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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample800.0ms (3%)

Memory

-37.0MiB live, 891.4MiB allocated

Samples

535.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 295.0ms

ival-mult: 202.0ms (68.5% of total)

ival-exp: 83.0ms (28.1% of total)

ival-true: 6.0ms (2% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain68.0ms (0.3%)

Memory

8.3MiB live, 47.4MiB 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

38.0ms

512×

valid

Compiler

Compiled 42 to 19 computations (54.8% saved)

Precisions

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

ival-mult: 7.0ms (62.9% of total)

ival-exp: 4.0ms (35.9% of total)

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

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

preprocess63.0ms (0.2%)

Memory

-4.6MiB live, 31.4MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`exp-prod`
32×	`distribute-lft-neg-in`
32×	`div-sub`
30×	`associate-r`
27×	`distribute-neg-frac2`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 8 to 5 computations (37.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

simplify3.0ms (0%)

Memory

3.8MiB live, 3.8MiB 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

3×	`lower-*.f32`
2×	`lift-*.f64`
2×	`lower-exp.f32`
1×	`*-commutative`
1×	`lift-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize17.0ms (0.1%)

Memory

28.6MiB live, 28.6MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

11.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-mult: 3.0ms (54.5% of total)

ival-exp: 2.0ms (36.3% of total)

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

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

series18.0ms (0.1%)

Memory

-39.4MiB live, 6.2MiB 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	@	-inf	(* x (exp (* y y)))
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)

simplify146.0ms (0.5%)

Memory

31.7MiB live, 70.5MiB allocated

Algorithm

1×	egg-herbie

Rules

1 353×	`lower-fma.f64`
1 353×	`lower-fma.f32`
583×	`lower-*.f64`
583×	`lower-*.f32`
389×	`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 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
x
(+ x (* x (pow y 2)))
(fma.f64 (*.f64 y x) y x)
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(.f64 (fma.f64 (fma.f64 (.f64 (*.f64 y y) y) #s(literal 1/2 binary64) y) y #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 y y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64) y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(fma.f64 (fma.f64 (.f64 (.f64 y y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) 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)

rewrite147.0ms (0.5%)

Memory

-25.3MiB live, 94.8MiB allocated

Rules

275×	`frac-add`
222×	`associate-r`
201×	`associate-l`
170×	`associate-*r/`
161×	`frac-times`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	14
1	13	14
2	26	14
3	69	14
4	294	5
5	2666	5
6	2914	5
0	8	14
1	13	14
2	26	14
3	69	14
4	294	14
5	2666	14
0	8	13
1	13	13
2	26	13
3	69	13
4	294	5
0	2666	5

Stop Event

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

Counts

3 → 7

Calls

Call 1

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

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

eval5.0ms (0%)

Memory: 12.3MiB live, 12.3MiB allocated
Compiler: Compiled 393 to 33 computations (91.6% saved)

prune9.0ms (0%)

Memory

-19.0MiB live, 20.3MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

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

Accuracy

100.0%

Counts

55 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(*.f64 x (exp.f64 y))
	97.0%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))))
▶	94.6%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64) y) y #s(literal 1 binary64))))
▶	84.4%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
▶	50.7%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
▶	78.2%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))

Compiler

Compiled 134 to 76 computations (43.3% saved)

simplify11.0ms (0%)

Memory

21.3MiB live, 21.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

106×	`lower-*.f32`
99×	`lower-*.f64`
73×	`lower-fma.f32`
69×	`lower-fma.f64`
43×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	140
0	38	140
1	58	130
2	77	130
3	103	130
4	117	130
5	130	130
6	136	130
7	207	130
8	212	130
9	214	130
0	214	130

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

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

localize75.0ms (0.3%)

Memory

-13.4MiB live, 154.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64) y) y #s(literal 1 binary64))))
accuracy	0.02734375	(fma.f64 (fma.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64) y) y #s(literal 1 binary64))
accuracy	0.0625	(.f64 (.f64 y y) y)
accuracy	5.279023846590137	#s(approx (exp (* y y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64) y) 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	13.810827529171688	#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
accuracy	0	(*.f64 y x)
accuracy	0.05859375	(fma.f64 (*.f64 y x) y x)
accuracy	13.966071332727102	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
accuracy	0.00390625	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
accuracy	31.811133225250444	#s(approx (exp (* y y)) #s(literal 1 binary64))
accuracy	0	(exp.f64 y)
accuracy	0.00390625	(*.f64 x (exp.f64 y))

Samples

38.0ms

256×

valid

Compiler

Compiled 102 to 20 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 11.0ms (48.1% of total)

ival-add: 7.0ms (30.6% of total)

ival-exp: 4.0ms (17.5% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.1%)

Memory

-2.0MiB live, 37.1MiB allocated

Counts

15 → 264

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

Calls

66 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(+ (* (+ (* (* (* y y) y) 1/2) y) y) 1)
1.0ms	y	@	0	(* x (exp y))
1.0ms	x	@	inf	(+ (* (* y x) y) x)
0.0ms	x	@	0	(* x (exp y))
0.0ms	y	@	inf	(+ (* (+ (* (* (* y y) y) 1/2) y) y) 1)

simplify611.0ms (2.3%)

Memory

6.8MiB live, 158.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 715×	`lower-fma.f64`
11 715×	`lower-fma.f32`
2 540×	`lower-*.f64`
2 540×	`lower-*.f32`
957×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	1556
1	262	1520
2	635	1500
3	2636	1500
4	6384	1500
0	8202	1393

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 257

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

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

rewrite9.3s (34.4%)

Memory

12.7MiB live, 170.1MiB allocated

Rules

4 972×	`lower-fma.f32`
4 968×	`lower-fma.f64`
2 486×	`lower-*.f32`
2 479×	`lower-*.f64`
1 324×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	124
0	38	114
1	106	114
2	616	114
3	6325	114
0	8100	114

Stop Event

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

Counts

15 → 393

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

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

eval9.1s (33.7%)

Memory: -7.5MiB live, 148.4MiB allocated
Compiler: Compiled 18 061 to 1 366 computations (92.4% saved)

prune282.0ms (1%)

Memory

-3.8MiB live, 199.3MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	641	9	650
Fresh	0	1	1
Picked	2	3	5
Done	0	0	0
Total	643	13	656

Accuracy

100.0%

Counts

656 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(*.f64 x (exp.f64 y))
▶	97.0%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))))
	60.5%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (.f64 (.f64 (.f64 y y) (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) y)) y) #s(literal 1 binary64))) y) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) y)) y)) #s(literal 1 binary64))))
▶	47.8%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* (+ (* (* (* y y) y) 1/2) y) y) 1) (.f64 (fma.f64 (.f64 (*.f64 y y) y) #s(literal 1/2 binary64) y) y))))
	47.6%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* (+ (* (* (* y y) y) 1/2) y) y) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64)) y))))
▶	37.8%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
✓	50.7%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
▶	89.9%	(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
	92.1%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y) y x))
✓	78.2%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
	31.6%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y x) y) x) (.f64 (.f64 y x) y)))
	85.2%	#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y x))
▶	66.8%	#s(approx (* x (exp y)) (fma.f64 y x x))

Compiler

Compiled 337 to 176 computations (47.8% saved)

simplify83.0ms (0.3%)

Memory

-5.9MiB live, 33.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

667×	`lower-fma.f32`
659×	`lower-fma.f64`
271×	`lower-*.f32`
263×	`lower-*.f64`
142×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	318
0	63	318
1	103	290
2	184	290
3	372	290
4	612	290
5	762	290
6	786	290
0	786	284

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize200.0ms (0.7%)

Memory

19.6MiB live, 131.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.03125	(.f64 (fma.f64 (.f64 (*.f64 y y) y) #s(literal 1/2 binary64) y) y)
accuracy	0.0625	(.f64 (.f64 y y) y)
accuracy	5.279023846590137	#s(approx (exp (* y y)) #s(approx (+ (* (+ (* (* (* y y) y) 1/2) y) y) 1) (.f64 (fma.f64 (.f64 (*.f64 y y) y) #s(literal 1/2 binary64) y) y)))
accuracy	30.24033895605475	#s(approx (+ (* (+ (* (* (* y y) y) 1/2) y) y) 1) (.f64 (fma.f64 (.f64 (*.f64 y y) y) #s(literal 1/2 binary64) y) y))
accuracy	0.03515625	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
accuracy	0.04296875	(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
accuracy	0.1484375	(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy	8.419241617932155	#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy	0	(*.f64 y y)
accuracy	0.00390625	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
accuracy	13.810827529171688	#s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))
accuracy	30.447326778346074	#s(approx (+ (* y y) 1) (*.f64 y y))
accuracy	0	(fma.f64 y x x)
accuracy	21.09183362390095	#s(approx (* x (exp y)) (fma.f64 y x x))
accuracy	0.0390625	(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64))
accuracy	0.0625	(.f64 (.f64 y y) y)
accuracy	0.32421875	(*.f64 #s(literal 1/6 binary64) y)
accuracy	3.078781662484303	#s(approx (exp (* y y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)))

Samples

162.0ms

256×

valid

Compiler

Compiled 192 to 32 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 18.0ms (48.9% of total)

ival-add: 10.0ms (27.2% of total)

ival-exp: 4.0ms (10.9% of total)

const: 4.0ms (10.9% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.1%)

Memory

-5.9MiB live, 35.8MiB allocated

Counts

22 → 336

Calls

Call 1

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

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

Calls

84 calls:

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

simplify228.0ms (0.8%)

Memory

1.3MiB live, 338.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6 600×	`lower-fma.f64`
6 600×	`lower-fma.f32`
2 032×	`lower-*.f64`
2 032×	`lower-*.f32`
1 344×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	2092
1	467	2050
2	1259	2022
3	3528	1992
4	7433	1984
0	8220	1798

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 329

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

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

rewrite322.0ms (1.2%)

Memory

-8.8MiB live, 374.1MiB allocated

Rules

5 454×	`lower-fma.f32`
5 446×	`lower-fma.f64`
2 149×	`lower-*.f32`
2 141×	`lower-*.f64`
1 994×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	282
0	63	258
1	215	258
2	1514	258
0	8686	252

Stop Event

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

Counts

22 → 368

Calls

Call 1

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

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

eval112.0ms (0.4%)

Memory: 16.4MiB live, 171.6MiB allocated
Compiler: Compiled 19 089 to 1 607 computations (91.6% saved)

prune177.0ms (0.7%)

Memory

6.7MiB live, 255.4MiB allocated

Pruning

28 alts after pruning (21 fresh and 7 done)

	Pruned	Kept	Total
New	744	17	761
Fresh	1	4	5
Picked	1	4	5
Done	0	3	3
Total	746	28	774

Accuracy

100.0%

Counts

774 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(*.f64 x (exp.f64 y))
▶	97.0%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (*.f64 y y)) y y) y #s(literal 1 binary64))))
	70.0%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y) #s(literal -1/4 binary64)) (.f64 (.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64))) y) y #s(literal 1 binary64))))
✓	97.0%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))))
	54.8%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) y) (/.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 y y) y) y) #s(literal 1/4 binary64)) (.f64 y (.f64 y #s(literal 1/12 binary64))))) y) y #s(literal 1 binary64))))
	68.8%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) y) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 y y) y) y))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)))) y) y #s(literal 1 binary64))))
	68.8%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) y) (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 y y) y) y)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))) y) y #s(literal 1 binary64))))
	96.7%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) y) #s(approx (+ (* (* 1/6 y) y) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y) y #s(literal 1 binary64))))
▶	97.0%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (*.f64 y y) y) y))) y #s(literal 1 binary64))))
	96.4%	(.f64 x #s(approx (exp ( y y)) (fma.f64 #s(approx (+ (* (* (* y y) y) (+ (* (* 1/6 y) y) 1/2)) y) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) (.f64 y y))) y #s(literal 1 binary64))))
	96.4%	(.f64 x #s(approx (exp ( y y)) (fma.f64 #s(approx (+ (* (* (* y y) y) (+ (* (* 1/6 y) y) 1/2)) y) (.f64 (.f64 y (.f64 (.f64 (*.f64 y y) y) y)) #s(literal 1/6 binary64))) y #s(literal 1 binary64))))
	49.7%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* (+ (* (* (* y y) y) (+ (* (* 1/6 y) y) 1/2)) y) y) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) y) y) #s(literal 1/6 binary64)))))
✓	47.8%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* (+ (* (* (* y y) y) 1/2) y) y) 1) (.f64 (fma.f64 (.f64 (*.f64 y y) y) #s(literal 1/2 binary64) y) y))))
	47.6%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* (+ (* (* (* y y) y) 1/2) y) y) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64)) y))))
✓	37.8%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
✓	50.7%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
	90.2%	(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y #s(literal 1 binary64))))
▶	44.3%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
	43.8%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))))
	43.6%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))
▶	92.1%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y) y x))
	92.8%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 y x) (fma.f64 (.f64 (*.f64 y y) y) #s(literal 1/2 binary64) y) x))
✓	78.2%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
	31.6%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y x) y) x) (.f64 (.f64 y x) y)))
	85.2%	#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y x))
	87.0%	#s(approx (* x (exp y)) (fma.f64 (*.f64 y x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x))
✓	66.8%	#s(approx (* x (exp y)) (fma.f64 y x x))
▶	21.1%	#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 938 to 491 computations (47.7% saved)

simplify69.0ms (0.3%)

Memory

-15.3MiB live, 99.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

805×	`lower-fma.f32`
797×	`lower-fma.f64`
424×	`lower-*.f32`
414×	`lower-*.f64`
213×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	427
0	77	411
1	129	389
2	225	386
3	594	386
4	1230	386
5	1484	386
6	1564	386
7	1654	386
8	1743	386
9	1795	386
10	1802	386
11	1802	386
0	1802	378

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize172.0ms (0.6%)

Memory

1.7MiB live, 199.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (*.f64 y y))
accuracy	0.0390625	(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64))
accuracy	0.32421875	(*.f64 #s(literal 1/6 binary64) y)
accuracy	3.078781662484303	#s(approx (exp (* y y)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (*.f64 y y)) y y) y #s(literal 1 binary64)))
accuracy	0.03125	(fma.f64 (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y) y x)
accuracy	0.04296875	(.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y)
accuracy	4.008875643110326	(.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
accuracy	5.0706202295467895	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y) y x))
accuracy	0.046875	(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)
accuracy	0.1484375	(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy	8.419241617932155	#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)))
accuracy	29.988536156466253	#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))
accuracy	0	(*.f64 y x)
accuracy	21.09183362390095	#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
accuracy	30.213042980530783	#s(approx (+ (* y x) x) (*.f64 y x))
accuracy	0.06640625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (*.f64 y y) y) y)))
accuracy	0.15151217023498945	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (*.f64 y y) y) y))
accuracy	0.32421875	(*.f64 #s(literal 1/6 binary64) y)
accuracy	3.078781662484303	#s(approx (exp (* y y)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (*.f64 y y) y) y))) y #s(literal 1 binary64)))

Samples

116.0ms

256×

valid

Compiler

Compiled 300 to 40 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-add: 58.0ms (61.5% of total)

ival-mult: 25.0ms (26.5% of total)

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

const: 4.0ms (4.2% of total)

ival-div: 3.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

series29.0ms (0.1%)

Memory

7.3MiB live, 44.7MiB allocated

Counts

24 → 408

Calls

Call 1

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

Outputs
#s(alt y (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/2 (pow y 2)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 5)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 5) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y))) #<representation binary64>) () ())) ())
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#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (.f64 #s(literal 1/6 binary64) y) (patch (.f64 #s(literal 1/6 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (.f64 #s(literal 1/6 binary64) y) (patch (.f64 #s(literal 1/6 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (.f64 #s(literal 1/6 binary64) y) (patch (.f64 #s(literal 1/6 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1/2 (pow y 2))) y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* (pow y 2) (- (* 1/12 (pow y 2)) 1/2))) y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/12 (* 1/24 (pow y 2)))) 1/2))) y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y)) #<representation binary64>) () ())) ())
#s(alt (/ 6 (pow y 5)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- 6 (* 18 (/ 1 (pow y 2)))) (pow y 5)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 6 (/ 18 (pow y 4))) (* 18 (/ 1 (pow y 2)))) (pow y 5)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 6 (+ (* 54 (/ 1 (pow y 6))) (/ 18 (pow y 4)))) (* 18 (/ 1 (pow y 2)))) (pow y 5)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y)) #<representation binary64>) () ())) ())
#s(alt (/ 6 (pow y 5)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 18 (/ 1 (pow y 2))) 6) (pow y 5))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 18 (/ 1 (pow y 2))) (+ 6 (/ 18 (pow y 4)))) (pow y 5))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ (* -1 (/ (+ 18 (* 54 (/ 1 (pow y 2)))) (pow y 4))) (* 18 (/ 1 (pow y 2)))) 6) (pow y 5))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 (.f64 y y) y) y)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 y)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 y)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 y)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/6 (* 1/2 (/ 1 y)))) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/6 (* 1/2 (/ 1 y)))) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/6 (* 1/2 (/ 1 y)))) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/6 (* 1/2 (/ 1 y)))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/6 (* 1/2 (/ 1 y)))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/6 (* 1/2 (/ 1 y)))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 y) (#s(alt (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 2)) (taylor inf y) (#s(alt (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 2)) (taylor -inf y) (#s(alt (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y)) (patch (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))) (taylor 0 y) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y)) (patch (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))) (taylor 0 y) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y)) (patch (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))) (taylor 0 y) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y)) (patch (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 4)) (taylor inf y) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y)) (patch (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y)) (patch (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y)) (patch (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y)) (patch (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 4)) (taylor -inf y) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y)) (patch (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y)) (patch (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y)) (patch (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y)) (patch (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())

Calls

102 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(* (* (+ (* (* y y) 1/2) 1) x) y)
1.0ms	x	@	0	(+ (* (* (* (+ (* (* y y) 1/2) 1) x) y) y) x)
1.0ms	x	@	0	(* (* (+ (* (* y y) 1/2) 1) x) y)
0.0ms	y	@	inf	(+ (* (* (* (+ (* (* y y) 1/2) 1) x) y) y) x)
0.0ms	x	@	inf	(+ (* (* (* (+ (* (* y y) 1/2) 1) x) y) y) x)

simplify250.0ms (0.9%)

Memory

-8.0MiB live, 271.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 118×	`lower-fma.f64`
9 118×	`lower-fma.f32`
2 181×	`lower-+.f64`
2 181×	`lower-+.f32`
1 985×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	208	3148
1	662	3043
2	1848	2999
3	4266	2980
0	8187	2759

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 397

Calls

Call 1

Inputs
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))))))
(* 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
(+ 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 (+ 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 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 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)
1
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6)))
y
(* y (+ 1 (* 1/2 y)))
(* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))
(* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 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)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(* 1/2 (* x (pow y 4)))
(* (pow y 4) (+ (* 1/2 x) (/ x (pow y 2))))
(* (pow y 4) (+ (* 1/2 x) (+ (/ x (pow y 2)) (/ x (pow y 4)))))
(* (pow y 4) (+ (* 1/2 x) (+ (/ x (pow y 2)) (/ x (pow y 4)))))
(* 1/2 (* x (pow y 4)))
(* (pow y 4) (+ (* 1/2 x) (/ x (pow y 2))))
(* (pow y 4) (+ (* 1/2 x) (+ (/ x (pow y 2)) (/ x (pow y 4)))))
(* (pow y 4) (+ (* 1/2 x) (+ (/ x (pow y 2)) (/ x (pow y 4)))))
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) 1)))
(* x y)
(* y (+ x (* 1/2 (* x (pow y 2)))))
(* y (+ x (* 1/2 (* x (pow y 2)))))
(* y (+ x (* 1/2 (* x (pow y 2)))))
(* 1/2 (* x (pow y 3)))
(* (pow y 3) (+ (* 1/2 x) (/ x (pow y 2))))
(* (pow y 3) (+ (* 1/2 x) (/ x (pow y 2))))
(* (pow y 3) (+ (* 1/2 x) (/ x (pow y 2))))
(* 1/2 (* x (pow y 3)))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* -1/2 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* -1/2 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* -1/2 x))))
(* x (* y (+ 1 (* 1/2 (pow y 2)))))
(* x (* y (+ 1 (* 1/2 (pow y 2)))))
(* x (* y (+ 1 (* 1/2 (pow y 2)))))
(* x (* y (+ 1 (* 1/2 (pow y 2)))))
(* x (* y (+ 1 (* 1/2 (pow y 2)))))
(* x (* y (+ 1 (* 1/2 (pow y 2)))))
(* x (* y (+ 1 (* 1/2 (pow y 2)))))
(* x (* y (+ 1 (* 1/2 (pow y 2)))))
(* x (* y (+ 1 (* 1/2 (pow y 2)))))
(* x (* y (+ 1 (* 1/2 (pow y 2)))))
(* x (* y (+ 1 (* 1/2 (pow y 2)))))
(* x (* y (+ 1 (* 1/2 (pow y 2)))))
x
(+ x (* 1/2 (* x (pow y 2))))
(+ x (* 1/2 (* x (pow y 2))))
(+ x (* 1/2 (* x (pow y 2))))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (+ (* 1/2 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* 1/2 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* 1/2 x) (/ x (pow y 2))))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (+ (* 1/2 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* 1/2 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* 1/2 x) (/ x (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (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)
(/ 1 y)
(/ (+ 1 (* -1/2 (pow y 2))) y)
(/ (+ 1 (* (pow y 2) (- (* 1/12 (pow y 2)) 1/2))) y)
(/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/12 (* 1/24 (pow y 2)))) 1/2))) y)
(/ 6 (pow y 5))
(/ (- 6 (* 18 (/ 1 (pow y 2)))) (pow y 5))
(/ (- (+ 6 (/ 18 (pow y 4))) (* 18 (/ 1 (pow y 2)))) (pow y 5))
(/ (- (+ 6 (+ (* 54 (/ 1 (pow y 6))) (/ 18 (pow y 4)))) (* 18 (/ 1 (pow y 2)))) (pow y 5))
(/ 6 (pow y 5))
(* -1 (/ (- (* 18 (/ 1 (pow y 2))) 6) (pow y 5)))
(* -1 (/ (- (* 18 (/ 1 (pow y 2))) (+ 6 (/ 18 (pow y 4)))) (pow y 5)))
(* -1 (/ (- (+ (* -1 (/ (+ 18 (* 54 (/ 1 (pow y 2)))) (pow y 4))) (* 18 (/ 1 (pow y 2)))) 6) (pow y 5)))
1/2
(+ 1/2 (* 1/6 y))
(+ 1/2 (* 1/6 y))
(+ 1/2 (* 1/6 y))
(* 1/6 y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* 1/6 y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* y (+ 1/6 (* 1/2 (/ 1 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 (pow y 2))
(* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))
(* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))
(* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))
(* 1/6 (pow y 4))
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* 1/6 (pow y 4))
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))

Outputs
y
(* y (+ 1 (* 1/2 (pow y 2))))
(fma.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64) y)
(* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(fma.f64 (.f64 (.f64 y y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y)
(* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(fma.f64 (.f64 (.f64 y y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y)
(* 1/6 (pow y 5))
(*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64))
(* (pow y 5) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (pow.f64 y #s(literal 5 binary64)))
(* 1/6 (pow y 5))
(*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64))
(* (pow y 5) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 5 binary64)))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow y 2))) (pow y 2))) 1/6)))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 5 binary64)))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow y 2))) (pow y 2))) 1/6)))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 5 binary64)))
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(fma.f64 (.f64 (.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) y) y x)
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(fma.f64 (.f64 (fma.f64 (.f64 (.f64 x y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) x) y) y x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64) y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(fma.f64 (fma.f64 (.f64 (.f64 y y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) 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 (fma.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64) y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(fma.f64 (fma.f64 (.f64 (.f64 y y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))
(* 1/6 (pow y 6))
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64))
(* (pow y 6) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal 1/6 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 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (*.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 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) #s(literal 1 binary64))
(* 1/6 (pow y 6))
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64))
(* (pow y 6) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal 1/6 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 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (*.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 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) #s(literal 1 binary64))
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
x
(+ x (* x y))
(fma.f64 x y x)
(+ x (* y (+ x (* 1/2 (* x y)))))
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))) y x)
(* x (exp y))
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(* x (+ 1 (* 1/2 (pow y 2))))
(.f64 x (fma.f64 (.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64)))
(* x (+ 1 (* 1/2 (pow y 2))))
(.f64 x (fma.f64 (.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64)))
(* x (+ 1 (* 1/2 (pow y 2))))
(.f64 x (fma.f64 (.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64)))
(* x (+ 1 (* 1/2 (pow y 2))))
(.f64 x (fma.f64 (.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64)))
(* x (+ 1 (* 1/2 (pow y 2))))
(.f64 x (fma.f64 (.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64)))
(* x (+ 1 (* 1/2 (pow y 2))))
(.f64 x (fma.f64 (.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64)))
(* x (+ 1 (* 1/2 (pow y 2))))
(.f64 x (fma.f64 (.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64)))
(* x (+ 1 (* 1/2 (pow y 2))))
(.f64 x (fma.f64 (.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64)))
(* x (+ 1 (* 1/2 (pow y 2))))
(.f64 x (fma.f64 (.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64)))
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(fma.f64 (.f64 (.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) y) y x)
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(fma.f64 (.f64 (fma.f64 (.f64 (.f64 x y) y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) x) y) y x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
(* x (exp (pow y 2)))
(.f64 (exp.f64 (.f64 y y)) x)
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64) y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(fma.f64 (fma.f64 (.f64 (.f64 y y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) 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 (fma.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64) y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(fma.f64 (fma.f64 (.f64 (.f64 y y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))
(* 1/6 (pow y 6))
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64))
(* (pow y 6) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal 1/6 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 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (*.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 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) #s(literal 1 binary64))
(* 1/6 (pow y 6))
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64))
(* (pow y 6) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal 1/6 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 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (*.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 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) #s(literal 1 binary64))
y
(* y (+ 1 (* 1/2 (pow y 2))))
(fma.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64) y)
(* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(fma.f64 (.f64 (.f64 y y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y)
(* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(fma.f64 (.f64 (.f64 y y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y)
(* 1/6 (pow y 5))
(*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64))
(* (pow y 5) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (pow.f64 y #s(literal 5 binary64)))
(* 1/6 (pow y 5))
(*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64))
(* (pow y 5) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 5 binary64)))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow y 2))) (pow y 2))) 1/6)))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 5 binary64)))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow y 2))) (pow y 2))) 1/6)))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 5 binary64)))
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* -1/2 (pow y 2))) y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) y)
(/ (+ 1 (* (pow y 2) (- (* 1/12 (pow y 2)) 1/2))) y)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) y)
(/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/12 (* 1/24 (pow y 2)))) 1/2))) y)
(/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal 1/12 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64)) y)
(/ 6 (pow y 5))
(/.f64 #s(literal 6 binary64) (pow.f64 y #s(literal 5 binary64)))
(/ (- 6 (* 18 (/ 1 (pow y 2)))) (pow y 5))
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (*.f64 y y))) (pow.f64 y #s(literal 5 binary64)))
(/ (- (+ 6 (/ 18 (pow y 4))) (* 18 (/ 1 (pow y 2)))) (pow y 5))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 18 binary64) (.f64 (.f64 y y) (.f64 y y))) (/.f64 #s(literal 18 binary64) (.f64 y y))) #s(literal -6 binary64)) (pow.f64 y #s(literal 5 binary64)))
(/ (- (+ 6 (+ (* 54 (/ 1 (pow y 6))) (/ 18 (pow y 4)))) (* 18 (/ 1 (pow y 2)))) (pow y 5))
(/.f64 (-.f64 (+.f64 (-.f64 (/.f64 #s(literal 18 binary64) (.f64 (.f64 y y) (.f64 y y))) (/.f64 #s(literal 18 binary64) (.f64 y y))) (/.f64 #s(literal 54 binary64) (pow.f64 y #s(literal 6 binary64)))) #s(literal -6 binary64)) (pow.f64 y #s(literal 5 binary64)))
(/ 6 (pow y 5))
(/.f64 #s(literal 6 binary64) (pow.f64 y #s(literal 5 binary64)))
(* -1 (/ (- (* 18 (/ 1 (pow y 2))) 6) (pow y 5)))
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (*.f64 y y))) (pow.f64 y #s(literal 5 binary64)))
(* -1 (/ (- (* 18 (/ 1 (pow y 2))) (+ 6 (/ 18 (pow y 4)))) (pow y 5)))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 18 binary64) (.f64 (.f64 y y) (.f64 y y))) (/.f64 #s(literal 18 binary64) (.f64 y y))) #s(literal -6 binary64)) (pow.f64 y #s(literal 5 binary64)))
(* -1 (/ (- (+ (* -1 (/ (+ 18 (* 54 (/ 1 (pow y 2)))) (pow y 4))) (* 18 (/ 1 (pow y 2)))) 6) (pow y 5)))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 54 binary64) (.f64 y y)) #s(literal 18 binary64)) (.f64 (.f64 y y) (.f64 y y))) (-.f64 (/.f64 #s(literal 18 binary64) (*.f64 y y)) #s(literal 6 binary64))) (pow.f64 y #s(literal 5 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 y))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 y))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 y))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #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 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #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 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64))
(* 1/2 (pow y 2))
(.f64 (.f64 #s(literal 1/2 binary64) y) y)
(* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) y)
(* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) y)
(* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) y)
(* 1/6 (pow y 4))
(.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/6 binary64)) y)
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))
(* 1/6 (pow y 4))
(.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/6 binary64)) y)
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))

rewrite239.0ms (0.9%)

Memory

26.5MiB live, 330.7MiB allocated

Rules

2 947×	`lower-fma.f32`
2 939×	`lower-fma.f64`
2 091×	`lower-/.f32`
2 089×	`lower-/.f64`
1 850×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	357
0	77	323
1	270	323
2	1580	323
0	8323	318

Stop Event

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

Counts

24 → 563

Calls

Call 1

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

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

eval197.0ms (0.7%)

Memory: 18.3MiB live, 299.6MiB allocated
Compiler: Compiled 31 697 to 2 170 computations (93.2% saved)

prune524.0ms (1.9%)

Memory

12.6MiB live, 323.3MiB allocated

Pruning

33 alts after pruning (23 fresh and 10 done)

	Pruned	Kept	Total
New	1 011	11	1 022
Fresh	4	12	16
Picked	2	3	5
Done	0	7	7
Total	1 017	33	1 050

Accuracy

100.0%

Counts

1 050 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(*.f64 x (exp.f64 y))
	55.9%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) #s(literal 1/8 binary64)) (.f64 y y)) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y) (-.f64 #s(literal 1/4 binary64) (.f64 y (.f64 y #s(literal 1/12 binary64)))))) y y) y #s(literal 1 binary64))))
	68.8%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (/.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 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y) #s(literal -1/4 binary64)) (.f64 y y)))) y y) y #s(literal 1 binary64))))
✓	97.0%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (*.f64 y y)) y y) y #s(literal 1 binary64))))
	70.0%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y) #s(literal -1/4 binary64)) (.f64 (.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y) y #s(literal 1 binary64))))
	68.8%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y) #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 y y)) y y) y #s(literal 1 binary64))))
✓	97.0%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))))
	68.8%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) y) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 y y) y) y))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)))) y) y #s(literal 1 binary64))))
	68.8%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) y) (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 y y) y) y)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y))))) y) y #s(literal 1 binary64))))
	96.7%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) y) #s(approx (+ (* (* 1/6 y) y) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y) y #s(literal 1 binary64))))
	96.7%	(.f64 x #s(approx (exp ( y y)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (* 1/6 y) y) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 y y))) (.f64 (.f64 y y) y) y))) y #s(literal 1 binary64))))
	96.4%	(.f64 x #s(approx (exp ( y y)) (fma.f64 #s(approx (+ (* (* (* y y) y) (+ (* (* 1/6 y) y) 1/2)) y) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) (.f64 y y))) y #s(literal 1 binary64))))
	96.4%	(.f64 x #s(approx (exp ( y y)) (fma.f64 #s(approx (+ (* (* (* y y) y) (+ (* (* 1/6 y) y) 1/2)) y) (.f64 (.f64 y (.f64 (.f64 (*.f64 y y) y) y)) #s(literal 1/6 binary64))) y #s(literal 1 binary64))))
	97.0%	(.f64 x #s(approx (exp ( y y)) (fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y))) #s(literal 1 binary64))))
	49.7%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* (+ (* (* (* y y) y) (+ (* (* 1/6 y) y) 1/2)) y) y) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) y) y) #s(literal 1/6 binary64)))))
✓	47.8%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* (+ (* (* (* y y) y) 1/2) y) y) 1) (.f64 (fma.f64 (.f64 (*.f64 y y) y) #s(literal 1/2 binary64) y) y))))
	47.6%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* (+ (* (* (* y y) y) 1/2) y) y) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64)) y))))
✓	37.8%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
✓	50.7%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
✓	44.3%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
	43.8%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))))
	43.8%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
	43.6%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))
	92.1%	#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x (*.f64 y y)) x))
	91.7%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 #s(approx ( (+ (* (* y y) 1/2) 1) x) (.f64 (.f64 (*.f64 x y) #s(literal 1/2 binary64)) y)) y) y x))
	92.8%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 y (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 x y) x))
✓	78.2%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
	31.6%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y x) y) x) (.f64 (.f64 y x) y)))
	85.2%	#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y x))
	87.0%	#s(approx (* x (exp y)) (fma.f64 (*.f64 y x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x))
	87.0%	#s(approx (* x (exp y)) (fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))) y x))
✓	66.8%	#s(approx (* x (exp y)) (fma.f64 y x x))
✓	21.1%	#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 1 408 to 503 computations (64.3% saved)

regimes104.0ms (0.4%)

Memory

-8.3MiB live, 115.3MiB allocated

Counts

44 → 1

Calls

Call 1

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

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

Calls

5 calls:

35.0ms	(.f64 x (exp.f64 (.f64 y y)))
30.0ms	(*.f64 y y)
15.0ms	y
13.0ms	x
10.0ms	(exp.f64 (*.f64 y y))

Results

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

Compiler

Compiled 25 to 16 computations (36% saved)

regimes73.0ms (0.3%)

Memory

-40.0MiB live, 106.0MiB allocated

Counts

43 → 1

Calls

Call 1

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

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

Calls

5 calls:

21.0ms	(exp.f64 (*.f64 y y))
14.0ms	x
13.0ms	(*.f64 y y)
12.0ms	y
12.0ms	(.f64 x (exp.f64 (.f64 y y)))

Results

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

Compiler

Compiled 25 to 16 computations (36% saved)

regimes74.0ms (0.3%)

Memory

-2.6MiB live, 35.7MiB allocated

Counts

42 → 1

Calls

Call 1

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

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

Calls

5 calls:

28.0ms	(.f64 x (exp.f64 (.f64 y y)))
12.0ms	y
12.0ms	x
10.0ms	(*.f64 y y)
9.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
97.0%	1	`x`
97.0%	1	`y`
97.0%	1	`(.f64 x (exp.f64 (.f64 y y)))`
97.0%	1	`(exp.f64 (*.f64 y y))`
97.0%	1	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes97.0ms (0.4%)

Memory

-11.8MiB live, 65.1MiB allocated

Counts

28 → 1

Calls

Call 1

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

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

Calls

5 calls:

15.0ms	(.f64 x (exp.f64 (.f64 y y)))
9.0ms	x
8.0ms	y
7.0ms	(*.f64 y y)
6.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
96.7%	1	`x`
96.7%	1	`y`
96.7%	1	`(.f64 x (exp.f64 (.f64 y y)))`
96.7%	1	`(exp.f64 (*.f64 y y))`
96.7%	1	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes42.0ms (0.2%)

Memory

32.4MiB live, 68.6MiB allocated

Counts

27 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

11.0ms	y
8.0ms	x
8.0ms	(.f64 x (exp.f64 (.f64 y y)))
7.0ms	(*.f64 y y)
6.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
96.4%	1	`x`
96.4%	1	`y`
96.4%	1	`(.f64 x (exp.f64 (.f64 y y)))`
96.4%	1	`(exp.f64 (*.f64 y y))`
96.4%	1	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes42.0ms (0.2%)

Memory

18.9MiB live, 89.8MiB allocated

Counts

26 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

10.0ms	y
9.0ms	(*.f64 y y)
8.0ms	x
7.0ms	(.f64 x (exp.f64 (.f64 y y)))
6.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
96.4%	1	`x`
96.4%	1	`y`
96.4%	1	`(.f64 x (exp.f64 (.f64 y y)))`
96.4%	1	`(exp.f64 (*.f64 y y))`
96.4%	1	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes107.0ms (0.4%)

Memory

-32.6MiB live, 85.9MiB allocated

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

47.0ms	x
31.0ms	(.f64 x (exp.f64 (.f64 y y)))
13.0ms	(exp.f64 (*.f64 y y))
8.0ms	y
7.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
94.6%	1	`x`
96.8%	2	`y`
96.8%	2	`(.f64 x (exp.f64 (.f64 y y)))`
96.8%	2	`(*.f64 y y)`
96.8%	2	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes42.0ms (0.2%)

Memory

12.9MiB live, 93.1MiB allocated

Counts

24 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

regimes39.0ms (0.1%)

Memory

24.4MiB live, 98.0MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
92.8%	1	`x`
94.6%	2	`y`
94.6%	2	`(.f64 x (exp.f64 (.f64 y y)))`
94.6%	2	`(exp.f64 (*.f64 y y))`
94.6%	2	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes144.0ms (0.5%)

Memory

5.8MiB live, 44.5MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

127.0ms	(*.f64 y y)
6.0ms	y
6.0ms	(.f64 x (exp.f64 (.f64 y y)))
5.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
94.4%	2	`y`
94.4%	2	`(.f64 x (exp.f64 (.f64 y y)))`
94.4%	2	`(exp.f64 (*.f64 y y))`
94.4%	2	`(*.f64 y y)`

Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes28.0ms (0.1%)

Memory

-35.2MiB live, 30.8MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
94.4%	2	`y`
94.4%	2	`(.f64 x (exp.f64 (.f64 y y)))`
94.4%	2	`(exp.f64 (*.f64 y y))`
94.4%	2	`(*.f64 y y)`

Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes50.0ms (0.2%)

Memory

-21.9MiB live, 56.0MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

5 calls:

22.0ms	x
12.0ms	(exp.f64 (*.f64 y y))
5.0ms	y
5.0ms	(.f64 x (exp.f64 (.f64 y y)))
5.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
90.2%	1	`x`
90.2%	1	`y`
90.2%	1	`(.f64 x (exp.f64 (.f64 y y)))`
90.2%	1	`(exp.f64 (*.f64 y y))`
90.2%	1	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes36.0ms (0.1%)

Memory

-4.8MiB live, 34.6MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

22.0ms	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
84.4%	1	`x`
90.4%	2	`y`
90.4%	2	`(.f64 x (exp.f64 (.f64 y y)))`
90.4%	2	`(exp.f64 (*.f64 y y))`
90.4%	2	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes12.0ms (0%)

Memory

24.0MiB live, 24.0MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
90.4%	2	`y`
90.4%	2	`(*.f64 y y)`
90.4%	2	`(.f64 x (exp.f64 (.f64 y y)))`
90.4%	2	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes204.0ms (0.8%)

Memory

-22.6MiB live, 17.9MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

195.0ms	(.f64 x (exp.f64 (.f64 y y)))
3.0ms	y
3.0ms	(*.f64 y y)
2.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
84.4%	1	`y`
84.4%	1	`(.f64 x (exp.f64 (.f64 y y)))`
84.4%	1	`(exp.f64 (*.f64 y y))`
84.4%	1	`(*.f64 y y)`

Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes13.0ms (0%)

Memory

21.8MiB live, 21.8MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
78.2%	1	`x`
84.4%	2	`y`
84.4%	2	`(*.f64 y y)`
84.4%	2	`(.f64 x (exp.f64 (.f64 y y)))`
84.4%	2	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes13.0ms (0%)

Memory

-21.2MiB live, 15.8MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

4 calls:

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
84.2%	2	`(.f64 x (exp.f64 (.f64 y y)))`
84.2%	2	`(exp.f64 (*.f64 y y))`
84.2%	2	`y`
84.2%	2	`(*.f64 y y)`

Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes10.0ms (0%)

Memory

24.1MiB live, 24.1MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

5 calls:

2.0ms	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
66.8%	1	`x`
78.0%	2	`y`
78.0%	2	`(.f64 x (exp.f64 (.f64 y y)))`
78.0%	2	`(exp.f64 (*.f64 y y))`
78.0%	2	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes9.0ms (0%)

Memory

-19.9MiB live, 17.7MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	y
2.0ms	(.f64 x (exp.f64 (.f64 y y)))
2.0ms	(*.f64 y y)
1.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
66.8%	1	`y`
66.8%	1	`(*.f64 y y)`
66.8%	1	`(.f64 x (exp.f64 (.f64 y y)))`
66.8%	1	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes8.0ms (0%)

Memory

19.3MiB live, 19.2MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
53.1%	2	`x`
67.0%	2	`(.f64 x (exp.f64 (.f64 y y)))`
67.0%	2	`(exp.f64 (*.f64 y y))`
67.0%	2	`y`
67.0%	2	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes6.0ms (0%)

Memory

15.0MiB live, 15.0MiB 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 (+ (* y x) x) (*.f64 y x)))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
21.1%	1	`x`
21.1%	1	`(.f64 x (exp.f64 (.f64 y y)))`
21.1%	1	`(exp.f64 (*.f64 y y))`
21.1%	1	`y`
21.1%	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	1.0001998860560992	+inf

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.253462363736902e+112	1.0636570517210727e+120

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	0.0001998660815432522	15161040.816539545

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	0.0001998660815432522	15161040.816539545

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0001998860560992	+inf

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0001998860560992	+inf

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.072832350984447e+88	6.66303836553748e+91

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	0.0001998660815432522	15161040.816539545

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	1.0001998860560992	+inf

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0001998660815432522	15161040.816539545

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify39.0ms (0.1%)

Memory

-21.5MiB live, 16.5MiB allocated

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative_binary64`
1×	`1-exp_binary64`
1×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	657
1	171	657

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (exp.f64 y))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) y) #s(approx (+ (* (* 1/6 y) y) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 #s(approx (+ (* (* (* y y) y) (+ (* (* 1/6 y) y) 1/2)) y) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) (.f64 y y))) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 #s(approx (+ (* (* (* y y) y) (+ (* (* 1/6 y) y) 1/2)) y) (.f64 (.f64 y (.f64 (.f64 (*.f64 y y) y) y)) #s(literal 1/6 binary64))) y #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) (fma.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64) y) x)) (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* (* (* y y) y) (+ (* (* 1/6 y) y) 1/2)) y) y) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) y) y) #s(literal 1/6 binary64))))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64) y) y #s(literal 1 binary64))))
(if (<=.f64 (.f64 y y) #s(literal 19999999999999998602398693852608794569346663002779536985231793723294459665661827807523927173788508935154456068096 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) (fma.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64) y) x)) (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* (* (* y y) y) 1/2) y) y) 1) (.f64 (fma.f64 (.f64 (*.f64 y y) y) #s(literal 1/2 binary64) y) y)))))
(if (<=.f64 (.f64 y y) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* (* (* y y) y) 1/2) y) y) 1) (.f64 (fma.f64 (.f64 (*.f64 y y) y) #s(literal 1/2 binary64) y) y)))))
(if (<=.f64 (.f64 y y) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* (* (* y y) y) 1/2) y) y) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64)) y)))))
(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (*.f64 y y) y) #s(literal 1/6 binary64))))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
(if (<=.f64 (.f64 y y) #s(literal 99999999999999999475366575191804932315794610450682175621941694731908308538307845136842752 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))))
(if (<=.f64 (.f64 y y) #s(literal 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)))))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y x) y) x) (.f64 (.f64 y x) y))))
#s(approx (* x (exp y)) (fma.f64 y x 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 (+ (* y x) x) (*.f64 y x))))
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))

Outputs
(.f64 x (exp.f64 (.f64 y y)))
(.f64 (exp.f64 (.f64 y y)) x)
(*.f64 x (exp.f64 y))
(*.f64 (exp.f64 y) x)
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))))
(.f64 #s(approx (exp ( y y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))) x)
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) y) #s(approx (+ (* (* 1/6 y) y) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y) y #s(literal 1 binary64))))
(.f64 #s(approx (exp ( y y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) y) #s(approx (+ (* (* 1/6 y) y) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y) y #s(literal 1 binary64))) x)
(.f64 x #s(approx (exp ( y y)) (fma.f64 #s(approx (+ (* (* (* y y) y) (+ (* (* 1/6 y) y) 1/2)) y) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) (.f64 y y))) y #s(literal 1 binary64))))
(.f64 #s(approx (exp ( y y)) (fma.f64 #s(approx (+ (* (* (* y y) y) (+ (* (* 1/6 y) y) 1/2)) y) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) (.f64 y y))) y #s(literal 1 binary64))) x)
(.f64 x #s(approx (exp ( y y)) (fma.f64 #s(approx (+ (* (* (* y y) y) (+ (* (* 1/6 y) y) 1/2)) y) (.f64 (.f64 y (.f64 (.f64 (*.f64 y y) y) y)) #s(literal 1/6 binary64))) y #s(literal 1 binary64))))
(.f64 #s(approx (exp ( y y)) (fma.f64 #s(approx (+ (* (* (* y y) y) (+ (* (* 1/6 y) y) 1/2)) y) (.f64 (.f64 (.f64 (.f64 (*.f64 y y) y) y) y) #s(literal 1/6 binary64))) y #s(literal 1 binary64))) x)
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) (fma.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64) y) x)) (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* (* (* y y) y) (+ (* (* 1/6 y) y) 1/2)) y) y) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) y) y) #s(literal 1/6 binary64))))))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) (fma.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64) y) x)) (.f64 #s(approx (exp (* y y)) #s(approx (+ (* (+ (* (* (* y y) y) (+ (* (* 1/6 y) y) 1/2)) y) y) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) y) y) #s(literal 1/6 binary64)))) x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64) y) y #s(literal 1 binary64))))
(.f64 #s(approx (exp ( y y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) x)
(if (<=.f64 (.f64 y y) #s(literal 19999999999999998602398693852608794569346663002779536985231793723294459665661827807523927173788508935154456068096 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) (fma.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64) y) x)) (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* (* (* y y) y) 1/2) y) y) 1) (.f64 (fma.f64 (.f64 (*.f64 y y) y) #s(literal 1/2 binary64) y) y)))))
(if (<=.f64 (.f64 y y) #s(literal 19999999999999998602398693852608794569346663002779536985231793723294459665661827807523927173788508935154456068096 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) (fma.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64) y) x)) (.f64 #s(approx (exp (* y y)) #s(approx (+ (* (+ (* (* (* y y) y) 1/2) y) y) 1) (.f64 (fma.f64 (.f64 (*.f64 y y) y) #s(literal 1/2 binary64) y) y))) x))
(if (<=.f64 (.f64 y y) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* (* (* y y) y) 1/2) y) y) 1) (.f64 (fma.f64 (.f64 (*.f64 y y) y) #s(literal 1/2 binary64) y) y)))))
(if (<=.f64 (.f64 y y) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 #s(approx (exp (* y y)) #s(approx (+ (* (+ (* (* (* y y) y) 1/2) y) y) 1) (.f64 (fma.f64 (.f64 (*.f64 y y) y) #s(literal 1/2 binary64) y) y))) x))
(if (<=.f64 (.f64 y y) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* (* (* y y) y) 1/2) y) y) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64)) y)))))
(if (<=.f64 (.f64 y y) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 #s(approx (exp (* y y)) #s(approx (+ (* (+ (* (* (* y y) y) 1/2) y) y) 1) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) y)) y))) x))
(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y #s(literal 1 binary64))))
(.f64 #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y #s(literal 1 binary64))) x)
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))) x))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (*.f64 y y) y) #s(literal 1/6 binary64))))))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) y)))) x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
(.f64 #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))) x)
(if (<=.f64 (.f64 y y) #s(literal 99999999999999999475366575191804932315794610450682175621941694731908308538307845136842752 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))))
(if (<=.f64 (.f64 y y) #s(literal 99999999999999999475366575191804932315794610450682175621941694731908308538307845136842752 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.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)))))
(if (<=.f64 (.f64 y y) #s(literal 7378697629483821/36893488147419103232 binary64)) (.f64 #s(approx (exp (* y y)) #s(literal 1 binary64)) x) (.f64 #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))) x))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y x) y) x) (.f64 (.f64 y x) y))))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) (.f64 #s(approx (exp (* y y)) #s(literal 1 binary64)) x) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y x) y) x) (.f64 (.f64 y x) y))))
#s(approx (* x (exp y)) (fma.f64 y x 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 (+ (* y x) x) (*.f64 y x))))
(if (<=.f64 (.f64 y y) #s(literal 7378697629483821/36893488147419103232 binary64)) (.f64 #s(approx (exp (* y y)) #s(literal 1 binary64)) x) #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))

soundness2.3s (8.4%)

Memory

-12.0MiB live, 1 146.5MiB allocated

Rules

11 715×	`lower-fma.f64`
11 715×	`lower-fma.f32`
9 118×	`lower-fma.f64`
9 118×	`lower-fma.f32`
6 600×	`lower-fma.f64`

Iterations

Useful iterations: 4 (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
0	5	13
0	8	14
1	13	14
2	26	14
3	69	14
4	294	5
5	2666	5
6	2914	5
0	8	14
1	13	14
2	26	14
3	69	14
4	294	14
5	2666	14
0	8	13
1	13	13
2	26	13
3	69	13
4	294	5
0	2666	5
0	142	2092
1	467	2050
2	1259	2022
3	3528	1992
4	7433	1984
0	8220	1798
0	208	3148
1	662	3043
2	1848	2999
3	4266	2980
0	8187	2759
0	84	1556
1	262	1520
2	635	1500
3	2636	1500
4	6384	1500
0	8202	1393

Stop Event

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

Compiler

Compiled 689 to 283 computations (58.9% saved)

preprocess228.0ms (0.8%)

Memory

27.2MiB live, 366.7MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 1 104 to 370 computations (66.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	23	140
0	38	140
1	58	130
2	77	130
3	103	130
4	117	130
5	130	130
6	136	130
7	207	130
8	212	130
9	214	130
0	214	130

Iter	Nodes	Cost
0	38	318
0	63	318
1	103	290
2	184	290
3	372	290
4	612	290
5	762	290
6	786	290
0	786	284

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

Iter	Nodes	Cost
0	23	140
0	38	140
1	58	130
2	77	130
3	103	130
4	117	130
5	130	130
6	136	130
7	207	130
8	212	130
9	214	130
0	214	130

Iter	Nodes	Cost
0	38	318
0	63	318
1	103	290
2	184	290
3	372	290
4	612	290
5	762	290
6	786	290
0	786	284

start0.0ms (0%)

analyze0.0ms (0%)

sample800.0ms (3%)

explain68.0ms (0.3%)

preprocess63.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize17.0ms (0.1%)

series18.0ms (0.1%)

simplify146.0ms (0.5%)

rewrite147.0ms (0.5%)

eval5.0ms (0%)

prune9.0ms (0%)

simplify11.0ms (0%)

localize75.0ms (0.3%)

series18.0ms (0.1%)

simplify611.0ms (2.3%)

rewrite9.3s (34.4%)

eval9.1s (33.7%)

prune282.0ms (1%)

simplify83.0ms (0.3%)

localize200.0ms (0.7%)

series23.0ms (0.1%)

simplify228.0ms (0.8%)

rewrite322.0ms (1.2%)

eval112.0ms (0.4%)

prune177.0ms (0.7%)

simplify69.0ms (0.3%)

localize172.0ms (0.6%)

series29.0ms (0.1%)

simplify250.0ms (0.9%)

rewrite239.0ms (0.9%)

eval197.0ms (0.7%)

prune524.0ms (1.9%)

regimes104.0ms (0.4%)

regimes73.0ms (0.3%)

regimes74.0ms (0.3%)

regimes97.0ms (0.4%)

regimes42.0ms (0.2%)

regimes42.0ms (0.2%)

regimes107.0ms (0.4%)

regimes42.0ms (0.2%)

regimes39.0ms (0.1%)

regimes144.0ms (0.5%)

regimes28.0ms (0.1%)

regimes50.0ms (0.2%)

regimes36.0ms (0.1%)

regimes12.0ms (0%)

regimes204.0ms (0.8%)

regimes13.0ms (0%)

regimes13.0ms (0%)

regimes10.0ms (0%)

regimes9.0ms (0%)

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%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify39.0ms (0.1%)

soundness2.3s (8.4%)

preprocess228.0ms (0.8%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	23	140
0	38	140
1	58	130
2	77	130
3	103	130
4	117	130
5	130	130
6	136	130
7	207	130
8	212	130
9	214	130
0	214	130

Iter	Nodes	Cost
0	38	318
0	63	318
1	103	290
2	184	290
3	372	290
4	612	290
5	762	290
6	786	290
0	786	284