Metrics for Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, D

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
100%	50%	0%	0.1%	0%	50%	0%	2

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample919.0ms (9.9%)

Memory

35.9MiB live, 1 621.0MiB allocated

Samples

662.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 451.0ms

ival-sqrt: 127.0ms (28.1% of total)

ival-div: 117.0ms (25.9% of total)

ival-mult: 116.0ms (25.7% of total)

ival-sub: 73.0ms (16.2% of total)

exact: 10.0ms (2.2% of total)

ival-true: 6.0ms (1.3% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

preprocess164.0ms (1.8%)

Memory

-31.9MiB live, 130.3MiB allocated

Algorithm

2×	egg-herbie

Rules

736×	`accelerator-lowering-fma.f32`
736×	`accelerator-lowering-fma.f64`
552×	`times-frac`
400×	`-lowering-.f32`
400×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	92
1	86	76
2	255	74
3	691	74
4	1595	74
5	2912	74
6	3497	74
7	3604	74
8	3634	74
9	3638	74
10	3638	74
11	3642	74
0	12	14
1	26	12
2	64	12
3	140	12
4	262	12
5	501	12
6	999	12
7	1265	12
8	1354	12
9	1368	12
10	1371	12
0	1371	11

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))))

Outputs
(- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))))
(+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)))

Call 2

Inputs
(- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))))
(- (- 1 (/ 1 (* (neg x) 9))) (/ y (* 3 (sqrt (neg x)))))
(- (- 1 (/ 1 (* x 9))) (/ (neg y) (* 3 (sqrt x))))
(neg (- (- 1 (/ 1 (* (neg x) 9))) (/ y (* 3 (sqrt (neg x))))))
(neg (- (- 1 (/ 1 (* x 9))) (/ (neg y) (* 3 (sqrt x)))))
(- (- 1 (/ 1 (* y 9))) (/ x (* 3 (sqrt y))))

Outputs
(- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))))
(+ (- 1 (/ 1/9 x)) (/ (* y -1/3) (sqrt x)))
(- (- 1 (/ 1 (* (neg x) 9))) (/ y (* 3 (sqrt (neg x)))))
(+ (+ 1 (/ 1/9 x)) (/ (* y -1/3) (sqrt (neg x))))
(- (- 1 (/ 1 (* x 9))) (/ (neg y) (* 3 (sqrt x))))
(+ (- 1 (/ 1/9 x)) (/ (* y 1/3) (sqrt x)))
(neg (- (- 1 (/ 1 (* (neg x) 9))) (/ y (* 3 (sqrt (neg x))))))
(+ (/ (* y 1/3) (sqrt (neg x))) (+ (/ -1/9 x) -1))
(neg (- (- 1 (/ 1 (* x 9))) (/ (neg y) (* 3 (sqrt x)))))
(- (/ (* y -1/3) (sqrt x)) (- 1 (/ 1/9 x)))
(- (- 1 (/ 1 (* y 9))) (/ x (* 3 (sqrt y))))
(+ (+ 1 (/ -1/9 y)) (* -1/3 (/ x (sqrt y))))

explain140.0ms (1.5%)

Memory

9.6MiB live, 323.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))`
0	-	-	`(*.f64 #s(literal 3 binary64) (sqrt.f64 x))`
0	-	-	`(sqrt.f64 x)`
0	-	-	`#s(literal 3 binary64)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`#s(literal 9 binary64)`
0	-	-	`(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))`
0	-	-	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`
0	-	-	`y`
0	-	-	`(*.f64 x #s(literal 9 binary64))`
0	-	-	`(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))`
0	-	-	`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

48.0ms

512×

valid

Compiler

Compiled 128 to 52 computations (59.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-div: 12.0ms (40.6% of total)

ival-mult: 6.0ms (20.3% of total)

ival-sqrt: 6.0ms (20.3% of total)

ival-sub: 4.0ms (13.5% of total)

exact: 1.0ms (3.4% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Compiler

Compiled 16 to 12 computations (25% saved)

simplify64.0ms (0.7%)

Memory

8.4MiB live, 47.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
✓	cost-diff	192	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	cost-diff	384	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))

Rules

736×	`accelerator-lowering-fma.f32`
736×	`accelerator-lowering-fma.f64`
400×	`-lowering-.f32`
400×	`-lowering-.f64`
186×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	26	40
2	64	40
3	140	40
4	262	40
5	501	40
6	999	40
7	1265	40
8	1354	40
9	1368	40
10	1371	40
0	1371	39

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))))
(- 1 (/ 1 (* x 9)))
1
(/ 1 (* x 9))
(* x 9)
x
9
(/ y (* 3 (sqrt x)))
y
(* 3 (sqrt x))
3
(sqrt x)

Outputs
(- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))))
(+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)))
(- 1 (/ 1 (* x 9)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
1
#s(literal 1 binary64)
(/ 1 (* x 9))
(/.f64 #s(literal 1/9 binary64) x)
(* x 9)
(fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64))
x
9
#s(literal 9 binary64)
(/ y (* 3 (sqrt x)))
(/.f64 y (fma.f64 #s(literal 3 binary64) (sqrt.f64 x) #s(literal 0 binary64)))
y
(* 3 (sqrt x))
(fma.f64 #s(literal 3 binary64) (sqrt.f64 x) #s(literal 0 binary64))
3
#s(literal 3 binary64)
(sqrt x)
(sqrt.f64 x)

localize59.0ms (0.6%)

Memory

-19.8MiB live, 60.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
✓	accuracy	99.6%	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓	accuracy	99.6%	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))

Samples

23.0ms

256×

valid

Compiler

Compiled 48 to 14 computations (70.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 5.0ms (39.6% of total)

ival-mult: 3.0ms (23.8% of total)

ival-sub: 2.0ms (15.9% of total)

ival-sqrt: 2.0ms (15.9% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

5 → 84

Calls

Call 1

Inputs
#<alt (/ 1 (* x 9))>
#<alt (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))))>
#<alt (- 1 (/ 1 (* x 9)))>
#<alt (/ y (* 3 (sqrt x)))>
#<alt (* 3 (sqrt x))>

Outputs
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (/ -1/9 x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))))
1.0ms	x	@	0	(- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))))
1.0ms	x	@	-inf	(- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))))
1.0ms	x	@	-inf	(* 3 (sqrt x))
0.0ms	y	@	0	(/ y (* 3 (sqrt x)))

rewrite385.0ms (4.2%)

Memory

-0.6MiB live, 756.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 710×	`accelerator-lowering-fma.f32`
8 710×	`accelerator-lowering-fma.f64`
5 066×	`-lowering-.f32`
5 066×	`-lowering-.f64`
4 668×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	67	30
2	782	30
0	8398	29

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 383

Calls

Call 1

Inputs
(/ 1 (* x 9))
(- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))))
(- 1 (/ 1 (* x 9)))
(/ y (* 3 (sqrt x)))
(* 3 (sqrt x))

Outputs
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal 9 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
(/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -9 binary64))
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 x #s(literal 81 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64))
(.f64 (pow.f64 (.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))) (pow.f64 (.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 y y) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 y y) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))) (.f64 x (*.f64 #s(literal 27 binary64) (sqrt.f64 x)))))))
(+.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)))) (neg.f64 (/.f64 (.f64 y y) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x))) (.f64 x #s(literal 9 binary64))))))
(+.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))
(+.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))
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(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -3 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 y #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
(/.f64 (.f64 (.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(*.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(.f64 (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 y (.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(.f64 (-.f64 #s(literal 0 binary64) y) (.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 (.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(.f64 (.f64 y #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(.f64 (.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (-.f64 #s(literal 0 binary64) y))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 y #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 x))))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (.f64 y #s(literal -1/3 binary64)))
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(neg.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 #s(literal 3 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x))))
(*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -3 binary64))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) #s(literal 3 binary64))
(.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))

simplify255.0ms (2.8%)

Memory

-14.4MiB live, 311.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 056×	`accelerator-lowering-fma.f32`
7 056×	`accelerator-lowering-fma.f64`
2 398×	`-lowering-.f32`
2 398×	`-lowering-.f64`
1 324×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	624
1	126	624
2	301	623
3	774	623
4	1976	623
5	3973	623
6	5196	623
7	6355	623
8	7468	623
9	7854	623
0	8009	602

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))

Outputs
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 (sqrt.f64 x) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal -1/9 binary64)) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- x 1/9) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/ (- x 1/9) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/ (- x 1/9) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (sqrt x))
(fma.f64 (sqrt.f64 x) #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 (sqrt x))
(fma.f64 (sqrt.f64 x) #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 (sqrt x))
(fma.f64 (sqrt.f64 x) #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 (sqrt x))
(fma.f64 (sqrt.f64 x) #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 (sqrt x))
(fma.f64 (sqrt.f64 x) #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 (sqrt x))
(fma.f64 (sqrt.f64 x) #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 (sqrt x))
(fma.f64 (sqrt.f64 x) #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 (sqrt x))
(fma.f64 (sqrt.f64 x) #s(literal 3 binary64) #s(literal 0 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(fma.f64 (sqrt.f64 x) #s(literal 3 binary64) #s(literal 0 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(fma.f64 (sqrt.f64 x) #s(literal 3 binary64) #s(literal 0 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(fma.f64 (sqrt.f64 x) #s(literal 3 binary64) #s(literal 0 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(fma.f64 (sqrt.f64 x) #s(literal 3 binary64) #s(literal 0 binary64))

eval62.0ms (0.7%)

Memory: 13.8MiB live, 93.9MiB allocated
Compiler: Compiled 15 339 to 1 099 computations (92.8% saved)

prune119.0ms (1.3%)

Memory

-0.0MiB live, 120.8MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	453	14	467
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	454	14	468

Accuracy

100.0%

Counts

468 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
	99.7%	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
	99.6%	(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
▶	70.8%	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
	56.3%	(/.f64 (fma.f64 (sqrt.f64 x) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal -1/9 binary64)) x)
	82.1%	(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -81 binary64)))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	71.5%	(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal -9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64)))))) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	99.7%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	99.6%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 3 binary64) y)))
▶	99.6%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)))
▶	99.7%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
	99.6%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)))
	70.9%	(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶	63.7%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))

Compiler

Compiled 450 to 332 computations (26.2% saved)

simplify120.0ms (1.3%)

Memory

-6.4MiB live, 68.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
✓	cost-diff	192	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)))
✓	cost-diff	384	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
✓	cost-diff	1024	(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	192	(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
✓	cost-diff	0	(fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1/9 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
✓	cost-diff	0	(/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
✓	cost-diff	192	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
✓	cost-diff	384	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))

Rules

1 104×	`accelerator-lowering-fma.f32`
1 104×	`accelerator-lowering-fma.f64`
704×	`-lowering-.f32`
704×	`-lowering-.f64`
392×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	174
1	74	158
2	177	158
3	357	158
4	646	158
5	1286	158
6	2234	158
7	2637	158
8	2918	158
9	3140	158
10	3156	158
11	3156	158
12	3156	158
0	3156	153

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (- 1 (/ 1 (* x 9))) (/ (* y 1/3) (sqrt x)))
(- 1 (/ 1 (* x 9)))
1
(/ 1 (* x 9))
(* x 9)
x
9
(/ (* y 1/3) (sqrt x))
(* y 1/3)
y
1/3
(sqrt x)
(+ 1 (/ -1/9 x))
1
(/ -1/9 x)
-1/9
x
(+ (* (sqrt (/ 1 x)) (+ (* y -1/3) 0)) 1)
(sqrt (/ 1 x))
(/ 1 x)
1
x
(+ (* y -1/3) 0)
y
-1/3
0
(+ (* (/ 1 x) -1/9) (- 1 (/ y (* 3 (sqrt x)))))
(/ 1 x)
1
x
-1/9
(- 1 (/ y (* 3 (sqrt x))))
(/ y (* 3 (sqrt x)))
y
(* 3 (sqrt x))
3
(sqrt x)
(- (- 1 (/ 1 (* x 9))) (/ (/ 1/3 (sqrt x)) (/ 1 y)))
(- 1 (/ 1 (* x 9)))
1
(/ 1 (* x 9))
(* x 9)
x
9
(/ (/ 1/3 (sqrt x)) (/ 1 y))
(/ 1/3 (sqrt x))
1/3
(sqrt x)
(/ 1 y)
y

Outputs
(- (- 1 (/ 1 (* x 9))) (/ (* y 1/3) (sqrt x)))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- 1 (/ 1 (* x 9)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
1
#s(literal 1 binary64)
(/ 1 (* x 9))
(/.f64 #s(literal 1/9 binary64) x)
(* x 9)
(fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64))
x
9
#s(literal 9 binary64)
(/ (* y 1/3) (sqrt x))
(fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 0 binary64))
(* y 1/3)
(fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64))
y
1/3
#s(literal 1/3 binary64)
(sqrt x)
(sqrt.f64 x)
(+ 1 (/ -1/9 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
1
#s(literal 1 binary64)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
-1/9
#s(literal -1/9 binary64)
x
(+ (* (sqrt (/ 1 x)) (+ (* y -1/3) 0)) 1)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ (* y -1/3) 0)
(fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64))
y
-1/3
#s(literal -1/3 binary64)
0
#s(literal 0 binary64)
(+ (* (/ 1 x) -1/9) (- 1 (/ y (* 3 (sqrt x)))))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
-1/9
#s(literal -1/9 binary64)
(- 1 (/ y (* 3 (sqrt x))))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(/ y (* 3 (sqrt x)))
(fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 0 binary64))
y
(* 3 (sqrt x))
(fma.f64 (sqrt.f64 x) #s(literal 3 binary64) #s(literal 0 binary64))
3
#s(literal 3 binary64)
(sqrt x)
(sqrt.f64 x)
(- (- 1 (/ 1 (* x 9))) (/ (/ 1/3 (sqrt x)) (/ 1 y)))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- 1 (/ 1 (* x 9)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
1
#s(literal 1 binary64)
(/ 1 (* x 9))
(/.f64 #s(literal 1/9 binary64) x)
(* x 9)
(fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64))
x
9
#s(literal 9 binary64)
(/ (/ 1/3 (sqrt x)) (/ 1 y))
(fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 0 binary64))
(/ 1/3 (sqrt x))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
1/3
#s(literal 1/3 binary64)
(sqrt x)
(sqrt.f64 x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
y

localize180.0ms (1.9%)

Memory

15.2MiB live, 177.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
✓	accuracy	99.5%	(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	99.3%	(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.8%	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
✓	accuracy	99.6%	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓	accuracy	99.6%	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.7%	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
✓	accuracy	99.5%	(fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
✓	accuracy	99.5%	(/.f64 #s(literal -1/9 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
✓	accuracy	99.6%	(/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))
✓	accuracy	99.5%	(*.f64 y #s(literal 1/3 binary64))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))

Samples

85.0ms

256×

valid

Compiler

Compiled 178 to 35 computations (80.3% saved)

Precisions

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

ival-div: 31.0ms (49.8% of total)

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

const: 9.0ms (14.5% of total)

ival-add: 4.0ms (6.4% of total)

ival-sub: 4.0ms (6.4% of total)

ival-sqrt: 4.0ms (6.4% of total)

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

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

exact: 0.0ms (0% of total)

series29.0ms (0.3%)

Memory

-23.0MiB live, 15.5MiB allocated

Counts

19 → 324

Calls

Call 1

Inputs
#<alt (/ 1 (* x 9))>
#<alt (- (- 1 (/ 1 (* x 9))) (/ (* y 1/3) (sqrt x)))>
#<alt (- 1 (/ 1 (* x 9)))>
#<alt (/ (* y 1/3) (sqrt x))>
#<alt (+ 1 (/ -1/9 x))>
#<alt (/ -1/9 x)>
#<alt (+ (* (sqrt (/ 1 x)) (+ (* y -1/3) 0)) 1)>
#<alt (sqrt (/ 1 x))>
#<alt (/ 1 x)>
#<alt (+ (* y -1/3) 0)>
#<alt (+ (* (/ 1 x) -1/9) (- 1 (/ y (* 3 (sqrt x)))))>
#<alt (- 1 (/ y (* 3 (sqrt x))))>
#<alt (/ y (* 3 (sqrt x)))>
#<alt (/ (/ 1/3 (sqrt x)) (/ 1 y))>
#<alt (- (- 1 (/ 1 (* x 9))) (/ (/ 1/3 (sqrt x)) (/ 1 y)))>
#<alt (* y 1/3)>
#<alt (* 3 (sqrt x))>
#<alt (sqrt x)>
#<alt (/ 1/3 (sqrt x))>

Outputs
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (/ -1/9 x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (/ -1/9 x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))>
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))>
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)>
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)>
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* 1/3 y)>
#<alt (* 1/3 y)>
#<alt (* 1/3 y)>
#<alt (* 1/3 y)>
#<alt (* 1/3 y)>
#<alt (* 1/3 y)>
#<alt (* 1/3 y)>
#<alt (* 1/3 y)>
#<alt (* 1/3 y)>
#<alt (* 1/3 y)>
#<alt (* 1/3 y)>
#<alt (* 1/3 y)>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (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 (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>

Calls

81 calls:

Time	Variable		Point	Expression
20.0ms	x	@	-inf	(+ (* (sqrt (/ 1 x)) (+ (* y -1/3) 0)) 1)
1.0ms	x	@	-inf	(/ 1/3 (sqrt x))
0.0ms	y	@	-inf	(* y 1/3)
0.0ms	x	@	0	(/ -1/9 x)
0.0ms	y	@	inf	(* y 1/3)

rewrite717.0ms (7.8%)

Memory

29.1MiB live, 786.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 204×	`accelerator-lowering-fma.f32`
11 204×	`accelerator-lowering-fma.f64`
4 476×	`/-lowering-/.f32`
4 476×	`/-lowering-/.f64`
3 898×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	125
1	222	108
2	2688	108
0	9116	103

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1 770

Calls

Call 1

Inputs
(/ 1 (* x 9))
(- (- 1 (/ 1 (* x 9))) (/ (* y 1/3) (sqrt x)))
(- 1 (/ 1 (* x 9)))
(/ (* y 1/3) (sqrt x))
(+ 1 (/ -1/9 x))
(/ -1/9 x)
(+ (* (sqrt (/ 1 x)) (+ (* y -1/3) 0)) 1)
(sqrt (/ 1 x))
(/ 1 x)
(+ (* y -1/3) 0)
(+ (* (/ 1 x) -1/9) (- 1 (/ y (* 3 (sqrt x)))))
(- 1 (/ y (* 3 (sqrt x))))
(/ y (* 3 (sqrt x)))
(/ (/ 1/3 (sqrt x)) (/ 1 y))
(- (- 1 (/ 1 (* x 9))) (/ (/ 1/3 (sqrt x)) (/ 1 y)))
(* y 1/3)
(* 3 (sqrt x))
(sqrt x)
(/ 1/3 (sqrt x))

Outputs
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal 9 binary64)))))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x #s(literal -9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal -9 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -9 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 9 binary64))
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal 9 binary64))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (*.f64 x #s(literal -9 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 (pow.f64 (.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))))
(+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(+.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 #s(literal 1 binary64) (-.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) x)))
(-.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) (/.f64 (.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 y y) #s(literal 0 binary64)) x)))) (/.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/27 binary64) #s(literal 0 binary64)) (.f64 x (sqrt.f64 x))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 y y) #s(literal 0 binary64)) x)))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 y y) #s(literal 0 binary64)) x) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
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(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -3 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))

simplify522.0ms (5.7%)

Memory

-20.8MiB live, 605.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 898×	`accelerator-lowering-fma.f32`
6 898×	`accelerator-lowering-fma.f64`
3 724×	`-lowering-.f32`
3 724×	`-lowering-.f64`
2 954×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	2432
1	182	2397
2	450	2393
3	1169	2393
4	3693	2393
5	6003	2393
0	8085	2290

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

Inputs
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(* -1/3 (* (sqrt (/ 1 x)) y))
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
1
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
1
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* 1/3 y)
(* 1/3 y)
(* 1/3 y)
(* 1/3 y)
(* 1/3 y)
(* 1/3 y)
(* 1/3 y)
(* 1/3 y)
(* 1/3 y)
(* 1/3 y)
(* 1/3 y)
(* 1/3 y)
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (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)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))

Outputs
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
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(* 1/3 (sqrt (/ 1 x)))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(* 1/3 (sqrt (/ 1 x)))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(* 1/3 (sqrt (/ 1 x)))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(* 1/3 (sqrt (/ 1 x)))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(* 1/3 (sqrt (/ 1 x)))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))

eval318.0ms (3.4%)

Memory: 19.9MiB live, 718.1MiB allocated
Compiler: Compiled 49 880 to 2 792 computations (94.4% saved)

prune254.0ms (2.7%)

Memory

21.6MiB live, 514.0MiB allocated

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	2 245	18	2 263
Fresh	9	0	9
Picked	3	2	5
Done	0	0	0
Total	2 257	20	2 277

Accuracy

100.0%

Counts

2 277 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.8%	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
	70.8%	(fma.f64 (/.f64 y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
▶	35.0%	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
	63.7%	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
	70.9%	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
	70.8%	(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) #s(literal 1 binary64))
▶	70.8%	(fma.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/3 binary64) #s(literal 1 binary64))
	68.3%	(fma.f64 (sqrt.f64 x) (*.f64 y (/.f64 #s(literal -1/3 binary64) x)) #s(literal 1 binary64))
	56.3%	(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
	53.0%	(/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)))
	44.7%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x)))) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
	30.3%	(/.f64 #s(literal -1/9 binary64) x)
✓	99.7%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
	70.9%	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
▶	70.9%	(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
	35.0%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
	63.7%	(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
	63.7%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
✓	63.7%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
▶	35.0%	#s(literal 1 binary64)

Compiler

Compiled 381 to 286 computations (24.9% saved)

simplify25.0ms (0.3%)

Memory

-9.6MiB live, 28.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(fma.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/3 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(/.f64 y (sqrt.f64 x))
✓	cost-diff	0	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
✓	cost-diff	-64	(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
✓	cost-diff	192	(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))

Rules

200×	`accelerator-lowering-fma.f32`
200×	`accelerator-lowering-fma.f64`
144×	`-lowering-.f32`
144×	`-lowering-.f64`
128×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	81
1	39	81
2	65	81
3	91	81
4	122	81
5	157	81
6	198	81
7	263	81
8	322	81
9	374	81
10	414	81
11	431	81
12	439	81
13	456	81
14	457	81
0	457	78

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- 1 (/ y (* (sqrt x) 3)))
1
(/ y (* (sqrt x) 3))
y
(* (sqrt x) 3)
(sqrt x)
x
3
1
(+ (* (/ 1 x) 1/9) 1)
(/ 1 x)
1
x
1/9
(+ (* (/ y (sqrt x)) -1/3) 1)
(/ y (sqrt x))
y
(sqrt x)
x
-1/3
1
(+ (* (* y (sqrt (/ 1 x))) -1/3) 1)
(* y (sqrt (/ 1 x)))
y
(sqrt (/ 1 x))
(/ 1 x)
1
x
-1/3

Outputs
(- 1 (/ y (* (sqrt x) 3)))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ y (* (sqrt x) 3))
(/.f64 y (fma.f64 (sqrt.f64 x) #s(literal 3 binary64) #s(literal 0 binary64)))
y
(* (sqrt x) 3)
(fma.f64 (sqrt.f64 x) #s(literal 3 binary64) #s(literal 0 binary64))
(sqrt x)
(sqrt.f64 x)
x
3
#s(literal 3 binary64)
1
#s(literal 1 binary64)
(+ (* (/ 1 x) 1/9) 1)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
1/9
#s(literal 1/9 binary64)
(+ (* (/ y (sqrt x)) -1/3) 1)
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(/ y (sqrt x))
(/.f64 y (sqrt.f64 x))
y
(sqrt x)
(sqrt.f64 x)
x
-1/3
#s(literal -1/3 binary64)
1
#s(literal 1 binary64)
(+ (* (* y (sqrt (/ 1 x))) -1/3) 1)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* y (sqrt (/ 1 x)))
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
y
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
-1/3
#s(literal -1/3 binary64)

localize121.0ms (1.3%)

Memory

18.7MiB live, 136.8MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.7%	(fma.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/3 binary64) #s(literal 1 binary64))
✓	accuracy	99.6%	(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
✓	accuracy	99.5%	(/.f64 y (sqrt.f64 x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.8%	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.6%	(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
✓	accuracy	99.6%	(*.f64 (sqrt.f64 x) #s(literal 3 binary64))

Samples

72.0ms

256×

valid

Compiler

Compiled 82 to 22 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 23.0ms (39.9% of total)

const: 21.0ms (36.4% of total)

ival-div: 5.0ms (8.7% of total)

ival-sqrt: 4.0ms (6.9% of total)

ival-add: 3.0ms (5.2% of total)

ival-sub: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series42.0ms (0.5%)

Memory

-32.0MiB live, 6.5MiB allocated

Counts

11 → 204

Calls

Call 1

Inputs
#<alt (- 1 (/ y (* (sqrt x) 3)))>
#<alt (/ y (* (sqrt x) 3))>
#<alt (sqrt x)>
#<alt (* (sqrt x) 3)>
#<alt (+ (* (/ 1 x) 1/9) 1)>
#<alt (/ 1 x)>
#<alt (+ (* (/ y (sqrt x)) -1/3) 1)>
#<alt (/ y (sqrt x))>
#<alt (+ (* (* y (sqrt (/ 1 x))) -1/3) 1)>
#<alt (sqrt (/ 1 x))>
#<alt (* y (sqrt (/ 1 x)))>

Outputs
#<alt 1>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))>
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))>
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)>
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)>
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<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 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (/ 1/9 x)>
#<alt (/ (+ 1/9 x) x)>
#<alt (/ (+ 1/9 x) x)>
#<alt (/ (+ 1/9 x) x)>
#<alt 1>
#<alt (+ 1 (* 1/9 (/ 1 x)))>
#<alt (+ 1 (* 1/9 (/ 1 x)))>
#<alt (+ 1 (* 1/9 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* 1/9 (/ 1 x)))>
#<alt (+ 1 (* 1/9 (/ 1 x)))>
#<alt (+ 1 (* 1/9 (/ 1 x)))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt 1>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt 1>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))>

Calls

51 calls:

Time	Variable		Point	Expression
38.0ms	y	@	0	(- 1 (/ y (* (sqrt x) 3)))
0.0ms	y	@	-inf	(/ y (sqrt x))
0.0ms	x	@	-inf	(+ (* (/ y (sqrt x)) -1/3) 1)
0.0ms	x	@	-inf	(+ (* (/ 1 x) 1/9) 1)
0.0ms	x	@	0	(+ (* (/ 1 x) 1/9) 1)

rewrite505.0ms (5.5%)

Memory

-30.9MiB live, 435.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 686×	`accelerator-lowering-fma.f32`
5 686×	`accelerator-lowering-fma.f64`
3 976×	`-lowering-.f32`
3 976×	`-lowering-.f64`
2 670×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	56
1	107	55
2	709	55
0	9444	52

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 503

Calls

Call 1

Inputs
(- 1 (/ y (* (sqrt x) 3)))
(/ y (* (sqrt x) 3))
(sqrt x)
(* (sqrt x) 3)
(+ (* (/ 1 x) 1/9) 1)
(/ 1 x)
(+ (* (/ y (sqrt x)) -1/3) 1)
(/ y (sqrt x))
(+ (* (* y (sqrt (/ 1 x))) -1/3) 1)
(sqrt (/ 1 x))
(* y (sqrt (/ 1 x)))

Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
(+.f64 (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
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(+.f64 (/.f64 (/.f64 (.f64 y y) (.f64 x #s(literal 9 binary64))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))
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(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
(-.f64 #s(literal 0 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
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(fma.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (sqrt.f64 x))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64))
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(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (.f64 y y) (.f64 x #s(literal 9 binary64))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (/.f64 (/.f64 (.f64 y y) (.f64 x #s(literal 9 binary64))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))) (+.f64 (/.f64 (/.f64 (.f64 y y) (.f64 x #s(literal 9 binary64))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/27 binary64) (.f64 x (sqrt.f64 x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (/.f64 #s(literal 1/9 binary64) x) y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(literal 1 binary64))))
(.f64 (fma.f64 y (.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))
(.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 y y) (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/27 binary64) (.f64 x (sqrt.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (/.f64 #s(literal 1/9 binary64) x) y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(fabs.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) x))))
(pow.f64 x #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/4 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) x))))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (sqrt.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) (-.f64 #s(literal 0 binary64) (/.f64 y (sqrt.f64 x))))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (sqrt.f64 x))))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (sqrt.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) y))
(/.f64 y (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 x) y)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (sqrt.f64 x))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 y (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1/2 binary64)))
(.f64 (.f64 y (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))

simplify359.0ms (3.9%)

Memory

23.5MiB live, 379.6MiB allocated

Algorithm

1×	egg-herbie

Rules

3 368×	`accelerator-lowering-fma.f32`
3 368×	`accelerator-lowering-fma.f64`
3 280×	`-lowering-.f32`
3 280×	`-lowering-.f64`
2 368×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	1421
1	115	1373
2	264	1369
3	650	1369
4	1914	1369
5	5440	1369
6	7318	1369
0	8280	1309

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
1
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(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 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(/ 1/9 x)
(/ (+ 1/9 x) x)
(/ (+ 1/9 x) x)
(/ (+ 1/9 x) x)
1
(+ 1 (* 1/9 (/ 1 x)))
(+ 1 (* 1/9 (/ 1 x)))
(+ 1 (* 1/9 (/ 1 x)))
1
(+ 1 (* 1/9 (/ 1 x)))
(+ 1 (* 1/9 (/ 1 x)))
(+ 1 (* 1/9 (/ 1 x)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
1
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
1
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
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(fma.f64 #s(literal -1/3 binary64) (/.f64 (fma.f64 y (sqrt.f64 x) #s(literal 0 binary64)) x) #s(literal 1 binary64))
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(fma.f64 #s(literal -1/3 binary64) (/.f64 (fma.f64 y (sqrt.f64 x) #s(literal 0 binary64)) x) #s(literal 1 binary64))
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(fma.f64 #s(literal -1/3 binary64) (/.f64 (fma.f64 y (sqrt.f64 x) #s(literal 0 binary64)) x) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal 0 binary64))
(* (sqrt (/ 1 x)) y)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal 0 binary64))
(* (sqrt (/ 1 x)) y)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal 0 binary64))
(* (sqrt (/ 1 x)) y)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal 0 binary64))
(* (sqrt (/ 1 x)) y)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal 0 binary64))
(* (sqrt (/ 1 x)) y)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal 0 binary64))
(* (sqrt (/ 1 x)) y)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal 0 binary64))
(* (sqrt (/ 1 x)) y)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal 0 binary64))
(* (sqrt (/ 1 x)) y)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal 0 binary64))
(* (sqrt (/ 1 x)) y)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal 0 binary64))
(* (sqrt (/ 1 x)) y)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal 0 binary64))
(* (sqrt (/ 1 x)) y)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal 0 binary64))
(* (sqrt (/ 1 x)) y)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal 0 binary64))
(* (sqrt (/ 1 x)) y)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal 0 binary64))
(* (sqrt (/ 1 x)) y)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal 0 binary64))
(* (sqrt (/ 1 x)) y)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal 0 binary64))
(* (sqrt (/ 1 x)) y)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal 0 binary64))
(* (sqrt (/ 1 x)) y)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal 0 binary64))
(* (sqrt (/ 1 x)) y)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal 0 binary64))
(* (sqrt (/ 1 x)) y)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal 0 binary64))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))

eval116.0ms (1.3%)

Memory: -1.4MiB live, 235.5MiB allocated
Compiler: Compiled 11 322 to 825 computations (92.7% saved)

prune60.0ms (0.6%)

Memory

8.2MiB live, 167.4MiB allocated

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	763	3	766
Fresh	1	12	13
Picked	0	5	5
Done	0	2	2
Total	764	22	786

Accuracy

100.0%

Counts

786 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.8%	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
✓	35.0%	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
▶	63.7%	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
▶	70.9%	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
▶	70.8%	(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) #s(literal 1 binary64))
✓	70.8%	(fma.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/3 binary64) #s(literal 1 binary64))
	68.3%	(fma.f64 (sqrt.f64 x) (*.f64 y (/.f64 #s(literal -1/3 binary64) x)) #s(literal 1 binary64))
	61.6%	(fma.f64 #s(literal -1/3 binary64) (/.f64 (fma.f64 y (sqrt.f64 x) #s(literal 0 binary64)) x) #s(literal 1 binary64))
	56.3%	(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
	53.0%	(/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)))
	44.7%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x)))) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
	2.8%	(/.f64 #s(literal 1/9 binary64) x)
▶	30.3%	(/.f64 #s(literal -1/9 binary64) x)
✓	99.7%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
▶	70.9%	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
✓	70.9%	(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
	70.8%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)))
	35.0%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
	63.7%	(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
	63.7%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
✓	63.7%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
✓	35.0%	#s(literal 1 binary64)

Compiler

Compiled 372 to 280 computations (24.7% saved)

simplify15.0ms (0.2%)

Memory

-11.2MiB live, 30.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 y #s(literal 1/3 binary64))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
✓	cost-diff	384	(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
✓	cost-diff	0	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1/9 binary64) x)
✓	cost-diff	-64	(*.f64 y #s(literal 1/3 binary64))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))
✓	cost-diff	192	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))

Rules

124×	`accelerator-lowering-fma.f32`
124×	`accelerator-lowering-fma.f64`
88×	`-lowering-.f32`
88×	`-lowering-.f64`
72×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	79
1	41	79
2	72	79
3	106	79
4	132	79
5	165	79
6	190	79
7	221	79
8	257	79
9	263	79
0	263	76

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- 1 (/ (* y 1/3) (sqrt x)))
1
(/ (* y 1/3) (sqrt x))
(* y 1/3)
y
1/3
(sqrt x)
x
(/ -1/9 x)
-1/9
x
(+ (* (/ 1 x) -1/9) 1)
(/ 1 x)
1
x
-1/9
(+ (* (/ -1/3 (sqrt x)) y) 1)
(/ -1/3 (sqrt x))
-1/3
(sqrt x)
x
y
1
(+ (* (/ -1 (sqrt x)) (* y 1/3)) 1)
(/ -1 (sqrt x))
-1
(sqrt x)
x
(* y 1/3)
y
1/3
1

Outputs
(- 1 (/ (* y 1/3) (sqrt x)))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ (* y 1/3) (sqrt x))
(/.f64 (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) (sqrt.f64 x))
(* y 1/3)
(fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64))
y
1/3
#s(literal 1/3 binary64)
(sqrt x)
(sqrt.f64 x)
x
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
-1/9
#s(literal -1/9 binary64)
x
(+ (* (/ 1 x) -1/9) 1)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
-1/9
#s(literal -1/9 binary64)
(+ (* (/ -1/3 (sqrt x)) y) 1)
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(/ -1/3 (sqrt x))
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
-1/3
#s(literal -1/3 binary64)
(sqrt x)
(sqrt.f64 x)
x
y
1
#s(literal 1 binary64)
(+ (* (/ -1 (sqrt x)) (* y 1/3)) 1)
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(/ -1 (sqrt x))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
-1
#s(literal -1 binary64)
(sqrt x)
(sqrt.f64 x)
x
(* y 1/3)
(fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64))
y
1/3
#s(literal 1/3 binary64)
1
#s(literal 1 binary64)

localize79.0ms (0.9%)

Memory

5.9MiB live, 201.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) #s(literal 1 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
✓	accuracy	99.5%	(*.f64 y #s(literal 1/3 binary64))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.8%	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
✓	accuracy	99.3%	(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.8%	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
✓	accuracy	99.5%	(/.f64 #s(literal -1/9 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.6%	(/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))
✓	accuracy	99.5%	(*.f64 y #s(literal 1/3 binary64))

Samples

51.0ms

256×

valid

Compiler

Compiled 82 to 23 computations (72% saved)

Precisions

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

const: 13.0ms (36.1% of total)

ival-div: 10.0ms (27.8% of total)

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

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

ival-sqrt: 2.0ms (5.6% of total)

ival-sub: 1.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

11 → 180

Calls

Call 1

Inputs
#<alt (- 1 (/ (* y 1/3) (sqrt x)))>
#<alt (/ (* y 1/3) (sqrt x))>
#<alt (sqrt x)>
#<alt (* y 1/3)>
#<alt (/ -1/9 x)>
#<alt (+ (* (/ 1 x) -1/9) 1)>
#<alt (/ 1 x)>
#<alt (+ (* (/ -1/3 (sqrt x)) y) 1)>
#<alt (/ -1/3 (sqrt x))>
#<alt (+ (* (/ -1 (sqrt x)) (* y 1/3)) 1)>
#<alt (/ -1 (sqrt x))>

Outputs
#<alt 1>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))>
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))>
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)>
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)>
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<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 (* 1/3 y)>
#<alt (* 1/3 y)>
#<alt (* 1/3 y)>
#<alt (* 1/3 y)>
#<alt (* 1/3 y)>
#<alt (* 1/3 y)>
#<alt (* 1/3 y)>
#<alt (* 1/3 y)>
#<alt (* 1/3 y)>
#<alt (* 1/3 y)>
#<alt (* 1/3 y)>
#<alt (* 1/3 y)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt 1>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt 1>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (sqrt (/ 1 x)))>
#<alt (* -1 (sqrt (/ 1 x)))>
#<alt (* -1 (sqrt (/ 1 x)))>
#<alt (* -1 (sqrt (/ 1 x)))>
#<alt (* -1 (sqrt (/ 1 x)))>
#<alt (* -1 (sqrt (/ 1 x)))>
#<alt (* -1 (sqrt (/ 1 x)))>
#<alt (* -1 (sqrt (/ 1 x)))>
#<alt (* -1 (sqrt (/ 1 x)))>
#<alt (* -1 (sqrt (/ 1 x)))>
#<alt (* -1 (sqrt (/ 1 x)))>
#<alt (* -1 (sqrt (/ 1 x)))>

Calls

45 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ -1 (sqrt x))
0.0ms	x	@	-inf	(/ -1/3 (sqrt x))
0.0ms	x	@	0	(/ -1/3 (sqrt x))
0.0ms	x	@	-inf	(/ -1 (sqrt x))
0.0ms	x	@	inf	(/ -1/3 (sqrt x))

rewrite398.0ms (4.3%)

Memory

-19.1MiB live, 788.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 796×	`accelerator-lowering-fma.f32`
9 796×	`accelerator-lowering-fma.f64`
4 918×	`-lowering-.f32`
4 918×	`-lowering-.f64`
2 520×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	54
1	115	54
2	901	54
0	9350	51

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 578

Calls

Call 1

Inputs
(- 1 (/ (* y 1/3) (sqrt x)))
(/ (* y 1/3) (sqrt x))
(sqrt x)
(* y 1/3)
(/ -1/9 x)
(+ (* (/ 1 x) -1/9) 1)
(/ 1 x)
(+ (* (/ -1/3 (sqrt x)) y) 1)
(/ -1/3 (sqrt x))
(+ (* (/ -1 (sqrt x)) (* y 1/3)) 1)
(/ -1 (sqrt x))

Outputs
(+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))))
(+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))
(+.f64 (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(+.f64 (/.f64 (.f64 y (.f64 y (/.f64 #s(literal 1/9 binary64) x))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (fma.f64 y (/.f64 #s(literal 1/9 binary64) x) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/27 binary64) (.f64 x (sqrt.f64 x)))) (fma.f64 y (fma.f64 y (/.f64 #s(literal 1/9 binary64) x) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 y (.f64 y (/.f64 #s(literal 1/9 binary64) x))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 0 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 y (.f64 y (/.f64 #s(literal 1/9 binary64) x))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (fma.f64 y (/.f64 #s(literal 1/9 binary64) x) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/27 binary64) (.f64 x (sqrt.f64 x)))) (fma.f64 y (fma.f64 y (/.f64 #s(literal 1/9 binary64) x) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (/.f64 (.f64 y (.f64 y (/.f64 #s(literal 1/9 binary64) x))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y (fma.f64 y (/.f64 #s(literal 1/9 binary64) x) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/27 binary64) (.f64 x (sqrt.f64 x)))) (fma.f64 y (fma.f64 y (/.f64 #s(literal 1/9 binary64) x) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 y (.f64 y (/.f64 #s(literal 1/9 binary64) x))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 y (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 (/.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(fma.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (.f64 y #s(literal -1/3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 y (.f64 y (/.f64 #s(literal 1/9 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))
(fma.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (/.f64 #s(literal -1/9 binary64) x)))) (neg.f64 (/.f64 (.f64 y (.f64 y (/.f64 #s(literal 1/9 binary64) x))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))))
(fma.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal 1/9 binary64) x) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/27 binary64) (.f64 x (sqrt.f64 x))) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 y (*.f64 y (/.f64 #s(literal 1/9 binary64) x))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 y (*.f64 y (/.f64 #s(literal 1/9 binary64) x))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))))
(fma.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal 1/3 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -1/3 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1/3 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 y #s(literal 1/3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 y #s(literal 1/3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 (/.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)) y #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(neg.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
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(.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/27 binary64) (.f64 x (sqrt.f64 x))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y (fma.f64 y (/.f64 #s(literal 1/9 binary64) x) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) #s(literal -1 binary64))))
(*.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))
(.f64 (fma.f64 y (.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 y (*.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/27 binary64) (.f64 x (sqrt.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (/.f64 #s(literal 1/9 binary64) x) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) #s(literal -1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
(pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))

simplify1.4s (15.1%)

Memory

7.0MiB live, 1 725.1MiB allocated

Algorithm

1×	egg-herbie

Rules

47 912×	`accelerator-lowering-fma.f32`
47 912×	`accelerator-lowering-fma.f64`
4 928×	`-lowering-.f32`
4 928×	`-lowering-.f64`
2 058×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	1181
1	108	1181
2	230	1181
3	426	1181
4	1058	1181
5	2368	1181
6	3667	1181
7	4070	1181
8	4277	1181
9	4444	1181
10	4446	1181
11	5194	1181
12	5528	1181
13	5530	1181
14	5530	1181
15	5530	1181
16	5606	1181
17	5777	1181
18	5845	1181
19	5863	1181
20	5863	1181
21	6891	1181
0	8339	1121

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
1
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(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)))
(* 1/3 y)
(* 1/3 y)
(* 1/3 y)
(* 1/3 y)
(* 1/3 y)
(* 1/3 y)
(* 1/3 y)
(* 1/3 y)
(* 1/3 y)
(* 1/3 y)
(* 1/3 y)
(* 1/3 y)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -1/3 (* (sqrt (/ 1 x)) y))
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
1
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
1
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(fma.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal 0 binary64)) #s(literal 1 binary64))
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(fma.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal 0 binary64)) #s(literal 1 binary64))
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(fma.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal 0 binary64)) #s(literal 1 binary64))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 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)
(* 1/3 y)
(fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64))
(* 1/3 y)
(fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64))
(* 1/3 y)
(fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64))
(* 1/3 y)
(fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64))
(* 1/3 y)
(fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64))
(* 1/3 y)
(fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64))
(* 1/3 y)
(fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64))
(* 1/3 y)
(fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64))
(* 1/3 y)
(fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64))
(* 1/3 y)
(fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64))
(* 1/3 y)
(fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64))
(* 1/3 y)
(fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- x 1/9) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/ (- x 1/9) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/ (- x 1/9) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(fma.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal 0 binary64)) #s(literal 1 binary64))
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(fma.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal 0 binary64)) #s(literal 1 binary64))
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(fma.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(* -1/3 (sqrt (/ 1 x)))
(fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(* -1/3 (sqrt (/ 1 x)))
(fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(* -1/3 (sqrt (/ 1 x)))
(fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(* -1/3 (sqrt (/ 1 x)))
(fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(* -1/3 (sqrt (/ 1 x)))
(fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(* -1/3 (sqrt (/ 1 x)))
(fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(* -1/3 (sqrt (/ 1 x)))
(fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(* -1/3 (sqrt (/ 1 x)))
(fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(* -1/3 (sqrt (/ 1 x)))
(fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(* -1/3 (sqrt (/ 1 x)))
(fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(* -1/3 (sqrt (/ 1 x)))
(fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(* -1/3 (sqrt (/ 1 x)))
(fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(fma.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal 0 binary64)) #s(literal 1 binary64))
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(fma.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal 0 binary64)) #s(literal 1 binary64))
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(fma.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) y #s(literal 0 binary64)) #s(literal 1 binary64))
(* -1 (sqrt (/ 1 x)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (sqrt (/ 1 x)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (sqrt (/ 1 x)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (sqrt (/ 1 x)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (sqrt (/ 1 x)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (sqrt (/ 1 x)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (sqrt (/ 1 x)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (sqrt (/ 1 x)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (sqrt (/ 1 x)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (sqrt (/ 1 x)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (sqrt (/ 1 x)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (sqrt (/ 1 x)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

eval103.0ms (1.1%)

Memory: 17.3MiB live, 246.7MiB allocated
Compiler: Compiled 12 056 to 822 computations (93.2% saved)

prune73.0ms (0.8%)

Memory

-14.3MiB live, 183.0MiB allocated

Pruning

23 alts after pruning (11 fresh and 12 done)

	Pruned	Kept	Total
New	843	3	846
Fresh	2	8	10
Picked	0	5	5
Done	0	7	7
Total	845	23	868

Accuracy

100.0%

Counts

868 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.8%	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
✓	35.0%	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
✓	63.7%	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
✓	70.9%	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
✓	70.8%	(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) #s(literal 1 binary64))
✓	70.8%	(fma.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/3 binary64) #s(literal 1 binary64))
	68.3%	(fma.f64 (sqrt.f64 x) (*.f64 y (/.f64 #s(literal -1/3 binary64) x)) #s(literal 1 binary64))
	68.3%	(fma.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal 0 binary64)) #s(literal 1 binary64))
	56.3%	(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
	53.0%	(/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)))
	44.7%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x)))) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
	30.4%	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
	2.8%	(/.f64 #s(literal 1/9 binary64) x)
✓	30.3%	(/.f64 #s(literal -1/9 binary64) x)
✓	99.7%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
✓	70.9%	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
✓	70.9%	(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
	70.8%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)))
	35.0%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
	63.7%	(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
✓	63.7%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
	30.3%	(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
✓	35.0%	#s(literal 1 binary64)

Compiler

Compiled 620 to 284 computations (54.2% saved)

regimes39.0ms (0.4%)

Memory

4.3MiB live, 83.9MiB allocated

Counts

39 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 (sqrt.f64 x) (*.f64 y (/.f64 #s(literal -1/3 binary64) x)) #s(literal 1 binary64))
(fma.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/3 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (sqrt.f64 x) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (/.f64 (fma.f64 y (sqrt.f64 x) #s(literal 0 binary64)) x) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal 0 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)))
(fma.f64 (/.f64 y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 3 binary64) y)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x)))) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -81 binary64)))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal -9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64)))))) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Calls

3 calls:

14.0ms	y
13.0ms	x
10.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes28.0ms (0.3%)

Memory

33.5MiB live, 72.0MiB allocated

Counts

30 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 (sqrt.f64 x) (*.f64 y (/.f64 #s(literal -1/3 binary64) x)) #s(literal 1 binary64))
(fma.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/3 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (sqrt.f64 x) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (/.f64 (fma.f64 y (sqrt.f64 x) #s(literal 0 binary64)) x) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal 0 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)))
(fma.f64 (/.f64 y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))

Outputs
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))

Calls

3 calls:

10.0ms	x
8.0ms	y
8.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Results

Accuracy	Segments	Branch
99.7%	1	`y`
99.7%	1	`x`
99.7%	1	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes30.0ms (0.3%)

Memory

-12.7MiB live, 68.7MiB allocated

Counts

29 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 (sqrt.f64 x) (*.f64 y (/.f64 #s(literal -1/3 binary64) x)) #s(literal 1 binary64))
(fma.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/3 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (sqrt.f64 x) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (/.f64 (fma.f64 y (sqrt.f64 x) #s(literal 0 binary64)) x) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal 0 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)))
(fma.f64 (/.f64 y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))

Outputs
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))

Calls

3 calls:

11.0ms	x
10.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
8.0ms	y

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes27.0ms (0.3%)

Memory

-18.5MiB live, 59.0MiB allocated

Counts

26 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 (sqrt.f64 x) (*.f64 y (/.f64 #s(literal -1/3 binary64) x)) #s(literal 1 binary64))
(fma.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/3 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (sqrt.f64 x) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (/.f64 (fma.f64 y (sqrt.f64 x) #s(literal 0 binary64)) x) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal 0 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)))
(fma.f64 (/.f64 y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))

Outputs
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Calls

3 calls:

9.0ms	x
9.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
7.0ms	y

Results

Accuracy	Segments	Branch
99.2%	2	`x`
98.3%	3	`y`
95.9%	2	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes11.0ms (0.1%)

Memory

28.8MiB live, 28.8MiB allocated

Counts

16 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))

Outputs

(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))

(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))

(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Calls

2 calls:

5.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
98.3%	3	`y`
86.6%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

-27.3MiB live, 11.6MiB allocated

Counts

13 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))

Outputs

(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))

(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))

(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
98.2%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

34.0MiB live, 34.0MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))

Outputs
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))

Calls

3 calls:

4.0ms	y
4.0ms	x
4.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

Results

Accuracy	Segments	Branch
63.7%	1	`x`
63.7%	1	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`
63.7%	1	`y`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes16.0ms (0.2%)

Memory

-22.5MiB live, 26.9MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))

Outputs
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))

Calls

3 calls:

4.0ms	x
3.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
3.0ms	y

Results

Accuracy	Segments	Branch
63.7%	1	`y`
63.7%	1	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`
63.7%	1	`x`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes8.0ms (0.1%)

Memory

-24.5MiB live, 14.4MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)

Outputs
(/.f64 #s(literal -1/9 binary64) x)
#s(literal 1 binary64)

Calls

3 calls:

4.0ms	y
2.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
2.0ms	x

Results

Accuracy	Segments	Branch
38.8%	2	`y`
63.8%	2	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`
63.3%	2	`x`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes4.0ms (0%)

Memory

10.8MiB live, 10.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

3 calls:

1.0ms	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
35.0%	1	`y`
35.0%	1	`x`
35.0%	1	`(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch17.0ms (0.2%)

Memory

-6.8MiB live, 30.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.0013655569063096911	18.35180080964719

Samples

8.0ms

128×

valid

Compiler

Compiled 203 to 161 computations (20.7% saved)

Precisions

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

ival-div: 2.0ms (36.5% of total)

ival-mult: 2.0ms (36.5% of total)

ival-sub: 1.0ms (18.3% of total)

ival-sqrt: 1.0ms (18.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Memory

31.9MiB live, 31.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	6.016215016750048e+40	1.4556081784137928e+48
3.0ms	-6.384832272777584e+86	-5.313289226956957e+86

Samples

11.0ms

176×

valid

Compiler

Compiled 250 to 204 computations (18.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 2.0ms (27% of total)

ival-mult: 2.0ms (27% of total)

ival-sub: 1.0ms (13.5% of total)

ival-sqrt: 1.0ms (13.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch23.0ms (0.3%)

Memory

-4.1MiB live, 33.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	6.016215016750048e+40	1.4556081784137928e+48
3.0ms	-6.384832272777584e+86	-5.313289226956957e+86

Samples

15.0ms

176×

valid

Compiler

Compiled 239 to 193 computations (19.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sub: 5.0ms (45.9% of total)

ival-div: 2.0ms (18.4% of total)

ival-mult: 2.0ms (18.4% of total)

ival-sqrt: 1.0ms (9.2% 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

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-80.36688452726591	0.7910938112742366

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify17.0ms (0.2%)

Memory

-18.8MiB live, 23.7MiB allocated

Algorithm

1×	egg-herbie

Rules

50×	`neg-mul-1_binary64`
42×	`unsub-neg_binary64`
40×	`*-commutative_binary64`
30×	`+-commutative_binary64`
26×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	140
1	67	140
2	83	140
3	107	140
4	127	140
5	169	140
6	231	140
7	237	140

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) (/.f64 (fma.f64 (sqrt.f64 x) (.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 y #s(literal -550000000000000021850375070452307741903035367879611187505453877284161110663179966349312 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 8000000000000000359085701424607334284394496 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal -9 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))))
(if (<=.f64 y #s(literal -599999999999999953564446364080413519103978894502589415958294694938785377250495139151872 binary64)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64)) (if (<=.f64 y #s(literal 849999999999999956139328173708086055649935360 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(literal -50 binary64)) (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) (/.f64 (fma.f64 (sqrt.f64 x) (.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 y #s(literal -550000000000000021850375070452307741903035367879611187505453877284161110663179966349312 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 8000000000000000359085701424607334284394496 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal -9 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))))
(if (<=.f64 y #s(literal -599999999999999953564446364080413519103978894502589415958294694938785377250495139151872 binary64)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64)) (if (<=.f64 y #s(literal 849999999999999956139328173708086055649935360 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(literal -50 binary64)) (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
(if (<=.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(literal -50 binary64)) (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.3s (14.1%)

Memory

8.8MiB live, 731.2MiB allocated

Rules

11 204×	`accelerator-lowering-fma.f32`
11 204×	`accelerator-lowering-fma.f64`
8 710×	`accelerator-lowering-fma.f32`
8 710×	`accelerator-lowering-fma.f64`
7 056×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	67	30
2	782	30
0	8398	29
0	33	125
1	222	108
2	2688	108
0	9116	103
0	53	624
1	126	624
2	301	623
3	774	623
4	1976	623
5	3973	623
6	5196	623
7	6355	623
8	7468	623
9	7854	623
0	8009	602
0	73	2432
1	182	2397
2	450	2393
3	1169	2393
4	3693	2393
5	6003	2393
0	8085	2290

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

Compiler

Compiled 327 to 186 computations (43.1% saved)

preprocess66.0ms (0.7%)

Memory: 15.9MiB live, 135.8MiB allocated
Compiler: Compiled 374 to 144 computations (61.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	20	81
1	39	81
2	65	81
3	91	81
4	122	81
5	157	81
6	198	81
7	263	81
8	322	81
9	374	81
10	414	81
11	431	81
12	439	81
13	456	81
14	457	81
0	457	78

Iter	Nodes	Cost
0	21	79
1	41	79
2	72	79
3	106	79
4	132	79
5	165	79
6	190	79
7	221	79
8	257	79
9	263	79
0	263	76

Iter	Nodes	Cost
0	20	81
1	39	81
2	65	81
3	91	81
4	122	81
5	157	81
6	198	81
7	263	81
8	322	81
9	374	81
10	414	81
11	431	81
12	439	81
13	456	81
14	457	81
0	457	78

Iter	Nodes	Cost
0	21	79
1	41	79
2	72	79
3	106	79
4	132	79
5	165	79
6	190	79
7	221	79
8	257	79
9	263	79
0	263	76

analyze0.0ms (0%)

sample919.0ms (9.9%)

preprocess164.0ms (1.8%)

explain140.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify64.0ms (0.7%)

localize59.0ms (0.6%)

series9.0ms (0.1%)

rewrite385.0ms (4.2%)

simplify255.0ms (2.8%)

eval62.0ms (0.7%)

prune119.0ms (1.3%)

simplify120.0ms (1.3%)

localize180.0ms (1.9%)

series29.0ms (0.3%)

rewrite717.0ms (7.8%)

simplify522.0ms (5.7%)

eval318.0ms (3.4%)

prune254.0ms (2.7%)

simplify25.0ms (0.3%)

localize121.0ms (1.3%)

series42.0ms (0.5%)

rewrite505.0ms (5.5%)

simplify359.0ms (3.9%)

eval116.0ms (1.3%)

prune60.0ms (0.6%)

simplify15.0ms (0.2%)

localize79.0ms (0.9%)

series4.0ms (0%)

rewrite398.0ms (4.3%)

simplify1.4s (15.1%)

eval103.0ms (1.1%)

prune73.0ms (0.8%)

regimes39.0ms (0.4%)

regimes28.0ms (0.3%)

regimes30.0ms (0.3%)

regimes27.0ms (0.3%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

regimes12.0ms (0.1%)

regimes16.0ms (0.2%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

bsearch17.0ms (0.2%)

bsearch20.0ms (0.2%)

bsearch23.0ms (0.3%)

bsearch0.0ms (0%)

simplify17.0ms (0.2%)

soundness1.3s (14.1%)

preprocess66.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	20	81
1	39	81
2	65	81
3	91	81
4	122	81
5	157	81
6	198	81
7	263	81
8	322	81
9	374	81
10	414	81
11	431	81
12	439	81
13	456	81
14	457	81
0	457	78

Iter	Nodes	Cost
0	21	79
1	41	79
2	72	79
3	106	79
4	132	79
5	165	79
6	190	79
7	221	79
8	257	79
9	263	79
0	263	76