -6 (* x (- (* -4 (sqrt (/ 1 x))) 1)))
(/ -6 (* x (- (* -4 (sqrt (/ 1 x))) 1)))
(/ 6 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(/ 6 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(/ 6 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(/ 6 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -4 (sqrt x))
(+ (* -4 (sqrt x)) (* -1 x))
(+ (* -4 (sqrt x)) (* -1 x))
(+ (* -4 (sqrt x)) (* -1 x))
(* x (- (* -4 (sqrt (/ 1 x))) 1))
(* x (- (* -4 (sqrt (/ 1 x))) 1))
(* x (- (* -4 (sqrt (/ 1 x))) 1))
(* x (- (* -4 (sqrt (/ 1 x))) 1))
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))

Outputs
(/ -6 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
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(* 4 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
(* 4 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
(* 4 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
(/ -6 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) x))
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) x))
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) x))
(* 3/2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(- (+ (* -3/2 (sqrt (/ 1 x))) (* 3/2 (sqrt x))) 3/8)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64) (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64)))
(- (+ (* -3/2 (sqrt (/ 1 x))) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (- (* -3/2 (sqrt x)) (* 3/8 x)))) (* 3/2 (sqrt x)))) 3/8)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (fma.f64 x #s(literal -3/8 binary64) (.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))) (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64))))
(- (+ (* -3/2 (sqrt (/ 1 x))) (+ (* 1/16 (/ (- (* -3/2 (sqrt x)) (* 3/8 x)) (pow x 2))) (* 3/2 (sqrt x)))) (+ 3/8 (* 1/4 (* (sqrt (/ 1 (pow x 3))) (- (* -3/2 (sqrt x)) (* 3/8 x))))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (fma.f64 x #s(literal -3/8 binary64) (.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))) (fma.f64 (fma.f64 x #s(literal -3/8 binary64) (.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) (/.f64 #s(literal 1/16 binary64) (.f64 x x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64) (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64)))))
(* -3/2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(- (+ (* -3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x)))) (/ -3/8 (pow (sqrt -1) 2)))
(fma.f64 #s(literal 3/2 binary64) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -3/8 binary64))
(+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2))))) (* -1/4 (* (sqrt (/ 1 x)) (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2))))))) x)))
(fma.f64 (fma.f64 x #s(literal 3/8 binary64) (.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/4 binary64) #s(literal -1 binary64)) x) (.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))
(+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -1/16 (/ (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt x) (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2))))))) x))) x)))
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) (.f64 x #s(literal -3/8 binary64))) #s(literal 1/16 binary64) (.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) (.f64 x #s(literal -3/8 binary64))) (.f64 (sqrt.f64 x) #s(literal 1/4 binary64)))) x) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))) x) #s(literal 3/8 binary64)))
(* -3/2 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(+ (* -6 (* x (- (* -1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x))))) (* -3/2 (sqrt (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64) (fma.f64 x (.f64 #s(literal -6 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/4 binary64))) #s(literal 3/8 binary64)))
(+ (* -3/2 (sqrt (/ 1 x))) (* x (+ (* -6 (- (* -1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))) (* 3/2 (* (sqrt x) (- (* -1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x))))))))
(fma.f64 x (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/4 binary64) (/.f64 #s(literal -1/16 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -6 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)))
(+ (* -3/2 (sqrt (/ 1 x))) (* x (+ (* -6 (- (* -1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))) (* x (+ (* -3/8 (- (* -1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))) (* 3/2 (* (sqrt (/ 1 x)) (- (* -1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x))))))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64) (fma.f64 x (.f64 x (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/4 binary64) (/.f64 #s(literal -1/16 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)))) (fma.f64 x (.f64 #s(literal -6 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/4 binary64))) #s(literal 3/8 binary64))))
(/ -6 (- (* -4 (sqrt (/ 1 x))) 1))
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))
(- (* 6 (/ 1 (* x (- (* -4 (sqrt (/ 1 x))) 1)))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(- (* 6 (/ 1 (* x (- (* -4 (sqrt (/ 1 x))) 1)))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(- (* 6 (/ 1 (* x (- (* -4 (sqrt (/ 1 x))) 1)))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))
(- (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(- (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(- (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(* 3/2 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))
(- (* 3/2 (sqrt (/ 1 x))) 3/8)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64))
(+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* 3/32 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))))
(fma.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/32 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)))
(+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* -1 (* x (+ (* -3/32 (sqrt (/ 1 (pow x 3)))) (* 3/128 (/ 1 x))))) (* 3/8 (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal 3/32 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))) #s(literal -3/128 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)))
(/ -6 (* x (- (* -4 (sqrt (/ 1 x))) 1)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x))
(/ -6 (* x (- (* -4 (sqrt (/ 1 x))) 1)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x))
(/ -6 (* x (- (* -4 (sqrt (/ 1 x))) 1)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x))
(/ -6 (* x (- (* -4 (sqrt (/ 1 x))) 1)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x))
(/ 6 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x))
(/ 6 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x))
(/ 6 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x))
(/ 6 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x))
(* -4 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
(+ (* -4 (sqrt x)) (* -1 x))
(-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)
(+ (* -4 (sqrt x)) (* -1 x))
(-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)
(+ (* -4 (sqrt x)) (* -1 x))
(-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)
(* x (- (* -4 (sqrt (/ 1 x))) 1))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))
(* x (- (* -4 (sqrt (/ 1 x))) 1))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))
(* x (- (* -4 (sqrt (/ 1 x))) 1))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))
(* x (- (* -4 (sqrt (/ 1 x))) 1))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))

eval232.0ms (2.1%)

Memory: 46.7MiB live, 306.8MiB allocated
Compiler: Compiled 23 557 to 2 314 computations (90.2% saved)

prune202.0ms (1.8%)

Memory

-19.3MiB live, 340.4MiB allocated

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	1 115	9	1 124
Fresh	3	6	9
Picked	2	3	5
Done	0	3	3
Total	1 120	21	1 141

Accuracy

100.0%

Counts

1 141 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.2%	(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))
✓	47.4%	(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
✓	99.8%	(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
▶	7.4%	(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
	56.0%	(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1/6 binary64)))
▶	99.6%	(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)))
	5.2%	(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
✓	44.2%	(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
	4.2%	(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
	44.4%	(/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
	47.4%	(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 6 binary64))
	56.3%	(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) #s(literal -6 binary64))
✓	99.9%	(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
	44.2%	(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
▶	56.2%	(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) (+.f64 x #s(literal -1 binary64)))
	47.4%	(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) x))
▶	4.2%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
✓	99.8%	(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
	4.2%	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
▶	5.0%	(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
✓	3.9%	(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))

Compiler

Compiled 371 to 293 computations (21% saved)

simplify238.0ms (2.1%)

Memory

5.1MiB live, 278.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)
✓	cost-diff	0	(/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
✓	cost-diff	0	(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
✓	cost-diff	320	(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
✓	cost-diff	0	(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)))
✓	cost-diff	128	(*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))

Rules

4 372×	`lower-fma.f32`
4 366×	`lower-fma.f64`
1 996×	`lower-*.f32`
1 986×	`lower-*.f64`
1 680×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	121
0	42	119
1	73	118
2	111	117
3	184	117
4	257	117
5	391	117
6	719	117
7	1328	117
8	2554	117
9	4105	117
10	5577	117
11	6275	117
12	6363	117
13	6434	116
14	6684	116
15	7520	116
0	8050	114

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)))
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
(sqrt.f64 x)
#s(literal -4 binary64)
#s(literal -1/6 binary64)
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(sqrt.f64 x)
x
#s(literal 3/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
#s(literal -3/2 binary64)
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
x
#s(literal 6 binary64)
#s(literal -6 binary64)
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
#s(literal 4 binary64)
(sqrt.f64 x)
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))
#s(literal 6 binary64)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)
#s(literal 4 binary64)
(sqrt.f64 x)
x
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)

Outputs
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64))))
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))
(fma.f64 x #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)))
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
(sqrt.f64 x)
#s(literal -4 binary64)
#s(literal -1/6 binary64)
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(sqrt.f64 x)
x
#s(literal 3/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
#s(literal -3/2 binary64)
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(/.f64 (fma.f64 x #s(literal 3/2 binary64) #s(literal -3/2 binary64)) (sqrt.f64 x))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
x
#s(literal 6 binary64)
#s(literal -6 binary64)
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x))
(/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x))
#s(literal 6 binary64)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
#s(literal 4 binary64)
(sqrt.f64 x)
x
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)

localize136.0ms (1.2%)

Memory

8.8MiB live, 163.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)
✓	accuracy	99.9%	(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	99.7%	(/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))
✓	accuracy	100.0%	(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.5%	(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.5%	(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
✓	accuracy	100.0%	(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
✓	accuracy	100.0%	(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
✓	accuracy	99.9%	(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)))
✓	accuracy	99.6%	(*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))

Samples

56.0ms	10×	2	valid
42.0ms	236×	0	valid
3.0ms	10×	1	valid

Compiler

Compiled 132 to 29 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 11.0ms (34.4% of total)

ival-div: 6.0ms (18.8% of total)

ival-add: 5.0ms (15.6% of total)

const: 4.0ms (12.5% of total)

ival-sqrt: 2.0ms (6.3% of total)

adjust: 1.0ms (3.1% of total)

ival-sub: 1.0ms (3.1% of total)

exact: 1.0ms (3.1% of total)

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

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

series12.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Counts

15 → 180

Calls

Call 1

Inputs
#s(alt (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) (patch (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) (patch (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (patch (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (patch (.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (patch (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (patch (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 4 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 4 binary64) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) (+.f64 x #s(literal -1 binary64))) (patch (.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) (patch (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (patch (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* -1/6 (- (* -4 (sqrt x)) 1)) (taylor 0 x) (#s(alt (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) (patch (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x)) (taylor 0 x) (#s(alt (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) (patch (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x)) (taylor 0 x) (#s(alt (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) (patch (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x)) (taylor 0 x) (#s(alt (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) (patch (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (* x (- (* -4 (sqrt (/ 1 x))) 1))) (taylor inf x) (#s(alt (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) (patch (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/6 (- (* -4 (sqrt (/ 1 x))) 1)) (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) (patch (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/6 (- (* -4 (sqrt (/ 1 x))) 1)) (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) (patch (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/6 (- (* -4 (sqrt (/ 1 x))) 1)) (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) (patch (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) (patch (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/6 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) (patch (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/6 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) (patch (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/6 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) (patch (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 6 (- (* -4 (sqrt x)) 1)) (taylor 0 x) (#s(alt (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) (patch (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) (patch (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* -6 (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* -6 (/ (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) (patch (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* -6 (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* x (+ (* -6 (/ (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (pow (- (* -4 (sqrt x)) 1) 2))) (* -6 (/ (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (- (* -4 (sqrt x)) 1))))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) (patch (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -6 (- (* -4 (sqrt (/ 1 x))) 1)) (taylor inf x) (#s(alt (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) (patch (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) (taylor inf x) (#s(alt (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) (patch (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) (taylor inf x) (#s(alt (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) (patch (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1)))) (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) (taylor inf x) (#s(alt (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) (patch (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -4 (sqrt x)) (taylor inf x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (patch (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())

Calls

45 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ (+ (* x 6) -6) (* 4 (sqrt x)))
1.0ms	x	@	-inf	(* (/ 6 (+ (* 4 (sqrt x)) x)) (+ x -1))
1.0ms	x	@	0	(* (/ 6 (+ (* 4 (sqrt x)) x)) (+ x -1))
1.0ms	x	@	-inf	(/ 6 (+ (* 4 (sqrt x)) x))
1.0ms	x	@	inf	(* (/ 6 (+ (* 4 (sqrt x)) x)) (+ x -1))

rewrite369.0ms (3.3%)

Memory

-7.5MiB live, 515.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 414×	`lower-fma.f32`
6 408×	`lower-fma.f64`
4 210×	`lower-/.f32`
4 202×	`lower-/.f64`
4 056×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	93
0	42	91
1	160	89
2	1191	87
0	8393	87

Stop Event

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

Counts

15 → 792

Calls

Call 1

Inputs
(*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)))
(+.f64 x #s(literal -1 binary64))
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(sqrt.f64 x)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))

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

simplify635.0ms (5.6%)

Memory

9.1MiB live, 598.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 322×	`lower-fma.f64`
10 322×	`lower-fma.f32`
5 022×	`lower-*.f64`
5 022×	`lower-*.f32`
2 174×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	228	2166
1	662	2037
2	2090	1930
3	5813	1894
0	8177	1722

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 178

Calls

Call 1

Inputs
(* -1/6 (- (* -4 (sqrt x)) 1))
(+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x))
(+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x))
(+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x))
(* -1/6 (* x (- (* -4 (sqrt (/ 1 x))) 1)))
(* x (+ (* -1/6 (- (* -4 (sqrt (/ 1 x))) 1)) (* 1/6 (/ 1 x))))
(* x (+ (* -1/6 (- (* -4 (sqrt (/ 1 x))) 1)) (* 1/6 (/ 1 x))))
(* x (+ (* -1/6 (- (* -4 (sqrt (/ 1 x))) 1)) (* 1/6 (/ 1 x))))
(* 1/6 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (- (* -1/6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/6 (/ 1 x)))))
(* -1 (* x (- (* -1/6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/6 (/ 1 x)))))
(* -1 (* x (- (* -1/6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/6 (/ 1 x)))))
(/ 6 (- (* -4 (sqrt x)) 1))
(+ (* -6 (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(+ (* x (+ (* -6 (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* -6 (/ (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(+ (* x (+ (* -6 (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* x (+ (* -6 (/ (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (pow (- (* -4 (sqrt x)) 1) 2))) (* -6 (/ (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (- (* -4 (sqrt x)) 1))))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(/ -6 (- (* -4 (sqrt (/ 1 x))) 1))
(- (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(- (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(- (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1)))) (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* 6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(- (* -4 (sqrt x)) 1)
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(* x (- (* -4 (sqrt (/ 1 x))) 1))
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))
(* 3/2 (sqrt x))
(* 3/2 (sqrt x))
(* 3/2 (sqrt x))
(* 3/2 (sqrt x))
(* 3/2 (sqrt x))
(* 3/2 (sqrt x))
(* 3/2 (sqrt x))
(* 3/2 (sqrt x))
(* -3/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3/2 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* -3/2 (sqrt (/ 1 x)))
(/ (+ (* -3/2 (sqrt x)) (* 3/2 (sqrt (pow x 3)))) x)
(/ (+ (* -3/2 (sqrt x)) (* 3/2 (sqrt (pow x 3)))) x)
(/ (+ (* -3/2 (sqrt x)) (* 3/2 (sqrt (pow x 3)))) x)
(* 3/2 (sqrt x))
(* x (+ (* -3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 x)))))
(* x (+ (* -3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 x)))))
(* x (+ (* -3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 x)))))
(* 3/2 (sqrt x))
(* -1 (* x (+ (* -3/2 (sqrt (/ 1 x))) (* 3/2 (sqrt (/ 1 (pow x 3)))))))
(* -1 (* x (+ (* -3/2 (sqrt (/ 1 x))) (* 3/2 (sqrt (/ 1 (pow x 3)))))))
(* -1 (* x (+ (* -3/2 (sqrt (/ 1 x))) (* 3/2 (sqrt (/ 1 (pow x 3)))))))
-6
(- (* 6 x) 6)
(- (* 6 x) 6)
(- (* 6 x) 6)
(* 6 x)
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* 6 x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3/2 (sqrt (/ 1 x)))
(+ (* -3/2 (sqrt (/ 1 x))) (* 6 (* x (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x))))))
(+ (* -3/2 (sqrt (/ 1 x))) (* x (+ (* -3/2 (* (sqrt x) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x))))) (* 6 (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))))))
(+ (* -3/2 (sqrt (/ 1 x))) (* x (+ (* 6 (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))) (* x (+ (* -3/2 (* (sqrt (/ 1 x)) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x))))) (* 3/8 (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))))))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))))
(- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))))
(- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* 6 (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* 6 (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(* 3/2 (sqrt (/ 1 x)))
(- (* 3/2 (sqrt (/ 1 x))) 3/8)
(+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* 3/32 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))))
(+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* -1 (* x (+ (* -3/32 (sqrt (/ 1 (pow x 3)))) (* 3/128 (/ 1 x))))) (* 3/8 (/ 1 x)))))
(/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))
(/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))
(/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))
(/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))
(/ -6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(/ -6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(/ -6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(/ -6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* 4 (sqrt x))
(+ x (* 4 (sqrt x)))
(+ x (* 4 (sqrt x)))
(+ x (* 4 (sqrt x)))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(- (* -4 (sqrt x)) 1)
(- (* -4 (sqrt x)) 1)
(- (* -4 (sqrt x)) 1)
(- (* -4 (sqrt x)) 1)
(* -4 (sqrt x))
(* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x)))
(* 4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))

Outputs
(* -1/6 (- (* -4 (sqrt x)) 1))
(fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64))
(+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)))
(+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)))
(+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)))
(* -1/6 (* x (- (* -4 (sqrt (/ 1 x))) 1)))
(*.f64 x (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
(* x (+ (* -1/6 (- (* -4 (sqrt (/ 1 x))) 1)) (* 1/6 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) #s(literal 1/6 binary64))
(* x (+ (* -1/6 (- (* -4 (sqrt (/ 1 x))) 1)) (* 1/6 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) #s(literal 1/6 binary64))
(* x (+ (* -1/6 (- (* -4 (sqrt (/ 1 x))) 1)) (* 1/6 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) #s(literal 1/6 binary64))
(* 1/6 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 x (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
(* -1 (* x (- (* -1/6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) #s(literal 1/6 binary64))
(* -1 (* x (- (* -1/6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) #s(literal 1/6 binary64))
(* -1 (* x (- (* -1/6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/6 (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) #s(literal 1/6 binary64))
(/ 6 (- (* -4 (sqrt x)) 1))
(/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))
(+ (* -6 (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(fma.f64 x (+.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
(+ (* x (+ (* -6 (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* -6 (/ (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(fma.f64 x (fma.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 x (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) (/.f64 x (.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 6 binary64) (.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
(+ (* x (+ (* -6 (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* x (+ (* -6 (/ (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (pow (- (* -4 (sqrt x)) 1) 2))) (* -6 (/ (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (- (* -4 (sqrt x)) 1))))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(fma.f64 x (+.f64 (fma.f64 x (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) (fma.f64 x (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) #s(literal -6 binary64))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
(/ -6 (- (* -4 (sqrt (/ 1 x))) 1))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))
(- (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) x) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))))
(- (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 #s(literal -6 binary64) (.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 #s(literal -6 binary64) (.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) (.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (.f64 x x))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))))
(- (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1)))) (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 #s(literal -6 binary64) (.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) (.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (.f64 x x))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 #s(literal -6 binary64) (.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) x) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 #s(literal -6 binary64) (.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) (.f64 x (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 x #s(literal 4 binary64)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x)))))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))))
(/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) x) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))))
(+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
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(fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 x #s(literal 3/32 binary64)) #s(literal -3/128 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64) #s(literal -3/8 binary64)))
(/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x))
(/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x))
(/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x))
(/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x))
(/ -6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x))
(/ -6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x))
(/ -6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x))
(/ -6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x))
(* 4 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(+ x (* 4 (sqrt x)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
(+ x (* 4 (sqrt x)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
(+ x (* 4 (sqrt x)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x)
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x)
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x)
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x)
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x)
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x)
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x)
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x)
(- (* -4 (sqrt x)) 1)
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))
(- (* -4 (sqrt x)) 1)
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))
(- (* -4 (sqrt x)) 1)
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))
(- (* -4 (sqrt x)) 1)
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))
(* -4 (sqrt x))
(*.f64 #s(literal -4 binary64) (sqrt.f64 x))
(* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -4 binary64) x) #s(literal -1 binary64))
(* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -4 binary64) x) #s(literal -1 binary64))
(* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -4 binary64) x) #s(literal -1 binary64))
(* 4 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal -4 binary64) (sqrt.f64 x))
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -4 binary64) x) #s(literal -1 binary64))
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -4 binary64) x) #s(literal -1 binary64))
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -4 binary64) x) #s(literal -1 binary64))

eval163.0ms (1.4%)

Memory: 26.4MiB live, 376.6MiB allocated
Compiler: Compiled 22 927 to 2 674 computations (88.3% saved)

prune348.0ms (3.1%)

Memory

-123.9MiB live, 378.9MiB allocated

Pruning

23 alts after pruning (14 fresh and 9 done)

	Pruned	Kept	Total
New	1 152	8	1 160
Fresh	4	6	10
Picked	2	3	5
Done	0	6	6
Total	1 158	23	1 181

Accuracy

100.0%

Counts

1 181 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.2%	(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x))
✓	47.4%	(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
✓	99.8%	(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
	99.6%	(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x #s(literal 1/6 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64))))
	47.4%	(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)))
	5.2%	(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
	5.0%	(/.f64 (.f64 x #s(literal 6 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓	44.2%	(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
	5.0%	(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
	4.2%	(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
	7.4%	(*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 x)))
	56.3%	(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)) #s(literal 6 binary64))
	47.4%	(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 6 binary64))
✓	99.9%	(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
	7.4%	(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64))
	44.2%	(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
✓	56.2%	(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) (+.f64 x #s(literal -1 binary64)))
	47.4%	(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) x))
✓	4.2%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
✓	99.8%	(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
	4.2%	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
✓	5.0%	(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
✓	3.9%	(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))

Compiler

Compiled 641 to 286 computations (55.4% saved)

regimes24.0ms (0.2%)

Memory

6.4MiB live, 44.8MiB allocated

Counts

40 → 1

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64))
(/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)))
(/.f64 (.f64 x #s(literal 6 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x))
(*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 6 binary64))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)) #s(literal 6 binary64))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1/6 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x #s(literal 1/6 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) #s(literal -6 binary64))
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)))
(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal -16 binary64))))

Outputs
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))

Calls

2 calls:

13.0ms	x
9.0ms	(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes25.0ms (0.2%)

Memory

-5.8MiB live, 33.1MiB allocated

Counts

34 → 1

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64))
(/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)))
(/.f64 (.f64 x #s(literal 6 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x))
(*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 6 binary64))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)) #s(literal 6 binary64))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1/6 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x #s(literal 1/6 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) #s(literal -6 binary64))
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))

Outputs
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))

Calls

2 calls:

15.0ms	x
8.0ms	(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes41.0ms (0.4%)

Memory

-8.1MiB live, 30.9MiB allocated

Counts

32 → 1

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64))
(/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)))
(/.f64 (.f64 x #s(literal 6 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x))
(*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 6 binary64))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)) #s(literal 6 binary64))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1/6 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x #s(literal 1/6 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) #s(literal -6 binary64))

Outputs
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))

Calls

2 calls:

32.0ms	x
7.0ms	(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes16.0ms (0.1%)

Memory

34.1MiB live, 34.1MiB allocated

Counts

27 → 1

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64))
(/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)))
(/.f64 (.f64 x #s(literal 6 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x))
(*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 6 binary64))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)) #s(literal 6 binary64))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1/6 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x #s(literal 1/6 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64))))

Outputs
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x #s(literal 1/6 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64))))

Calls

2 calls:

8.0ms	x
6.0ms	(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes23.0ms (0.2%)

Memory

-17.8MiB live, 26.6MiB allocated

Counts

26 → 2

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64))
(/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)))
(/.f64 (.f64 x #s(literal 6 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x))
(*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 6 binary64))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)) #s(literal 6 binary64))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1/6 binary64)))

Outputs

(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))

(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)) #s(literal 6 binary64))

Calls

2 calls:

8.0ms	x
6.0ms	(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))

Results

Accuracy	Segments	Branch
96.3%	2	`x`
96.3%	2	`(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes15.0ms (0.1%)

Memory

-8.2MiB live, 31.0MiB allocated

Counts

23 → 2

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64))
(/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)))
(/.f64 (.f64 x #s(literal 6 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x))
(*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 6 binary64))

Outputs

(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))

(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) (+.f64 x #s(literal -1 binary64)))

Calls

2 calls:

8.0ms	x
6.0ms	(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))

Results

Accuracy	Segments	Branch
96.2%	2	`x`
96.2%	2	`(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes14.0ms (0.1%)

Memory

-9.8MiB live, 28.8MiB allocated

Counts

21 → 2

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64))
(/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)))
(/.f64 (.f64 x #s(literal 6 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x))
(*.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) x))

Outputs

(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))

(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))

Calls

2 calls:

8.0ms	x
5.0ms	(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))

Results

Accuracy	Segments	Branch
96.2%	2	`x`
96.2%	2	`(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes11.0ms (0.1%)

Memory

25.9MiB live, 25.9MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64))
(/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)))
(/.f64 (.f64 x #s(literal 6 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))

Outputs
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))

Calls

2 calls:

5.0ms	x
4.0ms	(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))

Results

Accuracy	Segments	Branch
47.4%	1	`x`
47.4%	1	`(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes12.0ms (0.1%)

Memory

-13.9MiB live, 24.9MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64))
(/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)))
(/.f64 (.f64 x #s(literal 6 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))

Outputs
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)))

Calls

2 calls:

5.0ms	(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
5.0ms	x

Results

Accuracy	Segments	Branch
47.4%	1	`x`
47.4%	1	`(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes7.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64))
(/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))

Outputs
(/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64))

Calls

2 calls:

3.0ms	x
3.0ms	(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))

Results

Accuracy	Segments	Branch
47.4%	2	`x`
47.4%	2	`(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes9.0ms (0.1%)

Memory

-24.0MiB live, 16.5MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64))

Outputs
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64))

Calls

2 calls:

5.0ms	(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
3.0ms	x

Results

Accuracy	Segments	Branch
47.4%	2	`x`
47.4%	2	`(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes6.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))

Outputs
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))

Calls

2 calls:

3.0ms	x
2.0ms	(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))

Results

Accuracy	Segments	Branch
47.4%	2	`x`
47.4%	2	`(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes5.0ms (0%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))

Outputs
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))

Calls

2 calls:

3.0ms	x
2.0ms	(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))

Results

Accuracy	Segments	Branch
7.4%	2	`x`
7.4%	2	`(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes5.0ms (0%)

Memory

-27.5MiB live, 9.9MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))

Outputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))

Calls

2 calls:

3.0ms	(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
2.0ms	x

Results

Accuracy	Segments	Branch
7.3%	2	`x`
7.3%	2	`(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes3.0ms (0%)

Memory

8.4MiB live, 8.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))

Outputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))

Calls

2 calls:

1.0ms	x
1.0ms	(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))

Results

Accuracy	Segments	Branch
3.9%	1	`x`
3.9%	1	`(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.8701003933979985	2.6468275739885034

Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.8701003933979985	2.6468275739885034

Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.8701003933979985	2.6468275739885034

Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.8701003933979985	2.6468275739885034

Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.8701003933979985	2.6468275739885034

Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.8701003933979985	2.6468275739885034

Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.8701003933979985	2.6468275739885034

Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.8701003933979985	2.6468275739885034

Compiler

Compiled 18 to 15 computations (16.7% saved)

simplify11.0ms (0.1%)

Memory

-14.4MiB live, 24.8MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
14×	`+-commutative_binary64`
8×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	330
1	78	330
2	84	330
3	91	330
4	92	330

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x #s(literal 1/6 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64))))
(if (<=.f64 (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -4 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)) #s(literal 6 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -4 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) (+.f64 x #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -4 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -4 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -4 binary64)) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -4 binary64)) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -4 binary64)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -4 binary64)) (.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))

Outputs
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x #s(literal 1/6 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64))))
(if (<=.f64 (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -4 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)) #s(literal 6 binary64)))
(if (<=.f64 (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -4 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 6 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x))))
(if (<=.f64 (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -4 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) (+.f64 x #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -4 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))))
(if (<=.f64 (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -4 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))
(if (<=.f64 (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -4 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 x) #s(literal 1/6 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -4 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64)))
(if (<=.f64 (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -4 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -4 binary64)) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64)))
(if (<=.f64 (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -4 binary64)) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -4 binary64)) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(if (<=.f64 (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -4 binary64)) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -4 binary64)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(if (<=.f64 (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -4 binary64)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -4 binary64)) (.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(if (<=.f64 (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -4 binary64)) (.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))

soundness1.9s (16.4%)

Memory

-14.8MiB live, 1 401.2MiB allocated

Rules

19 378×	`lower-fma.f64`
19 378×	`lower-fma.f32`
11 624×	`lower-fma.f64`
11 624×	`lower-fma.f32`
10 322×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	80
0	36	80
1	149	78
2	1153	77
0	8710	75
0	25	93
0	42	91
1	160	89
2	1191	87
0	8393	87
0	544	4946
1	1565	4407
2	4810	4319
0	8585	3906
0	269	1998
1	772	1841
2	2418	1727
3	7600	1715
0	8534	1566
0	228	2166
1	662	2037
2	2090	1930
3	5813	1894
0	8177	1722
0	25	130
0	44	128
1	193	128
2	1666	128
0	8924	123
0	131	940
1	372	865
2	1055	829
3	3184	747
0	8584	670
0	11	32
0	18	32
1	69	32
2	526	32
0	8441	28

Stop Event

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

Compiler

Compiled 849 to 418 computations (50.8% saved)

preprocess90.0ms (0.8%)

Memory: 13.4MiB live, 247.7MiB allocated
Compiler: Compiled 722 to 158 computations (78.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

sample992.0ms (8.8%)

preprocess144.0ms (1.3%)

explain184.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify128.0ms (1.1%)

localize46.0ms (0.4%)

series8.0ms (0.1%)

rewrite629.0ms (5.6%)

simplify957.0ms (8.5%)

eval165.0ms (1.5%)

prune133.0ms (1.2%)

simplify349.0ms (3.1%)

localize115.0ms (1%)

series26.0ms (0.2%)

rewrite340.0ms (3%)

simplify674.0ms (6%)

eval399.0ms (3.5%)

prune389.0ms (3.4%)

simplify164.0ms (1.4%)

localize113.0ms (1%)

series21.0ms (0.2%)

rewrite449.0ms (4%)

simplify386.0ms (3.4%)

eval232.0ms (2.1%)

prune202.0ms (1.8%)

simplify238.0ms (2.1%)

localize136.0ms (1.2%)

series12.0ms (0.1%)

rewrite369.0ms (3.3%)

simplify635.0ms (5.6%)

eval163.0ms (1.4%)

prune348.0ms (3.1%)

regimes24.0ms (0.2%)

regimes25.0ms (0.2%)

regimes41.0ms (0.4%)

regimes16.0ms (0.1%)

regimes23.0ms (0.2%)

regimes15.0ms (0.1%)

regimes14.0ms (0.1%)

regimes11.0ms (0.1%)

regimes12.0ms (0.1%)

regimes7.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify11.0ms (0.1%)

soundness1.9s (16.4%)

preprocess90.0ms (0.8%)

end0.0ms (0%)

Profiling