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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample1.3s (13.1%)

Memory

36.9MiB live, 1 399.9MiB allocated

Samples

830.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 530.0ms

ival-div: 166.0ms (31.3% of total)

ival-sub: 125.0ms (23.6% of total)

ival-sqrt: 110.0ms (20.7% of total)

ival-mult: 109.0ms (20.6% of total)

exact: 11.0ms (2.1% of total)

ival-true: 6.0ms (1.1% of total)

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

Bogosity

preprocess199.0ms (2%)

Memory

-21.5MiB live, 102.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	78
1	80	64
2	237	62
3	650	62
4	1488	62
5	2867	62
6	3479	62
7	3590	62
8	3622	62
9	3626	62
10	3626	62
11	3630	62
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)))

explain238.0ms (2.4%)

Memory

26.4MiB live, 266.3MiB 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

106.0ms

512×

valid

Compiler

Compiled 128 to 52 computations (59.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-sub: 30.0ms (45.5% of total)

ival-mult: 23.0ms (34.9% of total)

ival-div: 7.0ms (10.6% of total)

ival-sqrt: 4.0ms (6.1% of total)

exact: 1.0ms (1.5% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune16.0ms (0.2%)

Memory

-37.9MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(-.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)

simplify102.0ms (1%)

Memory

10.1MiB live, 89.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 9 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
✓	cost-diff	128	(-.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	320	(/.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)
(*.f64 x #s(literal 9 binary64))
x
9
#s(literal 9 binary64)
(/ y (* 3 (sqrt x)))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
y
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
3
#s(literal 3 binary64)
(sqrt x)
(sqrt.f64 x)

localize109.0ms (1.1%)

Memory

-14.3MiB live, 78.6MiB 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	99.5%	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))

Samples

22.0ms

256×

valid

Compiler

Compiled 48 to 14 computations (70.8% saved)

Precisions

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

ival-div: 4.0ms (34.2% of total)

ival-mult: 3.0ms (25.6% of total)

ival-sub: 2.0ms (17.1% of total)

ival-sqrt: 2.0ms (17.1% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

23.3MiB live, 23.3MiB allocated

Counts

6 → 96

Calls

Call 1

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

Calls

24 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)))

rewrite483.0ms (4.9%)

Memory

-19.6MiB live, 651.4MiB 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	39
1	67	33
2	782	33
0	8398	32

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 427

Calls

Call 1

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

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

simplify242.0ms (2.5%)

Memory

41.9MiB live, 435.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 662×	`accelerator-lowering-fma.f32`
7 662×	`accelerator-lowering-fma.f64`
2 338×	`-lowering-.f32`
2 338×	`-lowering-.f64`
1 352×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	660
1	129	660
2	304	659
3	778	659
4	1976	659
5	3988	659
6	5217	659
7	6399	659
8	7521	659
9	7907	659
0	8011	638

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

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)))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 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))
(* -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)))
(* 1/3 (* (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))

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

eval81.0ms (0.8%)

Memory: -40.7MiB live, 179.1MiB allocated
Compiler: Compiled 16 132 to 1 283 computations (92% saved)

prune66.0ms (0.7%)

Memory

13.9MiB live, 214.3MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	509	14	523
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	509	15	524

Accuracy

100.0%

Counts

524 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(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)))))
	99.6%	(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)))
▶	99.6%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
▶	63.7%	(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
	67.2%	(-.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))))
	99.5%	(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -2 binary64))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	99.6%	(-.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))))
	99.5%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶	99.5%	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 x) #s(literal -3 binary64)) (.f64 (sqrt.f64 x) #s(literal -3 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 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 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)))
	71.3%	(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶	61.1%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
	40.3%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64)))

Compiler

Compiled 460 to 326 computations (29.1% saved)

simplify304.0ms (3.1%)

Memory

-27.9MiB live, 572.7MiB 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 (.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
✓	cost-diff	128	(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 x) #s(literal -3 binary64)) (.f64 (sqrt.f64 x) #s(literal -3 binary64))))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	cost-diff	320	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
✓	cost-diff	1920	(.f64 (.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
✓	cost-diff	0	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(-.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	(*.f64 y #s(literal -1/3 binary64))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
✓	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 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(/.f64 y (sqrt.f64 x))
✓	cost-diff	0	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))

Rules

9 388×	`accelerator-lowering-fma.f32`
9 388×	`accelerator-lowering-fma.f64`
2 132×	`-lowering-.f32`
2 132×	`-lowering-.f64`
1 668×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	163
1	70	155
2	149	153
3	336	153
4	677	153
5	1496	153
6	2142	153
7	2651	153
8	2937	153
9	3446	153
10	4589	153
11	6007	153
12	6965	153
0	8197	147

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize136.0ms (1.4%)

Memory

1.7MiB live, 318.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
✓	accuracy	99.6%	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
✓	accuracy	99.3%	(.f64 (.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 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	99.7%	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓	accuracy	99.6%	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.8%	(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64))
✓	accuracy	99.6%	(*.f64 y #s(literal -1/3 binary64))
✓	accuracy	95.9%	(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
✓	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%	(sqrt.f64 x)
✓	accuracy	99.9%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
✓	accuracy	99.7%	(/.f64 y (sqrt.f64 x))
✓	accuracy	99.5%	(/.f64 #s(literal -1/9 binary64) x)

Samples

52.0ms	223×	0	valid
36.0ms	33×	5	exit

Compiler

Compiled 183 to 30 computations (83.6% saved)

Precisions

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

ival-div: 15.0ms (24.3% of total)

ival-mult: 14.0ms (22.7% of total)

const: 8.0ms (13% of total)

adjust: 7.0ms (11.4% of total)

ival-add: 7.0ms (11.4% of total)

ival-sub: 6.0ms (9.7% of total)

ival-sqrt: 4.0ms (6.5% of total)

exact: 0.0ms (0% of total)

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

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

series15.0ms (0.1%)

Memory

34.0MiB live, 34.0MiB allocated

Counts

18 → 312

Calls

Call 1

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

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

78 calls:

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

rewrite473.0ms (4.8%)

Memory

5.0MiB live, 874.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

14 530×	`accelerator-lowering-fma.f32`
14 530×	`accelerator-lowering-fma.f64`
3 826×	`/-lowering-/.f32`
3 826×	`/-lowering-/.f64`
3 402×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	115
1	196	108
2	2158	108
0	8508	102

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1 004

Calls

Call 1

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

Outputs
(+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (neg.f64 (/.f64 #s(literal -1/9 binary64) x)))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (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 #s(literal -1/9 binary64) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(+.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(+.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.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)) (neg.f64 (/.f64 #s(literal -1/9 binary64) x))))
(-.f64 #s(literal 1 binary64) (-.f64 (neg.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 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.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 (/.f64 (.f64 y y) (.f64 x #s(literal 9 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 (+.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 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 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 (.f64 y y) (.f64 x #s(literal 9 binary64)))))) (/.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (sqrt.f64 x)) #s(literal 27 binary64))) (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 (.f64 y y) (.f64 x #s(literal 9 binary64)))))))
(-.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 (.f64 y y) (*.f64 x #s(literal 9 binary64))) (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 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 x) #s(literal 3 binary64))) (.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 (.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) y) (.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
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(fma.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/9 binary64) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/9 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -3 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 9 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 (*.f64 #s(literal 9 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (pow.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 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) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x)) #s(literal -1 binary64)) #s(literal -1/3 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x)))))))
(/.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 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.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)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/9 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/9 binary64)) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/9 binary64))) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/9 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x))) (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x))) (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x))) (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1/729 binary64) (.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (fma.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal 1 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 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (sqrt.f64 x)) #s(literal 27 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 9 binary64) (.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.f64 #s(literal 3 binary64) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal 3 binary64) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 #s(literal -3 binary64) (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))

simplify509.0ms (5.2%)

Memory

-15.9MiB live, 510.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 630×	`accelerator-lowering-fma.f32`
7 630×	`accelerator-lowering-fma.f64`
3 894×	`-lowering-.f32`
3 894×	`-lowering-.f64`
1 946×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	2320
1	310	2320
2	896	2308
3	2411	2308
4	6589	2308
0	8304	2187

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

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

eval261.0ms (2.7%)

Memory: 30.7MiB live, 453.6MiB allocated
Compiler: Compiled 41 774 to 2 291 computations (94.5% saved)

prune209.0ms (2.1%)

Memory

-35.8MiB live, 211.3MiB allocated

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	1 673	15	1 688
Fresh	4	5	9
Picked	3	2	5
Done	1	0	1
Total	1 681	22	1 703

Accuracy

100.0%

Counts

1 703 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.0%	(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
▶	32.8%	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
	61.1%	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
	99.6%	(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)))
	61.0%	(fma.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) #s(literal 1 binary64))
▶	99.6%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
	71.3%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
✓	63.7%	(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
	45.7%	(/.f64 (fma.f64 x (.f64 (.f64 #s(literal -1/3 binary64) y) (.f64 #s(literal -1/3 binary64) y)) #s(literal -1/81 binary64)) (.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal 1/9 binary64))))
▶	47.8%	(/.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)))
	36.2%	(/.f64 (.f64 #s(literal -1/3 binary64) (.f64 y (sqrt.f64 x))) x)
	30.0%	(/.f64 #s(literal -1/9 binary64) x)
	99.6%	(-.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))))
▶	71.3%	(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	32.8%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
	61.0%	(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
	61.1%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
✓	61.1%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
	46.0%	(.f64 (/.f64 (fma.f64 x (.f64 (.f64 #s(literal -1/3 binary64) y) (.f64 #s(literal -1/3 binary64) y)) #s(literal -1/81 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal 1/9 binary64))) #s(literal 1 binary64)))
	40.3%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64)))
▶	32.8%	#s(literal 1 binary64)

Compiler

Compiled 498 to 366 computations (26.5% saved)

simplify289.0ms (2.9%)

Memory

19.7MiB live, 292.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 1/81 binary64) (*.f64 x x))
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64))
✓	cost-diff	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)))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	cost-diff	0	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	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	(sqrt.f64 x)
✓	cost-diff	0	(/.f64 y (sqrt.f64 x))
✓	cost-diff	0	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
✓	cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))

Rules

9 006×	`accelerator-lowering-fma.f32`
9 006×	`accelerator-lowering-fma.f64`
4 098×	`-lowering-.f32`
4 098×	`-lowering-.f64`
1 836×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	118
1	57	110
2	90	110
3	135	110
4	206	110
5	342	110
6	481	110
7	943	110
8	3041	110
9	5960	110
0	8118	108

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* -1/3 (/ y (sqrt x))) (+ 1 (/ 1 (* x -9))))
-1/3
(/ y (sqrt x))
y
(sqrt x)
x
(+ 1 (/ 1 (* x -9)))
1
(/ 1 (* x -9))
(* x -9)
-9
1
(+ (* (/ 1 x) 1/9) 1)
(/ 1 x)
1
x
1/9
(- 1 (/ y (* 3 (sqrt x))))
1
(/ y (* 3 (sqrt x)))
y
(* 3 (sqrt x))
3
(sqrt x)
x
(/ (- (/ 1/81 (* x x)) 1) (- (/ -1/9 x) 1))
(- (/ 1/81 (* x x)) 1)
(/ 1/81 (* x x))
1/81
(* x x)
x
1
(- (/ -1/9 x) 1)
(/ -1/9 x)
-1/9

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

localize113.0ms (1.1%)

Memory

22.3MiB live, 96.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64))
✓	accuracy	99.4%	(/.f64 #s(literal -1/9 binary64) x)
✓	accuracy	99.2%	(/.f64 #s(literal 1/81 binary64) (*.f64 x x))
✓	accuracy	76.1%	(/.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)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.6%	(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓	accuracy	99.5%	(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(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 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
✓	accuracy	99.9%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
✓	accuracy	99.6%	(/.f64 y (sqrt.f64 x))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))

Samples

69.0ms

256×

valid

Compiler

Compiled 118 to 30 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 19.0ms (35.6% of total)

const: 13.0ms (24.4% of total)

ival-div: 12.0ms (22.5% of total)

ival-sub: 4.0ms (7.5% of total)

ival-add: 3.0ms (5.6% of total)

ival-sqrt: 2.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory

-28.6MiB live, 8.1MiB allocated

Counts

15 → 228

Calls

Call 1

Inputs
#<alt (/ 1 (* x -9))>
#<alt (+ (* -1/3 (/ y (sqrt x))) (+ 1 (/ 1 (* x -9))))>
#<alt (/ y (sqrt x))>
#<alt (sqrt x)>
#<alt (+ (* (/ 1 x) 1/9) 1)>
#<alt (/ 1 x)>
#<alt (- 1 (/ y (* 3 (sqrt x))))>
#<alt (/ y (* 3 (sqrt x)))>
#<alt (* 3 (sqrt x))>
#<alt (/ (- (/ 1/81 (* x x)) 1) (- (/ -1/9 x) 1))>
#<alt (- (/ 1/81 (* x x)) 1)>
#<alt (/ 1/81 (* x x))>
#<alt (* x x)>
#<alt (+ 1 (/ 1 (* x -9)))>
#<alt (/ -1/9 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 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 (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))>
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))>
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 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 (* (sqrt x) y)) 1/9) x)>
#<alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)>
#<alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)>
#<alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) 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 (* (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 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 (/ 1/9 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 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 (* 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 (/ (- 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 (/ 1/81 (pow x 2))>
#<alt (/ (+ 1/81 (* -1 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1/81 (* -1 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1/81 (* -1 (pow x 2))) (pow x 2))>
#<alt -1>
#<alt (- (* 1/81 (/ 1 (pow x 2))) 1)>
#<alt (- (* 1/81 (/ 1 (pow x 2))) 1)>
#<alt (- (* 1/81 (/ 1 (pow x 2))) 1)>
#<alt -1>
#<alt (- (* 1/81 (/ 1 (pow x 2))) 1)>
#<alt (- (* 1/81 (/ 1 (pow x 2))) 1)>
#<alt (- (* 1/81 (/ 1 (pow x 2))) 1)>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ -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)>

Calls

57 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/ (- (/ 1/81 (* x x)) 1) (- (/ -1/9 x) 1))
0.0ms	x	@	inf	(/ (- (/ 1/81 (* x x)) 1) (- (/ -1/9 x) 1))
0.0ms	x	@	0	(/ 1/81 (* x x))
0.0ms	x	@	-inf	(/ (- (/ 1/81 (* x x)) 1) (- (/ -1/9 x) 1))
0.0ms	x	@	inf	(/ 1/81 (* x x))

rewrite505.0ms (5.1%)

Memory

18.7MiB live, 543.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 118×	`accelerator-lowering-fma.f32`
10 118×	`accelerator-lowering-fma.f64`
5 160×	`/-lowering-/.f32`
5 160×	`/-lowering-/.f64`
3 530×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	81
1	169	75
2	1586	75
0	8670	72

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 1 136

Calls

Call 1

Inputs
(/ 1 (* x -9))
(+ (* -1/3 (/ y (sqrt x))) (+ 1 (/ 1 (* x -9))))
(/ y (sqrt x))
(sqrt x)
(+ (* (/ 1 x) 1/9) 1)
(/ 1 x)
(- 1 (/ y (* 3 (sqrt x))))
(/ y (* 3 (sqrt x)))
(* 3 (sqrt x))
(/ (- (/ 1/81 (* x x)) 1) (- (/ -1/9 x) 1))
(- (/ 1/81 (* x x)) 1)
(/ 1/81 (* x x))
(* x x)
(+ 1 (/ 1 (* x -9)))
(/ -1/9 x)

Outputs
(exp.f64 (neg.f64 (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 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))
(/.f64 #s(literal 1/9 binary64) (neg.f64 x))
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal -1/9 binary64) (neg.f64 (neg.f64 x)))
(/.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 (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 x) #s(literal 81 binary64)) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (*.f64 x #s(literal 9 binary64))) #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 1/9 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (neg.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 #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 -1/9 binary64) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 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 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(+.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(+.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal -1/3 binary64) y) (.f64 #s(literal -1/3 binary64) y)) 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 #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 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 #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 y (.f64 (sqrt.f64 x) #s(literal -3 binary64))))) (/.f64 (/.f64 (.f64 (.f64 #s(literal -1/3 binary64) y) (.f64 #s(literal -1/3 binary64) y)) 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 (.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) (-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(fma.f64 (/.f64 #s(literal -1/9 binary64) x) #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 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 y (neg.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (+.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)) #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) (/.f64 y (.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 y (.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(fma.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))) (/.f64 y (.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal -1 binary64)) (/.f64 y (.f64 (sqrt.f64 x) #s(literal -3 binary64))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.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)) #s(literal 1 binary64))
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(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))))
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(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))
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(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))
(.f64 (-.f64 (.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1/531441 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/6561 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (.f64 x x)))) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1/6561 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))))
(.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/729 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (.f64 x x))))))
(.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/729 binary64) (.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/9 binary64)) x)))))
(.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))
(.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/729 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/9 binary64)) x))))
(.f64 (-.f64 (.f64 (/.f64 #s(literal 1/81 binary64) (.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/81 binary64) (.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (.f64 x x))) (.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (.f64 (.f64 x x) #s(literal 81 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/81 binary64) (.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (.f64 x x))) (/.f64 #s(literal 1/81 binary64) (.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/81 binary64) (.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (.f64 x x))) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))))))
(.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (.f64 x x))) (.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (.f64 (.f64 x x) #s(literal 81 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))))))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/531441 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/6561 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (.f64 x x))))))
(.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6561 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))))
(.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/729 binary64) (.f64 x (.f64 x x))) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))))
(.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/729 binary64) (.f64 x (.f64 x x))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))))))
(.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/531441 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/6561 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (.f64 x x))))))
(.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/6561 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))))
(.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/531441 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/6561 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 (/.f64 #s(literal 1/729 binary64) (.f64 x (.f64 x x))) #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (.f64 x x))))))
(.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6561 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/729 binary64) (.f64 x (.f64 x x))) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (.f64 x x))))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (.f64 x x)))))
(exp.f64 (neg.f64 (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 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))
(/.f64 #s(literal 1/9 binary64) (neg.f64 x))
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal -1/9 binary64) (neg.f64 (neg.f64 x)))
(/.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 (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 x) #s(literal 81 binary64)) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (*.f64 x #s(literal 9 binary64))) #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 1/9 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (neg.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)))

simplify251.0ms (2.6%)

Memory

4.5MiB live, 355.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 316×	`accelerator-lowering-fma.f32`
7 316×	`accelerator-lowering-fma.f64`
3 164×	`-lowering-.f32`
3 164×	`-lowering-.f64`
1 180×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	1381
1	174	1372
2	428	1372
3	981	1354
4	2857	1354
5	5227	1354
6	6995	1354
0	8127	1313

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

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 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 (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 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 (* (sqrt x) y)) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) 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)))
(* (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 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)))
(/ 1/9 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 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))
(* 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)
(/ (- 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)))
(/ 1/81 (pow x 2))
(/ (+ 1/81 (* -1 (pow x 2))) (pow x 2))
(/ (+ 1/81 (* -1 (pow x 2))) (pow x 2))
(/ (+ 1/81 (* -1 (pow x 2))) (pow x 2))
-1
(- (* 1/81 (/ 1 (pow x 2))) 1)
(- (* 1/81 (/ 1 (pow x 2))) 1)
(- (* 1/81 (/ 1 (pow x 2))) 1)
-1
(- (* 1/81 (/ 1 (pow x 2))) 1)
(- (* 1/81 (/ 1 (pow x 2))) 1)
(- (* 1/81 (/ 1 (pow x 2))) 1)
(/ 1/81 (pow x 2))
(/ 1/81 (pow x 2))
(/ 1/81 (pow x 2))
(/ 1/81 (pow x 2))
(/ 1/81 (pow x 2))
(/ 1/81 (pow x 2))
(/ 1/81 (pow x 2))
(/ 1/81 (pow x 2))
(/ 1/81 (pow x 2))
(/ 1/81 (pow x 2))
(/ 1/81 (pow x 2))
(/ 1/81 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -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)

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 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/3 binary64) y))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/3 binary64) y))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #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))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #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))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal -1/9 binary64)) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)) x)) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)) x)) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)) x)) x)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #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 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(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)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ (+ 1/9 x) x)
(/.f64 (+.f64 x #s(literal 1/9 binary64)) x)
(/ (+ 1/9 x) x)
(/.f64 (+.f64 x #s(literal 1/9 binary64)) x)
(/ (+ 1/9 x) x)
(/.f64 (+.f64 x #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
#s(literal 1 binary64)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/3 binary64) y))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/3 binary64) y))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/3 binary64) y))
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal -1/3 binary64) (/.f64 y x)) #s(literal 1 binary64))
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal -1/3 binary64) (/.f64 y x)) #s(literal 1 binary64))
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal -1/3 binary64) (/.f64 y x)) #s(literal 1 binary64))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal 1/3 binary64)))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(/ -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))
(/ 1/81 (pow x 2))
(/.f64 #s(literal 1/81 binary64) (*.f64 x x))
(/ (+ 1/81 (* -1 (pow x 2))) (pow x 2))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))
(/ (+ 1/81 (* -1 (pow x 2))) (pow x 2))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))
(/ (+ 1/81 (* -1 (pow x 2))) (pow x 2))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))
-1
#s(literal -1 binary64)
(- (* 1/81 (/ 1 (pow x 2))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))
(- (* 1/81 (/ 1 (pow x 2))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))
(- (* 1/81 (/ 1 (pow x 2))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))
-1
#s(literal -1 binary64)
(- (* 1/81 (/ 1 (pow x 2))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))
(- (* 1/81 (/ 1 (pow x 2))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))
(- (* 1/81 (/ 1 (pow x 2))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))
(/ 1/81 (pow x 2))
(/.f64 #s(literal 1/81 binary64) (*.f64 x x))
(/ 1/81 (pow x 2))
(/.f64 #s(literal 1/81 binary64) (*.f64 x x))
(/ 1/81 (pow x 2))
(/.f64 #s(literal 1/81 binary64) (*.f64 x x))
(/ 1/81 (pow x 2))
(/.f64 #s(literal 1/81 binary64) (*.f64 x x))
(/ 1/81 (pow x 2))
(/.f64 #s(literal 1/81 binary64) (*.f64 x x))
(/ 1/81 (pow x 2))
(/.f64 #s(literal 1/81 binary64) (*.f64 x x))
(/ 1/81 (pow x 2))
(/.f64 #s(literal 1/81 binary64) (*.f64 x x))
(/ 1/81 (pow x 2))
(/.f64 #s(literal 1/81 binary64) (*.f64 x x))
(/ 1/81 (pow x 2))
(/.f64 #s(literal 1/81 binary64) (*.f64 x x))
(/ 1/81 (pow x 2))
(/.f64 #s(literal 1/81 binary64) (*.f64 x x))
(/ 1/81 (pow x 2))
(/.f64 #s(literal 1/81 binary64) (*.f64 x x))
(/ 1/81 (pow x 2))
(/.f64 #s(literal 1/81 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ -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))
(/ -1/9 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)

eval257.0ms (2.6%)

Memory: 8.7MiB live, 349.3MiB allocated
Compiler: Compiled 31 676 to 2 321 computations (92.7% saved)

prune158.0ms (1.6%)

Memory

-41.5MiB live, 314.2MiB allocated

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	1 381	9	1 390
Fresh	6	9	15
Picked	1	4	5
Done	0	2	2
Total	1 388	24	1 412

Accuracy

100.0%

Counts

1 412 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.3%	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
	61.0%	(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
✓	32.8%	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
	61.1%	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
	61.1%	(fma.f64 (/.f64 #s(literal 1/81 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))))
	71.3%	(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) #s(literal 1 binary64))
	61.0%	(fma.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) #s(literal 1 binary64))
▶	71.3%	(fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
▶	99.6%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))))
✓	99.6%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
✓	63.7%	(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
	45.7%	(/.f64 (fma.f64 x (.f64 (.f64 #s(literal -1/3 binary64) y) (.f64 #s(literal -1/3 binary64) y)) #s(literal -1/81 binary64)) (.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal 1/9 binary64))))
▶	16.8%	(/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)))
	32.8%	(/.f64 (+.f64 x #s(literal 1/9 binary64)) x)
	36.2%	(/.f64 (.f64 #s(literal -1/3 binary64) (.f64 y (sqrt.f64 x))) x)
	2.9%	(/.f64 #s(literal 1/9 binary64) x)
▶	30.0%	(/.f64 #s(literal -1/9 binary64) x)
	71.3%	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
✓	71.3%	(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	61.0%	(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
▶	61.1%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
✓	61.1%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
	40.3%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64)))
✓	32.8%	#s(literal 1 binary64)

Compiler

Compiled 466 to 342 computations (26.6% saved)

simplify358.0ms (3.6%)

Memory

10.0MiB live, 441.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 1/81 binary64) (*.f64 x x))
✓	cost-diff	1408	(/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #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	(neg.f64 y)
✓	cost-diff	128	(fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x #s(literal -9 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
✓	cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
✓	cost-diff	0	(/.f64 #s(literal -1/9 binary64) x)
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(/.f64 y (sqrt.f64 x))
✓	cost-diff	0	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))))
✓	cost-diff	704	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))

Rules

14 706×	`accelerator-lowering-fma.f32`
14 706×	`accelerator-lowering-fma.f64`
3 476×	`-lowering-.f32`
3 476×	`-lowering-.f64`
2 016×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	119
1	53	104
2	89	104
3	146	104
4	217	104
5	328	100
6	556	100
7	970	100
8	3362	100
9	6761	100
0	8058	98

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* -1/3 (/ y (sqrt x))) (+ 1 (/ (/ 1 x) -9)))
-1/3
(/ y (sqrt x))
y
(sqrt x)
x
(+ 1 (/ (/ 1 x) -9))
1
(/ (/ 1 x) -9)
(/ 1 x)
-9
(/ -1/9 x)
-1/9
x
(+ 1 (/ 1 (* x -9)))
1
(/ 1 (* x -9))
(* x -9)
x
-9
(+ (* (neg y) (/ 1/3 (sqrt x))) 1)
(neg y)
y
(/ 1/3 (sqrt x))
1/3
(sqrt x)
x
1
(/ (/ 1/81 (* x x)) (- (/ -1/9 x) 1))
(/ 1/81 (* x x))
1/81
(* x x)
x
(- (/ -1/9 x) 1)
(/ -1/9 x)
-1/9
1

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

localize100.0ms (1%)

Memory

3.5MiB live, 162.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
✓	accuracy	99.4%	(/.f64 #s(literal -1/9 binary64) x)
✓	accuracy	99.2%	(/.f64 #s(literal 1/81 binary64) (*.f64 x x))
✓	accuracy	76.1%	(/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	99.8%	(fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
✓	accuracy	99.3%	(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
✓	accuracy	100.0%	(*.f64 x #s(literal -9 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
✓	accuracy	99.4%	(/.f64 #s(literal -1/9 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
✓	accuracy	99.9%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))))
✓	accuracy	99.6%	(/.f64 y (sqrt.f64 x))
✓	accuracy	99.5%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))

Samples

68.0ms

256×

valid

Compiler

Compiled 115 to 29 computations (74.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-div: 16.0ms (34% of total)

const: 12.0ms (25.5% of total)

ival-add: 7.0ms (14.9% of total)

ival-mult: 6.0ms (12.8% of total)

ival-sqrt: 2.0ms (4.3% of total)

ival-sub: 1.0ms (2.1% of total)

ival-neg: 1.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

16 → 228

Calls

Call 1

Inputs
#<alt (/ (/ 1 x) -9)>
#<alt (+ (* -1/3 (/ y (sqrt x))) (+ 1 (/ (/ 1 x) -9)))>
#<alt (/ y (sqrt x))>
#<alt (sqrt x)>
#<alt (/ -1/9 x)>
#<alt (/ 1 (* x -9))>
#<alt (+ 1 (/ 1 (* x -9)))>
#<alt (* x -9)>
#<alt (+ (* (neg y) (/ 1/3 (sqrt x))) 1)>
#<alt (neg y)>
#<alt (/ 1/3 (sqrt x))>
#<alt (/ (/ 1/81 (* x x)) (- (/ -1/9 x) 1))>
#<alt (/ 1/81 (* x x))>
#<alt (* x x)>
#<alt (- (/ -1/9 x) 1)>
#<alt (+ 1 (/ (/ 1 x) -9))>

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 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 (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))>
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))>
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 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 (* (sqrt x) y)) 1/9) x)>
#<alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)>
#<alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)>
#<alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) 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 (* (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 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 (/ -1/9 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 (/ -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 (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 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 (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -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 (/ -1/9 x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- (* x (+ 1 (* -9 x))) 1/9) x)>
#<alt (/ (- (* x (+ 1 (* x (- (* 81 x) 9)))) 1/9) x)>
#<alt (/ -1/81 (pow x 2))>
#<alt (/ (- (* 1/729 (/ 1 x)) 1/81) (pow x 2))>
#<alt (/ (- (* 1/729 (/ 1 x)) (+ 1/81 (/ 1/6561 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (* 1/729 (/ 1 x)) (* 1/59049 (/ 1 (pow x 3)))) (+ 1/81 (/ 1/6561 (pow x 2)))) (pow x 2))>
#<alt (/ -1/81 (pow x 2))>
#<alt (/ (- (* 1/729 (/ 1 x)) 1/81) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* 1/6561 (/ 1 x)) 1/729) x)) 1/81) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/59049 (/ 1 x)) 1/6561) x)) 1/729) x)) 1/81) (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ -1/9 x)>
#<alt (/ (- (* -1 x) 1/9) x)>
#<alt (/ (- (* -1 x) 1/9) x)>
#<alt (/ (- (* -1 x) 1/9) x)>
#<alt -1>
#<alt (* -1 (+ 1 (* 1/9 (/ 1 x))))>
#<alt (* -1 (+ 1 (* 1/9 (/ 1 x))))>
#<alt (* -1 (+ 1 (* 1/9 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 1/9 (/ 1 x))))>
#<alt (* -1 (+ 1 (* 1/9 (/ 1 x))))>
#<alt (* -1 (+ 1 (* 1/9 (/ 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)))>

Calls

57 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ 1/3 (sqrt x))
0.0ms	x	@	inf	(/ (/ 1/81 (* x x)) (- (/ -1/9 x) 1))
0.0ms	x	@	-inf	(/ (/ 1/81 (* x x)) (- (/ -1/9 x) 1))
0.0ms	x	@	0	(* x -9)
0.0ms	x	@	0	(/ 1/3 (sqrt x))

rewrite386.0ms (3.9%)

Memory

20.1MiB live, 614.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 922×	`accelerator-lowering-fma.f32`
10 922×	`accelerator-lowering-fma.f64`
3 822×	`/-lowering-/.f32`
3 822×	`/-lowering-/.f64`
3 598×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	91
1	168	78
2	1373	78
0	8376	75

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 864

Calls

Call 1

Inputs
(/ (/ 1 x) -9)
(+ (* -1/3 (/ y (sqrt x))) (+ 1 (/ (/ 1 x) -9)))
(/ y (sqrt x))
(sqrt x)
(/ -1/9 x)
(/ 1 (* x -9))
(+ 1 (/ 1 (* x -9)))
(* x -9)
(+ (* (neg y) (/ 1/3 (sqrt x))) 1)
(neg y)
(/ 1/3 (sqrt x))
(/ (/ 1/81 (* x x)) (- (/ -1/9 x) 1))
(/ 1/81 (* x x))
(* x x)
(- (/ -1/9 x) 1)
(+ 1 (/ (/ 1 x) -9))

Outputs
(exp.f64 (neg.f64 (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 binary64) x) #s(literal -9 binary64))
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1/9 binary64) (neg.f64 x))
(/.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 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 binary64) x) #s(literal -1/9 binary64))
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 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 #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 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (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 (/.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 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) (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 (/.f64 (.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 y y)) (+.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) (neg.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 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x)))))
(+.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))
(+.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) #s(literal 1 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 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x))
(-.f64 (/.f64 (.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 y y)) (+.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 (*.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 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #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 #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 y (.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (/.f64 (.f64 (/.f64 #s(literal 1/9 binary64) x) (.f64 y y)) (+.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 (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 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) (+.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(fma.f64 #s(literal 1 binary64) (/.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) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 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)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal 1 binary64) (+.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)) #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(fma.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 #s(literal 1/3 binary64) (neg.f64 (/.f64 y (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (neg.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/9 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/9 binary64)) #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/9 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/9 binary64)) #s(literal 1 binary64))))) (+.f64 (/.f64 (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/9 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/9 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))) (+.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(.f64 (+.f64 (/.f64 #s(literal -1/729 binary64) (.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/9 binary64)) #s(literal 1 binary64))))
(.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/81 binary64) (.f64 x x)) (+.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 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(*.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 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (*.f64 x x))))) (/.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/9 binary64)) x)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/81 binary64) (.f64 x x)))) (/.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))
(.f64 (+.f64 (pow.f64 (.f64 x #s(literal -9 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) (.f64 (.f64 x x) #s(literal -81 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) (fma.f64 x #s(literal -9 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(fma.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)) #s(literal 1 binary64))
(neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/9 binary64)) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/81 binary64) (*.f64 x x))) (-.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)))
(/.f64 (+.f64 (/.f64 #s(literal -1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/9 binary64)) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/9 binary64)) x)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(/.f64 (-.f64 (/.f64 #s(literal -1/729 binary64) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/9 binary64)) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) (.f64 (*.f64 x x) #s(literal -81 binary64)))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/9 binary64)) x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.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)) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/9 binary64)) x))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/81 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.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 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))
(.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1/729 binary64) (.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/9 binary64)) x)))))
(.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 (/.f64 #s(literal -1/729 binary64) (.f64 x (*.f64 x x))) #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/9 binary64)) #s(literal 1 binary64)))))

simplify505.0ms (5.1%)

Memory

-4.0MiB live, 512.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 904×	`accelerator-lowering-fma.f32`
8 904×	`accelerator-lowering-fma.f64`
3 040×	`-lowering-.f32`
3 040×	`-lowering-.f64`
1 786×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	1319
1	299	1310
2	719	1298
3	1806	1294
4	4827	1294
0	8143	1250

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

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 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 (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 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 (* (sqrt x) y)) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) 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)))
(* (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 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)))
(/ -1/9 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)
(/ -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)))
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 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)))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -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)))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- (* x (+ 1 (* -9 x))) 1/9) x)
(/ (- (* x (+ 1 (* x (- (* 81 x) 9)))) 1/9) x)
(/ -1/81 (pow x 2))
(/ (- (* 1/729 (/ 1 x)) 1/81) (pow x 2))
(/ (- (* 1/729 (/ 1 x)) (+ 1/81 (/ 1/6561 (pow x 2)))) (pow x 2))
(/ (- (+ (* 1/729 (/ 1 x)) (* 1/59049 (/ 1 (pow x 3)))) (+ 1/81 (/ 1/6561 (pow x 2)))) (pow x 2))
(/ -1/81 (pow x 2))
(/ (- (* 1/729 (/ 1 x)) 1/81) (pow x 2))
(/ (- (* -1 (/ (- (* 1/6561 (/ 1 x)) 1/729) x)) 1/81) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 1/59049 (/ 1 x)) 1/6561) x)) 1/729) x)) 1/81) (pow x 2))
(/ 1/81 (pow x 2))
(/ 1/81 (pow x 2))
(/ 1/81 (pow x 2))
(/ 1/81 (pow x 2))
(/ 1/81 (pow x 2))
(/ 1/81 (pow x 2))
(/ 1/81 (pow x 2))
(/ 1/81 (pow x 2))
(/ 1/81 (pow x 2))
(/ 1/81 (pow x 2))
(/ 1/81 (pow x 2))
(/ 1/81 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -1/9 x)
(/ (- (* -1 x) 1/9) x)
(/ (- (* -1 x) 1/9) x)
(/ (- (* -1 x) 1/9) x)
-1
(* -1 (+ 1 (* 1/9 (/ 1 x))))
(* -1 (+ 1 (* 1/9 (/ 1 x))))
(* -1 (+ 1 (* 1/9 (/ 1 x))))
-1
(* -1 (+ 1 (* 1/9 (/ 1 x))))
(* -1 (+ 1 (* 1/9 (/ 1 x))))
(* -1 (+ 1 (* 1/9 (/ 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)))

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 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/3 binary64) y))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/3 binary64) y))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #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))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #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))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/.f64 (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) x)) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) x)) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) x)) x)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #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 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(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)
(/ -1/9 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)
(/ -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))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/3 binary64) y))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/3 binary64) y))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/3 binary64) y))
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(/.f64 (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) x) x)
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(/.f64 (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) x) x)
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(/.f64 (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) x) x)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* 1/3 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(/ -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))) 1/9) x)
(fma.f64 x #s(literal -9 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(/ (- (* x (+ 1 (* x (- (* 81 x) 9)))) 1/9) x)
(+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal -9 binary64)) (/.f64 #s(literal -1/9 binary64) x)))
(/ -1/81 (pow x 2))
(/.f64 #s(literal -1/81 binary64) (*.f64 x x))
(/ (- (* 1/729 (/ 1 x)) 1/81) (pow x 2))
(/.f64 (+.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/729 binary64) x)) (*.f64 x x))
(/ (- (* 1/729 (/ 1 x)) (+ 1/81 (/ 1/6561 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal -1/81 binary64) (/.f64 (+.f64 #s(literal 1/729 binary64) (/.f64 #s(literal -1/6561 binary64) x)) x)) (*.f64 x x))
(/ (- (+ (* 1/729 (/ 1 x)) (* 1/59049 (/ 1 (pow x 3)))) (+ 1/81 (/ 1/6561 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 (-.f64 #s(literal -1/729 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/59049 binary64) x) #s(literal -1/6561 binary64)) x)) x)) (*.f64 x x))
(/ -1/81 (pow x 2))
(/.f64 #s(literal -1/81 binary64) (*.f64 x x))
(/ (- (* 1/729 (/ 1 x)) 1/81) (pow x 2))
(/.f64 (+.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/729 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (- (* 1/6561 (/ 1 x)) 1/729) x)) 1/81) (pow x 2))
(/.f64 (+.f64 #s(literal -1/81 binary64) (/.f64 (+.f64 #s(literal 1/729 binary64) (/.f64 #s(literal -1/6561 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 1/59049 (/ 1 x)) 1/6561) x)) 1/729) x)) 1/81) (pow x 2))
(/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 (-.f64 #s(literal -1/729 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/59049 binary64) x) #s(literal -1/6561 binary64)) x)) x)) (*.f64 x x))
(/ 1/81 (pow x 2))
(/.f64 #s(literal 1/81 binary64) (*.f64 x x))
(/ 1/81 (pow x 2))
(/.f64 #s(literal 1/81 binary64) (*.f64 x x))
(/ 1/81 (pow x 2))
(/.f64 #s(literal 1/81 binary64) (*.f64 x x))
(/ 1/81 (pow x 2))
(/.f64 #s(literal 1/81 binary64) (*.f64 x x))
(/ 1/81 (pow x 2))
(/.f64 #s(literal 1/81 binary64) (*.f64 x x))
(/ 1/81 (pow x 2))
(/.f64 #s(literal 1/81 binary64) (*.f64 x x))
(/ 1/81 (pow x 2))
(/.f64 #s(literal 1/81 binary64) (*.f64 x x))
(/ 1/81 (pow x 2))
(/.f64 #s(literal 1/81 binary64) (*.f64 x x))
(/ 1/81 (pow x 2))
(/.f64 #s(literal 1/81 binary64) (*.f64 x x))
(/ 1/81 (pow x 2))
(/.f64 #s(literal 1/81 binary64) (*.f64 x x))
(/ 1/81 (pow x 2))
(/.f64 #s(literal 1/81 binary64) (*.f64 x x))
(/ 1/81 (pow x 2))
(/.f64 #s(literal 1/81 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- (* -1 x) 1/9) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/ (- (* -1 x) 1/9) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/ (- (* -1 x) 1/9) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 1/9 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(* -1 (+ 1 (* 1/9 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(* -1 (+ 1 (* 1/9 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 1/9 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(* -1 (+ 1 (* 1/9 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(* -1 (+ 1 (* 1/9 (/ 1 x))))
(+.f64 #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))

eval193.0ms (2%)

Memory: -2.6MiB live, 309.0MiB allocated
Compiler: Compiled 19 857 to 2 253 computations (88.7% saved)

prune167.0ms (1.7%)

Memory

-6.4MiB live, 388.1MiB allocated

Pruning

26 alts after pruning (19 fresh and 7 done)

	Pruned	Kept	Total
New	1 144	10	1 154
Fresh	4	9	13
Picked	4	1	5
Done	0	6	6
Total	1 152	26	1 178

Accuracy

100.0%

Counts

1 178 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.3%	(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
	61.0%	(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
✓	32.8%	(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
	71.3%	(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
	71.3%	(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) #s(literal 1 binary64))
	61.0%	(fma.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) #s(literal 1 binary64))
	29.6%	(fma.f64 x #s(literal -9 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
✓	99.6%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
✓	63.7%	(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
	30.1%	(/.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) x) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) x)
	30.0%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))
	30.1%	(/.f64 (/.f64 #s(literal 1/81 binary64) x) (fma.f64 x (/.f64 #s(literal -1/9 binary64) x) (neg.f64 x)))
	32.8%	(/.f64 (+.f64 x #s(literal 1/9 binary64)) x)
	36.2%	(/.f64 (.f64 #s(literal -1/3 binary64) (.f64 y (sqrt.f64 x))) x)
	29.9%	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
	2.9%	(/.f64 #s(literal 1/9 binary64) x)
	17.3%	(/.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))))
	6.9%	(/.f64 #s(literal -1/81 binary64) (*.f64 x x))
✓	30.0%	(/.f64 #s(literal -1/9 binary64) x)
	71.3%	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
✓	71.3%	(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
	30.7%	(+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal -9 binary64)) (/.f64 #s(literal -1/9 binary64) x)))
✓	61.1%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
	29.9%	(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
	40.3%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64)))
✓	32.8%	#s(literal 1 binary64)

Compiler

Compiled 765 to 328 computations (57.1% saved)

regimes52.0ms (0.5%)

Memory

-3.6MiB live, 108.1MiB allocated

Counts

49 → 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 x #s(literal 1/9 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal -1/81 binary64) (*.f64 x x))
(/.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))))
(fma.f64 x #s(literal -9 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal -9 binary64)) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 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 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64)))
(/.f64 (.f64 #s(literal -1/3 binary64) (.f64 y (sqrt.f64 x))) x)
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1/81 binary64) x) (fma.f64 x (/.f64 #s(literal -1/9 binary64) x) (neg.f64 x)))
(/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) 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)))
(/.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 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 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 (/.f64 #s(literal 1/81 binary64) x) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) 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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))))
(-.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))))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(/.f64 (fma.f64 x (.f64 (.f64 #s(literal -1/3 binary64) y) (.f64 #s(literal -1/3 binary64) y)) #s(literal -1/81 binary64)) (.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal 1/9 binary64))))
(-.f64 (-.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 3 binary64) (sqrt.f64 x)) y)))
(fma.f64 (/.f64 #s(literal 1/81 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 x) #s(literal -3 binary64)) (.f64 (sqrt.f64 x) #s(literal -3 binary64))))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(.f64 (/.f64 (fma.f64 x (.f64 (.f64 #s(literal -1/3 binary64) y) (.f64 #s(literal -1/3 binary64) y)) #s(literal -1/81 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal 1/9 binary64))) #s(literal 1 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(literal 3 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))))
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -2 binary64))) (/.f64 y (.f64 #s(literal 3 binary64) (sqrt.f64 x))))

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

Calls

3 calls:

21.0ms	y
15.0ms	x
13.0ms	(-.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
99.6%	1	`x`
99.6%	1	`y`
99.6%	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)

regimes29.0ms (0.3%)

Memory

-12.3MiB live, 65.9MiB allocated

Counts

29 → 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 x #s(literal 1/9 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal -1/81 binary64) (*.f64 x x))
(/.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))))
(fma.f64 x #s(literal -9 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal -9 binary64)) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 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 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y #s(literal -1/3 binary64)))
(/.f64 (.f64 #s(literal -1/3 binary64) (.f64 y (sqrt.f64 x))) x)
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1/81 binary64) x) (fma.f64 x (/.f64 #s(literal -1/9 binary64) x) (neg.f64 x)))
(/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/9 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	y
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))))
8.0ms	x

Results

Accuracy	Segments	Branch
98.0%	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))))`
99.3%	2	`x`
96.6%	3	`y`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes26.0ms (0.3%)

Memory

13.5MiB live, 55.8MiB allocated

Counts

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

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

Calls

3 calls:

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))))
7.0ms	y
7.0ms	x

Results

Accuracy	Segments	Branch
96.6%	3	`y`
85.7%	3	`(-.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))))`
85.3%	2	`x`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes47.0ms (0.5%)

Memory

-23.5MiB live, 15.6MiB allocated

Counts

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

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

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

Calls

1 calls:

46.0ms

Results

Accuracy	Segments	Branch
96.6%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes16.0ms (0.2%)

Memory

26.3MiB live, 26.3MiB allocated

Counts

16 → 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 x #s(literal 1/9 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal -1/81 binary64) (*.f64 x x))
(/.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))))
(fma.f64 x #s(literal -9 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal -9 binary64)) (/.f64 #s(literal -1/9 binary64) x)))

Outputs
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/81 binary64) (*.f64 x x))

Calls

3 calls:

5.0ms	y
5.0ms	x
5.0ms	(-.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
64.0%	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))))`
61.1%	1	`x`
64.2%	2	`y`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes31.0ms (0.3%)

Memory

-22.2MiB live, 17.5MiB allocated

Counts

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

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

Calls

3 calls:

25.0ms	(-.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
3.0ms	x

Results

Accuracy	Segments	Branch
61.1%	1	`x`
61.1%	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))))`
61.1%	1	`y`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes6.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB 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:

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	y
2.0ms	x

Results

Accuracy	Segments	Branch
36.7%	3	`y`
61.3%	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))))`
60.7%	2	`x`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes4.0ms (0%)

Memory

12.5MiB live, 12.5MiB 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
32.8%	1	`y`
32.8%	1	`x`
32.8%	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)

bsearch35.0ms (0.4%)

Memory

-7.5MiB live, 31.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	305.08044889512973	4219378.080533337

Samples

29.0ms

128×

valid

Compiler

Compiled 203 to 161 computations (20.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (33.6% of total)

ival-mult: 2.0ms (33.6% of total)

ival-sub: 1.0ms (16.8% of total)

ival-sqrt: 1.0ms (16.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch35.0ms (0.4%)

Memory

-18.4MiB live, 60.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	7.553441250667151e+65	1.0037023568189159e+68
19.0ms	-1.703684613051901e+65	-9.380830877883084e+54

Samples

20.0ms

272×

valid

Compiler

Compiled 335 to 282 computations (15.8% saved)

Precisions

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

ival-div: 4.0ms (33% of total)

ival-mult: 3.0ms (24.7% of total)

ival-sub: 2.0ms (16.5% of total)

ival-sqrt: 2.0ms (16.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch36.0ms (0.4%)

Memory

7.1MiB live, 80.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	7.553441250667151e+65	1.0037023568189159e+68
18.0ms	-1.703684613051901e+65	-9.380830877883084e+54

Samples

20.0ms

272×

valid

Compiler

Compiled 325 to 272 computations (16.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 4.0ms (28.7% of total)

ival-sub: 3.0ms (21.5% of total)

ival-mult: 3.0ms (21.5% of total)

ival-sqrt: 3.0ms (21.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch10.0ms (0.1%)

Memory

28.0MiB live, 28.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.430438253850483e+138	6.5576085633734e+138

Samples

5.0ms

80×

valid

Compiler

Compiled 99 to 82 computations (17.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 1.0ms (27.4% of total)

ival-sub: 1.0ms (27.4% of total)

ival-mult: 1.0ms (27.4% of total)

ival-sqrt: 1.0ms (27.4% 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

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-868053092211902600.0	0.9998202607480328

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify16.0ms (0.2%)

Memory

-7.0MiB live, 38.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	122
1	62	122
2	78	122
3	102	122
4	122	122
5	164	122
6	226	122
7	232	122

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(if (<=.f64 x #s(literal 310 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 -94999999999999998930637165413181578434644042694975815680 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 11499999999999999277670734695667832180625106261402237875677495820288 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -680000000000000028382150481072567596099861263266904850537906176 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 2899999999999999860141989175753148217565140911830041633126877233152 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal 4499999999999999817259046806297867879483902532232732715603068936023751888720148342745110302169100444483167551671808536308312195342272561152 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal -1/81 binary64) (*.f64 x x)))
(+.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 -500000000000000000 binary64)) (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(if (<=.f64 x #s(literal 310 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 x #s(literal 310 binary64)) (/.f64 (fma.f64 (sqrt.f64 x) (.f64 #s(literal -1/3 binary64) y) #s(literal -1/9 binary64)) x) (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(if (<=.f64 y #s(literal -94999999999999998930637165413181578434644042694975815680 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 11499999999999999277670734695667832180625106261402237875677495820288 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -94999999999999998930637165413181578434644042694975815680 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (if (<=.f64 y #s(literal 11499999999999999277670734695667832180625106261402237875677495820288 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -680000000000000028382150481072567596099861263266904850537906176 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 2899999999999999860141989175753148217565140911830041633126877233152 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal 4499999999999999817259046806297867879483902532232732715603068936023751888720148342745110302169100444483167551671808536308312195342272561152 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal -1/81 binary64) (*.f64 x x)))
(+.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 -500000000000000000 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 (sqrt.f64 x) #s(literal 3 binary64)))) #s(literal -500000000000000000 binary64)) (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.4s (14%)

Memory

-27.0MiB live, 970.3MiB allocated

Rules

14 530×	`accelerator-lowering-fma.f32`
14 530×	`accelerator-lowering-fma.f64`
8 904×	`accelerator-lowering-fma.f32`
8 904×	`accelerator-lowering-fma.f64`
8 710×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	660
1	129	660
2	304	659
3	778	659
4	1976	659
5	3988	659
6	5217	659
7	6399	659
8	7521	659
9	7907	659
0	8011	638
0	108	1319
1	299	1310
2	719	1298
3	1806	1294
4	4827	1294
0	8143	1250
0	70	1381
1	174	1372
2	428	1372
3	981	1354
4	2857	1354
5	5227	1354
6	6995	1354
0	8127	1313
0	28	115
1	196	108
2	2158	108
0	8508	102
0	111	2320
1	310	2320
2	896	2308
3	2411	2308
4	6589	2308
0	8304	2187
0	12	39
1	67	33
2	782	33
0	8398	32

Stop Event

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

Compiler

Compiled 320 to 200 computations (37.5% saved)

preprocess60.0ms (0.6%)

Memory: 12.3MiB live, 167.1MiB allocated
Compiler: Compiled 324 to 144 computations (55.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.3s (13.1%)

preprocess199.0ms (2%)

explain238.0ms (2.4%)

eval0.0ms (0%)

prune16.0ms (0.2%)

simplify102.0ms (1%)

localize109.0ms (1.1%)

series10.0ms (0.1%)

rewrite483.0ms (4.9%)

simplify242.0ms (2.5%)

eval81.0ms (0.8%)

prune66.0ms (0.7%)

simplify304.0ms (3.1%)

localize136.0ms (1.4%)

series15.0ms (0.1%)

rewrite473.0ms (4.8%)

simplify509.0ms (5.2%)

eval261.0ms (2.7%)

prune209.0ms (2.1%)

simplify289.0ms (2.9%)

localize113.0ms (1.1%)

series23.0ms (0.2%)

rewrite505.0ms (5.1%)

simplify251.0ms (2.6%)

eval257.0ms (2.6%)

prune158.0ms (1.6%)

simplify358.0ms (3.6%)

localize100.0ms (1%)

series6.0ms (0.1%)

rewrite386.0ms (3.9%)

simplify505.0ms (5.1%)

eval193.0ms (2%)

prune167.0ms (1.7%)

regimes52.0ms (0.5%)

regimes29.0ms (0.3%)

regimes26.0ms (0.3%)

regimes47.0ms (0.5%)

regimes16.0ms (0.2%)

regimes31.0ms (0.3%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

bsearch35.0ms (0.4%)

bsearch35.0ms (0.4%)

bsearch36.0ms (0.4%)

bsearch10.0ms (0.1%)

bsearch0.0ms (0%)

simplify16.0ms (0.2%)

soundness1.4s (14%)

preprocess60.0ms (0.6%)

end0.0ms (0%)

Profiling