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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

sample592.0ms (2.1%)

Memory

19.6MiB live, 859.3MiB allocated

Samples

352.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 203.0ms

ival-mult: 133.0ms (65.6% of total)

ival-exp: 61.0ms (30.1% of total)

ival-true: 6.0ms (3% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

explain132.0ms (0.5%)

Memory

15.9MiB live, 94.4MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

22.0ms

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 (62.3% of total)

ival-exp: 4.0ms (35.6% of total)

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

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

preprocess38.0ms (0.1%)

Memory

-7.1MiB live, 31.8MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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

3.5MiB live, 3.5MiB 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

localize52.0ms (0.2%)

Memory

-22.0MiB live, 20.0MiB 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

48.0ms

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 (57.2% of total)

ival-exp: 2.0ms (38.1% of total)

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

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

series5.0ms (0%)

Memory

9.2MiB live, 9.3MiB 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	y	@	inf	((* x (exp (* y y))) (exp (* y y)) (* y y))
1.0ms	x	@	0	((* x (exp (* y y))) (exp (* y y)) (* y y))
1.0ms	y	@	0	((* x (exp (* y y))) (exp (* y y)) (* y y))
1.0ms	x	@	-inf	((* x (exp (* y y))) (exp (* y y)) (* y y))
1.0ms	x	@	inf	((* x (exp (* y y))) (exp (* y y)) (* y y))

simplify86.0ms (0.3%)

Memory

3.3MiB live, 40.3MiB 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)

rewrite99.0ms (0.4%)

Memory

8.9MiB live, 46.2MiB 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)

eval5.0ms (0%)

Memory: 8.9MiB live, 8.9MiB allocated
Compiler: Compiled 393 to 32 computations (91.9% saved)

prune42.0ms (0.2%)

Memory

-19.9MiB live, 17.7MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	48	6	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	7	55

Accuracy

100.0%

Counts

55 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
▶	98.6%	(*.f64 x (exp.f64 y))
	95.6%	(.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))))
▶	90.8%	(.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))))
▶	80.7%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
▶	50.2%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
▶	87.9%	#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 156 to 81 computations (48.1% saved)

simplify16.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB 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)

localize67.0ms (0.2%)

Memory

-17.0MiB live, 68.1MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
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	0.060878759768442016	(fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))
accuracy	8.864032601044	#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	0.00390625	(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x)
accuracy	0.05078125	(fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (*.f64 y y) x)
accuracy	7.76890122442511	#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	10.218382040781849	(.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	16.510680621134973	#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	32.08108374321535	#s(approx (exp (* y y)) #s(literal 1 binary64))
accuracy	0	(exp.f64 y)
accuracy	0.01171875	(*.f64 x (exp.f64 y))

Samples

50.0ms

256×

valid

Compiler

Compiled 118 to 21 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 21.0ms (67.5% of total)

ival-add: 5.0ms (16.1% of total)

ival-exp: 4.0ms (12.8% of total)

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

exact: 0.0ms (0% of total)

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

series32.0ms (0.1%)

Memory

-13.9MiB live, 24.3MiB allocated

Counts

15 → 276

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>) () ())

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>) () ())) ())
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#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))
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))
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))
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))
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))

simplify497.0ms (1.8%)

Memory

1.4MiB live, 115.3MiB 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	1914
1	289	1914
2	719	1832
3	1951	1828
4	4749	1828
0	8117	1682

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 269

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

rewrite681.0ms (2.5%)

Memory

1.5MiB live, 199.4MiB 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	141
0	39	141
1	123	141
2	792	138
0	8500	131

Stop Event

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

Counts

15 → 410

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))

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

eval112.0ms (0.4%)

Memory: 7.8MiB live, 126.0MiB allocated
Compiler: Compiled 18 292 to 1 335 computations (92.7% saved)

prune291.0ms (1%)

Memory

27.0MiB live, 188.6MiB allocated

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	666	13	679
Fresh	1	0	1
Picked	0	5	5
Done	0	1	1
Total	667	19	686

Accuracy

100.0%

Counts

686 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	98.6%	(*.f64 x (exp.f64 y))
▶	95.6%	(.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))))
✓	90.8%	(.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))))
	90.5%	(.f64 x #s(approx (exp ( y y)) (fma.f64 #s(approx (+ (* 1/2 (* y y)) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))))
✓	80.7%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
	51.5%	(.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))))))
	44.5%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) y))))
	44.3%	(.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)))))
	34.5%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
✓	50.2%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
▶	84.9%	(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
✓	87.9%	#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))
	41.8%	#s(approx (* x (exp (* y y))) (fma.f64 (/.f64 (.f64 x (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) x)) (.f64 y y)) x)) (-.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) x) x)) (.f64 y y) x))
▶	94.1%	#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))
▶	87.6%	#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))
	42.0%	#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))))
	82.3%	#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))
▶	60.2%	#s(approx (* x (exp y)) (fma.f64 y x x))

Compiler

Compiled 533 to 261 computations (51% saved)

simplify129.0ms (0.5%)

Memory

-14.4MiB live, 24.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

3 498×	`lower-fma.f32`
3 480×	`lower-fma.f64`
2 376×	`distribute-lft-in`
2 318×	`distribute-rgt-in`
1 518×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	321
0	59	321
1	112	321
2	202	321
3	525	321
4	1361	321
5	2813	321
6	4883	321
7	4919	321
8	5037	321
9	5037	321
10	5037	321
11	6155	321
12	7595	321
13	7688	321
14	7703	321
15	7718	321
16	7718	321
17	7718	321
0	8246	308

Stop Event

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

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

localize18.6s (67.1%)

Memory

-7.6MiB live, 147.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.046875	(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	0.10546875	(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	1.9103400411405314	(.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)))
accuracy	4.448077738564082	#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))
accuracy	0.05078125	(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	7.76890122442511	#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	10.218382040781849	(.f64 (.f64 y y) x)
accuracy	29.921706565459477	#s(approx (+ (* 1/2 (* (* y y) x)) x) (.f64 (.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))
accuracy	0.0234375	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
accuracy	0.0703125	(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
accuracy	0.14453125	(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy	11.985537314841407	#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy	0	(fma.f64 y x x)
accuracy	25.15455049638332	#s(approx (* x (exp y)) (fma.f64 y x x))
accuracy	0.0234375	(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	0.046875	(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	0.10546875	(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	4.865565961170442	#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

9.2s

256×

valid

Compiler

Compiled 226 to 35 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.2s

ival-mult: 9.1s (99.7% of total)

ival-add: 15.0ms (0.2% of total)

ival-exp: 4.0ms (0% of total)

const: 3.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

series35.0ms (0.1%)

Memory

32.1MiB live, 69.6MiB allocated

Counts

20 → 384

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 (.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)))) (patch (.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)))) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<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))) (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 #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)) (patch #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)) #<representation binary64>) () ())
#s(alt (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) (patch (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) #<representation binary64>) () ())
#s(alt (.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))) (patch (.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))) #<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 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>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (.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)))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (.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)))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ x (* 1/2 (* x y))))) (taylor 0 y) (#s(alt (.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)))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))))) (taylor 0 y) (#s(alt (.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)))) (patch (.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)))) #<representation binary64>) () ())) ())
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#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 (exp (pow y 2))) (taylor -inf x) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1))) (taylor -inf x) (#s(alt (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) (patch (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) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1))) (taylor -inf x) (#s(alt (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) (patch (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) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1))) (taylor -inf x) (#s(alt (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) (patch (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) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1))) (taylor -inf x) (#s(alt (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) (patch (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) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))) (taylor -inf x) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))) (taylor -inf x) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))) (taylor -inf x) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))) (taylor -inf x) (#s(alt (.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))) (patch (.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))) #<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
9.0ms	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)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 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) (* (* (* y y) x) 1/2) (* x (exp (* y y))) (+ (* (* x (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1)) (* y y)) x) (* x (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1)) (+ (* (* y y) 1/6) 1/2) (+ (* 1/6 y) 1/2) (* (* 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)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 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) (* (* (* y y) x) 1/2) (* x (exp (* y y))) (+ (* (* x (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1)) (* y y)) x) (* x (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1)) (+ (* (* y y) 1/6) 1/2) (+ (* 1/6 y) 1/2) (* (* y y) x))
3.0ms	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)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 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) (* (* (* y y) x) 1/2) (* x (exp (* y y))) (+ (* (* x (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1)) (* y y)) x) (* x (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1)) (+ (* (* y y) 1/6) 1/2) (+ (* 1/6 y) 1/2) (* (* 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)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 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) (* (* (* y y) x) 1/2) (* x (exp (* y y))) (+ (* (* x (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1)) (* y y)) x) (* x (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1)) (+ (* (* y y) 1/6) 1/2) (+ (* 1/6 y) 1/2) (* (* y y) x))
2.0ms	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)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 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) (* (* (* y y) x) 1/2) (* x (exp (* y y))) (+ (* (* x (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1)) (* y y)) x) (* x (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1)) (+ (* (* y y) 1/6) 1/2) (+ (* 1/6 y) 1/2) (* (* y y) x))

simplify418.0ms (1.5%)

Memory

-167.2MiB live, 284.3MiB allocated

Algorithm

1×	egg-herbie

Rules

21 164×	`lower-fma.f64`
21 164×	`lower-fma.f32`
3 492×	`lower-+.f64`
3 492×	`lower-+.f32`
3 212×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	3182
1	559	3182
2	1581	2992
3	3715	2978
4	7337	2978
0	8045	2701

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 374

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

rewrite224.0ms (0.8%)

Memory

19.3MiB live, 410.5MiB allocated

Rules

5 466×	`lower-*.f32`
5 454×	`lower-*.f64`
5 452×	`lower-fma.f32`
5 434×	`lower-fma.f64`
4 178×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	275
0	59	275
1	223	275
2	1575	275
0	8178	272

Stop Event

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

Counts

20 → 361

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)
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
#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))
#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))
(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)
(.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)))
(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 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)))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (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) (.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal -1 binary64))))
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(pow.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) (-.f64 #s(literal 1/4 binary64) (.f64 y #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 y y) y) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 y y)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 y y) y) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) (-.f64 #s(literal 1/4 binary64) (.f64 y #s(literal 1/12 binary64)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 #s(literal 1/36 binary64) (.f64 y y))) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 #s(literal 1/36 binary64) (.f64 y y)) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 #s(literal 1/36 binary64) (*.f64 y y)) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 y y) y)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (.f64 #s(literal 1/216 binary64) (.f64 (.f64 y y) y)) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 y y) y) #s(literal 1/1728 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 (-.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 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) (-.f64 #s(literal 1/4 binary64) (.f64 y #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 y y) y) #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 y y) y) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (*.f64 y #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 y y) y) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) (-.f64 #s(literal 1/4 binary64) (.f64 y #s(literal 1/12 binary64))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 y y) y) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (*.f64 y #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 y y) y) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 y y) (-.f64 #s(literal 1/4 binary64) (.f64 y #s(literal 1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) (-.f64 #s(literal 1/4 binary64) (.f64 y #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 y y) y) #s(literal 1/8 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 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))
(.f64 (.f64 y x) y)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(.f64 x (.f64 y y))

eval110.0ms (0.4%)

Memory: 1.7MiB live, 313.6MiB allocated
Compiler: Compiled 26 451 to 1 678 computations (93.7% saved)

prune332.0ms (1.2%)

Memory

7.7MiB live, 417.9MiB allocated

Pruning

33 alts after pruning (25 fresh and 8 done)

	Pruned	Kept	Total
New	810	18	828
Fresh	1	7	8
Picked	3	2	5
Done	0	6	6
Total	814	33	847

Accuracy

100.0%

Counts

847 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	98.6%	(*.f64 x (exp.f64 y))
✓	90.8%	(.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))))
▶	95.3%	(.f64 x #s(approx (exp ( y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))))
	90.5%	(.f64 x #s(approx (exp ( y y)) (fma.f64 #s(approx (+ (* 1/2 (* y y)) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))))
✓	80.7%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
	51.5%	(.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))))))
	44.5%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) y))))
	44.3%	(.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)))))
	34.5%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
✓	50.2%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
▶	84.9%	(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
	85.4%	(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y #s(literal 1 binary64))))
	40.0%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
	39.4%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))))
	39.2%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))
	94.1%	#s(approx (* x (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 (.f64 y y) x) x))
	93.0%	#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 y y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) x) x) (.f64 y y) x))
✓	87.9%	#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))
▶	94.1%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) x) y) y x))
▶	87.6%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 #s(approx (+ ( 1/2 (* (* y y) x)) x) (.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x))
	58.9%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) #s(literal 1/216 binary64) #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) x))
	69.9%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x (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) x))
	93.8%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x #s(approx (+ ( (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/6 binary64)) y))) (*.f64 y y) x))
✓	87.6%	#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))
	92.8%	#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* x (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 (.f64 y y) x))) (*.f64 y y) x))
	41.3%	#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)))
	42.0%	#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))))
	80.9%	#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
	82.3%	#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))
✓	60.2%	#s(approx (* x (exp y)) (fma.f64 y x x))
	40.8%	#s(approx (* x (exp y)) (/.f64 (.f64 (fma.f64 y x x) (-.f64 (.f64 y x) x)) (-.f64 (*.f64 y x) x)))
▶	15.3%	#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 1 020 to 497 computations (51.3% saved)

simplify109.0ms (0.4%)

Memory

-7.5MiB live, 70.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

2 826×	`lower-fma.f32`
2 812×	`lower-fma.f64`
1 828×	`distribute-lft-in`
1 772×	`distribute-rgt-in`
1 402×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	455
0	80	447
1	143	433
2	221	423
3	353	420
4	863	420
5	1898	420
6	3912	420
7	5062	420
8	5189	420
9	5272	420
10	5272	420
11	6756	420
12	6756	420
13	6756	420
14	7558	420
15	7691	420
16	7696	420
17	7696	420
0	7696	406

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize184.0ms (0.7%)

Memory

29.8MiB live, 220.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.046875	(fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64))
accuracy	0.10546875	(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
accuracy	1.9103400411405314	(.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
accuracy	4.448077738564082	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) x) y) y x))
accuracy	0.0390625	(.f64 #s(approx (+ ( 1/2 (* (* y y) x)) x) (.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y)
accuracy	0.140625	(.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 y x))
accuracy	7.76890122442511	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 #s(approx (+ ( 1/2 (* (* y y) x)) x) (.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x))
accuracy	29.921706565459477	#s(approx (+ (* 1/2 (* (* y y) x)) x) (.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 y x)))
accuracy	0.0703125	(fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64))
accuracy	0.28125	(*.f64 #s(literal 1/6 binary64) y)
accuracy	11.985537314841407	#s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy	29.938966158708453	#s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y))
accuracy	0	(*.f64 y x)
accuracy	25.15455049638332	#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
accuracy	29.75422398451692	#s(approx (+ (* y x) x) (*.f64 y x))
accuracy	0.078125	(.f64 (.f64 y y) y)
accuracy	0.1484375	(.f64 (.f64 (*.f64 y y) y) #s(literal 1/6 binary64))
accuracy	4.865565961170442	#s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))
accuracy	30.260945930153515	#s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/6 binary64)) y))

Samples

112.0ms

256×

valid

Compiler

Compiled 270 to 45 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 57.0ms (61.2% of total)

ival-add: 29.0ms (31.1% of total)

ival-exp: 4.0ms (4.3% of total)

const: 3.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

series81.0ms (0.3%)

Memory

-33.7MiB live, 91.2MiB allocated

Counts

26 → 480

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	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) (* y x) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 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) y) (+ (* 1/2 (* (* y y) x)) x) (* x (exp (* y y))) (+ (* (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) y) y) x) (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) y) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (* (* (* y y) y) 1/6) (* (* y y) y) (+ (* 1/6 y) 1/2) (* 1/6 y) (* (* 1/2 y) (* y x)) (+ (* 1/6 (* y y)) 1/2) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1))
5.0ms	y	@	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) (* y x) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 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) y) (+ (* 1/2 (* (* y y) x)) x) (* x (exp (* y y))) (+ (* (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) y) y) x) (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) y) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (* (* (* y y) y) 1/6) (* (* y y) y) (+ (* 1/6 y) 1/2) (* 1/6 y) (* (* 1/2 y) (* y x)) (+ (* 1/6 (* y y)) 1/2) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1))
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) (* y x) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 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) y) (+ (* 1/2 (* (* y y) x)) x) (* x (exp (* y y))) (+ (* (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) y) y) x) (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) y) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (* (* (* y y) y) 1/6) (* (* y y) y) (+ (* 1/6 y) 1/2) (* 1/6 y) (* (* 1/2 y) (* y x)) (+ (* 1/6 (* y y)) 1/2) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1))
3.0ms	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) (* y x) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 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) y) (+ (* 1/2 (* (* y y) x)) x) (* x (exp (* y y))) (+ (* (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) y) y) x) (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) y) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (* (* (* y y) y) 1/6) (* (* y y) y) (+ (* 1/6 y) 1/2) (* 1/6 y) (* (* 1/2 y) (* y x)) (+ (* 1/6 (* y y)) 1/2) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1))
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) (* y x) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 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) y) (+ (* 1/2 (* (* y y) x)) x) (* x (exp (* y y))) (+ (* (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) y) y) x) (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) y) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (* (* (* y y) y) 1/6) (* (* y y) y) (+ (* 1/6 y) 1/2) (* 1/6 y) (* (* 1/2 y) (* y x)) (+ (* 1/6 (* y y)) 1/2) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1))

simplify219.0ms (0.8%)

Memory

5.5MiB live, 321.5MiB allocated

Algorithm

1×	egg-herbie

Rules

21 132×	`lower-fma.f64`
21 132×	`lower-fma.f32`
4 172×	`lower-*.f64`
4 172×	`lower-*.f32`
4 078×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	4104
1	691	4016
2	2109	3778
3	5007	3776
0	8139	3454

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 470

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))))))
1
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
1
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 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))))))
(* x y)
(* y (+ x (* 1/2 (* x (pow y 2)))))
(* y (+ x (* 1/2 (* x (pow y 2)))))
(* y (+ 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 y)
(* y (+ x (* 1/2 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))
(* y (+ 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))))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
1/2
(+ 1/2 (* 1/6 y))
(+ 1/2 (* 1/6 y))
(+ 1/2 (* 1/6 y))
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 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
(+ 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 (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))
(exp y)
(exp y)
(exp y)
(exp y)
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* (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 3)))
(* (pow y 3) (+ (* 1/2 x) (/ x (pow y 2))))
(* (pow y 3) (+ (* 1/2 x) (/ x (pow y 2))))
(* (pow y 3) (+ (* 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 5)))
(* (pow y 5) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 5) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* (pow y 5) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* 1/6 (* x (pow y 4)))
(* (pow y 4) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 4) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* (pow y 4) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(* 1/6 y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 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 (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 (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
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(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))
(exp y)
(exp y)
(exp y)
(exp y)
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6)))
(* 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 3)))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* -1/2 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* -1/2 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* -1/2 x))))
(* 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 5)))
(* -1 (* (pow y 5) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x))))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x)))))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x)))))
(* 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 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(* 1/6 y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
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(* (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 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 (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))
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(* x (exp y))
(* x (exp (pow y 2)))
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(* 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 (* y (+ 1 (* 1/2 (pow y 2)))))
(* x (* y (+ 1 (* 1/2 (pow y 2)))))
(* x (* y (+ 1 (* 1/2 (pow y 2)))))
(* x (* y (+ 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 (* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
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(* x (* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(* x (* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
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(* x (exp (pow y 2)))
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(* x (exp (pow y 2)))
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(* 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 (* y (+ 1 (* 1/2 (pow y 2)))))
(* x (* y (+ 1 (* 1/2 (pow y 2)))))
(* x (* y (+ 1 (* 1/2 (pow y 2)))))
(* x (* y (+ 1 (* 1/2 (pow y 2)))))
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(* x (+ 1 (* 1/2 (pow y 2))))
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(* 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 (* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(* x (* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(* x (* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(* x (* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* x (+ 1 (* (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))))))
(* 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 (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 y)
(* x y)
(* x y)
(* x y)
(* 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)))
(* -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 (* y (- (* -1/2 (pow y 2)) 1))))
(* -1 (* x (* y (- (* -1/2 (pow y 2)) 1))))
(* -1 (* x (* y (- (* -1/2 (pow y 2)) 1))))
(* -1 (* x (* y (- (* -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)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(* x (* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(* x (* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(* x (* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(* x (* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* x (+ 1 (* (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))))))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* 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))))))
(.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))
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))))))
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y 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))))))
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)
1
#s(literal 1 binary64)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 (* y (+ 1 (* 1/2 y))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 (* y (+ 1 (* 1/2 y))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
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))))))
(.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)
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 y)
(*.f64 y x)
(* y (+ x (* 1/2 (* x (pow y 2)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) x) y)
(* y (+ x (* 1/2 (* x (pow y 2)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) x) y)
(* y (+ x (* 1/2 (* x (pow y 2)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) x) y)
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))))))
(.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)
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))))))
(.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)
(* x y)
(*.f64 y x)
(* y (+ x (* 1/2 (* x (pow y 2)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) x) y)
(* y (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) x) y)
(* y (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) x) y)
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)
(* 1/6 (pow y 3))
(.f64 (.f64 (*.f64 y y) y) #s(literal 1/6 binary64))
(* 1/6 (pow y 3))
(.f64 (.f64 (*.f64 y y) y) #s(literal 1/6 binary64))
(* 1/6 (pow y 3))
(.f64 (.f64 (*.f64 y y) y) #s(literal 1/6 binary64))
(* 1/6 (pow y 3))
(.f64 (.f64 (*.f64 y y) y) #s(literal 1/6 binary64))
(pow y 3)
(.f64 (.f64 y y) y)
(pow y 3)
(.f64 (.f64 y y) y)
(pow y 3)
(.f64 (.f64 y y) y)
(pow y 3)
(.f64 (.f64 y y) y)
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))
(* 1/6 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 (* 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
#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 (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 (.f64 y y) y) #s(literal 1/6 binary64)) 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)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(* 1/6 (pow y 3))
(.f64 (.f64 (*.f64 y y) y) #s(literal 1/6 binary64))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(* 1/6 (pow y 2))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(* 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)
(* 1/2 (* x (pow y 4)))
(.f64 (.f64 (.f64 (.f64 (*.f64 y y) y) x) #s(literal 1/2 binary64)) y)
(* (pow y 4) (+ (* 1/2 x) (/ x (pow y 2))))
(.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 x (.f64 y y))) (.f64 (.f64 y y) (*.f64 y y)))
(* (pow y 4) (+ (* 1/2 x) (+ (/ x (pow y 2)) (/ x (pow y 4)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) x (+.f64 (/.f64 x (.f64 (.f64 y y) (.f64 y y))) (/.f64 x (.f64 y y)))) (.f64 (.f64 y y) (.f64 y y)))
(* (pow y 4) (+ (* 1/2 x) (+ (/ x (pow y 2)) (/ x (pow y 4)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) x (+.f64 (/.f64 x (.f64 (.f64 y y) (.f64 y y))) (/.f64 x (.f64 y y)))) (.f64 (.f64 y y) (.f64 y y)))
(* 1/2 (* x (pow y 3)))
(.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/2 binary64))
(* (pow y 3) (+ (* 1/2 x) (/ x (pow y 2))))
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rewrite183.0ms (0.7%)

Memory

16.7MiB live, 370.2MiB allocated

Rules

5 396×	`lower-fma.f32`
5 382×	`lower-fma.f64`
5 076×	`lower-*.f32`
5 050×	`lower-*.f64`
4 248×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	416
0	80	396
1	281	396
2	1590	388
0	8144	377

Stop Event

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

Counts

26 → 377

Calls

Call 1

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

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

eval219.0ms (0.8%)

Memory: -12.5MiB live, 229.3MiB allocated
Compiler: Compiled 24 745 to 1 690 computations (93.2% saved)

prune251.0ms (0.9%)

Memory

25.2MiB live, 344.3MiB allocated

Pruning

36 alts after pruning (26 fresh and 10 done)

	Pruned	Kept	Total
New	864	9	873
Fresh	3	17	20
Picked	2	3	5
Done	1	7	8
Total	870	36	906

Accuracy

100.0%

Counts

906 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	98.6%	(*.f64 x (exp.f64 y))
✓	90.8%	(.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))))
	95.3%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/6 binary64)) y)) y) y #s(literal 1 binary64))))
	71.9%	(.f64 x #s(approx (exp ( y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal 1/6 binary64)))) (.f64 y y) #s(literal 1 binary64))))
	90.5%	(.f64 x #s(approx (exp ( y y)) (fma.f64 #s(approx (+ (* 1/2 (* y y)) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))))
	51.5%	(.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))))))
	95.3%	(.f64 x #s(approx (exp ( y y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))))))
	44.5%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) y))))
	44.3%	(.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)))))
	34.5%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
✓	50.2%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
✓	84.9%	(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
	85.4%	(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y #s(literal 1 binary64))))
	40.0%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
	39.4%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))))
	39.2%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))
	94.1%	#s(approx (* x (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 (.f64 y y) x) x))
✓	87.9%	#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))
	94.1%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (/.f64 x (/.f64 #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)))) y) y x))
	69.9%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (.f64 y y) y) y) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) y) y))) (*.f64 y y) #s(literal 1 binary64)) x) y) y x))
	71.4%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y) #s(literal -1/4 binary64)) (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) y) y x))
	93.8%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 #s(approx (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/6 binary64)) y)) x) y) y x))
✓	87.6%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 #s(approx (+ ( 1/2 (* (* y y) x)) x) (.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x))
	92.8%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 #s(approx ( (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y x) #s(literal 1/6 binary64)) y) y) y)) y) y x))
	69.9%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x (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) x))
✓	87.6%	#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))
	73.4%	#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
	92.8%	#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* x (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 (.f64 y y) x))) (*.f64 y y) x))
	41.3%	#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)))
	42.0%	#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))))
	80.9%	#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
	82.3%	#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))
✓	60.2%	#s(approx (* x (exp y)) (fma.f64 y x x))
	40.8%	#s(approx (* x (exp y)) (/.f64 (.f64 (fma.f64 y x x) (-.f64 (.f64 y x) x)) (-.f64 (*.f64 y x) x)))
✓	15.3%	#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 1 408 to 490 computations (65.2% saved)

regimes101.0ms (0.4%)

Memory

-35.5MiB live, 131.9MiB allocated

Counts

47 → 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))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))))
(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (*.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 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y 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 (.f64 #s(approx (+ ( 1/2 (* (* y y) x)) x) (.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) y))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 #s(approx (+ (* 1/2 (* y y)) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64))) (*.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))
(.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 x #s(approx (+ ( (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/6 binary64)) y))) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 #s(approx ( (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y x) #s(literal 1/6 binary64)) y) y) y)) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 #s(approx (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/6 binary64)) y)) x) 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 (.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/6 binary64)) y)) y) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* x (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 (.f64 y y) x))) (*.f64 y y) x))
#s(approx (* x (exp y)) (/.f64 (.f64 (fma.f64 y x x) (-.f64 (.f64 y x) x)) (-.f64 (*.f64 y x) x)))
#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 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 y y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) x) x) (.f64 y y) x))
#s(approx (* x (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 (.f64 y y) x) 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 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 (.f64 (/.f64 x (/.f64 #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)))) 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 y y) (.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal 1/6 binary64)))) (.f64 y y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))))))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x (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) x))
#s(approx (* x (exp (* y y))) (fma.f64 (/.f64 (.f64 x (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) x)) (.f64 y y)) x)) (-.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) x) x)) (.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (.f64 y y) y) y) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) y) y))) (*.f64 y y) #s(literal 1 binary64)) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y) #s(literal -1/4 binary64)) (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) y) y 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))))))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) #s(literal 1/216 binary64) #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) x))
(*.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	y
14.0ms	(.f64 x (exp.f64 (.f64 y y)))
13.0ms	(*.f64 y y)
13.0ms	x
10.0ms	(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)

regimes95.0ms (0.3%)

Memory

19.6MiB live, 95.6MiB allocated

Counts

46 → 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))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))))
(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (*.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 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y 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 (.f64 #s(approx (+ ( 1/2 (* (* y y) x)) x) (.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) y))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 #s(approx (+ (* 1/2 (* y y)) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64))) (*.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))
(.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 x #s(approx (+ ( (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/6 binary64)) y))) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 #s(approx ( (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y x) #s(literal 1/6 binary64)) y) y) y)) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 #s(approx (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/6 binary64)) y)) x) 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 (.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/6 binary64)) y)) y) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* x (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 (.f64 y y) x))) (*.f64 y y) x))
#s(approx (* x (exp y)) (/.f64 (.f64 (fma.f64 y x x) (-.f64 (.f64 y x) x)) (-.f64 (*.f64 y x) x)))
#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 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 y y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) x) x) (.f64 y y) x))
#s(approx (* x (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 (.f64 y y) x) 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 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 (.f64 (/.f64 x (/.f64 #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)))) 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 y y) (.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal 1/6 binary64)))) (.f64 y y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))))))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x (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) x))
#s(approx (* x (exp (* y y))) (fma.f64 (/.f64 (.f64 x (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) x)) (.f64 y y)) x)) (-.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) x) x)) (.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (.f64 y y) y) y) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) y) y))) (*.f64 y y) #s(literal 1 binary64)) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y) #s(literal -1/4 binary64)) (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) y) y 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))))))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) #s(literal 1/216 binary64) #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) x))
(*.f64 x (exp.f64 y))

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

Calls

5 calls:

44.0ms	(.f64 x (exp.f64 (.f64 y y)))
15.0ms	x
12.0ms	y
11.0ms	(*.f64 y y)
10.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`y`
98.6%	1	`(.f64 x (exp.f64 (.f64 y y)))`
98.6%	1	`(exp.f64 (*.f64 y y))`
98.6%	1	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes65.0ms (0.2%)

Memory

-16.0MiB live, 104.2MiB allocated

Counts

45 → 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))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))))
(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (*.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 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y 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 (.f64 #s(approx (+ ( 1/2 (* (* y y) x)) x) (.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) y))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 #s(approx (+ (* 1/2 (* y y)) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64))) (*.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))
(.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 x #s(approx (+ ( (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/6 binary64)) y))) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 #s(approx ( (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y x) #s(literal 1/6 binary64)) y) y) y)) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 #s(approx (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/6 binary64)) y)) x) 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 (.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/6 binary64)) y)) y) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* x (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 (.f64 y y) x))) (*.f64 y y) x))
#s(approx (* x (exp y)) (/.f64 (.f64 (fma.f64 y x x) (-.f64 (.f64 y x) x)) (-.f64 (*.f64 y x) x)))
#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 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 y y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) x) x) (.f64 y y) x))
#s(approx (* x (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 (.f64 y y) x) 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 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 (.f64 (/.f64 x (/.f64 #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)))) 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 y y) (.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal 1/6 binary64)))) (.f64 y y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))))))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x (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) x))
#s(approx (* x (exp (* y y))) (fma.f64 (/.f64 (.f64 x (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) x)) (.f64 y y)) x)) (-.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) x) x)) (.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (.f64 y y) y) y) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) y) y))) (*.f64 y y) #s(literal 1 binary64)) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y) #s(literal -1/4 binary64)) (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) y) y 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))))))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) #s(literal 1/216 binary64) #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) x))

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:

14.0ms	(.f64 x (exp.f64 (.f64 y y)))
13.0ms	x
12.0ms	y
12.0ms	(exp.f64 (*.f64 y y))
11.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
95.6%	1	`x`
95.6%	1	`y`
95.6%	1	`(.f64 x (exp.f64 (.f64 y y)))`
95.6%	1	`(exp.f64 (*.f64 y y))`
95.6%	1	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes47.0ms (0.2%)

Memory

31.7MiB live, 69.7MiB allocated

Counts

34 → 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))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))))
(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (*.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 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y 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 (.f64 #s(approx (+ ( 1/2 (* (* y y) x)) x) (.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) y))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 #s(approx (+ (* 1/2 (* y y)) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64))) (*.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))
(.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 x #s(approx (+ ( (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/6 binary64)) y))) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 #s(approx ( (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y x) #s(literal 1/6 binary64)) y) y) y)) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 #s(approx (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/6 binary64)) y)) x) 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 (.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/6 binary64)) y)) y) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* x (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 (.f64 y y) x))) (*.f64 y y) x))
#s(approx (* x (exp y)) (/.f64 (.f64 (fma.f64 y x x) (-.f64 (.f64 y x) x)) (-.f64 (*.f64 y x) x)))
#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 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 y y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) x) x) (.f64 y y) x))
#s(approx (* x (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 (.f64 y y) x) 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 (.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))))

Calls

5 calls:

11.0ms	(.f64 x (exp.f64 (.f64 y y)))
10.0ms	x
10.0ms	y
8.0ms	(*.f64 y y)
7.0ms	(exp.f64 (*.f64 y y))

Results

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

Compiler

Compiled 25 to 16 computations (36% saved)

regimes43.0ms (0.2%)

Memory

-6.5MiB live, 31.5MiB allocated

Counts

26 → 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))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))))
(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (*.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 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y 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 (.f64 #s(approx (+ ( 1/2 (* (* y y) x)) x) (.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) y))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 #s(approx (+ (* 1/2 (* y y)) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64))) (*.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))
(.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 x #s(approx (+ ( (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/6 binary64)) y))) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 #s(approx ( (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y x) #s(literal 1/6 binary64)) y) y) y)) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 #s(approx (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/6 binary64)) y)) x) y) y x))

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

Calls

5 calls:

14.0ms	y
8.0ms	x
7.0ms	(.f64 x (exp.f64 (.f64 y y)))
7.0ms	(*.f64 y y)
6.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
93.8%	1	`x`
93.8%	1	`(.f64 x (exp.f64 (.f64 y y)))`
93.8%	1	`(exp.f64 (*.f64 y y))`
93.8%	1	`y`
93.8%	1	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes39.0ms (0.1%)

Memory

-6.2MiB live, 37.0MiB 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))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))))
(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (*.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 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y 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 (.f64 #s(approx (+ ( 1/2 (* (* y y) x)) x) (.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) y))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 #s(approx (+ (* 1/2 (* y y)) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64))) (*.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))
(.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:

12.0ms	y
7.0ms	x
7.0ms	(.f64 x (exp.f64 (.f64 y y)))
6.0ms	(*.f64 y y)
5.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
90.8%	1	`x`
90.8%	1	`y`
90.8%	1	`(.f64 x (exp.f64 (.f64 y y)))`
90.8%	1	`(exp.f64 (*.f64 y y))`
90.8%	1	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes59.0ms (0.2%)

Memory

7.2MiB live, 43.5MiB allocated

Counts

22 → 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))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))))
(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (*.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 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y 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 (.f64 #s(approx (+ ( 1/2 (* (* y y) x)) x) (.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) y))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 #s(approx (+ (* 1/2 (* y y)) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64))) (*.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))

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

Calls

5 calls:

32.0ms	(exp.f64 (*.f64 y y))
7.0ms	x
7.0ms	y
6.0ms	(.f64 x (exp.f64 (.f64 y y)))
6.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
90.5%	1	`x`
90.5%	1	`(.f64 x (exp.f64 (.f64 y y)))`
90.5%	1	`(exp.f64 (*.f64 y y))`
90.5%	1	`y`
90.5%	1	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes41.0ms (0.1%)

Memory

15.2MiB live, 51.1MiB allocated

Counts

20 → 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))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))))
(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (*.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 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y 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 (.f64 #s(approx (+ ( 1/2 (* (* y y) x)) x) (.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) y))))

Outputs

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

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

Calls

5 calls:

17.0ms	y
6.0ms	x
6.0ms	(.f64 x (exp.f64 (.f64 y y)))
6.0ms	(*.f64 y y)
5.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
87.6%	1	`x`
90.8%	2	`(.f64 x (exp.f64 (.f64 y y)))`
90.8%	2	`(exp.f64 (*.f64 y y))`
90.8%	2	`y`
90.8%	2	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes37.0ms (0.1%)

Memory

-3.4MiB live, 34.7MiB allocated

Counts

19 → 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))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))))
(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (*.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 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y 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 (.f64 #s(approx (+ ( 1/2 (* (* y y) x)) x) (.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x))

Outputs

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

4 calls:

20.0ms	(*.f64 y y)
6.0ms	y
5.0ms	(.f64 x (exp.f64 (.f64 y y)))
4.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
90.8%	2	`(.f64 x (exp.f64 (.f64 y y)))`
90.8%	2	`(exp.f64 (*.f64 y y))`
90.8%	2	`y`
90.8%	2	`(*.f64 y y)`

Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes46.0ms (0.2%)

Memory

-18.0MiB live, 28.0MiB 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))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))))
(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (*.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 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y 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

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

#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))))

Calls

5 calls:

26.0ms	y
5.0ms	x
5.0ms	(.f64 x (exp.f64 (.f64 y y)))
5.0ms	(*.f64 y y)
4.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
85.4%	1	`x`
88.5%	2	`(.f64 x (exp.f64 (.f64 y y)))`
88.5%	2	`(exp.f64 (*.f64 y y))`
88.5%	2	`y`
88.5%	2	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes48.0ms (0.2%)

Memory

4.7MiB live, 43.5MiB 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))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))))
(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (*.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 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))

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

Calls

5 calls:

30.0ms	(.f64 x (exp.f64 (.f64 y y)))
5.0ms	y
5.0ms	x
4.0ms	(*.f64 y y)
4.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
85.4%	1	`x`
85.4%	1	`y`
85.4%	1	`(.f64 x (exp.f64 (.f64 y y)))`
85.4%	1	`(exp.f64 (*.f64 y y))`
85.4%	1	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes35.0ms (0.1%)

Memory

-11.2MiB live, 27.4MiB allocated

Counts

8 → 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))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))))

Outputs

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

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

Calls

5 calls:

23.0ms	(*.f64 y y)
3.0ms	x
3.0ms	y
3.0ms	(.f64 x (exp.f64 (.f64 y y)))
2.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
85.6%	2	`y`
85.6%	2	`(*.f64 y y)`
85.6%	2	`(.f64 x (exp.f64 (.f64 y y)))`
85.6%	2	`(exp.f64 (*.f64 y y))`
80.7%	1	`x`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes11.0ms (0%)

Memory

19.8MiB live, 19.8MiB allocated

Counts

7 → 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))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
85.6%	2	`y`
85.6%	2	`(*.f64 y y)`
85.6%	2	`(.f64 x (exp.f64 (.f64 y y)))`
85.6%	2	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes46.0ms (0.2%)

Memory

-19.5MiB live, 18.4MiB allocated

Counts

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

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

Calls

4 calls:

39.0ms	y
3.0ms	(.f64 x (exp.f64 (.f64 y y)))
2.0ms	(*.f64 y y)
2.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
80.7%	1	`y`
80.7%	1	`(*.f64 y y)`
80.7%	1	`(.f64 x (exp.f64 (.f64 y y)))`
80.7%	1	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes12.0ms (0%)

Memory

21.8MiB live, 21.8MiB allocated

Counts

5 → 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))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
80.7%	2	`y`
80.7%	2	`(*.f64 y y)`
73.4%	1	`x`
80.7%	2	`(.f64 x (exp.f64 (.f64 y y)))`
80.7%	2	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes52.0ms (0.2%)

Memory

-26.1MiB live, 14.4MiB 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

4 calls:

46.0ms	(.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
80.4%	2	`(.f64 x (exp.f64 (.f64 y y)))`
80.4%	2	`(exp.f64 (*.f64 y y))`
80.4%	2	`y`
80.4%	2	`(*.f64 y y)`

Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes9.0ms (0%)

Memory

16.6MiB live, 16.6MiB 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

5 calls:

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

Results

Accuracy	Segments	Branch
60.2%	1	`x`
60.2%	1	`y`
60.2%	1	`(*.f64 y y)`
60.2%	1	`(.f64 x (exp.f64 (.f64 y y)))`
60.2%	1	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes8.0ms (0%)

Memory

15.8MiB live, 15.8MiB 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:

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

Results

Accuracy	Segments	Branch
60.7%	2	`y`
60.7%	2	`(*.f64 y y)`
50.2%	1	`x`
60.7%	2	`(.f64 x (exp.f64 (.f64 y y)))`
60.7%	2	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes63.0ms (0.2%)

Memory

-23.8MiB live, 14.3MiB 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:

58.0ms	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
15.3%	1	`x`
15.3%	1	`(*.f64 y y)`
15.3%	1	`y`
15.3%	1	`(.f64 x (exp.f64 (.f64 y y)))`
15.3%	1	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 25 to 16 computations (36% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.4905014435731156	7287.884704621115

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	0.4905014435731156	7287.884704621115

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	0.4905014435731156	7287.884704621115

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.6331349396868864	+inf

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	1.6331349396868864	+inf

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.2303144181903186e+74	7.55279234493364e+75

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.6331349396868864	+inf

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.6331349396868864	+inf

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify9.0ms (0%)

Memory

16.8MiB live, 16.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	617
1	150	617

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 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x #s(approx (+ ( (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #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 x #s(approx (exp ( y y)) (fma.f64 #s(approx (+ (* 1/2 (* y y)) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 y y) #s(literal 1/2 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (.f64 y x)) y x)) (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) y)))))
(if (<=.f64 (.f64 y y) #s(literal 1/2 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (.f64 y x)) 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 1/2 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (.f64 y x)) y x)) #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)))))
(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y #s(literal 1 binary64))))
(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) y) (.f64 y x)) y x)) (.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y))))))
(if (<=.f64 (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) y) (.f64 y x)) y x)) (.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (*.f64 y y) y) #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 499999999999999963269890588240599461754401607599733943631323209890181152768 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (.f64 y x)) y x)) (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 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 (exp.f64 (.f64 y y)) #s(literal 2 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 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/6 binary64)) 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 (.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))) x)
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x #s(approx (+ ( (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/6 binary64)) y))) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/6 binary64)) y)) 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))))
(.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)
(.f64 x #s(approx (exp ( y y)) (fma.f64 #s(approx (+ (* 1/2 (* y y)) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (exp ( y y)) (fma.f64 #s(approx (+ (* 1/2 (* y y)) 1) (.f64 #s(literal 1/2 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)
(if (<=.f64 (.f64 y y) #s(literal 1/2 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (.f64 y x)) y x)) (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) y)))))
(if (<=.f64 (.f64 y y) #s(literal 1/2 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (.f64 y x)) y x)) (.f64 #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) y))) x))
(if (<=.f64 (.f64 y y) #s(literal 1/2 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (.f64 y x)) 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 1/2 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (.f64 y x)) 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 1/2 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (.f64 y x)) y x)) #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)))))
(if (<=.f64 (.f64 y y) #s(literal 1/2 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (.f64 y x)) y x)) #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 y y)) y) (*.f64 y x)))))
(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y #s(literal 1 binary64))))
(.f64 #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y #s(literal 1 binary64))) 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) y) (.f64 y x)) y x)) (.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y))))))
(if (<=.f64 (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) y) (.f64 y x)) y x)) (.f64 #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))) x))
(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) y) (.f64 y x)) y x)) (.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (*.f64 y y) y) #s(literal 1/6 binary64))))))
(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) y) (.f64 y x)) y x)) (.f64 #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) x))
(.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 499999999999999963269890588240599461754401607599733943631323209890181152768 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (.f64 y x)) y x)) (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))))
(if (<=.f64 (.f64 y y) #s(literal 499999999999999963269890588240599461754401607599733943631323209890181152768 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (.f64 y x)) y x)) (.f64 #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))) x))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 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 (exp.f64 (.f64 y y)) #s(literal 2 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 (exp.f64 (.f64 y y)) #s(literal 2 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 (exp.f64 (.f64 y y)) #s(literal 2 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)))

soundness2.8s (10%)

Memory

-13.6MiB live, 1 375.4MiB allocated

Rules

21 164×	`lower-fma.f64`
21 164×	`lower-fma.f32`
21 132×	`lower-fma.f64`
21 132×	`lower-fma.f32`
17 148×	`lower-fma.f64`

Iterations

Useful iterations: 4 (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
0	34	275
0	59	275
1	223	275
2	1575	275
0	8178	272
0	169	3182
1	559	3182
2	1581	2992
3	3715	2978
4	7337	2978
0	8045	2701
0	202	4104
1	691	4016
2	2109	3778
3	5007	3776
0	8139	3454
0	93	1914
1	289	1914
2	719	1832
3	1951	1828
4	4749	1828
0	8117	1682
0	5	13
0	8	13
1	13	13
2	26	13
3	69	13
4	294	5
0	2666	5

Stop Event

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

Compiler

Compiled 827 to 360 computations (56.5% saved)

preprocess228.0ms (0.8%)

Memory

12.6MiB live, 278.0MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 980 to 346 computations (64.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	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%)

sample592.0ms (2.1%)

explain132.0ms (0.5%)

preprocess38.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize52.0ms (0.2%)

series5.0ms (0%)

simplify86.0ms (0.3%)

rewrite99.0ms (0.4%)

eval5.0ms (0%)

prune42.0ms (0.2%)

simplify16.0ms (0.1%)

localize67.0ms (0.2%)

series32.0ms (0.1%)

simplify497.0ms (1.8%)

rewrite681.0ms (2.5%)

eval112.0ms (0.4%)

prune291.0ms (1%)

simplify129.0ms (0.5%)

localize18.6s (67.1%)

series35.0ms (0.1%)

simplify418.0ms (1.5%)

rewrite224.0ms (0.8%)

eval110.0ms (0.4%)

prune332.0ms (1.2%)

simplify109.0ms (0.4%)

localize184.0ms (0.7%)

series81.0ms (0.3%)

simplify219.0ms (0.8%)

rewrite183.0ms (0.7%)

eval219.0ms (0.8%)

prune251.0ms (0.9%)

regimes101.0ms (0.4%)

regimes95.0ms (0.3%)

regimes65.0ms (0.2%)

regimes47.0ms (0.2%)

regimes43.0ms (0.2%)

regimes39.0ms (0.1%)

regimes59.0ms (0.2%)

regimes41.0ms (0.1%)

regimes37.0ms (0.1%)

regimes46.0ms (0.2%)

regimes48.0ms (0.2%)

regimes35.0ms (0.1%)

regimes11.0ms (0%)

regimes46.0ms (0.2%)

regimes12.0ms (0%)

regimes52.0ms (0.2%)

regimes9.0ms (0%)

regimes8.0ms (0%)

regimes63.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0%)

soundness2.8s (10%)

preprocess228.0ms (0.8%)

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