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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample938.0ms (12%)

Memory

15.5MiB live, 1 207.5MiB allocated

Samples

619.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 285.0ms

ival-mult: 177.0ms (62.1% of total)

ival-exp: 98.0ms (34.4% of total)

ival-true: 6.0ms (2.1% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain87.0ms (1.1%)

Memory

4.0MiB live, 149.4MiB allocated

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

27.0ms

512×

valid

Compiler

Compiled 40 to 19 computations (52.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 9.0ms (64.2% of total)

ival-exp: 4.0ms (28.5% of total)

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

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

preprocess418.0ms (5.4%)

Memory

-0.9MiB live, 406.7MiB allocated

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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify183.0ms (2.3%)

Memory

-20.7MiB live, 256.2MiB allocated

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

37.6MiB live, 37.6MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

12.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-mult: 3.0ms (53.7% of total)

ival-exp: 2.0ms (35.8% of total)

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

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

series9.0ms (0.1%)

Memory

-50.5MiB live, 6.9MiB allocated

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
5.0ms	x	@	0	((* x (exp (* y y))) (exp (* y y)) (* y y))
1.0ms	y	@	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))

simplify377.0ms (4.8%)

Memory

47.3MiB live, 233.3MiB allocated

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)

rewrite86.0ms (1.1%)

Memory

-10.2MiB live, 35.1MiB allocated

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))))

eval8.0ms (0.1%)

Memory: 12.5MiB live, 12.5MiB allocated
Compiler: Compiled 1 094 to 230 computations (79% saved)

prune61.0ms (0.8%)

Memory

-34.9MiB live, 7.4MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	4	71

Accuracy

100.0%

Counts

71 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
▶	82.6%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
▶	53.1%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
▶	94.4%	#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 50 to 34 computations (32% saved)

simplify281.0ms (3.6%)

Memory

7.4MiB live, 164.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score
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	19	116
0	30	116
1	66	116
2	253	116
3	1520	116
4	5841	116
0	8167	112

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)

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)

localize184.0ms (2.4%)

Memory

-9.8MiB live, 84.0MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y y #s(literal 1 binary64))
accuracy	0.0	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
accuracy	13.80430690628966	#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
accuracy	0.0	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
accuracy	30.164441630247918	#s(approx (exp (* y y)) #s(literal 1 binary64))
accuracy	0.06640625	(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
accuracy	0.24193340426700027	(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	3.844823622033461	#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	8.860881258238612	(.f64 (.f64 y y) x)

Samples

174.0ms

256×

valid

Compiler

Compiled 92 to 18 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-mult: 84.0ms (51.7% of total)

const: 72.0ms (44.3% of total)

ival-add: 5.0ms (3.1% of total)

ival-exp: 2.0ms (1.2% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

27.4MiB live, 27.4MiB allocated

Counts

10 → 23

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

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))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(pow y 2)
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
1/2
(+ 1/2 (* 1/6 (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))))))
(exp (pow y 2))
(* (pow y 2) (+ 1 (/ 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
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) (+ (* 1/6 (* y y)) 1/2))
2.0ms	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) (+ (* 1/6 (* y y)) 1/2))
2.0ms	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) (+ (* 1/6 (* y y)) 1/2))
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) (+ (* 1/6 (* y y)) 1/2))
1.0ms	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) (+ (* 1/6 (* y y)) 1/2))

simplify282.0ms (3.6%)

Memory

-34.7MiB live, 296.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	239
1	225	239
2	848	222
3	3775	220
0	8251	198

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

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

rewrite227.0ms (2.9%)

Memory

23.2MiB live, 208.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	95
0	30	95
1	118	95
2	910	95
0	8711	95

Stop Event

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

Counts

10 → 195

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

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

eval91.0ms (1.2%)

Memory: 10.2MiB live, 53.9MiB allocated
Compiler: Compiled 10 005 to 1 027 computations (89.7% saved)

prune10.0ms (0.1%)

Memory

23.7MiB live, 23.7MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	240	7	247
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	241	10	251

Accuracy

100.0%

Counts

251 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	82.6%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
✓	53.1%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
	94.0%	#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)))
▶	95.5%	#s(approx (* x (exp (* 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)) (.f64 y y)) x x))
▶	94.2%	#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))
▶	88.3%	#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))
	94.0%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 y y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) x) x))
▶	94.7%	#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))
▶	94.4%	#s(approx (* x (exp (* y y))) (fma.f64 y (.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)) x)) x))

Compiler

Compiled 403 to 236 computations (41.4% saved)

simplify334.0ms (4.3%)

Memory

-7.2MiB live, 239.8MiB allocated

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	450
0	66	450
1	147	450
2	572	441
3	3607	441
0	8062	424

Stop Event

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

Calls

Call 1

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

localize102.0ms (1.3%)

Memory

-21.7MiB live, 168.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y)
accuracy	0.06640625	(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
accuracy	0.4762718631960735	(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	3.844823622033461	#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	0.04296875	(fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64))
accuracy	0.06640625	(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
accuracy	2.132334984131913	(.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)) x)
accuracy	3.844823622033461	#s(approx (* x (exp (* y y))) (fma.f64 y (.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)) x)) x))
accuracy	0.24193340426700027	(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	3.844823622033461	#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	8.860881258238612	(.f64 (.f64 y y) x)
accuracy	32.04818188773543	#s(approx (+ (* 1/6 (* y y)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 y y)))
accuracy	0.24193340426700027	(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)
accuracy	3.844823622033461	#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))
accuracy	8.860881258238612	(.f64 (.f64 y y) x)
accuracy	29.856128056034688	#s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64))
accuracy	0.04296875	(fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64))
accuracy	0.06640625	(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
accuracy	0.9559357052082459	(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)) x x)
accuracy	3.844823622033461	#s(approx (* x (exp (* 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)) (.f64 y y)) x x))

Samples

70.0ms

256×

valid

Compiler

Compiled 363 to 31 computations (91.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 27.0ms (64.2% of total)

ival-add: 8.0ms (19% of total)

const: 5.0ms (11.9% of total)

ival-exp: 2.0ms (4.8% of total)

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

exact: 0.0ms (0% of total)

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

series40.0ms (0.5%)

Memory

-5.7MiB live, 39.6MiB allocated

Counts

22 → 56

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	((* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) x) 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) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* y (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x)) (* x (exp (* y y))) (+ (* y (* y (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x))) x) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (+ (* (* (* (+ (* 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) (* x y) (+ (* 1/6 (* y y)) 1/2) (+ (* 1/6 (* y y)) 1/2) (+ (* 1/6 (* y y)) 1/2) (* (+ (* 1/6 (* y y)) 1/2) y))
4.0ms	x	@	-inf	((* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) x) 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) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* y (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x)) (* x (exp (* y y))) (+ (* y (* y (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x))) x) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (+ (* (* (* (+ (* 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) (* x y) (+ (* 1/6 (* y y)) 1/2) (+ (* 1/6 (* y y)) 1/2) (+ (* 1/6 (* y y)) 1/2) (* (+ (* 1/6 (* y y)) 1/2) y))
3.0ms	x	@	inf	((* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) x) 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) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* y (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x)) (* x (exp (* y y))) (+ (* y (* y (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x))) x) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (+ (* (* (* (+ (* 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) (* x y) (+ (* 1/6 (* y y)) 1/2) (+ (* 1/6 (* y y)) 1/2) (+ (* 1/6 (* y y)) 1/2) (* (+ (* 1/6 (* y y)) 1/2) y))
3.0ms	y	@	inf	((* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) x) 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) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* y (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x)) (* x (exp (* y y))) (+ (* y (* y (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x))) x) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (+ (* (* (* (+ (* 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) (* x y) (+ (* 1/6 (* y y)) 1/2) (+ (* 1/6 (* y y)) 1/2) (+ (* 1/6 (* y y)) 1/2) (* (+ (* 1/6 (* y y)) 1/2) y))
3.0ms	y	@	-inf	((* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) x) 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) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* y (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x)) (* x (exp (* y y))) (+ (* y (* y (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x))) x) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (+ (* (* (* (+ (* 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) (* x y) (+ (* 1/6 (* y y)) 1/2) (+ (* 1/6 (* y y)) 1/2) (+ (* 1/6 (* y y)) 1/2) (* (+ (* 1/6 (* y y)) 1/2) y))

simplify136.0ms (1.7%)

Memory

40.4MiB live, 270.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	663
1	464	641
2	1730	616
3	5539	616
0	8190	571

Stop Event

1×	iter limit
1×	node limit

Counts

56 → 54

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

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

rewrite283.0ms (3.6%)

Memory

-8.8MiB live, 468.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	343
0	66	343
1	262	334
2	2194	334
0	8619	325

Stop Event

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

Counts

22 → 652

Calls

Call 1

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

Outputs
(.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)) (neg.f64 y)) (neg.f64 y))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) (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 (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)
(.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 y))
(.f64 (.f64 y y) (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 (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 (.f64 (.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 #s(literal 1 binary64) (.f64 y y))) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)) (.f64 (.f64 y y) (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y))) (.f64 (.f64 (.f64 y y) #s(literal 1 binary64)) (.f64 (.f64 y y) #s(literal 1 binary64)))) (-.f64 (.f64 (.f64 y y) (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)) (.f64 (*.f64 y y) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) #s(literal 1 binary64)) (.f64 (.f64 y y) #s(literal 1 binary64))) (.f64 (.f64 (.f64 y y) (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)) (.f64 (.f64 y y) (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)))) (-.f64 (.f64 (.f64 y y) #s(literal 1 binary64)) (.f64 (.f64 y y) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 #s(literal 1 binary64) (.f64 y y)))) (-.f64 (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) (pow.f64 y #s(literal 3 binary64))) (*.f64 y y)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 9 binary64)))) (fma.f64 (.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) (pow.f64 y #s(literal 3 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 y y) (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 y y) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 y y) (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)) (.f64 (.f64 y y) (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)) (-.f64 (.f64 (.f64 (.f64 y y) #s(literal 1 binary64)) (.f64 (.f64 y y) #s(literal 1 binary64))) (.f64 (.f64 (.f64 y y) (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)) (.f64 (.f64 y y) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 y y) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 y y) (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 y y) #s(literal 1 binary64)) (.f64 (.f64 y y) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)) (.f64 (.f64 y y) (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y))) (.f64 (.f64 (.f64 y y) #s(literal 1 binary64)) (.f64 (.f64 y y) (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (.f64 y y))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) (pow.f64 y #s(literal 3 binary64))) (.f64 y y)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (pow.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 9 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (.f64 y y) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) (pow.f64 y #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)) (.f64 y (neg.f64 y))) y)) (neg.f64 (-.f64 (.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 (neg.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 y (-.f64 y (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (.f64 (pow.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))))))
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(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 y y))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)))))
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(/.f64 (neg.f64 (.f64 (.f64 y y) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 y y) (fma.f64 (pow.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)) (.f64 y (neg.f64 y))) y) (-.f64 (.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 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (fma.f64 y (-.f64 y (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (.f64 (pow.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 y y)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y) #s(literal 1 binary64)))
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(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 #s(literal 1/2 binary64) y) (.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) y))
(+.f64 (.f64 y (.f64 (.f64 y y) #s(literal 1/6 binary64))) (.f64 y #s(literal 1/2 binary64)))
(+.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y (.f64 (.f64 y y) #s(literal 1/6 binary64))))

eval246.0ms (3.1%)

Memory: 15.5MiB live, 245.5MiB allocated
Compiler: Compiled 43 047 to 3 887 computations (91% saved)

prune49.0ms (0.6%)

Memory

-1.2MiB live, 90.7MiB allocated

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	891	10	901
Fresh	1	1	2
Picked	3	2	5
Done	0	3	3
Total	895	16	911

Accuracy

100.0%

Counts

911 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	82.6%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
✓	53.1%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
	94.0%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) (.f64 (.f64 y y) (.f64 x y)) (fma.f64 (.f64 x y) y x)))
▶	95.3%	#s(approx (* x (exp (* y y))) (fma.f64 (.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)) x x))
	91.6%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y)) x x))
▶	89.1%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) y) (.f64 x y) x))
▶	91.6%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) y) (.f64 y y)) x (fma.f64 (.f64 x y) y x)))
✓	94.2%	#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))
✓	88.3%	#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))
	93.8%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 x (.f64 y y)) (.f64 y y)) #s(approx (+ (* 1/6 (* y y)) 1/2) (.f64 (.f64 y y) #s(literal 1/6 binary64))) (fma.f64 (*.f64 x y) y x)))
	94.0%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 y y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) x) x))
	94.6%	#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))
▶	74.6%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x))
	88.3%	#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 (.f64 x y) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
▶	94.2%	#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 y (.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)) x)) x))

Compiler

Compiled 715 to 421 computations (41.1% saved)

simplify251.0ms (3.2%)

Memory

-25.2MiB live, 190.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) y)
cost-diff	0	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) y) (.f64 y y)) x (fma.f64 (.f64 x y) y x)))
cost-diff	2	(fma.f64 (.f64 (.f64 (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) y) (.f64 y y)) x (fma.f64 (.f64 x y) y x))
cost-diff	4	(.f64 (.f64 (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) y) (*.f64 y y))
cost-diff	0	(.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)) x)
cost-diff	0	(fma.f64 y (.f64 y (.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)) x)) x)
cost-diff	0	#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 y (.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)) x)) x))
cost-diff	2	(.f64 y (.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)) x))
cost-diff	0	(fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
cost-diff	0	(fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) y) (.f64 x y) x)
cost-diff	0	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) y) (.f64 x y) x))
cost-diff	2	(.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)
cost-diff	0	(*.f64 x y)
cost-diff	0	(fma.f64 (*.f64 x y) y x)
cost-diff	0	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y 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	(fma.f64 (.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)) x x)
cost-diff	0	#s(approx (* x (exp (* y y))) (fma.f64 (.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)) x x))
cost-diff	2	(.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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	508
0	59	500
1	123	498
2	404	487
3	2103	485
4	5634	485
0	8255	452

Stop Event

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

Calls

Call 1

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

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

localize203.0ms (2.6%)

Memory

-8.8MiB live, 129.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0625	(fma.f64 (*.f64 x y) y x)
accuracy	0.9559357052082459	(fma.f64 (.f64 (.f64 (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) y) (.f64 y y)) x (fma.f64 (.f64 x y) y x))
accuracy	3.844823622033461	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) y) (.f64 y y)) x (fma.f64 (.f64 x y) y x)))
accuracy	29.856128056034688	#s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64))
accuracy	0.15625	(.f64 (.f64 y y) #s(literal 1/6 binary64))
accuracy	2.132334984131913	(.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)) x)
accuracy	3.844823622033461	#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 y (.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)) x)) x))
accuracy	32.04818188773543	#s(approx (+ (* 1/6 (* y y)) 1/2) (.f64 (.f64 y y) #s(literal 1/6 binary64)))
accuracy	0.04296875	(fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy	0.4762718631960735	(fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) y) (.f64 x y) x)
accuracy	3.844823622033461	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) y) (.f64 x y) x))
accuracy	29.856128056034688	#s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 x y)
accuracy	0.0625	(fma.f64 (*.f64 x y) y x)
accuracy	16.24642318414434	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x))
accuracy	0.15625	(.f64 (.f64 y y) #s(literal 1/6 binary64))
accuracy	0.9559357052082459	(fma.f64 (.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)) x x)
accuracy	3.844823622033461	#s(approx (* x (exp (* y y))) (fma.f64 (.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)) x x))
accuracy	32.04818188773543	#s(approx (+ (* 1/6 (* y y)) 1/2) (.f64 (.f64 y y) #s(literal 1/6 binary64)))

Samples

153.0ms

256×

valid

Compiler

Compiled 348 to 33 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-mult: 101.0ms (87.5% of total)

ival-add: 8.0ms (6.9% of total)

const: 4.0ms (3.5% of total)

ival-exp: 2.0ms (1.7% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.3%)

Memory

23.0MiB live, 23.0MiB allocated

Counts

22 → 59

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	((* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) x) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* x (exp (* y y))) (+ (* (* x y) y) x) (* x y) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) y) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) y) (* x y)) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x)) (* x (exp (* y y))) (+ (* y (* y (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x))) x) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) (+ (* (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) x) (+ (* (* x y) y) x)) (* x (exp (* y y))) (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (+ (* 1/6 (* y y)) 1/2) (* (* y y) 1/6) (+ (* 1/6 (* y y)) 1/2))
4.0ms	x	@	-inf	((* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) x) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* x (exp (* y y))) (+ (* (* x y) y) x) (* x y) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) y) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) y) (* x y)) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x)) (* x (exp (* y y))) (+ (* y (* y (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x))) x) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) (+ (* (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) x) (+ (* (* x y) y) x)) (* x (exp (* y y))) (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (+ (* 1/6 (* y y)) 1/2) (* (* y y) 1/6) (+ (* 1/6 (* y y)) 1/2))
3.0ms	x	@	inf	((* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) x) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* x (exp (* y y))) (+ (* (* x y) y) x) (* x y) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) y) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) y) (* x y)) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x)) (* x (exp (* y y))) (+ (* y (* y (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x))) x) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) (+ (* (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) x) (+ (* (* x y) y) x)) (* x (exp (* y y))) (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (+ (* 1/6 (* y y)) 1/2) (* (* y y) 1/6) (+ (* 1/6 (* y y)) 1/2))
2.0ms	y	@	-inf	((* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) x) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* x (exp (* y y))) (+ (* (* x y) y) x) (* x y) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) y) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) y) (* x y)) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x)) (* x (exp (* y y))) (+ (* y (* y (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x))) x) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) (+ (* (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) x) (+ (* (* x y) y) x)) (* x (exp (* y y))) (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (+ (* 1/6 (* y y)) 1/2) (* (* y y) 1/6) (+ (* 1/6 (* y y)) 1/2))
2.0ms	y	@	inf	((* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) x) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* x (exp (* y y))) (+ (* (* x y) y) x) (* x y) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) y) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) y) (* x y)) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x)) (* x (exp (* y y))) (+ (* y (* y (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x))) x) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) (+ (* (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) x) (+ (* (* x y) y) x)) (* x (exp (* y y))) (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (+ (* 1/6 (* y y)) 1/2) (* (* y y) 1/6) (+ (* 1/6 (* y y)) 1/2))

simplify183.0ms (2.3%)

Memory

9.2MiB live, 192.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	692
1	467	692
2	1732	645
3	5774	645
0	8180	598

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 57

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

rewrite267.0ms (3.4%)

Memory

-25.9MiB live, 408.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	411
0	59	411
1	220	405
2	1640	399
0	8274	377

Stop Event

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

Counts

22 → 443

Calls

Call 1

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

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

eval115.0ms (1.5%)

Memory: 32.9MiB live, 206.2MiB allocated
Compiler: Compiled 33 111 to 2 355 computations (92.9% saved)

prune51.0ms (0.7%)

Memory

-19.4MiB live, 84.3MiB allocated

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	546	5	551
Fresh	2	4	6
Picked	2	3	5
Done	0	5	5
Total	550	17	567

Accuracy

100.0%

Counts

567 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	82.6%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
✓	53.1%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
	94.0%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) (.f64 (.f64 y y) (.f64 x y)) (fma.f64 (.f64 x y) y x)))
	91.6%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y)) x x))
✓	89.1%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) y) (.f64 x y) x))
	95.3%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (.f64 (.f64 y #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)) y) y) x x))
	91.6%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) y) x x))
	89.1%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) x) y x))
✓	91.6%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) y) (.f64 y y)) x (fma.f64 (.f64 x y) y x)))
✓	94.2%	#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))
✓	88.3%	#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))
	93.8%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 x (.f64 y y)) (.f64 y y)) #s(approx (+ (* 1/6 (* y y)) 1/2) (.f64 (.f64 y y) #s(literal 1/6 binary64))) (fma.f64 (*.f64 x y) y x)))
	88.3%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 x y) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) y x))
	94.0%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 y y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) x) x))
✓	94.2%	#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 y (.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)) x)) x))
	25.5%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* x y) y) x) (.f64 (.f64 x y) y)))

Compiler

Compiled 1 096 to 377 computations (65.6% saved)

regimes73.0ms (0.9%)

Memory

7.6MiB live, 52.9MiB allocated

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

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

Calls

5 calls:

45.0ms	(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)

regimes36.0ms (0.5%)

Memory

16.9MiB live, 60.2MiB allocated

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

Calls

5 calls:

11.0ms	(.f64 x (exp.f64 (.f64 y y)))
7.0ms	x
7.0ms	y
6.0ms	(*.f64 y y)
5.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
95.5%	1	`(*.f64 y y)`
95.5%	1	`(exp.f64 (*.f64 y y))`
95.5%	1	`(.f64 x (exp.f64 (.f64 y y)))`
95.5%	1	`x`
95.5%	1	`y`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes41.0ms (0.5%)

Memory

6.8MiB live, 57.0MiB allocated

Counts

21 → 1

Calls

Call 1

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

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

Calls

5 calls:

18.0ms	(.f64 x (exp.f64 (.f64 y y)))
6.0ms	x
6.0ms	y
5.0ms	(*.f64 y y)
4.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
95.3%	1	`(*.f64 y y)`
95.3%	1	`y`
95.3%	1	`(exp.f64 (*.f64 y y))`
95.3%	1	`(.f64 x (exp.f64 (.f64 y y)))`
95.3%	1	`x`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes25.0ms (0.3%)

Memory

2.2MiB live, 47.6MiB allocated

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

Calls

5 calls:

8.0ms	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
94.6%	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)

regimes20.0ms (0.3%)

Memory

4.7MiB live, 49.8MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes70.0ms (0.9%)

Memory

-25.2MiB live, 84.5MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

5 calls:

55.0ms	(*.f64 y y)
5.0ms	x
3.0ms	y
3.0ms	(.f64 x (exp.f64 (.f64 y y)))
2.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
91.6%	1	`(*.f64 y y)`
91.6%	1	`y`
91.6%	1	`(exp.f64 (*.f64 y y))`
91.6%	1	`(.f64 x (exp.f64 (.f64 y y)))`
91.6%	1	`x`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes21.0ms (0.3%)

Memory

1.9MiB live, 47.3MiB allocated

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

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

Calls

5 calls:

10.0ms	(.f64 x (exp.f64 (.f64 y y)))
3.0ms	x
3.0ms	y
2.0ms	(*.f64 y y)
2.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
89.1%	1	`x`
89.1%	1	`(*.f64 y y)`
89.1%	1	`(exp.f64 (*.f64 y y))`
89.1%	1	`(.f64 x (exp.f64 (.f64 y y)))`
89.1%	1	`y`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes16.0ms (0.2%)

Memory

-5.4MiB live, 41.9MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	y
3.0ms	x
2.0ms	(.f64 x (exp.f64 (.f64 y y)))
2.0ms	(*.f64 y y)
2.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
88.3%	1	`(exp.f64 (*.f64 y y))`
88.3%	1	`(.f64 x (exp.f64 (.f64 y y)))`
88.3%	1	`(*.f64 y y)`
88.3%	1	`y`
88.3%	1	`x`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes11.0ms (0.1%)

Memory

-21.1MiB live, 24.7MiB allocated

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
82.6%	1	`(*.f64 y y)`
82.6%	1	`(exp.f64 (*.f64 y y))`
82.6%	1	`(.f64 x (exp.f64 (.f64 y y)))`
82.6%	1	`y`
82.6%	1	`x`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes8.0ms (0.1%)

Memory

21.3MiB live, 21.3MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
74.6%	1	`x`
74.6%	1	`(exp.f64 (*.f64 y y))`
74.6%	1	`(.f64 x (exp.f64 (.f64 y y)))`
74.6%	1	`(*.f64 y y)`
74.6%	1	`y`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes6.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
74.3%	2	`(exp.f64 (*.f64 y y))`
74.3%	2	`(.f64 x (exp.f64 (.f64 y y)))`
53.1%	1	`x`
74.3%	2	`(*.f64 y y)`
74.3%	2	`y`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes8.0ms (0.1%)

Memory

-38.0MiB live, 13.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	(.f64 x (exp.f64 (.f64 y y)))
1.0ms	x
1.0ms	y
1.0ms	(*.f64 y y)
1.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
53.1%	1	`x`
53.1%	1	`(.f64 x (exp.f64 (.f64 y y)))`
53.1%	1	`(exp.f64 (*.f64 y y))`
53.1%	1	`(*.f64 y y)`
53.1%	1	`y`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch12.0ms (0.2%)

Memory

23.5MiB live, 23.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.05720844230283447	251.17202073799572

Samples

6.0ms

128×

valid

Compiler

Compiled 233 to 178 computations (23.6% saved)

Precisions

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

ival-mult: 2.0ms (60.2% of total)

ival-exp: 1.0ms (30.1% of total)

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

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

simplify52.0ms (0.7%)

Memory

5.2MiB live, 49.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	275
1	86	275
2	152	275
3	355	275
4	737	275
5	3016	275

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness1.7s (22.2%)

Memory

-40.4MiB live, 1 317.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	663
1	464	641
2	1730	616
3	5539	616
0	8190	571
0	125	692
1	467	692
2	1732	645
3	5774	645
0	8180	598
0	19	95
0	30	95
1	118	95
2	910	95
0	8711	95
0	33	97
1	127	97
2	492	91
3	2193	89
4	4804	89
0	8100	77
0	36	343
0	66	343
1	262	334
2	2194	334
0	8619	325
0	34	411
0	59	411
1	220	405
2	1640	399
0	8274	377
0	65	239
1	225	239
2	848	222
3	3775	220
0	8251	198

Stop Event

1×	fuel
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×	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 681 to 340 computations (50.1% saved)

preprocess126.0ms (1.6%)

Memory

21.1MiB live, 167.1MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 622 to 196 computations (68.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample938.0ms (12%)

explain87.0ms (1.1%)

preprocess418.0ms (5.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify183.0ms (2.3%)

localize16.0ms (0.2%)

series9.0ms (0.1%)

simplify377.0ms (4.8%)

rewrite86.0ms (1.1%)

eval8.0ms (0.1%)

prune61.0ms (0.8%)

simplify281.0ms (3.6%)

localize184.0ms (2.4%)

series10.0ms (0.1%)

simplify282.0ms (3.6%)

rewrite227.0ms (2.9%)

eval91.0ms (1.2%)

prune10.0ms (0.1%)

simplify334.0ms (4.3%)

localize102.0ms (1.3%)

series40.0ms (0.5%)

simplify136.0ms (1.7%)

rewrite283.0ms (3.6%)

eval246.0ms (3.1%)

prune49.0ms (0.6%)

simplify251.0ms (3.2%)

localize203.0ms (2.6%)

series20.0ms (0.3%)

simplify183.0ms (2.3%)

rewrite267.0ms (3.4%)

eval115.0ms (1.5%)

prune51.0ms (0.7%)

regimes73.0ms (0.9%)

regimes36.0ms (0.5%)

regimes41.0ms (0.5%)

regimes25.0ms (0.3%)

regimes20.0ms (0.3%)

regimes70.0ms (0.9%)

regimes21.0ms (0.3%)

regimes16.0ms (0.2%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch12.0ms (0.2%)

simplify52.0ms (0.7%)

soundness1.7s (22.2%)

preprocess126.0ms (1.6%)

end0.0ms (0%)

Profiling