Metrics for Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample669.0ms (18.1%)

Memory

-11.6MiB live, 783.8MiB allocated

Samples

406.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

ival-fabs: 64.0ms (35.8% of total)

ival-sqrt: 57.0ms (31.8% of total)

ival-sub: 48.0ms (26.8% of total)

ival-true: 6.0ms (3.4% of total)

ival-assert: 3.0ms (1.7% of total)

Bogosity

explain56.0ms (1.5%)

Memory

-3.8MiB live, 40.3MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(fabs.f64 (-.f64 x y))`
-	-	`(-.f64 x y)`
-	-	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
-	-	`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

32.0ms

512×

valid

Compiler

Compiled 51 to 24 computations (52.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-sub: 14.0ms (67.5% of total)

ival-fabs: 3.0ms (14.5% of total)

ival-sqrt: 3.0ms (14.5% of total)

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

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

preprocess18.0ms (0.5%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	31
1	35	27
2	72	27
3	137	27
4	186	27
5	202	27
6	204	27
0	5	5
0	8	5
1	12	5
2	19	5
3	27	5
4	46	5
5	93	5
6	146	5
7	175	5
8	186	5
0	186	5

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))

Outputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))

Symmetry

(sort x y)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (fabs.f64 (-.f64 x y)))

Compiler

Compiled 5 to 5 computations (0% saved)

simplify6.0ms (0.2%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 x y)
cost-diff	0	(fabs.f64 (-.f64 x y))
cost-diff	0	(sqrt.f64 (fabs.f64 (-.f64 x y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	12	14
2	19	14
3	27	14
4	46	14
5	93	14
6	146	14
7	175	14
8	186	14
0	186	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
x
y

Outputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(-.f64 x y)
x
y

localize15.0ms (0.4%)

Memory

6.8MiB live, 6.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(fabs.f64 (-.f64 x y))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 (-.f64 x y)))

Samples

11.0ms

256×

valid

Compiler

Compiled 30 to 12 computations (60% saved)

Precisions

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

ival-sub: 2.0ms (41.7% of total)

ival-sqrt: 2.0ms (41.7% of total)

ival-fabs: 1.0ms (20.9% of total)

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

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

series3.0ms (0.1%)

Memory

1.1MiB live, 1.1MiB allocated

Counts

3 → 14

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs.f64 (-.f64 x y))
(-.f64 x y)

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))
1.0ms	x	@	inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))
0.0ms	x	@	-inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))
0.0ms	x	@	0	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))
0.0ms	y	@	inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))

simplify129.0ms (3.5%)

Memory

4.2MiB live, 41.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	48
1	79	48
2	188	48
3	541	48
4	1603	48
5	2517	48
6	3425	48
7	5022	48
8	5530	48
9	5906	48
10	6427	48
11	7086	48
12	7819	48
0	8022	48

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 13

Calls

Call 1

Inputs
(sqrt (fabs (- x y)))
(fabs (- x y))
(* -1 y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(sqrt (fabs (neg (+ y (* -1 x)))))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(+ x (* -1 y))
(* y (- (/ x y) 1))
(sqrt (fabs (+ x (* -1 y))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

Outputs
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(sqrt (fabs (+ x (* -1 y))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)

rewrite369.0ms (10%)

Memory

-30.4MiB live, 95.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	8	12
1	29	12
2	181	12
3	1669	12
0	8382	12

Stop Event

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

Counts

3 → 322

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs.f64 (-.f64 x y))
(-.f64 x y)

Outputs
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 y x))))
(.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (+.f64 y x)))))
(.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (.f64 x x)))) (sqrt.f64 (fabs.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)))))
(.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (.f64 x x)))) (pow.f64 (fabs.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))))
(.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (fabs.f64 (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64)))))
(.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (fabs.f64 (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (-.f64 y x))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fabs.f64 (-.f64 y x))))
(pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))) (neg.f64 (sqrt.f64 (fabs.f64 (+.f64 y x)))))
(/.f64 (neg.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (sqrt.f64 (neg.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))) (sqrt.f64 (neg.f64 (fabs.f64 (+.f64 y x)))))
(/.f64 (sqrt.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (sqrt.f64 (neg.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) (sqrt.f64 (fabs.f64 (+.f64 y x))))
(/.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fabs.f64 (+.f64 y x))) (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))) (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(exp.f64 (fma.f64 (log.f64 (fabs.f64 (-.f64 y x))) #s(literal 1/4 binary64) (*.f64 (log.f64 (fabs.f64 (-.f64 y x))) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (fabs.f64 (-.f64 y x))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (-.f64 y x))) #s(literal 1/2 binary64)))
(.f64 (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y x) y) #s(literal 2 binary64))))) (fabs.f64 (-.f64 (.f64 (+.f64 y x) y) (.f64 x x))))
(.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fabs.f64 (fma.f64 (.f64 (+.f64 y x) y) (-.f64 (.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fabs.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(.f64 (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 (neg.f64 y) y (*.f64 x x)))) (fabs.f64 (-.f64 y x)))
(.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y x) y) #s(literal 2 binary64))))) (fabs.f64 (-.f64 (.f64 (+.f64 y x) y) (.f64 x x))))
(.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fabs.f64 (fma.f64 (.f64 (+.f64 y x) y) (-.f64 (.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x)))) (fabs.f64 (-.f64 y x)))
(.f64 (neg.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (+.f64 y x)))))
(.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))))
(.f64 (fabs.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (fabs.f64 (fma.f64 (neg.f64 y) y (.f64 x x))))
(.f64 (fabs.f64 (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 y x)))
(*.f64 (fabs.f64 (+.f64 y x)) (fabs.f64 (/.f64 (-.f64 x y) (neg.f64 (+.f64 y x)))))
(*.f64 (fabs.f64 (+.f64 y x)) (fabs.f64 (/.f64 (-.f64 x y) (+.f64 y x))))
(.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (.f64 x x))) (fabs.f64 (pow.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64))))
(.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (.f64 x x))) (fabs.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (.f64 x x))) (fabs.f64 (/.f64 (-.f64 x y) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (.f64 x x))) (fabs.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (pow.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal -1 binary64))))
(.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1 binary64))
(pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))) (neg.f64 (neg.f64 (fabs.f64 (+.f64 y x)))))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (fabs.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 y x) (-.f64 y x)))) (fabs.f64 (+.f64 y x)))
(/.f64 (fabs.f64 (.f64 #s(literal -1 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))
(/.f64 (fabs.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (fabs.f64 (+.f64 #s(literal 0 binary64) (-.f64 x y))))
(/.f64 (fabs.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)))) (fabs.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 x y))))))
(/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 y x))) (fabs.f64 (fma.f64 y y (*.f64 x x))))
(/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 y x))) (fabs.f64 (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))) (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (fma.f64 (+.f64 y x) y (.f64 x x)))) (fabs.f64 (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (fabs.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))) (fabs.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)))) (fabs.f64 (fma.f64 x (/.f64 x (+.f64 y x)) (*.f64 y (/.f64 y (+.f64 y x))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64)))) (fabs.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))))
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(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (+.f64 y x)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (+.f64 y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 y x)) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x)))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x)))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 (+.f64 x #s(literal 0 binary64)) y)
(-.f64 (/.f64 (.f64 y y) (neg.f64 (+.f64 y x))) (/.f64 (.f64 x x) (neg.f64 (+.f64 y x))))
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 x y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 y))
(+.f64 (.f64 x (/.f64 x (+.f64 y x))) (neg.f64 (.f64 y (/.f64 y (+.f64 y x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(+.f64 (neg.f64 y) (neg.f64 (neg.f64 x)))
(+.f64 (neg.f64 y) x)
(+.f64 x (neg.f64 y))

eval109.0ms (3%)

Memory: 20.4MiB live, 58.1MiB allocated
Compiler: Compiled 8 751 to 1 405 computations (83.9% saved)

prune5.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	324	2	326
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	324	3	327

Accuracy

100.0%

Counts

327 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
✓	100.0%	(sqrt.f64 (fabs.f64 (-.f64 x y)))
▶	52.8%	(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))

Compiler

Compiled 22 to 20 computations (9.1% saved)

simplify105.0ms (2.8%)

Memory

-38.6MiB live, 1.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 y x))
cost-diff	0	(fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
cost-diff	0	(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- x y) (neg.f64 y))
cost-diff	0	(fabs.f64 #s(approx (- x y) (neg.f64 y)))
cost-diff	0	(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	57
0	21	57
1	32	57
2	41	57
3	54	57
4	83	57
5	133	57
6	168	57
7	207	57
8	223	57
9	227	57
0	227	57

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
#s(literal 1 binary64)
(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (-.f64 y x))
(-.f64 y x)
y
x

Outputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)))))
#s(literal 1 binary64)
(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (-.f64 y x))
(/.f64 #s(literal -1 binary64) (-.f64 x y))
(-.f64 y x)
y
x

localize30.0ms (0.8%)

Memory

24.6MiB live, 24.6MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (-.f64 y x))
accuracy	0.09765625	(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
accuracy	0.24609375	(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
accuracy	0.0	(neg.f64 y)
accuracy	0.0	(fabs.f64 #s(approx (- x y) (neg.f64 y)))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
accuracy	31.16304545149915	#s(approx (- x y) (neg.f64 y))

Samples

21.0ms

256×

valid

Compiler

Compiled 107 to 27 computations (74.8% saved)

Precisions

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

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

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

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

ival-fabs: 2.0ms (15.8% of total)

ival-neg: 1.0ms (7.9% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

8 → 43

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (-.f64 y x))

Outputs
(sqrt (fabs (- x y)))
(fabs (- x y))
(* -1 y)
(- x y)
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (fabs (/ 1 (- y x))))
(fabs (/ 1 (- y x)))
(/ 1 y)
(+ (/ 1 y) (/ x (pow y 2)))
(+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))
(+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))
x
(* x (+ 1 (* -1 (/ y x))))
(/ -1 x)
(/ (- (* -1 (/ y x)) 1) x)
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) x)
(/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) x)
(sqrt (fabs (neg (+ y (* -1 x)))))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(sqrt (/ 1 (fabs (/ 1 (+ y (* -1 x))))))
(sqrt (fabs (/ 1 (+ y (* -1 x)))))
(fabs (/ 1 (+ y (* -1 x))))
(* -1 (/ (+ 1 (/ y x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x))
(+ x (* -1 y))
(- (* -1 (/ y (pow x 2))) (/ 1 x))
(- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(* y (- (/ x y) 1))
(/ (+ 1 (/ x y)) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) y)
(/ (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) y)
(sqrt (fabs (+ x (* -1 y))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(sqrt (/ 1 (fabs (/ -1 (+ x (* -1 y))))))
(sqrt (fabs (/ -1 (+ x (* -1 y)))))
(fabs (/ -1 (+ x (* -1 y))))
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) y))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (/ 1 (sqrt (fabs (/ 1 (- y x))))) (sqrt (fabs (/ 1 (- y x)))) (fabs (/ 1 (- y x))) (/ 1 (- y x)))
1.0ms	y	@	inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (/ 1 (sqrt (fabs (/ 1 (- y x))))) (sqrt (fabs (/ 1 (- y x)))) (fabs (/ 1 (- y x))) (/ 1 (- y x)))
1.0ms	y	@	-inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (/ 1 (sqrt (fabs (/ 1 (- y x))))) (sqrt (fabs (/ 1 (- y x)))) (fabs (/ 1 (- y x))) (/ 1 (- y x)))
1.0ms	x	@	inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (/ 1 (sqrt (fabs (/ 1 (- y x))))) (sqrt (fabs (/ 1 (- y x)))) (fabs (/ 1 (- y x))) (/ 1 (- y x)))
1.0ms	x	@	0	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (neg y) (/ 1 (sqrt (fabs (/ 1 (- y x))))) (sqrt (fabs (/ 1 (- y x)))) (fabs (/ 1 (- y x))) (/ 1 (- y x)))

simplify213.0ms (5.8%)

Memory

-2.7MiB live, 79.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	407
1	414	393
2	1071	356
3	4168	350
0	8341	333

Stop Event

1×	iter limit
1×	node limit

Counts

43 → 42

Calls

Call 1

Inputs
(sqrt (fabs (- x y)))
(fabs (- x y))
(* -1 y)
(- x y)
(sqrt (/ 1 (fabs (/ 1 (- y x)))))
(sqrt (fabs (/ 1 (- y x))))
(fabs (/ 1 (- y x)))
(/ 1 y)
(+ (/ 1 y) (/ x (pow y 2)))
(+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))
(+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))
x
(* x (+ 1 (* -1 (/ y x))))
(/ -1 x)
(/ (- (* -1 (/ y x)) 1) x)
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) x)
(/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) x)
(sqrt (fabs (neg (+ y (* -1 x)))))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(sqrt (/ 1 (fabs (/ 1 (+ y (* -1 x))))))
(sqrt (fabs (/ 1 (+ y (* -1 x)))))
(fabs (/ 1 (+ y (* -1 x))))
(* -1 (/ (+ 1 (/ y x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x))
(+ x (* -1 y))
(- (* -1 (/ y (pow x 2))) (/ 1 x))
(- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(* y (- (/ x y) 1))
(/ (+ 1 (/ x y)) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) y)
(/ (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) y)
(sqrt (fabs (+ x (* -1 y))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(sqrt (/ 1 (fabs (/ -1 (+ x (* -1 y))))))
(sqrt (fabs (/ -1 (+ x (* -1 y)))))
(fabs (/ -1 (+ x (* -1 y))))
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) y))

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

rewrite135.0ms (3.6%)

Memory

2.3MiB live, 111.0MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	50
0	21	49
1	73	48
2	409	42
3	3929	38
0	9322	38

Stop Event

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

Counts

8 → 388

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (-.f64 y x))

Outputs
(*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 #s(approx (- x y) y))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fabs.f64 #s(approx (- x y) y))))
(pow.f64 (pow.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 1/2 binary64))
(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))
(exp.f64 (fma.f64 (log.f64 (fabs.f64 #s(approx (- x y) y))) #s(literal 1/4 binary64) (*.f64 (log.f64 (fabs.f64 #s(approx (- x y) y))) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (fabs.f64 #s(approx (- x y) y))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 #s(approx (- x y) y))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (- x y) y)))
(fabs.f64 (-.f64 #s(approx (- x y) y) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 #s(approx (- x y) y)))
(fabs.f64 #s(approx (- x y) y))
(exp.f64 (log.f64 (fabs.f64 #s(approx (- x y) y))))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- x y) y)))
(*.f64 #s(literal 1 binary64) #s(approx (- x y) y))
#s(approx (- x y) y)
(neg.f64 (neg.f64 #s(approx (- x y) y)))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- x y) y)))
(.f64 (.f64 y y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(*.f64 y #s(literal 1 binary64))
(pow.f64 (/.f64 y (*.f64 y y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 y #s(literal 1 binary64))
(/.f64 (*.f64 y y) y)
(/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64))))
(/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 y #s(literal -1 binary64))
(/.f64 y #s(literal 1 binary64))
(neg.f64 y)
(fma.f64 (*.f64 y y) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 y #s(literal 1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) y) y)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) y)
(-.f64 #s(literal 0 binary64) y)
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(exp.f64 (log.f64 y))
(+.f64 #s(literal 0 binary64) y)
(+.f64 y #s(literal 0 binary64))
y
(.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 y x) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 (-.f64 y x) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fabs.f64 (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (pow.f64 (-.f64 y x) #s(literal -2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (fabs.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (fabs.f64 (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (fabs.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 y x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (.f64 (-.f64 y x) x) (fma.f64 (-.f64 y x) y (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 y x)))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 y x)))
(.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 y x)))
(.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (pow.f64 (fabs.f64 (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (fabs.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (-.f64 y x) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) #s(literal -1 binary64))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal -1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 y x))))
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64))
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (-.f64 y x))
(*.f64 (-.f64 y x) (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64))))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal -1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (-.f64 y x) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (fabs.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal -1/4 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 y x))))
(/.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64))
(/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 y x))))
(sqrt.f64 (-.f64 y x))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (-.f64 y x))))
(exp.f64 (fma.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64))) #s(literal -1/2 binary64) (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 y x))))
(.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal -1/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 y x) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 y x))
(.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 (-.f64 y x) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (fma.f64 (-.f64 y x) y (.f64 x x)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (pow.f64 (-.f64 y x) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 y x)))
(.f64 (pow.f64 (fabs.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (fma.f64 (-.f64 y x) y (.f64 x x)))))
(*.f64 (pow.f64 (fabs.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1/2 binary64)))
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(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 y x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 y x) x) (fma.f64 (-.f64 y x) y (.f64 x x)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 y x) y) (fma.f64 (-.f64 y x) y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 y x))
(/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 y x) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 y x))
(neg.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal -2 binary64)) y (*.f64 (pow.f64 (-.f64 y x) #s(literal -2 binary64)) x))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal -2 binary64)) x (*.f64 (pow.f64 (-.f64 y x) #s(literal -2 binary64)) y))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 y x)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (-.f64 y x) x) (.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 y y)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 y y) (.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 y x) x)))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (.f64 y x) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))))
(fma.f64 (.f64 (-.f64 y x) x) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (*.f64 y y) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))))
(fma.f64 (.f64 y y) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (*.f64 (-.f64 y x) x) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))))
(fma.f64 y (pow.f64 (-.f64 y x) #s(literal -2 binary64)) (*.f64 x (pow.f64 (-.f64 y x) #s(literal -2 binary64))))
(fma.f64 x (pow.f64 (-.f64 y x) #s(literal -2 binary64)) (*.f64 y (pow.f64 (-.f64 y x) #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(fabs.f64 (-.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fabs.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (log.f64 (-.f64 y x))))
(+.f64 (.f64 y (pow.f64 (-.f64 y x) #s(literal -2 binary64))) (.f64 x (pow.f64 (-.f64 y x) #s(literal -2 binary64))))
(+.f64 (.f64 x (pow.f64 (-.f64 y x) #s(literal -2 binary64))) (.f64 y (pow.f64 (-.f64 y x) #s(literal -2 binary64))))
(+.f64 (.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (.f64 (*.f64 y x) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 (-.f64 y x) x) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (.f64 (.f64 y y) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 y y) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (.f64 (.f64 (-.f64 y x) x) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))))
(+.f64 (.f64 (pow.f64 (-.f64 y x) #s(literal -2 binary64)) y) (.f64 (pow.f64 (-.f64 y x) #s(literal -2 binary64)) x))
(+.f64 (.f64 (pow.f64 (-.f64 y x) #s(literal -2 binary64)) x) (.f64 (pow.f64 (-.f64 y x) #s(literal -2 binary64)) y))
(+.f64 (.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 y x)))
(+.f64 (.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (-.f64 y x) x)) (.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 y y)))
(+.f64 (.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 y y)) (.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (-.f64 y x) x)))
(+.f64 #s(literal 0 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))

eval127.0ms (3.4%)

Memory: -11.1MiB live, 76.2MiB allocated
Compiler: Compiled 5 010 to 1 000 computations (80% saved)

prune4.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	295	3	298
Fresh	0	0	0
Picked	2	0	2
Done	1	0	1
Total	298	3	301

Accuracy

100.0%

Counts

301 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x)))
▶	100.0%	(sqrt.f64 (-.f64 y x))
▶	52.8%	(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify37.0ms (1%)

Memory

-26.8MiB live, 11.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sqrt.f64 (-.f64 y x))
cost-diff	0	(-.f64 y x)
cost-diff	0	(/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x)))
cost-diff	0	(-.f64 y x)
cost-diff	0	(sqrt.f64 (-.f64 y x))
cost-diff	0	#s(approx (- x y) y)
cost-diff	0	(fabs.f64 #s(approx (- x y) y))
cost-diff	0	(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	45
0	14	45
1	21	45
2	31	45
3	47	45
4	83	45
5	157	45
6	242	45
7	442	45
8	758	45
9	823	45
10	839	45
11	840	45
0	840	45

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))
(fabs.f64 #s(approx (- x y) y))
#s(approx (- x y) y)
y
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
y
x
(/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x)))
(-.f64 y x)
y
x
(sqrt.f64 (-.f64 y x))

Outputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))
(fabs.f64 #s(approx (- x y) y))
#s(approx (- x y) y)
y
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
y
x
(/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x)))
(-.f64 y x)
y
x
(sqrt.f64 (-.f64 y x))

localize46.0ms (1.2%)

Memory

9.2MiB live, 45.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 y x)
accuracy	0.0078125	(sqrt.f64 (-.f64 y x))
accuracy	0.51953125	(/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x)))
accuracy	0.0	(-.f64 y x)
accuracy	0.0078125	(sqrt.f64 (-.f64 y x))
accuracy	0.0	(fabs.f64 #s(approx (- x y) y))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))
accuracy	62.58456478736264	#s(approx (- x y) y)

Samples

38.0ms

256×

valid

Compiler

Compiled 86 to 19 computations (77.9% saved)

Precisions

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

ival-sub: 3.0ms (34% of total)

ival-sqrt: 3.0ms (34% of total)

ival-div: 1.0ms (11.3% of total)

ival-fabs: 1.0ms (11.3% of total)

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

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

series9.0ms (0.2%)

Memory

23.2MiB live, 23.2MiB allocated

Counts

6 → 47

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))
(fabs.f64 #s(approx (- x y) y))
#s(approx (- x y) y)
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
(/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x)))

Outputs
(sqrt (fabs (- x y)))
(fabs (- x y))
(* -1 y)
(- x y)
(sqrt y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
y
(+ y (* -1 x))
x
(* x (+ 1 (* -1 (/ y x))))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 x)
(* x (- (/ y x) 1))
(sqrt (fabs (neg (+ y (* -1 x)))))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(+ x (* -1 y))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(- y x)
(* y (- (/ x y) 1))
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(* y (+ 1 (* -1 (/ x y))))
(sqrt (fabs (+ x (* -1 y))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (+ (* -1 (sqrt (/ 1 y))) (* -1/2 (* x (sqrt (/ 1 (pow y 3))))))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 y))) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 y))) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (sqrt (- y x)) (- y x) (/ (- y x) (sqrt (- y x))))
2.0ms	y	@	-inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (sqrt (- y x)) (- y x) (/ (- y x) (sqrt (- y x))))
1.0ms	x	@	-inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (sqrt (- y x)) (- y x) (/ (- y x) (sqrt (- y x))))
1.0ms	y	@	inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (sqrt (- y x)) (- y x) (/ (- y x) (sqrt (- y x))))
1.0ms	y	@	0	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) (sqrt (- y x)) (- y x) (/ (- y x) (sqrt (- y x))))

simplify169.0ms (4.6%)

Memory

1.1MiB live, 236.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	864
1	597	768
2	2175	748
3	4932	736
0	8432	695

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 45

Calls

Call 1

Inputs
(sqrt (fabs (- x y)))
(fabs (- x y))
(* -1 y)
(- x y)
(sqrt y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
y
(+ y (* -1 x))
x
(* x (+ 1 (* -1 (/ y x))))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 x)
(* x (- (/ y x) 1))
(sqrt (fabs (neg (+ y (* -1 x)))))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(+ x (* -1 y))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(- y x)
(* y (- (/ x y) 1))
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(* y (+ 1 (* -1 (/ x y))))
(sqrt (fabs (+ x (* -1 y))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (+ (* -1 (sqrt (/ 1 y))) (* -1/2 (* x (sqrt (/ 1 (pow y 3))))))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 y))) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 y))) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))))

Outputs
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(sqrt y)
(sqrt.f64 y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) x (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) x (sqrt.f64 y))
y
(+ y (* -1 x))
(-.f64 y x)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(.f64 (fma.f64 (.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 (.f64 y (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(.f64 (fma.f64 (.f64 (.f64 y y) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64) (fma.f64 (.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 y x)
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* (sqrt x) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (neg.f64 x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64)) (.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64)) (pow.f64 y #s(literal 3 binary64)) (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) y)))) (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(+ x (* -1 y))
(-.f64 x y)
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) y (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) y)) y (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(- y x)
(-.f64 y x)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) y)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(sqrt (fabs (+ x (* -1 y))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/16 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) y)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (+ (* -1 (sqrt (/ 1 y))) (* -1/2 (* x (sqrt (/ 1 (pow y 3))))))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)
(* -1 (* y (+ (* -1 (sqrt (/ 1 y))) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))))
(.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)
(* -1 (* y (+ (* -1 (sqrt (/ 1 y))) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/16 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) y)

rewrite213.0ms (5.8%)

Memory

-24.8MiB live, 212.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
0	14	29
1	55	29
2	377	29
3	4420	29
0	9534	29

Stop Event

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

Counts

6 → 510

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))
(fabs.f64 #s(approx (- x y) y))
#s(approx (- x y) y)
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
(/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x)))

Outputs
(*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fabs.f64 #s(approx (- x y) y))))
(pow.f64 (pow.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 1/2 binary64))
(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))
(exp.f64 (fma.f64 (log.f64 (fabs.f64 #s(approx (- x y) y))) #s(literal 1/4 binary64) (*.f64 (log.f64 (fabs.f64 #s(approx (- x y) y))) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (fabs.f64 #s(approx (- x y) y))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fabs.f64 #s(approx (- x y) y)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 #s(approx (- x y) y))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (- x y) y)))
(fabs.f64 (-.f64 #s(approx (- x y) y) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 #s(approx (- x y) y)))
(fabs.f64 #s(approx (- x y) y))
(exp.f64 (log.f64 (fabs.f64 #s(approx (- x y) y))))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- x y) y)))
(*.f64 #s(literal 1 binary64) #s(approx (- x y) y))
#s(approx (- x y) y)
(neg.f64 (neg.f64 #s(approx (- x y) y)))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- x y) y)))
(.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (.f64 x x)))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (-.f64 y x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 y x)))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (-.f64 y x))) (+.f64 (pow.f64 (.f64 (-.f64 y x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y x) x) (-.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 y x)) (pow.f64 y #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 y x) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 (-.f64 y x) y (.f64 x x))))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (sqrt.f64 (-.f64 y x))))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (sqrt.f64 (-.f64 y x))))
(.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (sqrt.f64 (-.f64 y x))) (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(*.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (-.f64 y x))) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(.f64 (.f64 (+.f64 (-.f64 y x) (/.f64 (.f64 y x) (-.f64 y x))) (sqrt.f64 (-.f64 y x))) (pow.f64 (+.f64 (-.f64 y x) (/.f64 (.f64 y x) (-.f64 y x))) #s(literal -1 binary64)))
(.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (sqrt.f64 (-.f64 y x))))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (-.f64 y x))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y x)))
(.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (/.f64 (-.f64 y x) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (-.f64 y x)))))
(.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))
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(/.f64 (neg.f64 (.f64 (+.f64 (-.f64 y x) (/.f64 (.f64 y x) (-.f64 y x))) (sqrt.f64 (-.f64 y x)))) (neg.f64 (+.f64 (-.f64 y x) (/.f64 (*.f64 y x) (-.f64 y x)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) (sqrt.f64 (-.f64 y x))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (-.f64 y x))))
(/.f64 (-.f64 (.f64 (neg.f64 y) (sqrt.f64 (-.f64 y x))) (.f64 (sqrt.f64 (-.f64 y x)) (neg.f64 x))) (-.f64 y x))
(/.f64 (-.f64 (.f64 (neg.f64 y) (/.f64 (sqrt.f64 (-.f64 y x)) x)) (sqrt.f64 (-.f64 y x))) (.f64 (sqrt.f64 (-.f64 y x)) (/.f64 (sqrt.f64 (-.f64 y x)) x)))
(/.f64 (-.f64 (.f64 (neg.f64 y) (sqrt.f64 (-.f64 y x))) (.f64 (sqrt.f64 (-.f64 y x)) x)) (-.f64 y x))
(/.f64 (-.f64 (sqrt.f64 (-.f64 y x)) (.f64 (/.f64 (sqrt.f64 (-.f64 y x)) y) (neg.f64 x))) (.f64 (/.f64 (sqrt.f64 (-.f64 y x)) y) (sqrt.f64 (-.f64 y x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 y x)) x)) (.f64 (/.f64 (sqrt.f64 (-.f64 y x)) y) #s(literal 1 binary64))) (*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) y) (/.f64 (sqrt.f64 (-.f64 y x)) x)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 y x)) (.f64 (/.f64 (sqrt.f64 (-.f64 y x)) y) x)) (.f64 (/.f64 (sqrt.f64 (-.f64 y x)) y) (sqrt.f64 (-.f64 y x))))
(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 y x)) y) (.f64 (sqrt.f64 (-.f64 y x)) (neg.f64 x))) (-.f64 y x))
(/.f64 (-.f64 (.f64 y (/.f64 (sqrt.f64 (-.f64 y x)) x)) (sqrt.f64 (-.f64 y x))) (.f64 (sqrt.f64 (-.f64 y x)) (/.f64 (sqrt.f64 (-.f64 y x)) x)))
(/.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) (neg.f64 x))) (-.f64 y x))
(/.f64 (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 (-.f64 y x)) x) (sqrt.f64 (-.f64 y x))) (*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 (sqrt.f64 (-.f64 y x)) x)))
(/.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) x)) (-.f64 y x))
(/.f64 (+.f64 (sqrt.f64 (-.f64 y x)) (.f64 (/.f64 (sqrt.f64 (-.f64 y x)) y) (neg.f64 x))) (.f64 (/.f64 (sqrt.f64 (-.f64 y x)) y) (sqrt.f64 (-.f64 y x))))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 y x)) x) (.f64 (/.f64 (sqrt.f64 (-.f64 y x)) y) #s(literal 1 binary64))) (.f64 (/.f64 (sqrt.f64 (-.f64 y x)) y) (/.f64 (sqrt.f64 (-.f64 y x)) x)))
(/.f64 (+.f64 (sqrt.f64 (-.f64 y x)) (.f64 (/.f64 (sqrt.f64 (-.f64 y x)) y) x)) (.f64 (/.f64 (sqrt.f64 (-.f64 y x)) y) (sqrt.f64 (-.f64 y x))))
(/.f64 (fma.f64 (sqrt.f64 (-.f64 y x)) y (*.f64 (sqrt.f64 (-.f64 y x)) (neg.f64 x))) (-.f64 y x))
(/.f64 (fma.f64 y (/.f64 (sqrt.f64 (-.f64 y x)) x) (sqrt.f64 (-.f64 y x))) (*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 (sqrt.f64 (-.f64 y x)) x)))
(/.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) (-.f64 y x))
(/.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (-.f64 y x))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (-.f64 y x))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) (fma.f64 (.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (-.f64 y x))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) (fma.f64 y y (.f64 x x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (-.f64 y x))) (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 (.f64 (+.f64 (-.f64 y x) (/.f64 (.f64 y x) (-.f64 y x))) (sqrt.f64 (-.f64 y x))) (+.f64 (-.f64 y x) (/.f64 (*.f64 y x) (-.f64 y x))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 y x) y (.f64 x x)))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))))
(/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)))
(/.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 y x) (/.f64 (.f64 y x) (-.f64 y x))) (.f64 (+.f64 (-.f64 y x) (/.f64 (*.f64 y x) (-.f64 y x))) (sqrt.f64 (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (-.f64 y x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (sqrt.f64 (-.f64 y x)) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x))) (sqrt.f64 (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (-.f64 y x))))
(/.f64 (sqrt.f64 (-.f64 y x)) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64))
(/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x)))
(neg.f64 (sqrt.f64 (-.f64 y x)))
(fma.f64 (/.f64 x (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (/.f64 y (sqrt.f64 (-.f64 y x))))
(fma.f64 (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 y (sqrt.f64 (-.f64 y x))))
(fma.f64 (/.f64 y (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (neg.f64 x)))
(fma.f64 (/.f64 y (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (/.f64 x (sqrt.f64 (-.f64 y x))))
(fma.f64 (/.f64 y (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 (-.f64 y x) y (.f64 x x))) (.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (neg.f64 x)))
(fma.f64 (/.f64 y (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 x (sqrt.f64 (-.f64 y x))))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (/.f64 y (sqrt.f64 (-.f64 y x))))
(fma.f64 (.f64 y #s(literal 1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (neg.f64 x)))
(fma.f64 (*.f64 y #s(literal 1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 (-.f64 y x))))
(fma.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (-.f64 y x))) (/.f64 y (sqrt.f64 (-.f64 y x))))
(fma.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 (-.f64 y x))) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 (-.f64 y x))) (/.f64 x (sqrt.f64 (-.f64 y x))))
(fma.f64 (neg.f64 x) (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (/.f64 y (sqrt.f64 (-.f64 y x))))
(fma.f64 (neg.f64 y) (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (neg.f64 x)))
(fma.f64 (neg.f64 y) (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 (-.f64 y x))))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (neg.f64 x) (/.f64 y (sqrt.f64 (-.f64 y x))))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) y (*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (neg.f64 x)))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) y (/.f64 x (sqrt.f64 (-.f64 y x))))
(fma.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) x (/.f64 y (sqrt.f64 (-.f64 y x))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (-.f64 y x))) (/.f64 y (sqrt.f64 (-.f64 y x))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 (-.f64 y x))) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 (-.f64 y x))) (/.f64 x (sqrt.f64 (-.f64 y x))))
(fma.f64 (/.f64 y (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64) (*.f64 (/.f64 x (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)))
(fma.f64 y (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (neg.f64 x)))
(fma.f64 y (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 (-.f64 y x))))
(fma.f64 x (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (/.f64 y (sqrt.f64 (-.f64 y x))))
(sqrt.f64 (-.f64 y x))
(-.f64 (/.f64 (.f64 y (/.f64 y (-.f64 y x))) (sqrt.f64 (-.f64 y x))) (/.f64 (.f64 x (/.f64 x (-.f64 y x))) (sqrt.f64 (-.f64 y x))))
(-.f64 (/.f64 (pow.f64 (/.f64 y (sqrt.f64 (-.f64 y x))) #s(literal 3 binary64)) (+.f64 (-.f64 y x) (/.f64 (.f64 y x) (-.f64 y x)))) (/.f64 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 y x))) #s(literal 3 binary64)) (+.f64 (-.f64 y x) (/.f64 (.f64 y x) (-.f64 y x)))))
(-.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 y x)) y) (-.f64 y x)) (/.f64 (.f64 (sqrt.f64 (-.f64 y x)) x) (-.f64 y x)))
(-.f64 (/.f64 (.f64 y y) (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) (/.f64 (.f64 x x) (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (-.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (-.f64 y x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (sqrt.f64 (-.f64 y x))) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (sqrt.f64 (-.f64 y x))))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 y x))) (sqrt.f64 (-.f64 y x)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 y x)))
(-.f64 (/.f64 y (sqrt.f64 (-.f64 y x))) (/.f64 x (sqrt.f64 (-.f64 y x))))
(hypot.f64 (/.f64 y (sqrt.f64 (-.f64 y x))) (/.f64 x (sqrt.f64 (-.f64 y x))))
(exp.f64 (fma.f64 (log.f64 (-.f64 y x)) #s(literal 1/4 binary64) (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 y x))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 y x))))
(+.f64 (.f64 (/.f64 y (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) (.f64 (/.f64 x (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (neg.f64 x)) (/.f64 y (sqrt.f64 (-.f64 y x))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 y x)))
(+.f64 (/.f64 x (sqrt.f64 (-.f64 y x))) (/.f64 y (sqrt.f64 (-.f64 y x))))
(+.f64 (/.f64 y (sqrt.f64 (-.f64 y x))) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (neg.f64 x)))
(+.f64 (/.f64 y (sqrt.f64 (-.f64 y x))) (/.f64 x (sqrt.f64 (-.f64 y x))))

eval127.0ms (3.5%)

Memory: 22.0MiB live, 222.6MiB allocated
Compiler: Compiled 19 651 to 1 605 computations (91.8% saved)

prune36.0ms (1%)

Memory

-16.7MiB live, 59.4MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	933	2	935
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	934	4	938

Accuracy

100.0%

Counts

938 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x)))
✓	100.0%	(sqrt.f64 (-.f64 y x))
▶	49.9%	(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
▶	51.3%	#s(approx (sqrt (- y x)) (sqrt.f64 y))

Compiler

Compiled 26 to 21 computations (19.2% saved)

simplify7.0ms (0.2%)

Memory

15.0MiB live, 15.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- y x) (neg.f64 x))
cost-diff	0	(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
cost-diff	0	(sqrt.f64 y)
cost-diff	0	#s(approx (sqrt (- y x)) (sqrt.f64 y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
0	12	26
1	17	26
2	22	26
3	29	26
4	38	26
5	55	26
6	82	26
7	113	26
8	161	26
9	177	26
10	185	26
0	185	26

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))
(sqrt.f64 y)
y
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
x

Outputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))
(sqrt.f64 y)
y
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
x

localize21.0ms (0.6%)

Memory

5.9MiB live, 43.5MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 x)
accuracy	0.0078125	(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
accuracy	32.00109874352336	#s(approx (- y x) (neg.f64 x))
accuracy	0.0	(sqrt.f64 y)
accuracy	14.198923705277569	#s(approx (sqrt (- y x)) (sqrt.f64 y))

Samples

12.0ms	188×	0	valid
3.0ms	68×	0	invalid

Compiler

Compiled 45 to 17 computations (62.2% saved)

Precisions

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

ival-sqrt: 6.0ms (73% of total)

ival-sub: 1.0ms (12.2% of total)

ival-neg: 1.0ms (12.2% of total)

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

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

series3.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

5 → 30

Calls

Call 1

Inputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))
(sqrt.f64 y)
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)

Outputs
(sqrt y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
y
(+ y (* -1 x))
(* -1 x)
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* x (- (/ y x) 1))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(- y x)
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(* y (+ 1 (* -1 (/ x y))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(* -1 (* y (- (/ x y) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((sqrt (- y x)) (sqrt y) (sqrt (- y x)) (- y x) (neg x))
0.0ms	x	@	inf	((sqrt (- y x)) (sqrt y) (sqrt (- y x)) (- y x) (neg x))
0.0ms	y	@	inf	((sqrt (- y x)) (sqrt y) (sqrt (- y x)) (- y x) (neg x))
0.0ms	x	@	-inf	((sqrt (- y x)) (sqrt y) (sqrt (- y x)) (- y x) (neg x))
0.0ms	y	@	0	((sqrt (- y x)) (sqrt y) (sqrt (- y x)) (- y x) (neg x))

simplify231.0ms (6.2%)

Memory

-26.4MiB live, 259.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	678
1	516	633
2	1833	610
3	4083	598
0	8162	563

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 29

Calls

Call 1

Inputs
(sqrt y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
y
(+ y (* -1 x))
(* -1 x)
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* x (- (/ y x) 1))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(- y x)
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(* y (+ 1 (* -1 (/ x y))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(* -1 (* y (- (/ x y) 1)))

Outputs
(sqrt y)
(sqrt.f64 y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) x (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) x (sqrt.f64 y))
y
(+ y (* -1 x))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(.f64 (fma.f64 (.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 y (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(.f64 (fma.f64 (.f64 (.f64 y y) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))) x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 (* (sqrt x) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (neg.f64 x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64)) (.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64)) (pow.f64 y #s(literal 3 binary64)) (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) y)))) (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal 1/8 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) y (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) y)) y (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(- y x)
(-.f64 y x)
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) y)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/16 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) y)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)

rewrite122.0ms (3.3%)

Memory

13.3MiB live, 173.0MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	24
0	12	24
1	34	24
2	183	24
3	1715	21
0	9653	21

Stop Event

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

Counts

5 → 59

Calls

Call 1

Inputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))
(sqrt.f64 y)
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)

Outputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 y))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/4 binary64))
(pow.f64 y #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (*.f64 y y) #s(literal 0 binary64))) (sqrt.f64 (-.f64 y #s(literal 0 binary64))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 0 binary64))) (sqrt.f64 (fma.f64 y y (-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 0 binary64))))))
(sqrt.f64 y)
(exp.f64 (fma.f64 (log.f64 y) #s(literal 1/4 binary64) (*.f64 (log.f64 y) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(approx (- y x) x) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- y x) x) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(approx (- y x) x)))
(pow.f64 (pow.f64 #s(approx (- y x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (- y x) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (- y x) x) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- y x) x))
(exp.f64 (fma.f64 (log.f64 #s(approx (- y x) x)) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(approx (- y x) x)) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 #s(approx (- y x) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- y x) x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- y x) x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(approx (- y x) x)) #s(literal 1/2 binary64)))
#s(approx (- y x) x)
(exp.f64 (log.f64 #s(approx (- y x) x)))
(*.f64 #s(literal -1 binary64) x)
(.f64 (.f64 x x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 0 binary64) x) (fma.f64 x x (*.f64 (/.f64 #s(literal 0 binary64) x) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal 0 binary64) (.f64 x x)) (fma.f64 x x (.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64)) (*.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 x x) x)
(/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64)))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))
(neg.f64 x)
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64)))) x)
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) x)
(-.f64 #s(literal 0 binary64) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (log.f64 x))
(+.f64 #s(literal 0 binary64) x)
(+.f64 x #s(literal 0 binary64))
x

eval8.0ms (0.2%)

Memory: 12.8MiB live, 12.8MiB allocated
Compiler: Compiled 1 346 to 344 computations (74.4% saved)

prune13.0ms (0.3%)

Memory

-27.8MiB live, 10.3MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	81	4	85

Accuracy

100.0%

Counts

85 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x)))
✓	100.0%	(sqrt.f64 (-.f64 y x))
✓	49.9%	(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
✓	51.3%	#s(approx (sqrt (- y x)) (sqrt.f64 y))

Compiler

Compiled 81 to 49 computations (39.5% saved)

regimes27.0ms (0.7%)

Memory

0.0MiB live, 45.0MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))
(sqrt.f64 (-.f64 y x))
(sqrt.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(/.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)))))

Outputs
(sqrt.f64 (-.f64 y x))

Calls

5 calls:

7.0ms	x
3.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
3.0ms	(-.f64 x y)
3.0ms	(fabs.f64 (-.f64 x y))
3.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
100.0%	1	`(fabs.f64 (-.f64 x y))`
100.0%	1	`(-.f64 x y)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes9.0ms (0.2%)

Memory

20.8MiB live, 20.8MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
(sqrt.f64 (fabs.f64 #s(approx (- x y) y)))

Outputs
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
#s(approx (sqrt (- y x)) (sqrt.f64 y))

Calls

5 calls:

2.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
2.0ms	(fabs.f64 (-.f64 x y))
2.0ms	(-.f64 x y)
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
84.9%	2	`x`
88.1%	2	`y`
63.2%	5	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
63.2%	5	`(fabs.f64 (-.f64 x y))`
63.2%	5	`(-.f64 x y)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes9.0ms (0.2%)

Memory

-20.8MiB live, 15.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))

Outputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))

Calls

5 calls:

4.0ms	(fabs.f64 (-.f64 x y))
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
1.0ms	(-.f64 x y)
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
51.3%	1	`(-.f64 x y)`
51.3%	1	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
51.3%	1	`(fabs.f64 (-.f64 x y))`
51.3%	1	`x`
51.3%	1	`y`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch12.0ms (0.3%)

Memory

19.7MiB live, 19.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	7.26199706460917e-196	3.4424732516563425e-187

Samples

5.0ms

144×

valid

Compiler

Compiled 134 to 136 computations (-1.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (38.3% of total)

ival-fabs: 1.0ms (38.3% of total)

ival-sqrt: 1.0ms (38.3% of total)

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

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

simplify63.0ms (1.7%)

Memory

-15.7MiB live, 58.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	21	29
2	25	29
3	31	29
4	42	29
5	59	29
6	117	29
7	375	29
8	3371	29

Stop Event

1×	node limit

Calls

Call 1

Inputs

(sqrt.f64 (-.f64 y x))

(if (<=.f64 y #s(literal 3331240651246993/9797766621314684873895700802803279209044463565243731922466831101232640732633100491228823617617764419367505179450247842283955649007454149170085442756585554871624752266571753841250508572690789992495054848 binary64)) (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #s(approx (sqrt (- y x)) (sqrt.f64 y)))

#s(approx (sqrt (- y x)) (sqrt.f64 y))

Outputs

(sqrt.f64 (-.f64 y x))

(if (<=.f64 y #s(literal 3331240651246993/9797766621314684873895700802803279209044463565243731922466831101232640732633100491228823617617764419367505179450247842283955649007454149170085442756585554871624752266571753841250508572690789992495054848 binary64)) (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #s(approx (sqrt (- y x)) (sqrt.f64 y)))

#s(approx (sqrt (- y x)) (sqrt.f64 y))

soundness499.0ms (13.5%)

Memory

-3.5MiB live, 366.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	864
1	597	768
2	2175	748
3	4932	736
0	8432	695
0	13	50
0	21	49
1	73	48
2	409	42
3	3929	38
0	9322	38
0	5	12
0	8	12
1	29	12
2	181	12
3	1669	12
0	8382	12

Stop Event

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

Compiler

Compiled 108 to 80 computations (25.9% saved)

preprocess30.0ms (0.8%)

Memory: 19.6MiB live, 57.0MiB allocated
Compiler: Compiled 76 to 46 computations (39.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	31
1	35	27
2	72	27
3	137	27
4	186	27
5	202	27
6	204	27
0	5	5
0	8	5
1	12	5
2	19	5
3	27	5
4	46	5
5	93	5
6	146	5
7	175	5
8	186	5
0	186	5

Iter	Nodes	Cost
0	13	57
0	21	57
1	32	57
2	41	57
3	54	57
4	83	57
5	133	57
6	168	57
7	207	57
8	223	57
9	227	57
0	227	57

Iter	Nodes	Cost
0	9	45
0	14	45
1	21	45
2	31	45
3	47	45
4	83	45
5	157	45
6	242	45
7	442	45
8	758	45
9	823	45
10	839	45
11	840	45
0	840	45

Iter	Nodes	Cost
0	9	26
0	12	26
1	17	26
2	22	26
3	29	26
4	38	26
5	55	26
6	82	26
7	113	26
8	161	26
9	177	26
10	185	26
0	185	26

Iter	Nodes	Cost
0	15	31
1	35	27
2	72	27
3	137	27
4	186	27
5	202	27
6	204	27
0	5	5
0	8	5
1	12	5
2	19	5
3	27	5
4	46	5
5	93	5
6	146	5
7	175	5
8	186	5
0	186	5

Iter	Nodes	Cost
0	13	57
0	21	57
1	32	57
2	41	57
3	54	57
4	83	57
5	133	57
6	168	57
7	207	57
8	223	57
9	227	57
0	227	57

Iter	Nodes	Cost
0	9	45
0	14	45
1	21	45
2	31	45
3	47	45
4	83	45
5	157	45
6	242	45
7	442	45
8	758	45
9	823	45
10	839	45
11	840	45
0	840	45

Iter	Nodes	Cost
0	9	26
0	12	26
1	17	26
2	22	26
3	29	26
4	38	26
5	55	26
6	82	26
7	113	26
8	161	26
9	177	26
10	185	26
0	185	26

start0.0ms (0%)

analyze0.0ms (0%)

sample669.0ms (18.1%)

explain56.0ms (1.5%)

preprocess18.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.2%)

localize15.0ms (0.4%)

series3.0ms (0.1%)

simplify129.0ms (3.5%)

rewrite369.0ms (10%)

eval109.0ms (3%)

prune5.0ms (0.1%)

simplify105.0ms (2.8%)

localize30.0ms (0.8%)

series9.0ms (0.2%)

simplify213.0ms (5.8%)

rewrite135.0ms (3.6%)

eval127.0ms (3.4%)

prune4.0ms (0.1%)

simplify37.0ms (1%)

localize46.0ms (1.2%)

series9.0ms (0.2%)

simplify169.0ms (4.6%)

rewrite213.0ms (5.8%)

eval127.0ms (3.5%)

prune36.0ms (1%)

simplify7.0ms (0.2%)

localize21.0ms (0.6%)

series3.0ms (0.1%)

simplify231.0ms (6.2%)

rewrite122.0ms (3.3%)

eval8.0ms (0.2%)

prune13.0ms (0.3%)

regimes27.0ms (0.7%)

regimes9.0ms (0.2%)

regimes9.0ms (0.2%)

bsearch12.0ms (0.3%)

simplify63.0ms (1.7%)

soundness499.0ms (13.5%)

preprocess30.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	31
1	35	27
2	72	27
3	137	27
4	186	27
5	202	27
6	204	27
0	5	5
0	8	5
1	12	5
2	19	5
3	27	5
4	46	5
5	93	5
6	146	5
7	175	5
8	186	5
0	186	5

Iter	Nodes	Cost
0	13	57
0	21	57
1	32	57
2	41	57
3	54	57
4	83	57
5	133	57
6	168	57
7	207	57
8	223	57
9	227	57
0	227	57

Iter	Nodes	Cost
0	9	45
0	14	45
1	21	45
2	31	45
3	47	45
4	83	45
5	157	45
6	242	45
7	442	45
8	758	45
9	823	45
10	839	45
11	840	45
0	840	45

Iter	Nodes	Cost
0	9	26
0	12	26
1	17	26
2	22	26
3	29	26
4	38	26
5	55	26
6	82	26
7	113	26
8	161	26
9	177	26
10	185	26
0	185	26