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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze16.0ms (0.5%)

Memory

25.6MiB live, 25.6MiB allocated; 0ms collecting garbage

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)

sample857.0ms (26.3%)

Memory

25.5MiB live, 1 192.7MiB allocated; 309ms collecting garbage

Samples

486.0ms	8 252×	0	valid
15.0ms	258×	0	invalid
0.0ms	3×	1	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 300.0ms

ival-mult: 96.0ms (32% of total)

ival-sub: 81.0ms (27% of total)

ival-sqrt: 64.0ms (21.3% of total)

ival-add: 43.0ms (14.3% of total)

ival-true: 5.0ms (1.7% of total)

exact: 5.0ms (1.7% of total)

adjust: 3.0ms (1% of total)

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

Bogosity

explain101.0ms (3.1%)

Memory

-29.5MiB live, 117.7MiB allocated; 23ms collecting garbage

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

26.0ms

512×

valid

Compiler

Compiled 52 to 25 computations (51.9% saved)

Precisions

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

ival-sqrt: 4.0ms (30.9% of total)

ival-sub: 3.0ms (23.1% of total)

ival-mult: 3.0ms (23.1% of total)

ival-add: 2.0ms (15.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess209.0ms (6.4%)

Memory

47.9MiB live, 182.9MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	46
1	49	46
2	96	46
3	172	43
4	356	42
5	1037	42
6	2806	42
7	6607	42
0	7	8
0	11	8
1	20	8
2	35	8
3	64	8
4	133	8
5	459	8
6	3607	8
7	7197	8
0	8053	7

Stop Event

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

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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

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)

simplify159.0ms (4.9%)

Memory

-11.1MiB live, 85.9MiB allocated; 13ms collecting garbage

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	1	(+.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	20	20
2	35	20
3	64	20
4	133	20
5	459	20
6	3607	20
7	7197	20
0	8053	19

Stop Event

1×	iter limit
1×	node limit
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)

localize26.0ms (0.8%)

Memory

-28.5MiB live, 16.7MiB allocated; 4ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.0	(sqrt.f64 x)
accuracy	0.01171875	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
accuracy	0.21484375	(*.f64 y (sqrt.f64 x))

Samples

13.0ms

256×

valid

Compiler

Compiled 22 to 9 computations (59.1% saved)

Precisions

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

ival-mult: 2.0ms (31.9% of total)

ival-sqrt: 2.0ms (31.9% of total)

ival-sub: 1.0ms (15.9% of total)

ival-add: 1.0ms (15.9% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series5.0ms (0.2%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

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
2.0ms	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	@	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))

simplify82.0ms (2.5%)

Memory

29.3MiB live, 72.8MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	136
1	140	128
2	467	127
0	1726	120

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

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

rewrite64.0ms (2%)

Memory

-7.7MiB live, 46.1MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	11	17
1	48	17
0	366	16

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

4 → 33

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

eval5.0ms (0.1%)

Memory: 6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 797 to 159 computations (80.1% saved)

prune5.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	40	7	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	7	48

Accuracy

99.9%

Counts

48 → 7

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))
	52.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) (-.f64 x (.f64 (sqrt.f64 x) y)) (.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y))))))
▶	99.9%	(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
	99.7%	(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))))
▶	72.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
▶	60.2%	#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 210 to 138 computations (34.3% saved)

simplify114.0ms (3.5%)

Memory

2.5MiB live, 136.5MiB allocated; 20ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
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	(-.f64 (fma.f64 (sqrt.f64 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	20	118
0	31	115
1	45	115
2	75	115
3	147	115
4	315	115
5	1162	115
0	8540	115

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

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

localize76.0ms (2.3%)

Memory

-20.6MiB live, 90.0MiB allocated; 28ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
accuracy	0.15625	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	5.354446683489458	(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
accuracy	20.589791264496853	#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	0.0	(sqrt.f64 x)
accuracy	0.0078125	(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
accuracy	0.12109375	(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.12109375	(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
accuracy	17.750404644388873	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	25.466252952640193	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.0	(sqrt.f64 x)
accuracy	0.08984375	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

Samples

64.0ms

256×

valid

Compiler

Compiled 106 to 19 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-sqrt: 9.0ms (38.4% of total)

ival-mult: 6.0ms (25.6% of total)

ival-add: 4.0ms (17.1% of total)

ival-div: 2.0ms (8.5% of total)

ival-sub: 2.0ms (8.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms collecting garbage

Counts

11 → 36

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

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))
(* 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 (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 x) y)) x)
-1
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (- (sqrt (/ 1 x)) (/ 1 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))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	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) (- (+ (* (sqrt x) y) 1) x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)))
2.0ms	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) (- (+ (* (sqrt x) y) 1) x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)))
1.0ms	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) (- (+ (* (sqrt x) y) 1) x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)))
1.0ms	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) (- (+ (* (sqrt x) y) 1) x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)))
1.0ms	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) (- (+ (* (sqrt x) y) 1) x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)))

simplify71.0ms (2.2%)

Memory

3.0MiB live, 48.2MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	276
1	223	246
2	739	241
0	3066	223

Stop Event

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

Counts

36 → 36

Calls

Call 1

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

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

rewrite72.0ms (2.2%)

Memory

-14.3MiB live, 32.2MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	88
0	31	85
1	125	81
0	902	81

Stop Event

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

Counts

11 → 145

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

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

eval43.0ms (1.3%)

Memory: -10.5MiB live, 41.1MiB allocated; 9ms collecting garbage
Compiler: Compiled 3 550 to 496 computations (86% saved)

prune9.0ms (0.3%)

Memory

24.7MiB live, 24.8MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	171	10	181
Fresh	2	0	2
Picked	3	2	5
Done	0	0	0
Total	176	12	188

Accuracy

100.0%

Counts

188 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.7%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
	67.7%	(-.f64 #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)) x)
▶	72.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) y #s(literal 1 binary64)))
✓	72.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	60.2%	#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 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x))
	56.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (fma.f64 (/.f64 y x) (sqrt.f64 x) #s(literal -1 binary64))) x))
	33.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
	28.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
▶	33.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
▶	68.1%	#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))))
▶	41.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))

Compiler

Compiled 400 to 285 computations (28.8% saved)

simplify184.0ms (5.7%)

Memory

-10.1MiB live, 124.0MiB allocated; 11ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
cost-diff	0	#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))))
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)))
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	(pow.f64 x #s(literal 1/4 binary64))
cost-diff	0	(fma.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) y #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) y #s(literal 1 binary64)))
cost-diff	5	(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	187
0	43	177
1	73	164
2	137	164
3	347	164
4	672	164
5	1442	164
6	7396	164
0	8530	164

Stop Event

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

Calls

Call 1

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

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

localize107.0ms (3.3%)

Memory

-23.6MiB live, 79.2MiB allocated; 12ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
accuracy	0.15625	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	4.324240994012144	(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
accuracy	17.750404644388873	#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))))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.0	(neg.f64 x)
accuracy	0.08984375	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
accuracy	33.499347655176855	#s(approx (- 1 x) (neg.f64 x))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.21484375	(*.f64 (sqrt.f64 x) y)
accuracy	17.750404644388873	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))
accuracy	30.507096169938897	#s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y))
accuracy	25.466252952640193	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy	30.637080205452058	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	0.0	(pow.f64 x #s(literal 1/4 binary64))
accuracy	0.12109375	(fma.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) y #s(literal 1 binary64))
accuracy	0.445976269536884	(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
accuracy	17.750404644388873	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) y #s(literal 1 binary64)))

Samples

66.0ms

256×

valid

Compiler

Compiled 123 to 23 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 22.0ms (42.2% of total)

ival-pow: 17.0ms (32.6% of total)

ival-add: 5.0ms (9.6% of total)

ival-sqrt: 3.0ms (5.8% of total)

ival-div: 2.0ms (3.8% of total)

ival-sub: 2.0ms (3.8% of total)

ival-neg: 1.0ms (1.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series63.0ms (1.9%)

Memory

43.3MiB live, 127.7MiB allocated; 20ms collecting garbage

Counts

18 → 30

Calls

Call 1

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

Outputs
(sqrt x)
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(pow (* 1 x) 1/4)
1
(+ 1 (* -1 x))
(* (sqrt x) y)
(* -1 x)
(* x y)
(sqrt (/ 1 x))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x (- (/ 1 x) 1))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -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) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(* -1 (* x (- 1 (/ 1 x))))
(* (sqrt x) (* y (pow (sqrt -1) 2)))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(- 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
30.0ms	x	@	0	((* (pow x 1/4) (pow x 1/4)) (+ (- 1 x) (* y (sqrt x))) (+ (* (* (pow x 1/4) (pow x 1/4)) y) 1) (pow x 1/4) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* (sqrt x) y) (sqrt x) (+ (* (sqrt x) y) (- 1 x)) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (sqrt (/ 1 x)))
22.0ms	x	@	-inf	((* (pow x 1/4) (pow x 1/4)) (+ (- 1 x) (* y (sqrt x))) (+ (* (* (pow x 1/4) (pow x 1/4)) y) 1) (pow x 1/4) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* (sqrt x) y) (sqrt x) (+ (* (sqrt x) y) (- 1 x)) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (sqrt (/ 1 x)))
8.0ms	x	@	inf	((* (pow x 1/4) (pow x 1/4)) (+ (- 1 x) (* y (sqrt x))) (+ (* (* (pow x 1/4) (pow x 1/4)) y) 1) (pow x 1/4) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* (sqrt x) y) (sqrt x) (+ (* (sqrt x) y) (- 1 x)) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (sqrt (/ 1 x)))
1.0ms	y	@	-inf	((* (pow x 1/4) (pow x 1/4)) (+ (- 1 x) (* y (sqrt x))) (+ (* (* (pow x 1/4) (pow x 1/4)) y) 1) (pow x 1/4) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* (sqrt x) y) (sqrt x) (+ (* (sqrt x) y) (- 1 x)) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (sqrt (/ 1 x)))
1.0ms	y	@	inf	((* (pow x 1/4) (pow x 1/4)) (+ (- 1 x) (* y (sqrt x))) (+ (* (* (pow x 1/4) (pow x 1/4)) y) 1) (pow x 1/4) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* (sqrt x) y) (sqrt x) (+ (* (sqrt x) y) (- 1 x)) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (sqrt (/ 1 x)))

simplify103.0ms (3.2%)

Memory

-7.5MiB live, 93.1MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	228
1	214	205
2	717	197
0	3528	185

Stop Event

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

Counts

30 → 30

Calls

Call 1

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

rewrite52.0ms (1.6%)

Memory

8.9MiB live, 53.6MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	170
0	43	151
1	165	143
0	949	140

Stop Event

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

Counts

18 → 166

Calls

Call 1

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

Outputs
(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(neg.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))))
(sqrt.f64 x)
(fabs.f64 (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 (.f64 x x)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (*.f64 (sqrt.f64 x) y))))
(/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y)))
(fma.f64 (*.f64 y (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 y (pow.f64 x #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) y) #s(literal 1 binary64))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
(-.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) y))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (.f64 y (pow.f64 x #s(literal 1/4 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(+.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 x) y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y))))
(+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/8 binary64))) (neg.f64 (pow.f64 x #s(literal 1/8 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1/8 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/8 binary64))))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/8 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(sqrt.f64 (sqrt.f64 x))
(fabs.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(fabs.f64 (pow.f64 x #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 1/4 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(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 (.f64 y (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(.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 1/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 y (pow.f64 x #s(literal 1/4 binary64)))))
(.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) y))
(.f64 (.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(.f64 (sqrt.f64 x) (.f64 y #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) y)
(.f64 y (.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 y (sqrt.f64 x))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 y (pow.f64 x #s(literal 1/4 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(neg.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))))
(sqrt.f64 x)
(fabs.f64 (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 (.f64 x x)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64))) (-.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (sqrt.f64 x) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (sqrt.f64 x) y)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) (-.f64 (.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)) (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (sqrt.f64 x) y)))))
(/.f64 (+.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (sqrt.f64 x) y)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))))
(fma.f64 (*.f64 y (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 y (pow.f64 x #s(literal 1/4 binary64)))) #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) y) #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64) #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal 1 binary64)) #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 y (sqrt.f64 x) #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(approx (- 1 x) (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (-.f64 (.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x)))) (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x)))))
(-.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) y))
(-.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (.f64 y (pow.f64 x #s(literal 1/4 binary64)))))
(-.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(+.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (sqrt.f64 x) y)) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)))) (/.f64 (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 (sqrt.f64 x) y)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64)))))
(+.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (sqrt.f64 x) y))
(+.f64 (*.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))))
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (sqrt.f64 x)) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (sqrt.f64 x)) y)) (pow.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64)) (*.f64 (/.f64 x (sqrt.f64 x)) y))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (sqrt.f64 x)) y)) (pow.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64))))
(fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) x #s(literal 1 binary64))
(fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y x) #s(literal 1 binary64))
(fma.f64 (.f64 y x) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 y x) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 1 binary64))
(fma.f64 x (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal -1 binary64))))
(-.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (.f64 y x)))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 y x)) (pow.f64 x #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (/.f64 x (sqrt.f64 x))))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (sqrt.f64 x)) y)) (pow.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (sqrt.f64 x)) y)) (pow.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sqrt.f64 x)) y))
(*.f64 y x)
(*.f64 x y)
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -2 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))

eval42.0ms (1.3%)

Memory: -3.0MiB live, 42.6MiB allocated; 2ms collecting garbage
Compiler: Compiled 4 308 to 626 computations (85.5% saved)

prune31.0ms (0.9%)

Memory

-39.7MiB live, 19.8MiB allocated; 19ms collecting garbage

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	181	2	183
Fresh	1	4	5
Picked	1	4	5
Done	0	2	2
Total	183	12	195

Accuracy

100.0%

Counts

195 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.7%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
▶	67.7%	(-.f64 #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)) x)
✓	72.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	60.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
	56.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (fma.f64 (/.f64 y x) (sqrt.f64 x) #s(literal -1 binary64))) x))
▶	33.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
▶	28.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓	33.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
▶	72.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))))
▶	68.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
✓	68.1%	#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))))
✓	41.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))

Compiler

Compiled 353 to 246 computations (30.3% saved)

simplify132.0ms (4%)

Memory

24.9MiB live, 112.5MiB allocated; 11ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
cost-diff	2	(fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
cost-diff	0	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
cost-diff	0	#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x)
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) 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	(-.f64 #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)) 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	(/.f64 x (sqrt.f64 x))
cost-diff	0	(fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64)))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	245
0	52	239
1	78	239
2	128	239
3	273	239
4	1072	239
5	4713	239
0	8057	226

Stop Event

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

Calls

Call 1

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

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

localize86.0ms (2.7%)

Memory

-13.3MiB live, 87.0MiB allocated; 13ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
accuracy	0.2578125	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
accuracy	4.324240994012144	(fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
accuracy	17.750404644388873	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
accuracy	0.26171875	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
accuracy	5.354446683489458	(.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x)
accuracy	20.589791264496853	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
accuracy	30.1122742669205	#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.0078125	(-.f64 #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)) x)
accuracy	0.21484375	(*.f64 (sqrt.f64 x) y)
accuracy	30.507096169938897	#s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y))
accuracy	0.0	(neg.f64 x)
accuracy	25.466252952640193	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
accuracy	33.499347655176855	#s(approx (- 1 x) (neg.f64 x))
accuracy	0.0	#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64)))
accuracy	0.12109375	(fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))
accuracy	0.49609375	(/.f64 x (sqrt.f64 x))
accuracy	17.750404644388873	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))))

Samples

42.0ms

256×

valid

Compiler

Compiled 147 to 26 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 10.0ms (36.1% of total)

ival-div: 5.0ms (18.1% of total)

ival-add: 5.0ms (18.1% of total)

ival-sub: 3.0ms (10.8% of total)

ival-sqrt: 3.0ms (10.8% of total)

ival-neg: 1.0ms (3.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.3%)

Memory

18.8MiB live, 18.8MiB allocated; 0ms collecting garbage

Counts

20 → 38

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (/ x (sqrt x)) y) 1) (/ x (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (- (+ (* (sqrt x) y) 1) x) (+ (* (sqrt x) y) 1) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y) (+ (* (* y x) (/ 1 (sqrt x))) 1) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* y x) (/ 1 (sqrt x)))
2.0ms	y	@	-inf	((+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (/ x (sqrt x)) y) 1) (/ x (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (- (+ (* (sqrt x) y) 1) x) (+ (* (sqrt x) y) 1) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y) (+ (* (* y x) (/ 1 (sqrt x))) 1) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* y x) (/ 1 (sqrt x)))
1.0ms	y	@	inf	((+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (/ x (sqrt x)) y) 1) (/ x (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (- (+ (* (sqrt x) y) 1) x) (+ (* (sqrt x) y) 1) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y) (+ (* (* y x) (/ 1 (sqrt x))) 1) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* y x) (/ 1 (sqrt x)))
1.0ms	x	@	inf	((+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (/ x (sqrt x)) y) 1) (/ x (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (- (+ (* (sqrt x) y) 1) x) (+ (* (sqrt x) y) 1) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y) (+ (* (* y x) (/ 1 (sqrt x))) 1) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* y x) (/ 1 (sqrt x)))
1.0ms	y	@	0	((+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (/ x (sqrt x)) y) 1) (/ x (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (- (+ (* (sqrt x) y) 1) x) (+ (* (sqrt x) y) 1) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y) (+ (* (* y x) (/ 1 (sqrt x))) 1) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* y x) (/ 1 (sqrt x)))

simplify72.0ms (2.2%)

Memory

10.7MiB live, 54.2MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	299
1	234	265
2	744	260
0	3009	242

Stop Event

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

Counts

38 → 38

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

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

rewrite50.0ms (1.5%)

Memory

-14.0MiB live, 32.2MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	222
0	52	216
1	174	208
0	1167	195

Stop Event

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

Counts

20 → 123

Calls

Call 1

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

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

eval18.0ms (0.6%)

Memory: -20.1MiB live, 24.8MiB allocated; 7ms collecting garbage
Compiler: Compiled 3 383 to 498 computations (85.3% saved)

prune8.0ms (0.3%)

Memory

26.6MiB live, 26.6MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	1	0	1
Picked	1	4	5
Done	0	6	6
Total	132	11	143

Accuracy

100.0%

Counts

143 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.7%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	67.7%	(-.f64 #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)) x)
✓	72.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	60.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓	28.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓	33.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
✓	72.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))))
✓	68.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
✓	68.1%	#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))))
	64.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 x (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))
✓	41.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))

Compiler

Compiled 565 to 217 computations (61.6% saved)

regimes30.0ms (0.9%)

Memory

-7.7MiB live, 48.5MiB allocated; 12ms collecting garbage

Counts

21 → 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)))
(-.f64 #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)) x)
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) 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) (fma.f64 x (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
#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))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (fma.f64 (/.f64 y x) (sqrt.f64 x) #s(literal -1 binary64))) x))
#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))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) (-.f64 x (.f64 (sqrt.f64 x) y)) (.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) y #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))))

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

Calls

3 calls:

17.0ms	x
6.0ms	y
5.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

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

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes12.0ms (0.4%)

Memory

-23.8MiB live, 20.3MiB allocated; 5ms collecting garbage

Counts

8 → 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)))
(-.f64 #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)) x)
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)

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

Calls

3 calls:

5.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
3.0ms	x
3.0ms	y

Results

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

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes8.0ms (0.3%)

Memory

22.3MiB live, 22.3MiB allocated; 0ms collecting garbage

Counts

7 → 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)))
(-.f64 #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)) x)
(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:

3.0ms	x
3.0ms	y
2.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
98.2%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
98.8%	2	`x`
98.1%	3	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.8%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.2%)

Memory

-28.9MiB live, 17.1MiB allocated; 3ms collecting garbage

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

Calls

3 calls:

3.0ms	y
2.0ms	x
2.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
95.6%	3	`y`
83.2%	3	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
81.3%	2	`x`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes2.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

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
94.7%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.2%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

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

Results

Accuracy	Segments	Branch
60.2%	1	`x`
60.2%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
60.2%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

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:

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

Results

Accuracy	Segments	Branch
59.8%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
59.2%	2	`x`
37.6%	2	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

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

Results

Accuracy	Segments	Branch
33.3%	1	`y`
33.3%	1	`x`
33.3%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch55.0ms (1.7%)

Memory

-24.0MiB live, 21.7MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
53.0ms	0.8394774984588596	66080771.01795341

Samples

48.0ms

144×

valid

Compiler

Compiled 227 to 201 computations (11.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 42.0ms (94.3% of total)

ival-sub: 1.0ms (2.2% of total)

ival-add: 1.0ms (2.2% of total)

ival-sqrt: 1.0ms (2.2% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.8394774984588596	66080771.01795341

Compiler

Compiled 254 to 219 computations (13.8% saved)

bsearch63.0ms (1.9%)

Memory

-5.3MiB live, 46.1MiB allocated; 10ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
47.0ms	4.042711267385613e-22	8.401269814038814e-15
13.0ms	-1.823118995142284e+67	-1.0940939929666983e+50

Samples

14.0ms

304×

valid

Compiler

Compiled 565 to 469 computations (17% saved)

Precisions

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

ival-sub: 2.0ms (26.2% of total)

ival-mult: 2.0ms (26.2% of total)

ival-sqrt: 2.0ms (26.2% of total)

ival-add: 1.0ms (13.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch13.0ms (0.4%)

Memory

10.6MiB live, 10.6MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	7.055795059687904e+31	3.437522761740172e+36
1.0ms	-1.823118995142284e+67	-1.0940939929666983e+50

Samples

6.0ms

128×

valid

Compiler

Compiled 587 to 462 computations (21.3% saved)

Precisions

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

ival-sub: 1.0ms (32% of total)

ival-add: 1.0ms (32% of total)

ival-mult: 1.0ms (32% of total)

ival-sqrt: 1.0ms (32% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-66080770.01795341	0.16052250154114045

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify52.0ms (1.6%)

Memory

0.3MiB live, 46.4MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	234
1	65	234
2	82	234
3	121	234
4	186	234
5	453	234
6	3399	234
7	5916	234

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(if (<=.f64 x #s(literal 1 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 x #s(literal 1 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (-.f64 #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)) x))
(if (<=.f64 y #s(literal -5999999999999999696322811782444113201781870066080460438503424 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (.f64 (sqrt.f64 x) y))) (if (<=.f64 y #s(literal 5197367460935741/633825300114114700748351602688 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 -5999999999999999696322811782444113201781870066080460438503424 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (.f64 (sqrt.f64 x) y))) (if (<=.f64 y #s(literal 3399999999999999819567471374372962304 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 -50000000 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))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(if (<=.f64 x #s(literal 1 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 x #s(literal 1 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (-.f64 #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)) x))
(if (<=.f64 y #s(literal -5999999999999999696322811782444113201781870066080460438503424 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (.f64 (sqrt.f64 x) y))) (if (<=.f64 y #s(literal 5197367460935741/633825300114114700748351602688 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 -5999999999999999696322811782444113201781870066080460438503424 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (.f64 (sqrt.f64 x) y))) (if (<=.f64 y #s(literal 3399999999999999819567471374372962304 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 (or (<=.f64 y #s(literal -5999999999999999696322811782444113201781870066080460438503424 binary64)) (not (<=.f64 y #s(literal 3399999999999999819567471374372962304 binary64)))) #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))) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) #s(literal -50000000 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)))

derivations61.0ms (1.9%)

Memory

15.2MiB live, 56.1MiB allocated; 11ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 234 to 46 computations (80.3% saved)

preprocess59.0ms (1.8%)

Memory: -27.8MiB live, 81.3MiB allocated; 22ms collecting garbage
Compiler: Compiled 484 to 106 computations (78.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze16.0ms (0.5%)

sample857.0ms (26.3%)

explain101.0ms (3.1%)

preprocess209.0ms (6.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify159.0ms (4.9%)

localize26.0ms (0.8%)

series5.0ms (0.2%)

simplify82.0ms (2.5%)

rewrite64.0ms (2%)

eval5.0ms (0.1%)

prune5.0ms (0.1%)

simplify114.0ms (3.5%)

localize76.0ms (2.3%)

series8.0ms (0.2%)

simplify71.0ms (2.2%)

rewrite72.0ms (2.2%)

eval43.0ms (1.3%)

prune9.0ms (0.3%)

simplify184.0ms (5.7%)

localize107.0ms (3.3%)

series63.0ms (1.9%)

simplify103.0ms (3.2%)

rewrite52.0ms (1.6%)

eval42.0ms (1.3%)

prune31.0ms (0.9%)

simplify132.0ms (4%)

localize86.0ms (2.7%)

series11.0ms (0.3%)

simplify72.0ms (2.2%)

rewrite50.0ms (1.5%)

eval18.0ms (0.6%)

prune8.0ms (0.3%)

regimes30.0ms (0.9%)

regimes12.0ms (0.4%)

regimes8.0ms (0.3%)

regimes3.0ms (0.1%)

regimes8.0ms (0.2%)

regimes2.0ms (0.1%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch55.0ms (1.7%)

bsearch1.0ms (0%)

bsearch63.0ms (1.9%)

bsearch13.0ms (0.4%)

bsearch0.0ms (0%)

simplify52.0ms (1.6%)

derivations61.0ms (1.9%)

preprocess59.0ms (1.8%)

end0.0ms (0%)

Profiling