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

0.4MiB live, 0.4MiB 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)

sample18.8s (71%)

Memory

20.5MiB live, 571.9MiB allocated

Samples

9.5s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 324.0ms

ival-mult: 258.0ms (79.7% of total)

ival-exp: 58.0ms (17.9% of total)

ival-true: 5.0ms (1.5% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain296.0ms (1.1%)

Memory

-15.5MiB live, 108.3MiB 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

23.0ms

512×

valid

Compiler

Compiled 42 to 19 computations (54.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 7.0ms (63.3% of total)

ival-exp: 4.0ms (36.2% of total)

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

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

preprocess160.0ms (0.6%)

Memory

20.9MiB live, 59.5MiB allocated

Algorithm

1×	egg-herbie

Rules

88×	`exp-prod`
64×	`distribute-lft-neg-in`
64×	`div-sub`
60×	`associate-r`
54×	`distribute-neg-frac2`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 8 to 5 computations (37.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify4.0ms (0%)

Memory

6.3MiB live, 6.3MiB 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)))

Rules

6×	`lower-*.f32`
4×	`lift-*.f64`
4×	`lower-exp.f32`
2×	`*-commutative`
2×	`lift-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize166.0ms (0.6%)

Memory

-11.5MiB live, 27.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0	(exp.f64 (*.f64 y y))
accuracy	0.00390625	(.f64 x (exp.f64 (.f64 y y)))

Samples

162.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-mult: 3.0ms (59.3% of total)

ival-exp: 2.0ms (39.5% of total)

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

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

series5.0ms (0%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

3 → 48

Calls

Call 1

Inputs
#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())
#s(alt (exp.f64 (.f64 y y)) (patch (exp.f64 (.f64 y y)) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())

Inputs

#s(alt (*.f64 x (exp.f64 (*.f64 y y))) (patch (*.f64 x (exp.f64 (*.f64 y y))) #<representation binary64>) () ())

#s(alt (exp.f64 (*.f64 y y)) (patch (exp.f64 (*.f64 y y)) #<representation binary64>) () ())

#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 y) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))) (taylor 0 y) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (exp.f64 (.f64 y y)) (patch (exp.f64 (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (exp.f64 (.f64 y y)) (patch (exp.f64 (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) (taylor 0 y) (#s(alt (exp.f64 (.f64 y y)) (patch (exp.f64 (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) (taylor 0 y) (#s(alt (exp.f64 (.f64 y y)) (patch (exp.f64 (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf y) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf y) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf y) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf y) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (exp (pow y 2)) (taylor inf y) (#s(alt (exp.f64 (.f64 y y)) (patch (exp.f64 (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (exp (pow y 2)) (taylor inf y) (#s(alt (exp.f64 (.f64 y y)) (patch (exp.f64 (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (exp (pow y 2)) (taylor inf y) (#s(alt (exp.f64 (.f64 y y)) (patch (exp.f64 (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (exp (pow y 2)) (taylor inf y) (#s(alt (exp.f64 (.f64 y y)) (patch (exp.f64 (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf y) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf y) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf y) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf y) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (exp (pow y 2)) (taylor -inf y) (#s(alt (exp.f64 (.f64 y y)) (patch (exp.f64 (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (exp (pow y 2)) (taylor -inf y) (#s(alt (exp.f64 (.f64 y y)) (patch (exp.f64 (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (exp (pow y 2)) (taylor -inf y) (#s(alt (exp.f64 (.f64 y y)) (patch (exp.f64 (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (exp (pow y 2)) (taylor -inf y) (#s(alt (exp.f64 (.f64 y y)) (patch (exp.f64 (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((* x (exp (* y y))) (exp (* y y)) (* y y))
1.0ms	y	@	inf	((* x (exp (* y y))) (exp (* y y)) (* y y))
1.0ms	y	@	0	((* x (exp (* y y))) (exp (* y y)) (* y y))
1.0ms	x	@	-inf	((* x (exp (* y y))) (exp (* y y)) (* y y))
0.0ms	y	@	-inf	((* x (exp (* y y))) (exp (* y y)) (* y y))

simplify306.0ms (1.2%)

Memory

-14.5MiB live, 41.5MiB allocated

Algorithm

1×	egg-herbie

Rules

2 706×	`lower-fma.f64`
2 706×	`lower-fma.f32`
1 166×	`lower-*.f64`
1 166×	`lower-*.f32`
792×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	272
1	95	272
2	276	266
3	744	264
4	974	264
5	1146	264
6	1303	264
7	1421	264
8	1421	262
9	1737	262
10	1769	262
11	1770	262
12	1819	262
0	1819	250

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 47

Calls

Call 1

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

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

rewrite84.0ms (0.3%)

Memory

-19.6MiB live, 57.5MiB allocated

Rules

178×	`frac-add`
148×	`associate-r`
134×	`associate-l`
108×	`associate-*r/`
102×	`frac-times`

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

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

Counts

3 → 7

Calls

Call 1

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

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

eval7.0ms (0%)

Memory: 15.0MiB live, 15.0MiB allocated
Compiler: Compiled 393 to 32 computations (91.9% saved)

prune7.0ms (0%)

Memory

16.6MiB live, 16.6MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	48	6	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	6	55

Accuracy

100.0%

Counts

55 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(*.f64 x (exp.f64 y))
	96.3%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
▶	93.3%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))))
▶	85.2%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
▶	57.4%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
▶	90.3%	#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (*.f64 y y) x))

Compiler

Compiled 148 to 76 computations (48.6% saved)

simplify36.0ms (0.1%)

Memory

-24.4MiB live, 15.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

432×	`lower-*.f32`
420×	`lower-*.f64`
406×	`lower-fma.f32`
396×	`lower-fma.f64`
260×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	161
0	39	161
1	66	161
2	102	161
3	201	161
4	374	156
5	417	156
6	457	156
7	457	156
0	457	151

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize64.0ms (0.2%)

Memory

0.6MiB live, 44.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0.00390625	(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))))
accuracy	0.03515625	(fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))
accuracy	6.13672340024048	#s(approx (exp (* y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)))
accuracy	0	(*.f64 y y)
accuracy	0.03515625	(fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (*.f64 y y) x)
accuracy	6.195947653614455	#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (*.f64 y y) x))
accuracy	7.560830397383368	(.f64 (.f64 y y) x)
accuracy	0	(fma.f64 y y #s(literal 1 binary64))
accuracy	0.00390625	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
accuracy	13.069430145400686	#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
accuracy	0.00390625	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
accuracy	27.3591179240103	#s(approx (exp (* y y)) #s(literal 1 binary64))
accuracy	0	(exp.f64 y)
accuracy	0.0078125	(*.f64 x (exp.f64 y))

Samples

46.0ms

256×

valid

Compiler

Compiled 118 to 21 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 24.0ms (72.2% of total)

ival-add: 5.0ms (15.1% of total)

ival-exp: 4.0ms (12% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Counts

16 → 288

Calls

Call 1

Inputs
#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())
#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (exp (* y y)) #s(literal 1 binary64)) (patch #s(approx (exp (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) (patch #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (.f64 y y) x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (*.f64 y y) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (.f64 y y) x) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (.f64 y y) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (exp (* y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))) (patch #s(approx (exp (* y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 y) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ x (* 1/2 (* x y))))) (taylor 0 y) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))))) (taylor 0 y) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 (* 1/2 y)))) (taylor 0 y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) (taylor 0 y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))) (taylor 0 y) (#s(alt (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (exp (* y y)) #s(literal 1 binary64)) (patch #s(approx (exp (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt #s(approx (exp (* y y)) #s(literal 1 binary64)) (patch #s(approx (exp (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) (taylor 0 y) (#s(alt #s(approx (exp (* y y)) #s(literal 1 binary64)) (patch #s(approx (exp (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) (taylor 0 y) (#s(alt #s(approx (exp (* y y)) #s(literal 1 binary64)) (patch #s(approx (exp (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))) (taylor 0 y) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) (patch #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) (patch #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) (taylor 0 y) (#s(alt #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) (patch #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) (taylor 0 y) (#s(alt #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) (patch #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (.f64 y y) x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (*.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (.f64 y y) x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (*.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2)))))) (taylor 0 y) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (.f64 y y) x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (*.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))) (taylor 0 y) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (.f64 y y) x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (*.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (.f64 y y) x) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (.f64 y y) x) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (.f64 y y) x) #<representation binary64>) () ())) ())
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#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (.f64 y y) x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (*.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (.f64 y y) x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (*.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (.f64 y y) x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (*.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (.f64 y y) x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (*.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* (pow y 2) (- (* -1/2 (pow y 2)) 1)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (.f64 y y) x) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* (pow y 2) (- (* -1/2 (pow y 2)) 1)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (.f64 y y) x) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* (pow y 2) (- (* -1/2 (pow y 2)) 1)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (.f64 y y) x) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* (pow y 2) (- (* -1/2 (pow y 2)) 1)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (.f64 y y) x) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify243.0ms (0.9%)

Memory

-20.3MiB live, 91.6MiB allocated

Algorithm

1×	egg-herbie

Rules

17 148×	`lower-fma.f64`
17 148×	`lower-fma.f32`
4 286×	`lower-*.f64`
4 286×	`lower-*.f32`
1 412×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	1950
1	289	1950
2	719	1868
3	1951	1864
4	4749	1864
0	8117	1718

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 281

Calls

Call 1

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

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

rewrite321.0ms (1.2%)

Memory

24.9MiB live, 175.8MiB allocated

Rules

12 540×	`lower-fma.f32`
12 530×	`lower-fma.f64`
6 786×	`lower-*.f32`
6 774×	`lower-*.f64`
3 752×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	144
0	39	144
1	123	144
2	792	141
0	8500	134

Stop Event

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

Counts

16 → 419

Calls

Call 1

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

Outputs
(*.f64 (exp.f64 y) x)
(*.f64 x (exp.f64 y))
(exp.f64 y)
(.f64 #s(approx (exp ( y y)) #s(literal 1 binary64)) x)
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
#s(approx (exp (* y y)) #s(literal 1 binary64))
(.f64 #s(approx (exp ( y y)) (fma.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 (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(.f64 (neg.f64 (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y #s(literal -1 binary64)))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 1 binary64) (.f64 y y))))))
(.f64 (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 1 binary64) (.f64 y y)))))
(.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 y y) y) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 (.f64 (*.f64 y y) y) y #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 y y) y) y)) (.f64 (.f64 (.f64 y y) y) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 y y) y) y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) y))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 y y) y) y)) (.f64 (.f64 (.f64 y y) y) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 1 binary64) (.f64 y y))))) (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 1 binary64) (.f64 y y))))) (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (*.f64 y y) y)))))
(/.f64 (.f64 (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 1 binary64) (.f64 y y))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (fma.f64 y y #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))))) (+.f64 (/.f64 (.f64 (.f64 (*.f64 y y) y) y) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (fma.f64 y y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (.f64 (/.f64 (.f64 (.f64 (*.f64 y y) y) y) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) y))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 y y) y) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) y) y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 y y) y) y)) (.f64 (.f64 (.f64 y y) y) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 y y) y) y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 y y) y) y))) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 y y) y) y)) (.f64 (.f64 (.f64 y y) y) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)))) (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 1 binary64) (.f64 y y)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (fma.f64 y y #s(literal -1 binary64))) (.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) y)) (-.f64 #s(literal 1 binary64) (.f64 y y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64))) (neg.f64 (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (fma.f64 y y #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(/.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(neg.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) (neg.f64 (fma.f64 y y #s(literal -1 binary64)))))
(neg.f64 (/.f64 (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (neg.f64 (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
(fma.f64 (*.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 (.f64 y y) y) (+.f64 y #s(literal 1 binary64))) (/.f64 y (-.f64 y #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 (.f64 y y) (-.f64 y #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 (.f64 (.f64 y y) y) (-.f64 y #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (*.f64 y y) y) y) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(-.f64 (/.f64 (.f64 (.f64 (*.f64 y y) y) y) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))))
(+.f64 (/.f64 (.f64 (.f64 (*.f64 y y) y) y) (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))))
(+.f64 (*.f64 y y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y y))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64) x) (*.f64 y y) x))
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(/.f64 (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 y y)) (.f64 (.f64 (.f64 y y) y) y) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) y)) y (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/512 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 y y)) (.f64 (.f64 (.f64 y y) y) y)))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) y)) y (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) y)) y) (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) y)) y)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) y)) y #s(literal -1 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 y y)) (.f64 (.f64 (.f64 y y) y) y) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 y y)) (.f64 (.f64 (.f64 y y) y) y) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) y)) y (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) y)) y #s(literal -1 binary64)) (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 y y)) (.f64 (.f64 (.f64 y y) y) y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 y y)) (.f64 (.f64 (.f64 y y) y) y) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) y)) y (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) y)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) #s(literal 1/2 binary64)))) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 y y)) (.f64 (.f64 (*.f64 y y) y) y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) y)) y #s(literal -1 binary64))) (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 y y)) (.f64 (.f64 (.f64 y y) y) y) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) y)) y (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) y)) y #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 y y)) (.f64 (.f64 (.f64 y y) y) y) #s(literal 1 binary64)) (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) y)) y (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64)))))))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) y)) y #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) y)) y) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal 1 binary64)))))
(fma.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64)))) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) y)) y) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) y)) y) (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal 1 binary64))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) y)) y) (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal 1 binary64)))))
(+.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) y) y)
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(.f64 (.f64 y y) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))

eval127.0ms (0.5%)

Memory: 13.6MiB live, 249.5MiB allocated
Compiler: Compiled 19 580 to 1 417 computations (92.8% saved)

prune134.0ms (0.5%)

Memory

-9.4MiB live, 346.2MiB allocated

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	751	12	763
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	754	15	769

Accuracy

100.0%

Counts

769 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(*.f64 x (exp.f64 y))
▶	96.3%	(.f64 x #s(approx (exp ( y y)) (fma.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) #s(literal 1 binary64))))
✓	85.2%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
	58.9%	(.f64 x #s(approx (exp ( y y)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 y y) y) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) y) y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))))
	39.6%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 1/2 binary64) y)))))
	31.9%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
✓	57.4%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
	90.6%	(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
	91.8%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) x) y x))
	52.2%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 y y) (.f64 x (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) x)) (.f64 y y)) x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (*.f64 y y) #s(literal 1/2 binary64)) x) x)) x))
	94.4%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x (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) x))
▶	90.0%	#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x))
▶	38.1%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 y x) (.f64 (.f64 (*.f64 y y) #s(literal 1/2 binary64)) y))))
▶	87.3%	#s(approx (* x (exp y)) (fma.f64 (*.f64 y x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x))
▶	65.6%	#s(approx (* x (exp y)) (fma.f64 y x x))

Compiler

Compiled 465 to 229 computations (50.8% saved)

simplify67.0ms (0.3%)

Memory

-1.0MiB live, 80.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

2 530×	`lower-fma.f32`
2 514×	`lower-fma.f64`
1 026×	`lower-*.f32`
1 010×	`lower-*.f64`
614×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	327
0	63	327
1	126	327
2	260	315
3	578	309
4	1341	309
5	1791	309
6	1970	309
7	2040	309
8	2099	309
9	2099	309
10	2138	309
11	2141	309
12	2142	309
0	2142	296

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize88.0ms (0.3%)

Memory

11.3MiB live, 177.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x)
accuracy	6.195947653614455	#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x))
accuracy	7.560830397383368	(.f64 (.f64 y y) x)
accuracy	34.21370858092323	#s(approx (+ (* 1/2 (* (* y y) x)) x) (.f64 (.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))
accuracy	0.07421875	(.f64 (.f64 (*.f64 y y) #s(literal 1/2 binary64)) y)
accuracy	2.1621658730632523	(.f64 (.f64 y x) (.f64 (.f64 (*.f64 y y) #s(literal 1/2 binary64)) y))
accuracy	6.195947653614455	#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 y x) (.f64 (.f64 (*.f64 y y) #s(literal 1/2 binary64)) y))))
accuracy	34.372201009695615	#s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 y x) (.f64 (.f64 (*.f64 y y) #s(literal 1/2 binary64)) y)))
accuracy	0.05859375	(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
accuracy	0.13671875	(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy	0.5042901085935789	(fma.f64 (*.f64 y x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x)
accuracy	8.133354103965	#s(approx (* x (exp y)) (fma.f64 (*.f64 y x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x))
accuracy	0	(fma.f64 y x x)
accuracy	21.758229681152606	#s(approx (* x (exp y)) (fma.f64 y x x))
accuracy	0.0078125	(fma.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) #s(literal 1 binary64))
accuracy	0.03515625	(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64))
accuracy	0.0859375	(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	3.068970523070829	#s(approx (exp (* y y)) (fma.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) #s(literal 1 binary64)))

Samples

67.0ms

256×

valid

Compiler

Compiled 212 to 35 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 24.0ms (56.3% of total)

ival-add: 9.0ms (21.1% of total)

const: 5.0ms (11.7% of total)

ival-exp: 4.0ms (9.4% of total)

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

exact: 0.0ms (0% of total)

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

series50.0ms (0.2%)

Memory

-4.3MiB live, 71.5MiB allocated

Counts

21 → 420

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 y) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.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) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp (* y y)) (fma.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) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.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) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp (* y y)) (fma.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) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.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) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp (* y y)) (fma.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) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))) (taylor 0 y) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.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) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp (* y y)) (fma.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) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (exp (* y y)) (fma.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) #s(literal 1 binary64))) (patch #s(approx (exp ( y y)) (fma.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) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt #s(approx (exp (* y y)) (fma.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) #s(literal 1 binary64))) (patch #s(approx (exp ( y y)) (fma.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) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) (taylor 0 y) (#s(alt #s(approx (exp (* y y)) (fma.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) #s(literal 1 binary64))) (patch #s(approx (exp ( y y)) (fma.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) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) (taylor 0 y) (#s(alt #s(approx (exp (* y y)) (fma.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) #s(literal 1 binary64))) (patch #s(approx (exp ( y y)) (fma.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) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.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) #s(literal 1 binary64)) (patch (fma.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) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (fma.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) #s(literal 1 binary64)) (patch (fma.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) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) (taylor 0 y) (#s(alt (fma.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) #s(literal 1 binary64)) (patch (fma.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) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) (taylor 0 y) (#s(alt (fma.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) #s(literal 1 binary64)) (patch (fma.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) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (* x (exp y)) (fma.f64 y x x)) (patch #s(approx (* x (exp y)) (fma.f64 y x x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt #s(approx (* x (exp y)) (fma.f64 y x x)) (patch #s(approx (* x (exp y)) (fma.f64 y x x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ x (* 1/2 (* x y))))) (taylor 0 y) (#s(alt #s(approx (* x (exp y)) (fma.f64 y x x)) (patch #s(approx (* x (exp y)) (fma.f64 y x x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))))) (taylor 0 y) (#s(alt #s(approx (* x (exp y)) (fma.f64 y x x)) (patch #s(approx (* x (exp y)) (fma.f64 y x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
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#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt #s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 y x) (.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) y)))) (patch #s(approx ( x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 y x) (.f64 (.f64 (*.f64 y y) #s(literal 1/2 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt #s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 y x) (.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) y)))) (patch #s(approx ( x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 y x) (.f64 (.f64 (*.f64 y y) #s(literal 1/2 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt #s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 y x) (.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) y)))) (patch #s(approx ( x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 y x) (.f64 (.f64 (*.f64 y y) #s(literal 1/2 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt #s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 y x) (.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) y)))) (patch #s(approx ( x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 y x) (.f64 (.f64 (*.f64 y y) #s(literal 1/2 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* (pow y 2) (- (* -1/2 (pow y 2)) 1)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 y x) (.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) y))) (patch #s(approx (+ ( (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 y x) (.f64 (.f64 (*.f64 y y) #s(literal 1/2 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* (pow y 2) (- (* -1/2 (pow y 2)) 1)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 y x) (.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) y))) (patch #s(approx (+ ( (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 y x) (.f64 (.f64 (*.f64 y y) #s(literal 1/2 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* (pow y 2) (- (* -1/2 (pow y 2)) 1)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 y x) (.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) y))) (patch #s(approx (+ ( (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 y x) (.f64 (.f64 (*.f64 y y) #s(literal 1/2 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* (pow y 2) (- (* -1/2 (pow y 2)) 1)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 y x) (.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) y))) (patch #s(approx (+ ( (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 y x) (.f64 (.f64 (*.f64 y y) #s(literal 1/2 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x (pow y 4))) (taylor -inf x) (#s(alt (.f64 (.f64 y x) (.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) y)) (patch (.f64 (.f64 y x) (.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x (pow y 4))) (taylor -inf x) (#s(alt (.f64 (.f64 y x) (.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) y)) (patch (.f64 (.f64 y x) (.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x (pow y 4))) (taylor -inf x) (#s(alt (.f64 (.f64 y x) (.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) y)) (patch (.f64 (.f64 y x) (.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x (pow y 4))) (taylor -inf x) (#s(alt (.f64 (.f64 y x) (.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) y)) (patch (.f64 (.f64 y x) (.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x)) (patch #s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x)) (patch #s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x)) (patch #s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x)) (patch #s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* (pow y 2) (- (* -1/2 (pow y 2)) 1)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x) (patch (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* (pow y 2) (- (* -1/2 (pow y 2)) 1)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x) (patch (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* (pow y 2) (- (* -1/2 (pow y 2)) 1)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x) (patch (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* (pow y 2) (- (* -1/2 (pow y 2)) 1)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x) (patch (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (pow y 2)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/2 (* (* y y) x)) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (patch #s(approx (+ ( 1/2 (* (* y y) x)) x) (.f64 (.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (pow y 2)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/2 (* (* y y) x)) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (patch #s(approx (+ ( 1/2 (* (* y y) x)) x) (.f64 (.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (pow y 2)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/2 (* (* y y) x)) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (patch #s(approx (+ ( 1/2 (* (* y y) x)) x) (.f64 (.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (pow y 2)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/2 (* (* y y) x)) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (patch #s(approx (+ ( 1/2 (* (* y y) x)) x) (.f64 (.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) (patch (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) (patch (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) (patch (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) (patch (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	y	@	inf	((* x (exp (* y y))) (exp (* y y)) (+ (* (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (* y y)) 1) (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (* x (exp y)) (+ (* y x) x) (* x (exp y)) (+ (* (* y x) (+ (* (+ (* 1/6 y) 1/2) y) 1)) x) (* y x) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp (* y y))) (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (* (* y x) (* (* (* y y) 1/2) y)) (* x (exp (* y y))) (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (+ (* 1/2 (* (* y y) x)) x) (* (* (* y y) x) 1/2) (+ (* (* y y) 1/6) 1/2) (+ (* 1/6 y) 1/2) (* (* (* y y) 1/2) y) (* (* y y) x))
5.0ms	x	@	inf	((* x (exp (* y y))) (exp (* y y)) (+ (* (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (* y y)) 1) (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (* x (exp y)) (+ (* y x) x) (* x (exp y)) (+ (* (* y x) (+ (* (+ (* 1/6 y) 1/2) y) 1)) x) (* y x) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp (* y y))) (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (* (* y x) (* (* (* y y) 1/2) y)) (* x (exp (* y y))) (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (+ (* 1/2 (* (* y y) x)) x) (* (* (* y y) x) 1/2) (+ (* (* y y) 1/6) 1/2) (+ (* 1/6 y) 1/2) (* (* (* y y) 1/2) y) (* (* y y) x))
4.0ms	y	@	-inf	((* x (exp (* y y))) (exp (* y y)) (+ (* (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (* y y)) 1) (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (* x (exp y)) (+ (* y x) x) (* x (exp y)) (+ (* (* y x) (+ (* (+ (* 1/6 y) 1/2) y) 1)) x) (* y x) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp (* y y))) (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (* (* y x) (* (* (* y y) 1/2) y)) (* x (exp (* y y))) (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (+ (* 1/2 (* (* y y) x)) x) (* (* (* y y) x) 1/2) (+ (* (* y y) 1/6) 1/2) (+ (* 1/6 y) 1/2) (* (* (* y y) 1/2) y) (* (* y y) x))
3.0ms	x	@	0	((* x (exp (* y y))) (exp (* y y)) (+ (* (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (* y y)) 1) (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (* x (exp y)) (+ (* y x) x) (* x (exp y)) (+ (* (* y x) (+ (* (+ (* 1/6 y) 1/2) y) 1)) x) (* y x) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp (* y y))) (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (* (* y x) (* (* (* y y) 1/2) y)) (* x (exp (* y y))) (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (+ (* 1/2 (* (* y y) x)) x) (* (* (* y y) x) 1/2) (+ (* (* y y) 1/6) 1/2) (+ (* 1/6 y) 1/2) (* (* (* y y) 1/2) y) (* (* y y) x))
3.0ms	x	@	-inf	((* x (exp (* y y))) (exp (* y y)) (+ (* (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (* y y)) 1) (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (* x (exp y)) (+ (* y x) x) (* x (exp y)) (+ (* (* y x) (+ (* (+ (* 1/6 y) 1/2) y) 1)) x) (* y x) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp (* y y))) (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (* (* y x) (* (* (* y y) 1/2) y)) (* x (exp (* y y))) (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (+ (* 1/2 (* (* y y) x)) x) (* (* (* y y) x) 1/2) (+ (* (* y y) 1/6) 1/2) (+ (* 1/6 y) 1/2) (* (* (* y y) 1/2) y) (* (* y y) x))

simplify260.0ms (1%)

Memory

-9.9MiB live, 306.5MiB allocated

Algorithm

1×	egg-herbie

Rules

26 612×	`lower-fma.f64`
26 612×	`lower-fma.f32`
3 972×	`lower-*.f64`
3 972×	`lower-*.f32`
3 730×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	163	3168
1	528	3168
2	1612	3018
3	3845	3006
0	8766	2740

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 410

Calls

Call 1

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

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

rewrite264.0ms (1%)

Memory

18.7MiB live, 339.2MiB allocated

Rules

6 544×	`lower-fma.f32`
6 528×	`lower-fma.f64`
4 182×	`lower-/.f64`
4 182×	`lower-/.f32`
3 814×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	292
0	63	292
1	237	292
2	1664	284
0	8375	277

Stop Event

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

Counts

21 → 380

Calls

Call 1

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

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

eval103.0ms (0.4%)

Memory: -12.0MiB live, 260.0MiB allocated
Compiler: Compiled 20 517 to 1 318 computations (93.6% saved)

prune168.0ms (0.6%)

Memory

29.4MiB live, 270.0MiB allocated

Pruning

25 alts after pruning (19 fresh and 6 done)

	Pruned	Kept	Total
New	804	14	818
Fresh	2	5	7
Picked	2	3	5
Done	0	3	3
Total	808	25	833

Accuracy

100.0%

Counts

833 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(*.f64 x (exp.f64 y))
▶	96.3%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
	74.0%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y) #s(literal -1/4 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64))) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))))
	62.7%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64))))) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))))
	74.0%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)))) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))))
	96.1%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 #s(approx (+ (* (* y y) 1/6) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 y y))) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))))
	95.9%	(.f64 x #s(approx (exp ( y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) y) y)) (*.f64 y y) #s(literal 1 binary64))))
✓	85.2%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
	58.9%	(.f64 x #s(approx (exp ( y y)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 y y) y) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) y) y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))))
	39.6%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 1/2 binary64) y)))))
	31.9%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
✓	57.4%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
▶	94.0%	#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64))) (.f64 y y) x) (.f64 y y) x))
	52.2%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 y y) (.f64 x (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) x)) (.f64 y y)) x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (*.f64 y y) #s(literal 1/2 binary64)) x) x)) x))
	94.4%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x (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) x))
▶	90.3%	#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x)) (*.f64 y y) x))
✓	90.0%	#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x))
	36.6%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x)) y) y)))
✓	38.1%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 y x) (.f64 (.f64 (*.f64 y y) #s(literal 1/2 binary64)) y))))
	87.3%	#s(approx (* x (exp y)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) y x))
▶	87.7%	#s(approx (* x (exp y)) (fma.f64 (.f64 y x) #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) x))
✓	65.6%	#s(approx (* x (exp y)) (fma.f64 y x x))
	37.7%	#s(approx (* x (exp y)) #s(approx (+ (* (* y x) (+ (* (+ (* 1/6 y) 1/2) y) 1)) x) (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64))))
	33.9%	#s(approx (* x (exp y)) #s(approx (+ (* (* y x) (+ (* (+ (* 1/6 y) 1/2) y) 1)) x) (.f64 (.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y) y)))
▶	13.4%	#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 873 to 419 computations (52% saved)

simplify116.0ms (0.4%)

Memory

-17.6MiB live, 77.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

2 850×	`lower-fma.f32`
2 832×	`lower-fma.f64`
1 302×	`lower-*.f32`
1 288×	`lower-*.f64`
1 156×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	354
0	68	354
1	128	354
2	227	354
3	474	354
4	1145	354
5	1763	354
6	2672	354
7	3938	354
8	4358	354
9	4474	354
10	4530	354
11	4530	354
12	4634	354
13	4634	354
14	4634	354
15	4985	354
16	4988	354
17	4989	354
0	4989	336

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize144.0ms (0.5%)

Memory

-16.7MiB live, 212.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x)
accuracy	0.0859375	(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
accuracy	3.578282285471497	(.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)))
accuracy	3.810277822730072	#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64))) (.f64 y y) x) (.f64 y y) x))
accuracy	0	#s(approx (+ (* 1/2 (* (* y y) x)) x) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x))
accuracy	0.03515625	(fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x)) (*.f64 y y) x)
accuracy	6.195947653614455	#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x)) (*.f64 y y) x))
accuracy	7.560830397383368	(.f64 (.f64 y y) x)
accuracy	0.19140625	(.f64 #s(literal 1/6 binary64) (.f64 y y))
accuracy	0.5042901085935789	(fma.f64 (.f64 y x) #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) x)
accuracy	8.133354103965	#s(approx (* x (exp y)) (fma.f64 (.f64 y x) #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) x))
accuracy	34.733226868085154	#s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y)))
accuracy	0	(*.f64 y x)
accuracy	21.758229681152606	#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
accuracy	34.086994356610674	#s(approx (+ (* y x) x) (*.f64 y x))
accuracy	0.03515625	(fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64))
accuracy	0.0625	(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64))
accuracy	0.3125	(*.f64 #s(literal 1/6 binary64) y)
accuracy	3.068970523070829	#s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))

Samples

114.0ms

256×

valid

Compiler

Compiled 233 to 38 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-mult: 50.0ms (52.1% of total)

ival-add: 38.0ms (39.6% of total)

ival-exp: 4.0ms (4.2% of total)

const: 4.0ms (4.2% of total)

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

exact: 0.0ms (0% of total)

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

series69.0ms (0.3%)

Memory

-8.1MiB live, 78.2MiB allocated

Counts

23 → 456

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 y) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))) (taylor 0 y) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))) (patch #s(approx (exp ( y y)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))) (patch #s(approx (exp ( y y)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) (taylor 0 y) (#s(alt #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))) (patch #s(approx (exp ( y y)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) (taylor 0 y) (#s(alt #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))) (patch #s(approx (exp ( y y)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (.f64 y x))) (patch #s(approx ( x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (.f64 y x))) (patch #s(approx ( x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ x (* 1/2 (* x y))))) (taylor 0 y) (#s(alt #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (.f64 y x))) (patch #s(approx ( x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))))) (taylor 0 y) (#s(alt #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (.f64 y x))) (patch #s(approx ( x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (+ (* y x) x) (.f64 y x)) (patch #s(approx (+ ( y x) x) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt #s(approx (+ (* y x) x) (.f64 y x)) (patch #s(approx (+ ( y x) x) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt #s(approx (+ (* y x) x) (.f64 y x)) (patch #s(approx (+ ( y x) x) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt #s(approx (+ (* y x) x) (.f64 y x)) (patch #s(approx (+ ( y x) x) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (* x (exp y)) (fma.f64 (.f64 y x) #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) x)) (patch #s(approx (* x (exp y)) (fma.f64 (.f64 y x) #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt #s(approx (* x (exp y)) (fma.f64 (.f64 y x) #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) x)) (patch #s(approx (* x (exp y)) (fma.f64 (.f64 y x) #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ x (* 1/2 (* x y))))) (taylor 0 y) (#s(alt #s(approx (* x (exp y)) (fma.f64 (.f64 y x) #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) x)) (patch #s(approx (* x (exp y)) (fma.f64 (.f64 y x) #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))))) (taylor 0 y) (#s(alt #s(approx (* x (exp y)) (fma.f64 (.f64 y x) #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) x)) (patch #s(approx (* x (exp y)) (fma.f64 (.f64 y x) #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (.f64 y x) #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) x) (patch (fma.f64 (.f64 y x) #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (fma.f64 (.f64 y x) #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) x) (patch (fma.f64 (.f64 y x) #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ x (* 1/2 (* x y))))) (taylor 0 y) (#s(alt (fma.f64 (.f64 y x) #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) x) (patch (fma.f64 (.f64 y x) #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))))) (taylor 0 y) (#s(alt (fma.f64 (.f64 y x) #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) x) (patch (fma.f64 (.f64 y x) #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) (patch #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 y)) (taylor 0 y) (#s(alt #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) (patch #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))) 1)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64))) (.f64 y y) x) (.f64 y y) x) (patch (fma.f64 (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64))) (.f64 y y) x) (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64))) (.f64 y y) x) (patch (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64))) (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64))) (.f64 y y) x) (patch (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64))) (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64))) (.f64 y y) x) (patch (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64))) (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64))) (.f64 y y) x) (patch (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64))) (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/6 (pow y 2)))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64))) (patch (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/6 (pow y 2)))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64))) (patch (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/6 (pow y 2)))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64))) (patch (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/6 (pow y 2)))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64))) (patch (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	x	@	inf	((* x (exp (* y y))) (exp (* y y)) (+ (* (+ (* (+ (* (* 1/6 y) y) 1/2) (* y y)) 1) (* y y)) 1) (+ (* (+ (* (* 1/6 y) y) 1/2) (* y y)) 1) (* x (exp y)) (+ (* y x) x) (* y x) (* x (exp y)) (+ (* (* y x) (+ (* (+ (* 1/6 y) 1/2) y) 1)) x) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp (* y y))) (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (+ (* 1/2 (* (* y y) x)) x) (+ (* 1/2 (* (* y y) x)) x) (* x (exp (* y y))) (+ (* (+ (* (* x (+ (* 1/6 (* y y)) 1/2)) (* y y)) x) (* y y)) x) (+ (* (* x (+ (* 1/6 (* y y)) 1/2)) (* y y)) x) (* x (+ (* 1/6 (* y y)) 1/2)) (* 1/6 y) (+ (* (* 1/6 y) y) 1/2) (* 1/6 (* y y)) (* (* y y) x) (+ (* 1/6 (* y y)) 1/2))
4.0ms	x	@	-inf	((* x (exp (* y y))) (exp (* y y)) (+ (* (+ (* (+ (* (* 1/6 y) y) 1/2) (* y y)) 1) (* y y)) 1) (+ (* (+ (* (* 1/6 y) y) 1/2) (* y y)) 1) (* x (exp y)) (+ (* y x) x) (* y x) (* x (exp y)) (+ (* (* y x) (+ (* (+ (* 1/6 y) 1/2) y) 1)) x) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp (* y y))) (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (+ (* 1/2 (* (* y y) x)) x) (+ (* 1/2 (* (* y y) x)) x) (* x (exp (* y y))) (+ (* (+ (* (* x (+ (* 1/6 (* y y)) 1/2)) (* y y)) x) (* y y)) x) (+ (* (* x (+ (* 1/6 (* y y)) 1/2)) (* y y)) x) (* x (+ (* 1/6 (* y y)) 1/2)) (* 1/6 y) (+ (* (* 1/6 y) y) 1/2) (* 1/6 (* y y)) (* (* y y) x) (+ (* 1/6 (* y y)) 1/2))
3.0ms	x	@	0	((* x (exp (* y y))) (exp (* y y)) (+ (* (+ (* (+ (* (* 1/6 y) y) 1/2) (* y y)) 1) (* y y)) 1) (+ (* (+ (* (* 1/6 y) y) 1/2) (* y y)) 1) (* x (exp y)) (+ (* y x) x) (* y x) (* x (exp y)) (+ (* (* y x) (+ (* (+ (* 1/6 y) 1/2) y) 1)) x) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp (* y y))) (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (+ (* 1/2 (* (* y y) x)) x) (+ (* 1/2 (* (* y y) x)) x) (* x (exp (* y y))) (+ (* (+ (* (* x (+ (* 1/6 (* y y)) 1/2)) (* y y)) x) (* y y)) x) (+ (* (* x (+ (* 1/6 (* y y)) 1/2)) (* y y)) x) (* x (+ (* 1/6 (* y y)) 1/2)) (* 1/6 y) (+ (* (* 1/6 y) y) 1/2) (* 1/6 (* y y)) (* (* y y) x) (+ (* 1/6 (* y y)) 1/2))
3.0ms	y	@	inf	((* x (exp (* y y))) (exp (* y y)) (+ (* (+ (* (+ (* (* 1/6 y) y) 1/2) (* y y)) 1) (* y y)) 1) (+ (* (+ (* (* 1/6 y) y) 1/2) (* y y)) 1) (* x (exp y)) (+ (* y x) x) (* y x) (* x (exp y)) (+ (* (* y x) (+ (* (+ (* 1/6 y) 1/2) y) 1)) x) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp (* y y))) (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (+ (* 1/2 (* (* y y) x)) x) (+ (* 1/2 (* (* y y) x)) x) (* x (exp (* y y))) (+ (* (+ (* (* x (+ (* 1/6 (* y y)) 1/2)) (* y y)) x) (* y y)) x) (+ (* (* x (+ (* 1/6 (* y y)) 1/2)) (* y y)) x) (* x (+ (* 1/6 (* y y)) 1/2)) (* 1/6 y) (+ (* (* 1/6 y) y) 1/2) (* 1/6 (* y y)) (* (* y y) x) (+ (* 1/6 (* y y)) 1/2))
3.0ms	y	@	-inf	((* x (exp (* y y))) (exp (* y y)) (+ (* (+ (* (+ (* (* 1/6 y) y) 1/2) (* y y)) 1) (* y y)) 1) (+ (* (+ (* (* 1/6 y) y) 1/2) (* y y)) 1) (* x (exp y)) (+ (* y x) x) (* y x) (* x (exp y)) (+ (* (* y x) (+ (* (+ (* 1/6 y) 1/2) y) 1)) x) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp (* y y))) (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (+ (* 1/2 (* (* y y) x)) x) (+ (* 1/2 (* (* y y) x)) x) (* x (exp (* y y))) (+ (* (+ (* (* x (+ (* 1/6 (* y y)) 1/2)) (* y y)) x) (* y y)) x) (+ (* (* x (+ (* 1/6 (* y y)) 1/2)) (* y y)) x) (* x (+ (* 1/6 (* y y)) 1/2)) (* 1/6 y) (+ (* (* 1/6 y) y) 1/2) (* 1/6 (* y y)) (* (* y y) x) (+ (* 1/6 (* y y)) 1/2))

simplify187.0ms (0.7%)

Memory

34.7MiB live, 260.3MiB allocated

Algorithm

1×	egg-herbie

Rules

19 364×	`lower-fma.f64`
19 364×	`lower-fma.f32`
3 936×	`lower-+.f64`
3 936×	`lower-+.f32`
3 818×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	3935
1	628	3829
2	1944	3646
3	4720	3644
0	8435	3317

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 444

Calls

Call 1

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

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

rewrite236.0ms (0.9%)

Memory

-16.7MiB live, 262.8MiB allocated

Rules

5 746×	`lower-*.f32`
5 732×	`lower-*.f64`
4 950×	`lower-fma.f32`
4 932×	`lower-fma.f64`
4 266×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	322
0	68	322
1	262	322
2	1747	322
0	8241	314

Stop Event

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

Counts

23 → 352

Calls

Call 1

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

Outputs
(.f64 #s(approx (exp ( y y)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (exp (* y y)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) (.f64 y y)) (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) (.f64 y y)) (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) (.f64 y y)) (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y))))))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) (.f64 y y)) (fma.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) (.f64 y y)) (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) (.f64 y y)) (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (*.f64 y y)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) (.f64 y y)) (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) (.f64 y y)) (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (*.f64 y y) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) (.f64 y y)) (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) (.f64 y y)) (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (*.f64 y y)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) (.f64 y y)) (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (*.f64 y y) #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) (.f64 y y)) (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y) #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) (.f64 y y)) (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y))) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) (.f64 y y)) (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) (.f64 y y)) (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y))))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) (.f64 y y)) (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) (.f64 y y)) (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y) #s(literal -1 binary64))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y) #s(literal -1 binary64)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) (.f64 y y)) (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (*.f64 y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) (.f64 y y)) (fma.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) (.f64 y y)) (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) (.f64 y y)) (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (*.f64 y y)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) (.f64 y y)) (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (*.f64 y y) #s(literal -1 binary64))))
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(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64))
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(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y)) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(+.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
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eval109.0ms (0.4%)

Memory: 17.5MiB live, 165.7MiB allocated
Compiler: Compiled 24 620 to 1 429 computations (94.2% saved)

prune208.0ms (0.8%)

Memory

-11.6MiB live, 319.7MiB allocated

Pruning

27 alts after pruning (17 fresh and 10 done)

	Pruned	Kept	Total
New	815	7	822
Fresh	4	10	14
Picked	1	4	5
Done	0	6	6
Total	820	27	847

Accuracy

100.0%

Counts

847 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(*.f64 x (exp.f64 y))
✓	96.3%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
	74.0%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y) #s(literal -1/4 binary64)) (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) #s(literal 1 binary64))))
	74.0%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y) #s(literal -1/4 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64))) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))))
	96.1%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 #s(approx (+ (* (* y y) 1/6) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 y y))) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))))
	95.9%	(.f64 x #s(approx (exp ( y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) y) y)) (*.f64 y y) #s(literal 1 binary64))))
✓	85.2%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
	58.9%	(.f64 x #s(approx (exp ( y y)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 y y) y) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) y) y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))))
	39.6%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 1/2 binary64) y)))))
	31.9%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
✓	57.4%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
	94.0%	#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) y) y x) (.f64 y y) x))
	94.0%	#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 x (fma.f64 y (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64))) (.f64 y y) x) (.f64 y y) x))
	72.1%	#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 x (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y) #s(literal -1/4 binary64)) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) (.f64 y y) x) (*.f64 y y) x))
	93.9%	#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(approx (* x (+ (* 1/6 (* y y)) 1/2)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x))) (.f64 y y) x) (*.f64 y y) x))
	52.2%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 y y) (.f64 x (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) x)) (.f64 y y)) x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (*.f64 y y) #s(literal 1/2 binary64)) x) x)) x))
	93.7%	#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 (* y y)) 1/2)) (* y y)) x) (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64)) y)) (.f64 y y) x))
✓	90.3%	#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x)) (*.f64 y y) x))
✓	90.0%	#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x))
	36.6%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x)) y) y)))
✓	38.1%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 y x) (.f64 (.f64 (*.f64 y y) #s(literal 1/2 binary64)) y))))
	87.7%	#s(approx (* x (exp y)) (fma.f64 (.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))) x) y x))
✓	87.7%	#s(approx (* x (exp y)) (fma.f64 (.f64 y x) #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) x))
✓	65.6%	#s(approx (* x (exp y)) (fma.f64 y x x))
	37.7%	#s(approx (* x (exp y)) #s(approx (+ (* (* y x) (+ (* (+ (* 1/6 y) 1/2) y) 1)) x) (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64))))
	33.9%	#s(approx (* x (exp y)) #s(approx (+ (* (* y x) (+ (* (+ (* 1/6 y) 1/2) y) 1)) x) (.f64 (.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y) y)))
✓	13.4%	#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 1 167 to 382 computations (67.3% saved)

regimes59.0ms (0.2%)

Memory

3.5MiB live, 80.5MiB allocated

Counts

40 → 1

Calls

Call 1

Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (* x (exp y)) #s(approx (+ (* (* y x) (+ (* (+ (* 1/6 y) 1/2) y) 1)) x) (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64))))
#s(approx (* x (exp y)) #s(approx (+ (* (* y x) (+ (* (+ (* 1/6 y) 1/2) y) 1)) x) (.f64 (.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y) y)))
#s(approx (* x (exp y)) (fma.f64 (.f64 y x) #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) x))
#s(approx (* x (exp y)) (fma.f64 (.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))) x) y x))
#s(approx (* x (exp y)) (fma.f64 (*.f64 y x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x))
#s(approx (* x (exp y)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 y x) (.f64 (.f64 (*.f64 y y) #s(literal 1/2 binary64)) y))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x)) y) y)))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 1/2 binary64) y)))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x)) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) x) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (*.f64 y y) x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 (* y y)) 1/2)) (* y y)) x) (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64)) y)) (.f64 y y) x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) y) y)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(approx (* x (+ (* 1/6 (* y y)) 1/2)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x))) (.f64 y y) x) (*.f64 y y) x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 #s(approx (+ (* (* y y) 1/6) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 y y))) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x (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) x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64))) (.f64 y y) x) (.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 x (fma.f64 y (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64))) (.f64 y y) x) (.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) y) y x) (.f64 y y) x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.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) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 x (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y) #s(literal -1/4 binary64)) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) (.f64 y y) x) (*.f64 y y) x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y) #s(literal -1/4 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64))) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y) #s(literal -1/4 binary64)) (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) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)))) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 y y) (.f64 x (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) x)) (.f64 y y)) x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (*.f64 y y) #s(literal 1/2 binary64)) x) x)) x))
(.f64 x #s(approx (exp ( y y)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 y y) y) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) y) y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64))))) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))))
(*.f64 x (exp.f64 y))
(.f64 x (exp.f64 (.f64 y y)))

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

Calls

5 calls:

15.0ms	x
12.0ms	(.f64 x (exp.f64 (.f64 y y)))
11.0ms	y
10.0ms	(*.f64 y y)
8.0ms	(exp.f64 (*.f64 y y))

Results

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

Compiler

Compiled 25 to 16 computations (36% saved)

regimes55.0ms (0.2%)

Memory

17.7MiB live, 93.1MiB allocated

Counts

39 → 1

Calls

Call 1

Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (* x (exp y)) #s(approx (+ (* (* y x) (+ (* (+ (* 1/6 y) 1/2) y) 1)) x) (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64))))
#s(approx (* x (exp y)) #s(approx (+ (* (* y x) (+ (* (+ (* 1/6 y) 1/2) y) 1)) x) (.f64 (.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y) y)))
#s(approx (* x (exp y)) (fma.f64 (.f64 y x) #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) x))
#s(approx (* x (exp y)) (fma.f64 (.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))) x) y x))
#s(approx (* x (exp y)) (fma.f64 (*.f64 y x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x))
#s(approx (* x (exp y)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 y x) (.f64 (.f64 (*.f64 y y) #s(literal 1/2 binary64)) y))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x)) y) y)))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 1/2 binary64) y)))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x)) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) x) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (*.f64 y y) x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 (* y y)) 1/2)) (* y y)) x) (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64)) y)) (.f64 y y) x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) y) y)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(approx (* x (+ (* 1/6 (* y y)) 1/2)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x))) (.f64 y y) x) (*.f64 y y) x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 #s(approx (+ (* (* y y) 1/6) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 y y))) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x (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) x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64))) (.f64 y y) x) (.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 x (fma.f64 y (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64))) (.f64 y y) x) (.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) y) y x) (.f64 y y) x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.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) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 x (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y) #s(literal -1/4 binary64)) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) (.f64 y y) x) (*.f64 y y) x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y) #s(literal -1/4 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64))) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y) #s(literal -1/4 binary64)) (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) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)))) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 y y) (.f64 x (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) x)) (.f64 y y)) x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (*.f64 y y) #s(literal 1/2 binary64)) x) x)) x))
(.f64 x #s(approx (exp ( y y)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 y y) y) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) y) y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64))))) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))))
(*.f64 x (exp.f64 y))

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

Calls

5 calls:

12.0ms	y
11.0ms	x
11.0ms	(.f64 x (exp.f64 (.f64 y y)))
10.0ms	(*.f64 y y)
10.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`(.f64 x (exp.f64 (.f64 y y)))`
99.2%	1	`(exp.f64 (*.f64 y y))`
99.2%	1	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes115.0ms (0.4%)

Memory

-1.4MiB live, 75.5MiB allocated

Counts

38 → 1

Calls

Call 1

Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (* x (exp y)) #s(approx (+ (* (* y x) (+ (* (+ (* 1/6 y) 1/2) y) 1)) x) (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64))))
#s(approx (* x (exp y)) #s(approx (+ (* (* y x) (+ (* (+ (* 1/6 y) 1/2) y) 1)) x) (.f64 (.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y) y)))
#s(approx (* x (exp y)) (fma.f64 (.f64 y x) #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) x))
#s(approx (* x (exp y)) (fma.f64 (.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))) x) y x))
#s(approx (* x (exp y)) (fma.f64 (*.f64 y x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x))
#s(approx (* x (exp y)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 y x) (.f64 (.f64 (*.f64 y y) #s(literal 1/2 binary64)) y))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x)) y) y)))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 1/2 binary64) y)))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x)) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) x) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (*.f64 y y) x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 (* y y)) 1/2)) (* y y)) x) (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64)) y)) (.f64 y y) x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) y) y)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(approx (* x (+ (* 1/6 (* y y)) 1/2)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x))) (.f64 y y) x) (*.f64 y y) x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 #s(approx (+ (* (* y y) 1/6) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 y y))) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x (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) x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64))) (.f64 y y) x) (.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 x (fma.f64 y (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64))) (.f64 y y) x) (.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) y) y x) (.f64 y y) x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.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) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 x (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y) #s(literal -1/4 binary64)) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) (.f64 y y) x) (*.f64 y y) x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y) #s(literal -1/4 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64))) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y) #s(literal -1/4 binary64)) (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) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)))) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 y y) (.f64 x (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) x)) (.f64 y y)) x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (*.f64 y y) #s(literal 1/2 binary64)) x) x)) x))
(.f64 x #s(approx (exp ( y y)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 y y) y) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) y) y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64))))) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))))

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

Calls

5 calls:

46.0ms	x
37.0ms	(*.f64 y y)
11.0ms	y
10.0ms	(.f64 x (exp.f64 (.f64 y y)))
8.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
96.3%	1	`x`
96.3%	1	`y`
96.3%	1	`(.f64 x (exp.f64 (.f64 y y)))`
96.3%	1	`(exp.f64 (*.f64 y y))`
96.3%	1	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes47.0ms (0.2%)

Memory

5.8MiB live, 78.7MiB allocated

Counts

28 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

12.0ms	(.f64 x (exp.f64 (.f64 y y)))
9.0ms	x
8.0ms	y
7.0ms	(*.f64 y y)
6.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
96.1%	1	`y`
96.1%	1	`(.f64 x (exp.f64 (.f64 y y)))`
96.1%	1	`(exp.f64 (*.f64 y y))`
96.1%	1	`(*.f64 y y)`
96.1%	1	`x`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes44.0ms (0.2%)

Memory

-12.0MiB live, 71.6MiB allocated

Counts

23 → 1

Calls

Call 1

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

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

Calls

5 calls:

12.0ms	(.f64 x (exp.f64 (.f64 y y)))
10.0ms	(*.f64 y y)
7.0ms	x
7.0ms	y
6.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
95.9%	1	`y`
95.9%	1	`(.f64 x (exp.f64 (.f64 y y)))`
95.9%	1	`(exp.f64 (*.f64 y y))`
95.9%	1	`(*.f64 y y)`
95.9%	1	`x`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes36.0ms (0.1%)

Memory

-7.6MiB live, 69.4MiB allocated

Counts

21 → 1

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	(*.f64 y y)
7.0ms	x
7.0ms	y
6.0ms	(.f64 x (exp.f64 (.f64 y y)))
5.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
93.7%	1	`x`
93.7%	1	`y`
93.7%	1	`(*.f64 y y)`
93.7%	1	`(.f64 x (exp.f64 (.f64 y y)))`
93.7%	1	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes31.0ms (0.1%)

Memory

24.0MiB live, 62.4MiB allocated

Counts

20 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
93.3%	1	`x`
93.3%	1	`y`
93.3%	1	`(*.f64 y y)`
93.3%	1	`(.f64 x (exp.f64 (.f64 y y)))`
93.3%	1	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes35.0ms (0.1%)

Memory

2.3MiB live, 52.1MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
91.8%	1	`x`
91.8%	1	`y`
91.8%	1	`(.f64 x (exp.f64 (.f64 y y)))`
91.8%	1	`(exp.f64 (*.f64 y y))`
91.8%	1	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes45.0ms (0.2%)

Memory

-4.4MiB live, 34.2MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

23.0ms	(exp.f64 (*.f64 y y))
6.0ms	x
5.0ms	y
5.0ms	(.f64 x (exp.f64 (.f64 y y)))
5.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
90.6%	1	`x`
93.3%	2	`y`
93.3%	2	`(*.f64 y y)`
93.3%	2	`(.f64 x (exp.f64 (.f64 y y)))`
93.3%	2	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes30.0ms (0.1%)

Memory

-4.5MiB live, 34.0MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

14.0ms	(exp.f64 (*.f64 y y))
5.0ms	y
5.0ms	(.f64 x (exp.f64 (.f64 y y)))
5.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
93.2%	2	`y`
93.2%	2	`(.f64 x (exp.f64 (.f64 y y)))`
93.2%	2	`(exp.f64 (*.f64 y y))`
93.2%	2	`(*.f64 y y)`

Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes41.0ms (0.2%)

Memory

-7.8MiB live, 28.7MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

27.0ms	(.f64 x (exp.f64 (.f64 y y)))
5.0ms	y
4.0ms	(*.f64 y y)
4.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
90.6%	1	`y`
90.6%	1	`(.f64 x (exp.f64 (.f64 y y)))`
90.6%	1	`(exp.f64 (*.f64 y y))`
90.6%	1	`(*.f64 y y)`

Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes48.0ms (0.2%)

Memory

-13.9MiB live, 28.7MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

33.0ms	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
87.7%	1	`x`
91.3%	2	`y`
91.3%	2	`(.f64 x (exp.f64 (.f64 y y)))`
91.3%	2	`(exp.f64 (*.f64 y y))`
91.3%	2	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes12.0ms (0%)

Memory

17.6MiB live, 17.6MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
85.2%	1	`x`
85.2%	1	`y`
85.2%	1	`(*.f64 y y)`
85.2%	1	`(.f64 x (exp.f64 (.f64 y y)))`
85.2%	1	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes15.0ms (0.1%)

Memory

-11.2MiB live, 26.6MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
65.6%	1	`x`
85.0%	2	`y`
85.0%	2	`(.f64 x (exp.f64 (.f64 y y)))`
85.0%	2	`(exp.f64 (*.f64 y y))`
85.0%	2	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes7.0ms (0%)

Memory

18.2MiB live, 18.2MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
65.6%	1	`y`
65.6%	1	`(.f64 x (exp.f64 (.f64 y y)))`
65.6%	1	`(exp.f64 (*.f64 y y))`
65.6%	1	`(*.f64 y y)`

Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes41.0ms (0.2%)

Memory

-17.3MiB live, 20.5MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

35.0ms	x
2.0ms	y
1.0ms	(.f64 x (exp.f64 (.f64 y y)))
1.0ms	(*.f64 y y)
1.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
57.4%	1	`x`
66.0%	2	`y`
66.0%	2	`(.f64 x (exp.f64 (.f64 y y)))`
66.0%	2	`(exp.f64 (*.f64 y y))`
66.0%	2	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes6.0ms (0%)

Memory

16.3MiB live, 16.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
13.4%	1	`x`
13.4%	1	`y`
13.4%	1	`(.f64 x (exp.f64 (.f64 y y)))`
13.4%	1	`(exp.f64 (*.f64 y y))`
13.4%	1	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.000019658150953	+inf

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.96579577342096e-5	61616661134732800.0

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.000019658150953	+inf

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.96579577342096e-5	61616661134732800.0

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.96579577342096e-5	61616661134732800.0

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify13.0ms (0%)

Memory

-18.5MiB live, 19.2MiB allocated

Algorithm

1×	egg-herbie

Rules

48×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	444
1	139	444

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (exp.f64 y))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 #s(approx (+ (* (* y y) 1/6) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 y y))) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) y) y)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 (* y y)) 1/2)) (* y y)) x) (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64)) y)) (.f64 y y) x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) x) y x))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x)) (.f64 y y) x)) (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 1/2 binary64) y))))))
(if (<=.f64 (.f64 y y) #s(literal 5902958103587057/295147905179352825856 binary64)) (.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) (.f64 x #s(approx (exp ( y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 1/2 binary64) y))))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) (.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) #s(approx (* x (exp y)) #s(approx (+ (* (* y x) (+ (* (+ (* 1/6 y) 1/2) y) 1)) x) (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64)))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
(if (<=.f64 (.f64 y y) #s(literal 5902958103587057/295147905179352825856 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) (.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))))
#s(approx (* x (exp y)) (fma.f64 y x x))
(if (<=.f64 (.f64 y y) #s(literal 5902958103587057/295147905179352825856 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))

Outputs
(.f64 x (exp.f64 (.f64 y y)))
(.f64 (exp.f64 (.f64 y y)) x)
(*.f64 x (exp.f64 y))
(*.f64 (exp.f64 y) x)
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (exp ( y y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 #s(approx (+ (* (* y y) 1/6) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 y y))) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (exp ( y y)) (fma.f64 (fma.f64 #s(approx (+ (* (* y y) 1/6) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 y y))) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))) x)
(.f64 x #s(approx (exp ( y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) y) y)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (exp ( y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) y) y)) (*.f64 y y) #s(literal 1 binary64))) x)
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 (* y y)) 1/2)) (* y y)) x) (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64)) y)) (.f64 y y) x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (exp ( y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))) x)
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) x) y x))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x)) (.f64 y y) x)) (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 1/2 binary64) y))))))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x)) (.f64 y y) x)) (.f64 #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 (.f64 y y) y)))) x))
(if (<=.f64 (.f64 y y) #s(literal 5902958103587057/295147905179352825856 binary64)) (.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) (.f64 x #s(approx (exp ( y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 1/2 binary64) y))))))
(if (<=.f64 (.f64 y y) #s(literal 5902958103587057/295147905179352825856 binary64)) (.f64 #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) x) (.f64 #s(approx (exp ( y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 (.f64 y y) y)))) x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) (.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) #s(approx (* x (exp y)) #s(approx (+ (* (* y x) (+ (* (+ (* 1/6 y) 1/2) y) 1)) x) (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64)))))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) (.f64 #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) x) #s(approx (* x (exp y)) #s(approx (+ (* (* y x) (+ (* (+ (* 1/6 y) 1/2) y) 1)) x) (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 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)
(if (<=.f64 (.f64 y y) #s(literal 5902958103587057/295147905179352825856 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) (.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))))
(if (<=.f64 (.f64 y y) #s(literal 5902958103587057/295147905179352825856 binary64)) (.f64 #s(approx (exp (* y y)) #s(literal 1 binary64)) x) (.f64 #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))) x))
#s(approx (* x (exp y)) (fma.f64 y x x))
(if (<=.f64 (.f64 y y) #s(literal 5902958103587057/295147905179352825856 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x))))
(if (<=.f64 (.f64 y y) #s(literal 5902958103587057/295147905179352825856 binary64)) (.f64 #s(approx (exp (* y y)) #s(literal 1 binary64)) x) #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))

soundness2.7s (10%)

Memory

28.2MiB live, 1 277.0MiB allocated

Rules

26 612×	`lower-fma.f64`
26 612×	`lower-fma.f32`
19 364×	`lower-fma.f64`
19 364×	`lower-fma.f32`
17 148×	`lower-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	189	3935
1	628	3829
2	1944	3646
3	4720	3644
0	8435	3317
0	33	272
1	95	272
2	276	266
3	744	264
4	974	264
5	1146	264
6	1303	264
7	1421	264
8	1421	262
9	1737	262
10	1769	262
11	1770	262
12	1819	262
0	1819	250
0	5	13
0	8	13
1	13	13
2	26	13
3	69	13
4	294	5
0	2666	5
0	23	144
0	39	144
1	123	144
2	792	141
0	8500	134
0	163	3168
1	528	3168
2	1612	3018
3	3845	3006
0	8766	2740
0	93	1950
1	289	1950
2	719	1868
3	1951	1864
4	4749	1864
0	8117	1718

Stop Event

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

Compiler

Compiled 594 to 255 computations (57.1% saved)

preprocess287.0ms (1.1%)

Memory

3.9MiB live, 271.4MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 844 to 316 computations (62.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	23	161
0	39	161
1	66	161
2	102	161
3	201	161
4	374	156
5	417	156
6	457	156
7	457	156
0	457	151

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

Iter	Nodes	Cost
0	23	161
0	39	161
1	66	161
2	102	161
3	201	161
4	374	156
5	417	156
6	457	156
7	457	156
0	457	151

start0.0ms (0%)

analyze0.0ms (0%)

sample18.8s (71%)

explain296.0ms (1.1%)

preprocess160.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize166.0ms (0.6%)

series5.0ms (0%)

simplify306.0ms (1.2%)

rewrite84.0ms (0.3%)

eval7.0ms (0%)

prune7.0ms (0%)

simplify36.0ms (0.1%)

localize64.0ms (0.2%)

series19.0ms (0.1%)

simplify243.0ms (0.9%)

rewrite321.0ms (1.2%)

eval127.0ms (0.5%)

prune134.0ms (0.5%)

simplify67.0ms (0.3%)

localize88.0ms (0.3%)

series50.0ms (0.2%)

simplify260.0ms (1%)

rewrite264.0ms (1%)

eval103.0ms (0.4%)

prune168.0ms (0.6%)

simplify116.0ms (0.4%)

localize144.0ms (0.5%)

series69.0ms (0.3%)

simplify187.0ms (0.7%)

rewrite236.0ms (0.9%)

eval109.0ms (0.4%)

prune208.0ms (0.8%)

regimes59.0ms (0.2%)

regimes55.0ms (0.2%)

regimes115.0ms (0.4%)

regimes47.0ms (0.2%)

regimes44.0ms (0.2%)

regimes36.0ms (0.1%)

regimes31.0ms (0.1%)

regimes35.0ms (0.1%)

regimes45.0ms (0.2%)

regimes30.0ms (0.1%)

regimes41.0ms (0.2%)

regimes48.0ms (0.2%)

regimes12.0ms (0%)

regimes15.0ms (0.1%)

regimes7.0ms (0%)

regimes41.0ms (0.2%)

regimes6.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify13.0ms (0%)

soundness2.7s (10%)

preprocess287.0ms (1.1%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	23	161
0	39	161
1	66	161
2	102	161
3	201	161
4	374	156
5	417	156
6	457	156
7	457	156
0	457	151