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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample976.0ms (14.4%)

Memory

14.1MiB live, 1 250.7MiB allocated; 204ms collecting garbage

Samples

550.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 369.0ms

ival-mult: 232.0ms (62.9% of total)

ival-exp: 126.0ms (34.2% of total)

ival-true: 5.0ms (1.4% of total)

ival-assert: 3.0ms (0.8% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

explain84.0ms (1.2%)

Memory

-15.2MiB live, 129.7MiB allocated; 19ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(exp.f64 (*.f64 y y))`
-	-	`(*.f64 y y)`
-	-	`(.f64 x (exp.f64 (.f64 y y)))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

35.0ms

512×

valid

Compiler

Compiled 40 to 19 computations (52.5% saved)

Precisions

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

ival-mult: 7.0ms (59.5% of total)

ival-exp: 4.0ms (34% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess219.0ms (3.2%)

Memory

-18.2MiB live, 270.2MiB allocated; 41ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	32
1	58	32
2	171	32
3	409	32
4	1244	32
5	7990	32
0	5	6
0	8	6
1	18	6
2	52	6
3	151	6
4	428	6
5	2559	6
6	7635	6
0	8333	6

Stop Event

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

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: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify287.0ms (4.2%)

Memory

-4.8MiB live, 287.7MiB allocated; 40ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y y)
cost-diff	0	(exp.f64 (*.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	18	15
2	52	15
3	151	15
4	428	15
5	2559	15
6	7635	15
0	8333	15

Stop Event

1×	iter limit
1×	node limit
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 (0.2%)

Memory

14.2MiB live, 14.2MiB allocated; 0ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(exp.f64 (*.f64 y y))
accuracy	0.00390625	(.f64 x (exp.f64 (.f64 y y)))

Samples

11.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (55.7% of total)

ival-exp: 2.0ms (37.1% of total)

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

adjust: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Counts

3 → 11

Calls

Call 1

Inputs
(.f64 x (exp.f64 (.f64 y y)))
(exp.f64 (*.f64 y y))
(*.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))))))
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)))))))
(pow y 2)
(exp (pow y 2))

Calls

6 calls:

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

simplify239.0ms (3.5%)

Memory

13.2MiB live, 193.1MiB allocated; 47ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	97
1	127	97
2	492	91
3	2193	89
4	4804	89
0	8100	77

Stop Event

1×	iter limit
1×	node limit

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

rewrite72.0ms (1.1%)

Memory

-0.7MiB live, 88.6MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	20	13
2	83	13
0	501	13

Stop Event

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

Counts

3 → 60

Calls

Call 1

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

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

eval92.0ms (1.4%)

Memory: -30.4MiB live, 75.1MiB allocated; 43ms collecting garbage
Compiler: Compiled 1 094 to 230 computations (79% saved)

prune2.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	5	71

Accuracy

100.0%

Counts

71 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (.f64 x #s(literal 1 binary64)) (exp.f64 (.f64 (neg.f64 y) y)))
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
▶	79.3%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
▶	51.4%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
▶	91.6%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) x))

Compiler

Compiled 59 to 42 computations (28.8% saved)

simplify173.0ms (2.6%)

Memory

36.4MiB live, 177.8MiB allocated; 45ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	142
0	40	138
1	87	137
2	319	137
3	1594	137
4	6866	137
0	8100	133

Stop Event

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

Calls

Call 1

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

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

localize76.0ms (1.1%)

Memory

-3.6MiB live, 133.4MiB allocated; 12ms collecting garbage

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 (neg.f64 y) y)
accuracy	0.0	(*.f64 x #s(literal 1 binary64))
accuracy	0.0	(neg.f64 y)
accuracy	0.0	(exp.f64 (*.f64 (neg.f64 y) y))
accuracy	0.0	(fma.f64 y y #s(literal 1 binary64))
accuracy	0.00390625	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
accuracy	0.852312504178674	#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
accuracy	0.00390625	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
accuracy	0.961554963084611	#s(approx (exp (* y y)) #s(literal 1 binary64))
accuracy	0.00390625	(fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) x)
accuracy	0.00390625	(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
accuracy	0.6154273746314826	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) x))
accuracy	3.7855130726076935	(.f64 (.f64 y y) x)

Samples

26.0ms	131×	0	valid
20.0ms	125×	0	exit

Compiler

Compiled 118 to 23 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 12.0ms (41.2% of total)

ival-add: 5.0ms (17.2% of total)

const: 5.0ms (17.2% of total)

ival-exp: 4.0ms (13.7% of total)

ival-div: 2.0ms (6.9% of total)

ival-neg: 1.0ms (3.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series40.0ms (0.6%)

Memory

-25.8MiB live, 29.4MiB allocated; 7ms collecting garbage

Counts

15 → 32

Calls

Call 1

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

Outputs
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (exp (pow y 2)))
(* x (pow y 2))
x
(/ x (exp (* -1 (pow y 2))))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(+ 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)))))))
(+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1 x) (* 1/2 x)))) (* -1 x))))
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ x (+ (* -1 x) (* -1/6 x))))) (+ (* -1 x) (* 1/2 x)))) (* -1 x))))
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/2 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/2 (* -1/6 (pow y 2)))) 1)))
(* -1 (pow y 2))
1/2
(+ 1/2 (* 1/6 (pow y 2)))
(* -1 y)
(* 1/6 (* x (pow y 6)))
(* (pow y 6) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (+ (/ x (pow y 4)) (/ x (pow y 6))))))
(exp (pow y 2))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(exp (* -1 (pow y 2)))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	x	@	-inf	((+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* (* y y) x) (* y y) (* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* x 1) (/ (* x 1) (exp (* (neg y) y))) (exp (* (neg y) y)) (* (neg y) y) (+ (* 1/6 (* y y)) 1/2) (neg y))
3.0ms	x	@	0	((+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* (* y y) x) (* y y) (* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* x 1) (/ (* x 1) (exp (* (neg y) y))) (exp (* (neg y) y)) (* (neg y) y) (+ (* 1/6 (* y y)) 1/2) (neg y))
3.0ms	y	@	0	((+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* (* y y) x) (* y y) (* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* x 1) (/ (* x 1) (exp (* (neg y) y))) (exp (* (neg y) y)) (* (neg y) y) (+ (* 1/6 (* y y)) 1/2) (neg y))
3.0ms	x	@	inf	((+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* (* y y) x) (* y y) (* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* x 1) (/ (* x 1) (exp (* (neg y) y))) (exp (* (neg y) y)) (* (neg y) y) (+ (* 1/6 (* y y)) 1/2) (neg y))
2.0ms	y	@	inf	((+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* (* y y) x) (* y y) (* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* x 1) (/ (* x 1) (exp (* (neg y) y))) (exp (* (neg y) y)) (* (neg y) y) (+ (* 1/6 (* y y)) 1/2) (neg y))

simplify164.0ms (2.4%)

Memory

25.7MiB live, 298.0MiB allocated; 36ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	334
1	334	333
2	1277	314
3	4536	314
0	8213	284

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 31

Calls

Call 1

Inputs
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (exp (pow y 2)))
(* x (pow y 2))
x
(/ x (exp (* -1 (pow y 2))))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(+ 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)))))))
(+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1 x) (* 1/2 x)))) (* -1 x))))
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ x (+ (* -1 x) (* -1/6 x))))) (+ (* -1 x) (* 1/2 x)))) (* -1 x))))
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/2 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/2 (* -1/6 (pow y 2)))) 1)))
(* -1 (pow y 2))
1/2
(+ 1/2 (* 1/6 (pow y 2)))
(* -1 y)
(* 1/6 (* x (pow y 6)))
(* (pow y 6) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (+ (/ x (pow y 4)) (/ x (pow y 6))))))
(exp (pow y 2))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(exp (* -1 (pow y 2)))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))

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

rewrite266.0ms (3.9%)

Memory

-0.1MiB live, 355.7MiB allocated; 96ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	118
0	40	114
1	143	113
2	1007	113
0	8317	113

Stop Event

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

Counts

15 → 308

Calls

Call 1

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

Outputs
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) x)
(.f64 x (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) #s(literal -1 binary64)))
(.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (*.f64 y y))))
(.f64 x (-.f64 (.f64 (.f64 y y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)))
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(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
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(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64)))) (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64)))) #s(literal 1/8 binary64))) (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 y y) #s(literal 1/12 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 (*.f64 y y) #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64)) (-.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 (*.f64 y y) #s(literal 1/12 binary64))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64)))))
(neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1/2 binary64)))
(fma.f64 (fabs.f64 (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) (neg.f64 y) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64))
(fma.f64 (neg.f64 y) (*.f64 #s(literal -1/6 binary64) y) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 y (fabs.f64 (*.f64 #s(literal -1/6 binary64) y)) #s(literal 1/2 binary64))
(fma.f64 y (fabs.f64 (*.f64 #s(literal 1/6 binary64) y)) #s(literal 1/2 binary64))
(fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)))) (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
(+.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 (.f64 y y) #s(literal 1/12 binary64)))) (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 (*.f64 y y) #s(literal 1/12 binary64)))))
(+.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 (.f64 y y) #s(literal 1/12 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 (*.f64 y y) #s(literal 1/12 binary64)))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64))))) (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 y y) #s(literal 1/12 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 y y) #s(literal 1/12 binary64))))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 #s(literal -1/6 binary64) y)) y))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)))
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(neg.f64 y)
(-.f64 #s(literal 0 binary64) y)
(log.f64 (exp.f64 (neg.f64 y)))

eval75.0ms (1.1%)

Memory: -43.2MiB live, 100.6MiB allocated; 20ms collecting garbage
Compiler: Compiled 12 390 to 1 366 computations (89% saved)

prune15.0ms (0.2%)

Memory

38.0MiB live, 38.0MiB allocated; 0ms collecting garbage

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	359	11	370
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	361	14	375

Accuracy

100.0%

Counts

375 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 x (exp.f64 (*.f64 (neg.f64 y) y)))
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	79.3%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
✓	51.4%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
▶	85.9%	#s(approx (/ (* x 1) (exp (* (neg y) y))) (fma.f64 (.f64 (.f64 x y) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))
	94.6%	#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y) y) (.f64 y y) #s(literal 1 binary64)) x (.f64 x (.f64 y y))))
	91.2%	#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 (.f64 y y) (.f64 x (.f64 y y))) (.f64 (fma.f64 y y #s(literal 1 binary64)) x)))
	91.2%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) x))
	85.9%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
▶	92.4%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x y) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y) y) y y) x))
	91.2%	#s(approx (* x (exp (* y y))) (fma.f64 y (fma.f64 (.f64 x (.f64 y y)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y) (*.f64 x y)) x))
	91.6%	#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 (.f64 x y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
▶	94.6%	#s(approx (* x (exp (* y y))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) x))
▶	79.3%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (fma.f64 (*.f64 y y) x x)))

Compiler

Compiled 595 to 354 computations (40.5% saved)

simplify169.0ms (2.5%)

Memory

14.7MiB live, 148.6MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	321
0	72	319
1	162	315
2	606	308
3	3142	308
4	6857	308
0	8097	295

Stop Event

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

Calls

Call 1

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

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

localize210.0ms (3.1%)

Memory

-14.7MiB live, 126.4MiB allocated; 39ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.00390625	(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
accuracy	0.0078125	(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y)
accuracy	0.6154273746314826	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x y) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y) y) y y) x))
accuracy	0.00390625	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy	0.00390625	(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
accuracy	0.01171875	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) x)
accuracy	0.6154273746314826	#s(approx (* x (exp (* y y))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) x))
accuracy	0.0	(*.f64 x y)
accuracy	0.00390625	(fma.f64 (.f64 (.f64 x y) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)
accuracy	0.0703125	(.f64 (.f64 x y) y)
accuracy	0.7403748111095014	#s(approx (/ (* x 1) (exp (* (neg y) y))) (fma.f64 (.f64 (.f64 x y) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))
accuracy	0.0	(fma.f64 (*.f64 y y) x x)
accuracy	0.0	(*.f64 y y)
accuracy	0.6154273746314826	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (fma.f64 (*.f64 y y) x x)))
accuracy	0.8453930166529073	#s(approx (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (fma.f64 (*.f64 y y) x x))
accuracy	0.0	(/.f64 x (exp.f64 (*.f64 (neg.f64 y) y)))
accuracy	0.0	(*.f64 (neg.f64 y) y)
accuracy	0.0	(neg.f64 y)
accuracy	0.0	(exp.f64 (*.f64 (neg.f64 y) y))

Samples

123.0ms	125×	0	exit
34.0ms	131×	0	valid

Compiler

Compiled 260 to 39 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 138.0ms

ival-neg: 59.0ms (42.8% of total)

ival-mult: 58.0ms (42.1% of total)

ival-add: 10.0ms (7.3% of total)

ival-exp: 4.0ms (2.9% of total)

const: 4.0ms (2.9% of total)

ival-div: 2.0ms (1.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series71.0ms (1%)

Memory

-31.3MiB live, 81.9MiB allocated; 24ms collecting garbage

Counts

21 → 61

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
31.0ms	x	@	inf	((/ x (exp (* (neg y) y))) (exp (* (neg y) y)) (* (neg y) y) (neg y) (* x (exp (* y y))) (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (+ (* (* y y) x) x) (* y y) (+ (* (* (* x y) y) (+ (* 1/2 (* y y)) 1)) x) (/ (* x 1) (exp (* (neg y) y))) (* (* x y) y) (* x y) (+ (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) 1) (* x (exp (* y y))) (* (+ (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) 1) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y) (* x (exp (* y y))) (+ (* (* x y) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y)) x) (+ (* 1/6 (* y y)) 1/2) (* (+ (* 1/6 (* y y)) 1/2) y))
19.0ms	y	@	-inf	((/ x (exp (* (neg y) y))) (exp (* (neg y) y)) (* (neg y) y) (neg y) (* x (exp (* y y))) (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (+ (* (* y y) x) x) (* y y) (+ (* (* (* x y) y) (+ (* 1/2 (* y y)) 1)) x) (/ (* x 1) (exp (* (neg y) y))) (* (* x y) y) (* x y) (+ (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) 1) (* x (exp (* y y))) (* (+ (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) 1) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y) (* x (exp (* y y))) (+ (* (* x y) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y)) x) (+ (* 1/6 (* y y)) 1/2) (* (+ (* 1/6 (* y y)) 1/2) y))
5.0ms	x	@	-inf	((/ x (exp (* (neg y) y))) (exp (* (neg y) y)) (* (neg y) y) (neg y) (* x (exp (* y y))) (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (+ (* (* y y) x) x) (* y y) (+ (* (* (* x y) y) (+ (* 1/2 (* y y)) 1)) x) (/ (* x 1) (exp (* (neg y) y))) (* (* x y) y) (* x y) (+ (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) 1) (* x (exp (* y y))) (* (+ (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) 1) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y) (* x (exp (* y y))) (+ (* (* x y) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y)) x) (+ (* 1/6 (* y y)) 1/2) (* (+ (* 1/6 (* y y)) 1/2) y))
5.0ms	y	@	0	((/ x (exp (* (neg y) y))) (exp (* (neg y) y)) (* (neg y) y) (neg y) (* x (exp (* y y))) (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (+ (* (* y y) x) x) (* y y) (+ (* (* (* x y) y) (+ (* 1/2 (* y y)) 1)) x) (/ (* x 1) (exp (* (neg y) y))) (* (* x y) y) (* x y) (+ (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) 1) (* x (exp (* y y))) (* (+ (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) 1) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y) (* x (exp (* y y))) (+ (* (* x y) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y)) x) (+ (* 1/6 (* y y)) 1/2) (* (+ (* 1/6 (* y y)) 1/2) y))
5.0ms	x	@	0	((/ x (exp (* (neg y) y))) (exp (* (neg y) y)) (* (neg y) y) (neg y) (* x (exp (* y y))) (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (+ (* (* y y) x) x) (* y y) (+ (* (* (* x y) y) (+ (* 1/2 (* y y)) 1)) x) (/ (* x 1) (exp (* (neg y) y))) (* (* x y) y) (* x y) (+ (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) 1) (* x (exp (* y y))) (* (+ (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) 1) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y) (* x (exp (* y y))) (+ (* (* x y) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y)) x) (+ (* 1/6 (* y y)) 1/2) (* (+ (* 1/6 (* y y)) 1/2) y))

simplify233.0ms (3.4%)

Memory

27.4MiB live, 260.1MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	688
1	559	661
2	2001	631
3	6869	631
0	8175	583

Stop Event

1×	iter limit
1×	node limit

Counts

61 → 59

Calls

Call 1

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

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

rewrite286.0ms (4.2%)

Memory

11.7MiB live, 275.9MiB allocated; 70ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	270
0	72	268
1	270	257
2	2099	257
0	8505	248

Stop Event

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

Counts

21 → 681

Calls

Call 1

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

Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (neg.f64 y)) (/.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 (exp.f64 (neg.f64 y)) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 x (pow.f64 (exp.f64 (neg.f64 y)) (/.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (neg.f64 y)) (/.f64 y #s(literal 2 binary64)))))
(.f64 (.f64 (pow.f64 (exp.f64 y) y) #s(literal 1 binary64)) x)
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 (exp.f64 y) y) x))
(.f64 (.f64 (pow.f64 (exp.f64 y) y) x) #s(literal 1 binary64))
(*.f64 (pow.f64 (exp.f64 y) y) x)
(.f64 x (.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(/.f64 (-.f64 (.f64 (.f64 (cosh.f64 (.f64 y y)) x) (.f64 (cosh.f64 (.f64 y y)) x)) (.f64 (.f64 (sinh.f64 (.f64 y y)) x) (.f64 (sinh.f64 (.f64 y y)) x))) (-.f64 (.f64 (cosh.f64 (.f64 y y)) x) (.f64 (sinh.f64 (.f64 y y)) x)))
(/.f64 (-.f64 (.f64 (.f64 x (cosh.f64 (.f64 y y))) (.f64 x (cosh.f64 (.f64 y y)))) (.f64 (.f64 x (sinh.f64 (.f64 y y))) (.f64 x (sinh.f64 (.f64 y y))))) (-.f64 (.f64 x (cosh.f64 (.f64 y y))) (.f64 x (sinh.f64 (.f64 y y)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (.f64 y y)) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 (.f64 y y)) x) #s(literal 3 binary64))) (fma.f64 (.f64 (cosh.f64 (.f64 y y)) x) (.f64 (cosh.f64 (.f64 y y)) x) (-.f64 (.f64 (.f64 (sinh.f64 (.f64 y y)) x) (.f64 (sinh.f64 (.f64 y y)) x)) (.f64 (.f64 (cosh.f64 (.f64 y y)) x) (.f64 (sinh.f64 (.f64 y y)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (cosh.f64 (.f64 y y))) #s(literal 3 binary64)) (pow.f64 (.f64 x (sinh.f64 (.f64 y y))) #s(literal 3 binary64))) (fma.f64 (.f64 x (cosh.f64 (.f64 y y))) (.f64 x (cosh.f64 (.f64 y y))) (-.f64 (.f64 (.f64 x (sinh.f64 (.f64 y y))) (.f64 x (sinh.f64 (.f64 y y)))) (.f64 (.f64 x (cosh.f64 (.f64 y y))) (.f64 x (sinh.f64 (.f64 y y)))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (pow.f64 (exp.f64 y) (neg.f64 y))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (pow.f64 (exp.f64 y) (neg.f64 y)))))
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 (exp.f64 y) (neg.f64 y))))
(/.f64 x (pow.f64 (exp.f64 y) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 x) (pow.f64 (exp.f64 y) (neg.f64 y))))
(neg.f64 (/.f64 x (neg.f64 (pow.f64 (exp.f64 y) (neg.f64 y)))))
(fma.f64 (cosh.f64 (.f64 y y)) x (.f64 (sinh.f64 (*.f64 y y)) x))
(fma.f64 x (cosh.f64 (.f64 y y)) (.f64 x (sinh.f64 (*.f64 y y))))
(+.f64 (.f64 (cosh.f64 (.f64 y y)) x) (.f64 (sinh.f64 (.f64 y y)) x))
(+.f64 (.f64 x (cosh.f64 (.f64 y y))) (.f64 x (sinh.f64 (.f64 y y))))
(*.f64 (neg.f64 (pow.f64 (exp.f64 (neg.f64 y)) (/.f64 y #s(literal 2 binary64)))) (neg.f64 (pow.f64 (exp.f64 (neg.f64 y)) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (fabs.f64 (pow.f64 (exp.f64 (neg.f64 y)) (/.f64 y #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (exp.f64 (neg.f64 y)) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (exp.f64 (neg.f64 y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (exp.f64 (neg.f64 y)) (/.f64 y #s(literal 2 binary64))))
(pow.f64 (*.f64 (exp.f64 (neg.f64 y)) (exp.f64 (neg.f64 y))) (/.f64 y #s(literal 2 binary64)))
(pow.f64 (exp.f64 (neg.f64 (neg.f64 y))) (neg.f64 y))
(pow.f64 (pow.f64 (exp.f64 (neg.f64 y)) (/.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (neg.f64 y)) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64))))
(pow.f64 (exp.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(pow.f64 (exp.f64 (neg.f64 y)) y)
(pow.f64 (exp.f64 y) (neg.f64 y))
(pow.f64 (pow.f64 (exp.f64 y) y) #s(literal -1 binary64))
(pow.f64 (pow.f64 (exp.f64 y) (neg.f64 y)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 y y)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 y y)) #s(literal 2 binary64))) (-.f64 (sinh.f64 (.f64 (neg.f64 y) y)) (cosh.f64 (.f64 y y))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 (.f64 y y)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 y y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 y y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sinh.f64 (.f64 y y)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 y y)) (sinh.f64 (*.f64 y y))))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (neg.f64 y) y)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 y y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (.f64 y y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 y y)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 (neg.f64 y) y)) (cosh.f64 (*.f64 y y))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (neg.f64 y) y)) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 y y)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 y y)) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (neg.f64 y) y)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 y y)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (neg.f64 y) y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 y y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 y y)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 y y)) (sinh.f64 (*.f64 (neg.f64 y) y)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 y y))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 y y))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (neg.f64 y) y))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 y y))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 y y))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (neg.f64 y) y))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 y y))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 y y)))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 y y)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (neg.f64 y) y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 y y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 y y)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 y y)) (sinh.f64 (*.f64 (neg.f64 y) y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (exp.f64 y) y)))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) y))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (.f64 y y)) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) y)) (/.f64 (pow.f64 (sinh.f64 (.f64 y y)) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) y)))
(-.f64 (cosh.f64 (.f64 y y)) (sinh.f64 (.f64 y y)))
(exp.f64 (*.f64 (neg.f64 y) y))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (.f64 y y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (.f64 y y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 y y)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 y y)) (sinh.f64 (.f64 (neg.f64 y) y)))))) (/.f64 (pow.f64 (sinh.f64 (.f64 (neg.f64 y) y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (.f64 y y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 y y)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 y y)) (sinh.f64 (.f64 (neg.f64 y) y)))))))
(+.f64 (sinh.f64 (.f64 (neg.f64 y) y)) (cosh.f64 (.f64 y y)))
(+.f64 (cosh.f64 (.f64 y y)) (sinh.f64 (.f64 (neg.f64 y) y)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 y) y)
(*.f64 y (neg.f64 y))
(neg.f64 (*.f64 y y))
(neg.f64 y)
(-.f64 #s(literal 0 binary64) y)
(log.f64 (exp.f64 (neg.f64 y)))
#s(approx (/ (* x 1) (exp (* (neg y) y))) #s(approx (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (fma.f64 (*.f64 y y) x x)))
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(/.f64 (fma.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64)))) (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64)))) #s(literal 1/8 binary64))) (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 y y) #s(literal 1/12 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (*.f64 y y) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (*.f64 y y) #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64)))))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 y))) y #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 y)) (neg.f64 y) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(fma.f64 y (fabs.f64 (*.f64 #s(literal 1/6 binary64) y)) #s(literal 1/2 binary64))
(fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))) (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/6 binary64) y)) y))
(-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (neg.f64 y) y) #s(literal 1/6 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (.f64 y y) #s(literal 1/12 binary64))))) (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (*.f64 y y) #s(literal 1/12 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (.f64 y y) #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (*.f64 y y) #s(literal 1/12 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64))))) (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 y y) #s(literal 1/12 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 y y) #s(literal 1/12 binary64))))))
(+.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))
(.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y)
(.f64 y (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) y) (.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) y)) (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) y) (.f64 #s(literal 1/2 binary64) y)))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 (.f64 y y) #s(literal 1/6 binary64))) (.f64 y (.f64 (.f64 y y) #s(literal 1/6 binary64)))) (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) (-.f64 (.f64 y (.f64 (.f64 y y) #s(literal 1/6 binary64))) (.f64 #s(literal 1/2 binary64) y)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) y) (.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) y))) (-.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) y)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (.f64 (.f64 y (.f64 (.f64 y y) #s(literal 1/6 binary64))) (.f64 y (.f64 (.f64 y y) #s(literal 1/6 binary64))))) (-.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 y (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) y) #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) y) (.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) y) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) y) (.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (+.f64 (pow.f64 (.f64 y (.f64 (.f64 y y) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (.f64 y (.f64 (.f64 y y) #s(literal 1/6 binary64))) (.f64 y (.f64 (.f64 y y) #s(literal 1/6 binary64))) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (.f64 (.f64 y (.f64 (.f64 y y) #s(literal 1/6 binary64))) (.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) y) (.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) y)) (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) y)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 y (.f64 (.f64 y y) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y (.f64 (.f64 y y) #s(literal 1/6 binary64))) (.f64 y (.f64 (.f64 y y) #s(literal 1/6 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 y (.f64 (.f64 y y) #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64)) y)) (neg.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64)) y)) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 y y) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (.f64 y (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 y (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 y y) #s(literal 1/12 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64)) y) (-.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64)) y) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 y y) #s(literal 1/12 binary64)))))
(/.f64 (.f64 y (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64))) (-.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(/.f64 (.f64 y (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 y y) #s(literal 1/12 binary64)))))
(fma.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) y (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (.f64 (.f64 (*.f64 y y) #s(literal 1/6 binary64)) y))
(fma.f64 #s(literal 1/2 binary64) y (.f64 y (.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(fma.f64 y (.f64 (.f64 y y) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 y #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 y y) #s(literal 1/6 binary64)) y))
(fma.f64 y #s(literal 1/2 binary64) (.f64 y (.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) y) (.f64 #s(literal 1/2 binary64) y))
(+.f64 (.f64 y (.f64 (.f64 y y) #s(literal 1/6 binary64))) (.f64 #s(literal 1/2 binary64) y))
(+.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) y))
(+.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 y (.f64 (.f64 y y) #s(literal 1/6 binary64))))

eval265.0ms (3.9%)

Memory: 6.7MiB live, 307.9MiB allocated; 64ms collecting garbage
Compiler: Compiled 33 839 to 3 323 computations (90.2% saved)

prune33.0ms (0.5%)

Memory

7.8MiB live, 99.0MiB allocated; 6ms collecting garbage

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	743	9	752
Fresh	3	3	6
Picked	1	4	5
Done	0	3	3
Total	747	19	766

Accuracy

100.0%

Counts

766 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (exp.f64 (*.f64 (neg.f64 y) y)))
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	79.3%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
✓	51.4%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
	88.5%	#s(approx (/ (* x 1) (exp (* (neg y) y))) (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 y y)) x x))
✓	85.9%	#s(approx (/ (* x 1) (exp (* (neg y) y))) (fma.f64 (.f64 (.f64 x y) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))
▶	87.0%	#s(approx (/ (* x 1) (exp (* (neg y) y))) (fma.f64 y (.f64 x (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x))
	91.2%	#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 (.f64 y y) (.f64 x (.f64 y y))) (.f64 (fma.f64 y y #s(literal 1 binary64)) x)))
	91.6%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y x)) y x))
▶	91.2%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) x))
	91.2%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 y x) (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y)) (.f64 y y) (fma.f64 (.f64 y y) x x)))
✓	92.4%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x y) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y) y) y y) x))
	92.0%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x y) (fma.f64 (.f64 (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y) y) y y) x))
	87.0%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x y) (fma.f64 (.f64 (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) y) y y) x))
	91.2%	#s(approx (* x (exp (* y y))) (fma.f64 y (fma.f64 (.f64 x (.f64 y y)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y) (*.f64 x y)) x))
✓	94.6%	#s(approx (* x (exp (* y y))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) x))
▶	94.6%	#s(approx (* x (exp (* y y))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) x))
▶	94.2%	#s(approx (* x (exp (* y y))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) (.f64 (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) x))
▶	72.0%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (fma.f64 (*.f64 y x) y x)))

Compiler

Compiled 785 to 467 computations (40.5% saved)

simplify155.0ms (2.3%)

Memory

-12.5MiB live, 229.1MiB allocated; 40ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 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))) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) x))
cost-diff	2	(fma.f64 (.f64 (.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) x)
cost-diff	0	(fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (.f64 (.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) (.f64 (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (* x (exp (* y y))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) (.f64 (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) x))
cost-diff	2	(fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (.f64 (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))
cost-diff	0	(.f64 x (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y))
cost-diff	0	(fma.f64 y (.f64 x (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x)
cost-diff	0	#s(approx (/ (* x 1) (exp (* (neg y) y))) (fma.f64 y (.f64 x (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x))
cost-diff	2	(.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 (*.f64 y x) y x)
cost-diff	0	#s(approx (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (fma.f64 (*.f64 y x) y x))
cost-diff	0	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (fma.f64 (*.f64 y x) y x)))
cost-diff	0	(fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (* x (exp (* y y))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) x))
cost-diff	2	(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	461
0	80	446
1	179	443
2	653	443
3	3291	439
4	7800	439
0	8444	415

Stop Event

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

Calls

Call 1

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

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

localize122.0ms (1.8%)

Memory

1.3MiB live, 233.8MiB allocated; 27ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.10546875	(.f64 #s(literal 1/6 binary64) (.f64 y y))
accuracy	0.6154273746314826	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) x))
accuracy	3.7855130726076935	(.f64 (.f64 y y) x)
accuracy	31.166392590862294	#s(approx (+ (* 1/6 (* y y)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 y y)))
accuracy	0.01171875	(.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) (.f64 (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) x)
accuracy	0.10546875	(.f64 (.f64 y y) #s(literal 1/6 binary64))
accuracy	0.6154273746314826	#s(approx (* x (exp (* y y))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) (.f64 (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) x))
accuracy	31.166392590862294	#s(approx (+ (* 1/6 (* y y)) 1/2) (.f64 (.f64 y y) #s(literal 1/6 binary64)))
accuracy	0.0	(*.f64 y y)
accuracy	0.00390625	(.f64 x (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y))
accuracy	0.01171875	(.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)
accuracy	0.7403748111095014	#s(approx (/ (* x 1) (exp (* (neg y) y))) (fma.f64 y (.f64 x (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x))
accuracy	0.0	(fma.f64 (*.f64 y x) y x)
accuracy	0.0	(*.f64 y x)
accuracy	0.6154273746314826	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (fma.f64 (*.f64 y x) y x)))
accuracy	0.8453930166529073	#s(approx (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (fma.f64 (*.f64 y x) y x))
accuracy	0.00390625	(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	0.0078125	(.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y)
accuracy	0.01171875	(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) x)
accuracy	0.6154273746314826	#s(approx (* x (exp (* y y))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) x))

Samples

49.0ms	131×	0	valid
46.0ms	125×	0	exit

Compiler

Compiled 324 to 42 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 35.0ms (49.7% of total)

ival-add: 22.0ms (31.2% of total)

ival-exp: 6.0ms (8.5% of total)

const: 4.0ms (5.7% of total)

ival-div: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory

0.7MiB live, 47.1MiB allocated; 3ms collecting garbage

Counts

26 → 55

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((+ (* (+ (* (* (+ (* (* y y) 1/6) 1/2) y) y) 1) (* y y)) 1) (* x (exp (* y y))) (* (+ (* (+ (* (* (+ (* (* y y) 1/6) 1/2) y) y) 1) (* y y)) 1) x) (+ (* (* (+ (* (* y y) 1/6) 1/2) y) y) 1) (* x (exp (* y y))) (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (+ (* (* y x) y) x) (* y x) (* (+ (* (* y y) 1/2) 1) y) (/ (* x 1) (exp (* (neg y) y))) (+ (* y (* x (* (+ (* (* y y) 1/2) 1) y))) x) (* x (* (+ (* (* y y) 1/2) 1) y)) (+ (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) 1) (* x (exp (* y y))) (* (+ (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) 1) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* (* y y) x) (* y y) (* (+ (* (* y y) 1/6) 1/2) y) (+ (* (* y y) 1/6) 1/2) (+ (* 1/6 (* y y)) 1/2) (* (* y y) 1/6) (+ (* 1/6 (* y y)) 1/2) (* 1/6 (* y y)))
3.0ms	x	@	inf	((+ (* (+ (* (* (+ (* (* y y) 1/6) 1/2) y) y) 1) (* y y)) 1) (* x (exp (* y y))) (* (+ (* (+ (* (* (+ (* (* y y) 1/6) 1/2) y) y) 1) (* y y)) 1) x) (+ (* (* (+ (* (* y y) 1/6) 1/2) y) y) 1) (* x (exp (* y y))) (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (+ (* (* y x) y) x) (* y x) (* (+ (* (* y y) 1/2) 1) y) (/ (* x 1) (exp (* (neg y) y))) (+ (* y (* x (* (+ (* (* y y) 1/2) 1) y))) x) (* x (* (+ (* (* y y) 1/2) 1) y)) (+ (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) 1) (* x (exp (* y y))) (* (+ (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) 1) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* (* y y) x) (* y y) (* (+ (* (* y y) 1/6) 1/2) y) (+ (* (* y y) 1/6) 1/2) (+ (* 1/6 (* y y)) 1/2) (* (* y y) 1/6) (+ (* 1/6 (* y y)) 1/2) (* 1/6 (* y y)))
3.0ms	x	@	0	((+ (* (+ (* (* (+ (* (* y y) 1/6) 1/2) y) y) 1) (* y y)) 1) (* x (exp (* y y))) (* (+ (* (+ (* (* (+ (* (* y y) 1/6) 1/2) y) y) 1) (* y y)) 1) x) (+ (* (* (+ (* (* y y) 1/6) 1/2) y) y) 1) (* x (exp (* y y))) (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (+ (* (* y x) y) x) (* y x) (* (+ (* (* y y) 1/2) 1) y) (/ (* x 1) (exp (* (neg y) y))) (+ (* y (* x (* (+ (* (* y y) 1/2) 1) y))) x) (* x (* (+ (* (* y y) 1/2) 1) y)) (+ (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) 1) (* x (exp (* y y))) (* (+ (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) 1) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* (* y y) x) (* y y) (* (+ (* (* y y) 1/6) 1/2) y) (+ (* (* y y) 1/6) 1/2) (+ (* 1/6 (* y y)) 1/2) (* (* y y) 1/6) (+ (* 1/6 (* y y)) 1/2) (* 1/6 (* y y)))
3.0ms	y	@	-inf	((+ (* (+ (* (* (+ (* (* y y) 1/6) 1/2) y) y) 1) (* y y)) 1) (* x (exp (* y y))) (* (+ (* (+ (* (* (+ (* (* y y) 1/6) 1/2) y) y) 1) (* y y)) 1) x) (+ (* (* (+ (* (* y y) 1/6) 1/2) y) y) 1) (* x (exp (* y y))) (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (+ (* (* y x) y) x) (* y x) (* (+ (* (* y y) 1/2) 1) y) (/ (* x 1) (exp (* (neg y) y))) (+ (* y (* x (* (+ (* (* y y) 1/2) 1) y))) x) (* x (* (+ (* (* y y) 1/2) 1) y)) (+ (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) 1) (* x (exp (* y y))) (* (+ (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) 1) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* (* y y) x) (* y y) (* (+ (* (* y y) 1/6) 1/2) y) (+ (* (* y y) 1/6) 1/2) (+ (* 1/6 (* y y)) 1/2) (* (* y y) 1/6) (+ (* 1/6 (* y y)) 1/2) (* 1/6 (* y y)))
3.0ms	y	@	inf	((+ (* (+ (* (* (+ (* (* y y) 1/6) 1/2) y) y) 1) (* y y)) 1) (* x (exp (* y y))) (* (+ (* (+ (* (* (+ (* (* y y) 1/6) 1/2) y) y) 1) (* y y)) 1) x) (+ (* (* (+ (* (* y y) 1/6) 1/2) y) y) 1) (* x (exp (* y y))) (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (+ (* (* y x) y) x) (* y x) (* (+ (* (* y y) 1/2) 1) y) (/ (* x 1) (exp (* (neg y) y))) (+ (* y (* x (* (+ (* (* y y) 1/2) 1) y))) x) (* x (* (+ (* (* y y) 1/2) 1) y)) (+ (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) 1) (* x (exp (* y y))) (* (+ (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) 1) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* (* y y) x) (* y y) (* (+ (* (* y y) 1/6) 1/2) y) (+ (* (* y y) 1/6) 1/2) (+ (* 1/6 (* y y)) 1/2) (* (* y y) 1/6) (+ (* 1/6 (* y y)) 1/2) (* 1/6 (* y y)))

simplify186.0ms (2.7%)

Memory

34.6MiB live, 210.8MiB allocated; 45ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	583
1	502	561
2	1883	535
3	6728	535
0	8415	491

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 53

Calls

Call 1

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

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

rewrite248.0ms (3.7%)

Memory

-35.5MiB live, 350.7MiB allocated; 81ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	409
0	80	395
1	338	392
2	2264	392
0	8230	392

Stop Event

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

Counts

26 → 552

Calls

Call 1

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

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

eval91.0ms (1.3%)

Memory: 34.8MiB live, 174.9MiB allocated; 20ms collecting garbage
Compiler: Compiled 26 735 to 2 837 computations (89.4% saved)

prune40.0ms (0.6%)

Memory

-1.8MiB live, 87.7MiB allocated; 11ms collecting garbage

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	656	4	660
Fresh	3	4	7
Picked	3	2	5
Done	0	7	7
Total	662	17	679

Accuracy

100.0%

Counts

679 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (exp.f64 (*.f64 (neg.f64 y) y)))
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	79.3%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
✓	51.4%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
	91.2%	#s(approx (/ (* x 1) (exp (* (neg y) y))) (fma.f64 (fma.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 y y) x) (.f64 y y) x))
	88.5%	#s(approx (/ (* x 1) (exp (* (neg y) y))) (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 y y)) x x))
✓	85.9%	#s(approx (/ (* x 1) (exp (* (neg y) y))) (fma.f64 (.f64 (.f64 x y) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))
✓	87.0%	#s(approx (/ (* x 1) (exp (* (neg y) y))) (fma.f64 y (.f64 x (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x))
	91.2%	#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 y y))) (.f64 y y) #s(literal 1 binary64)) (.f64 (*.f64 x y) y) x))
	91.2%	#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 (.f64 y y) (.f64 x (.f64 y y))) (.f64 (fma.f64 y y #s(literal 1 binary64)) x)))
	92.0%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 y y))) (.f64 y y) #s(literal 1 binary64)) y) (.f64 x y) x))
✓	92.4%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x y) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y) y) y y) x))
	87.0%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x y) (fma.f64 (.f64 (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) y) y y) x))
	91.2%	#s(approx (* x (exp (* y y))) (fma.f64 y (fma.f64 (.f64 x (.f64 y y)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y) (*.f64 x y)) x))
✓	94.6%	#s(approx (* x (exp (* y y))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) x))
	94.2%	#s(approx (* x (exp (* y y))) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y) y #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
✓	72.0%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (fma.f64 (*.f64 y x) y x)))

Compiler

Compiled 1 114 to 378 computations (66.1% saved)

regimes127.0ms (1.9%)

Memory

-37.4MiB live, 74.7MiB allocated; 104ms collecting garbage

Counts

29 → 1

Calls

Call 1

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

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

Calls

5 calls:

77.0ms	x
29.0ms	(*.f64 y y)
8.0ms	y
7.0ms	(.f64 x (exp.f64 (.f64 y y)))
5.0ms	(exp.f64 (*.f64 y y))

Results

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

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes65.0ms (1%)

Memory

19.7MiB live, 65.0MiB allocated; 4ms collecting garbage

Counts

27 → 1

Calls

Call 1

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

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

Calls

5 calls:

37.0ms	(exp.f64 (*.f64 y y))
7.0ms	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	`(*.f64 y y)`
100.0%	1	`(exp.f64 (*.f64 y y))`
100.0%	1	`(.f64 x (exp.f64 (.f64 y y)))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes42.0ms (0.6%)

Memory

-5.4MiB live, 90.3MiB allocated; 14ms collecting garbage

Counts

26 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
94.6%	1	`(*.f64 y y)`
94.6%	1	`(exp.f64 (*.f64 y y))`
94.6%	1	`(.f64 x (exp.f64 (.f64 y y)))`
94.6%	1	`x`
94.6%	1	`y`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes36.0ms (0.5%)

Memory

22.3MiB live, 112.4MiB allocated; 6ms collecting garbage

Counts

25 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
94.6%	1	`(*.f64 y y)`
94.6%	1	`(exp.f64 (*.f64 y y))`
94.6%	1	`(.f64 x (exp.f64 (.f64 y y)))`
94.6%	1	`x`
94.6%	1	`y`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes22.0ms (0.3%)

Memory

7.5MiB live, 53.8MiB allocated; 2ms collecting garbage

Counts

15 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

6.0ms	y
5.0ms	x
4.0ms	(.f64 x (exp.f64 (.f64 y y)))
4.0ms	(*.f64 y y)
3.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
94.2%	1	`(*.f64 y y)`
94.2%	1	`(exp.f64 (*.f64 y y))`
94.2%	1	`(.f64 x (exp.f64 (.f64 y y)))`
94.2%	1	`x`
94.2%	1	`y`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes37.0ms (0.5%)

Memory

-27.8MiB live, 25.3MiB allocated; 6ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

25.0ms	y
3.0ms	x
3.0ms	(*.f64 y y)
3.0ms	(.f64 x (exp.f64 (.f64 y y)))
2.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
88.5%	1	`(exp.f64 (*.f64 y y))`
88.5%	1	`(.f64 x (exp.f64 (.f64 y y)))`
88.5%	1	`(*.f64 y y)`
88.5%	1	`x`
88.5%	1	`y`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes13.0ms (0.2%)

Memory

21.7MiB live, 21.7MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
87.0%	1	`(.f64 x (exp.f64 (.f64 y y)))`
87.0%	1	`(*.f64 y y)`
87.0%	1	`(exp.f64 (*.f64 y y))`
87.0%	1	`x`
87.0%	1	`y`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes25.0ms (0.4%)

Memory

-25.9MiB live, 19.6MiB allocated; 4ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

18.0ms	y
2.0ms	x
2.0ms	(*.f64 y y)
2.0ms	(.f64 x (exp.f64 (.f64 y y)))
1.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
79.3%	1	`(.f64 x (exp.f64 (.f64 y y)))`
79.3%	1	`(exp.f64 (*.f64 y y))`
79.3%	1	`(*.f64 y y)`
79.3%	1	`y`
79.3%	1	`x`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes6.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	x
1.0ms	y
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
72.0%	1	`(*.f64 y y)`
72.0%	1	`(exp.f64 (*.f64 y y))`
72.0%	1	`(.f64 x (exp.f64 (.f64 y y)))`
72.0%	1	`y`
72.0%	1	`x`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes5.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	x
1.0ms	y
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
51.4%	1	`(*.f64 y y)`
51.4%	1	`x`
51.4%	1	`(exp.f64 (*.f64 y y))`
51.4%	1	`(.f64 x (exp.f64 (.f64 y y)))`
51.4%	1	`y`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify58.0ms (0.9%)

Memory

-10.2MiB live, 76.6MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	226
1	115	225
2	338	225
3	1636	221
4	7104	221

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations1.3s (19.1%)

Memory

-6.9MiB live, 1 244.3MiB allocated; 217ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	688
1	559	661
2	2001	631
3	6869	631
0	8175	583
0	97	334
1	334	333
2	1277	314
3	4536	314
0	8213	284
0	43	270
0	72	268
1	270	257
2	2099	257
0	8505	248
0	33	97
1	127	97
2	492	91
3	2193	89
4	4804	89
0	8100	77
0	24	118
0	40	114
1	143	113
2	1007	113
0	8317	113
0	5	13
0	8	13
1	20	13
2	83	13
0	501	13

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

Compiler

Compiled 225 to 64 computations (71.6% saved)

preprocess104.0ms (1.5%)

Memory

4.5MiB live, 96.0MiB allocated; 12ms collecting garbage

Remove

(negabs x)

(abs y)

Compiler

Compiled 558 to 220 computations (60.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample976.0ms (14.4%)

explain84.0ms (1.2%)

preprocess219.0ms (3.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify287.0ms (4.2%)

localize16.0ms (0.2%)

series4.0ms (0.1%)

simplify239.0ms (3.5%)

rewrite72.0ms (1.1%)

eval92.0ms (1.4%)

prune2.0ms (0%)

simplify173.0ms (2.6%)

localize76.0ms (1.1%)

series40.0ms (0.6%)

simplify164.0ms (2.4%)

rewrite266.0ms (3.9%)

eval75.0ms (1.1%)

prune15.0ms (0.2%)

simplify169.0ms (2.5%)

localize210.0ms (3.1%)

series71.0ms (1%)

simplify233.0ms (3.4%)

rewrite286.0ms (4.2%)

eval265.0ms (3.9%)

prune33.0ms (0.5%)

simplify155.0ms (2.3%)

localize122.0ms (1.8%)

series22.0ms (0.3%)

simplify186.0ms (2.7%)

rewrite248.0ms (3.7%)

eval91.0ms (1.3%)

prune40.0ms (0.6%)

regimes127.0ms (1.9%)

regimes65.0ms (1%)

regimes42.0ms (0.6%)

regimes36.0ms (0.5%)

regimes22.0ms (0.3%)

regimes37.0ms (0.5%)

regimes13.0ms (0.2%)

regimes25.0ms (0.4%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

simplify58.0ms (0.9%)

derivations1.3s (19.1%)

preprocess104.0ms (1.5%)

end0.0ms (0%)

Profiling