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)

sample599.0ms (30.7%)

Memory

22.8MiB live, 923.5MiB allocated; 104ms collecting garbage

Samples

367.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-mult!: 86.0ms (80.3% of total)

ival-add!: 19.0ms (17.7% of total)

adjust: 2.0ms (1.9% of total)

Bogosity

explain130.0ms (6.7%)

Memory

-40.8MiB live, 104.2MiB allocated; 12ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
13	-	-	`(.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**	13	0

Confusion

	Predicted +	Predicted -
+	13	0
-	0	243

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	13	0	0
-	0	0	243

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	243
1	13

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

19.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult!: 5.0ms (76.6% of total)

ival-add!: 1.0ms (15.3% of total)

adjust: 0.0ms (0% of total)

preprocess421.0ms (21.6%)

Memory

31.3MiB live, 329.4MiB allocated; 158ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	44
1	71	44
2	238	42
3	508	42
4	1569	42
5	5660	42
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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

series22.0ms (1.1%)

Memory

-34.7MiB live, 15.1MiB allocated; 18ms collecting garbage

Counts

6 → 12

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
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* x (+ 1 (pow y 2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 x))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (+ 1 (* y y)) #s(hole binary64 1))
#s(approx (+ 1 (* y y)) #s(hole binary64 (+ 1 (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* x (pow y 2))))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
#s(approx (+ 1 (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ 1 (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ 1 (pow y 2))))))

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	x	@	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)
1.0ms	y	@	-inf	((* x (+ 1 (* y y))) x (+ 1 (* y y)) 1 (* y y) y)

rewrite67.0ms (3.4%)

Memory

35.2MiB live, 76.9MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	146
0	37	140
1	138	140
0	1034	125

Stop Event

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

Counts

18 → 126

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
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* x (+ 1 (pow y 2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 x))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (+ 1 (* y y)) #s(hole binary64 1))
#s(approx (+ 1 (* y y)) #s(hole binary64 (+ 1 (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* x (pow y 2))))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
#s(approx (+ 1 (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ 1 (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ 1 (pow y 2))))))

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

eval15.0ms (0.8%)

Memory: -17.5MiB live, 29.2MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 518 to 377 computations (75.2% saved)

prune6.0ms (0.3%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	120	6	126
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	121	6	127

Accuracy

100.0%

Counts

127 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.2%	(fma.f64 (*.f64 y y) x x)
▶	99.9%	(fma.f64 (*.f64 x y) y x)
▶	65.7%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (.f64 y y)))
	57.7%	(/.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)))
▶	48.1%	(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
▶	50.8%	#s(approx (* x (+ 1 (* y y))) x)

Compiler

Compiled 124 to 92 computations (25.8% saved)

series31.0ms (1.6%)

Memory

-23.2MiB live, 31.2MiB allocated; 21ms collecting garbage

Counts

16 → 44

Calls

Call 1

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

Outputs
#s(approx (+ (* (* x y) y) x) #s(hole binary64 (* x (+ 1 (pow y 2)))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* x (+ 1 (pow y 2)))))
#s(approx (+ (* (* y y) x) x) #s(hole binary64 (* x (+ 1 (pow y 2)))))
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) #s(hole binary64 (/ (* x (- 1 (pow y 4))) (- 1 (pow y 2)))))
#s(approx (* (- 1 (pow y 4)) x) #s(hole binary64 (* x (- 1 (pow y 4)))))
#s(approx (+ (* (* x y) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (pow y 2)) 1)))))
#s(approx (+ (* (* y y) x) x) #s(hole binary64 (* -1 (* x (- (* -1 (pow y 2)) 1)))))
#s(approx (+ (* (* x y) y) x) #s(hole binary64 x))
#s(approx (+ (* (* x y) y) x) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx y #s(hole binary64 y))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 x))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (+ 1 (* y y)) #s(hole binary64 1))
#s(approx (+ 1 (* y y)) #s(hole binary64 (+ 1 (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (+ (* (* y y) x) x) #s(hole binary64 x))
#s(approx (+ (* (* y y) x) x) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) #s(hole binary64 x))
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (* (- 1 (pow y 4)) x) #s(hole binary64 x))
#s(approx (* (- 1 (pow y 4)) x) #s(hole binary64 (+ x (* -1 (* x (pow y 4))))))
#s(approx (- 1 (pow y 4)) #s(hole binary64 1))
#s(approx (- 1 (pow y 4)) #s(hole binary64 (+ 1 (* -1 (pow y 4)))))
#s(approx (pow y 4) #s(hole binary64 (pow y 4)))
#s(approx (- 1 (* y y)) #s(hole binary64 1))
#s(approx (- 1 (* y y)) #s(hole binary64 (+ 1 (* -1 (pow y 2)))))
#s(approx (+ (* (* x y) y) x) #s(hole binary64 (* x (pow y 2))))
#s(approx (+ (* (* x y) y) x) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* x (pow y 2))))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
#s(approx (+ 1 (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ 1 (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ 1 (pow y 2))))))
#s(approx (+ (* (* y y) x) x) #s(hole binary64 (* x (pow y 2))))
#s(approx (+ (* (* y y) x) x) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) #s(hole binary64 (* x (pow y 2))))
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
#s(approx (* (- 1 (pow y 4)) x) #s(hole binary64 (* -1 (* x (pow y 4)))))
#s(approx (* (- 1 (pow y 4)) x) #s(hole binary64 (* (pow y 4) (+ (* -1 x) (/ x (pow y 4))))))
#s(approx (- 1 (pow y 4)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (- 1 (pow y 4)) #s(hole binary64 (* (pow y 4) (- (/ 1 (pow y 4)) 1))))
#s(approx (- 1 (* y y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (- 1 (* y y)) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1))))

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	x	@	-inf	((+ (* (* x y) y) x) (* x y) x y (* x (+ 1 (* y y))) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (+ (* (* y y) x) x) (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (* (- 1 (pow y 4)) x) (- 1 (pow y 4)) 1 (pow y 4) 4 (- 1 (* y y)))
3.0ms	y	@	inf	((+ (* (* x y) y) x) (* x y) x y (* x (+ 1 (* y y))) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (+ (* (* y y) x) x) (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (* (- 1 (pow y 4)) x) (- 1 (pow y 4)) 1 (pow y 4) 4 (- 1 (* y y)))
3.0ms	x	@	0	((+ (* (* x y) y) x) (* x y) x y (* x (+ 1 (* y y))) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (+ (* (* y y) x) x) (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (* (- 1 (pow y 4)) x) (- 1 (pow y 4)) 1 (pow y 4) 4 (- 1 (* y y)))
2.0ms	x	@	inf	((+ (* (* x y) y) x) (* x y) x y (* x (+ 1 (* y y))) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (+ (* (* y y) x) x) (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (* (- 1 (pow y 4)) x) (- 1 (pow y 4)) 1 (pow y 4) 4 (- 1 (* y y)))
2.0ms	y	@	-inf	((+ (* (* x y) y) x) (* x y) x y (* x (+ 1 (* y y))) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (+ (* (* y y) x) x) (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (* (- 1 (pow y 4)) x) (- 1 (pow y 4)) 1 (pow y 4) 4 (- 1 (* y y)))

rewrite104.0ms (5.3%)

Memory

-2.7MiB live, 89.6MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	674
0	122	591
1	406	587
0	2611	573

Stop Event

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

Counts

60 → 322

Calls

Call 1

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

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

eval29.0ms (1.5%)

Memory: 35.1MiB live, 35.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 731 to 817 computations (82.7% saved)

prune41.0ms (2.1%)

Memory

-27.1MiB live, 18.4MiB allocated; 4ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	312	1	313
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	314	5	319

Accuracy

100.0%

Counts

319 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.2%	(fma.f64 (*.f64 y y) x x)
✓	99.9%	(fma.f64 (*.f64 x y) y x)
▶	65.7%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) y)) x) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
✓	48.1%	(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
✓	50.8%	#s(approx (* x (+ 1 (* y y))) x)

Compiler

Compiled 49 to 33 computations (32.7% saved)

series8.0ms (0.4%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Counts

10 → 23

Calls

Call 1

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

Outputs
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 (/ (* x (- 1 (pow y 4))) (- 1 (pow y 2)))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 (* x (- 1 (pow y 4)))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 x))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 x))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 (+ x (* -1 (* x (pow y 4))))))
#s(approx (- 1 (* (* (* y y) y) y)) #s(hole binary64 1))
#s(approx (- 1 (* (* (* y y) y) y)) #s(hole binary64 (+ 1 (* -1 (pow y 4)))))
#s(approx (* (* (* y y) y) y) #s(hole binary64 (pow y 4)))
#s(approx (* (* y y) y) #s(hole binary64 (pow y 3)))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (- 1 (* y y)) #s(hole binary64 1))
#s(approx (- 1 (* y y)) #s(hole binary64 (+ 1 (* -1 (pow y 2)))))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 (* x (pow y 2))))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 (* -1 (* x (pow y 4)))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 (* (pow y 4) (+ (* -1 x) (/ x (pow y 4))))))
#s(approx (- 1 (* (* (* y y) y) y)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (- 1 (* (* (* y y) y) y)) #s(hole binary64 (* (pow y 4) (- (/ 1 (pow y 4)) 1))))
#s(approx (- 1 (* y y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (- 1 (* y y)) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1))))

Calls

6 calls:

Time	Variable		Point	Expression
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)))
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)))
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)))
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)))
1.0ms	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)))

rewrite87.0ms (4.5%)

Memory

5.6MiB live, 93.2MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	429
0	86	344
1	321	293
0	2194	283

Stop Event

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

Counts

33 → 221

Calls

Call 1

Inputs
(/.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)
y
x
(-.f64 #s(literal 1 binary64) (*.f64 y y))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 (/ (* x (- 1 (pow y 4))) (- 1 (pow y 2)))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 (* x (- 1 (pow y 4)))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 x))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 x))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 (+ x (* -1 (* x (pow y 4))))))
#s(approx (- 1 (* (* (* y y) y) y)) #s(hole binary64 1))
#s(approx (- 1 (* (* (* y y) y) y)) #s(hole binary64 (+ 1 (* -1 (pow y 4)))))
#s(approx (* (* (* y y) y) y) #s(hole binary64 (pow y 4)))
#s(approx (* (* y y) y) #s(hole binary64 (pow y 3)))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (- 1 (* y y)) #s(hole binary64 1))
#s(approx (- 1 (* y y)) #s(hole binary64 (+ 1 (* -1 (pow y 2)))))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 (* x (pow y 2))))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 (* -1 (* x (pow y 4)))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 (* (pow y 4) (+ (* -1 x) (/ x (pow y 4))))))
#s(approx (- 1 (* (* (* y y) y) y)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (- 1 (* (* (* y y) y) y)) #s(hole binary64 (* (pow y 4) (- (/ 1 (pow y 4)) 1))))
#s(approx (- 1 (* y y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (- 1 (* y y)) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1))))

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

eval27.0ms (1.4%)

Memory: 19.5MiB live, 63.1MiB allocated; 6ms collecting garbage
Compiler: Compiled 4 874 to 915 computations (81.2% saved)

prune8.0ms (0.4%)

Memory

-23.3MiB live, 20.9MiB allocated; 5ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	257	1	258
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	258	5	263

Accuracy

100.0%

Counts

263 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.2%	(fma.f64 (*.f64 y y) x x)
✓	99.9%	(fma.f64 (*.f64 x y) y x)
▶	16.9%	(/.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)))
✓	48.1%	(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
✓	50.8%	#s(approx (* x (+ 1 (* y y))) x)

Compiler

Compiled 54 to 38 computations (29.6% saved)

series9.0ms (0.5%)

Memory

30.7MiB live, 30.7MiB allocated; 0ms collecting garbage

Counts

12 → 25

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
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 (/ (* x (- 1 (pow y 4))) (- 1 (pow y 2)))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 (* x (- 1 (pow y 4)))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 x))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 x))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 (+ x (* -1 (* x (pow y 4))))))
#s(approx (- 1 (* (* (* y y) y) y)) #s(hole binary64 1))
#s(approx (- 1 (* (* (* y y) y) y)) #s(hole binary64 (+ 1 (* -1 (pow y 4)))))
#s(approx (* (* (* y y) y) y) #s(hole binary64 (pow y 4)))
#s(approx (* (* y y) y) #s(hole binary64 (pow y 3)))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (- 1 (* y y)) #s(hole binary64 1))
#s(approx (- 1 (* y y)) #s(hole binary64 (+ 1 (* -1 (pow y 2)))))
#s(approx (* (neg y) y) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 (* x (pow y 2))))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 (* -1 (* x (pow y 4)))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 (* (pow y 4) (+ (* -1 x) (/ x (pow y 4))))))
#s(approx (- 1 (* (* (* y y) y) y)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (- 1 (* (* (* y y) y) y)) #s(hole binary64 (* (pow y 4) (- (/ 1 (pow y 4)) 1))))
#s(approx (- 1 (* y y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (- 1 (* y y)) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1))))

Calls

6 calls:

Time	Variable		Point	Expression
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))
1.0ms	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))

rewrite85.0ms (4.4%)

Memory

-18.5MiB live, 133.1MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	461
0	92	373
1	333	329
0	2244	320

Stop Event

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

Counts

37 → 182

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)
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 (/ (* x (- 1 (pow y 4))) (- 1 (pow y 2)))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 (* x (- 1 (pow y 4)))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 x))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 x))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 (+ x (* -1 (* x (pow y 4))))))
#s(approx (- 1 (* (* (* y y) y) y)) #s(hole binary64 1))
#s(approx (- 1 (* (* (* y y) y) y)) #s(hole binary64 (+ 1 (* -1 (pow y 4)))))
#s(approx (* (* (* y y) y) y) #s(hole binary64 (pow y 4)))
#s(approx (* (* y y) y) #s(hole binary64 (pow y 3)))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (- 1 (* y y)) #s(hole binary64 1))
#s(approx (- 1 (* y y)) #s(hole binary64 (+ 1 (* -1 (pow y 2)))))
#s(approx (* (neg y) y) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 (* x (pow y 2))))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 (* -1 (* x (pow y 4)))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 (* (pow y 4) (+ (* -1 x) (/ x (pow y 4))))))
#s(approx (- 1 (* (* (* y y) y) y)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (- 1 (* (* (* y y) y) y)) #s(hole binary64 (* (pow y 4) (- (/ 1 (pow y 4)) 1))))
#s(approx (- 1 (* y y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (- 1 (* y y)) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1))))

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

eval21.0ms (1.1%)

Memory: 2.3MiB live, 47.7MiB allocated; 4ms collecting garbage
Compiler: Compiled 4 470 to 781 computations (82.5% saved)

prune64.0ms (3.3%)

Memory

-15.4MiB live, 38.9MiB allocated; 60ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	190	0	190
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	190	5	195

Accuracy

100.0%

Counts

195 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.2%	(fma.f64 (*.f64 y y) x x)
✓	99.9%	(fma.f64 (*.f64 x y) y x)
✓	16.9%	(/.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)))
✓	48.1%	(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
✓	50.8%	#s(approx (* x (+ 1 (* y y))) x)

Compiler

Compiled 162 to 77 computations (52.5% saved)

regimes21.0ms (1.1%)

Memory

-17.2MiB live, 30.7MiB allocated; 13ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	(*.f64 y y)
3.0ms	x
3.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
3.0ms	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)

regimes6.0ms (0.3%)

Memory

20.3MiB live, 20.3MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
93.9%	2	`(*.f64 y y)`
93.9%	2	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
80.2%	2	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
63.5%	6	`x`
93.9%	2	`y`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes5.0ms (0.3%)

Memory

17.3MiB live, 17.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* x (+ 1 (* y y))) x)

Outputs
#s(approx (* x (+ 1 (* y y))) x)

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
50.8%	1	`x`
50.8%	1	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
50.8%	1	`(*.f64 y y)`
50.8%	1	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
50.8%	1	`y`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

bsearch11.0ms (0.6%)

Memory

-27.4MiB live, 18.4MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.07358850261750571	15.569015388442923

Samples

4.0ms

112×

valid

Compiler

Compiled 150 to 130 computations (13.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult!: 1.0ms (75% of total)

adjust: 0.0ms (0% of total)

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

derivations12.0ms (0.6%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 39 to 15 computations (61.5% saved)

preprocess119.0ms (6.1%)

Memory

-30.7MiB live, 63.1MiB allocated; 22ms collecting garbage

Remove

(negabs x)

(abs y)

Compiler

Compiled 310 to 174 computations (43.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample599.0ms (30.7%)

explain130.0ms (6.7%)

preprocess421.0ms (21.6%)

eval0.0ms (0%)

prune0.0ms (0%)

series22.0ms (1.1%)

rewrite67.0ms (3.4%)

eval15.0ms (0.8%)

prune6.0ms (0.3%)

series31.0ms (1.6%)

rewrite104.0ms (5.3%)

eval29.0ms (1.5%)

prune41.0ms (2.1%)

series8.0ms (0.4%)

rewrite87.0ms (4.5%)

eval27.0ms (1.4%)

prune8.0ms (0.4%)

series9.0ms (0.5%)

rewrite85.0ms (4.4%)

eval21.0ms (1.1%)

prune64.0ms (3.3%)

regimes21.0ms (1.1%)

regimes6.0ms (0.3%)

regimes5.0ms (0.3%)

bsearch11.0ms (0.6%)

derivations12.0ms (0.6%)

preprocess119.0ms (6.1%)

end0.0ms (0%)

Profiling