Metrics for Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze9.0ms (0.2%)

Memory

5.0MiB live, 5.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
66.7%	50%	25%	0.1%	0%	25%	0%	4
66.7%	50%	25%	0.1%	0%	25%	0%	5
80%	50%	12.5%	0.1%	0%	37.5%	0%	6
80%	50%	12.5%	0.1%	0%	37.5%	0%	7
88.9%	50%	6.2%	0.1%	0%	43.7%	0%	8
88.9%	50%	6.2%	0.1%	0%	43.7%	0%	9
94.1%	50%	3.1%	0.1%	0%	46.8%	0%	10
94.1%	50%	3.1%	0.1%	0%	46.8%	0%	11
97%	50%	1.6%	0.1%	0%	48.4%	0%	12

Compiler

Compiled 10 to 9 computations (10% saved)

sample860.0ms (16.7%)

Memory

6.6MiB live, 901.4MiB allocated

Samples

561.0ms	8 256×	0	valid
13.0ms	273×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 288.0ms

ival-add: 77.0ms (26.7% of total)

ival-mult: 74.0ms (25.7% of total)

ival-sqrt: 67.0ms (23.3% of total)

ival-sub: 55.0ms (19.1% of total)

ival-true: 6.0ms (2.1% of total)

exact: 5.0ms (1.7% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain195.0ms (3.8%)

Memory

1.7MiB live, 241.5MiB allocated

FPErrors

Click to see full error table

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

78.0ms

512×

valid

Compiler

Compiled 92 to 42 computations (54.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-sqrt: 29.0ms (75.9% of total)

ival-mult: 4.0ms (10.5% of total)

ival-sub: 3.0ms (7.8% of total)

ival-add: 2.0ms (5.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess73.0ms (1.4%)

Memory

9.5MiB live, 47.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	48
1	54	43
2	160	42
3	433	42
4	878	42
5	1222	42
6	1337	42
7	1357	42
0	7	8
0	11	8
1	19	8
2	38	8
3	65	8
4	129	8
5	247	8
6	389	8
7	437	8
8	460	8
0	460	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify12.0ms (0.2%)

Memory

20.2MiB live, 20.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 y (sqrt.f64 x))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	128	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	19	20
2	38	20
3	65	20
4	129	20
5	247	20
6	389	20
7	437	20
8	460	20
0	460	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize24.0ms (0.5%)

Memory

6.0MiB live, 41.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0	(sqrt.f64 x)
accuracy	0.0078125	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
accuracy	0.15234375	(*.f64 y (sqrt.f64 x))

Samples

16.0ms

256×

valid

Compiler

Compiled 42 to 16 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-sub: 5.0ms (51.7% of total)

ival-mult: 2.0ms (20.7% of total)

ival-sqrt: 2.0ms (20.7% of total)

ival-add: 1.0ms (10.3% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.5%)

Memory

-68.6MiB live, 7.2MiB allocated

Counts

4 → 19

Calls

Call 1

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

Outputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
1
(+ 1 (* -1 x))
(* (sqrt x) y)
(sqrt x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))

Calls

6 calls:

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

simplify105.0ms (2%)

Memory

40.7MiB live, 153.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	113
1	141	113
2	438	109
3	1296	109
4	4654	109
5	7388	109
0	8105	98

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 19

Calls

Call 1

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

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

rewrite162.0ms (3.2%)

Memory

-28.1MiB live, 210.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	11	17
1	46	17
2	357	17
3	5315	17
0	8974	16

Stop Event

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

Counts

4 → 252

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 (.f64 y x) (neg.f64 y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))) (fma.f64 y (fma.f64 y x (.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (pow.f64 (.f64 y (-.f64 (.f64 y x) (.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (.f64 y (-.f64 (.f64 y x) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y (-.f64 (.f64 y x) (.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)))) (fma.f64 (.f64 y (-.f64 (.f64 y x) (.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))) (-.f64 (.f64 y (-.f64 (.f64 y x) (.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 y x) (neg.f64 y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (fma.f64 (*.f64 y x) (neg.f64 y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1 binary64)) (fma.f64 (.f64 y x) (neg.f64 y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 (.f64 y x) (neg.f64 y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 y x) (neg.f64 y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 y x) y (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) (/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))))
(.f64 (fma.f64 (.f64 y x) y (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) (.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (pow.f64 (fma.f64 (.f64 y x) y (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) #s(literal -1 binary64))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))
(.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (-.f64 (.f64 (.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1 binary64))) (fma.f64 (*.f64 y x) y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1 binary64))) (+.f64 (fma.f64 (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 y x) y (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) #s(literal -1 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))))
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(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64)))
(exp.f64 (log1p.f64 x))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) x)
(*.f64 (exp.f64 (log.f64 y)) (sqrt.f64 x))
(.f64 (.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 (sqrt.f64 x) (exp.f64 (log.f64 y)))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 x) y)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 x)))

eval57.0ms (1.1%)

Memory: 2.9MiB live, 41.0MiB allocated
Compiler: Compiled 5 449 to 752 computations (86.2% saved)

prune7.0ms (0.1%)

Memory

27.7MiB live, 27.7MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	255	7	262
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	256	7	263

Accuracy

100.0%

Counts

263 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
▶	77.0%	(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (neg.f64 (/.f64 (.f64 (.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))
▶	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
	47.9%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (-.f64 (.f64 (.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
▶	67.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
▶	65.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	59.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))

Compiler

Compiled 228 to 154 computations (32.5% saved)

simplify240.0ms (4.7%)

Memory

-22.1MiB live, 128.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	128	(neg.f64 (/.f64 (.f64 (.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))
cost-diff	1728	(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (neg.f64 (/.f64 (.f64 (.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
cost-diff	0	(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	196
0	46	193
1	84	193
2	172	191
3	446	191
4	1166	191
5	2993	186
6	5951	186
7	7117	186
8	7517	186
9	7752	186
10	7822	186
11	7846	186
0	8411	184

Stop Event

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

Calls

Call 1

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

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

localize77.0ms (1.5%)

Memory

16.6MiB live, 53.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(fma.f64 (sqrt.f64 x) y x)
accuracy	0.125	(.f64 (.f64 y x) y)
accuracy	4.113868061315847	(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
accuracy	14.171928272885104	(/.f64 (.f64 (.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
accuracy	0.1171875	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
accuracy	0.1484375	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	4.615248721574116	(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
accuracy	21.338750824317536	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
accuracy	0	(sqrt.f64 x)
accuracy	0.078125	(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
accuracy	20.884467174428437	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	22.18218406788118	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0	(sqrt.f64 x)
accuracy	0.046875	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

Samples

59.0ms

256×

valid

Compiler

Compiled 386 to 55 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-sqrt: 19.0ms (43.5% of total)

ival-mult: 10.0ms (22.9% of total)

ival-add: 6.0ms (13.7% of total)

ival-div: 4.0ms (9.2% of total)

ival-sub: 2.0ms (4.6% of total)

ival-neg: 1.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series106.0ms (2.1%)

Memory

-17.6MiB live, 40.4MiB allocated

Counts

16 → 126

Calls

Call 1

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

Outputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(sqrt x)
1
(+ 1 (* -1 x))
(* (sqrt x) y)
(+ (* -1 x) (* (sqrt x) y))
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(sqrt (/ 1 x))
(/ 1 (- 1 (* (sqrt x) y)))
(+ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y))))
(+ (* x (- (+ (* x (- (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (- 1 (* (sqrt x) y)))) (* -1 (/ (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (* 2 (/ 1 (- 1 (* (sqrt x) y))))) (- 1 (* (sqrt x) y)))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y))))
(+ (* x (- (+ (* x (- (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2))) (+ (* x (- (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 3))) (* -1 (/ (- (/ 1 (- 1 (* (sqrt x) y))) (* -1 (/ (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (* 2 (/ 1 (- 1 (* (sqrt x) y))))) (- 1 (* (sqrt x) y))))) (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y))))) (* -1 (/ (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (* 2 (/ 1 (- 1 (* (sqrt x) y))))) (- 1 (* (sqrt x) y)))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y))))
(* -1 (/ (* x (pow y 2)) (- 1 (* (sqrt x) y))))
(* x (- (* -1 (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))
(* x (- (* x (+ (* -1 (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3))) (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2))))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))
(* x (- (* x (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2))) (* x (+ (* -1 (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 4))) (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 3))))))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))
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(/ (* x (pow y 2)) (- 1 (* (sqrt x) y)))
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(* x (pow y 2))
(+ x (* (sqrt x) y))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(- (* (sqrt (/ 1 x)) y) 1)
(* -1 (/ x (+ 1 (* (sqrt (/ 1 x)) y))))
(* x (- (/ 2 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (* -1 (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))))))
(* x (- (+ (/ 2 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (/ (pow y 2) (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (+ (* -1 (/ (- (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (* -1 (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))))))))
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(/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))
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(* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y))))
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(- (+ (* -1 (/ (pow y 2) (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3)))) (* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y))))) (/ (pow y 2) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))))
(- (+ (* -1 (/ (pow y 2) (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 4)))) (* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ (pow y 2) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (pow y 2) (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3)))))
(* x (+ 1 (* (sqrt (/ 1 x)) y)))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* -1 (/ x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (- (* 2 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (+ (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (* 2 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (+ (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))))) x)) (+ (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))) (+ (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (* 2 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(- (/ (pow y 2) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(- (* -1 (/ (- (* -1 (/ (pow y 2) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))) (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(- (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))) (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))) x)) (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(+ (* -1 (/ (- (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))) x)) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(+ (* -1 (/ (pow y 2) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(+ (* -1 (/ (+ (/ (pow y 2) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 2) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4)))) (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))) x)) (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
-1
(- (+ 1 (* y (- (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ x (- 1 x))))) (* -1 (sqrt x))))) x)
(* -1 (/ (* x (pow y 2)) (- 1 x)))
(* (pow y 2) (- (* -1 (* (sqrt (pow x 3)) (/ y (pow (- 1 x) 2)))) (/ x (- 1 x))))
(* (pow y 2) (- (* y (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 x) 2)))) (* -1 (/ (* (pow x 2) y) (pow (- 1 x) 3))))) (/ x (- 1 x))))
(* (pow y 2) (- (* y (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 x) 2)))) (* y (+ (* -1 (* (sqrt (pow x 5)) (/ y (pow (- 1 x) 4)))) (* -1 (/ (pow x 2) (pow (- 1 x) 3))))))) (/ x (- 1 x))))
(+ 1 (* (sqrt x) (/ y (- 1 x))))
(+ 1 (* y (- (/ (* x y) (pow (- 1 x) 2)) (* -1 (* (sqrt x) (/ 1 (- 1 x)))))))
(+ 1 (* y (- (* y (- (* (sqrt (pow x 3)) (/ y (pow (- 1 x) 3))) (* -1 (/ x (pow (- 1 x) 2))))) (* -1 (* (sqrt x) (/ 1 (- 1 x)))))))
(/ (* x (pow y 2)) (- 1 x))
(* (pow y 2) (+ (* (sqrt (pow x 3)) (/ y (pow (- 1 x) 2))) (/ x (- 1 x))))
(* (pow y 2) (+ (* y (- (/ (* (pow x 2) y) (pow (- 1 x) 3)) (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 x) 2)))))) (/ x (- 1 x))))
(* (pow y 2) (+ (* y (- (* y (- (* (sqrt (pow x 5)) (/ y (pow (- 1 x) 4))) (* -1 (/ (pow x 2) (pow (- 1 x) 3))))) (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 x) 2)))))) (/ x (- 1 x))))
x
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* y (- (/ 1 y) (+ (* -1 (sqrt x)) (/ x y))))
(* y (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (/ 1 y))) (+ (* -1 (sqrt x)) (/ x y))))
(* y (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (+ (* -1 (/ (* (pow (- 1 x) 2) (- x 1)) (* x (pow y 3)))) (/ 1 y)))) (+ (* -1 (sqrt x)) (+ (/ x y) (/ (pow (- 1 x) 3) (* x (pow y 3)))))))
(* y (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2)))) (/ 1 y)) (+ (* -1 (sqrt x)) (/ x y))))
(* y (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2)))) (+ (* -1 (/ (* (pow (- 1 x) 2) (- x 1)) (* x (pow y 3)))) (/ 1 y))) (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (* (sqrt (/ 1 x)) (/ (- 1 x) y)))
(/ (+ (* -1 (* (sqrt (/ 1 x)) (- 1 x))) (* -1 (/ (pow (- 1 x) 2) (* x y)))) y)
(/ (- (+ (* -1 (* (sqrt (/ 1 x)) (- 1 x))) (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 3) (pow y 2))))) (/ (pow (- 1 x) 2) (* x y))) y)
(/ (- (+ (* -1 (* (sqrt (/ 1 x)) (- 1 x))) (* -1 (/ (pow (- 1 x) 4) (* (pow x 2) (pow y 3))))) (+ (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 3) (pow y 2))) (/ (pow (- 1 x) 2) (* x y)))) y)
(* -1 (* (sqrt x) y))
(* y (- (+ (* -1 (sqrt x)) (/ x y)) (/ 1 y)))
(* y (- (+ (* -1 (sqrt x)) (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2))) (/ x y))) (/ 1 y)))
(* y (- (+ (* -1 (sqrt x)) (+ (/ x y) (/ (* (pow (- 1 x) 2) (- x 1)) (* x (pow y 3))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2)))) (/ 1 y))))
(* y (+ (sqrt x) (/ x y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (- (* -1 (/ (- 1 x) y)) (sqrt x))))
(* -1 (* y (- (* -1 (/ (- (+ 1 (* -1 (/ (+ (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) y))) x) y)) (sqrt x))))
(* -1 (* y (- (* -1 (/ (- (+ 1 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow (- 1 x) 2) (- x 1)) x)) (/ (pow (- 1 x) 3) x)) y)) (+ (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2)))) y))) x) y)) (sqrt x))))
(* -1 (* y (- (* -1 (/ (- (+ 1 (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) y)))) x) y)) (sqrt x))))
(* -1 (* y (- (* -1 (/ (- (+ 1 (* -1 (/ (+ (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1))) (/ (* (pow (- 1 x) 2) (- x 1)) (* x y))) y))) x) y)) (sqrt x))))
(* -1 (/ (+ (* (sqrt (/ 1 x)) (- 1 x)) (/ (pow (- 1 x) 2) (* x y))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 3) y))) (/ (pow (- 1 x) 2) x)) y)) (* (sqrt (/ 1 x)) (- 1 x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (- 1 x) 4) (* (pow x 2) y)) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 3)))) y)) (/ (pow (- 1 x) 2) x)) y)) (* (sqrt (/ 1 x)) (- 1 x))) y))
(* -1 (* y (+ (sqrt x) (* -1 (/ (- x 1) y)))))
(* -1 (* y (+ (sqrt x) (* -1 (/ (- (+ x (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) y))) 1) y)))))
(* -1 (* y (+ (sqrt x) (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow (- 1 x) 2) (- x 1)) (* x y))) (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1)))) y))) 1) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
76.0ms	y	@	0	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (+ (* (- 1 x) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x))))) (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x))) (* (* y x) y) (+ (* (sqrt x) y) x))
6.0ms	x	@	inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (+ (* (- 1 x) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x))))) (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x))) (* (* y x) y) (+ (* (sqrt x) y) x))
6.0ms	x	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (+ (* (- 1 x) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x))))) (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x))) (* (* y x) y) (+ (* (sqrt x) y) x))
5.0ms	y	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (+ (* (- 1 x) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x))))) (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x))) (* (* y x) y) (+ (* (sqrt x) y) x))
5.0ms	x	@	0	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (+ (* (- 1 x) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x))))) (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x))) (* (* y x) y) (+ (* (sqrt x) y) x))

simplify211.0ms (4.1%)

Memory

0.0MiB live, 228.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	618	4294
1	1993	3861
2	6634	3732
0	8548	3509

Stop Event

1×	iter limit
1×	node limit

Counts

126 → 125

Calls

Call 1

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

rewrite222.0ms (4.3%)

Memory

6.9MiB live, 248.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	158
0	46	133
1	193	129
2	1588	129
0	8357	129

Stop Event

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

Counts

16 → 873

Calls

Call 1

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

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

eval187.0ms (3.6%)

Memory: 3.2MiB live, 235.6MiB allocated
Compiler: Compiled 36 297 to 3 136 computations (91.4% saved)

prune22.0ms (0.4%)

Memory

-18.6MiB live, 72.3MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	949	9	958
Fresh	1	1	2
Picked	2	3	5
Done	0	0	0
Total	952	13	965

Accuracy

100.0%

Counts

965 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
	74.7%	(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (neg.f64 #s(approx (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x))) (.f64 (.f64 y y) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))))
✓	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
	66.6%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
▶	59.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
✓	67.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
▶	48.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) y)))))
✓	65.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
	59.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64)) x))
	32.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
▶	34.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
	63.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
▶	35.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))

Compiler

Compiled 441 to 295 computations (33.1% saved)

simplify157.0ms (3.1%)

Memory

11.9MiB live, 88.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) y)))))
cost-diff	256	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) y)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) y))))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(/.f64 y (sqrt.f64 x))
cost-diff	0	(fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 (sqrt.f64 x) y)
cost-diff	0	#s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))
cost-diff	0	#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
cost-diff	0	(pow.f64 x #s(literal 1/4 binary64))
cost-diff	12608	(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	206
0	51	206
1	93	203
2	168	198
3	326	198
4	812	198
5	1965	198
6	3989	198
7	4647	198
8	4680	198
9	4716	198
10	4723	198
11	4724	198
12	4980	198
13	5104	198
14	5106	198
15	5106	198
16	5106	198
0	5106	185

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 1/4 binary64))
x
#s(literal 1/4 binary64)
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
(fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x))
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
(neg.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) y))))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) y)))
(-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
(-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y))
(.f64 (.f64 y x) y)
(*.f64 y x)

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

localize123.0ms (2.4%)

Memory

10.4MiB live, 166.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.125	(.f64 (.f64 y x) y)
accuracy	0.15234375	(*.f64 y (sqrt.f64 x))
accuracy	14.598662884381339	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) y)))
accuracy	20.884467174428437	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) y)))))
accuracy	0	(neg.f64 x)
accuracy	0.2109375	(/.f64 y (sqrt.f64 x))
accuracy	4.607436221574116	(fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x))
accuracy	21.338750824317536	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
accuracy	0	(sqrt.f64 x)
accuracy	0.15234375	(*.f64 (sqrt.f64 x) y)
accuracy	20.884467174428437	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))
accuracy	31.443362000372964	#s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y))
accuracy	22.18218406788118	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy	31.486040881864565	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.00390625	(pow.f64 x #s(literal 1/4 binary64))
accuracy	0.08822250976844202	(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
accuracy	0.1875	(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)

Samples

65.0ms

256×

valid

Compiler

Compiled 365 to 59 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-div: 16.0ms (32% of total)

ival-mult: 10.0ms (20% of total)

ival-sqrt: 7.0ms (14% of total)

ival-add: 6.0ms (12% of total)

ival-pow: 6.0ms (12% of total)

ival-sub: 3.0ms (6% of total)

ival-neg: 1.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series147.0ms (2.8%)

Memory

32.1MiB live, 224.4MiB allocated

Counts

20 → 69

Calls

Call 1

Inputs
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 1/4 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
(-.f64 #s(literal 1 binary64) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
(fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x))
(/.f64 y (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) y))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) y)))))
(-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(neg.f64 x)
(*.f64 y (sqrt.f64 x))
(.f64 (.f64 y x) y)

Outputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(pow (* 1 x) 1/4)
(* (pow (* 1 x) 1/4) y)
1
(+ 1 (* -1 x))
(* (sqrt x) y)
(sqrt x)
(+ (* -1 x) (* (sqrt x) y))
(* (sqrt (/ 1 x)) y)
(/ 1 (- 1 (* (sqrt x) y)))
(+ (* -1 (/ (* x (pow y 2)) (- 1 (* (sqrt x) y)))) (/ 1 (- 1 (* (sqrt x) y))))
(- 1 (* (sqrt x) y))
(- (+ 1 (* x (* (pow y 2) (- 1 (* (sqrt x) y))))) (* (sqrt x) y))
(- (+ 1 (* x (- (* x (* (pow y 4) (- 1 (* (sqrt x) y)))) (* -1 (* (pow y 2) (- 1 (* (sqrt x) y))))))) (* (sqrt x) y))
(- (+ 1 (* x (- (* x (- (* x (* (pow y 6) (- 1 (* (sqrt x) y)))) (* -1 (* (pow y 4) (- 1 (* (sqrt x) y)))))) (* -1 (* (pow y 2) (- 1 (* (sqrt x) y))))))) (* (sqrt x) y))
(* -1 x)
(* x (pow y 2))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (/ 1 x) 1))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(+ 1 (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (* (sqrt x) y)))
(+ 1 (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* (sqrt x) y) (* (sqrt (/ 1 (pow x 3))) (/ (+ x (* -1 (* (sqrt x) (/ 1 y)))) y)))))
(- (+ 1 (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 3)))) (+ (* (sqrt x) y) (/ 1 (* x (pow y 2))))))) (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (+ x (* -1 (* (sqrt x) (/ 1 y)))) y))))
(* (sqrt (/ 1 x)) (/ 1 y))
(+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 (pow y 3)))) (/ 1 (pow y 2))) x)) (* (sqrt (/ 1 x)) (/ 1 y)))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 (pow y 5)))) (/ 1 (pow y 4))) (pow x 2))) (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 3)))) (/ 1 (* x (pow y 2)))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 (pow y 7)))) (/ 1 (pow y 6))) (pow x 3))) (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 3)))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow y 5)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 4)))))))
(* -1 (* (sqrt x) y))
(* x (- (/ 1 x) (* (sqrt (/ 1 x)) y)))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))))
(+ (* -1 (* (sqrt x) y)) (* -1 (/ (- (* -1 (* (sqrt x) (/ 1 y))) (* -1 (/ x (pow (sqrt -1) 2)))) x)))
(+ (* -1 (* (sqrt x) y)) (* -1 (/ (- (+ (* -1 (* (sqrt x) (/ 1 y))) (* -1 (* (sqrt (/ 1 x)) (/ (- (* -1 (* (sqrt x) (/ 1 y))) (* -1 (/ x (pow (sqrt -1) 2)))) y)))) (* -1 (/ x (pow (sqrt -1) 2)))) x)))
(+ (* -1 (* (sqrt x) y)) (* -1 (/ (- (+ (* -1 (* (sqrt x) (/ 1 y))) (* -1 (/ (- (* -1 (* (sqrt x) (/ 1 (* (pow y 3) (pow (sqrt -1) 2))))) (+ (* -1 (* (sqrt x) (/ (- (* -1 (* (sqrt x) (/ 1 y))) (* -1 (/ x (pow (sqrt -1) 2)))) y))) (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 4)))))) x))) (* -1 (/ x (pow (sqrt -1) 2)))) x)))
(* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) y)))
(+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) y))) (* -1 (/ (- (/ 1 (pow y 2)) (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 3))))) x)))
(+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) y))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 5)))) (/ 1 (pow y 4))) x)) (/ 1 (pow y 2))) (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 3))))) x)))
(+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) y))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 5)))) (* -1 (/ (- (/ 1 (pow y 6)) (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 7))))) x))) (/ 1 (pow y 4))) x)) (/ 1 (pow y 2))) (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 3))))) x)))
(* (sqrt x) (* y (pow (sqrt -1) 2)))
(* x (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (* (sqrt x) y) x)
(+ 1 (* -1 (* (sqrt x) y)))
(+ 1 (* y (+ (* -1 (sqrt x)) (* x y))))
(+ 1 (* y (+ (* -1 (sqrt x)) (* y (- (* -1 (* (sqrt (pow x 3)) y)) (* -1 x))))))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (* -1 (/ x y))))
(/ (- (sqrt (/ 1 x)) (/ 1 (* x y))) y)
(/ (- (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2)))) (/ 1 (* x y))) y)
(/ (- (+ (sqrt (/ 1 x)) (* -1 (/ (+ (* -1 (sqrt (/ 1 (pow x 3)))) (/ 1 (* (pow x 2) y))) (pow y 2)))) (/ 1 (* x y))) y)
(* y (- (/ 1 y) (sqrt x)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (/ 1 (* x y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (* (sqrt (/ 1 (pow x 3))) (/ 1 y)) (/ 1 x)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (sqrt (/ 1 (pow x 3)))) y)) (/ 1 x)) y))) y))
(* y (+ (* -1 (sqrt x)) (/ 1 y)))

Calls

6 calls:

Time	Variable		Point	Expression
52.0ms	x	@	0	((+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (pow x 1/4) (* (pow x 1/4) y) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (+ (* (/ y (sqrt x)) x) (neg x)) (/ y (sqrt x)) (/ 1 (/ (- 1 (* y (sqrt x))) (- 1 (* (* y x) y)))) (/ (- 1 (* y (sqrt x))) (- 1 (* (* y x) y))) (+ (- 1 x) (* y (sqrt x))) (- 1 (* y (sqrt x))) (neg x) (* y (sqrt x)) (* (* y x) y))
41.0ms	y	@	0	((+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (pow x 1/4) (* (pow x 1/4) y) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (+ (* (/ y (sqrt x)) x) (neg x)) (/ y (sqrt x)) (/ 1 (/ (- 1 (* y (sqrt x))) (- 1 (* (* y x) y)))) (/ (- 1 (* y (sqrt x))) (- 1 (* (* y x) y))) (+ (- 1 x) (* y (sqrt x))) (- 1 (* y (sqrt x))) (neg x) (* y (sqrt x)) (* (* y x) y))
19.0ms	x	@	-inf	((+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (pow x 1/4) (* (pow x 1/4) y) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (+ (* (/ y (sqrt x)) x) (neg x)) (/ y (sqrt x)) (/ 1 (/ (- 1 (* y (sqrt x))) (- 1 (* (* y x) y)))) (/ (- 1 (* y (sqrt x))) (- 1 (* (* y x) y))) (+ (- 1 x) (* y (sqrt x))) (- 1 (* y (sqrt x))) (neg x) (* y (sqrt x)) (* (* y x) y))
14.0ms	x	@	inf	((+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (pow x 1/4) (* (pow x 1/4) y) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (+ (* (/ y (sqrt x)) x) (neg x)) (/ y (sqrt x)) (/ 1 (/ (- 1 (* y (sqrt x))) (- 1 (* (* y x) y)))) (/ (- 1 (* y (sqrt x))) (- 1 (* (* y x) y))) (+ (- 1 x) (* y (sqrt x))) (- 1 (* y (sqrt x))) (neg x) (* y (sqrt x)) (* (* y x) y))
9.0ms	y	@	-inf	((+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (pow x 1/4) (* (pow x 1/4) y) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (+ (* (/ y (sqrt x)) x) (neg x)) (/ y (sqrt x)) (/ 1 (/ (- 1 (* y (sqrt x))) (- 1 (* (* y x) y)))) (/ (- 1 (* y (sqrt x))) (- 1 (* (* y x) y))) (+ (- 1 x) (* y (sqrt x))) (- 1 (* y (sqrt x))) (neg x) (* y (sqrt x)) (* (* y x) y))

simplify177.0ms (3.4%)

Memory

-37.2MiB live, 207.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	309	1196
1	955	1003
2	3362	965
0	8213	934

Stop Event

1×	iter limit
1×	node limit

Counts

69 → 69

Calls

Call 1

Inputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(pow (* 1 x) 1/4)
(* (pow (* 1 x) 1/4) y)
1
(+ 1 (* -1 x))
(* (sqrt x) y)
(sqrt x)
(+ (* -1 x) (* (sqrt x) y))
(* (sqrt (/ 1 x)) y)
(/ 1 (- 1 (* (sqrt x) y)))
(+ (* -1 (/ (* x (pow y 2)) (- 1 (* (sqrt x) y)))) (/ 1 (- 1 (* (sqrt x) y))))
(- 1 (* (sqrt x) y))
(- (+ 1 (* x (* (pow y 2) (- 1 (* (sqrt x) y))))) (* (sqrt x) y))
(- (+ 1 (* x (- (* x (* (pow y 4) (- 1 (* (sqrt x) y)))) (* -1 (* (pow y 2) (- 1 (* (sqrt x) y))))))) (* (sqrt x) y))
(- (+ 1 (* x (- (* x (- (* x (* (pow y 6) (- 1 (* (sqrt x) y)))) (* -1 (* (pow y 4) (- 1 (* (sqrt x) y)))))) (* -1 (* (pow y 2) (- 1 (* (sqrt x) y))))))) (* (sqrt x) y))
(* -1 x)
(* x (pow y 2))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (/ 1 x) 1))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(+ 1 (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (* (sqrt x) y)))
(+ 1 (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* (sqrt x) y) (* (sqrt (/ 1 (pow x 3))) (/ (+ x (* -1 (* (sqrt x) (/ 1 y)))) y)))))
(- (+ 1 (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 3)))) (+ (* (sqrt x) y) (/ 1 (* x (pow y 2))))))) (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (+ x (* -1 (* (sqrt x) (/ 1 y)))) y))))
(* (sqrt (/ 1 x)) (/ 1 y))
(+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 (pow y 3)))) (/ 1 (pow y 2))) x)) (* (sqrt (/ 1 x)) (/ 1 y)))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 (pow y 5)))) (/ 1 (pow y 4))) (pow x 2))) (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 3)))) (/ 1 (* x (pow y 2)))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 (pow y 7)))) (/ 1 (pow y 6))) (pow x 3))) (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 3)))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow y 5)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 4)))))))
(* -1 (* (sqrt x) y))
(* x (- (/ 1 x) (* (sqrt (/ 1 x)) y)))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))))
(+ (* -1 (* (sqrt x) y)) (* -1 (/ (- (* -1 (* (sqrt x) (/ 1 y))) (* -1 (/ x (pow (sqrt -1) 2)))) x)))
(+ (* -1 (* (sqrt x) y)) (* -1 (/ (- (+ (* -1 (* (sqrt x) (/ 1 y))) (* -1 (* (sqrt (/ 1 x)) (/ (- (* -1 (* (sqrt x) (/ 1 y))) (* -1 (/ x (pow (sqrt -1) 2)))) y)))) (* -1 (/ x (pow (sqrt -1) 2)))) x)))
(+ (* -1 (* (sqrt x) y)) (* -1 (/ (- (+ (* -1 (* (sqrt x) (/ 1 y))) (* -1 (/ (- (* -1 (* (sqrt x) (/ 1 (* (pow y 3) (pow (sqrt -1) 2))))) (+ (* -1 (* (sqrt x) (/ (- (* -1 (* (sqrt x) (/ 1 y))) (* -1 (/ x (pow (sqrt -1) 2)))) y))) (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 4)))))) x))) (* -1 (/ x (pow (sqrt -1) 2)))) x)))
(* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) y)))
(+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) y))) (* -1 (/ (- (/ 1 (pow y 2)) (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 3))))) x)))
(+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) y))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 5)))) (/ 1 (pow y 4))) x)) (/ 1 (pow y 2))) (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 3))))) x)))
(+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) y))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 5)))) (* -1 (/ (- (/ 1 (pow y 6)) (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 7))))) x))) (/ 1 (pow y 4))) x)) (/ 1 (pow y 2))) (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 3))))) x)))
(* (sqrt x) (* y (pow (sqrt -1) 2)))
(* x (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (* (sqrt x) y) x)
(+ 1 (* -1 (* (sqrt x) y)))
(+ 1 (* y (+ (* -1 (sqrt x)) (* x y))))
(+ 1 (* y (+ (* -1 (sqrt x)) (* y (- (* -1 (* (sqrt (pow x 3)) y)) (* -1 x))))))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (* -1 (/ x y))))
(/ (- (sqrt (/ 1 x)) (/ 1 (* x y))) y)
(/ (- (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2)))) (/ 1 (* x y))) y)
(/ (- (+ (sqrt (/ 1 x)) (* -1 (/ (+ (* -1 (sqrt (/ 1 (pow x 3)))) (/ 1 (* (pow x 2) y))) (pow y 2)))) (/ 1 (* x y))) y)
(* y (- (/ 1 y) (sqrt x)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (/ 1 (* x y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (* (sqrt (/ 1 (pow x 3))) (/ 1 y)) (/ 1 x)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (sqrt (/ 1 (pow x 3)))) y)) (/ 1 x)) y))) y))
(* y (+ (* -1 (sqrt x)) (/ 1 y)))

Outputs
(+ 1 (* (sqrt x) y))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(* (pow (* 1 x) 1/4) y)
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(sqrt x)
(sqrt.f64 x)
(+ (* -1 x) (* (sqrt x) y))
(fma.f64 (sqrt.f64 x) y (neg.f64 x))
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(/ 1 (- 1 (* (sqrt x) y)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
(+ (* -1 (/ (* x (pow y 2)) (- 1 (* (sqrt x) y)))) (/ 1 (- 1 (* (sqrt x) y))))
(fma.f64 (/.f64 (.f64 y y) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))
(- 1 (* (sqrt x) y))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(- (+ 1 (* x (* (pow y 2) (- 1 (* (sqrt x) y))))) (* (sqrt x) y))
(.f64 (fma.f64 (.f64 y x) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
(- (+ 1 (* x (- (* x (* (pow y 4) (- 1 (* (sqrt x) y)))) (* -1 (* (pow y 2) (- 1 (* (sqrt x) y))))))) (* (sqrt x) y))
(fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (fma.f64 y y (.f64 (pow.f64 y #s(literal 4 binary64)) x))) x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))
(- (+ 1 (* x (- (* x (- (* x (* (pow y 6) (- 1 (* (sqrt x) y)))) (* -1 (* (pow y 4) (- 1 (* (sqrt x) y)))))) (* -1 (* (pow y 2) (- 1 (* (sqrt x) y))))))) (* (sqrt x) y))
(fma.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) x (pow.f64 y #s(literal 4 binary64)))) x) x (.f64 (fma.f64 (.f64 y x) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))
(* -1 x)
(neg.f64 x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (* (sqrt x) y)))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
(+ 1 (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* (sqrt x) y) (* (sqrt (/ 1 (pow x 3))) (/ (+ x (* -1 (* (sqrt x) (/ 1 y)))) y)))))
(fma.f64 (/.f64 (-.f64 x (/.f64 (sqrt.f64 x) y)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))
(- (+ 1 (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 3)))) (+ (* (sqrt x) y) (/ 1 (* x (pow y 2))))))) (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (+ x (* -1 (* (sqrt x) (/ 1 y)))) y))))
(fma.f64 (/.f64 (-.f64 x (/.f64 (sqrt.f64 x) y)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (-.f64 (fma.f64 (sqrt.f64 x) y (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)))
(* (sqrt (/ 1 x)) (/ 1 y))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 (pow y 3)))) (/ 1 (pow y 2))) x)) (* (sqrt (/ 1 x)) (/ 1 y)))
(-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 3 binary64)))) x))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 (pow y 5)))) (/ 1 (pow y 4))) (pow x 2))) (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 3)))) (/ 1 (* x (pow y 2)))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) x)) x))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 (pow y 7)))) (/ 1 (pow y 6))) (pow x 3))) (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 3)))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow y 5)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 4)))))))
(-.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 7 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 5 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))))
(* -1 (* (sqrt x) y))
(*.f64 (neg.f64 y) (sqrt.f64 x))
(* x (- (/ 1 x) (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)))
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64))) y)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(+ (* -1 (* (sqrt x) y)) (* -1 (/ (- (* -1 (* (sqrt x) (/ 1 y))) (* -1 (/ x (pow (sqrt -1) 2)))) x)))
(fma.f64 (neg.f64 y) (sqrt.f64 x) (/.f64 (+.f64 (/.f64 (sqrt.f64 x) y) x) x))
(+ (* -1 (* (sqrt x) y)) (* -1 (/ (- (+ (* -1 (* (sqrt x) (/ 1 y))) (* -1 (* (sqrt (/ 1 x)) (/ (- (* -1 (* (sqrt x) (/ 1 y))) (* -1 (/ x (pow (sqrt -1) 2)))) y)))) (* -1 (/ x (pow (sqrt -1) 2)))) x)))
(neg.f64 (fma.f64 (sqrt.f64 x) y (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (sqrt.f64 x) y) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 (/.f64 (sqrt.f64 x) y) x))) x)))
(+ (* -1 (* (sqrt x) y)) (* -1 (/ (- (+ (* -1 (* (sqrt x) (/ 1 y))) (* -1 (/ (- (* -1 (* (sqrt x) (/ 1 (* (pow y 3) (pow (sqrt -1) 2))))) (+ (* -1 (* (sqrt x) (/ (- (* -1 (* (sqrt x) (/ 1 y))) (* -1 (/ x (pow (sqrt -1) 2)))) y))) (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 4)))))) x))) (* -1 (/ x (pow (sqrt -1) 2)))) x)))
(fma.f64 (neg.f64 y) (sqrt.f64 x) (/.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 (sqrt.f64 x) y) x) y)) (/.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 y y))) x) (+.f64 (/.f64 (sqrt.f64 x) y) x)) x))
(* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) y)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) y))) (* -1 (/ (- (/ 1 (pow y 2)) (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 3))))) x)))
(-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 3 binary64)))) x))
(+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) y))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 5)))) (/ 1 (pow y 4))) x)) (/ 1 (pow y 2))) (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 3))))) x)))
(-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 3 binary64)))) x))
(+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) y))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 5)))) (* -1 (/ (- (/ 1 (pow y 6)) (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 7))))) x))) (/ 1 (pow y 4))) x)) (/ 1 (pow y 2))) (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 3))))) x)))
(-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 5 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 7 binary64)))) x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) x)) x))
(* (sqrt x) (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 y) (sqrt.f64 x))
(* x (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))
(fma.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(- (* (sqrt x) y) x)
(fma.f64 (sqrt.f64 x) y (neg.f64 x))
(+ 1 (* -1 (* (sqrt x) y)))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(+ 1 (* y (+ (* -1 (sqrt x)) (* x y))))
(fma.f64 (fma.f64 y x (neg.f64 (sqrt.f64 x))) y #s(literal 1 binary64))
(+ 1 (* y (+ (* -1 (sqrt x)) (* y (- (* -1 (* (sqrt (pow x 3)) y)) (* -1 x))))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) x) y (neg.f64 (sqrt.f64 x))) y #s(literal 1 binary64))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y)
(* y (+ (sqrt x) (/ 1 y)))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(* y (+ (sqrt x) (* -1 (/ x y))))
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y)
(/ (- (sqrt (/ 1 x)) (/ 1 (* x y))) y)
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y)
(/ (- (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2)))) (/ 1 (* x y))) y)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y) (/.f64 #s(literal 1 binary64) x)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)
(/ (- (+ (sqrt (/ 1 x)) (* -1 (/ (+ (* -1 (sqrt (/ 1 (pow x 3)))) (/ 1 (* (pow x 2) y))) (pow y 2)))) (/ 1 (* x y))) y)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) y)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)
(* y (- (/ 1 y) (sqrt x)))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y)
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y)
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (/ 1 (* x y))) y))
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y)
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (* (sqrt (/ 1 (pow x 3))) (/ 1 y)) (/ 1 x)) y))) y))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y) (/.f64 #s(literal 1 binary64) x)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (sqrt (/ 1 (pow x 3)))) y)) (/ 1 x)) y))) y))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) y)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)
(* y (+ (* -1 (sqrt x)) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))

rewrite191.0ms (3.7%)

Memory

31.9MiB live, 259.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	180
0	51	180
1	201	172
2	1466	146
0	9059	136

Stop Event

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

Counts

20 → 944

Calls

Call 1

Inputs
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 1/4 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
(-.f64 #s(literal 1 binary64) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
(fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x))
(/.f64 y (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) y))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) y)))))
(-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(neg.f64 x)
(*.f64 y (sqrt.f64 x))
(.f64 (.f64 y x) y)

Outputs
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))))
(.f64 (-.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)))
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(.f64 (.f64 (*.f64 (sqrt.f64 x) y) y) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -2 binary64)) (.f64 x x))
(.f64 (.f64 y y) (pow.f64 (/.f64 x (sqrt.f64 x)) #s(literal 2 binary64)))
(.f64 (.f64 y y) x)
(.f64 (.f64 (*.f64 (sqrt.f64 x) y) x) (/.f64 y (sqrt.f64 x)))
(.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (neg.f64 (sqrt.f64 x)) y) (*.f64 (neg.f64 (sqrt.f64 x)) y))
(.f64 (.f64 x x) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -2 binary64)))
(.f64 (.f64 (*.f64 y x) y) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 (neg.f64 y) x) y))
(.f64 (.f64 y x) y)
(.f64 (.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y))
(.f64 (/.f64 y (sqrt.f64 x)) (.f64 x (*.f64 (sqrt.f64 x) y)))
(.f64 (sqrt.f64 x) (.f64 y (*.f64 (sqrt.f64 x) y)))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) y))
(.f64 (.f64 y (pow.f64 x #s(literal 1/4 binary64))) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (sqrt.f64 x) y)))
(.f64 y (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y)))
(.f64 y (.f64 y x))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 y (pow.f64 x #s(literal 1/4 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 y (pow.f64 x #s(literal 1/4 binary64))) (.f64 (sqrt.f64 x) y)))
(.f64 x (.f64 (/.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(.f64 x (.f64 y y))
(pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) y) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 y x) (*.f64 (sqrt.f64 x) y))) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 x) y) (*.f64 y x))) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (neg.f64 x))
(/.f64 (.f64 (.f64 y x) (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x))
(/.f64 (.f64 (.f64 (sqrt.f64 x) y) (*.f64 y x)) (sqrt.f64 x))
(/.f64 (.f64 (.f64 (sqrt.f64 x) y) x) (/.f64 (sqrt.f64 x) y))
(/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x)
(/.f64 (.f64 (sqrt.f64 x) y) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (.f64 (.f64 y x) (*.f64 (sqrt.f64 x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 x) y) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(neg.f64 (.f64 (.f64 (neg.f64 y) x) y))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 (neg.f64 y) x) y))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))

eval212.0ms (4.1%)

Memory: -1.6MiB live, 313.3MiB allocated
Compiler: Compiled 30 882 to 3 532 computations (88.6% saved)

prune76.0ms (1.5%)

Memory

0.8MiB live, 87.0MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	996	4	1 000
Fresh	3	2	5
Picked	3	2	5
Done	0	3	3
Total	1 002	11	1 013

Accuracy

100.0%

Counts

1 013 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
▶	66.6%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	67.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
	35.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (* y (sqrt x))) (- 1 (* (* y x) y))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))))
✓	65.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	32.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓	34.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
▶	31.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (/.f64 (*.f64 y x) (sqrt.f64 x))))
▶	30.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (/.f64 x (/.f64 (sqrt.f64 x) y))))
✓	35.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))
▶	35.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 y (/.f64 x (sqrt.f64 x)))))

Compiler

Compiled 313 to 208 computations (33.5% saved)

simplify44.0ms (0.8%)

Memory

-2.4MiB live, 35.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (sqrt.f64 x) y)
cost-diff	0	#s(approx (+ (* (sqrt x) y) 1) (/.f64 x (/.f64 (sqrt.f64 x) y)))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (/.f64 x (/.f64 (sqrt.f64 x) y))))
cost-diff	384	(/.f64 x (/.f64 (sqrt.f64 x) y))
cost-diff	0	(*.f64 y x)
cost-diff	0	(/.f64 (*.f64 y x) (sqrt.f64 x))
cost-diff	0	#s(approx (+ (* (sqrt x) y) 1) (/.f64 (*.f64 y x) (sqrt.f64 x)))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (/.f64 (*.f64 y x) (sqrt.f64 x))))
cost-diff	0	(/.f64 x (sqrt.f64 x))
cost-diff	0	(*.f64 y (/.f64 x (sqrt.f64 x)))
cost-diff	0	#s(approx (+ (* (sqrt x) y) 1) (*.f64 y (/.f64 x (sqrt.f64 x))))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 y (/.f64 x (sqrt.f64 x)))))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- 1 x) (neg.f64 x))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- 1 x) (neg.f64 x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	192
0	37	192
1	53	192
2	73	192
3	104	192
4	173	192
5	298	192
6	603	192
7	1422	192
8	1952	192
9	2325	192
10	2348	192
11	2364	192
0	2364	182

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(sqrt.f64 x)
x
y
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 y (/.f64 x (sqrt.f64 x)))))
#s(approx (+ (* (sqrt x) y) 1) (*.f64 y (/.f64 x (sqrt.f64 x))))
(*.f64 y (/.f64 x (sqrt.f64 x)))
y
(/.f64 x (sqrt.f64 x))
x
(sqrt.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (/.f64 (*.f64 y x) (sqrt.f64 x))))
#s(approx (+ (* (sqrt x) y) 1) (/.f64 (*.f64 y x) (sqrt.f64 x)))
(/.f64 (*.f64 y x) (sqrt.f64 x))
(*.f64 y x)
y
x
(sqrt.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (/.f64 x (/.f64 (sqrt.f64 x) y))))
#s(approx (+ (* (sqrt x) y) 1) (/.f64 x (/.f64 (sqrt.f64 x) y)))
(/.f64 x (/.f64 (sqrt.f64 x) y))
x
(/.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
y

Outputs
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 y (sqrt.f64 x) #s(approx (- 1 x) (neg.f64 x)))
(sqrt.f64 x)
x
y
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 y (/.f64 x (sqrt.f64 x)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (/.f64 x (sqrt.f64 x)) y)))
#s(approx (+ (* (sqrt x) y) 1) (*.f64 y (/.f64 x (sqrt.f64 x))))
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (/.f64 x (sqrt.f64 x)) y))
(*.f64 y (/.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 x (sqrt.f64 x)) y)
y
(/.f64 x (sqrt.f64 x))
x
(sqrt.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (/.f64 (*.f64 y x) (sqrt.f64 x))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (/.f64 x (sqrt.f64 x)) y)))
#s(approx (+ (* (sqrt x) y) 1) (/.f64 (*.f64 y x) (sqrt.f64 x)))
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (/.f64 x (sqrt.f64 x)) y))
(/.f64 (*.f64 y x) (sqrt.f64 x))
(*.f64 (/.f64 x (sqrt.f64 x)) y)
(*.f64 y x)
y
x
(sqrt.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (/.f64 x (/.f64 (sqrt.f64 x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (/.f64 x (sqrt.f64 x)) y)))
#s(approx (+ (* (sqrt x) y) 1) (/.f64 x (/.f64 (sqrt.f64 x) y)))
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (/.f64 x (sqrt.f64 x)) y))
(/.f64 x (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 x (sqrt.f64 x)) y)
x
(/.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
y

localize60.0ms (1.2%)

Memory

-18.9MiB live, 99.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.20703125	(/.f64 (sqrt.f64 x) y)
accuracy	7.722389083087264	(/.f64 x (/.f64 (sqrt.f64 x) y))
accuracy	20.884467174428437	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (/.f64 x (/.f64 (sqrt.f64 x) y))))
accuracy	31.443362000372964	#s(approx (+ (* (sqrt x) y) 1) (/.f64 x (/.f64 (sqrt.f64 x) y)))
accuracy	0	(sqrt.f64 x)
accuracy	7.174099061879097	(/.f64 (*.f64 y x) (sqrt.f64 x))
accuracy	20.884467174428437	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (/.f64 (*.f64 y x) (sqrt.f64 x))))
accuracy	31.443362000372964	#s(approx (+ (* (sqrt x) y) 1) (/.f64 (*.f64 y x) (sqrt.f64 x)))
accuracy	0.15234375	(*.f64 y (/.f64 x (sqrt.f64 x)))
accuracy	0.4609375	(/.f64 x (sqrt.f64 x))
accuracy	20.884467174428437	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 y (/.f64 x (sqrt.f64 x)))))
accuracy	31.443362000372964	#s(approx (+ (* (sqrt x) y) 1) (*.f64 y (/.f64 x (sqrt.f64 x))))
accuracy	0	(neg.f64 x)
accuracy	22.18218406788118	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
accuracy	33.12175676020995	#s(approx (- 1 x) (neg.f64 x))
accuracy	0	(sqrt.f64 x)
accuracy	0	(neg.f64 x)
accuracy	0.046875	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
accuracy	33.12175676020995	#s(approx (- 1 x) (neg.f64 x))

Samples

37.0ms

256×

valid

Compiler

Compiled 308 to 45 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 8.0ms (36.1% of total)

ival-mult: 6.0ms (27% of total)

ival-add: 3.0ms (13.5% of total)

ival-sqrt: 2.0ms (9% of total)

ival-sub: 1.0ms (4.5% of total)

ival-neg: 1.0ms (4.5% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory

21.2MiB live, 21.2MiB allocated

Counts

17 → 26

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(sqrt.f64 x)
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 y (/.f64 x (sqrt.f64 x)))))
#s(approx (+ (* (sqrt x) y) 1) (*.f64 y (/.f64 x (sqrt.f64 x))))
(*.f64 y (/.f64 x (sqrt.f64 x)))
(/.f64 x (sqrt.f64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (/.f64 (*.f64 y x) (sqrt.f64 x))))
#s(approx (+ (* (sqrt x) y) 1) (/.f64 (*.f64 y x) (sqrt.f64 x)))
(/.f64 (*.f64 y x) (sqrt.f64 x))
(*.f64 y x)
(/.f64 x (/.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (/.f64 x (/.f64 (sqrt.f64 x) y))))
#s(approx (+ (* (sqrt x) y) 1) (/.f64 x (/.f64 (sqrt.f64 x) y)))
(/.f64 (sqrt.f64 x) y)

Outputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(sqrt x)
1
(+ 1 (* -1 x))
(* -1 x)
(* (sqrt x) y)
(* x y)
(* (sqrt x) (/ 1 y))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (/ 1 x) 1))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (+ (sqrt x) (/ 1 y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* y (/ x (sqrt x))) (/ x (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (/ (* y x) (sqrt x)) (* y x) (/ x (/ (sqrt x) y)) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (/ (sqrt x) y))
1.0ms	y	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* y (/ x (sqrt x))) (/ x (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (/ (* y x) (sqrt x)) (* y x) (/ x (/ (sqrt x) y)) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (/ (sqrt x) y))
1.0ms	x	@	0	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* y (/ x (sqrt x))) (/ x (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (/ (* y x) (sqrt x)) (* y x) (/ x (/ (sqrt x) y)) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (/ (sqrt x) y))
1.0ms	x	@	inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* y (/ x (sqrt x))) (/ x (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (/ (* y x) (sqrt x)) (* y x) (/ x (/ (sqrt x) y)) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (/ (sqrt x) y))
1.0ms	y	@	inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* y (/ x (sqrt x))) (/ x (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (/ (* y x) (sqrt x)) (* y x) (/ x (/ (sqrt x) y)) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (/ (sqrt x) y))

simplify120.0ms (2.3%)

Memory

-11.8MiB live, 141.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	164
1	186	152
2	548	152
3	1639	152
4	4328	152
5	6810	152
0	8178	137

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 26

Calls

Call 1

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

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

rewrite197.0ms (3.8%)

Memory

-6.0MiB live, 203.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	169
0	37	167
1	128	167
2	765	149
0	8521	139

Stop Event

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

Counts

17 → 455

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(sqrt.f64 x)
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 y (/.f64 x (sqrt.f64 x)))))
#s(approx (+ (* (sqrt x) y) 1) (*.f64 y (/.f64 x (sqrt.f64 x))))
(*.f64 y (/.f64 x (sqrt.f64 x)))
(/.f64 x (sqrt.f64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (/.f64 (*.f64 y x) (sqrt.f64 x))))
#s(approx (+ (* (sqrt x) y) 1) (/.f64 (*.f64 y x) (sqrt.f64 x)))
(/.f64 (*.f64 y x) (sqrt.f64 x))
(*.f64 y x)
(/.f64 x (/.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (/.f64 x (/.f64 (sqrt.f64 x) y))))
#s(approx (+ (* (sqrt x) y) 1) (/.f64 x (/.f64 (sqrt.f64 x) y)))
(/.f64 (sqrt.f64 x) y)

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

eval68.0ms (1.3%)

Memory: -4.2MiB live, 78.2MiB allocated
Compiler: Compiled 11 218 to 1 405 computations (87.5% saved)

prune14.0ms (0.3%)

Memory

32.0MiB live, 32.0MiB allocated

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	444	1	445
Fresh	1	0	1
Picked	0	5	5
Done	0	5	5
Total	445	11	456

Accuracy

100.0%

Counts

456 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
✓	66.6%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	67.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	65.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓	32.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓	34.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
✓	31.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (/.f64 (*.f64 y x) (sqrt.f64 x))))
	35.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))))
✓	30.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (/.f64 x (/.f64 (sqrt.f64 x) y))))
✓	35.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))
✓	35.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 y (/.f64 x (sqrt.f64 x)))))

Compiler

Compiled 616 to 229 computations (62.8% saved)

regimes39.0ms (0.8%)

Memory

-7.5MiB live, 31.3MiB allocated

Counts

22 → 1

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
7.0ms	y
7.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes17.0ms (0.3%)

Memory

-23.1MiB live, 15.4MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))

Calls

3 calls:

11.0ms	x
3.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
3.0ms	y

Results

Accuracy	Segments	Branch
98.9%	2	`x`
96.1%	3	`y`
98.3%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes8.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))

Outputs

#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))

#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))

#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))

Calls

3 calls:

2.0ms	x
2.0ms	y
2.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
95.9%	3	`y`
83.4%	3	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
83.7%	2	`x`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))

#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))

#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
94.0%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))

#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
65.3%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
65.3%	1	`x`
65.3%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes5.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
38.6%	2	`y`
65.4%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
64.9%	2	`x`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Calls

3 calls:

1.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
34.1%	1	`y`
34.1%	1	`x`
34.1%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch17.0ms (0.3%)

Memory

-31.6MiB live, 7.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	8.104315150100896e-7	3.399101974490785e-6

Samples

12.0ms

96×

valid

Compiler

Compiled 155 to 138 computations (11% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 1.0ms (41.3% of total)

ival-sqrt: 1.0ms (41.3% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch24.0ms (0.5%)

Memory

17.8MiB live, 17.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	9076341898447326000.0	2.7026636331108465e+23
11.0ms	-3.9951410557130967e+70	-1.8568706280209016e+67

Samples

11.0ms

256×

valid

Compiler

Compiled 427 to 380 computations (11% saved)

Precisions

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

ival-mult: 2.0ms (32.1% of total)

ival-sqrt: 2.0ms (32.1% of total)

ival-sub: 1.0ms (16.1% of total)

ival-add: 1.0ms (16.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch46.0ms (0.9%)

Memory

-19.9MiB live, 23.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
33.0ms	1.246823214861745e+100	7.762675565753922e+101
11.0ms	-3.0286902639365713e+90	-5.358160180985924e+85

Samples

11.0ms

240×

valid

Compiler

Compiled 491 to 387 computations (21.2% saved)

Precisions

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

ival-mult: 2.0ms (33.3% of total)

ival-sqrt: 2.0ms (33.3% of total)

ival-sub: 1.0ms (16.7% of total)

ival-add: 1.0ms (16.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.6052802274198523	0.9999994457902134

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify23.0ms (0.4%)

Memory

30.3MiB live, 30.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	209
1	53	209
2	56	209
3	57	209

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 61796592646927/18446744073709551616 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))))
(if (<=.f64 y #s(literal -19999999999999999654735515678371196634479565751161864557154294300672 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 129999999999999995805696 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -880000000000000006691047076269543113712096576720681646768983853644754447115388725476982784 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (.f64 (sqrt.f64 x) y))) (if (<=.f64 y #s(literal 20999999999999998585558710301802115156041981843118074940374632724344892294926631462694430285611663360 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) #s(literal -2 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Outputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 61796592646927/18446744073709551616 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))))
(if (<=.f64 y #s(literal -19999999999999999654735515678371196634479565751161864557154294300672 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 129999999999999995805696 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -880000000000000006691047076269543113712096576720681646768983853644754447115388725476982784 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (.f64 (sqrt.f64 x) y))) (if (<=.f64 y #s(literal 20999999999999998585558710301802115156041981843118074940374632724344892294926631462694430285611663360 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))))
(if (<=.f64 y #s(literal -880000000000000006691047076269543113712096576720681646768983853644754447115388725476982784 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (.f64 y (sqrt.f64 x)))) (if (<=.f64 y #s(literal 20999999999999998585558710301802115156041981843118074940374632724344892294926631462694430285611663360 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 y (sqrt.f64 x))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) #s(literal -2 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

soundness656.0ms (12.7%)

Memory

-20.4MiB live, 255.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	11	17
1	46	17
2	357	17
3	5315	17
0	8974	16
0	618	4294
1	1993	3861
2	6634	3732
0	8548	3509
0	52	113
1	141	113
2	438	109
3	1296	109
4	4654	109
5	7388	109
0	8105	98

Stop Event

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

Compiler

Compiled 298 to 126 computations (57.7% saved)

preprocess115.0ms (2.2%)

Memory: -7.7MiB live, 77.7MiB allocated
Compiler: Compiled 434 to 102 computations (76.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	20
0	11	20
1	19	20
2	38	20
3	65	20
4	129	20
5	247	20
6	389	20
7	437	20
8	460	20
0	460	19

Iter	Nodes	Cost
0	7	20
0	11	20
1	19	20
2	38	20
3	65	20
4	129	20
5	247	20
6	389	20
7	437	20
8	460	20
0	460	19

start0.0ms (0%)

analyze9.0ms (0.2%)

sample860.0ms (16.7%)

explain195.0ms (3.8%)

preprocess73.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify12.0ms (0.2%)

localize24.0ms (0.5%)

series23.0ms (0.5%)

simplify105.0ms (2%)

rewrite162.0ms (3.2%)

eval57.0ms (1.1%)

prune7.0ms (0.1%)

simplify240.0ms (4.7%)

localize77.0ms (1.5%)

series106.0ms (2.1%)

simplify211.0ms (4.1%)

rewrite222.0ms (4.3%)

eval187.0ms (3.6%)

prune22.0ms (0.4%)

simplify157.0ms (3.1%)

localize123.0ms (2.4%)

series147.0ms (2.8%)

simplify177.0ms (3.4%)

rewrite191.0ms (3.7%)

eval212.0ms (4.1%)

prune76.0ms (1.5%)

simplify44.0ms (0.8%)

localize60.0ms (1.2%)

series10.0ms (0.2%)

simplify120.0ms (2.3%)

rewrite197.0ms (3.8%)

eval68.0ms (1.3%)

prune14.0ms (0.3%)

regimes39.0ms (0.8%)

regimes17.0ms (0.3%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch17.0ms (0.3%)

bsearch24.0ms (0.5%)

bsearch46.0ms (0.9%)

bsearch0.0ms (0%)

simplify23.0ms (0.4%)

soundness656.0ms (12.7%)

preprocess115.0ms (2.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	20
0	11	20
1	19	20
2	38	20
3	65	20
4	129	20
5	247	20
6	389	20
7	437	20
8	460	20
0	460	19