Metrics for Numeric.Integration.TanhSinh:everywhere from integration-0.2.1

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.0s (38.1%)

Memory

0.9MiB live, 1 213.3MiB allocated; 316ms collecting garbage

Samples

632.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 313.0ms

ival-add: 158.0ms (50.4% of total)

ival-mult: 140.0ms (44.7% of total)

ival-true: 6.0ms (1.9% of total)

exact: 5.0ms (1.6% of total)

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

adjust: 2.0ms (0.6% of total)

Bogosity

explain133.0ms (5.1%)

Memory

12.6MiB live, 200.1MiB allocated; 15ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
21	-	-	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
0	-	-	`y`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 y y)`
0	-	-	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`	*no**	21	0

Confusion

	Predicted +	Predicted -
+	21	0
-	0	235

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	21	0	0
-	0	0	235

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	235
1	21

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

25.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-mult: 9.0ms (72% of total)

ival-add: 2.0ms (16% 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)

preprocess191.0ms (7.3%)

Memory

8.7MiB live, 242.3MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	71	37
2	238	35
3	513	35
4	1574	35
5	5660	35
0	6	7
0	9	7
1	25	7
2	74	7
3	215	7
4	809	7
5	3546	7
0	8077	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% 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
▶	92.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

series18.0ms (0.7%)

Memory

-37.8MiB live, 7.0MiB allocated; 7ms collecting garbage

Counts

6 → 10

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	x	@	-inf	((* x (+ 1 (* y y))) x (+ 1 (* y y)) 1 (* y y) y)
1.0ms	y	@	inf	((* x (+ 1 (* y y))) x (+ 1 (* y y)) 1 (* y y) y)
1.0ms	x	@	inf	((* x (+ 1 (* y y))) x (+ 1 (* y y)) 1 (* y y) y)
1.0ms	x	@	0	((* x (+ 1 (* y y))) x (+ 1 (* y y)) 1 (* y y) y)
1.0ms	y	@	-inf	((* x (+ 1 (* y y))) x (+ 1 (* y y)) 1 (* y y) y)

simplify138.0ms (5.2%)

Memory

4.5MiB live, 191.9MiB allocated; 61ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	42
1	46	42
2	120	42
3	758	42
4	7333	42
0	8255	37

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 8

Calls

Call 1

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

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

rewrite68.0ms (2.6%)

Memory

20.8MiB live, 128.6MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	41	18
0	322	16

Stop Event

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

Counts

6 → 75

Calls

Call 1

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

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

eval9.0ms (0.4%)

Memory: -12.0MiB live, 35.6MiB allocated; 1ms collecting garbage
Compiler: Compiled 867 to 225 computations (74% saved)

prune3.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	77	4	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	4	82

Accuracy

99.9%

Counts

82 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 x y) y x)
▶	68.9%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (.f64 y y)))
▶	55.5%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
▶	39.8%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))

Compiler

Compiled 41 to 31 computations (24.4% saved)

series16.0ms (0.6%)

Memory

-1.9MiB live, 45.3MiB allocated; 1ms collecting garbage

Counts

16 → 24

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	((* x (+ 1 (* y y))) (* (* y y) x) (* y y) y x (* x (+ 1 (* y y))) (+ 1 (* y y)) 1 (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (* (- 1 (pow y 4)) x) (- 1 (pow y 4)) (pow y 4) 4 (- 1 (* y y)) (+ (* (* x y) y) x) (* x y))
3.0ms	x	@	inf	((* x (+ 1 (* y y))) (* (* y y) x) (* y y) y x (* x (+ 1 (* y y))) (+ 1 (* y y)) 1 (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (* (- 1 (pow y 4)) x) (- 1 (pow y 4)) (pow y 4) 4 (- 1 (* y y)) (+ (* (* x y) y) x) (* x y))
3.0ms	x	@	-inf	((* x (+ 1 (* y y))) (* (* y y) x) (* y y) y x (* x (+ 1 (* y y))) (+ 1 (* y y)) 1 (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (* (- 1 (pow y 4)) x) (- 1 (pow y 4)) (pow y 4) 4 (- 1 (* y y)) (+ (* (* x y) y) x) (* x y))
3.0ms	x	@	0	((* x (+ 1 (* y y))) (* (* y y) x) (* y y) y x (* x (+ 1 (* y y))) (+ 1 (* y y)) 1 (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (* (- 1 (pow y 4)) x) (- 1 (pow y 4)) (pow y 4) 4 (- 1 (* y y)) (+ (* (* x y) y) x) (* x y))
2.0ms	y	@	-inf	((* x (+ 1 (* y y))) (* (* y y) x) (* y y) y x (* x (+ 1 (* y y))) (+ 1 (* y y)) 1 (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (* (- 1 (pow y 4)) x) (- 1 (pow y 4)) (pow y 4) 4 (- 1 (* y y)) (+ (* (* x y) y) x) (* x y))

simplify216.0ms (8.2%)

Memory

-6.9MiB live, 171.0MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	132
1	110	127
2	257	127
3	1385	127
0	8234	120

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 22

Calls

Call 1

Inputs
(* x (+ 1 (pow y 2)))
(* x (pow y 2))
x
(/ (* x (- 1 (pow y 4))) (- 1 (pow y 2)))
(* x (- 1 (pow y 4)))
(* x y)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(+ x (* x (pow y 2)))
(pow y 2)
y
1
(+ 1 (pow y 2))
(+ x (* -1 (* x (pow y 4))))
(+ 1 (* -1 (pow y 4)))
(pow y 4)
(+ 1 (* -1 (pow y 2)))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* -1 (* x (pow y 4)))
(* (pow y 4) (+ (* -1 x) (/ x (pow y 4))))
(* -1 (pow y 4))
(* (pow y 4) (- (/ 1 (pow y 4)) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1))

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

rewrite66.0ms (2.5%)

Memory

17.7MiB live, 71.6MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	83
0	30	90
1	110	75
0	714	73

Stop Event

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

Counts

16 → 174

Calls

Call 1

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

Outputs
#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))
(.f64 (.f64 x (neg.f64 y)) (neg.f64 y))
(.f64 (.f64 x (fabs.f64 y)) (fabs.f64 y))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) x))
(.f64 (fabs.f64 y) (.f64 (fabs.f64 y) x))
(.f64 (.f64 y x) y)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(.f64 x (.f64 y y))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 y)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 y))
(.f64 (.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) y) y)
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(.f64 #s(literal 1 binary64) (.f64 y y))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
y
x
(.f64 #s(approx (+ 1 ( y y)) #s(literal 1 binary64)) x)
(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal 1 binary64)))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) x) (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 y y)))
(/.f64 (.f64 x (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 y y)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 y x) y) #s(literal 2 binary64))) (-.f64 x (.f64 (*.f64 y x) y)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (.f64 (.f64 y x) y) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (.f64 y x) y))))))
(/.f64 (neg.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 y y))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) x) (.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) x) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 y x) y) x))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (.f64 y x) y) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 y x) y) x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (.f64 y x) y)))))
(/.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 y y)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (.f64 y y)))
(neg.f64 (/.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 y y))))
(neg.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (+.f64 #s(literal -1 binary64) (.f64 y y))))
(fma.f64 (*.f64 x (neg.f64 y)) (neg.f64 y) x)
(fma.f64 (*.f64 x (fabs.f64 y)) (fabs.f64 y) x)
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) x) x)
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) x) x)
(fma.f64 (*.f64 y x) y x)
(fma.f64 (*.f64 y y) x x)
(fma.f64 y (*.f64 y x) x)
(fma.f64 x (*.f64 y y) x)
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) y) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y x) y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (*.f64 y x) y) x)))
(-.f64 x (.f64 (neg.f64 (.f64 y x)) y))
(-.f64 x (.f64 (.f64 (neg.f64 y) y) x))
(-.f64 x (.f64 (neg.f64 y) (.f64 y x)))
(-.f64 x (.f64 (neg.f64 x) (.f64 y y)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) y) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (.f64 y x) y))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (.f64 y x) y))))))
(+.f64 (.f64 (.f64 y x) y) x)
(+.f64 x (.f64 (.f64 y x) y))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x)
(*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) x) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) x) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))))
(.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y y)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
(.f64 (.f64 (*.f64 y y) (neg.f64 y)) (neg.f64 y))
(.f64 (.f64 (*.f64 y y) (fabs.f64 y)) (fabs.f64 y))
(.f64 (.f64 (*.f64 y y) y) y)
(.f64 (.f64 (neg.f64 y) (fabs.f64 y)) (*.f64 (neg.f64 y) (fabs.f64 y)))
(.f64 (.f64 (fabs.f64 y) (neg.f64 y)) (*.f64 (fabs.f64 y) (neg.f64 y)))
(.f64 (.f64 (fabs.f64 y) y) (*.f64 (fabs.f64 y) y))
(.f64 (.f64 y (fabs.f64 y)) (*.f64 y (fabs.f64 y)))
(.f64 (.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) (*.f64 y y)))
(.f64 (fabs.f64 y) (.f64 (fabs.f64 y) (*.f64 y y)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(.f64 (.f64 y y) (*.f64 y y))
(.f64 y (.f64 y (*.f64 y y)))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 4 binary64))
(pow.f64 (*.f64 y y) #s(literal 2 binary64))
(pow.f64 y #s(literal 4 binary64))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 y) #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))))
#s(literal 4 binary64)
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 y y)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 y y)))
(*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 y)) (-.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 y)) (-.f64 #s(literal 1 binary64) (fabs.f64 y)))
(*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 y) y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 (neg.f64 y) y #s(literal 1 binary64))
(fma.f64 y (neg.f64 y) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 y)) y))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal 1 binary64)))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) x) (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 y y)))
(/.f64 (.f64 x (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 y y)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 y x) y) #s(literal 2 binary64))) (-.f64 x (.f64 (*.f64 y x) y)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (.f64 (.f64 y x) y) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (.f64 y x) y))))))
(/.f64 (neg.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 y y))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) x) (.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) x) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 y x) y) x))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (.f64 y x) y) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 y x) y) x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (.f64 y x) y)))))
(/.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 y y)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (.f64 y y)))
(neg.f64 (/.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 y y))))
(neg.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (+.f64 #s(literal -1 binary64) (.f64 y y))))
(fma.f64 (*.f64 x (neg.f64 y)) (neg.f64 y) x)
(fma.f64 (*.f64 x (fabs.f64 y)) (fabs.f64 y) x)
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) x) x)
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) x) x)
(fma.f64 (*.f64 y x) y x)
(fma.f64 (*.f64 y y) x x)
(fma.f64 y (*.f64 y x) x)
(fma.f64 x (*.f64 y y) x)
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) y) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y x) y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (*.f64 y x) y) x)))
(-.f64 x (.f64 (neg.f64 (.f64 y x)) y))
(-.f64 x (.f64 (.f64 (neg.f64 y) y) x))
(-.f64 x (.f64 (neg.f64 y) (.f64 y x)))
(-.f64 x (.f64 (neg.f64 x) (.f64 y y)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) y) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (.f64 y x) y))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (.f64 y x) y))))))
(+.f64 (.f64 (.f64 y x) y) x)
(+.f64 x (.f64 (.f64 y x) y))
(*.f64 y x)
(*.f64 x y)

eval19.0ms (0.7%)

Memory: 7.0MiB live, 51.2MiB allocated; 8ms collecting garbage
Compiler: Compiled 2 961 to 514 computations (82.6% saved)

prune41.0ms (1.6%)

Memory

-27.5MiB live, 18.5MiB allocated; 4ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	182	2	184
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	183	5	188

Accuracy

99.9%

Counts

188 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) y x)
▶	68.8%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) y)) x) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
✓	55.5%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
✓	39.8%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
▶	47.4%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))

Compiler

Compiled 58 to 40 computations (31% saved)

series11.0ms (0.4%)

Memory

32.9MiB live, 32.9MiB allocated; 0ms collecting garbage

Counts

13 → 22

Calls

Call 1

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

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

Calls

6 calls:

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

simplify119.0ms (4.5%)

Memory

-32.2MiB live, 207.9MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	113
1	98	109
2	217	109
3	822	109
4	3963	109
0	8606	105

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 20

Calls

Call 1

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

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

rewrite52.0ms (2%)

Memory

-7.9MiB live, 95.4MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	81
0	25	71
1	91	57
0	596	55

Stop Event

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

Counts

13 → 140

Calls

Call 1

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

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

eval25.0ms (1%)

Memory: 20.8MiB live, 64.4MiB allocated; 10ms collecting garbage
Compiler: Compiled 3 423 to 613 computations (82.1% saved)

prune5.0ms (0.2%)

Memory

15.7MiB live, 15.7MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	184	1	185
Fresh	0	0	0
Picked	1	1	2
Done	0	3	3
Total	185	5	190

Accuracy

99.9%

Counts

190 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) y x)
▶	14.5%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) y)) x) #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)))
✓	55.5%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
✓	39.8%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
✓	47.4%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))

Compiler

Compiled 63 to 45 computations (28.6% saved)

series13.0ms (0.5%)

Memory

-25.7MiB live, 19.5MiB allocated; 6ms collecting garbage

Counts

12 → 21

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	((/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* (* (* y y) y) y)) 1 (* (* (* y y) y) y) (* (* y y) y) (* y y) y x (- 1 (* y y)) (* (neg y) y) (neg y))
2.0ms	y	@	-inf	((/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* (* (* y y) y) y)) 1 (* (* (* y y) y) y) (* (* y y) y) (* y y) y x (- 1 (* y y)) (* (neg y) y) (neg y))
2.0ms	y	@	inf	((/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* (* (* y y) y) y)) 1 (* (* (* y y) y) y) (* (* y y) y) (* y y) y x (- 1 (* y y)) (* (neg y) y) (neg y))
1.0ms	x	@	-inf	((/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* (* (* y y) y) y)) 1 (* (* (* y y) y) y) (* (* y y) y) (* y y) y x (- 1 (* y y)) (* (neg y) y) (neg y))
1.0ms	x	@	inf	((/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* (* (* y y) y) y)) 1 (* (* (* y y) y) y) (* (* y y) y) (* y y) y x (- 1 (* y y)) (* (neg y) y) (neg y))

simplify138.0ms (5.2%)

Memory

9.0MiB live, 246.6MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	105
1	90	101
2	200	101
3	756	101
4	3433	101
0	8490	98

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 19

Calls

Call 1

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

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

rewrite108.0ms (4.1%)

Memory

-1.1MiB live, 90.8MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	76
0	22	66
1	70	58
0	435	58

Stop Event

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

Counts

12 → 98

Calls

Call 1

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

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

eval12.0ms (0.4%)

Memory: 32.4MiB live, 32.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 788 to 461 computations (83.5% saved)

prune8.0ms (0.3%)

Memory

-30.1MiB live, 14.2MiB allocated; 8ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	117	5	122

Accuracy

99.9%

Counts

122 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) y x)
✓	14.5%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) y)) x) #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)))
✓	55.5%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
✓	39.8%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
✓	47.4%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))

Compiler

Compiled 163 to 80 computations (50.9% saved)

regimes13.0ms (0.5%)

Memory

31.4MiB live, 31.4MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

Outputs
(fma.f64 (*.f64 x y) y x)

Calls

5 calls:

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

Results

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

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes34.0ms (1.3%)

Memory

-26.9MiB live, 27.1MiB allocated; 49ms collecting garbage

Counts

3 → 2

Calls

Call 1

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

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

Calls

5 calls:

28.0ms	x
2.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
2.0ms	y
1.0ms	(*.f64 y y)
1.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))

Results

Accuracy	Segments	Branch
98.4%	2	`(*.f64 y y)`
98.4%	2	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
82.9%	2	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
63.1%	4	`x`
98.4%	2	`y`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes5.0ms (0.2%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
55.5%	1	`x`
55.5%	1	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
55.5%	1	`(*.f64 y y)`
55.5%	1	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
55.5%	1	`y`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

bsearch14.0ms (0.5%)

Memory

-27.9MiB live, 17.1MiB allocated; 11ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.13677341589256478	2.021225033378225

Samples

4.0ms

96×

valid

Compiler

Compiled 142 to 125 computations (12% saved)

Precisions

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

ival-mult: 1.0ms (54.4% of total)

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify47.0ms (1.8%)

Memory

29.9MiB live, 73.4MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	31	41
2	80	41
3	222	41
4	916	41
5	6385	41

Stop Event

1×	node limit

Calls

Call 1

Inputs

(fma.f64 (*.f64 x y) y x)

(if (<=.f64 y #s(literal 1 binary64)) (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y)))

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

Outputs

(fma.f64 (*.f64 x y) y x)

(if (<=.f64 y #s(literal 1 binary64)) (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y)))

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

derivations73.0ms (2.8%)

Memory

-17.8MiB live, 82.8MiB allocated; 14ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 41 to 16 computations (61% saved)

preprocess30.0ms (1.2%)

Memory

21.6MiB live, 66.7MiB allocated; 7ms collecting garbage

Remove

(negabs x)

(abs y)

Compiler

Compiled 134 to 70 computations (47.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (38.1%)

explain133.0ms (5.1%)

preprocess191.0ms (7.3%)

eval0.0ms (0%)

prune0.0ms (0%)

series18.0ms (0.7%)

simplify138.0ms (5.2%)

rewrite68.0ms (2.6%)

eval9.0ms (0.4%)

prune3.0ms (0.1%)

series16.0ms (0.6%)

simplify216.0ms (8.2%)

rewrite66.0ms (2.5%)

eval19.0ms (0.7%)

prune41.0ms (1.6%)

series11.0ms (0.4%)

simplify119.0ms (4.5%)

rewrite52.0ms (2%)

eval25.0ms (1%)

prune5.0ms (0.2%)

series13.0ms (0.5%)

simplify138.0ms (5.2%)

rewrite108.0ms (4.1%)

eval12.0ms (0.4%)

prune8.0ms (0.3%)

regimes13.0ms (0.5%)

regimes34.0ms (1.3%)

regimes5.0ms (0.2%)

bsearch14.0ms (0.5%)

simplify47.0ms (1.8%)

derivations73.0ms (2.8%)

preprocess30.0ms (1.2%)

end0.0ms (0%)

Profiling