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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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)

sample889.0ms (3.2%)

Memory

-23.5MiB live, 863.3MiB allocated

Samples

438.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 194.0ms

ival-mult: 124.0ms (64% of total)

ival-exp: 61.0ms (31.5% of total)

ival-true: 6.0ms (3.1% of total)

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

Bogosity

explain119.0ms (0.4%)

Memory

26.2MiB live, 101.4MiB 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

89.0ms

512×

valid

Compiler

Compiled 42 to 19 computations (54.8% saved)

Precisions

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

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

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

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

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

preprocess48.0ms (0.2%)

Memory

-8.5MiB live, 27.0MiB 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)))

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

1.2MiB live, 1.2MiB 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

7.4MiB live, 7.4MiB 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)))
x
(exp.f64 (*.f64 y y))
(*.f64 y y)
y

localize22.0ms (0.1%)

Memory

-10.0MiB live, 35.8MiB 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

17.0ms

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)

series4.0ms (0%)

Memory

10.4MiB live, 10.4MiB 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 (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>) () ())) ())
#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 (* 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 (* 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 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 (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 (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 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 (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 (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>) () ())) ())

Calls

12 calls:

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

simplify67.0ms (0.2%)

Memory

2.8MiB live, 76.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	272
1	95	272
2	276	266
3	750	264
4	989	264
5	1161	264
6	1318	264
7	1436	264
8	1436	262
9	1767	262
10	1800	262
11	1801	262
12	1823	262
0	1823	250

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 47

Calls

Call 1

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

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

rewrite62.0ms (0.2%)

Memory

-19.8MiB live, 70.4MiB 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 x #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64)))
(.f64 (.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 0 binary64)
y

eval5.0ms (0%)

Memory: 12.3MiB live, 12.3MiB allocated
Compiler: Compiled 393 to 34 computations (91.3% saved)

prune16.0ms (0.1%)

Memory

-5.2MiB live, 32.2MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	46	8	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	8	55

Accuracy

100.0%

Counts

55 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(*.f64 x (exp.f64 y))
▶	95.1%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64))))
▶	92.8%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 y (.f64 (.f64 y y) #s(literal 1/2 binary64)) y) #s(literal 1 binary64))))
▶	83.4%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
▶	54.4%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
	94.4%	#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 x (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y)) x))
	89.1%	#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 x (fma.f64 y (.f64 (*.f64 y y) #s(literal 1/2 binary64)) y)) x))
	83.4%	#s(approx (* x (exp (* y y))) (fma.f64 x (*.f64 y y) x))

Compiler

Compiled 208 to 114 computations (45.2% saved)

simplify28.0ms (0.1%)

Memory

13.1MiB live, 49.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

886×	`lower-fma.f32`
874×	`lower-fma.f64`
398×	`lower-*.f32`
380×	`lower-*.f64`
206×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	214
0	48	214
1	92	206
2	186	206
3	304	206
4	485	206
5	541	206
6	637	206
7	647	206
8	654	206
0	654	198

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

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

localize113.0ms (0.4%)

Memory

-9.4MiB live, 150.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.046875	(.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
accuracy	0.05078125	(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
accuracy	0.28515625	(*.f64 y #s(literal 1/6 binary64))
accuracy	3.7988093733014563	#s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)))
accuracy	0.01171875	(fma.f64 y (fma.f64 y (.f64 (.f64 y y) #s(literal 1/2 binary64)) y) #s(literal 1 binary64))
accuracy	0.0390625	(fma.f64 y (.f64 (.f64 y y) #s(literal 1/2 binary64)) y)
accuracy	0.2104174077560894	(.f64 (.f64 y y) #s(literal 1/2 binary64))
accuracy	6.139406211278858	#s(approx (exp (* y y)) (fma.f64 y (fma.f64 y (.f64 (.f64 y y) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))
accuracy	0	(fma.f64 y y #s(literal 1 binary64))
accuracy	0.00390625	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
accuracy	13.78517225163008	#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	29.417931174995125	#s(approx (exp (* y y)) #s(literal 1 binary64))
accuracy	0	(exp.f64 y)
accuracy	0.01171875	(*.f64 x (exp.f64 y))

Samples

81.0ms

256×

valid

Compiler

Compiled 155 to 26 computations (83.2% saved)

Precisions

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

ival-mult: 16.0ms (52% of total)

ival-add: 7.0ms (22.8% of total)

ival-exp: 4.0ms (13% of total)

const: 3.0ms (9.8% of total)

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

exact: 0.0ms (0% of total)

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

series46.0ms (0.2%)

Memory

-15.7MiB live, 22.0MiB allocated

Counts

19 → 288

Calls

Call 1

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

Outputs
#s(alt (* x (exp y)) (taylor 0 x) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor 0 x) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor 0 x) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor 0 x) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor inf x) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor inf x) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor inf x) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor inf x) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#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 (* x (exp y)) (taylor inf y) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor inf y) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor inf y) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor inf y) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf y) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf y) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf y) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf 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 (exp y) (taylor inf y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (exp y) (taylor inf y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (exp y) (taylor inf y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (exp y) (taylor inf y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (exp y) (taylor -inf y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (exp y) (taylor -inf y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (exp y) (taylor -inf y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (exp y) (taylor -inf y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#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 (exp (pow y 2))) (taylor 0 x) (#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 (exp (pow y 2))) (taylor 0 x) (#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 (exp (pow y 2))) (taylor 0 x) (#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 (exp (pow y 2))) (taylor inf x) (#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 (exp (pow y 2))) (taylor inf x) (#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 (exp (pow y 2))) (taylor inf x) (#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 (exp (pow y 2))) (taylor inf x) (#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>) () ())) ())
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#s(alt (* 1/6 (pow y 6)) (taylor -inf y) (#s(alt (fma.f64 y (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) (patch (fma.f64 y (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 6) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 y (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) (patch (fma.f64 y (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) (taylor -inf y) (#s(alt (fma.f64 y (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) (patch (fma.f64 y (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6)))))) (taylor -inf y) (#s(alt (fma.f64 y (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) (patch (fma.f64 y (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) (patch (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/2 (pow y 2)))) (taylor 0 y) (#s(alt (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) (patch (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))) (taylor 0 y) (#s(alt (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) (patch (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))) (taylor 0 y) (#s(alt (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) (patch (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 5)) (taylor inf y) (#s(alt (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) (patch (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 5) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) (patch (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) (taylor inf y) (#s(alt (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) (patch (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) (taylor inf y) (#s(alt (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) (patch (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 5)) (taylor -inf y) (#s(alt (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) (patch (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 5) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) (patch (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow y 2))) (pow y 2))) 1/6))) (taylor -inf y) (#s(alt (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) (patch (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow y 2))) (pow y 2))) 1/6))) (taylor -inf y) (#s(alt (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) (patch (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) #s(literal 1/2 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) #s(literal 1/2 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) #s(literal 1/2 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) #s(literal 1/2 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow y 2)) (taylor inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/2 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow y 2)) (taylor inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/2 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow y 2)) (taylor inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/2 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow y 2)) (taylor inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/2 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/2 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/2 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/2 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/2 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 1/6 binary64)) (patch (.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 1/6 binary64)) (patch (.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 1/6 binary64)) (patch (.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 1/6 binary64)) (patch (.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (.f64 y #s(literal 1/6 binary64)) (patch (.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (.f64 y #s(literal 1/6 binary64)) (patch (.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (.f64 y #s(literal 1/6 binary64)) (patch (.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (.f64 y #s(literal 1/6 binary64)) (patch (.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 1/6 binary64)) (patch (.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 1/6 binary64)) (patch (.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 1/6 binary64)) (patch (.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 1/6 binary64)) (patch (.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 y) (#s(alt (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 2)) (taylor inf y) (#s(alt (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 2)) (taylor -inf y) (#s(alt (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (patch (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* 1/6 (pow y 2)))) (taylor 0 y) (#s(alt (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (patch (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* 1/6 (pow y 2)))) (taylor 0 y) (#s(alt (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (patch (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* 1/6 (pow y 2)))) (taylor 0 y) (#s(alt (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (patch (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 3)) (taylor inf y) (#s(alt (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (patch (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (patch (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (patch (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (patch (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 3)) (taylor -inf y) (#s(alt (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (patch (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (patch (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (patch (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (patch (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())

Calls

72 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(* y 1/6)
1.0ms	y	@	0	(* x (exp y))
0.0ms	x	@	0	(* x (exp y))
0.0ms	y	@	-inf	(+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1)
0.0ms	y	@	inf	(+ (* y (+ (* y (* (* y y) 1/2)) y)) 1)

simplify393.0ms (1.4%)

Memory

13.0MiB live, 535.1MiB allocated

Algorithm

1×	egg-herbie

Rules

26 516×	`lower-fma.f64`
26 516×	`lower-fma.f32`
5 388×	`lower-*.f64`
5 388×	`lower-*.f32`
3 368×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	1910
1	341	1850
2	850	1834
3	3131	1820
4	6079	1820
0	8520	1685

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 281

Calls

Call 1

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

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

rewrite500.0ms (1.8%)

Memory

9.4MiB live, 528.3MiB allocated

Rules

8 204×	`lower-fma.f32`
8 192×	`lower-fma.f64`
5 198×	`lower-*.f32`
5 180×	`lower-*.f64`
4 052×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	192
0	48	192
1	160	184
2	1097	184
0	8381	176

Stop Event

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

Counts

19 → 379

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

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

eval312.0ms (1.1%)

Memory: -10.4MiB live, 135.8MiB allocated
Compiler: Compiled 20 744 to 1 726 computations (91.7% saved)

prune148.0ms (0.5%)

Memory

6.6MiB live, 250.8MiB allocated

Pruning

25 alts after pruning (21 fresh and 4 done)

	Pruned	Kept	Total
New	641	19	660
Fresh	1	2	3
Picked	1	4	5
Done	0	0	0
Total	643	25	668

Accuracy

100.0%

Counts

668 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.1%	(.f64 #s(approx (exp ( y y)) (fma.f64 y (fma.f64 y (.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64))) x)
✓	99.2%	(*.f64 x (exp.f64 y))
	95.1%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (.f64 y (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 y (.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))))
	70.9%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y) #s(literal 1 binary64))))
	58.4%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) y) (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 y y) #s(literal -1/12 binary64)))) y) #s(literal 1 binary64))))
▶	70.9%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y) #s(literal 1 binary64))))
▶	95.1%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64))))
	70.9%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) y) #s(literal 1 binary64))))
▶	95.0%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (.f64 y #s(approx (+ (* y (* y 1/6)) 1/2) (.f64 y (.f64 y #s(literal 1/6 binary64))))) y) #s(literal 1 binary64))))
✓	92.8%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 y (.f64 (.f64 y y) #s(literal 1/2 binary64)) y) #s(literal 1 binary64))))
	65.3%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y #s(approx (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (.f64 (.f64 y (.f64 y (.f64 y y))) y))) #s(literal 1 binary64))))
✓	83.4%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
	54.3%	(.f64 x #s(approx (exp ( y y)) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))))
	44.7%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
	44.5%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
	44.4%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/6 binary64))))))))
▶	42.5%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y (fma.f64 (.f64 y #s(literal 1/2 binary64)) (*.f64 y y) y)))))
	42.2%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y (.f64 y y)))))))
	33.1%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
✓	54.4%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
	87.9%	(*.f64 x #s(approx (exp y) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
	92.6%	#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 y (fma.f64 (.f64 x (.f64 y y)) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) x))
	89.1%	#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 x (fma.f64 y (.f64 (*.f64 y y) #s(literal 1/2 binary64)) y)) x))
	83.4%	#s(approx (* x (exp (* y y))) (fma.f64 x (*.f64 y y) x))
▶	66.7%	#s(approx (* x (exp y)) (fma.f64 x y x))

Compiler

Compiled 967 to 484 computations (49.9% saved)

simplify137.0ms (0.5%)

Memory

26.9MiB live, 141.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y)
cost-diff	0	(fma.f64 y (fma.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y) #s(literal 1 binary64)))
cost-diff	0	(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y) #s(literal 1 binary64))))
cost-diff	0	(fma.f64 (.f64 y y) (.f64 y #s(approx (+ (* y (* y 1/6)) 1/2) (.f64 y (.f64 y #s(literal 1/6 binary64))))) y)
cost-diff	0	(fma.f64 y (fma.f64 (.f64 y y) (.f64 y #s(approx (+ (* y (* y 1/6)) 1/2) (.f64 y (.f64 y #s(literal 1/6 binary64))))) y) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (.f64 y #s(approx (+ (* y (* y 1/6)) 1/2) (.f64 y (.f64 y #s(literal 1/6 binary64))))) y) #s(literal 1 binary64)))
cost-diff	0	(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (.f64 y #s(approx (+ (* y (* y 1/6)) 1/2) (.f64 y (.f64 y #s(literal 1/6 binary64))))) y) #s(literal 1 binary64))))
cost-diff	0	(.f64 y (fma.f64 (.f64 y #s(literal 1/2 binary64)) (*.f64 y y) y))
cost-diff	0	#s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y (fma.f64 (.f64 y #s(literal 1/2 binary64)) (*.f64 y y) y)))
cost-diff	0	#s(approx (exp (* y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y (fma.f64 (.f64 y #s(literal 1/2 binary64)) (*.f64 y y) y))))
cost-diff	0	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y (fma.f64 (.f64 y #s(literal 1/2 binary64)) (*.f64 y y) y)))))
cost-diff	0	(fma.f64 x y x)
cost-diff	0	#s(approx (* x (exp y)) (fma.f64 x y x))
cost-diff	0	(fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))
cost-diff	0	(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64))))
cost-diff	1088	(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))

Rules

3 038×	`lower-fma.f32`
3 016×	`lower-fma.f64`
1 764×	`lower-*.f32`
1 740×	`lower-*.f64`
1 260×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	562
0	90	553
1	181	516
2	324	502
3	603	502
4	1279	502
5	2188	502
6	2409	502
7	2501	502
8	2544	502
9	2574	502
10	2629	502
11	2629	502
12	2629	502
13	3142	502
14	3180	502
15	3196	502
16	3196	502
17	3196	502
18	3196	502
0	3196	472

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize252.0ms (0.9%)

Memory

-56.0MiB live, 244.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.31241658323105326	(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
accuracy	0.4327937147359273	(.f64 (.f64 y y) #s(literal 1/36 binary64))
accuracy	3.7988093733014563	#s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y) #s(literal 1 binary64)))
accuracy	16.816107914677744	(/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
accuracy	0.0859375	(.f64 y (.f64 y #s(literal 1/6 binary64)))
accuracy	0.28515625	(*.f64 y #s(literal 1/6 binary64))
accuracy	3.7988093733014563	#s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (.f64 y #s(approx (+ (* y (* y 1/6)) 1/2) (.f64 y (.f64 y #s(literal 1/6 binary64))))) y) #s(literal 1 binary64)))
accuracy	32.728427090787235	#s(approx (+ (* y (* y 1/6)) 1/2) (.f64 y (.f64 y #s(literal 1/6 binary64))))
accuracy	0.015625	(.f64 y (fma.f64 (.f64 y #s(literal 1/2 binary64)) (*.f64 y y) y))
accuracy	0.0390625	(fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y y) y)
accuracy	6.139406211278858	#s(approx (exp (* y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y (fma.f64 (.f64 y #s(literal 1/2 binary64)) (*.f64 y y) y))))
accuracy	32.64013846348	#s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y (fma.f64 (.f64 y #s(literal 1/2 binary64)) (*.f64 y y) y)))
accuracy	0	(fma.f64 x y x)
accuracy	21.1470539663918	#s(approx (* x (exp y)) (fma.f64 x y x))
accuracy	0.0625	(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
accuracy	0.31241658323105326	(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	0.47031755661030383	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
accuracy	3.7988093733014563	#s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))

Samples

123.0ms

256×

valid

Compiler

Compiled 358 to 52 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-mult: 59.0ms (58.4% of total)

ival-add: 26.0ms (25.7% of total)

const: 7.0ms (6.9% of total)

ival-div: 5.0ms (4.9% of total)

ival-exp: 4.0ms (4% of total)

exact: 1.0ms (1% of total)

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

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

series27.0ms (0.1%)

Memory

17.8MiB live, 54.0MiB allocated

Counts

27 → 396

Calls

Call 1

Inputs
#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64))) (patch #s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)) (patch (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* x (exp y)) (fma.f64 x y x)) (patch #s(approx (* x (exp y)) (fma.f64 x y x)) #<representation binary64>) () ())
#s(alt (fma.f64 x y x) (patch (fma.f64 x y x) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y (fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y y) y))))) (patch (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y (fma.f64 (.f64 y #s(literal 1/2 binary64)) (*.f64 y y) y))))) #<representation binary64>) () ())
#s(alt #s(approx (exp (* y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y (fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y y) y)))) (patch #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y (fma.f64 (.f64 y #s(literal 1/2 binary64)) (*.f64 y y) y)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y (fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y y) y))) (patch #s(approx (+ ( y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y (fma.f64 (.f64 y #s(literal 1/2 binary64)) (*.f64 y y) y))) #<representation binary64>) () ())
#s(alt (.f64 y (fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y y) y)) (patch (.f64 y (fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y y) y)) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (.f64 y #s(approx (+ (* y (* y 1/6)) 1/2) (.f64 y (.f64 y #s(literal 1/6 binary64))))) y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (.f64 y #s(approx (+ (* y (* y 1/6)) 1/2) (.f64 y (.f64 y #s(literal 1/6 binary64))))) y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (.f64 y #s(approx (+ (* y (* y 1/6)) 1/2) (.f64 y (.f64 y #s(literal 1/6 binary64))))) y) #s(literal 1 binary64))) (patch #s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (.f64 y #s(approx (+ (* y (* y 1/6)) 1/2) (.f64 y (.f64 y #s(literal 1/6 binary64))))) y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 y (fma.f64 (.f64 y y) (.f64 y #s(approx (+ (* y (* y 1/6)) 1/2) (.f64 y (.f64 y #s(literal 1/6 binary64))))) y) #s(literal 1 binary64)) (patch (fma.f64 y (fma.f64 (.f64 y y) (.f64 y #s(approx (+ (* y (* y 1/6)) 1/2) (.f64 y (.f64 y #s(literal 1/6 binary64))))) y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 y y) (.f64 y #s(approx (+ (* y (* y 1/6)) 1/2) (.f64 y (.f64 y #s(literal 1/6 binary64))))) y) (patch (fma.f64 (.f64 y y) (.f64 y #s(approx (+ (* y (* y 1/6)) 1/2) (.f64 y (.f64 y #s(literal 1/6 binary64))))) y) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y) #s(literal 1 binary64))) (patch #s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 y (fma.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y) #s(literal 1 binary64)) (patch (fma.f64 y (fma.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y) (patch (fma.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y y) y) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y y) y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* y (* y 1/6)) 1/2) (.f64 y (.f64 y #s(literal 1/6 binary64)))) (patch #s(approx (+ (* y (* y 1/6)) 1/2) (.f64 y (.f64 y #s(literal 1/6 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal 1/6 binary64)) (patch (.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 y (.f64 y #s(literal 1/6 binary64))) (patch (.f64 y (.f64 y #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 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>) () ())

Outputs
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* 1/6 (pow y 2)))) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* 1/6 (pow y 2)))) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* 1/6 (pow y 2)))) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 3)) (taylor inf y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 3)) (taylor -inf y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) 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 (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) 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 (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) 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 (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) 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 (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf y) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* 1/6 (pow y 2)) (taylor 0 y) (#s(alt (.f64 y (.f64 y #s(literal 1/6 binary64))) (patch (.f64 y (.f64 y #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 2)) (taylor 0 y) (#s(alt (.f64 y (.f64 y #s(literal 1/6 binary64))) (patch (.f64 y (.f64 y #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 2)) (taylor 0 y) (#s(alt (.f64 y (.f64 y #s(literal 1/6 binary64))) (patch (.f64 y (.f64 y #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 2)) (taylor inf y) (#s(alt (.f64 y (.f64 y #s(literal 1/6 binary64))) (patch (.f64 y (.f64 y #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 2)) (taylor inf y) (#s(alt (.f64 y (.f64 y #s(literal 1/6 binary64))) (patch (.f64 y (.f64 y #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 2)) (taylor inf y) (#s(alt (.f64 y (.f64 y #s(literal 1/6 binary64))) (patch (.f64 y (.f64 y #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 2)) (taylor inf y) (#s(alt (.f64 y (.f64 y #s(literal 1/6 binary64))) (patch (.f64 y (.f64 y #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 2)) (taylor -inf y) (#s(alt (.f64 y (.f64 y #s(literal 1/6 binary64))) (patch (.f64 y (.f64 y #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 2)) (taylor -inf y) (#s(alt (.f64 y (.f64 y #s(literal 1/6 binary64))) (patch (.f64 y (.f64 y #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 2)) (taylor -inf y) (#s(alt (.f64 y (.f64 y #s(literal 1/6 binary64))) (patch (.f64 y (.f64 y #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 2)) (taylor -inf y) (#s(alt (.f64 y (.f64 y #s(literal 1/6 binary64))) (patch (.f64 y (.f64 y #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* 1/6 (pow y 2)))) (taylor 0 y) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* 1/6 (pow y 2)))) (taylor 0 y) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* 1/6 (pow y 2)))) (taylor 0 y) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 3)) (taylor inf y) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 3)) (taylor -inf y) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 y) (#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 (- (* 1/6 (pow y 2)) 1/2) (taylor 0 y) (#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 (- (* 1/6 (pow y 2)) 1/2) (taylor 0 y) (#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 (- (* 1/6 (pow y 2)) 1/2) (taylor 0 y) (#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 (* 1/6 (pow y 2)) (taylor inf y) (#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 (* (pow y 2) (- 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#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 (* (pow y 2) (- 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#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 (* (pow y 2) (- 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#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 (* 1/6 (pow y 2)) (taylor -inf y) (#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 (* (pow y 2) (- 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#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 (* (pow y 2) (- 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#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 (* (pow y 2) (- 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#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>) () ())) ())

Calls

99 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(/ (* (+ (* (* y y) (* (* y y) 1/36)) -1/4) y) (+ (* (* y y) 1/6) -1/2))
0.0ms	x	@	inf	(+ (* x y) x)
0.0ms	y	@	inf	(+ (* y (+ (* (* y y) (/ (* (+ (* (* y y) (* (* y y) 1/36)) -1/4) y) (+ (* (* y y) 1/6) -1/2))) y)) 1)
0.0ms	y	@	0	(/ (* (+ (* (* y y) (* (* y y) 1/36)) -1/4) y) (+ (* (* y y) 1/6) -1/2))
0.0ms	y	@	inf	(+ (* (* y y) (/ (* (+ (* (* y y) (* (* y y) 1/36)) -1/4) y) (+ (* (* y y) 1/6) -1/2))) y)

simplify310.0ms (1.1%)

Memory

18.4MiB live, 328.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12 900×	`lower-fma.f64`
12 900×	`lower-fma.f32`
4 342×	`lower-*.f64`
4 342×	`lower-*.f32`
2 126×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	2946
1	447	2876
2	1150	2838
3	3010	2804
4	6451	2804
0	8149	2611

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 387

Calls

Call 1

Inputs
(* 1/2 y)
(* y (+ 1/2 (* 1/6 (pow y 2))))
(* y (+ 1/2 (* 1/6 (pow y 2))))
(* y (+ 1/2 (* 1/6 (pow y 2))))
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (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
(+ 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 (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
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (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)))))))
(* 1/6 (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 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))))))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
x
(+ x (* x y))
(+ x (* y (+ x (* 1/2 (* x y)))))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* 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 (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
x
(+ x (* x y))
(+ x (* x y))
(+ x (* x y))
(* x y)
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
(* y (+ x (/ x 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 (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
(+ 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 (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
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (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)))))
(* 1/2 (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 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)))))
(pow y 2)
(* (pow y 2) (+ 1 (* 1/2 (pow y 2))))
(* (pow y 2) (+ 1 (* 1/2 (pow y 2))))
(* (pow y 2) (+ 1 (* 1/2 (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))))
(* (pow y 4) (+ 1/2 (/ 1 (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))))
(* (pow y 4) (+ 1/2 (/ 1 (pow y 2))))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (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
(+ 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 (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
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (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)))))))
(* 1/6 (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 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))))))
y
(* y (+ 1 (* 1/2 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* 1/6 (pow y 5))
(* (pow y 5) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/6 (pow y 5))
(* (pow y 5) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow y 2))) (pow y 2))) 1/6)))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow y 2))) (pow y 2))) 1/6)))
(* 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
(+ 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 (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
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (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)))))))
(* 1/6 (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 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))))))
y
(* y (+ 1 (* 1/2 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* 1/6 (pow y 5))
(* (pow y 5) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/6 (pow y 5))
(* (pow y 5) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow y 2))) (pow y 2))) 1/6)))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow y 2))) (pow y 2))) 1/6)))
2
(+ 2 (* -2/3 (pow y 2)))
(+ 2 (* (pow y 2) (- (* 2/9 (pow y 2)) 2/3)))
(+ 2 (* (pow y 2) (- (* (pow y 2) (+ 2/9 (* -2/27 (pow y 2)))) 2/3)))
(/ 6 (pow y 2))
(/ (- 6 (* 18 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 6 (/ 54 (pow y 4))) (* 18 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 6 (/ 54 (pow y 4))) (+ (* 18 (/ 1 (pow y 2))) (* 162 (/ 1 (pow y 6))))) (pow y 2))
(/ 6 (pow y 2))
(/ (- 6 (* 18 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 6 (/ 54 (pow y 4))) (* 18 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 6 (/ 54 (pow y 4))) (+ (* 18 (/ 1 (pow y 2))) (* 162 (/ 1 (pow y 6))))) (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)))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* 1/6 (pow y 2))
(* (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)))))
y
(* y (+ 1 (* 1/2 (pow y 2))))
(* y (+ 1 (* 1/2 (pow y 2))))
(* y (+ 1 (* 1/2 (pow y 2))))
(* 1/2 (pow y 3))
(* (pow y 3) (+ 1/2 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1/2 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1/2 (/ 1 (pow y 2))))
(* 1/2 (pow y 3))
(* (pow y 3) (+ 1/2 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1/2 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1/2 (/ 1 (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)))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* 1/6 (pow y 2))
(* (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)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/2 y)
(* y (+ 1/2 (* 1/6 (pow y 2))))
(* y (+ 1/2 (* 1/6 (pow y 2))))
(* y (+ 1/2 (* 1/6 (pow y 2))))
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
-1/2
(- (* 1/6 (pow y 2)) 1/2)
(- (* 1/6 (pow y 2)) 1/2)
(- (* 1/6 (pow y 2)) 1/2)
(* 1/6 (pow y 2))
(* (pow y 2) (- 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* 1/6 (pow y 2))
(* (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)))))

Outputs
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ 1/2 (* 1/6 (pow y 2))))
(.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* 1/6 (pow y 2))))
(.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* 1/6 (pow y 2))))
(.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* 1/6 (pow y 3))
(.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* 1/6 (pow y 3))
(.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
x
(+ x (* x (pow y 2)))
(fma.f64 y (*.f64 y x) x)
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(fma.f64 y (.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 y x) x)) x)
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(fma.f64 (.f64 y (.f64 y x)) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y y)) y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(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))
(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
#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 y (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y y)) y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/6 (pow y 6))
(*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (*.f64 y y))))))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y))))) #s(literal 1 binary64))
(* 1/6 (pow y 6))
(*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (*.f64 y y))))))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y))))) #s(literal 1 binary64))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
x
(+ x (* x y))
(fma.f64 y x x)
(+ x (* y (+ x (* 1/2 (* x y)))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) y) x)
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(fma.f64 y (fma.f64 y (*.f64 x (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) x)
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* 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 (+ 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)
(* -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
(+ 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)
(* 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)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 y x x)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 y x x)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 y x x)
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
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(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow y 2))) (pow y 2))) 1/6)))
(.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) y) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))) (*.f64 y y))))
2
#s(literal 2 binary64)
(+ 2 (* -2/3 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -2/3 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow y 2) (- (* 2/9 (pow y 2)) 2/3)))
(fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 2/9 binary64) #s(literal -2/3 binary64))) #s(literal 2 binary64))
(+ 2 (* (pow y 2) (- (* (pow y 2) (+ 2/9 (* -2/27 (pow y 2)))) 2/3)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -2/27 binary64) #s(literal 2/9 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64))
(/ 6 (pow y 2))
(/.f64 #s(literal 6 binary64) (*.f64 y y))
(/ (- 6 (* 18 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y))
(/ (- (+ 6 (/ 54 (pow y 4))) (* 18 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (/.f64 #s(literal 54 binary64) (.f64 y (.f64 y (.f64 y y))))) (*.f64 y y))
(/ (- (+ 6 (/ 54 (pow y 4))) (+ (* 18 (/ 1 (pow y 2))) (* 162 (/ 1 (pow y 6))))) (pow y 2))
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (+.f64 (/.f64 #s(literal 54 binary64) (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal -162 binary64) (pow.f64 y #s(literal 6 binary64))))) (*.f64 y y))
(/ 6 (pow y 2))
(/.f64 #s(literal 6 binary64) (*.f64 y y))
(/ (- 6 (* 18 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y))
(/ (- (+ 6 (/ 54 (pow y 4))) (* 18 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (/.f64 #s(literal 54 binary64) (.f64 y (.f64 y (.f64 y y))))) (*.f64 y y))
(/ (- (+ 6 (/ 54 (pow y 4))) (+ (* 18 (/ 1 (pow y 2))) (* 162 (/ 1 (pow y 6))))) (pow y 2))
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (+.f64 (/.f64 #s(literal 54 binary64) (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal -162 binary64) (pow.f64 y #s(literal 6 binary64))))) (*.f64 y y))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/6 (pow y 2))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/6 (pow y 2))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
y
(* y (+ 1 (* 1/2 (pow y 2))))
(fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y y)) y)
(* y (+ 1 (* 1/2 (pow y 2))))
(fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y y)) y)
(* y (+ 1 (* 1/2 (pow y 2))))
(fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y y)) y)
(* 1/2 (pow y 3))
(.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y)))
(* (pow y 3) (+ 1/2 (/ 1 (pow y 2))))
(fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y y)) y)
(* (pow y 3) (+ 1/2 (/ 1 (pow y 2))))
(fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y y)) y)
(* (pow y 3) (+ 1/2 (/ 1 (pow y 2))))
(fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y y)) y)
(* 1/2 (pow y 3))
(.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y)))
(* (pow y 3) (+ 1/2 (/ 1 (pow y 2))))
(fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y y)) y)
(* (pow y 3) (+ 1/2 (/ 1 (pow y 2))))
(fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y y)) y)
(* (pow y 3) (+ 1/2 (/ 1 (pow y 2))))
(fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y y)) y)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/6 (pow y 2))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/6 (pow y 2))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 (pow y 2))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(* 1/6 (pow y 2))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(* 1/6 (pow y 2))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(* 1/6 (pow y 2))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(* 1/6 (pow y 2))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(* 1/6 (pow y 2))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(* 1/6 (pow y 2))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(* 1/6 (pow y 2))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(* 1/6 (pow y 2))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(* 1/6 (pow y 2))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(* 1/6 (pow y 2))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(* 1/6 (pow y 2))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ 1/2 (* 1/6 (pow y 2))))
(.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* 1/6 (pow y 2))))
(.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* 1/6 (pow y 2))))
(.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* 1/6 (pow y 3))
(.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* 1/6 (pow y 3))
(.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* 1/36 (pow y 2))
(.f64 y (.f64 y #s(literal 1/36 binary64)))
(* 1/36 (pow y 2))
(.f64 y (.f64 y #s(literal 1/36 binary64)))
(* 1/36 (pow y 2))
(.f64 y (.f64 y #s(literal 1/36 binary64)))
(* 1/36 (pow y 2))
(.f64 y (.f64 y #s(literal 1/36 binary64)))
(* 1/36 (pow y 2))
(.f64 y (.f64 y #s(literal 1/36 binary64)))
(* 1/36 (pow y 2))
(.f64 y (.f64 y #s(literal 1/36 binary64)))
(* 1/36 (pow y 2))
(.f64 y (.f64 y #s(literal 1/36 binary64)))
(* 1/36 (pow y 2))
(.f64 y (.f64 y #s(literal 1/36 binary64)))
(* 1/36 (pow y 2))
(.f64 y (.f64 y #s(literal 1/36 binary64)))
(* 1/36 (pow y 2))
(.f64 y (.f64 y #s(literal 1/36 binary64)))
(* 1/36 (pow y 2))
(.f64 y (.f64 y #s(literal 1/36 binary64)))
(* 1/36 (pow y 2))
(.f64 y (.f64 y #s(literal 1/36 binary64)))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow y 2)) 1/2)
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow y 2)) 1/2)
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow y 2)) 1/2)
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow y 2))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(* (pow y 2) (- 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* (pow y 2) (- 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* (pow y 2) (- 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow y 2))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(* (pow y 2) (- 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* (pow y 2) (- 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* (pow y 2) (- 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))

rewrite347.0ms (1.2%)

Memory

18.0MiB live, 484.1MiB allocated

Rules

6 304×	`lower-fma.f32`
6 286×	`lower-fma.f64`
4 430×	`lower-*.f32`
4 408×	`lower-*.f64`
3 844×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	474
0	90	430
1	359	384
2	2450	384
0	8397	362

Stop Event

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

Counts

27 → 729

Calls

Call 1

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

Outputs
(+.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(+.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) y))
(+.f64 (.f64 y (.f64 y (.f64 y #s(literal 1/6 binary64)))) (.f64 y #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) y) (.f64 y #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 y #s(literal 1/2 binary64) (.f64 y (.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(fma.f64 y #s(literal 1/2 binary64) (.f64 (.f64 y (*.f64 y #s(literal 1/6 binary64))) y))
(fma.f64 y (.f64 y (.f64 y #s(literal 1/6 binary64))) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) y (.f64 y (.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(fma.f64 #s(literal 1/2 binary64) y (.f64 (.f64 y (*.f64 y #s(literal 1/6 binary64))) y))
(fma.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) y (*.f64 y #s(literal 1/2 binary64)))
(neg.f64 (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
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(pow.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal 1/4 binary64)) (.f64 (*.f64 y y) #s(literal -1/12 binary64)))))
(.f64 (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(.f64 (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal 1/4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/46656 binary64)) #s(literal -1/64 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/1296 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal -1/144 binary64))))) (neg.f64 (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/46656 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/1296 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal -1/144 binary64))))) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/46656 binary64)) #s(literal -1/64 binary64)) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/1296 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal -1/144 binary64))))) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/46656 binary64)) #s(literal -1/64 binary64)) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/1296 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal -1/144 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal 1/4 binary64)) (.f64 (*.f64 y y) #s(literal 1/12 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/46656 binary64)) #s(literal -1/64 binary64)) (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal -1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/1296 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal -1/144 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal 1/4 binary64))) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal 1/4 binary64)) (.f64 (*.f64 y y) #s(literal 1/12 binary64))))))

eval228.0ms (0.8%)

Memory: 11.1MiB live, 355.3MiB allocated
Compiler: Compiled 35 762 to 2 889 computations (91.9% saved)

prune251.0ms (0.9%)

Memory

-29.8MiB live, 379.5MiB allocated

Pruning

33 alts after pruning (26 fresh and 7 done)

	Pruned	Kept	Total
New	1 098	18	1 116
Fresh	8	8	16
Picked	2	3	5
Done	0	4	4
Total	1 108	33	1 141

Accuracy

100.0%

Counts

1 141 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.1%	(.f64 #s(approx (exp ( y y)) (fma.f64 y (fma.f64 y (.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64))) x)
✓	99.2%	(*.f64 x (exp.f64 y))
	71.3%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (/.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal -1/4 binary64)))) (/.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (fma.f64 y y #s(literal 1 binary64)))))
	71.3%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal -1/4 binary64)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (fma.f64 y y #s(literal 1 binary64)))))
	71.3%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal -1/4 binary64)))) (/.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) y) #s(literal 1 binary64))))
	71.3%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal -1/4 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (*.f64 y y)) y) #s(literal 1 binary64))))
	58.4%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) y) (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 y y) #s(literal -1/12 binary64)))) y) #s(literal 1 binary64))))
▶	95.0%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y) #s(literal 1 binary64))))
	95.0%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 #s(literal 6 binary64) (*.f64 y y)))) y) #s(literal 1 binary64))))
▶	95.1%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64))))
	95.0%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (.f64 y #s(approx (+ (* y (* y 1/6)) 1/2) (.f64 (.f64 y y) #s(literal 1/6 binary64)))) y) #s(literal 1 binary64))))
✓	95.0%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (.f64 y #s(approx (+ (* y (* y 1/6)) 1/2) (.f64 y (.f64 y #s(literal 1/6 binary64))))) y) #s(literal 1 binary64))))
✓	92.8%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 y (.f64 (.f64 y y) #s(literal 1/2 binary64)) y) #s(literal 1 binary64))))
	94.6%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y #s(approx (+ (* (* y y) (/ (* (+ (* (* y y) (* (* y y) 1/36)) -1/4) y) (+ (* (* y y) 1/6) -1/2))) y) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y (.f64 y (*.f64 y y))) y))) #s(literal 1 binary64))))
✓	83.4%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
	54.3%	(.f64 x #s(approx (exp ( y y)) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))))
▶	44.7%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
	44.5%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
	44.4%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/6 binary64))))))))
✓	42.5%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y (fma.f64 (.f64 y #s(literal 1/2 binary64)) (*.f64 y y) y)))))
▶	42.2%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y #s(approx (+ ( (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y))))))))
	33.1%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) #s(approx (* y (+ (* (* y 1/2) (* y y)) y)) (*.f64 y y)))))
✓	54.4%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
	87.9%	(*.f64 x #s(approx (exp y) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
	94.0%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 y (.f64 y x)) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
	88.4%	#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 y x) x)) x))
	78.2%	#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 y x) x))
	89.1%	#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 x (fma.f64 y (.f64 (*.f64 y y) #s(literal 1/2 binary64)) y)) x))
	84.6%	#s(approx (* x (exp y)) (fma.f64 y (fma.f64 y (*.f64 x (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) x))
✓	66.7%	#s(approx (* x (exp y)) (fma.f64 x y x))
	41.3%	#s(approx (* x (exp y)) (/.f64 (.f64 (fma.f64 y x x) (-.f64 (.f64 y x) x)) (-.f64 (*.f64 y x) x)))
	66.7%	#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
▶	17.6%	#s(approx (* x (exp y)) #s(approx (+ (* x y) x) (*.f64 y x)))

Compiler

Compiled 1 221 to 620 computations (49.2% saved)

simplify82.0ms (0.3%)

Memory

40.8MiB live, 77.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y)
cost-diff	0	(fma.f64 y (fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y) #s(literal 1 binary64)))
cost-diff	0	(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y) #s(literal 1 binary64))))
cost-diff	0	(.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
cost-diff	0	#s(approx (exp (* y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
cost-diff	0	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
cost-diff	0	(.f64 y #s(approx (+ ( (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y)))))
cost-diff	0	#s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y #s(approx (+ ( (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y))))))
cost-diff	0	#s(approx (exp (* y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y #s(approx (+ ( (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y)))))))
cost-diff	0	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y #s(approx (+ ( (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y))))))))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (* x y) x) (*.f64 y x))
cost-diff	0	#s(approx (* x (exp y)) #s(approx (+ (* x y) x) (*.f64 y x)))
cost-diff	0	(fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64)))
cost-diff	0	(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))

Rules

1 094×	`lower-fma.f32`
1 082×	`lower-fma.f64`
840×	`lower-*.f32`
816×	`lower-*.f64`
534×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	694
0	100	621
1	203	617
2	372	617
3	714	617
4	1076	617
5	1383	617
6	1565	617
7	1684	617
8	1761	617
9	1766	617
10	1768	617
11	1768	617
0	1768	593

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64))))
x
#s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64)))
(fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64))
y
(fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y)
(*.f64 y y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(*.f64 y #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (* x (exp y)) #s(approx (+ (* x y) x) (*.f64 y x)))
#s(approx (+ (* x y) x) (*.f64 y x))
(*.f64 y x)
y
x
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y #s(approx (+ ( (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y))))))))
x
#s(approx (exp (* y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y #s(approx (+ ( (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y)))))))
#s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y #s(approx (+ ( (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y))))))
(.f64 y #s(approx (+ ( (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y)))))
y
#s(approx (+ (* (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y))))
(.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y)))
#s(literal 1/2 binary64)
(.f64 y (.f64 y y))
(*.f64 y y)
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
x
#s(approx (exp (* y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 y y)
y
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(*.f64 y #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y) #s(literal 1 binary64))))
x
#s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y) #s(literal 1 binary64)))
(fma.f64 y (fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y) #s(literal 1 binary64))
y
(fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y)
(*.f64 y y)
(/.f64 y #s(approx (/ 1 (+ (* (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y))))
#s(approx (/ 1 (+ (* (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y))
(+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (*.f64 y y)))
#s(literal 6 binary64)
(/.f64 #s(literal -18 binary64) (*.f64 y y))
#s(literal -18 binary64)
#s(literal 1 binary64)

Outputs
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 y (.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64))))
x
#s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64)))
#s(approx (exp (* y y)) (fma.f64 y (fma.f64 y (.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64)))
(fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y (.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64))
y
(fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y)
(fma.f64 y (.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) y)
(*.f64 y y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(*.f64 y #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (* x (exp y)) #s(approx (+ (* x y) x) (*.f64 y x)))
#s(approx (* x (exp y)) #s(approx (+ (* x y) x) (*.f64 x y)))
#s(approx (+ (* x y) x) (*.f64 y x))
#s(approx (+ (* x y) x) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y #s(approx (+ ( (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y))))))))
x
#s(approx (exp (* y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y #s(approx (+ ( (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y)))))))
#s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y #s(approx (+ ( (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y))))))
(.f64 y #s(approx (+ ( (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y)))))
y
#s(approx (+ (* (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y))))
(.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y)))
#s(literal 1/2 binary64)
(.f64 y (.f64 y y))
(*.f64 y y)
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 y (fma.f64 y (.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) y)))))
x
#s(approx (exp (* y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (exp (* y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 y (fma.f64 y (.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) y))))
#s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 y (fma.f64 y (.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) y)))
(.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 y (fma.f64 y (.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) y))
(*.f64 y y)
y
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(*.f64 y #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 y (/.f64 (.f64 y y) #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y) #s(literal 1 binary64))))
x
#s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y) #s(literal 1 binary64)))
#s(approx (exp (* y y)) (fma.f64 y (fma.f64 y (/.f64 (.f64 y y) #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y) #s(literal 1 binary64)))
(fma.f64 y (fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y (/.f64 (.f64 y y) #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y) #s(literal 1 binary64))
y
(fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y)
(fma.f64 y (/.f64 (.f64 y y) #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y)
(*.f64 y y)
(/.f64 y #s(approx (/ 1 (+ (* (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y))))
#s(approx (/ 1 (+ (* (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y))
(+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (*.f64 y y)))
#s(literal 6 binary64)
(/.f64 #s(literal -18 binary64) (*.f64 y y))
#s(literal -18 binary64)
#s(literal 1 binary64)

localize194.0ms (0.7%)

Memory

-16.6MiB live, 353.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.6849980883131094	(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y))
accuracy	0.7244263045527661	(/.f64 #s(literal -18 binary64) (*.f64 y y))
accuracy	3.7988093733014563	#s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y) #s(literal 1 binary64)))
accuracy	33.800245345487944	#s(approx (/ 1 (+ (* (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))
accuracy	0.05078125	(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
accuracy	0.28515625	(*.f64 y #s(literal 1/6 binary64))
accuracy	3.7988093733014563	#s(approx (exp (* y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
accuracy	32.59716696242558	#s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
accuracy	0.19981795794162222	(.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y)))
accuracy	6.139406211278858	#s(approx (exp (* y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y #s(approx (+ ( (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y)))))))
accuracy	31.877780622186442	#s(approx (+ (* (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y))))
accuracy	32.64013846348	#s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y #s(approx (+ ( (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y))))))
accuracy	0	(*.f64 y x)
accuracy	21.1470539663918	#s(approx (* x (exp y)) #s(approx (+ (* x y) x) (*.f64 y x)))
accuracy	32.24665093644278	#s(approx (+ (* x y) x) (*.f64 y x))
accuracy	0.06174748016428752	(/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
accuracy	0.10546875	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
accuracy	0.28515625	(*.f64 y #s(literal 1/6 binary64))
accuracy	3.7988093733014563	#s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64)))

Samples

120.0ms

256×

valid

Compiler

Compiled 356 to 56 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-mult: 42.0ms (43.4% of total)

const: 26.0ms (26.8% of total)

ival-add: 15.0ms (15.5% of total)

ival-div: 9.0ms (9.3% of total)

ival-exp: 4.0ms (4.1% of total)

exact: 1.0ms (1% of total)

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

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

series52.0ms (0.2%)

Memory

-4.9MiB live, 41.8MiB allocated

Counts

27 → 408

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64))) (patch #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64)) (patch (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* x (exp y)) #s(approx (+ (* x y) x) (.f64 y x))) (patch #s(approx ( x (exp y)) #s(approx (+ (* x y) x) (*.f64 y x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x y) x) (.f64 y x)) (patch #s(approx (+ ( x y) 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 y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y #s(approx (+ ( (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y y)))))))) (patch (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y #s(approx (+ ( (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y)))))))) #<representation binary64>) () ())
#s(alt #s(approx (exp (* y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y #s(approx (+ ( (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y y))))))) (patch #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y #s(approx (+ ( (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y))))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y #s(approx (+ ( (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y y)))))) (patch #s(approx (+ ( y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y #s(approx (+ ( (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y)))))) #<representation binary64>) () ())
#s(alt (.f64 y #s(approx (+ ( (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y y))))) (patch (.f64 y #s(approx (+ (* (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y))))) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (patch (.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (exp (* y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (patch #s(approx (exp (* y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (patch #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch (.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y) #s(literal 1 binary64))) (patch #s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y) #s(literal 1 binary64)) (patch (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y) (patch (fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal 1/6 binary64)) (patch (.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
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#s(alt (.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y y))) (patch (.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y y))) #<representation binary64>) () ())
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#s(alt (/.f64 #s(literal -18 binary64) (.f64 y y)) (patch (/.f64 #s(literal -18 binary64) (.f64 y y)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)) (patch (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* 1/6 (pow y 2)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* 1/6 (pow y 2)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* 1/6 (pow y 2)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 3)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 3)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (/ -18 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal -18 binary64) (.f64 y y)) (patch (/.f64 #s(literal -18 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ -18 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal -18 binary64) (.f64 y y)) (patch (/.f64 #s(literal -18 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ -18 (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal -18 binary64) (.f64 y y)) (patch (/.f64 #s(literal -18 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ -18 (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal -18 binary64) (.f64 y y)) (patch (/.f64 #s(literal -18 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ -18 (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal -18 binary64) (.f64 y y)) (patch (/.f64 #s(literal -18 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ -18 (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal -18 binary64) (.f64 y y)) (patch (/.f64 #s(literal -18 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ -18 (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal -18 binary64) (.f64 y y)) (patch (/.f64 #s(literal -18 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ -18 (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal -18 binary64) (.f64 y y)) (patch (/.f64 #s(literal -18 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ -18 (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal -18 binary64) (.f64 y y)) (patch (/.f64 #s(literal -18 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ -18 (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal -18 binary64) (.f64 y y)) (patch (/.f64 #s(literal -18 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ -18 (pow y 4)) (taylor 0 y) (#s(alt (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)) (patch (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 6 (pow y 2)) 18) (pow y 4)) (taylor 0 y) (#s(alt (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)) (patch (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 6 (pow y 2)) 18) (pow y 4)) (taylor 0 y) (#s(alt (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)) (patch (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 6 (pow y 2)) 18) (pow y 4)) (taylor 0 y) (#s(alt (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)) (patch (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ 6 (pow y 2)) (taylor inf y) (#s(alt (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)) (patch (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (- 6 (* 18 (/ 1 (pow y 2)))) (pow y 2)) (taylor inf y) (#s(alt (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)) (patch (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (- 6 (* 18 (/ 1 (pow y 2)))) (pow y 2)) (taylor inf y) (#s(alt (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)) (patch (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (- 6 (* 18 (/ 1 (pow y 2)))) (pow y 2)) (taylor inf y) (#s(alt (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)) (patch (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ 6 (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)) (patch (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (- 6 (* 18 (/ 1 (pow y 2)))) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)) (patch (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (- 6 (* 18 (/ 1 (pow y 2)))) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)) (patch (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (- 6 (* 18 (/ 1 (pow y 2)))) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)) (patch (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)) #<representation binary64>) () ())) ())

Calls

102 calls:

Time	Variable		Point	Expression
30.0ms	y	@	0	(/ -18 (* y y))
0.0ms	y	@	0	(/ (+ 6 (/ -18 (* y y))) (* y y))
0.0ms	y	@	-inf	(* 1/2 (* y (* y y)))
0.0ms	y	@	inf	(* (* y y) (+ (* (* y y) (+ (* y (* y 1/6)) 1/2)) 1))
0.0ms	y	@	-inf	(/ 1 (* y (+ (* y (* y 1/6)) 1/2)))

simplify453.0ms (1.6%)

Memory

-13.3MiB live, 357.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 284×	`lower-fma.f64`
13 284×	`lower-fma.f32`
4 654×	`lower-*.f64`
4 654×	`lower-*.f32`
2 596×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	3070
1	492	3002
2	1313	2950
3	3634	2940
0	8291	2777

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 400

Calls

Call 1

Inputs
(* 1/2 y)
(* y (+ 1/2 (* 1/6 (pow y 2))))
(* y (+ 1/2 (* 1/6 (pow y 2))))
(* y (+ 1/2 (* 1/6 (pow y 2))))
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (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
(+ 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 (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
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (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)))))))
(* 1/6 (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 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))))))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
x
(+ x (* x y))
(+ x (* y (+ x (* 1/2 (* x y)))))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* 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 (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
x
(+ x (* x y))
(+ x (* x y))
(+ x (* x y))
(* x y)
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
(* y (+ x (/ x 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 y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (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
(+ 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 (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
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (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)))))
(* 1/2 (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 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)))))
(pow y 2)
(* (pow y 2) (+ 1 (* 1/2 (pow y 2))))
(* (pow y 2) (+ 1 (* 1/2 (pow y 2))))
(* (pow y 2) (+ 1 (* 1/2 (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))))
(* (pow y 4) (+ 1/2 (/ 1 (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))))
(* (pow y 4) (+ 1/2 (/ 1 (pow y 2))))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (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
(+ 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 (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
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (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)))))))
(* 1/6 (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 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))))))
(pow y 2)
(* (pow y 2) (+ 1 (* 1/2 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* 1/6 (pow y 6))
(* (pow y 6) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/6 (pow y 6))
(* (pow y 6) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 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
(+ 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 (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
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (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)))))))
(* 1/6 (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 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))))))
y
(* y (+ 1 (* 1/2 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* 1/6 (pow y 5))
(* (pow y 5) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/6 (pow y 5))
(* (pow y 5) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow y 2))) (pow y 2))) 1/6)))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow y 2))) (pow y 2))) 1/6)))
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(/ 2 y)
(/ (+ 2 (* -2/3 (pow y 2))) y)
(/ (+ 2 (* (pow y 2) (- (* 2/9 (pow y 2)) 2/3))) y)
(/ (+ 2 (* (pow y 2) (- (* (pow y 2) (+ 2/9 (* -2/27 (pow y 2)))) 2/3))) y)
(/ 6 (pow y 3))
(/ (- 6 (* 18 (/ 1 (pow y 2)))) (pow y 3))
(/ (- (+ 6 (/ 54 (pow y 4))) (* 18 (/ 1 (pow y 2)))) (pow y 3))
(/ (- (+ 6 (/ 54 (pow y 4))) (+ (* 18 (/ 1 (pow y 2))) (* 162 (/ 1 (pow y 6))))) (pow y 3))
(/ 6 (pow y 3))
(* -1 (/ (- (* 18 (/ 1 (pow y 2))) 6) (pow y 3)))
(* -1 (/ (- (* 18 (/ 1 (pow y 2))) (+ 6 (/ 54 (pow y 4)))) (pow y 3)))
(* -1 (/ (- (+ (* 18 (/ 1 (pow y 2))) (* 162 (/ 1 (pow y 6)))) (+ 6 (/ 54 (pow y 4)))) (pow y 3)))
y
(* y (+ 1 (* 1/2 (pow y 2))))
(* y (+ 1 (* 1/2 (pow y 2))))
(* y (+ 1 (* 1/2 (pow y 2))))
(* 1/2 (pow y 3))
(* (pow y 3) (+ 1/2 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1/2 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1/2 (/ 1 (pow y 2))))
(* 1/2 (pow y 3))
(* (pow y 3) (+ 1/2 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1/2 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1/2 (/ 1 (pow y 2))))
(* 1/2 (pow y 3))
(* 1/2 (pow y 3))
(* 1/2 (pow y 3))
(* 1/2 (pow y 3))
(* 1/2 (pow y 3))
(* 1/2 (pow y 3))
(* 1/2 (pow y 3))
(* 1/2 (pow y 3))
(* 1/2 (pow y 3))
(* 1/2 (pow y 3))
(* 1/2 (pow y 3))
(* 1/2 (pow y 3))
1/2
(+ 1/2 (* 1/6 (pow y 2)))
(+ 1/2 (* 1/6 (pow y 2)))
(+ 1/2 (* 1/6 (pow y 2)))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* 1/6 (pow y 2))
(* (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)))))
2
(+ 2 (* -2/3 (pow y 2)))
(+ 2 (* (pow y 2) (- (* 2/9 (pow y 2)) 2/3)))
(+ 2 (* (pow y 2) (- (* (pow y 2) (+ 2/9 (* -2/27 (pow y 2)))) 2/3)))
(/ 6 (pow y 2))
(/ (- 6 (* 18 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 6 (/ 54 (pow y 4))) (* 18 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 6 (/ 54 (pow y 4))) (+ (* 18 (/ 1 (pow y 2))) (* 162 (/ 1 (pow y 6))))) (pow y 2))
(/ 6 (pow y 2))
(/ (- 6 (* 18 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 6 (/ 54 (pow y 4))) (* 18 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 6 (/ 54 (pow y 4))) (+ (* 18 (/ 1 (pow y 2))) (* 162 (/ 1 (pow y 6))))) (pow y 2))
(/ -18 (pow y 2))
(/ -18 (pow y 2))
(/ -18 (pow y 2))
(/ -18 (pow y 2))
(/ -18 (pow y 2))
(/ -18 (pow y 2))
(/ -18 (pow y 2))
(/ -18 (pow y 2))
(/ -18 (pow y 2))
(/ -18 (pow y 2))
(/ -18 (pow y 2))
(/ -18 (pow y 2))
(/ -18 (pow y 4))
(/ (- (* 6 (pow y 2)) 18) (pow y 4))
(/ (- (* 6 (pow y 2)) 18) (pow y 4))
(/ (- (* 6 (pow y 2)) 18) (pow y 4))
(/ 6 (pow y 2))
(/ (- 6 (* 18 (/ 1 (pow y 2)))) (pow y 2))
(/ (- 6 (* 18 (/ 1 (pow y 2)))) (pow y 2))
(/ (- 6 (* 18 (/ 1 (pow y 2)))) (pow y 2))
(/ 6 (pow y 2))
(/ (- 6 (* 18 (/ 1 (pow y 2)))) (pow y 2))
(/ (- 6 (* 18 (/ 1 (pow y 2)))) (pow y 2))
(/ (- 6 (* 18 (/ 1 (pow y 2)))) (pow y 2))

Outputs
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ 1/2 (* 1/6 (pow y 2))))
(.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* 1/6 (pow y 2))))
(.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* 1/6 (pow y 2))))
(.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* 1/6 (pow y 3))
(.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* 1/6 (pow y 3))
(.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
x
(+ x (* x (pow y 2)))
(fma.f64 y (*.f64 y x) x)
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(fma.f64 (.f64 y y) (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y x)) x) x)
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y (.f64 y x)) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) x)
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y y)) y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(fma.f64 y (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64))
(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))
(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
#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 y (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y y)) y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(fma.f64 y (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64))
(* 1/6 (pow y 6))
(*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (*.f64 y y)))))))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))))) #s(literal 1 binary64))
(* 1/6 (pow y 6))
(*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (*.f64 y y)))))))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))))) #s(literal 1 binary64))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
x
(+ x (* x y))
(fma.f64 y x x)
(+ x (* y (+ x (* 1/2 (* x y)))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) y) x)
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(fma.f64 y (fma.f64 y (*.f64 x (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) x)
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* x (exp y))
(*.f64 x (exp.f64 y))
(* 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 (+ 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)
(* -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
(+ 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)
(* 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)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 y x x)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 y x x)
(* -1 (* y (+ (* -1 x) (* -1 (/ 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 y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
x
(+ x (* x (pow y 2)))
(fma.f64 y (*.f64 y x) x)
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(fma.f64 (.f64 y y) (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y x)) x) x)
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y (.f64 y x)) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) x)
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y y)) y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(fma.f64 y (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64))
(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))
(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
#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 y (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y y)) y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y y)) y) #s(literal 1 binary64))
(* 1/2 (pow y 4))
(.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y (.f64 y y))))
(* (pow y 4) (+ 1/2 (/ 1 (pow y 2))))
(.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(* (pow y 4) (+ 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))))
(fma.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))) #s(literal 1 binary64))
(* (pow y 4) (+ 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))))
(fma.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))) #s(literal 1 binary64))
(* 1/2 (pow y 4))
(.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y (.f64 y y))))
(* (pow y 4) (+ 1/2 (/ 1 (pow y 2))))
(.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(* (pow y 4) (+ 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))))
(fma.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))) #s(literal 1 binary64))
(* (pow y 4) (+ 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))))
(fma.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))) #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* 1/2 (pow y 2))))
(.f64 y (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y)) y))
(* (pow y 2) (+ 1 (* 1/2 (pow y 2))))
(.f64 y (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y)) y))
(* (pow y 2) (+ 1 (* 1/2 (pow y 2))))
(.f64 y (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y)) y))
(* 1/2 (pow y 4))
(.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y (.f64 y y))))
(* (pow y 4) (+ 1/2 (/ 1 (pow y 2))))
(.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(* (pow y 4) (+ 1/2 (/ 1 (pow y 2))))
(.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(* (pow y 4) (+ 1/2 (/ 1 (pow y 2))))
(.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(* 1/2 (pow y 4))
(.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y (.f64 y y))))
(* (pow y 4) (+ 1/2 (/ 1 (pow y 2))))
(.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(* (pow y 4) (+ 1/2 (/ 1 (pow y 2))))
(.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(* (pow y 4) (+ 1/2 (/ 1 (pow y 2))))
(.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
x
(+ x (* x (pow y 2)))
(fma.f64 y (*.f64 y x) x)
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(fma.f64 (.f64 y y) (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y x)) x) x)
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y (.f64 y x)) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) x)
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
(* x (exp (pow y 2)))
(.f64 x (exp.f64 (.f64 y y)))
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
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(+ 2 (* -2/3 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -2/3 binary64) #s(literal 2 binary64))
(+ 2 (* (pow y 2) (- (* 2/9 (pow y 2)) 2/3)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 2/9 binary64) #s(literal -2/3 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow y 2) (- (* (pow y 2) (+ 2/9 (* -2/27 (pow y 2)))) 2/3)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -2/27 binary64) #s(literal 2/9 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64))
(/ 6 (pow y 2))
(/.f64 #s(literal 6 binary64) (*.f64 y y))
(/ (- 6 (* 18 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y))
(/ (- (+ 6 (/ 54 (pow y 4))) (* 18 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 54 binary64) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal -18 binary64) (.f64 y y))) (*.f64 y y))
(/ (- (+ 6 (/ 54 (pow y 4))) (+ (* 18 (/ 1 (pow y 2))) (* 162 (/ 1 (pow y 6))))) (pow y 2))
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (+.f64 (/.f64 #s(literal 54 binary64) (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal -162 binary64) (pow.f64 y #s(literal 6 binary64))))) (*.f64 y y))
(/ 6 (pow y 2))
(/.f64 #s(literal 6 binary64) (*.f64 y y))
(/ (- 6 (* 18 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y))
(/ (- (+ 6 (/ 54 (pow y 4))) (* 18 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 54 binary64) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal -18 binary64) (.f64 y y))) (*.f64 y y))
(/ (- (+ 6 (/ 54 (pow y 4))) (+ (* 18 (/ 1 (pow y 2))) (* 162 (/ 1 (pow y 6))))) (pow y 2))
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (+.f64 (/.f64 #s(literal 54 binary64) (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal -162 binary64) (pow.f64 y #s(literal 6 binary64))))) (*.f64 y y))
(/ -18 (pow y 2))
(/.f64 #s(literal -18 binary64) (*.f64 y y))
(/ -18 (pow y 2))
(/.f64 #s(literal -18 binary64) (*.f64 y y))
(/ -18 (pow y 2))
(/.f64 #s(literal -18 binary64) (*.f64 y y))
(/ -18 (pow y 2))
(/.f64 #s(literal -18 binary64) (*.f64 y y))
(/ -18 (pow y 2))
(/.f64 #s(literal -18 binary64) (*.f64 y y))
(/ -18 (pow y 2))
(/.f64 #s(literal -18 binary64) (*.f64 y y))
(/ -18 (pow y 2))
(/.f64 #s(literal -18 binary64) (*.f64 y y))
(/ -18 (pow y 2))
(/.f64 #s(literal -18 binary64) (*.f64 y y))
(/ -18 (pow y 2))
(/.f64 #s(literal -18 binary64) (*.f64 y y))
(/ -18 (pow y 2))
(/.f64 #s(literal -18 binary64) (*.f64 y y))
(/ -18 (pow y 2))
(/.f64 #s(literal -18 binary64) (*.f64 y y))
(/ -18 (pow y 2))
(/.f64 #s(literal -18 binary64) (*.f64 y y))
(/ -18 (pow y 4))
(/.f64 #s(literal -18 binary64) (.f64 y (.f64 y (*.f64 y y))))
(/ (- (* 6 (pow y 2)) 18) (pow y 4))
(/.f64 (fma.f64 y (.f64 y #s(literal 6 binary64)) #s(literal -18 binary64)) (.f64 y (.f64 y (.f64 y y))))
(/ (- (* 6 (pow y 2)) 18) (pow y 4))
(/.f64 (fma.f64 y (.f64 y #s(literal 6 binary64)) #s(literal -18 binary64)) (.f64 y (.f64 y (.f64 y y))))
(/ (- (* 6 (pow y 2)) 18) (pow y 4))
(/.f64 (fma.f64 y (.f64 y #s(literal 6 binary64)) #s(literal -18 binary64)) (.f64 y (.f64 y (.f64 y y))))
(/ 6 (pow y 2))
(/.f64 #s(literal 6 binary64) (*.f64 y y))
(/ (- 6 (* 18 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y))
(/ (- 6 (* 18 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y))
(/ (- 6 (* 18 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y))
(/ 6 (pow y 2))
(/.f64 #s(literal 6 binary64) (*.f64 y y))
(/ (- 6 (* 18 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y))
(/ (- 6 (* 18 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y))
(/ (- 6 (* 18 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y))

rewrite1.2s (4.2%)

Memory

-21.7MiB live, 334.8MiB allocated

Rules

6 700×	`lower-fma.f32`
6 688×	`lower-fma.f64`
4 714×	`lower-*.f32`
4 690×	`lower-*.f64`
4 102×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	582
0	99	517
1	407	513
2	2390	513
0	8926	484

Stop Event

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

Counts

27 → 479

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64))))
#s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64)))
(fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64))
#s(approx (* x (exp y)) #s(approx (+ (* x y) x) (*.f64 y x)))
#s(approx (+ (* x y) x) (*.f64 y x))
(*.f64 y x)
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y #s(approx (+ ( (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y))))))))
#s(approx (exp (* y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y #s(approx (+ ( (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y)))))))
#s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y #s(approx (+ ( (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y))))))
(.f64 y #s(approx (+ ( (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y)))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (exp (* y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y) #s(literal 1 binary64))))
#s(approx (exp (* y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y) #s(literal 1 binary64)))
(fma.f64 y (fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y) #s(literal 1 binary64))
(fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y)
(*.f64 y #s(literal 1/6 binary64))
(/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
#s(approx (+ (* (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y))))
(.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
#s(approx (/ 1 (+ (* (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))
(/.f64 #s(literal -18 binary64) (*.f64 y y))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y))

Outputs
(+.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) (.f64 y #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y)))) (.f64 #s(literal 1 binary64) (.f64 y #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y)))) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) (.f64 y #s(literal 1/2 binary64)))) (/.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) (.f64 y #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 y #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y (*.f64 y y))))
(fma.f64 y (.f64 y (.f64 y #s(literal 1/6 binary64))) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y)) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (.f64 y #s(literal 1/6 binary64)) (.f64 y y) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) y (.f64 #s(literal 1/6 binary64) (.f64 y (*.f64 y y))))
(fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (.f64 y (.f64 y y)) #s(literal 1/6 binary64) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) y (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) #s(literal 1 binary64) (.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 y (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (fma.f64 (.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) (-.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64)))) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) (.f64 y #s(literal 1/2 binary64))))
(/.f64 (.f64 y (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (-.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 (*.f64 y y) #s(literal 1/12 binary64))))
(/.f64 (.f64 y (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1/2 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) y) (-.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 (*.f64 y y) #s(literal 1/12 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) (-.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) (*.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64))))) (neg.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) (.f64 y #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (.f64 y (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 (*.f64 y y) #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (.f64 y (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) y)) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 (*.f64 y y) #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) y)) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)))) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 y (*.f64 y y)))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y)))) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y)))) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (.f64 y #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 y #s(literal 1/2 binary64)))) (.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y)))) (.f64 #s(literal 1 binary64) (.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(pow.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64))) #s(literal 1 binary64))
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(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) #s(literal 1 binary64))) (neg.f64 (*.f64 y y)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 216 binary64) (/.f64 #s(literal -5832 binary64) (.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) y)))) (/.f64 #s(literal 1 binary64) (.f64 y y)))) (neg.f64 (fma.f64 (/.f64 #s(literal -18 binary64) (.f64 y y)) (-.f64 (/.f64 #s(literal -18 binary64) (*.f64 y y)) #s(literal 6 binary64)) #s(literal 36 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 36 binary64) (/.f64 #s(literal 324 binary64) (.f64 (.f64 y (.f64 y y)) y))) (/.f64 #s(literal 1 binary64) (.f64 y y)))) (neg.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y)))))
(pow.f64 (/.f64 (.f64 y y) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 y y) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 y (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (*.f64 y y))) y)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (*.f64 y y)))
(.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(.f64 (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (*.f64 y y)) #s(literal 1 binary64))
(.f64 (neg.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y y))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (*.f64 y y))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (*.f64 y y)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) y))
(.f64 (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) y) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) y) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (.f64 y y) (+.f64 #s(literal 216 binary64) (/.f64 #s(literal -5832 binary64) (.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -18 binary64) (.f64 y y)) (-.f64 (/.f64 #s(literal -18 binary64) (*.f64 y y)) #s(literal 6 binary64)) #s(literal 36 binary64))))
(.f64 (pow.f64 (/.f64 (.f64 y y) (-.f64 #s(literal 36 binary64) (/.f64 #s(literal 324 binary64) (.f64 (.f64 y (.f64 y y)) y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y)))))
(.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (neg.f64 y)))
(.f64 (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(.f64 (/.f64 (+.f64 #s(literal 216 binary64) (/.f64 #s(literal -5832 binary64) (.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) y)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -18 binary64) (.f64 y y)) (-.f64 (/.f64 #s(literal -18 binary64) (.f64 y y)) #s(literal 6 binary64)) #s(literal 36 binary64))) (*.f64 y y)))
(.f64 (/.f64 (+.f64 #s(literal 216 binary64) (/.f64 #s(literal -5832 binary64) (.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) y)))) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -18 binary64) (.f64 y y)) (-.f64 (/.f64 #s(literal -18 binary64) (.f64 y y)) #s(literal 6 binary64)) #s(literal 36 binary64))) y))
(.f64 (/.f64 (+.f64 #s(literal 216 binary64) (/.f64 #s(literal -5832 binary64) (.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) y)))) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -18 binary64) (.f64 y y)) (-.f64 (/.f64 #s(literal -18 binary64) (.f64 y y)) #s(literal 6 binary64)) #s(literal 36 binary64))) (*.f64 y #s(literal 1 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 216 binary64) (/.f64 #s(literal -5832 binary64) (.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) y)))) (.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -18 binary64) (.f64 y y)) (-.f64 (/.f64 #s(literal -18 binary64) (*.f64 y y)) #s(literal 6 binary64)) #s(literal 36 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 216 binary64) (/.f64 #s(literal -5832 binary64) (.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) y)))) (.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -18 binary64) (.f64 y y)) (-.f64 (/.f64 #s(literal -18 binary64) (*.f64 y y)) #s(literal 6 binary64)) #s(literal 36 binary64))) y))
(.f64 (/.f64 (-.f64 #s(literal 36 binary64) (/.f64 #s(literal 324 binary64) (.f64 (.f64 y (.f64 y y)) y))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y)))) (.f64 y y)))
(.f64 (/.f64 (-.f64 #s(literal 36 binary64) (/.f64 #s(literal 324 binary64) (.f64 (.f64 y (.f64 y y)) y))) y) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (*.f64 y y)))) y))
(.f64 (/.f64 (-.f64 #s(literal 36 binary64) (/.f64 #s(literal 324 binary64) (.f64 (.f64 y (.f64 y y)) y))) y) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y)))) (.f64 y #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 36 binary64) (/.f64 #s(literal 324 binary64) (.f64 (.f64 y (.f64 y y)) y))) (.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y)))) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 36 binary64) (/.f64 #s(literal 324 binary64) (.f64 (.f64 y (.f64 y y)) y))) (.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y)))) y))
(.f64 (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (*.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) y))

eval305.0ms (1.1%)

Memory: 36.1MiB live, 275.7MiB allocated
Compiler: Compiled 26 079 to 2 562 computations (90.2% saved)

prune335.0ms (1.2%)

Memory

-5.7MiB live, 263.7MiB allocated

Pruning

35 alts after pruning (26 fresh and 9 done)

	Pruned	Kept	Total
New	939	9	948
Fresh	4	17	21
Picked	2	3	5
Done	1	6	7
Total	946	35	981

Accuracy

100.0%

Counts

981 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.1%	(.f64 #s(approx (exp ( y y)) (fma.f64 y (fma.f64 y (.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64))) x)
	44.7%	(.f64 #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 y (fma.f64 y (.f64 y (.f64 y (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)))) y)))) x)
✓	99.2%	(*.f64 x (exp.f64 y))
	71.3%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (/.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal -1/4 binary64)))) (/.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (fma.f64 y y #s(literal 1 binary64)))))
	71.3%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal -1/4 binary64)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (fma.f64 y y #s(literal 1 binary64)))))
	95.0%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) (.f64 y (.f64 y y)) y) #s(literal 1 binary64))))
	71.3%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal -1/4 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (*.f64 y y)) y) #s(literal 1 binary64))))
	70.9%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) y) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1/2 binary64))) y) #s(literal 1 binary64))))
✓	95.0%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y) #s(literal 1 binary64))))
	95.0%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 #s(literal 6 binary64) (*.f64 y y)))) y) #s(literal 1 binary64))))
	95.0%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 ( y (+ (* y (* y 1/6)) 1/2))) (/.f64 #s(literal 6 binary64) (.f64 y (.f64 y y))))) y) #s(literal 1 binary64))))
✓	95.0%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (.f64 y #s(approx (+ (* y (* y 1/6)) 1/2) (.f64 y (.f64 y #s(literal 1/6 binary64))))) y) #s(literal 1 binary64))))
✓	92.8%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 y (.f64 (.f64 y y) #s(literal 1/2 binary64)) y) #s(literal 1 binary64))))
	94.6%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y #s(approx (+ (* (* y y) (/ (* (+ (* (* y y) (* (* y y) 1/36)) -1/4) y) (+ (* (* y y) 1/6) -1/2))) y) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y (.f64 y (*.f64 y y))) y))) #s(literal 1 binary64))))
✓	83.4%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
	54.3%	(.f64 x #s(approx (exp ( y y)) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))))
	9.9%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (/.f64 (.f64 (fma.f64 (.f64 y (.f64 y (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)))) (.f64 y (.f64 y (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (.f64 y y)) (fma.f64 y (.f64 y (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64))) #s(literal -1 binary64))))))
	44.7%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(approx (+ ( y (* y 1/6)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 y y))) #s(literal 1 binary64))))))
	42.5%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(approx (+ ( y (* y 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
	44.5%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
	44.4%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/6 binary64))))))))
	33.1%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) #s(approx (* (* y y) (+ (* (* y y) (+ (* y (* y 1/6)) 1/2)) 1)) (*.f64 y y)))))
✓	42.2%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y #s(approx (+ ( (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y))))))))
✓	54.4%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
	87.9%	(*.f64 x #s(approx (exp y) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
	94.0%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 y (.f64 y x)) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
	88.4%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y x)) x) x))
	88.4%	#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 y x) x)) x))
	78.2%	#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 y x) x))
	89.1%	#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 x (fma.f64 y (.f64 (*.f64 y y) #s(literal 1/2 binary64)) y)) x))
	84.6%	#s(approx (* x (exp y)) (fma.f64 y (fma.f64 y (*.f64 x (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) x))
✓	66.7%	#s(approx (* x (exp y)) (fma.f64 x y x))
	41.3%	#s(approx (* x (exp y)) (/.f64 (.f64 (fma.f64 y x x) (-.f64 (.f64 y x) x)) (-.f64 (*.f64 y x) x)))
	66.7%	#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
✓	17.6%	#s(approx (* x (exp y)) #s(approx (+ (* x y) x) (*.f64 y x)))

Compiler

Compiled 1 723 to 568 computations (67% saved)

regimes151.0ms (0.5%)

Memory

-9.0MiB live, 105.3MiB allocated

Counts

55 → 1

Calls

Call 1

Inputs
#s(approx (* x (exp y)) #s(approx (+ (* x y) x) (*.f64 y x)))
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 x y x))
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) #s(approx (* y (+ (* (* y 1/2) (* y y)) y)) (*.f64 y y)))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) #s(approx (* (* y y) (+ (* (* y y) (+ (* y (* y 1/6)) 1/2)) 1)) (*.f64 y y)))))
#s(approx (* x (exp (* y y))) (fma.f64 x (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 y x) x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 y (fma.f64 y (*.f64 x (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) x))
(*.f64 x #s(approx (exp y) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y (.f64 y y)))))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y #s(approx (+ ( (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y))))))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y (fma.f64 (.f64 y #s(literal 1/2 binary64)) (*.f64 y y) y)))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(approx (+ ( y (* y 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 x (fma.f64 y (.f64 (*.f64 y y) #s(literal 1/2 binary64)) y)) x))
#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 y x) x)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y x)) x) x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 y (.f64 (.f64 y y) #s(literal 1/2 binary64)) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/6 binary64))))))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(approx (+ ( y (* y 1/6)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 y y))) #s(literal 1 binary64))))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y #s(approx (+ (* (* y y) (/ (* (+ (* (* y y) (* (* y y) 1/36)) -1/4) y) (+ (* (* y y) 1/6) -1/2))) y) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y (.f64 y (*.f64 y y))) y))) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (.f64 y #s(approx (+ (* y (* y 1/6)) 1/2) (.f64 y (.f64 y #s(literal 1/6 binary64))))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (.f64 y #s(approx (+ (* y (* y 1/6)) 1/2) (.f64 (.f64 y y) #s(literal 1/6 binary64)))) y) #s(literal 1 binary64))))
(.f64 #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 y (fma.f64 y (.f64 y (.f64 y (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)))) 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 y (.f64 x (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y)) x))
#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 y (fma.f64 (.f64 x (.f64 y y)) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 y (.f64 y x)) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64))))
(.f64 #s(approx (exp ( y y)) (fma.f64 y (fma.f64 y (.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64))) x)
(.f64 x #s(approx (exp ( y y)) (fma.f64 (.f64 y (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 y (.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 #s(literal 6 binary64) (*.f64 y y)))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 ( y (+ (* y (* y 1/6)) 1/2))) (/.f64 #s(literal 6 binary64) (.f64 y (.f64 y y))))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y #s(approx (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (.f64 (.f64 y (.f64 y (.f64 y y))) y))) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) y) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1/2 binary64))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) (.f64 y (.f64 y y)) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal -1/4 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (*.f64 y y)) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal -1/4 binary64)))) (/.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal -1/4 binary64)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (fma.f64 y y #s(literal 1 binary64)))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (/.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal -1/4 binary64)))) (/.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (fma.f64 y y #s(literal 1 binary64)))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (/.f64 (.f64 (fma.f64 (.f64 y (.f64 y (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)))) (.f64 y (.f64 y (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (.f64 y y)) (fma.f64 y (.f64 y (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64))) #s(literal -1 binary64))))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) y) (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 y y) #s(literal -1/12 binary64)))) y) #s(literal 1 binary64))))
(*.f64 x (exp.f64 y))
(.f64 x (exp.f64 (.f64 y y)))

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

Calls

5 calls:

49.0ms	(*.f64 y y)
48.0ms	y
25.0ms	x
14.0ms	(.f64 x (exp.f64 (.f64 y y)))
12.0ms	(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)

regimes184.0ms (0.7%)

Memory

23.5MiB live, 150.5MiB allocated

Counts

54 → 1

Calls

Call 1

Inputs
#s(approx (* x (exp y)) #s(approx (+ (* x y) x) (*.f64 y x)))
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 x y x))
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) #s(approx (* y (+ (* (* y 1/2) (* y y)) y)) (*.f64 y y)))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) #s(approx (* (* y y) (+ (* (* y y) (+ (* y (* y 1/6)) 1/2)) 1)) (*.f64 y y)))))
#s(approx (* x (exp (* y y))) (fma.f64 x (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 y x) x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 y (fma.f64 y (*.f64 x (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) x))
(*.f64 x #s(approx (exp y) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y (.f64 y y)))))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y #s(approx (+ ( (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y))))))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y (fma.f64 (.f64 y #s(literal 1/2 binary64)) (*.f64 y y) y)))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(approx (+ ( y (* y 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 x (fma.f64 y (.f64 (*.f64 y y) #s(literal 1/2 binary64)) y)) x))
#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 y x) x)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y x)) x) x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 y (.f64 (.f64 y y) #s(literal 1/2 binary64)) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/6 binary64))))))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(approx (+ ( y (* y 1/6)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 y y))) #s(literal 1 binary64))))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y #s(approx (+ (* (* y y) (/ (* (+ (* (* y y) (* (* y y) 1/36)) -1/4) y) (+ (* (* y y) 1/6) -1/2))) y) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y (.f64 y (*.f64 y y))) y))) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (.f64 y #s(approx (+ (* y (* y 1/6)) 1/2) (.f64 y (.f64 y #s(literal 1/6 binary64))))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (.f64 y #s(approx (+ (* y (* y 1/6)) 1/2) (.f64 (.f64 y y) #s(literal 1/6 binary64)))) y) #s(literal 1 binary64))))
(.f64 #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 y (fma.f64 y (.f64 y (.f64 y (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)))) 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 y (.f64 x (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y)) x))
#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 y (fma.f64 (.f64 x (.f64 y y)) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 y (.f64 y x)) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64))))
(.f64 #s(approx (exp ( y y)) (fma.f64 y (fma.f64 y (.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64))) x)
(.f64 x #s(approx (exp ( y y)) (fma.f64 (.f64 y (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 y (.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 #s(literal 6 binary64) (*.f64 y y)))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 ( y (+ (* y (* y 1/6)) 1/2))) (/.f64 #s(literal 6 binary64) (.f64 y (.f64 y y))))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y #s(approx (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (.f64 (.f64 y (.f64 y (.f64 y y))) y))) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) y) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1/2 binary64))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) (.f64 y (.f64 y y)) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal -1/4 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (*.f64 y y)) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal -1/4 binary64)))) (/.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal -1/4 binary64)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (fma.f64 y y #s(literal 1 binary64)))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (/.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal -1/4 binary64)))) (/.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (fma.f64 y y #s(literal 1 binary64)))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (/.f64 (.f64 (fma.f64 (.f64 y (.f64 y (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)))) (.f64 y (.f64 y (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (.f64 y y)) (fma.f64 y (.f64 y (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64))) #s(literal -1 binary64))))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) y) (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 y y) #s(literal -1/12 binary64)))) y) #s(literal 1 binary64))))
(*.f64 x (exp.f64 y))

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

Calls

5 calls:

66.0ms	(.f64 x (exp.f64 (.f64 y y)))
58.0ms	(exp.f64 (*.f64 y y))
28.0ms	y
15.0ms	x
13.0ms	(*.f64 y y)

Results

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

Compiler

Compiled 25 to 16 computations (36% saved)

regimes126.0ms (0.4%)

Memory

-30.2MiB live, 98.0MiB allocated

Counts

53 → 1

Calls

Call 1

Inputs
#s(approx (* x (exp y)) #s(approx (+ (* x y) x) (*.f64 y x)))
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 x y x))
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) #s(approx (* y (+ (* (* y 1/2) (* y y)) y)) (*.f64 y y)))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) #s(approx (* (* y y) (+ (* (* y y) (+ (* y (* y 1/6)) 1/2)) 1)) (*.f64 y y)))))
#s(approx (* x (exp (* y y))) (fma.f64 x (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 y x) x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 y (fma.f64 y (*.f64 x (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) x))
(*.f64 x #s(approx (exp y) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y (.f64 y y)))))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y #s(approx (+ ( (* y 1/2) (* y y)) y) (.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y))))))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y (fma.f64 (.f64 y #s(literal 1/2 binary64)) (*.f64 y y) y)))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(approx (+ ( y (* y 1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 x (fma.f64 y (.f64 (*.f64 y y) #s(literal 1/2 binary64)) y)) x))
#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 y x) x)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y x)) x) x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 y (.f64 (.f64 y y) #s(literal 1/2 binary64)) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/6 binary64))))))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(approx (+ ( y (* y 1/6)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 y y))) #s(literal 1 binary64))))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y #s(approx (+ (* (* y y) (/ (* (+ (* (* y y) (* (* y y) 1/36)) -1/4) y) (+ (* (* y y) 1/6) -1/2))) y) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y (.f64 y (*.f64 y y))) y))) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (.f64 y #s(approx (+ (* y (* y 1/6)) 1/2) (.f64 y (.f64 y #s(literal 1/6 binary64))))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (.f64 y #s(approx (+ (* y (* y 1/6)) 1/2) (.f64 (.f64 y y) #s(literal 1/6 binary64)))) y) #s(literal 1 binary64))))
(.f64 #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 y (fma.f64 y (.f64 y (.f64 y (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)))) 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 y (.f64 x (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y)) x))
#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 y (fma.f64 (.f64 x (.f64 y y)) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 y (.f64 y x)) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64))))
(.f64 #s(approx (exp ( y y)) (fma.f64 y (fma.f64 y (.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64))) x)
(.f64 x #s(approx (exp ( y y)) (fma.f64 (.f64 y (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 y (.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 #s(literal 6 binary64) (*.f64 y y)))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 ( y (+ (* y (* y 1/6)) 1/2))) (/.f64 #s(literal 6 binary64) (.f64 y (.f64 y y))))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y #s(approx (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (.f64 (.f64 y (.f64 y (.f64 y y))) y))) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 y #s(approx (/ 1 (+ ( (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) y) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1/2 binary64))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* y y) 1/6) 1/2)) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 y y))) (.f64 y y)))) (.f64 y (.f64 y y)) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal -1/4 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (*.f64 y y)) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal -1/4 binary64)))) (/.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal -1/4 binary64)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (fma.f64 y y #s(literal 1 binary64)))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (/.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal -1/4 binary64)))) (/.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (fma.f64 y y #s(literal 1 binary64)))))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (/.f64 (.f64 (fma.f64 (.f64 y (.f64 y (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)))) (.f64 y (.f64 y (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (.f64 y y)) (fma.f64 y (.f64 y (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64))) #s(literal -1 binary64))))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) y) (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 y y) #s(literal -1/12 binary64)))) y) #s(literal 1 binary64))))

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

Calls

5 calls:

26.0ms	(exp.f64 (*.f64 y y))
21.0ms	y
15.0ms	x
14.0ms	(.f64 x (exp.f64 (.f64 y y)))
13.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
95.1%	1	`x`
95.1%	1	`y`
95.1%	1	`(.f64 x (exp.f64 (.f64 y y)))`
95.1%	1	`(exp.f64 (*.f64 y y))`
95.1%	1	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes9.2s (32.7%)

Memory

-6.6MiB live, 68.7MiB allocated

Counts

32 → 1

Calls

Call 1

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

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

Calls

5 calls:

9.1s	(.f64 x (exp.f64 (.f64 y y)))
25.0ms	x
9.0ms	y
8.0ms	(*.f64 y y)
7.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
95.0%	1	`x`
95.0%	1	`y`
95.0%	1	`(.f64 x (exp.f64 (.f64 y y)))`
95.0%	1	`(exp.f64 (*.f64 y y))`
95.0%	1	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes46.0ms (0.2%)

Memory

25.6MiB live, 64.8MiB allocated

Counts

25 → 1

Calls

Call 1

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

Calls

5 calls:

17.0ms	(.f64 x (exp.f64 (.f64 y y)))
8.0ms	x
8.0ms	y
7.0ms	(*.f64 y y)
6.0ms	(exp.f64 (*.f64 y y))

Results

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

Compiler

Compiled 25 to 16 computations (36% saved)

regimes9.0s (32.1%)

Memory

-23.8MiB live, 61.0MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
92.8%	1	`x`
95.1%	2	`y`
95.1%	2	`(.f64 x (exp.f64 (.f64 y y)))`
95.1%	2	`(exp.f64 (*.f64 y y))`
95.1%	2	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes60.0ms (0.2%)

Memory

8.4MiB live, 47.0MiB allocated

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

41.0ms	(.f64 x (exp.f64 (.f64 y y)))
7.0ms	y
6.0ms	(*.f64 y y)
5.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
95.1%	2	`y`
95.1%	2	`(.f64 x (exp.f64 (.f64 y y)))`
95.1%	2	`(exp.f64 (*.f64 y y))`
95.1%	2	`(*.f64 y y)`

Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes26.0ms (0.1%)

Memory

8.7MiB live, 46.6MiB allocated

Counts

20 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
92.8%	1	`y`
92.8%	1	`(.f64 x (exp.f64 (.f64 y y)))`
92.8%	1	`(exp.f64 (*.f64 y y))`
92.8%	1	`(*.f64 y y)`

Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes35.0ms (0.1%)

Memory

-5.9MiB live, 69.3MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

9.0ms	x
8.0ms	(exp.f64 (*.f64 y y))
6.0ms	y
6.0ms	(.f64 x (exp.f64 (.f64 y y)))
5.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
89.1%	1	`x`
92.8%	2	`y`
92.8%	2	`(.f64 x (exp.f64 (.f64 y y)))`
92.8%	2	`(exp.f64 (*.f64 y y))`
92.8%	2	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes21.0ms (0.1%)

Memory

1.7MiB live, 40.7MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
92.7%	2	`y`
92.7%	2	`(.f64 x (exp.f64 (.f64 y y)))`
92.7%	2	`(exp.f64 (*.f64 y y))`
92.7%	2	`(*.f64 y y)`

Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes18.0ms (0.1%)

Memory

-4.4MiB live, 34.6MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
92.7%	2	`y`
92.7%	2	`(.f64 x (exp.f64 (.f64 y y)))`
92.7%	2	`(exp.f64 (*.f64 y y))`
92.7%	2	`(*.f64 y y)`

Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes23.0ms (0.1%)

Memory

-4.8MiB live, 38.1MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	x
4.0ms	y
4.0ms	(.f64 x (exp.f64 (.f64 y y)))
4.0ms	(*.f64 y y)
3.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
87.9%	1	`x`
87.9%	1	`(.f64 x (exp.f64 (.f64 y y)))`
87.9%	1	`(exp.f64 (*.f64 y y))`
87.9%	1	`y`
87.9%	1	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes21.0ms (0.1%)

Memory

0.5MiB live, 39.2MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
84.6%	1	`x`
84.6%	1	`y`
84.6%	1	`(.f64 x (exp.f64 (.f64 y y)))`
84.6%	1	`(exp.f64 (*.f64 y y))`
84.6%	1	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes19.0ms (0.1%)

Memory

-2.6MiB live, 36.1MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
83.4%	1	`x`
83.4%	1	`y`
83.4%	1	`(*.f64 y y)`
83.4%	1	`(.f64 x (exp.f64 (.f64 y y)))`
83.4%	1	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes14.0ms (0%)

Memory

22.6MiB live, 22.7MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	x
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
83.0%	2	`(.f64 x (exp.f64 (.f64 y y)))`
83.0%	2	`(exp.f64 (*.f64 y y))`
66.7%	1	`x`
83.0%	2	`y`
83.0%	2	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes26.0ms (0.1%)

Memory

-21.4MiB live, 17.9MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

18.0ms	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
66.7%	1	`x`
66.7%	1	`(.f64 x (exp.f64 (.f64 y y)))`
66.7%	1	`(exp.f64 (*.f64 y y))`
66.7%	1	`y`
66.7%	1	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes8.0ms (0%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

2 → 2

Calls

Call 1

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
66.9%	2	`y`
66.9%	2	`(.f64 x (exp.f64 (.f64 y y)))`
66.9%	2	`(exp.f64 (*.f64 y y))`
56.3%	2	`x`
66.9%	2	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes6.0ms (0%)

Memory

14.0MiB live, 14.0MiB 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 (+ (* x y) x) (*.f64 y x)))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
17.6%	1	`x`
17.6%	1	`(.f64 x (exp.f64 (.f64 y y)))`
17.6%	1	`(exp.f64 (*.f64 y y))`
17.6%	1	`y`
17.6%	1	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0001801186622342523	2176593.2914420725

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	0.0001801186622342523	2176593.2914420725

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3459875699907412e+56	8.134292016085456e+59

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	0.0001801186622342523	2176593.2914420725

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	0.0001801186622342523	2176593.2914420725

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	0.0001801186622342523	2176593.2914420725

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	0.0001801186622342523	2176593.2914420725

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify36.0ms (0.1%)

Memory

-33.8MiB live, 12.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	544
1	160	544

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 y (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (.f64 y #s(approx (+ (* y (* y 1/6)) 1/2) (.f64 y (.f64 y #s(literal 1/6 binary64))))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y #s(approx (+ (* (* y y) (/ (* (+ (* (* y y) (* (* y y) 1/36)) -1/4) y) (+ (* (* y y) 1/6) -1/2))) y) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y (.f64 y (*.f64 y y))) y))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 y y) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 y (.f64 x (fma.f64 y (.f64 (.f64 y y) #s(literal 1/2 binary64)) y)) x)) (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(if (<=.f64 (.f64 y y) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 y (.f64 x (fma.f64 y (.f64 (.f64 y y) #s(literal 1/2 binary64)) y)) x)) (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/6 binary64)))))))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 y (.f64 (.f64 y y) #s(literal 1/2 binary64)) y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 y y) #s(literal 200000000000000018380567016286756476168068919431369064448 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 y (.f64 x (fma.f64 y (.f64 (.f64 y y) #s(literal 1/2 binary64)) y)) x)) (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y (.f64 y y))))))))
(if (<=.f64 (.f64 y y) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 x (.f64 y y) x)) (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y (fma.f64 (.f64 y #s(literal 1/2 binary64)) (*.f64 y y) y))))))
(if (<=.f64 (.f64 y y) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 x (.f64 y y) x)) (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y (.f64 y y))))))))
(*.f64 x #s(approx (exp y) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 y (fma.f64 y (*.f64 x (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) x))
#s(approx (* x (exp (* y y))) (fma.f64 x (*.f64 y y) x))
(if (<=.f64 (.f64 y y) #s(literal 7378697629483821/36893488147419103232 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 x y x))
(if (<=.f64 (.f64 y y) #s(literal 7378697629483821/36893488147419103232 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp y)) #s(approx (+ (* x y) x) (*.f64 y x))))
#s(approx (* x (exp y)) #s(approx (+ (* x y) x) (*.f64 y x)))

Outputs
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (exp.f64 y))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 (.f64 y y) (.f64 y #s(approx (+ (* y (* y 1/6)) 1/2) (.f64 y (.f64 y #s(literal 1/6 binary64))))) y) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y #s(approx (+ (* (* y y) (/ (* (+ (* (* y y) (* (* y y) 1/36)) -1/4) y) (+ (* (* y y) 1/6) -1/2))) y) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y (.f64 y (*.f64 y y))) y))) #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y #s(approx (+ (* (* y y) (/ (* (+ (* (* y y) (* (* y y) 1/36)) -1/4) y) (+ (* (* y y) 1/6) -1/2))) y) (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (.f64 y (*.f64 y y)))))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 y y) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 y (.f64 x (fma.f64 y (.f64 (.f64 y y) #s(literal 1/2 binary64)) y)) x)) (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(if (<=.f64 (.f64 y y) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 y (.f64 x (fma.f64 y (.f64 (.f64 y y) #s(literal 1/2 binary64)) y)) x)) (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y (+ (* (* y y) (* y (+ (* y (* y 1/6)) 1/2))) y)) 1) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/6 binary64)))))))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y (fma.f64 y (.f64 (.f64 y y) #s(literal 1/2 binary64)) y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 y y) #s(literal 200000000000000018380567016286756476168068919431369064448 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 y (.f64 x (fma.f64 y (.f64 (.f64 y y) #s(literal 1/2 binary64)) y)) x)) (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y (.f64 y y))))))))
(if (<=.f64 (.f64 y y) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 x (.f64 y y) x)) (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 y (fma.f64 (.f64 y #s(literal 1/2 binary64)) (*.f64 y y) y))))))
(if (<=.f64 (.f64 y y) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 x (.f64 y y) x)) (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y (+ (* y (* (* y y) 1/2)) y)) 1) (.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y (.f64 y y))))))))
(*.f64 x #s(approx (exp y) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 y (fma.f64 y (*.f64 x (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) x))
#s(approx (* x (exp (* y y))) (fma.f64 x (*.f64 y y) x))
(if (<=.f64 (.f64 y y) #s(literal 7378697629483821/36893488147419103232 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 x y x))
(if (<=.f64 (.f64 y y) #s(literal 7378697629483821/36893488147419103232 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp y)) #s(approx (+ (* x y) x) (*.f64 y x))))
(if (<=.f64 (.f64 y y) #s(literal 7378697629483821/36893488147419103232 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp y)) #s(approx (+ (* x y) x) (*.f64 x y))))
#s(approx (* x (exp y)) #s(approx (+ (* x y) x) (*.f64 y x)))
#s(approx (* x (exp y)) #s(approx (+ (* x y) x) (*.f64 x y)))

soundness1.9s (6.8%)

Memory

15.4MiB live, 1 161.5MiB allocated

Rules

26 516×	`lower-fma.f64`
26 516×	`lower-fma.f32`
12 900×	`lower-fma.f64`
12 900×	`lower-fma.f32`
8 204×	`lower-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	192
0	48	192
1	160	184
2	1097	184
0	8381	176
0	33	272
1	95	272
2	276	266
3	750	264
4	989	264
5	1161	264
6	1318	264
7	1436	264
8	1436	262
9	1767	262
10	1800	262
11	1801	262
12	1823	262
0	1823	250
0	145	2946
1	447	2876
2	1150	2838
3	3010	2804
4	6451	2804
0	8149	2611
0	105	1910
1	341	1850
2	850	1834
3	3131	1820
4	6079	1820
0	8520	1685
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×	saturated
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 577 to 236 computations (59.1% saved)

preprocess212.0ms (0.8%)

Memory

35.6MiB live, 350.0MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 796 to 236 computations (70.4% 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	27	214
0	48	214
1	92	206
2	186	206
3	304	206
4	485	206
5	541	206
6	637	206
7	647	206
8	654	206
0	654	198

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	27	214
0	48	214
1	92	206
2	186	206
3	304	206
4	485	206
5	541	206
6	637	206
7	647	206
8	654	206
0	654	198

start0.0ms (0%)

analyze0.0ms (0%)

sample889.0ms (3.2%)

explain119.0ms (0.4%)

preprocess48.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize22.0ms (0.1%)

series4.0ms (0%)

simplify67.0ms (0.2%)

rewrite62.0ms (0.2%)

eval5.0ms (0%)

prune16.0ms (0.1%)

simplify28.0ms (0.1%)

localize113.0ms (0.4%)

series46.0ms (0.2%)

simplify393.0ms (1.4%)

rewrite500.0ms (1.8%)

eval312.0ms (1.1%)

prune148.0ms (0.5%)

simplify137.0ms (0.5%)

localize252.0ms (0.9%)

series27.0ms (0.1%)

simplify310.0ms (1.1%)

rewrite347.0ms (1.2%)

eval228.0ms (0.8%)

prune251.0ms (0.9%)

simplify82.0ms (0.3%)

localize194.0ms (0.7%)

series52.0ms (0.2%)

simplify453.0ms (1.6%)

rewrite1.2s (4.2%)

eval305.0ms (1.1%)

prune335.0ms (1.2%)

regimes151.0ms (0.5%)

regimes184.0ms (0.7%)

regimes126.0ms (0.4%)

regimes9.2s (32.7%)

regimes46.0ms (0.2%)

regimes9.0s (32.1%)

regimes60.0ms (0.2%)

regimes26.0ms (0.1%)

regimes35.0ms (0.1%)

regimes21.0ms (0.1%)

regimes18.0ms (0.1%)

regimes23.0ms (0.1%)

regimes21.0ms (0.1%)

regimes19.0ms (0.1%)

regimes14.0ms (0%)

regimes26.0ms (0.1%)

regimes8.0ms (0%)

regimes6.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify36.0ms (0.1%)

soundness1.9s (6.8%)

preprocess212.0ms (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	27	214
0	48	214
1	92	206
2	186	206
3	304	206
4	485	206
5	541	206
6	637	206
7	647	206
8	654	206
0	654	198