Metrics for Data.Number.Erf:$dmerfcx from erf-2.0.0.0

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample1.1s (5.2%)

Memory

3.9MiB live, 836.3MiB allocated

Samples

669.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 259.0ms

ival-mult: 163.0ms (63.1% of total)

ival-exp: 85.0ms (32.9% of total)

ival-true: 6.0ms (2.3% of total)

ival-assert: 4.0ms (1.5% of total)

Bogosity

explain92.0ms (0.4%)

Memory

7.5MiB live, 47.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(exp.f64 (*.f64 y y))`
0	-	-	`y`
0	-	-	`(*.f64 y y)`
0	-	-	`(.f64 x (exp.f64 (.f64 y y)))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f64`	`(exp.f64 (*.f64 y y))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms

512×

valid

Compiler

Compiled 55 to 24 computations (56.4% saved)

Precisions

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

ival-mult: 7.0ms (60.8% of total)

ival-exp: 4.0ms (34.8% of total)

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

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

preprocess34.0ms (0.2%)

Memory

6.2MiB live, 6.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	32
1	49	32
2	99	32
3	216	32
4	362	32
5	517	32
6	603	32
7	640	32
8	674	32
9	681	32
10	685	32
11	686	32
0	5	6
0	8	6
1	11	6
0	11	6

Stop Event

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

Calls

Call 1

Inputs
(.f64 x (exp.f64 (.f64 y y)))

Outputs
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 (pow.f64 (exp.f64 y) y) x)

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 x (exp.f64 (.f64 y y)))

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	-6144	(exp.f64 (*.f64 y y))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 x (exp.f64 (.f64 y y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	11	15
0	11	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 x (exp.f64 (.f64 y y)))
x
(exp.f64 (*.f64 y y))
(*.f64 y y)
y

Outputs
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
x
(exp.f64 (*.f64 y y))
(pow.f64 (exp.f64 y) y)
(*.f64 y y)
y

localize16.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0.0078125	(.f64 x (exp.f64 (.f64 y y)))
accuracy	0.01897648826221708	(exp.f64 (*.f64 y y))

Samples

11.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

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

ival-mult: 3.0ms (54.3% of total)

ival-exp: 2.0ms (36.2% of total)

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

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

series4.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Counts

3 → 11

Calls

Call 1

Inputs
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 y y)
(exp.f64 (*.f64 y y))

Outputs
(* x (exp (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(pow y 2)
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(exp (pow y 2))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	((* x (exp (* y y))) (* y y) (exp (* y y)))
1.0ms	x	@	0	((* x (exp (* y y))) (* y y) (exp (* y y)))
1.0ms	y	@	inf	((* x (exp (* y y))) (* y y) (exp (* y y)))
1.0ms	x	@	inf	((* x (exp (* y y))) (* y y) (exp (* y y)))
1.0ms	x	@	-inf	((* x (exp (* y y))) (* y y) (exp (* y y)))

simplify109.0ms (0.5%)

Memory

-11.3MiB live, 25.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	97
1	95	97
2	276	91
3	750	89
4	989	89
5	1161	89
6	1318	89
7	1436	89
8	1436	87
9	1767	87
10	1800	87
11	1801	87
12	1823	87
0	1823	75

Stop Event

1×	iter limit
1×	saturated

Counts

11 → 10

Calls

Call 1

Inputs
(* x (exp (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(pow y 2)
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(exp (pow y 2))

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

rewrite147.0ms (0.7%)

Memory

-15.0MiB live, 30.7MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	13	13
2	26	13
3	69	13
4	294	5
0	2666	5

Stop Event

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

Counts

3 → 7

Calls

Call 1

Inputs
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 y y)
(exp.f64 (*.f64 y y))

Outputs
(.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
y
#s(literal 0 binary64)
#s(literal 1 binary64)

eval8.0ms (0%)

Memory: 1.6MiB live, 1.6MiB allocated
Compiler: Compiled 171 to 47 computations (72.5% saved)

prune2.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	13	4	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	5	18

Accuracy

100.0%

Counts

18 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
▶	97.9%	(*.f64 x (exp.f64 y))
▶	100.0%	(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
▶	54.4%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
▶	81.0%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))

Compiler

Compiled 42 to 32 computations (23.8% saved)

simplify7.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(exp.f64 y)
cost-diff	0	(*.f64 x (exp.f64 y))
cost-diff	0	(exp.f64 y)
cost-diff	0	(pow.f64 (exp.f64 y) y)
cost-diff	0	#s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))
cost-diff	0	(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
cost-diff	0	#s(approx (exp (* y y)) #s(literal 1 binary64))
cost-diff	0	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 (*.f64 y y) x x)
cost-diff	0	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	76
0	24	76
1	37	76
2	42	76
3	48	76
4	48	76
5	91	76
6	91	76
7	96	76
8	97	76
0	97	76

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(fma.f64 (*.f64 y y) x x)
(*.f64 y y)
y
x
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
x
#s(approx (exp (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
x
#s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))
(pow.f64 (exp.f64 y) y)
(exp.f64 y)
y
(*.f64 x (exp.f64 y))
x
(exp.f64 y)
y

Outputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(fma.f64 (*.f64 y y) x x)
(*.f64 y y)
y
x
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
(.f64 #s(approx (exp ( y y)) #s(literal 1 binary64)) x)
x
#s(approx (exp (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
(.f64 #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)) x)
x
#s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))
(pow.f64 (exp.f64 y) y)
(exp.f64 y)
y
(*.f64 x (exp.f64 y))
(*.f64 (exp.f64 y) x)
x
(exp.f64 y)
y

localize36.0ms (0.2%)

Memory

17.9MiB live, 17.9MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(exp.f64 y)
accuracy	0.015625	(*.f64 x (exp.f64 y))
accuracy	0	#s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))
accuracy	0.00390625	(exp.f64 y)
accuracy	0.0078125	(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
accuracy	0.01171875	(pow.f64 (exp.f64 y) y)
accuracy	0.0078125	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
accuracy	29.364966796317706	#s(approx (exp (* y y)) #s(literal 1 binary64))
accuracy	0	(*.f64 y y)
accuracy	3.587931285964665	(fma.f64 (*.f64 y y) x x)
accuracy	15.66534724195562	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))

Samples

26.0ms

256×

valid

Compiler

Compiled 134 to 29 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 6.0ms (37.6% of total)

ival-exp: 4.0ms (25.1% of total)

ival-pow: 4.0ms (25.1% of total)

ival-add: 1.0ms (6.3% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

10 → 23

Calls

Call 1

Inputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(fma.f64 (*.f64 y y) x x)
(*.f64 y y)
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
#s(approx (exp (* y y)) #s(literal 1 binary64))
(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
#s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))
(pow.f64 (exp.f64 y) y)
(exp.f64 y)
(*.f64 x (exp.f64 y))

Outputs
(* x (exp (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (exp y))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(pow y 2)
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(+ x (* x y))
(+ x (* y (+ x (* 1/2 (* x y)))))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(exp (pow y 2))
(exp y)

Calls

6 calls:

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

simplify14.4s (68.2%)

Memory

-9.9MiB live, 154.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	187
1	208	187
2	528	179
3	1311	177
4	2230	177
5	6523	177
0	8102	151

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

Inputs
(* x (exp (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (exp y))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(pow y 2)
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(+ x (* x y))
(+ x (* y (+ x (* 1/2 (* x y)))))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(exp (pow y 2))
(exp y)

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

rewrite363.0ms (1.7%)

Memory

17.0MiB live, 174.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	66
0	24	66
1	58	66
2	240	66
3	1957	66
0	8246	66

Stop Event

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

Counts

10 → 238

Calls

Call 1

Inputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(fma.f64 (*.f64 y y) x x)
(*.f64 y y)
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
#s(approx (exp (* y y)) #s(literal 1 binary64))
(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
#s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))
(pow.f64 (exp.f64 y) y)
(exp.f64 y)
(*.f64 x (exp.f64 y))

Outputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 (.f64 y y) x) x) (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 (.f64 y y) x) x) (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (.f64 y y) x)))) (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (.f64 y y) x)))) (fma.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (neg.f64 x))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (fma.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) #s(literal 2 binary64)))) (fma.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (neg.f64 x)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) #s(literal 3 binary64)))) (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) (-.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))))))
(.f64 (/.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (neg.f64 x))) (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (neg.f64 x)))) (fma.f64 (.f64 y y) x x))
(.f64 (.f64 x (-.f64 x (.f64 (pow.f64 y #s(literal 4 binary64)) x))) (pow.f64 (-.f64 x (.f64 (*.f64 y y) x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 (.f64 y y) x) x) #s(literal -1 binary64)) (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (neg.f64 x))))
(.f64 (pow.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (.f64 y y) x)))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (neg.f64 x)))) (pow.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) x) x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (*.f64 y y) x))))) #s(literal -1 binary64)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (neg.f64 x))) (pow.f64 (-.f64 (.f64 (.f64 y y) x) x) #s(literal -1 binary64)))
(.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (.f64 y y) x)))) (/.f64 (fma.f64 (.f64 y y) x x) (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (.f64 y y) x))))))
(.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (.f64 y y) x)))) (.f64 (fma.f64 (.f64 y y) x x) (pow.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (*.f64 y y) x)))) #s(literal -1 binary64))))
(.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (*.f64 y y) x)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) x x))
(.f64 (fma.f64 (.f64 y y) x x) (/.f64 (-.f64 (.f64 (.f64 y y) x) x) (-.f64 (.f64 (.f64 y y) x) x)))
(.f64 (fma.f64 (.f64 y y) x x) (.f64 (-.f64 (.f64 (.f64 y y) x) x) (pow.f64 (-.f64 (.f64 (*.f64 y y) x) x) #s(literal -1 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y y) x x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (.f64 y y) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 y y) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (.f64 y y) x))) (/.f64 (.f64 x x) (-.f64 x (.f64 (.f64 y y) x))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (-.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 (/.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 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 (*.f64 y y) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (.f64 (.f64 x #s(literal 1 binary64)) (.f64 (*.f64 y y) x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 (.f64 y y) x) x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 y y) x) x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) x))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 y y) x) x)))) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 y y) x) x))))) (.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) x))) (neg.f64 (.f64 x (/.f64 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 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x (-.f64 (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (.f64 y y) x) (*.f64 #s(literal 1 binary64) x)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x (-.f64 (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64))) (.f64 (.f64 (.f64 y y) x) (*.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 y y))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 (.f64 (.f64 y y) x) x) #s(literal -1 binary64)))) (neg.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 (.f64 (.f64 y y) x) x) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (.f64 y y) x)))) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (.f64 y y) x)))) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (*.f64 y y) x))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 x (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 y y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) x))) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 y y) x) x))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) x)) (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 y y) x) x))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 (.f64 y y) x) x) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 (.f64 y y) x) x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 y y) x) x))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) x))) (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 y y) x) x))))))))
(/.f64 (neg.f64 (neg.f64 (.f64 x (-.f64 x (.f64 (pow.f64 y #s(literal 4 binary64)) x))))) (neg.f64 (neg.f64 (-.f64 x (.f64 (.f64 y y) x)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (neg.f64 x)))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (*.f64 y y) x) x)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (.f64 y y) x))))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x)) (-.f64 (.f64 (*.f64 y y) x) x))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (.f64 (*.f64 y y) x) x))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (*.f64 y y) x)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (.f64 y y) x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y y) x) x)) (.f64 (-.f64 (.f64 (.f64 y y) x) x) (.f64 x x)))) (neg.f64 (pow.f64 (-.f64 (.f64 (*.f64 y y) x) x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x (.f64 (.f64 y y) x))) (.f64 (-.f64 x (.f64 (.f64 y y) x)) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)))) (pow.f64 (-.f64 x (.f64 (*.f64 y y) x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))) (neg.f64 (-.f64 (.f64 (.f64 y y) x) x))) (.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) x) x)) (.f64 (neg.f64 x) x))) (.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) x) x)) (neg.f64 (-.f64 (.f64 (.f64 y y) x) x))))
(/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 y y) x) x)) (.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) x) x)) (.f64 x x))) (.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) x) x)) (-.f64 (.f64 (.f64 y y) x) x)))
(/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 (.f64 y y) x) x) (.f64 x x))) (.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) x) x)) #s(literal 1 binary64))) (.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) x) x)) (/.f64 (-.f64 (.f64 (.f64 y y) x) x) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (neg.f64 (-.f64 (.f64 (.f64 y y) x) x))) (.f64 (-.f64 (.f64 (.f64 y y) x) x) (.f64 (neg.f64 x) x))) (.f64 (-.f64 (.f64 (.f64 y y) x) x) (neg.f64 (-.f64 (.f64 (.f64 y y) x) x))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (.f64 y y) x) x) (.f64 x x))) (.f64 (-.f64 (.f64 (.f64 y y) x) x) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 (.f64 y y) x) x) (/.f64 (-.f64 (.f64 (.f64 y y) x) x) (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (.f64 y y) x) x))) (.f64 (/.f64 (-.f64 (.f64 (.f64 y y) x) x) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))) (.f64 (neg.f64 x) x))) (.f64 (/.f64 (-.f64 (.f64 (.f64 y y) x) x) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))) (neg.f64 (-.f64 (.f64 (.f64 y y) x) x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 y y) x) x)) (.f64 (/.f64 (-.f64 (.f64 (.f64 y y) x) x) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))) (.f64 x x))) (.f64 (/.f64 (-.f64 (.f64 (.f64 y y) x) x) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 y y) x) x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 y y) x) x) (.f64 x x))) (.f64 (/.f64 (-.f64 (.f64 (.f64 y y) x) x) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 (.f64 (.f64 y y) x) x) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 (.f64 y y) x) x) (*.f64 x x))))
(/.f64 (-.f64 (neg.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))) (.f64 (neg.f64 x) x)) (neg.f64 (-.f64 (.f64 (*.f64 y y) x) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
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(fma.f64 (.f64 x x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 (.f64 y y) x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 y y) x) x)))))
(fma.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 (.f64 y y) x) x) #s(literal -1 binary64)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 y y) x) x)))))
(fma.f64 (.f64 (.f64 y y) x) (/.f64 (.f64 (.f64 y y) x) (-.f64 (.f64 (.f64 y y) x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 y y) x) x)))))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 y y) x))
(fma.f64 (.f64 y y) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y y) x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 y y) x) x)))))
(fma.f64 (.f64 y y) x (.f64 #s(literal 1 binary64) x))
(fma.f64 (.f64 y y) x (.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) x x)
(fma.f64 y (exp.f64 (log.f64 (.f64 y x))) (.f64 #s(literal 1 binary64) x))
(fma.f64 y (exp.f64 (log.f64 (.f64 y x))) (.f64 x #s(literal 1 binary64)))
(fma.f64 y (exp.f64 (log.f64 (*.f64 y x))) x)
(fma.f64 y (pow.f64 (.f64 y x) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) x))
(fma.f64 y (pow.f64 (.f64 y x) #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)))
(fma.f64 y (pow.f64 (*.f64 y x) #s(literal 1 binary64)) x)
(fma.f64 y (/.f64 (.f64 (.f64 x (pow.f64 y #s(literal 3 binary64))) x) (-.f64 (.f64 (.f64 y y) x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 y y) x) x)))))
(fma.f64 y (.f64 y x) (.f64 #s(literal 1 binary64) x))
(fma.f64 y (.f64 y x) (.f64 x #s(literal 1 binary64)))
(fma.f64 y (*.f64 y x) x)
(fma.f64 x (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (-.f64 (.f64 (.f64 y y) x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 y y) x) x)))))
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 y y) x))
(fma.f64 x (.f64 y y) (.f64 #s(literal 1 binary64) x))
(fma.f64 x (.f64 y y) (.f64 x #s(literal 1 binary64)))
(fma.f64 x (*.f64 y y) x)
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) x))) #s(literal 2 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) x)) (.f64 x (/.f64 x (-.f64 (.f64 (.f64 y y) x) x))))) (/.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 y y) x) x))) #s(literal 2 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) x)) (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 y y) x) x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 (.f64 y y) x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 y y) x) x))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) x))) (.f64 x (/.f64 x (-.f64 (.f64 (.f64 y y) x) x))))))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 (.f64 y y) x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 y y) x) x))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) x))) (.f64 x (/.f64 x (-.f64 (.f64 (.f64 y y) x) x))))))))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y y) x) x)) (pow.f64 (-.f64 (.f64 (.f64 y y) x) x) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (.f64 (.f64 y y) x) x) (.f64 x x)) (pow.f64 (-.f64 (.f64 (*.f64 y y) x) x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 4 binary64)) (.f64 (-.f64 (.f64 (.f64 y y) x) x) (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 (.f64 (.f64 y y) x) x) (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x)))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 6 binary64)) (.f64 (-.f64 (.f64 (.f64 y y) x) x) (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 (.f64 (.f64 y y) x) x) (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 6 binary64)) (.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (.f64 y y) x)))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (.f64 y y) x)))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (.f64 y y) x)))))) (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (*.f64 y y) x)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 4 binary64)) (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x))) (-.f64 (.f64 (.f64 y y) x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x))) (-.f64 (.f64 (.f64 y y) x) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (-.f64 (.f64 (.f64 y y) x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (-.f64 (.f64 (.f64 y y) x) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (.f64 y y) x))))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (.f64 y y) x))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (.f64 (.f64 y y) x) x))) (/.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (neg.f64 x))) (neg.f64 (-.f64 (.f64 (*.f64 y y) x) 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 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) x))) (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 y y) x) x))))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (.f64 y y) x x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (*.f64 y y) x))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 (*.f64 y y) x))
(+.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) x))) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 y y) x) x)))))
(+.f64 (.f64 (.f64 y y) x) (*.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 (.f64 y y) x) (*.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 y y) x) x)
(+.f64 x (.f64 (.f64 y y) x))
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(.f64 y (pow.f64 (.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 y (.f64 y #s(literal 1 binary64)))
(*.f64 y y)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(.f64 #s(approx (exp ( y y)) #s(literal 1 binary64)) x)
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
#s(approx (exp (* y y)) #s(literal 1 binary64))
(.f64 #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)) x)
(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
#s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))
(.f64 (pow.f64 (pow.f64 (exp.f64 y) (.f64 y #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))))
(.f64 (pow.f64 (exp.f64 y) (/.f64 (.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 y) (/.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 (exp.f64 y) (.f64 y #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 y) y)) (sqrt.f64 (pow.f64 (exp.f64 y) y)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 y y))
(pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (neg.f64 y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(pow.f64 (pow.f64 (exp.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) y))
(pow.f64 (pow.f64 (exp.f64 y) (/.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) #s(literal 4 binary64))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (.f64 (.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 y #s(literal 1/4 binary64))))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64))))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 y) y)) #s(literal 2 binary64))
(pow.f64 (exp.f64 y) (+.f64 (/.f64 (.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))))
(pow.f64 (exp.f64 y) (fma.f64 #s(literal 2 binary64) (.f64 y #s(literal 1/4 binary64)) (.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64)))))
(pow.f64 (exp.f64 y) (+.f64 (fma.f64 y #s(literal 1/4 binary64) (.f64 y #s(literal 1/4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64)))))
(pow.f64 (exp.f64 y) (fma.f64 #s(literal 1/2 binary64) y (.f64 #s(literal 2 binary64) (.f64 y #s(literal 1/4 binary64)))))
(pow.f64 (exp.f64 y) (fma.f64 #s(literal 2 binary64) (.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 1/4 binary64) (.f64 y #s(literal 1/4 binary64)))))
(pow.f64 (exp.f64 y) (+.f64 (fma.f64 y #s(literal 1/4 binary64) (.f64 y #s(literal 1/4 binary64))) (fma.f64 y #s(literal 1/4 binary64) (.f64 y #s(literal 1/4 binary64)))))
(pow.f64 (exp.f64 y) (fma.f64 #s(literal 1/2 binary64) y (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64)))))
(pow.f64 (exp.f64 y) (fma.f64 #s(literal 2 binary64) (.f64 y #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) y)))
(pow.f64 (exp.f64 y) (+.f64 (fma.f64 y #s(literal 1/4 binary64) (.f64 y #s(literal 1/4 binary64))) (.f64 #s(literal 1/2 binary64) y)))
(pow.f64 (exp.f64 y) (.f64 (.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(pow.f64 (exp.f64 y) (.f64 (fma.f64 y #s(literal 1/4 binary64) (.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(pow.f64 (exp.f64 y) (*.f64 y #s(literal 1 binary64)))
(pow.f64 (exp.f64 y) y)
(pow.f64 (pow.f64 (exp.f64 y) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 y #s(literal -2 binary64))))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
(exp.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) y (.f64 (*.f64 #s(literal 1/2 binary64) y) y)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 1/2 binary64) y)))
(exp.f64 (*.f64 y y))
(pow.f64 (exp.f64 (sqrt.f64 y)) (sqrt.f64 y))
(exp.f64 y)
(*.f64 (exp.f64 y) x)
(*.f64 x (exp.f64 y))

eval84.0ms (0.4%)

Memory: -3.8MiB live, 32.8MiB allocated
Compiler: Compiled 8 029 to 965 computations (88% saved)

prune93.0ms (0.4%)

Memory

-14.4MiB live, 25.0MiB allocated

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	255	7	262
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	255	12	267

Accuracy

100.0%

Counts

267 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	97.9%	(*.f64 x (exp.f64 y))
▶	100.0%	(.f64 x #s(approx (exp ( y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) y))))
✓	100.0%	(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
	98.9%	(.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)))
✓	54.4%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
	85.9%	(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
✓	81.0%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
▶	75.5%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
▶	81.0%	#s(approx (* x (exp (* y y))) (+.f64 (.f64 (.f64 y y) x) x))
▶	30.8%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x)))
▶	64.2%	#s(approx (* x (exp y)) (fma.f64 y x x))

Compiler

Compiled 244 to 168 computations (31.1% saved)

simplify8.0ms (0%)

Memory

18.2MiB live, 18.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	0	#s(approx (* x (exp (* y y))) (+.f64 (.f64 (.f64 y y) x) x))
cost-diff	128	(+.f64 (.f64 (.f64 y y) x) x)
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 (*.f64 y x) y x)
cost-diff	0	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	0	#s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x))
cost-diff	0	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x)))
cost-diff	0	(fma.f64 y x x)
cost-diff	0	#s(approx (* x (exp y)) (fma.f64 y x x))
cost-diff	0	(pow.f64 (pow.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) y))
cost-diff	0	#s(approx (exp (* y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) y)))
cost-diff	0	(.f64 x #s(approx (exp ( y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) y))))
cost-diff	5824	(pow.f64 (exp.f64 y) #s(literal 1/2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	162
0	41	154
1	59	154
2	65	154
3	75	154
4	75	154
5	118	154
6	118	154
7	127	154
8	128	154
0	128	154

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize342.0ms (1.6%)

Memory

5.2MiB live, 89.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0.0078125	(+.f64 (.f64 (.f64 y y) x) x)
accuracy	6.494170993919216	(.f64 (.f64 y y) x)
accuracy	15.66534724195562	#s(approx (* x (exp (* y y))) (+.f64 (.f64 (.f64 y y) x) x))
accuracy	0	(*.f64 y x)
accuracy	0.05859375	(fma.f64 (*.f64 y x) y x)
accuracy	15.66534724195562	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
accuracy	0	(*.f64 y y)
accuracy	6.494170993919216	(.f64 (.f64 y y) x)
accuracy	15.66534724195562	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x)))
accuracy	33.172147122590744	#s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x))
accuracy	0	(fma.f64 y x x)
accuracy	22.554882395027242	#s(approx (* x (exp y)) (fma.f64 y x x))
accuracy	0.00390625	(exp.f64 y)
accuracy	0.006191259768442017	(pow.f64 (pow.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) y))
accuracy	0.0078125	(.f64 x #s(approx (exp ( y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) y))))
accuracy	0.24161005172700312	(pow.f64 (exp.f64 y) #s(literal 1/2 binary64))

Samples

327.0ms

256×

valid

Compiler

Compiled 270 to 48 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 11.0ms (44.7% of total)

ival-pow: 5.0ms (20.3% of total)

ival-exp: 4.0ms (16.3% of total)

ival-add: 3.0ms (12.2% of total)

ival-sqrt: 2.0ms (8.1% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.1%)

Memory

-9.7MiB live, 27.0MiB allocated

Counts

16 → 33

Calls

Call 1

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

Outputs
(* x (exp (pow y 2)))
(* x (exp y))
(* x (+ 1 y))
(* x (+ 1 (pow y 2)))
(* x (pow y 2))
(* x y)
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
1
(+ 1 (* 1/2 y))
(+ 1 (* y (+ 1/2 (* 1/8 y))))
(+ 1 (* y (+ 1/2 (* y (+ 1/8 (* 1/48 y))))))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(+ x (* x y))
(+ x (* y (+ x (* 1/2 (* x y)))))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(pow y 2)
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(sqrt (exp y))
(exp (pow y 2))
(exp (* 2 (* y (log (sqrt (exp y))))))
(* y (+ x (/ x y)))
(* (pow y 2) (+ x (/ x (pow y 2))))
(exp y)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((pow (exp y) 1/2) (* x (exp (* y y))) (exp (* y y)) (pow (pow (exp y) 1/2) (* 2 y)) (* x (exp y)) (+ (* y x) x) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x) (+ (* (* y y) x) x) (* x (exp (* y y))) (exp y))
2.0ms	y	@	-inf	((pow (exp y) 1/2) (* x (exp (* y y))) (exp (* y y)) (pow (pow (exp y) 1/2) (* 2 y)) (* x (exp y)) (+ (* y x) x) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x) (+ (* (* y y) x) x) (* x (exp (* y y))) (exp y))
2.0ms	x	@	-inf	((pow (exp y) 1/2) (* x (exp (* y y))) (exp (* y y)) (pow (pow (exp y) 1/2) (* 2 y)) (* x (exp y)) (+ (* y x) x) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x) (+ (* (* y y) x) x) (* x (exp (* y y))) (exp y))
2.0ms	y	@	inf	((pow (exp y) 1/2) (* x (exp (* y y))) (exp (* y y)) (pow (pow (exp y) 1/2) (* 2 y)) (* x (exp y)) (+ (* y x) x) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x) (+ (* (* y y) x) x) (* x (exp (* y y))) (exp y))
1.0ms	y	@	0	((pow (exp y) 1/2) (* x (exp (* y y))) (exp (* y y)) (pow (pow (exp y) 1/2) (* 2 y)) (* x (exp y)) (+ (* y x) x) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x) (+ (* (* y y) x) x) (* x (exp (* y y))) (exp y))

simplify170.0ms (0.8%)

Memory

13.2MiB live, 199.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	244
1	303	244
2	744	236
3	1809	234
4	3844	234
5	6278	234
0	8190	198

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 32

Calls

Call 1

Inputs
(* x (exp (pow y 2)))
(* x (exp y))
(* x (+ 1 y))
(* x (+ 1 (pow y 2)))
(* x (pow y 2))
(* x y)
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
1
(+ 1 (* 1/2 y))
(+ 1 (* y (+ 1/2 (* 1/8 y))))
(+ 1 (* y (+ 1/2 (* y (+ 1/8 (* 1/48 y))))))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(+ x (* x y))
(+ x (* y (+ x (* 1/2 (* x y)))))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(pow y 2)
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(sqrt (exp y))
(exp (pow y 2))
(exp (* 2 (* y (log (sqrt (exp y))))))
(* y (+ x (/ x y)))
(* (pow y 2) (+ x (/ x (pow y 2))))
(exp y)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))

Outputs
(* x (exp (pow y 2)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (+ 1 y))
(fma.f64 x y x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x y)
(*.f64 x y)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 x y x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 y))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
(+ 1 (* y (+ 1/2 (* 1/8 y))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1/2 (* y (+ 1/8 (* 1/48 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) y #s(literal 1/8 binary64)) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64)))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64))))
(+ x (* x y))
(fma.f64 x y x)
(+ x (* y (+ x (* 1/2 (* x y)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) x) y x)
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(*.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(pow y 2)
(*.f64 y y)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 (* y (+ 1 (* 1/2 y))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(sqrt (exp y))
(sqrt.f64 (exp.f64 y))
(exp (pow y 2))
(pow.f64 (exp.f64 y) y)
(exp (* 2 (* y (log (sqrt (exp y))))))
(pow.f64 (exp.f64 y) y)
(* y (+ x (/ x y)))
(fma.f64 x y x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(exp y)
(exp.f64 y)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 x y x)

rewrite235.0ms (1.1%)

Memory

-2.6MiB live, 290.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	139
0	41	131
1	115	128
2	481	122
3	3693	122
0	9541	122

Stop Event

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

Counts

16 → 496

Calls

Call 1

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

Outputs
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 3/4 binary64))) (pow.f64 (exp.f64 y) #s(literal 1/8 binary64)))
(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) y))) (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) y))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3/8 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 y) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 y) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (exp.f64 y) #s(literal 3/8 binary64)) (pow.f64 (exp.f64 y) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (exp.f64 y) #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (exp.f64 y) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3/8 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 y) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 y) #s(literal 1/8 binary64)) (pow.f64 (exp.f64 y) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)) (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) y))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) y))
(pow.f64 (E.f64) (*.f64 #s(literal 1/2 binary64) y))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) y))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) y)
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (exp.f64 y)) #s(literal 1 binary64))
(pow.f64 (exp.f64 y) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -2 binary64))))
(sqrt.f64 (exp.f64 y))
(fabs.f64 (sqrt.f64 (exp.f64 y)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) y))
(exp.f64 (*.f64 #s(literal 1/2 binary64) y))
(.f64 #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)) x)
(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
#s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))
(*.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3/4 binary64)) y) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)) y))
(*.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)) y) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3/4 binary64)) y))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) y) (pow.f64 (sqrt.f64 (exp.f64 y)) y))
(pow.f64 (exp.f64 (.f64 (.f64 #s(literal 2 binary64) y) y)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (exp.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal -2 binary64) y)) #s(literal -1/2 binary64))
(pow.f64 (E.f64) (*.f64 y y))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) y) y))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 y (.f64 #s(literal 2 binary64) y)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) y))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) y))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 binary64))
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(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) x))) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 y y) x) x))) #s(literal 2 binary64))) (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) x)) (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 y y) x) x)))))
(/.f64 (-.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 (.f64 y y) x) x) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 (.f64 y y) x) x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 y y) x) x))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) x))) (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 y y) x) x)))))))
(/.f64 (neg.f64 (.f64 x (-.f64 x (.f64 (pow.f64 y #s(literal 4 binary64)) x)))) (neg.f64 (-.f64 x (.f64 (.f64 y y) x))))
(/.f64 (neg.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (neg.f64 x))))) (neg.f64 (neg.f64 (-.f64 (.f64 (*.f64 y y) x) x))))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (.f64 y y) x)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x)) (-.f64 (.f64 (*.f64 y y) x) x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 4 binary64)))) (-.f64 (.f64 (*.f64 y y) x) x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (*.f64 y y) x))))))
(/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 6 binary64)))) (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (.f64 y y) x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y y) x) x)) (.f64 (-.f64 (.f64 (.f64 y y) x) x) (.f64 x x))) (pow.f64 (-.f64 (.f64 (*.f64 y y) x) x) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (-.f64 (.f64 (.f64 y y) x) x) (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x))))
(/.f64 (.f64 x (-.f64 x (.f64 (pow.f64 y #s(literal 4 binary64)) x))) (-.f64 x (.f64 (.f64 y y) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (-.f64 (.f64 (.f64 y y) x) x) (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (.f64 y y) x)))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (.f64 y y) x)))) (fma.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 6 binary64))))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (neg.f64 x)))) (neg.f64 (-.f64 (.f64 (*.f64 y y) x) x)))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (.f64 y y) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (.f64 y y) x)) (.f64 x (-.f64 x (.f64 (pow.f64 y #s(literal 4 binary64)) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1 binary64)))
(/.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (neg.f64 x))) (-.f64 (.f64 (*.f64 y y) x) x))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (.f64 y y) x)))))
(neg.f64 (/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (neg.f64 x)))) (-.f64 (.f64 (*.f64 y y) x) x)))
(neg.f64 (/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (.f64 y y) x))))))
(neg.f64 (/.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (neg.f64 x))) (neg.f64 (-.f64 (.f64 (*.f64 y y) x) x))))
(neg.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (.f64 y y) x)))))))
(fma.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (fma.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 y y) x) x)))))
(fma.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (neg.f64 x)))) (fma.f64 (.f64 x y) y x) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 y y) x) x)))))
(fma.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) (/.f64 (.f64 x y) (-.f64 (.f64 (.f64 y y) x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 y y) x) x)))))
(fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 y y) x) x)))))
(fma.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) y) (/.f64 y (-.f64 (.f64 (.f64 y y) x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 y y) x) x)))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x (/.f64 x (-.f64 (.f64 (.f64 y y) x) x))) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 y y) x) x)))))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 y y) x))
(fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 y y) x) x)))))
(fma.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 (.f64 y y) x) x) #s(literal -1 binary64)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 y y) x) x)))))
(fma.f64 (.f64 x x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 (.f64 y y) x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 y y) x) x)))))
(fma.f64 (.f64 x y) (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) (-.f64 (.f64 (.f64 y y) x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 y y) x) x)))))
(fma.f64 (.f64 x y) y (.f64 #s(literal 1 binary64) x))
(fma.f64 (.f64 x y) y (.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 x y) y x)
(fma.f64 (.f64 (.f64 y y) x) (/.f64 (.f64 (.f64 y y) x) (-.f64 (.f64 (.f64 y y) x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 y y) x) x)))))
(fma.f64 (.f64 y y) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y y) x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 y y) x) x)))))
(fma.f64 (.f64 y y) x (.f64 #s(literal 1 binary64) x))
(fma.f64 (.f64 y y) x (.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) x x)
(fma.f64 x (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (-.f64 (.f64 (.f64 y y) x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 y y) x) x)))))
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 y y) x))
(fma.f64 x (.f64 y y) (.f64 #s(literal 1 binary64) x))
(fma.f64 x (.f64 y y) (.f64 x #s(literal 1 binary64)))
(fma.f64 x (*.f64 y y) x)
(fma.f64 y (/.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) y) (-.f64 (.f64 (.f64 y y) x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 y y) x) x)))))
(fma.f64 y (.f64 x y) (.f64 #s(literal 1 binary64) x))
(fma.f64 y (.f64 x y) (.f64 x #s(literal 1 binary64)))
(fma.f64 y (*.f64 x 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 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) x))) (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 y y) x) x))))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (.f64 x y) y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (*.f64 y y) x))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 (*.f64 y y) x))
(+.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) x))) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 y y) x) x)))))
(+.f64 (.f64 (.f64 y y) x) (*.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 (.f64 y y) x) (*.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 y y) x) x)
(+.f64 x (.f64 (.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x))
(*.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (exp.f64 y) #s(literal 3/4 binary64)) (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)) (pow.f64 (exp.f64 y) #s(literal 3/4 binary64)))
(*.f64 (sqrt.f64 (exp.f64 y)) (sqrt.f64 (exp.f64 y)))
(pow.f64 (exp.f64 (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) y)
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (pow.f64 (E.f64) (*.f64 #s(literal -2 binary64) y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (E.f64) #s(literal 1 binary64)) y)
(pow.f64 (pow.f64 (E.f64) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(pow.f64 (pow.f64 (E.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) y))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) y))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) y))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) y)
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) y))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) y))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) y)
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal 2 binary64) y)))
(pow.f64 (E.f64) y)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) y))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 1/8 binary64)) #s(literal 8 binary64))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 (exp.f64 y)) #s(literal 2 binary64))
(pow.f64 (exp.f64 y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -2 binary64))))
(sqrt.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) y))))
(sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)))
(fabs.f64 (exp.f64 y))
(exp.f64 (*.f64 (log.f64 (E.f64)) y))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) y)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 4 binary64)))
(exp.f64 y)

eval76.0ms (0.4%)

Memory: 4.9MiB live, 163.7MiB allocated
Compiler: Compiled 11 541 to 1 821 computations (84.2% saved)

prune16.0ms (0.1%)

Memory

-31.4MiB live, 45.5MiB allocated

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	482	4	486
Fresh	0	2	2
Picked	1	4	5
Done	0	5	5
Total	483	15	498

Accuracy

100.0%

Counts

498 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	97.9%	(*.f64 x (exp.f64 y))
▶	100.0%	(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 2 binary64) y))))
✓	100.0%	(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
	98.9%	(.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)))
✓	54.4%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
▶	85.9%	(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
✓	81.0%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
✓	75.5%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
✓	81.0%	#s(approx (* x (exp (* y y))) (+.f64 (.f64 (.f64 y y) x) x))
✓	30.8%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x)))
▶	25.4%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 x y) y)))
✓	64.2%	#s(approx (* x (exp y)) (fma.f64 y x x))
▶	51.1%	#s(approx (* x (exp y)) (/.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) (-.f64 x (.f64 x y))))
▶	64.2%	#s(approx (* x (exp y)) (+.f64 (*.f64 x y) x))

Compiler

Compiled 288 to 194 computations (32.6% saved)

simplify174.0ms (0.8%)

Memory

10.1MiB live, 129.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x (.f64 (.f64 y y) x))
cost-diff	0	(.f64 (-.f64 x (.f64 (*.f64 y y) x)) x)
cost-diff	0	#s(approx (* x (exp y)) (/.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) (-.f64 x (.f64 x y))))
cost-diff	1984	(/.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) (-.f64 x (.f64 x y)))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
cost-diff	0	#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
cost-diff	0	(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) y)
cost-diff	0	#s(approx (+ (* (* y y) x) x) (.f64 (.f64 x y) y))
cost-diff	0	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 x y) y)))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (* x (exp y)) (+.f64 (*.f64 x y) x))
cost-diff	128	(+.f64 (*.f64 x y) x)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 2 binary64) y))
cost-diff	0	#s(approx (exp (* y y)) (pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 2 binary64) y)))
cost-diff	0	(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 2 binary64) y))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	236
0	59	216
1	98	216
2	155	212
3	284	212
4	650	212
5	1779	212
6	4480	212
0	8499	206

Stop Event

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

Calls

Call 1

Inputs
(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 2 binary64) y))))
x
#s(approx (exp (* y y)) (pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 2 binary64) y)))
(pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 2 binary64) y))
(exp.f64 (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
#s(approx (* x (exp y)) (+.f64 (*.f64 x y) x))
(+.f64 (*.f64 x y) x)
(*.f64 x y)
x
y
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 x y) y)))
#s(approx (+ (* (* y y) x) x) (.f64 (.f64 x y) y))
(.f64 (.f64 x y) y)
(*.f64 x y)
x
y
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
x
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* x (exp y)) (/.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) (-.f64 x (.f64 x y))))
(/.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) (-.f64 x (.f64 x y)))
(.f64 (-.f64 x (.f64 (*.f64 y y) x)) x)
(-.f64 x (.f64 (.f64 y y) x))
x
(.f64 (.f64 y y) x)
(*.f64 y y)
y
(-.f64 x (*.f64 x y))
(*.f64 x y)

Outputs
(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 2 binary64) y))))
(.f64 #s(approx (exp ( y y)) (pow.f64 (sqrt.f64 (exp.f64 y)) (*.f64 #s(literal 2 binary64) y))) x)
x
#s(approx (exp (* y y)) (pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 2 binary64) y)))
#s(approx (exp (* y y)) (pow.f64 (sqrt.f64 (exp.f64 y)) (*.f64 #s(literal 2 binary64) y)))
(pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 2 binary64) y))
(pow.f64 (sqrt.f64 (exp.f64 y)) (*.f64 #s(literal 2 binary64) y))
(exp.f64 (*.f64 #s(literal 1/2 binary64) y))
(sqrt.f64 (exp.f64 y))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
#s(approx (* x (exp y)) (+.f64 (*.f64 x y) x))
#s(approx (* x (exp y)) (fma.f64 y x x))
(+.f64 (*.f64 x y) x)
(fma.f64 y x x)
(*.f64 x y)
(*.f64 y x)
x
y
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 x y) y)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x)))
#s(approx (+ (* (* y y) x) x) (.f64 (.f64 x y) y))
#s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x))
(.f64 (.f64 x y) y)
(.f64 (.f64 y y) x)
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
x
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* x (exp y)) (/.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) (-.f64 x (.f64 x y))))
#s(approx (* x (exp y)) (fma.f64 y x x))
(/.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) (-.f64 x (.f64 x y)))
(fma.f64 y x x)
(.f64 (-.f64 x (.f64 (*.f64 y y) x)) x)
(-.f64 x (.f64 (.f64 y y) x))
x
(.f64 (.f64 y y) x)
(*.f64 y y)
y
(-.f64 x (*.f64 x y))
(-.f64 x (*.f64 y x))
(*.f64 x y)
(*.f64 y x)

localize207.0ms (1%)

Memory

16.1MiB live, 135.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	2.18764797942898	(.f64 (-.f64 x (.f64 (*.f64 y y) x)) x)
accuracy	6.494170993919216	(.f64 (.f64 y y) x)
accuracy	22.554882395027242	#s(approx (* x (exp y)) (/.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) (-.f64 x (.f64 x y))))
accuracy	27.321432359525392	(/.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) (-.f64 x (.f64 x y)))
accuracy	0.02734375	(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
accuracy	0.03515625	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
accuracy	0.12890625	(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy	10.094804177178377	#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy	0	(*.f64 x y)
accuracy	0.12109375	(.f64 (.f64 x y) y)
accuracy	15.66534724195562	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 x y) y)))
accuracy	33.172147122590744	#s(approx (+ (* (* y y) x) x) (.f64 (.f64 x y) y))
accuracy	0	(*.f64 x y)
accuracy	0.015625	(+.f64 (*.f64 x y) x)
accuracy	22.554882395027242	#s(approx (* x (exp y)) (+.f64 (*.f64 x y) x))
accuracy	0	(exp.f64 (*.f64 #s(literal 1/2 binary64) y))
accuracy	0	#s(approx (exp (* y y)) (pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 2 binary64) y)))
accuracy	0.006191259768442017	(pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 2 binary64) y))
accuracy	0.0078125	(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 2 binary64) y))))

Samples

186.0ms

256×

valid

Compiler

Compiled 398 to 69 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-mult: 66.0ms (54.9% of total)

ival-div: 17.0ms (14.1% of total)

ival-sub: 17.0ms (14.1% of total)

ival-exp: 6.0ms (5% of total)

ival-add: 5.0ms (4.2% of total)

ival-pow: 5.0ms (4.2% of total)

const: 4.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series46.0ms (0.2%)

Memory

-8.8MiB live, 29.0MiB allocated

Counts

21 → 59

Calls

Call 1

Inputs
(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 2 binary64) y))))
#s(approx (exp (* y y)) (pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 2 binary64) y)))
(pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
(+.f64 (*.f64 x y) x)
#s(approx (* x (exp y)) (+.f64 (*.f64 x y) x))
(*.f64 x y)
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 x y) y)))
#s(approx (+ (* (* y y) x) x) (.f64 (.f64 x y) y))
(.f64 (.f64 x y) y)
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) (-.f64 x (.f64 x y)))
#s(approx (* x (exp y)) (/.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) (-.f64 x (.f64 x y))))
(.f64 (-.f64 x (.f64 (*.f64 y y) x)) x)
(-.f64 x (.f64 (.f64 y y) x))
(exp.f64 (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(.f64 (.f64 y y) x)

Outputs
(* x (exp (pow y 2)))
(* x (+ 1 y))
(* x (exp y))
(* x y)
(* x (+ 1 (pow y 2)))
(* x (pow y 2))
(/ (* x (- 1 (pow y 2))) (- 1 y))
(* (pow x 2) (- 1 (pow y 2)))
(* x (- 1 (pow y 2)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(/ (* x (+ 1 (* -1 (pow y 2)))) (+ 1 (* -1 y)))
(* (pow x 2) (+ 1 (* -1 (pow y 2))))
(* x (+ 1 (* -1 (pow y 2))))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(* 1/2 y)
(+ x (* x y))
(+ x (* y (+ x (* 1/2 (* x y)))))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(+ 1 (* 1/2 y))
(+ 1 (* y (+ 1/2 (* 1/6 y))))
(pow x 2)
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))
(+ x (* -1 (* x (pow y 2))))
(+ 1 (* y (+ 1/2 (* 1/8 y))))
(+ 1 (* y (+ 1/2 (* y (+ 1/8 (* 1/48 y))))))
1/2
(+ 1/2 (* 1/6 y))
(exp (pow y 2))
(* y (+ x (/ x y)))
(* (pow y 2) (+ x (/ x (pow y 2))))
(exp y)
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (- (/ x (pow y 2)) x))
(exp (* 1/2 y))
(* 1/6 y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6)))

Calls

6 calls:

Time	Variable		Point	Expression
32.0ms	x	@	-inf	((* x (exp (* y y))) (exp (* y y)) (pow (exp (* 1/2 y)) (* 2 y)) (* 1/2 y) (+ (* x y) x) (* x (exp y)) (* x y) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* x y) y) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (/ (* (- x (* (* y y) x)) x) (- x (* x y))) (* x (exp y)) (* (- x (* (* y y) x)) x) (- x (* (* y y) x)) (exp (* 1/2 y)) (+ (* 1/6 y) 1/2) (* (* y y) x))
4.0ms	y	@	0	((* x (exp (* y y))) (exp (* y y)) (pow (exp (* 1/2 y)) (* 2 y)) (* 1/2 y) (+ (* x y) x) (* x (exp y)) (* x y) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* x y) y) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (/ (* (- x (* (* y y) x)) x) (- x (* x y))) (* x (exp y)) (* (- x (* (* y y) x)) x) (- x (* (* y y) x)) (exp (* 1/2 y)) (+ (* 1/6 y) 1/2) (* (* y y) x))
2.0ms	y	@	-inf	((* x (exp (* y y))) (exp (* y y)) (pow (exp (* 1/2 y)) (* 2 y)) (* 1/2 y) (+ (* x y) x) (* x (exp y)) (* x y) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* x y) y) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (/ (* (- x (* (* y y) x)) x) (- x (* x y))) (* x (exp y)) (* (- x (* (* y y) x)) x) (- x (* (* y y) x)) (exp (* 1/2 y)) (+ (* 1/6 y) 1/2) (* (* y y) x))
2.0ms	y	@	inf	((* x (exp (* y y))) (exp (* y y)) (pow (exp (* 1/2 y)) (* 2 y)) (* 1/2 y) (+ (* x y) x) (* x (exp y)) (* x y) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* x y) y) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (/ (* (- x (* (* y y) x)) x) (- x (* x y))) (* x (exp y)) (* (- x (* (* y y) x)) x) (- x (* (* y y) x)) (exp (* 1/2 y)) (+ (* 1/6 y) 1/2) (* (* y y) x))
2.0ms	x	@	inf	((* x (exp (* y y))) (exp (* y y)) (pow (exp (* 1/2 y)) (* 2 y)) (* 1/2 y) (+ (* x y) x) (* x (exp y)) (* x y) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* x y) y) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (/ (* (- x (* (* y y) x)) x) (- x (* x y))) (* x (exp y)) (* (- x (* (* y y) x)) x) (- x (* (* y y) x)) (exp (* 1/2 y)) (+ (* 1/6 y) 1/2) (* (* y y) x))

simplify254.0ms (1.2%)

Memory

-12.7MiB live, 184.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	460
1	472	460
2	1202	441
3	3407	439
4	7228	439
0	8128	385

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 58

Calls

Call 1

Inputs
(* x (exp (pow y 2)))
(* x (+ 1 y))
(* x (exp y))
(* x y)
(* x (+ 1 (pow y 2)))
(* x (pow y 2))
(/ (* x (- 1 (pow y 2))) (- 1 y))
(* (pow x 2) (- 1 (pow y 2)))
(* x (- 1 (pow y 2)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(/ (* x (+ 1 (* -1 (pow y 2)))) (+ 1 (* -1 y)))
(* (pow x 2) (+ 1 (* -1 (pow y 2))))
(* x (+ 1 (* -1 (pow y 2))))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(* 1/2 y)
(+ x (* x y))
(+ x (* y (+ x (* 1/2 (* x y)))))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(+ 1 (* 1/2 y))
(+ 1 (* y (+ 1/2 (* 1/6 y))))
(pow x 2)
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))
(+ x (* -1 (* x (pow y 2))))
(+ 1 (* y (+ 1/2 (* 1/8 y))))
(+ 1 (* y (+ 1/2 (* y (+ 1/8 (* 1/48 y))))))
1/2
(+ 1/2 (* 1/6 y))
(exp (pow y 2))
(* y (+ x (/ x y)))
(* (pow y 2) (+ x (/ x (pow y 2))))
(exp y)
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (- (/ x (pow y 2)) x))
(exp (* 1/2 y))
(* 1/6 y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6)))

Outputs
(* x (exp (pow y 2)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x y)
(*.f64 y x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (pow y 2))
(.f64 (.f64 y x) y)
(/ (* x (- 1 (pow y 2))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))
(* (pow x 2) (- 1 (pow y 2)))
(.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) x)
(* x (- 1 (pow y 2)))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(/ (* x (+ 1 (* -1 (pow y 2)))) (+ 1 (* -1 y)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* -1 (pow y 2))))
(.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) x)
(* x (+ 1 (* -1 (pow y 2))))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x)
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(fma.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y)) y x)
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(+ x (* x y))
(fma.f64 y x x)
(+ x (* y (+ x (* 1/2 (* x y)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x x) y x)
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 (* y (+ 1 (* 1/2 y))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* 1/2 y))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
(+ 1 (* y (+ 1/2 (* 1/6 y))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))
(.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) x)
(+ x (* -1 (* x (pow y 2))))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x)
(+ 1 (* y (+ 1/2 (* 1/8 y))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1/2 (* y (+ 1/8 (* 1/48 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) y #s(literal 1/8 binary64)) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 y))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(exp (pow y 2))
(pow.f64 (exp.f64 y) y)
(* y (+ x (/ x y)))
(fma.f64 y x x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(exp y)
(exp.f64 y)
(* 1/6 (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(* 1/6 (pow y 2))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(* -1 (* (pow x 2) (pow y 2)))
(.f64 (.f64 (*.f64 x x) y) (neg.f64 y))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2))))
(.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) x)
(* -1 (* x (pow y 2)))
(.f64 (.f64 (neg.f64 y) y) x)
(* (pow y 2) (- (/ x (pow y 2)) x))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x)
(exp (* 1/2 y))
(sqrt.f64 (exp.f64 y))
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 y x x)
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))

rewrite293.0ms (1.4%)

Memory

13.3MiB live, 219.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	204
0	59	184
1	191	184
2	1208	171
0	8564	165

Stop Event

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

Counts

21 → 639

Calls

Call 1

Inputs
(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 2 binary64) y))))
#s(approx (exp (* y y)) (pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 2 binary64) y)))
(pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
(+.f64 (*.f64 x y) x)
#s(approx (* x (exp y)) (+.f64 (*.f64 x y) x))
(*.f64 x y)
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 x y) y)))
#s(approx (+ (* (* y y) x) x) (.f64 (.f64 x y) y))
(.f64 (.f64 x y) y)
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) (-.f64 x (.f64 x y)))
#s(approx (* x (exp y)) (/.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) (-.f64 x (.f64 x y))))
(.f64 (-.f64 x (.f64 (*.f64 y y) x)) x)
(-.f64 x (.f64 (.f64 y y) x))
(exp.f64 (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(.f64 (.f64 y y) x)

Outputs
(.f64 #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)) x)
(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
#s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 y (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) (/.f64 (+.f64 y y) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (exp.f64 y)) (/.f64 (+.f64 y y) #s(literal 2 binary64))))
(.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) y)) (+.f64 y y)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) y)) (+.f64 y y)))
(.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 2 binary64) y)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal 2 binary64) y)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) y) (pow.f64 (sqrt.f64 (exp.f64 y)) y))
(pow.f64 (exp.f64 (.f64 #s(literal 2 binary64) y)) (.f64 #s(literal 1/2 binary64) y))
(pow.f64 (.f64 (exp.f64 y) (exp.f64 y)) (.f64 #s(literal 1/2 binary64) y))
(pow.f64 (.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (.f64 y y))
(pow.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) y) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (.f64 y y)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 y y (*.f64 y y)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (.f64 y y) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) y))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 y (+.f64 y y)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 y (.f64 #s(literal 2 binary64) y)))
(pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) (+.f64 y y)))
(pow.f64 (exp.f64 y) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) y)))
(pow.f64 (exp.f64 y) y)
(pow.f64 (pow.f64 (exp.f64 y) y) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (exp.f64 y)) (+.f64 y y))
(pow.f64 (sqrt.f64 (exp.f64 y)) (*.f64 #s(literal 2 binary64) y))
(exp.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) y (.f64 (*.f64 #s(literal 1/2 binary64) y) y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) y)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (+.f64 y y)))
(exp.f64 (*.f64 y y))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
(/.f64 (neg.f64 y) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(/.f64 y #s(literal 2 binary64))
(+.f64 (log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) y))) (log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) y))))
(log.f64 (sqrt.f64 (exp.f64 y)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (-.f64 x (.f64 (.f64 y y) x)) x))) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) (/.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) (pow.f64 (fma.f64 x (-.f64 x (.f64 y x)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 x (-.f64 x (*.f64 y x))))
(.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (-.f64 x (.f64 (.f64 y y) x)) (-.f64 x (.f64 y x))))
(.f64 (/.f64 (-.f64 x (.f64 (.f64 y y) x)) (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (-.f64 x (.f64 (.f64 y y) x)) x))) (/.f64 x (-.f64 (.f64 y x) x)))
(.f64 (/.f64 (-.f64 x (.f64 (.f64 y y) x)) (/.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) (/.f64 x (fma.f64 x (-.f64 x (.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(.f64 (/.f64 (-.f64 x (.f64 (.f64 y y) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 y x x) (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (-.f64 x (.f64 (.f64 y y) x)) x))) (/.f64 (-.f64 x (.f64 y x)) (-.f64 (*.f64 y x) x)))
(.f64 (/.f64 (fma.f64 y x x) (/.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) (/.f64 (-.f64 x (.f64 y x)) (fma.f64 x (-.f64 x (.f64 y x)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(.f64 (/.f64 (fma.f64 y x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (/.f64 (-.f64 x (.f64 y x)) (pow.f64 (fma.f64 (.f64 y x) (fma.f64 y x x) (*.f64 x x)) #s(literal -1 binary64))))
(.f64 (/.f64 x (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (-.f64 x (.f64 (.f64 y y) x)) x))) (/.f64 (-.f64 x (.f64 (.f64 y y) x)) (-.f64 (.f64 y x) x)))
(.f64 (/.f64 x (/.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) (/.f64 (-.f64 x (.f64 (.f64 y y) x)) (fma.f64 x (-.f64 x (.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(.f64 (/.f64 (-.f64 x (.f64 (.f64 y y) x)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (-.f64 x (.f64 y x))))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (neg.f64 x)) (-.f64 x (*.f64 y x))))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))) x) (/.f64 (/.f64 x (-.f64 x (*.f64 y x))) (fma.f64 y y #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 x (.f64 (.f64 y y) x)) (.f64 (-.f64 x (.f64 (.f64 y y) x)) x)) (/.f64 x (pow.f64 (fma.f64 y x x) #s(literal -1 binary64))))
(.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (/.f64 (-.f64 x (.f64 (.f64 y y) x)) (pow.f64 (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x x) (.f64 (neg.f64 x) x))) (/.f64 (/.f64 x (-.f64 x (.f64 y x))) (pow.f64 (-.f64 (.f64 (*.f64 y y) x) x) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 x (-.f64 x (.f64 y x))) (pow.f64 (fma.f64 (-.f64 x (.f64 (.f64 y y) x)) x (pow.f64 (.f64 (*.f64 y y) x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 y x) (fma.f64 y x x) (*.f64 x x)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (fma.f64 (.f64 y x) (fma.f64 y x x) (*.f64 x x)))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))) (fma.f64 y y #s(literal 1 binary64))) (/.f64 (/.f64 x (-.f64 x (*.f64 y x))) x))
(.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))) (/.f64 x (-.f64 x (.f64 y x)))) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64))) (/.f64 x (-.f64 x (.f64 y x)))) (pow.f64 (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (.f64 y x) y x) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (+.f64 y #s(literal 1 binary64)) x)
(.f64 (/.f64 x (.f64 (-.f64 x (.f64 (.f64 y y) x)) x)) (/.f64 (-.f64 x (.f64 (.f64 y y) x)) (pow.f64 (fma.f64 y x x) #s(literal -1 binary64))))
(.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (.f64 y x)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))
(.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))) x) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y x) y x) (-.f64 x (.f64 y x)))))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (.f64 y x) y x) (.f64 x x)) (-.f64 x (.f64 y x)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 y x x)))
(.f64 (/.f64 x (-.f64 x (.f64 y x))) (-.f64 x (.f64 (.f64 y y) x)))
(.f64 (pow.f64 (-.f64 x (.f64 y x)) #s(literal -1 binary64)) (/.f64 (-.f64 x (*.f64 y x)) (pow.f64 (fma.f64 y x x) #s(literal -1 binary64))))
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(.f64 (pow.f64 (-.f64 x (.f64 y x)) #s(literal -1 binary64)) (.f64 (-.f64 x (.f64 (*.f64 y y) x)) x))
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(.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))))))
(.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 y y) (*.f64 y #s(literal -1/12 binary64))))))
(.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) (.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))))) (+.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 y y)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) (-.f64 #s(literal 1/4 binary64) (.f64 y #s(literal 1/12 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 y y))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 y y) (.f64 y #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) (-.f64 #s(literal 1/4 binary64) (.f64 y #s(literal 1/12 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 y y) (.f64 y #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 y y) (-.f64 #s(literal 1/4 binary64) (.f64 y #s(literal 1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) y)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 y y) (.f64 y #s(literal -1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (.f64 y y) (-.f64 #s(literal 1/4 binary64) (.f64 y #s(literal 1/12 binary64))))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) (-.f64 #s(literal 1/4 binary64) (.f64 y #s(literal 1/12 binary64)))))))
(fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) y))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) y))))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))
(.f64 (.f64 y y) x)
(.f64 (.f64 y x) y)
(.f64 y (.f64 y x))
(.f64 x (.f64 y y))

eval87.0ms (0.4%)

Memory: -3.1MiB live, 154.2MiB allocated
Compiler: Compiled 16 705 to 2 318 computations (86.1% saved)

prune37.0ms (0.2%)

Memory

22.7MiB live, 60.7MiB allocated

Pruning

25 alts after pruning (12 fresh and 13 done)

	Pruned	Kept	Total
New	555	11	566
Fresh	0	1	1
Picked	1	4	5
Done	0	9	9
Total	556	25	581

Accuracy

100.0%

Counts

581 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	97.9%	(*.f64 x (exp.f64 y))
✓	100.0%	(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 2 binary64) y))))
✓	100.0%	(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
	98.9%	(.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)))
✓	54.4%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
✓	85.9%	(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
	85.9%	(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
	61.3%	(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
	85.9%	(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
	85.9%	(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
	85.9%	(*.f64 x #s(approx (exp y) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)))) y #s(literal 1 binary64))))
	85.9%	(*.f64 x #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))))
	37.0%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
	36.4%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))))
✓	81.0%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
✓	75.5%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
	87.9%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y)) y x))
✓	81.0%	#s(approx (* x (exp (* y y))) (+.f64 (.f64 (.f64 y y) x) x))
✓	30.8%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x)))
✓	25.4%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 x y) y)))
	82.6%	#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
✓	64.2%	#s(approx (* x (exp y)) (fma.f64 y x x))
	22.1%	#s(approx (* x (exp y)) (/.f64 (.f64 #s(approx (- x ( (* y y) x)) (.f64 (.f64 (neg.f64 y) y) x)) x) (-.f64 x (*.f64 x y))))
✓	64.2%	#s(approx (* x (exp y)) (+.f64 (*.f64 x y) x))

Compiler

Compiled 901 to 439 computations (51.3% saved)

regimes79.0ms (0.4%)

Memory

-15.0MiB live, 60.6MiB allocated

Counts

27 → 1

Calls

Call 1

Inputs
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
#s(approx (* x (exp y)) (+.f64 (*.f64 x y) x))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 x y) y)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
#s(approx (* x (exp (* y y))) (+.f64 (.f64 (.f64 y y) x) x))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (/.f64 (.f64 #s(approx (- x ( (* y y) x)) (.f64 (.f64 (neg.f64 y) y) x)) x) (-.f64 x (*.f64 x y))))
#s(approx (* x (exp y)) (/.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) (-.f64 x (.f64 x y))))
(*.f64 x #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))))
(*.f64 x #s(approx (exp y) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)))) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x (exp.f64 y))
(.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)))
(.f64 x (exp.f64 (.f64 y y)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y)) y x))
(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 2 binary64) y))))
(.f64 x #s(approx (exp ( y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) y))))

Outputs
(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 2 binary64) y))))

Calls

5 calls:

41.0ms	(*.f64 y y)
16.0ms	x
8.0ms	y
7.0ms	(.f64 x (exp.f64 (.f64 y y)))
6.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(.f64 x (exp.f64 (.f64 y y)))`
100.0%	1	`(exp.f64 (*.f64 y y))`
100.0%	1	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes43.0ms (0.2%)

Memory

-12.5MiB live, 69.1MiB allocated

Counts

25 → 1

Calls

Call 1

Inputs
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
#s(approx (* x (exp y)) (+.f64 (*.f64 x y) x))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 x y) y)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
#s(approx (* x (exp (* y y))) (+.f64 (.f64 (.f64 y y) x) x))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (/.f64 (.f64 #s(approx (- x ( (* y y) x)) (.f64 (.f64 (neg.f64 y) y) x)) x) (-.f64 x (*.f64 x y))))
#s(approx (* x (exp y)) (/.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) (-.f64 x (.f64 x y))))
(*.f64 x #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))))
(*.f64 x #s(approx (exp y) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)))) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x (exp.f64 y))
(.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)))
(.f64 x (exp.f64 (.f64 y y)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y)) y x))
(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))

Outputs
(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))

Calls

5 calls:

11.0ms	(exp.f64 (*.f64 y y))
10.0ms	x
7.0ms	y
7.0ms	(.f64 x (exp.f64 (.f64 y y)))
6.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(.f64 x (exp.f64 (.f64 y y)))`
100.0%	1	`(exp.f64 (*.f64 y y))`
100.0%	1	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes38.0ms (0.2%)

Memory

2.3MiB live, 77.3MiB allocated

Counts

24 → 1

Calls

Call 1

Inputs
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
#s(approx (* x (exp y)) (+.f64 (*.f64 x y) x))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 x y) y)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
#s(approx (* x (exp (* y y))) (+.f64 (.f64 (.f64 y y) x) x))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (/.f64 (.f64 #s(approx (- x ( (* y y) x)) (.f64 (.f64 (neg.f64 y) y) x)) x) (-.f64 x (*.f64 x y))))
#s(approx (* x (exp y)) (/.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) (-.f64 x (.f64 x y))))
(*.f64 x #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))))
(*.f64 x #s(approx (exp y) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)))) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x (exp.f64 y))
(.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)))
(.f64 x (exp.f64 (.f64 y y)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y)) y x))

Outputs
(.f64 x (exp.f64 (.f64 y y)))

Calls

5 calls:

9.0ms	(.f64 x (exp.f64 (.f64 y y)))
9.0ms	x
7.0ms	y
6.0ms	(*.f64 y y)
5.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(.f64 x (exp.f64 (.f64 y y)))`
100.0%	1	`(exp.f64 (*.f64 y y))`
100.0%	1	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes36.0ms (0.2%)

Memory

3.0MiB live, 89.0MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
#s(approx (* x (exp y)) (+.f64 (*.f64 x y) x))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 x y) y)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
#s(approx (* x (exp (* y y))) (+.f64 (.f64 (.f64 y y) x) x))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (/.f64 (.f64 #s(approx (- x ( (* y y) x)) (.f64 (.f64 (neg.f64 y) y) x)) x) (-.f64 x (*.f64 x y))))
#s(approx (* x (exp y)) (/.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) (-.f64 x (.f64 x y))))
(*.f64 x #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))))
(*.f64 x #s(approx (exp y) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)))) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x (exp.f64 y))
(.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)))

Outputs
(.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)))

Calls

5 calls:

9.0ms	(.f64 x (exp.f64 (.f64 y y)))
9.0ms	x
6.0ms	y
6.0ms	(*.f64 y y)
5.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`y`
98.9%	1	`(.f64 x (exp.f64 (.f64 y y)))`
98.9%	1	`(exp.f64 (*.f64 y y))`
98.9%	1	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes175.0ms (0.8%)

Memory

25.9MiB live, 104.4MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
#s(approx (* x (exp y)) (+.f64 (*.f64 x y) x))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 x y) y)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
#s(approx (* x (exp (* y y))) (+.f64 (.f64 (.f64 y y) x) x))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (/.f64 (.f64 #s(approx (- x ( (* y y) x)) (.f64 (.f64 (neg.f64 y) y) x)) x) (-.f64 x (*.f64 x y))))
#s(approx (* x (exp y)) (/.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) (-.f64 x (.f64 x y))))
(*.f64 x #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))))
(*.f64 x #s(approx (exp y) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)))) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x (exp.f64 y))

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

Calls

5 calls:

130.0ms	(*.f64 y y)
16.0ms	(.f64 x (exp.f64 (.f64 y y)))
12.0ms	y
9.0ms	(exp.f64 (*.f64 y y))
6.0ms	x

Results

Accuracy	Segments	Branch
97.9%	1	`y`
97.9%	1	`(.f64 x (exp.f64 (.f64 y y)))`
97.9%	1	`(exp.f64 (*.f64 y y))`
97.9%	1	`(*.f64 y y)`
97.9%	1	`x`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes47.0ms (0.2%)

Memory

-18.6MiB live, 62.8MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
#s(approx (* x (exp y)) (+.f64 (*.f64 x y) x))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 x y) y)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
#s(approx (* x (exp (* y y))) (+.f64 (.f64 (.f64 y y) x) x))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (/.f64 (.f64 #s(approx (- x ( (* y y) x)) (.f64 (.f64 (neg.f64 y) y) x)) x) (-.f64 x (*.f64 x y))))
#s(approx (* x (exp y)) (/.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) (-.f64 x (.f64 x y))))
(*.f64 x #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))))
(*.f64 x #s(approx (exp y) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)))) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))

Outputs
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))

Calls

5 calls:

11.0ms	y
11.0ms	(.f64 x (exp.f64 (.f64 y y)))
10.0ms	(*.f64 y y)
8.0ms	(exp.f64 (*.f64 y y))
6.0ms	x

Results

Accuracy	Segments	Branch
85.9%	1	`x`
85.9%	1	`y`
85.9%	1	`(.f64 x (exp.f64 (.f64 y y)))`
85.9%	1	`(exp.f64 (*.f64 y y))`
85.9%	1	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes20.0ms (0.1%)

Memory

-7.9MiB live, 29.6MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
#s(approx (* x (exp y)) (+.f64 (*.f64 x y) x))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 x y) y)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
#s(approx (* x (exp (* y y))) (+.f64 (.f64 (.f64 y y) x) x))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))

Outputs

#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))

(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))

Calls

5 calls:

6.0ms	(.f64 x (exp.f64 (.f64 y y)))
4.0ms	x
4.0ms	y
3.0ms	(*.f64 y y)
3.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
86.6%	2	`y`
86.6%	2	`(.f64 x (exp.f64 (.f64 y y)))`
86.6%	2	`(exp.f64 (*.f64 y y))`
86.6%	2	`(*.f64 y y)`
81.0%	1	`x`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes9.0ms (0%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
#s(approx (* x (exp y)) (+.f64 (*.f64 x y) x))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 x y) y)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
#s(approx (* x (exp (* y y))) (+.f64 (.f64 (.f64 y y) x) x))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))))

Outputs

#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))

(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))

Calls

3 calls:

3.0ms	y
3.0ms	(*.f64 y y)
2.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
86.6%	2	`y`
86.6%	2	`(exp.f64 (*.f64 y y))`
86.6%	2	`(*.f64 y y)`

Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes18.0ms (0.1%)

Memory

-9.2MiB live, 28.6MiB allocated

Counts

8 → 1

Calls

Call 1

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

Outputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))

Calls

5 calls:

5.0ms	(exp.f64 (*.f64 y y))
3.0ms	x
3.0ms	y
3.0ms	(.f64 x (exp.f64 (.f64 y y)))
3.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
81.0%	1	`x`
81.0%	1	`(.f64 x (exp.f64 (.f64 y y)))`
81.0%	1	`(exp.f64 (*.f64 y y))`
81.0%	1	`y`
81.0%	1	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes12.0ms (0.1%)

Memory

24.9MiB live, 24.9MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	x
3.0ms	y
2.0ms	(.f64 x (exp.f64 (.f64 y y)))
2.0ms	(*.f64 y y)
2.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
81.0%	2	`y`
81.0%	2	`(.f64 x (exp.f64 (.f64 y y)))`
81.0%	2	`(exp.f64 (*.f64 y y))`
81.0%	2	`(*.f64 y y)`
75.5%	1	`x`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes15.0ms (0.1%)

Memory

-34.7MiB live, 12.8MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	(*.f64 y y)
2.0ms	y
2.0ms	(.f64 x (exp.f64 (.f64 y y)))
2.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
80.8%	2	`(.f64 x (exp.f64 (.f64 y y)))`
80.8%	2	`(exp.f64 (*.f64 y y))`
80.8%	2	`y`
80.8%	2	`(*.f64 y y)`

Compiler

Compiled 14 to 14 computations (0% saved)

regimes10.0ms (0%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

5 calls:

2.0ms	x
2.0ms	y
2.0ms	(.f64 x (exp.f64 (.f64 y y)))
2.0ms	(*.f64 y y)
2.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
64.2%	1	`x`
75.4%	2	`(.f64 x (exp.f64 (.f64 y y)))`
75.4%	2	`y`
75.4%	2	`(exp.f64 (*.f64 y y))`
75.4%	2	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes7.0ms (0%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

3 → 1

Calls

Call 1

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

Outputs
#s(approx (* x (exp y)) (fma.f64 y x x))

Calls

4 calls:

2.0ms	y
2.0ms	(.f64 x (exp.f64 (.f64 y y)))
2.0ms	(*.f64 y y)
1.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
64.2%	1	`(.f64 x (exp.f64 (.f64 y y)))`
64.2%	1	`(exp.f64 (*.f64 y y))`
64.2%	1	`y`
64.2%	1	`(*.f64 y y)`

Compiler

Compiled 14 to 14 computations (0% saved)

regimes10.0ms (0%)

Memory

-27.3MiB live, 11.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	y
1.0ms	x
1.0ms	(.f64 x (exp.f64 (.f64 y y)))
1.0ms	(*.f64 y y)
1.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
54.4%	1	`x`
54.4%	1	`(*.f64 y y)`
54.4%	1	`y`
54.4%	1	`(.f64 x (exp.f64 (.f64 y y)))`
54.4%	1	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.08062939995087089	151.0675980243745

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.08062939995087089	151.0675980243745

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0213530957445966e+206	6.494975001334463e+212

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.08062939995087089	151.0675980243745

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.08062939995087089	151.0675980243745

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify37.0ms (0.2%)

Memory

-3.0MiB live, 35.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	301
1	100	301
2	103	301
3	104	301
4	105	301

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 2 binary64) y))))
(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
(.f64 x (exp.f64 (.f64 y y)))
(.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)))
(*.f64 x (exp.f64 y))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(if (<=.f64 (.f64 y y) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)))))
(if (<=.f64 (.f64 y y) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y))))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(if (<=.f64 (.f64 y y) #s(literal 400000000000000015557431020435355372522948997180808053337209528030765177157539587052319862431510805549305841247764853165412682445637750246616073468885075761417738345050467774178265823230623784877288962654208 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) #s(approx ( x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x))))
(if (<=.f64 (.f64 y y) #s(literal 3602879701896397/36028797018963968 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x))))
(if (<=.f64 (.f64 y y) #s(literal 3602879701896397/36028797018963968 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 x y) y))))
#s(approx (* x (exp y)) (fma.f64 y x x))
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))

Outputs
(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 2 binary64) y))))
(.f64 #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 2 binary64) y))) x)
(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
(.f64 #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)) x)
(.f64 x (exp.f64 (.f64 y y)))
(.f64 (exp.f64 (.f64 y y)) x)
(.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)))
(.f64 #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)) x)
(*.f64 x (exp.f64 y))
(*.f64 (exp.f64 y) x)
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(if (<=.f64 (.f64 y y) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)))))
(if (<=.f64 (.f64 y y) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))) x))
(if (<=.f64 (.f64 y y) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y))))))
(if (<=.f64 (.f64 y y) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(if (<=.f64 (.f64 y y) #s(literal 400000000000000015557431020435355372522948997180808053337209528030765177157539587052319862431510805549305841247764853165412682445637750246616073468885075761417738345050467774178265823230623784877288962654208 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) #s(approx ( x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x))))
(if (<=.f64 (.f64 y y) #s(literal 3602879701896397/36028797018963968 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x))))
(if (<=.f64 (.f64 y y) #s(literal 3602879701896397/36028797018963968 binary64)) (.f64 #s(approx (exp (* y y)) #s(literal 1 binary64)) x) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x))))
(if (<=.f64 (.f64 y y) #s(literal 3602879701896397/36028797018963968 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 x y) y))))
(if (<=.f64 (.f64 y y) #s(literal 3602879701896397/36028797018963968 binary64)) (.f64 #s(approx (exp (* y y)) #s(literal 1 binary64)) x) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y x) y))))
#s(approx (* x (exp y)) (fma.f64 y x x))
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
(.f64 #s(approx (exp ( y y)) #s(literal 1 binary64)) x)

soundness1.8s (8.7%)

Memory

46.1MiB live, 863.9MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	139
0	41	131
1	115	128
2	481	122
3	3693	122
0	9541	122
0	33	97
1	95	97
2	276	91
3	750	89
4	989	89
5	1161	89
6	1318	89
7	1436	89
8	1436	87
9	1767	87
10	1800	87
11	1801	87
12	1823	87
0	1823	75
0	147	460
1	472	460
2	1202	441
3	3407	439
4	7228	439
0	8128	385
0	67	187
1	208	187
2	528	179
3	1311	177
4	2230	177
5	6523	177
0	8102	151
0	16	66
0	24	66
1	58	66
2	240	66
3	1957	66
0	8246	66
0	5	13
0	8	13
1	13	13
2	26	13
3	69	13
4	294	5
0	2666	5

Stop Event

1×	fuel
1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 525 to 260 computations (50.5% saved)

preprocess273.0ms (1.3%)

Memory: 11.7MiB live, 209.6MiB allocated
Remove: (negabs x)
Compiler: Compiled 1 346 to 758 computations (43.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	32
1	49	32
2	99	32
3	216	32
4	362	32
5	517	32
6	603	32
7	640	32
8	674	32
9	681	32
10	685	32
11	686	32
0	5	6
0	8	6
1	11	6
0	11	6

Iter	Nodes	Cost
0	28	162
0	41	154
1	59	154
2	65	154
3	75	154
4	75	154
5	118	154
6	118	154
7	127	154
8	128	154
0	128	154

Iter	Nodes	Cost
0	15	32
1	49	32
2	99	32
3	216	32
4	362	32
5	517	32
6	603	32
7	640	32
8	674	32
9	681	32
10	685	32
11	686	32
0	5	6
0	8	6
1	11	6
0	11	6

Iter	Nodes	Cost
0	28	162
0	41	154
1	59	154
2	65	154
3	75	154
4	75	154
5	118	154
6	118	154
7	127	154
8	128	154
0	128	154

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (5.2%)

explain92.0ms (0.4%)

preprocess34.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize16.0ms (0.1%)

series4.0ms (0%)

simplify109.0ms (0.5%)

rewrite147.0ms (0.7%)

eval8.0ms (0%)

prune2.0ms (0%)

simplify7.0ms (0%)

localize36.0ms (0.2%)

series8.0ms (0%)

simplify14.4s (68.2%)

rewrite363.0ms (1.7%)

eval84.0ms (0.4%)

prune93.0ms (0.4%)

simplify8.0ms (0%)

localize342.0ms (1.6%)

series13.0ms (0.1%)

simplify170.0ms (0.8%)

rewrite235.0ms (1.1%)

eval76.0ms (0.4%)

prune16.0ms (0.1%)

simplify174.0ms (0.8%)

localize207.0ms (1%)

series46.0ms (0.2%)

simplify254.0ms (1.2%)

rewrite293.0ms (1.4%)

eval87.0ms (0.4%)

prune37.0ms (0.2%)

regimes79.0ms (0.4%)

regimes43.0ms (0.2%)

regimes38.0ms (0.2%)

regimes36.0ms (0.2%)

regimes175.0ms (0.8%)

regimes47.0ms (0.2%)

regimes20.0ms (0.1%)

regimes9.0ms (0%)

regimes18.0ms (0.1%)

regimes12.0ms (0.1%)

regimes15.0ms (0.1%)

regimes10.0ms (0%)

regimes7.0ms (0%)

regimes10.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify37.0ms (0.2%)

soundness1.8s (8.7%)

preprocess273.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	32
1	49	32
2	99	32
3	216	32
4	362	32
5	517	32
6	603	32
7	640	32
8	674	32
9	681	32
10	685	32
11	686	32
0	5	6
0	8	6
1	11	6
0	11	6

Iter	Nodes	Cost
0	28	162
0	41	154
1	59	154
2	65	154
3	75	154
4	75	154
5	118	154
6	118	154
7	127	154
8	128	154
0	128	154