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

analyze2.0ms (0%)

Memory

7.8MiB live, 7.8MiB 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)

sample1.3s (12.5%)

Memory

6.8MiB live, 1 462.6MiB allocated

Samples

815.0ms	8 256×	0	valid
1.0ms	12×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 488.0ms

ival-mult: 128.0ms (26.2% of total)

ival-sub: 113.0ms (23.1% of total)

ival-add: 111.0ms (22.7% of total)

ival-sqrt: 65.0ms (13.3% of total)

ival-div: 51.0ms (10.4% of total)

exact: 10.0ms (2% of total)

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

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

Bogosity

preprocess108.0ms (1%)

Memory

-17.2MiB live, 59.9MiB allocated

Algorithm

1×	egg-herbie

Rules

832×	`accelerator-lowering-fma.f32`
832×	`accelerator-lowering-fma.f64`
448×	`-lowering-.f32`
448×	`-lowering-.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
1	24	14
2	45	14
3	52	14
4	72	14
5	106	14
6	175	14
7	286	14
8	519	14
9	794	14
10	1342	14
11	1594	14
12	1619	14
0	1619	12

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

Outputs
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt 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))))

explain144.0ms (1.4%)

Memory

-33.0MiB live, 241.7MiB 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

39.0ms	474×	0	valid
22.0ms	26×	1	valid
2.0ms	12×	2	valid

Compiler

Compiled 120 to 48 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-sqrt: 23.0ms (49.6% of total)

ival-mult: 7.0ms (15.1% of total)

ival-div: 6.0ms (12.9% of total)

ival-add: 5.0ms (10.8% of total)

ival-sub: 3.0ms (6.5% of total)

adjust: 1.0ms (2.2% of total)

exact: 1.0ms (2.2% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB 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)

simplify52.0ms (0.5%)

Memory

14.2MiB live, 92.6MiB 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×	`accelerator-lowering-fma.f32`
832×	`accelerator-lowering-fma.f64`
448×	`-lowering-.f32`
448×	`-lowering-.f64`
250×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	24	43
2	45	43
3	52	43
4	72	43
5	106	43
6	175	43
7	286	43
8	519	43
9	794	43
10	1342	43
11	1594	43
12	1619	43
0	1619	39

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize38.0ms (0.4%)

Memory

-6.6MiB live, 72.7MiB 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

18.0ms	237×	0	valid
2.0ms	13×	1	valid
1.0ms	6×	2	valid

Compiler

Compiled 45 to 13 computations (71.1% saved)

Precisions

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

ival-mult: 3.0ms (24.6% of total)

ival-div: 2.0ms (16.4% of total)

ival-add: 2.0ms (16.4% of total)

ival-sub: 2.0ms (16.4% of total)

ival-sqrt: 2.0ms (16.4% of total)

adjust: 1.0ms (8.2% of total)

exact: 0.0ms (0% of total)

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

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

series7.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (* 6 (- x 1))>
#<alt (+ (+ x 1) (* 4 (sqrt x)))>
#<alt (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))>
#<alt (- x 1)>
#<alt (sqrt x)>

Outputs
#<alt -6>
#<alt (- (* 6 x) 6)>
#<alt (- (* 6 x) 6)>
#<alt (- (* 6 x) 6)>
#<alt (* 6 x)>
#<alt (* x (- 6 (* 6 (/ 1 x))))>
#<alt (* x (- 6 (* 6 (/ 1 x))))>
#<alt (* x (- 6 (* 6 (/ 1 x))))>
#<alt (* 6 x)>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))>
#<alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<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))))))>
#<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))))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))>
#<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))))))))>
#<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)))))))))>
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<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))))>
#<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))))>
#<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))))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>

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))

rewrite443.0ms (4.2%)

Memory

12.2MiB live, 602.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 996×	`accelerator-lowering-fma.f32`
6 996×	`accelerator-lowering-fma.f64`
5 704×	`-lowering-.f32`
5 704×	`-lowering-.f64`
4 836×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	62	32
2	519	32
0	8423	28

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 534

Calls

Call 1

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

simplify851.0ms (8.1%)

Memory

-23.0MiB live, 776.3MiB allocated

Algorithm

1×	egg-herbie

Rules

19 378×	`accelerator-lowering-fma.f32`
19 378×	`accelerator-lowering-fma.f64`
4 238×	`-lowering-.f32`
4 238×	`-lowering-.f64`
3 520×	`+-lowering-+.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 → 60

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)

eval160.0ms (1.5%)

Memory: 44.2MiB live, 119.7MiB allocated
Compiler: Compiled 17 667 to 1 743 computations (90.1% saved)

prune164.0ms (1.6%)

Memory

-26.4MiB live, 144.3MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	585	9	594
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	586	9	595

Accuracy

100.0%

Counts

595 → 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))
▶	52.5%	(/.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)))
▶	99.8%	(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)))
▶	49.9%	(/.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 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))))
	50.3%	(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))
	50.1%	(/.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)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 binary64))
▶	99.9%	(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64)))

Compiler

Compiled 222 to 174 computations (21.6% saved)

simplify117.0ms (1.1%)

Memory

-11.7MiB live, 105.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

1 216×	`accelerator-lowering-fma.f32`
1 216×	`accelerator-lowering-fma.f64`
688×	`-lowering-.f32`
688×	`-lowering-.f64`
416×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	186
1	53	186
2	81	186
3	92	186
4	140	186
5	237	186
6	384	186
7	724	186
8	1233	186
9	2136	186
10	2298	186
11	2312	186
12	2312	186
0	2312	167

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize293.0ms (2.8%)

Memory

30.1MiB live, 188.2MiB allocated

Localize:

Found 19 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 #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 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))))
✓	accuracy	99.9%	(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	100.0%	(-.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(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))) (fma.f64 #s(literal 4 binary64) (sqrt.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%	(sqrt.f64 x)
✓	accuracy	99.8%	(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 binary64))
✓	accuracy	99.9%	(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))))

Samples

68.0ms	237×	0	valid
59.0ms	6×	2	valid
5.0ms	13×	1	valid

Compiler

Compiled 175 to 27 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-div: 35.0ms (61.5% of total)

ival-add: 9.0ms (15.8% of total)

ival-mult: 8.0ms (14.1% of total)

ival-sqrt: 2.0ms (3.5% of total)

adjust: 1.0ms (1.8% of total)

ival-sub: 1.0ms (1.8% of total)

exact: 1.0ms (1.8% of total)

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

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

series153.0ms (1.5%)

Memory

-34.2MiB live, 44.1MiB allocated

Counts

16 → 192

Calls

Call 1

Inputs
#<alt (* (/ (+ x -1) (+ (* 4 (sqrt x)) (+ x 1))) 6)>
#<alt (/ (+ x -1) (+ (* 4 (sqrt x)) (+ x 1)))>
#<alt (+ x -1)>
#<alt (+ (* 4 (sqrt x)) (+ x 1))>
#<alt (/ 6 (+ (* (sqrt x) -4) -1))>
#<alt (+ (* (sqrt x) -4) -1)>
#<alt (sqrt x)>
#<alt (* 6 (- x 1))>
#<alt (/ (* 6 (- x 1)) (+ (* 4 (sqrt x)) 1))>
#<alt (- x 1)>
#<alt (+ (* 4 (sqrt x)) 1)>
#<alt (* (/ 6 (+ (* 4 (sqrt x)) (+ x 1))) (+ x -1))>
#<alt (/ 6 (+ (* 4 (sqrt x)) (+ x 1)))>
#<alt (/ (* 6 (- x 1)) (+ (+ (* 4 (sqrt x)) x) 1))>
#<alt (+ (+ (* 4 (sqrt x)) x) 1)>
#<alt (+ (* 4 (sqrt x)) x)>

Outputs
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))>
#<alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
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Calls

48 calls:

Time	Variable		Point	Expression
70.0ms	x	@	inf	(/ (+ x -1) (+ (* 4 (sqrt x)) (+ x 1)))
2.0ms	x	@	-inf	(/ (* 6 (- x 1)) (+ (* 4 (sqrt x)) 1))
1.0ms	x	@	inf	(/ (* 6 (- x 1)) (+ (* 4 (sqrt x)) 1))
1.0ms	x	@	0	(/ 6 (+ (* (sqrt x) -4) -1))
1.0ms	x	@	-inf	(/ (+ x -1) (+ (* 4 (sqrt x)) (+ x 1)))

rewrite477.0ms (4.5%)

Memory

26.0MiB live, 907.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 446×	`/-lowering-/.f32`
5 446×	`/-lowering-/.f64`
4 346×	`accelerator-lowering-fma.f32`
4 346×	`accelerator-lowering-fma.f64`
4 252×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	131
1	164	131
2	1455	131
0	8198	114

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 1 389

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (*.f64 #s(literal 6 binary64) x) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #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 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 6 binary64) x) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.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)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 6 binary64) x) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/6 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) (.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/6 binary64))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 #s(literal 6 binary64) x) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 (.f64 #s(literal 6 binary64) x) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 (-.f64 (.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 (/.f64 #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 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 (-.f64 (.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 (/.f64 #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 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #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) x) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(fma.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(fma.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) (/.f64 (*.f64 #s(literal 6 binary64) x) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(fma.f64 #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 -1 binary64)) (/.f64 (.f64 #s(literal 6 binary64) x) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(fma.f64 #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)))) x) (/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) x (/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 6 binary64) x) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(fma.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 #s(literal 6 binary64) x) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(fma.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 1/6 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 x (+.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 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(fma.f64 (*.f64 #s(literal 6 binary64) x) (/.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 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(fma.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 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(fma.f64 (*.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) (/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(fma.f64 (*.f64 #s(literal -6 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) (/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 x (sqrt.f64 x)) #s(literal -64 binary64)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (+.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 16 binary64))))) (/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) (/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 6 binary64) (-.f64 (.f64 x #s(literal 16 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x))) (/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 x (-.f64 (.f64 x #s(literal 16 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) x))) (/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) #s(literal 1 binary64))) (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) (/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 x (sqrt.f64 x)) #s(literal -64 binary64)))) (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.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 16 binary64))))) (/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal -1 binary64))) (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal -6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #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 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))))
(neg.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 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) (neg.f64 (/.f64 (+.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 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.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 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x #s(literal -1 binary64))) (.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/6 binary64))) (.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/6 binary64))) (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (fma.f64 x 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 (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 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 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) (.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 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) 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 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/6 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #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 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))) (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/6 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x #s(literal -1 binary64)))) (.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/6 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/6 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 #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))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (.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))) (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 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x #s(literal -1 binary64)))) (.f64 #s(literal -6 binary64) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))))
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simplify437.0ms (4.1%)

Memory

-1.2MiB live, 669.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 384×	`accelerator-lowering-fma.f32`
9 384×	`accelerator-lowering-fma.f64`
4 306×	`-lowering-.f32`
4 306×	`-lowering-.f64`
4 108×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	362	4468
1	1039	3961
2	3079	3780
0	8638	3431

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

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

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

eval306.0ms (2.9%)

Memory: 43.7MiB live, 538.1MiB allocated
Compiler: Compiled 51 466 to 3 209 computations (93.8% saved)

prune172.0ms (1.6%)

Memory

-17.0MiB live, 397.4MiB allocated

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	1 967	12	1 979
Fresh	2	2	4
Picked	2	3	5
Done	0	0	0
Total	1 971	17	1 988

Accuracy

100.0%

Counts

1 988 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.5%	(/.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 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)))
▶	4.6%	(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
▶	50.4%	(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)))
✓	49.9%	(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
▶	4.5%	(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
	52.5%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))))
	50.3%	(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))
	50.1%	(/.f64 #s(literal -6 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)))
	50.1%	(/.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)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 binary64))
	50.5%	(*.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 binary64))
	49.8%	(*.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)))
✓	99.9%	(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64)))
	4.5%	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
	4.4%	(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
▶	4.2%	(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))

Compiler

Compiled 314 to 253 computations (19.4% saved)

simplify8.0ms (0.1%)

Memory

-26.3MiB live, 11.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

32×	`-lowering-.f32`
32×	`-lowering-.f64`
28×	`+-lowering-+.f64`
28×	`+-lowering-+.f32`
22×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	123
1	38	121
2	51	121
3	53	121
0	53	111

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize79.0ms (0.7%)

Memory

37.6MiB live, 149.7MiB allocated

Localize:

Found 17 expressions of interest:

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

Samples

31.0ms	217×	0	valid
9.0ms	33×	1	valid
7.0ms	6×	2	valid

Compiler

Compiled 115 to 22 computations (80.9% saved)

Precisions

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

ival-div: 12.0ms (42.1% of total)

ival-mult: 7.0ms (24.6% of total)

ival-add: 5.0ms (17.5% of total)

ival-sqrt: 2.0ms (7% of total)

adjust: 1.0ms (3.5% of total)

exact: 1.0ms (3.5% of total)

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

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

series12.0ms (0.1%)

Memory

-17.6MiB live, 21.1MiB allocated

Counts

12 → 144

Calls

Call 1

Inputs
#<alt (/ (+ (* x 6) -6) (+ (+ (* 4 (sqrt x)) x) 1))>
#<alt (+ (* x 6) -6)>
#<alt (+ (+ (* 4 (sqrt x)) x) 1)>
#<alt (+ (* 4 (sqrt x)) x)>
#<alt (* (sqrt x) -3/2)>
#<alt (sqrt x)>
#<alt (/ 6 (* (sqrt x) -4))>
#<alt (* (sqrt x) -4)>
#<alt (/ (* x 6) (+ (* 4 (sqrt x)) 1))>
#<alt (* x 6)>
#<alt (+ (* 4 (sqrt x)) 1)>
#<alt (/ (* x 6) (+ (+ (* 4 (sqrt x)) x) 1))>

Outputs
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))>
#<alt (- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<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))))))>
#<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))))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<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)))))))>
#<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)))))>
#<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))))))>
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<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)))))>
#<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))))>
#<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))))>
#<alt -6>
#<alt (- (* 6 x) 6)>
#<alt (- (* 6 x) 6)>
#<alt (- (* 6 x) 6)>
#<alt (* 6 x)>
#<alt (* x (- 6 (* 6 (/ 1 x))))>
#<alt (* x (- 6 (* 6 (/ 1 x))))>
#<alt (* x (- 6 (* 6 (/ 1 x))))>
#<alt (* 6 x)>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* 4 (sqrt x))>
#<alt (+ x (* 4 (sqrt x)))>
#<alt (+ x (* 4 (sqrt x)))>
#<alt (+ x (* 4 (sqrt x)))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -3/2 (sqrt x))>
#<alt (* -3/2 (sqrt x))>
#<alt (* -3/2 (sqrt x))>
#<alt (* -3/2 (sqrt x))>
#<alt (* -3/2 (sqrt x))>
#<alt (* -3/2 (sqrt x))>
#<alt (* -3/2 (sqrt x))>
#<alt (* -3/2 (sqrt x))>
#<alt (* 3/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 3/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 3/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 3/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -4 (sqrt x))>
#<alt (* -4 (sqrt x))>
#<alt (* -4 (sqrt x))>
#<alt (* -4 (sqrt x))>
#<alt (* -4 (sqrt x))>
#<alt (* -4 (sqrt x))>
#<alt (* -4 (sqrt x))>
#<alt (* -4 (sqrt x))>
#<alt (* 4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 6 (/ x (+ 1 (* 4 (sqrt x)))))>
#<alt (* 6 (/ x (+ 1 (* 4 (sqrt x)))))>
#<alt (* 6 (/ x (+ 1 (* 4 (sqrt x)))))>
#<alt (* 6 (/ x (+ 1 (* 4 (sqrt x)))))>
#<alt (* 3/2 (sqrt x))>
#<alt (- (* 3/2 (sqrt x)) 3/8)>
#<alt (- (+ (* 3/32 (sqrt (/ 1 x))) (* 3/2 (sqrt x))) 3/8)>
#<alt (- (* 3/2 (sqrt x)) (+ 3/8 (+ (* -3/32 (sqrt (/ 1 x))) (* 3/128 (/ 1 x)))))>
#<alt (* -3/2 (sqrt x))>
#<alt (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2))))>
#<alt (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))>
#<alt (+ (* -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)))>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (* 4 (sqrt x))>
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* 6 (/ x (+ 1 (* 4 (sqrt x)))))>
#<alt (* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))))>
#<alt (* x (+ (* x (- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))))>
#<alt (* x (+ (* x (- (* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))>
#<alt (- (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))>
#<alt (- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* 6 (/ 1 (* (pow x 3) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))>
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (* -1 (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))))>
#<alt (- (* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt (- (* -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 (* (pow x 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* (sqrt x) -3/2)
1.0ms	x	@	-inf	(/ (* x 6) (+ (+ (* 4 (sqrt x)) x) 1))
1.0ms	x	@	-inf	(/ (+ (* x 6) -6) (+ (+ (* 4 (sqrt x)) x) 1))
1.0ms	x	@	-inf	(/ 6 (* (sqrt x) -4))
1.0ms	x	@	inf	(/ (+ (* x 6) -6) (+ (+ (* 4 (sqrt x)) x) 1))

rewrite343.0ms (3.2%)

Memory

-11.0MiB live, 443.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 910×	`-lowering-.f32`
4 910×	`-lowering-.f64`
4 660×	`/-lowering-/.f32`
4 660×	`/-lowering-/.f64`
4 420×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	80
1	112	78
2	844	78
0	8278	70

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 542

Calls

Call 1

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

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

simplify673.0ms (6.4%)

Memory

23.0MiB live, 653.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14 258×	`accelerator-lowering-fma.f32`
14 258×	`accelerator-lowering-fma.f64`
4 974×	`-lowering-.f32`
4 974×	`-lowering-.f64`
2 298×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	245	1922
1	714	1732
2	2080	1704
3	7503	1704
0	8264	1547

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

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

eval163.0ms (1.5%)

Memory: -23.8MiB live, 298.3MiB allocated
Compiler: Compiled 20 706 to 1 868 computations (91% saved)

prune153.0ms (1.5%)

Memory

7.1MiB live, 244.3MiB allocated

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	967	7	974
Fresh	2	7	9
Picked	2	3	5
Done	0	3	3
Total	971	20	991

Accuracy

100.0%

Counts

991 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	11.3%	(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64))
	8.5%	(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64))
▶	52.5%	(/.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 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)))
✓	50.4%	(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)))
	4.4%	(/.f64 (.f64 x #s(literal 6 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓	49.9%	(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
	50.3%	(/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
▶	52.5%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))))
▶	4.5%	(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
	50.1%	(/.f64 #s(literal -6 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)))
	50.1%	(/.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)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 binary64))
	50.5%	(*.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 binary64))
	49.8%	(*.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)))
✓	99.9%	(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64)))
	4.6%	(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) x)
▶	4.4%	(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
✓	4.2%	(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
▶	4.6%	(*.f64 #s(literal 6 binary64) (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))

Compiler

Compiled 328 to 262 computations (20.1% saved)

simplify8.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 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) #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	(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	(*.f64 #s(literal 6 binary64) (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal 3/2 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	(/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))))

Rules

76×	`-lowering-.f32`
76×	`-lowering-.f64`
36×	`accelerator-lowering-fma.f32`
36×	`accelerator-lowering-fma.f64`
22×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	122
1	31	122
2	44	118
3	69	118
4	99	118
5	111	118
6	111	118
0	111	105

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize147.0ms (1.4%)

Memory

-19.8MiB live, 97.6MiB allocated

Localize:

Found 16 expressions of interest:

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

Samples

41.0ms	217×	0	valid
8.0ms	33×	1	valid
2.0ms	6×	2	valid

Compiler

Compiled 109 to 21 computations (80.7% saved)

Precisions

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

ival-sqrt: 16.0ms (43.9% of total)

ival-div: 9.0ms (24.7% of total)

ival-mult: 7.0ms (19.2% of total)

ival-add: 3.0ms (8.2% of total)

adjust: 1.0ms (2.7% of total)

exact: 1.0ms (2.7% of total)

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

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

series10.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated

Counts

10 → 120

Calls

Call 1

Inputs
#<alt (/ 1 (/ (+ (* 4 (sqrt x)) 1) (+ (* x 6) -6)))>
#<alt (/ (+ (* 4 (sqrt x)) 1) (+ (* x 6) -6))>
#<alt (+ (* 4 (sqrt x)) 1)>
#<alt (sqrt x)>
#<alt (* (sqrt x) 3/2)>
#<alt (/ -3/2 (sqrt x))>
#<alt (* 6 (/ x (+ (* 4 (sqrt x)) 1)))>
#<alt (/ x (+ (* 4 (sqrt x)) 1))>
#<alt (/ (+ (* x 6) -6) (+ (* 4 (sqrt x)) 1))>
#<alt (+ (* x 6) -6)>

Outputs
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))>
#<alt (- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (* 3/2 (sqrt x))>
#<alt (- (+ (* -3/2 (sqrt (/ 1 x))) (* 3/2 (sqrt x))) 3/8)>
#<alt (- (+ (* -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)>
#<alt (- (+ (* -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))))))>
#<alt (* -3/2 (sqrt x))>
#<alt (- (+ (* -3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x)))) (/ -3/8 (pow (sqrt -1) 2)))>
#<alt (+ (* -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)))>
#<alt (+ (* -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)))>
#<alt (* -1/6 (+ 1 (* 4 (sqrt x))))>
#<alt (+ (* -1/6 (* x (+ 1 (* 4 (sqrt x))))) (* -1/6 (+ 1 (* 4 (sqrt x)))))>
#<alt (+ (* -1/6 (+ 1 (* 4 (sqrt x)))) (* x (- (* -1/6 (* x (+ 1 (* 4 (sqrt x))))) (* 1/6 (+ 1 (* 4 (sqrt x)))))))>
#<alt (+ (* -1/6 (+ 1 (* 4 (sqrt x)))) (* x (- (* x (- (* -1/6 (* x (+ 1 (* 4 (sqrt x))))) (* 1/6 (+ 1 (* 4 (sqrt x)))))) (* 1/6 (+ 1 (* 4 (sqrt x)))))))>
#<alt (* 2/3 (sqrt (/ 1 x)))>
#<alt (- (+ (* 2/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 x))) (* -2/3 (sqrt (/ 1 (pow x 3)))))>
#<alt (- (+ (* 2/3 (sqrt (/ 1 x))) (+ (/ 1/6 (pow x 2)) (* 1/6 (/ 1 x)))) (+ (* -2/3 (sqrt (/ 1 (pow x 3)))) (* -2/3 (sqrt (/ 1 (pow x 5))))))>
#<alt (- (+ (* 2/3 (sqrt (/ 1 x))) (+ (* 1/6 (/ 1 x)) (* 1/6 (/ 1 (pow x 3))))) (+ (* -1 (/ (- 1/6 (* -2/3 (sqrt (/ 1 x)))) (pow x 2))) (+ (* -2/3 (sqrt (/ 1 (pow x 3)))) (* -2/3 (sqrt (/ 1 (pow x 7)))))))>
#<alt (* -2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (- (+ (* -2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/6 (/ 1 x))) (* 2/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (- (+ (* -1 (- 1/6 (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 2/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* 1/6 (/ 1 x))) x)) (* -2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (- 1/6 (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) (* 1/6 (/ 1 x))) (* 2/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))) x)) (* -2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (* 4 (sqrt x))>
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 3/2 (sqrt x))>
#<alt (* 3/2 (sqrt x))>
#<alt (* 3/2 (sqrt x))>
#<alt (* 3/2 (sqrt x))>
#<alt (* 3/2 (sqrt x))>
#<alt (* 3/2 (sqrt x))>
#<alt (* 3/2 (sqrt x))>
#<alt (* 3/2 (sqrt x))>
#<alt (* -3/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* 6 (/ x (+ 1 (* 4 (sqrt x)))))>
#<alt (* 6 (/ x (+ 1 (* 4 (sqrt x)))))>
#<alt (* 6 (/ x (+ 1 (* 4 (sqrt x)))))>
#<alt (* 6 (/ x (+ 1 (* 4 (sqrt x)))))>
#<alt (* 3/2 (sqrt x))>
#<alt (- (* 3/2 (sqrt x)) 3/8)>
#<alt (- (+ (* 3/32 (sqrt (/ 1 x))) (* 3/2 (sqrt x))) 3/8)>
#<alt (- (* 3/2 (sqrt x)) (+ 3/8 (+ (* -3/32 (sqrt (/ 1 x))) (* 3/128 (/ 1 x)))))>
#<alt (* -3/2 (sqrt x))>
#<alt (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2))))>
#<alt (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))>
#<alt (+ (* -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)))>
#<alt (/ x (+ 1 (* 4 (sqrt x))))>
#<alt (/ x (+ 1 (* 4 (sqrt x))))>
#<alt (/ x (+ 1 (* 4 (sqrt x))))>
#<alt (/ x (+ 1 (* 4 (sqrt x))))>
#<alt (* 1/4 (sqrt x))>
#<alt (- (* 1/4 (sqrt x)) 1/16)>
#<alt (- (+ (* 1/64 (sqrt (/ 1 x))) (* 1/4 (sqrt x))) 1/16)>
#<alt (- (* 1/4 (sqrt x)) (+ 1/16 (+ (* -1/64 (sqrt (/ 1 x))) (* 1/256 (/ 1 x)))))>
#<alt (* -1/4 (sqrt x))>
#<alt (+ (* -1/4 (sqrt x)) (* 1/16 (/ 1 (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1/16 (/ x (pow (sqrt -1) 2))) (* 1/64 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (sqrt x)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* -1/256 (/ x (pow (sqrt -1) 4))) (* 1/64 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) x)) (* -1/4 (sqrt x)))>
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))>
#<alt (- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (* 3/2 (sqrt x))>
#<alt (- (+ (* -3/2 (sqrt (/ 1 x))) (* 3/2 (sqrt x))) 3/8)>
#<alt (- (+ (* -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)>
#<alt (- (+ (* -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))))))>
#<alt (* -3/2 (sqrt x))>
#<alt (- (+ (* -3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x)))) (/ -3/8 (pow (sqrt -1) 2)))>
#<alt (+ (* -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)))>
#<alt (+ (* -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)))>
#<alt -6>
#<alt (- (* 6 x) 6)>
#<alt (- (* 6 x) 6)>
#<alt (- (* 6 x) 6)>
#<alt (* 6 x)>
#<alt (* x (- 6 (* 6 (/ 1 x))))>
#<alt (* x (- 6 (* 6 (/ 1 x))))>
#<alt (* x (- 6 (* 6 (/ 1 x))))>
#<alt (* 6 x)>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))>

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/ (+ (* 4 (sqrt x)) 1) (+ (* x 6) -6))
1.0ms	x	@	-inf	(/ 1 (/ (+ (* 4 (sqrt x)) 1) (+ (* x 6) -6)))
1.0ms	x	@	inf	(/ 1 (/ (+ (* 4 (sqrt x)) 1) (+ (* x 6) -6)))
1.0ms	x	@	-inf	(/ (+ (* 4 (sqrt x)) 1) (+ (* x 6) -6))
0.0ms	x	@	inf	(/ (+ (* 4 (sqrt x)) 1) (+ (* x 6) -6))

rewrite748.0ms (7.1%)

Memory

7.6MiB live, 565.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 950×	`-lowering-.f32`
3 950×	`-lowering-.f64`
3 472×	`accelerator-lowering-fma.f32`
3 472×	`accelerator-lowering-fma.f64`
3 184×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	75
1	88	75
2	572	75
3	6128	75
0	8307	65

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 1 186

Calls

Call 1

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

Outputs
(+.f64 (*.f64 x (/.f64 #s(literal 6 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 (.f64 x (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))))
(+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 x (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal 6 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 x #s(literal -6 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (.f64 x #s(literal -6 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal 6 binary64)))
(+.f64 (.f64 (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 64 binary64) (.f64 x (sqrt.f64 x)) #s(literal 1 binary64))) (.f64 x #s(literal 16 binary64))) (.f64 (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x)) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 64 binary64) (.f64 x (sqrt.f64 x)) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) (.f64 (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 64 binary64) (.f64 x (sqrt.f64 x)) #s(literal 1 binary64))) (*.f64 x #s(literal 16 binary64))))
(+.f64 (.f64 (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 x (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 (*.f64 x (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) (.f64 x (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(+.f64 (.f64 (.f64 x #s(literal 16 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 64 binary64) (.f64 x (sqrt.f64 x)) #s(literal 1 binary64)))) (.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x)) #s(literal 1 binary64)))))
(+.f64 (.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 64 binary64) (.f64 x (sqrt.f64 x)) #s(literal 1 binary64)))) (.f64 (.f64 x #s(literal 16 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x)) #s(literal 1 binary64)))))
(+.f64 (.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)))))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (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 #s(literal 0 binary64) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #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) #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) (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 36 binary64) (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 #s(literal 36 binary64) (.f64 x x)) (.f64 (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 #s(literal 36 binary64) (.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 6 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))))
(fma.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 x (/.f64 #s(literal 6 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))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #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))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))))
(fma.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 x #s(literal 16 binary64) #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))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #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))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))))
(fma.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 x (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(fma.f64 (*.f64 x #s(literal 6 binary64)) (/.f64 #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))))
(fma.f64 (.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))))
(fma.f64 #s(literal -6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 x (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(fma.f64 #s(literal -6 binary64) (/.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))
(fma.f64 #s(literal -6 binary64) (/.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))))
(fma.f64 (/.f64 x (fma.f64 #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))))
(fma.f64 (/.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 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))))
(fma.f64 (.f64 x (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #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))))
(fma.f64 (neg.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal 6 binary64)) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))))
(fma.f64 (.f64 x #s(literal 16 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 64 binary64) (.f64 x (sqrt.f64 x)) #s(literal 1 binary64))) (.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 64 binary64) (.f64 x (sqrt.f64 x)) #s(literal 1 binary64)))))
(fma.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 64 binary64) (.f64 x (sqrt.f64 x)) #s(literal 1 binary64))) (.f64 (.f64 x #s(literal 16 binary64)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 64 binary64) (.f64 x (sqrt.f64 x)) #s(literal 1 binary64)))))
(fma.f64 (fma.f64 x #s(literal 16 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) (/.f64 (.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 64 binary64) (.f64 x (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 (fma.f64 x #s(literal 16 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) (/.f64 (.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 64 binary64) (.f64 x (sqrt.f64 x)) #s(literal 1 binary64))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))) (.f64 (/.f64 (.f64 #s(literal 36 binary64) (*.f64 x x)) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64)))) (.f64 (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))))) (fma.f64 x (/.f64 (*.f64 x #s(literal 36 binary64)) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64)) (.f64 #s(literal 46656 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -10077696 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 36 binary64)) #s(literal -36 binary64)) #s(literal 36 binary64)))) (fma.f64 #s(literal 46656 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 #s(literal 46656 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal -46656 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 46656 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -46656 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 36 binary64)) #s(literal -36 binary64)) #s(literal 36 binary64)))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 216 binary64) #s(literal 216 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 46656 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -46656 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64)))) (fma.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1296 binary64) #s(literal 1296 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1296 binary64)) (.f64 x x) #s(literal -1296 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64)))) (fma.f64 x (*.f64 x #s(literal 36 binary64)) #s(literal 36 binary64)))
(pow.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)))
(*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64) #s(literal -216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 36 binary64)) #s(literal -36 binary64)) #s(literal 36 binary64))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64) #s(literal -216 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 36 binary64)) #s(literal -36 binary64)) #s(literal 36 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64) #s(literal -216 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 36 binary64)) #s(literal -36 binary64)) #s(literal 36 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 36 binary64) (.f64 x x) #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))))
(.f64 (fma.f64 #s(literal 36 binary64) (.f64 x x) #s(literal -36 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 36 binary64) (.f64 x x) #s(literal -36 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))) #s(literal 1 binary64)))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64) #s(literal -216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 36 binary64)) #s(literal -36 binary64)) #s(literal 36 binary64)))))
(.f64 (neg.f64 (fma.f64 #s(literal 36 binary64) (.f64 x x) #s(literal -36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -6 binary64) #s(literal -6 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 36 binary64)) #s(literal -36 binary64)) #s(literal 36 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64) #s(literal -216 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))) (fma.f64 #s(literal 36 binary64) (.f64 x x) #s(literal -36 binary64)))
(.f64 (+.f64 #s(literal 36 binary64) (.f64 #s(literal -36 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (.f64 x #s(literal -6 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64) #s(literal -216 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 36 binary64)) #s(literal -36 binary64)) #s(literal 36 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 36 binary64) (.f64 x x) #s(literal -36 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 36 binary64) (.f64 x x) #s(literal -36 binary64)) (fma.f64 #s(literal 36 binary64) (*.f64 x x) #s(literal -36 binary64))) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64) #s(literal -216 binary64)) (fma.f64 (fma.f64 x #s(literal 36 binary64) #s(literal 36 binary64)) (.f64 (fma.f64 x #s(literal 36 binary64) #s(literal 36 binary64)) (fma.f64 x #s(literal 36 binary64) #s(literal 36 binary64))) (.f64 #s(literal 46656 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (fma.f64 (fma.f64 x #s(literal 36 binary64) #s(literal 36 binary64)) (-.f64 (fma.f64 x #s(literal 36 binary64) #s(literal 36 binary64)) (.f64 #s(literal 36 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) #s(literal 1296 binary64)) (.f64 x x))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64) #s(literal -216 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 36 binary64)) #s(literal -36 binary64)) #s(literal 36 binary64)) (+.f64 (fma.f64 #s(literal 36 binary64) (.f64 x x) #s(literal -36 binary64)) (.f64 x #s(literal -36 binary64))))) (+.f64 (fma.f64 #s(literal 36 binary64) (.f64 x x) #s(literal -36 binary64)) (*.f64 x #s(literal -36 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 36 binary64) (.f64 x x) #s(literal -36 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64) #s(literal 216 binary64))) (fma.f64 x (*.f64 x #s(literal 36 binary64)) (fma.f64 x #s(literal -36 binary64) #s(literal 36 binary64))))

simplify528.0ms (5%)

Memory

-30.9MiB live, 822.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14 476×	`accelerator-lowering-fma.f32`
14 476×	`accelerator-lowering-fma.f64`
5 016×	`-lowering-.f32`
5 016×	`-lowering-.f64`
2 542×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	233	1550
1	652	1332
2	2043	1223
3	7583	1217
0	8513	1114

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
(/ -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)))
(* -1/6 (+ 1 (* 4 (sqrt x))))
(+ (* -1/6 (* x (+ 1 (* 4 (sqrt x))))) (* -1/6 (+ 1 (* 4 (sqrt x)))))
(+ (* -1/6 (+ 1 (* 4 (sqrt x)))) (* x (- (* -1/6 (* x (+ 1 (* 4 (sqrt x))))) (* 1/6 (+ 1 (* 4 (sqrt x)))))))
(+ (* -1/6 (+ 1 (* 4 (sqrt x)))) (* x (- (* x (- (* -1/6 (* x (+ 1 (* 4 (sqrt x))))) (* 1/6 (+ 1 (* 4 (sqrt x)))))) (* 1/6 (+ 1 (* 4 (sqrt x)))))))
(* 2/3 (sqrt (/ 1 x)))
(- (+ (* 2/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 x))) (* -2/3 (sqrt (/ 1 (pow x 3)))))
(- (+ (* 2/3 (sqrt (/ 1 x))) (+ (/ 1/6 (pow x 2)) (* 1/6 (/ 1 x)))) (+ (* -2/3 (sqrt (/ 1 (pow x 3)))) (* -2/3 (sqrt (/ 1 (pow x 5))))))
(- (+ (* 2/3 (sqrt (/ 1 x))) (+ (* 1/6 (/ 1 x)) (* 1/6 (/ 1 (pow x 3))))) (+ (* -1 (/ (- 1/6 (* -2/3 (sqrt (/ 1 x)))) (pow x 2))) (+ (* -2/3 (sqrt (/ 1 (pow x 3)))) (* -2/3 (sqrt (/ 1 (pow x 7)))))))
(* -2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (* -2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/6 (/ 1 x))) (* 2/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (- (+ (* -1 (- 1/6 (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 2/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* 1/6 (/ 1 x))) x)) (* -2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1 (- 1/6 (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) (* 1/6 (/ 1 x))) (* 2/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))) x)) (* -2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ 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))))
(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 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)))
(* -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)))
(* 6 (/ x (+ 1 (* 4 (sqrt x)))))
(* 6 (/ x (+ 1 (* 4 (sqrt x)))))
(* 6 (/ x (+ 1 (* 4 (sqrt x)))))
(* 6 (/ x (+ 1 (* 4 (sqrt x)))))
(* 3/2 (sqrt x))
(- (* 3/2 (sqrt x)) 3/8)
(- (+ (* 3/32 (sqrt (/ 1 x))) (* 3/2 (sqrt x))) 3/8)
(- (* 3/2 (sqrt x)) (+ 3/8 (+ (* -3/32 (sqrt (/ 1 x))) (* 3/128 (/ 1 x)))))
(* -3/2 (sqrt x))
(+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2))))
(+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))
(+ (* -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 (+ 1 (* 4 (sqrt x))))
(/ x (+ 1 (* 4 (sqrt x))))
(/ x (+ 1 (* 4 (sqrt x))))
(/ x (+ 1 (* 4 (sqrt x))))
(* 1/4 (sqrt x))
(- (* 1/4 (sqrt x)) 1/16)
(- (+ (* 1/64 (sqrt (/ 1 x))) (* 1/4 (sqrt x))) 1/16)
(- (* 1/4 (sqrt x)) (+ 1/16 (+ (* -1/64 (sqrt (/ 1 x))) (* 1/256 (/ 1 x)))))
(* -1/4 (sqrt x))
(+ (* -1/4 (sqrt x)) (* 1/16 (/ 1 (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/16 (/ x (pow (sqrt -1) 2))) (* 1/64 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (sqrt x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* -1/256 (/ x (pow (sqrt -1) 4))) (* 1/64 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) x)) (* -1/4 (sqrt x)))
(/ -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)))
-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)))

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

eval263.0ms (2.5%)

Memory: 19.3MiB live, 563.6MiB allocated
Compiler: Compiled 36 901 to 3 022 computations (91.8% saved)

prune250.0ms (2.4%)

Memory

5.2MiB live, 449.8MiB allocated

Pruning

24 alts after pruning (14 fresh and 10 done)

	Pruned	Kept	Total
New	1 733	6	1 739
Fresh	1	8	9
Picked	1	4	5
Done	0	6	6
Total	1 735	24	1 759

Accuracy

100.0%

Counts

1 759 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	11.3%	(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64))
	8.5%	(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64))
✓	52.5%	(/.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 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)))
	7.1%	(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓	50.4%	(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)))
	4.4%	(/.f64 (.f64 x #s(literal 6 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓	49.9%	(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
	50.3%	(/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
	49.9%	(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -2/3 binary64) #s(literal -1/6 binary64)))
	49.9%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -6 binary64)))
	50.2%	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) #s(literal -2/3 binary64) #s(literal -1/6 binary64))))
✓	4.5%	(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
	50.1%	(/.f64 #s(literal -6 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)))
	50.1%	(/.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)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 binary64))
	50.5%	(*.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 binary64))
✓	99.9%	(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64)))
	4.6%	(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) x)
✓	4.4%	(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
✓	4.2%	(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
	8.5%	(*.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -1/4 binary64) #s(literal -1/16 binary64)))
✓	4.6%	(*.f64 #s(literal 6 binary64) (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
	4.4%	(.f64 #s(literal 6 binary64) (/.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))))

Compiler

Compiled 551 to 270 computations (51% saved)

regimes22.0ms (0.2%)

Memory

-1.8MiB live, 35.8MiB allocated

Counts

35 → 1

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 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))
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64))
(*.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -1/4 binary64) #s(literal -1/16 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 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -2/3 binary64) #s(literal -1/6 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) x) #s(literal 1 binary64)))
(.f64 #s(literal 6 binary64) (/.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (.f64 x #s(literal 6 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(*.f64 #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) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) x)
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 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 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) #s(literal -2/3 binary64) #s(literal -1/6 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 6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) 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 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) (+.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)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 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 #s(literal 1 binary64) (/.f64 (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 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #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))))
(/.f64 #s(literal 1 binary64) (/.f64 (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 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))))

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

Calls

2 calls:

12.0ms	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
99.9%	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)

regimes19.0ms (0.2%)

Memory

-11.8MiB live, 29.1MiB 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))
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64))
(*.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -1/4 binary64) #s(literal -1/16 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 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -2/3 binary64) #s(literal -1/6 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) x) #s(literal 1 binary64)))
(.f64 #s(literal 6 binary64) (/.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (.f64 x #s(literal 6 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(*.f64 #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) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) x)
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 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 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) #s(literal -2/3 binary64) #s(literal -1/6 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 6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) 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 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) (+.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) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64)))

Calls

2 calls:

12.0ms	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
99.9%	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)

regimes15.0ms (0.1%)

Memory

31.7MiB live, 31.7MiB allocated

Counts

25 → 1

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 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))
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64))
(*.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -1/4 binary64) #s(literal -1/16 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 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -2/3 binary64) #s(literal -1/6 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) x) #s(literal 1 binary64)))
(.f64 #s(literal 6 binary64) (/.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (.f64 x #s(literal 6 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(*.f64 #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) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) x)
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 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 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) #s(literal -2/3 binary64) #s(literal -1/6 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 6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) 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 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64)))

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

regimes42.0ms (0.4%)

Memory

-12.9MiB live, 25.7MiB allocated

Counts

24 → 1

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 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))
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64))
(*.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -1/4 binary64) #s(literal -1/16 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 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -2/3 binary64) #s(literal -1/6 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) x) #s(literal 1 binary64)))
(.f64 #s(literal 6 binary64) (/.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (.f64 x #s(literal 6 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(*.f64 #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) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) x)
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 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 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) #s(literal -2/3 binary64) #s(literal -1/6 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 6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) 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))

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:

33.0ms	(/.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))))
7.0ms	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)

regimes17.0ms (0.2%)

Memory

-7.9MiB live, 30.8MiB 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))
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64))
(*.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -1/4 binary64) #s(literal -1/16 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 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -2/3 binary64) #s(literal -1/6 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) x) #s(literal 1 binary64)))
(.f64 #s(literal 6 binary64) (/.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (.f64 x #s(literal 6 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(*.f64 #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) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) x)
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 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 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) #s(literal -2/3 binary64) #s(literal -1/6 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 6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) 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)))

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

Calls

2 calls:

10.0ms	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
98.3%	2	`x`
98.3%	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)

regimes13.0ms (0.1%)

Memory

-2.4MiB live, 36.0MiB allocated

Counts

19 → 1

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 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))
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64))
(*.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -1/4 binary64) #s(literal -1/16 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 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -2/3 binary64) #s(literal -1/6 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) x) #s(literal 1 binary64)))
(.f64 #s(literal 6 binary64) (/.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (.f64 x #s(literal 6 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(*.f64 #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) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) x)
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 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:

7.0ms	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
52.5%	1	`x`
52.5%	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)

regimes11.0ms (0.1%)

Memory

30.5MiB live, 30.5MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 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))
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64))
(*.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -1/4 binary64) #s(literal -1/16 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 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -2/3 binary64) #s(literal -1/6 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) x) #s(literal 1 binary64)))
(.f64 #s(literal 6 binary64) (/.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (.f64 x #s(literal 6 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(*.f64 #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) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) x)
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 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 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64))

Calls

2 calls:

6.0ms	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
52.5%	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))))`
52.5%	2	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes13.0ms (0.1%)

Memory

-17.0MiB live, 26.1MiB allocated

Counts

15 → 2

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 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))
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64))
(*.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -1/4 binary64) #s(literal -1/16 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 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -2/3 binary64) #s(literal -1/6 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) x) #s(literal 1 binary64)))
(.f64 #s(literal 6 binary64) (/.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (.f64 x #s(literal 6 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(*.f64 #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) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) x)

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

Calls

2 calls:

8.0ms	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
52.5%	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))))`
52.5%	2	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes8.0ms (0.1%)

Memory

-17.9MiB live, 21.8MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 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))
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64))
(*.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -1/4 binary64) #s(literal -1/16 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 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -2/3 binary64) #s(literal -1/6 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)))
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64))

Calls

2 calls:

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))))
4.0ms	x

Results

Accuracy	Segments	Branch
52.4%	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))))`
52.4%	2	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes7.0ms (0.1%)

Memory

19.6MiB live, 19.6MiB 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))
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64))
(*.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -1/4 binary64) #s(literal -1/16 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 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -2/3 binary64) #s(literal -1/6 binary64)))

Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -2/3 binary64) #s(literal -1/6 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 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
52.4%	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))))`
52.4%	2	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes7.0ms (0.1%)

Memory

-18.8MiB live, 20.4MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 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))
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64))
(*.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -1/4 binary64) #s(literal -1/16 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 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))

Outputs
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 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))))
3.0ms	x

Results

Accuracy	Segments	Branch
11.3%	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))))`
11.3%	1	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes4.0ms (0%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

3 → 2

Calls

Call 1

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

Outputs
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))

Calls

2 calls:

2.0ms	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
11.3%	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))))`
11.3%	2	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes3.0ms (0%)

Memory

7.9MiB live, 7.9MiB 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:

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
7.0%	2	`x`
7.0%	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

7.1MiB live, 7.1MiB 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
4.2%	1	`x`
4.2%	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

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.566445073380092	3.9600165689656555

Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch15.0ms (0.1%)

Memory

-9.4MiB live, 30.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.02389067984714037	69.7150101558216

Samples

8.0ms

128×

valid

Compiler

Compiled 170 to 143 computations (15.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sub: 1.0ms (19.4% of total)

ival-div: 1.0ms (19.4% of total)

ival-add: 1.0ms (19.4% of total)

ival-mult: 1.0ms (19.4% of total)

ival-sqrt: 1.0ms (19.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch18.0ms (0.2%)

Memory

-23.5MiB live, 28.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.02389067984714037	69.7150101558216

Samples

12.0ms

128×

valid

Compiler

Compiled 162 to 135 computations (16.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-sqrt: 5.0ms (54.7% of total)

ival-sub: 1.0ms (10.9% of total)

ival-div: 1.0ms (10.9% of total)

ival-add: 1.0ms (10.9% of total)

ival-mult: 1.0ms (10.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Memory

26.0MiB live, 26.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.02389067984714037	69.7150101558216

Samples

8.0ms

128×

valid

Compiler

Compiled 146 to 127 computations (13% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (37.8% of total)

ival-sub: 1.0ms (18.9% of total)

ival-div: 1.0ms (18.9% of total)

ival-add: 1.0ms (18.9% of total)

ival-sqrt: 1.0ms (18.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch33.0ms (0.3%)

Memory

-13.8MiB live, 25.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	0.02389067984714037	69.7150101558216

Samples

26.0ms

128×

valid

Compiler

Compiled 146 to 127 computations (13% saved)

Precisions

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

ival-mult: 20.0ms (84.5% of total)

ival-sub: 1.0ms (4.2% of total)

ival-div: 1.0ms (4.2% of total)

ival-add: 1.0ms (4.2% of total)

ival-sqrt: 1.0ms (4.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.566445073380092	3.9600165689656555

Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.566445073380092	3.9600165689656555

Compiler

Compiled 18 to 15 computations (16.7% saved)

simplify11.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`*-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	56	227
1	74	227
2	80	227
3	87	227
4	88	227

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 binary64))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) 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))
(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 -2 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 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 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)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64)))
(if (<=.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 3/2 binary64) #s(literal -3/8 binary64)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -2/3 binary64) #s(literal -1/6 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 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 -2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 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 -2 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)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 binary64))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) (+.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) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) 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)))
(/.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))
(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 -2 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 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))) #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 -2 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 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 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) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))) (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64)))
(if (<=.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 3/2 binary64) #s(literal -3/8 binary64)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -2/3 binary64) #s(literal -1/6 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 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 -2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 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 -2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 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 -2 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 -2 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))

soundness1.5s (14.2%)

Memory

-7.1MiB live, 1 103.7MiB allocated

Rules

19 378×	`accelerator-lowering-fma.f32`
19 378×	`accelerator-lowering-fma.f64`
14 476×	`accelerator-lowering-fma.f32`
14 476×	`accelerator-lowering-fma.f64`
14 258×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	131
1	164	131
2	1455	131
0	8198	114
0	362	4468
1	1039	3961
2	3079	3780
0	8638	3431
0	11	32
1	62	32
2	519	32
0	8423	28
0	233	1550
1	652	1332
2	2043	1223
3	7583	1217
0	8513	1114
0	245	1922
1	714	1732
2	2080	1704
3	7503	1704
0	8264	1547
0	131	940
1	372	865
2	1055	829
3	3184	747
0	8584	670

Stop Event

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

Compiler

Compiled 668 to 398 computations (40.4% saved)

preprocess144.0ms (1.4%)

Memory: -5.7MiB live, 310.5MiB allocated
Compiler: Compiled 516 to 154 computations (70.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

sample1.3s (12.5%)

preprocess108.0ms (1%)

explain144.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify52.0ms (0.5%)

localize38.0ms (0.4%)

series7.0ms (0.1%)

rewrite443.0ms (4.2%)

simplify851.0ms (8.1%)

eval160.0ms (1.5%)

prune164.0ms (1.6%)

simplify117.0ms (1.1%)

localize293.0ms (2.8%)

series153.0ms (1.5%)

rewrite477.0ms (4.5%)

simplify437.0ms (4.1%)

eval306.0ms (2.9%)

prune172.0ms (1.6%)

simplify8.0ms (0.1%)

localize79.0ms (0.7%)

series12.0ms (0.1%)

rewrite343.0ms (3.2%)

simplify673.0ms (6.4%)

eval163.0ms (1.5%)

prune153.0ms (1.5%)

simplify8.0ms (0.1%)

localize147.0ms (1.4%)

series10.0ms (0.1%)

rewrite748.0ms (7.1%)

simplify528.0ms (5%)

eval263.0ms (2.5%)

prune250.0ms (2.4%)

regimes22.0ms (0.2%)

regimes19.0ms (0.2%)

regimes15.0ms (0.1%)

regimes42.0ms (0.4%)

regimes17.0ms (0.2%)

regimes13.0ms (0.1%)

regimes11.0ms (0.1%)

regimes13.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch15.0ms (0.1%)

bsearch18.0ms (0.2%)

bsearch14.0ms (0.1%)

bsearch33.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify11.0ms (0.1%)

soundness1.5s (14.2%)

preprocess144.0ms (1.4%)

end0.0ms (0%)

Profiling