Metrics for Data.Random.Distribution.Normal:normalF from random-fu-0.2.6.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample596.0ms (2.2%)

Memory

13.9MiB live, 1 007.5MiB allocated

Samples

362.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 207.0ms

ival-mult: 140.0ms (67.6% of total)

ival-exp: 58.0ms (28% of total)

ival-true: 6.0ms (2.9% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

explain79.0ms (0.3%)

Memory

-16.6MiB live, 104.7MiB allocated

FPErrors

Click to see full error table

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

41.0ms

512×

valid

Compiler

Compiled 44 to 19 computations (56.8% saved)

Precisions

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

ival-mult: 7.0ms (64.5% of total)

ival-exp: 4.0ms (36.9% of total)

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

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

preprocess25.0ms (0.1%)

Memory

30.3MiB live, 30.3MiB allocated

Algorithm

1×	egg-herbie

Rules

254×	`exp-prod`
104×	`exp-sum`
96×	`associate-r`
64×	`unsub-neg`
60×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	38
1	49	34
2	124	34
3	300	34
4	502	34
5	648	34
6	718	34
7	729	34
0	5	6
0	8	6
1	14	6
2	21	6
3	23	6
4	24	6
0	24	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

Compiler

Compiled 8 to 5 computations (37.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify4.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) y)
cost-diff	0	(exp.f64 (.f64 (.f64 x y) y))

Rules

14×	`exp-prod`
14×	`lower-pow.f64`
14×	`lower-*.f32`
14×	`lower-pow.f32`
10×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	8	16
1	14	16
2	21	16
3	23	16
4	24	16
0	24	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize66.0ms (0.2%)

Memory

-22.2MiB live, 16.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0	(exp.f64 (.f64 (.f64 x y) y))
accuracy	0.1171875	(.f64 (.f64 x y) y)

Samples

61.0ms

256×

valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 5.0ms (72.6% of total)

ival-exp: 2.0ms (29% of total)

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

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

series6.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

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

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

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

Calls

18 calls:

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

simplify213.0ms (0.8%)

Memory

-9.0MiB live, 112.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4 254×	`lower-fma.f64`
4 254×	`lower-fma.f32`
3 168×	`associate-r`
2 634×	`lower-*.f64`
2 634×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	380
1	120	380
2	329	380
3	810	380
4	1104	380
5	1231	380
6	1311	380
7	1334	380
8	1348	380
9	2635	380
10	3226	380
11	4017	380
12	4965	380
13	4986	380
14	4986	380
15	5212	380
16	5212	380
17	5212	380
18	5212	380
19	6612	380
20	6612	380
0	6612	368

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

Calls

Call 1

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

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

rewrite47.0ms (0.2%)

Memory

-10.6MiB live, 28.7MiB allocated

Rules

1 196×	`frac-add`
738×	`frac-times`
536×	`frac-sub`
406×	`associate-*r/`
270×	`pow-pow`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	16
1	14	16
2	29	16
3	92	16
4	482	3
5	3914	3
0	9072	3

Stop Event

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

Counts

3 → 7

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
#s(literal 0 binary64)
x
y
#s(literal 0 binary64)
x
y

eval7.0ms (0%)

Memory: 9.1MiB live, 9.1MiB allocated
Compiler: Compiled 565 to 28 computations (95% saved)

prune8.0ms (0%)

Memory

11.2MiB live, 11.2MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	72	7	79
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	8	80

Accuracy

100.0%

Counts

80 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
▶	88.6%	(exp.f64 (*.f64 x y))
	68.4%	(exp.f64 y)
	64.3%	(exp.f64 x)
▶	74.4%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
▶	73.6%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
▶	67.4%	#s(approx (exp (* (* x y) y)) (fma.f64 x (*.f64 y y) #s(literal 1 binary64)))
▶	53.1%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 148 to 83 computations (43.9% saved)

simplify274.0ms (1%)

Memory

-4.7MiB live, 74.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

4 598×	`lower-fma.f32`
4 586×	`lower-fma.f64`
3 132×	`associate-r`
2 466×	`lower-*.f32`
2 454×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	210
0	43	210
1	96	210
2	278	210
3	1023	210
4	1710	210
5	2248	210
6	3376	210
7	5000	210
8	5632	210
9	5728	210
10	5728	210
11	6217	210
12	6235	210
13	6235	210
14	6235	210
15	6875	210
16	7182	210
17	7182	210
18	7182	210
19	7182	210
0	8728	202

Stop Event

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

Calls

Call 1

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

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

localize134.0ms (0.5%)

Memory

-3.8MiB live, 95.4MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	3.2771622014690434	(fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
accuracy	3.8969816216948567	(.f64 x (.f64 x (*.f64 y y)))
accuracy	6.893239429048927	(.f64 x (.f64 y y))
accuracy	16.627311919044207	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
accuracy	0.6952567374667777	(fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
accuracy	2.135688704319895	(fma.f64 x (.f64 (.f64 x (*.f64 y y)) #s(literal 1/2 binary64)) x)
accuracy	6.893239429048927	(.f64 x (.f64 y y))
accuracy	17.098161944558495	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
accuracy	0	(*.f64 y y)
accuracy	3.3067054546533727	(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
accuracy	22.509653850056083	#s(approx (exp (* (* x y) y)) (fma.f64 x (*.f64 y y) #s(literal 1 binary64)))
accuracy	29.990270172932348	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
accuracy	0	(*.f64 x y)
accuracy	0.03195276988287084	(exp.f64 (*.f64 x y))

Samples

100.0ms

256×

valid

Compiler

Compiled 174 to 27 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-add: 38.0ms (60.5% of total)

ival-mult: 17.0ms (27.1% of total)

ival-exp: 4.0ms (6.4% of total)

const: 3.0ms (4.8% of total)

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

exact: 0.0ms (0% of total)

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

series40.0ms (0.1%)

Memory

-12.7MiB live, 26.6MiB allocated

Counts

15 → 348

Calls

Call 1

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

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

Calls

87 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(+ (* (* y y) (+ (* (* x (* x (* y y))) (+ (* x (* (* y y) 1/6)) 1/2)) x)) 1)
0.0ms	y	@	inf	(+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1)
0.0ms	x	@	inf	(+ (* (* y y) (+ (* (* x (* x (* y y))) (+ (* x (* (* y y) 1/6)) 1/2)) x)) 1)
0.0ms	x	@	-inf	(+ (* (* y y) (+ (* (* x (* x (* y y))) (+ (* x (* (* y y) 1/6)) 1/2)) x)) 1)
0.0ms	y	@	inf	(+ (* x (* (* x (* y y)) 1/2)) x)

simplify221.0ms (0.8%)

Memory

26.5MiB live, 496.2MiB allocated

Algorithm

1×	egg-herbie

Rules

13 146×	`lower-fma.f64`
13 146×	`lower-fma.f32`
4 650×	`lower-*.f64`
4 650×	`lower-*.f32`
1 686×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	194	2996
1	639	2996
2	2014	2932
3	5690	2924
0	8385	2714

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 344

Calls

Call 1

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

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

rewrite296.0ms (1.1%)

Memory

-24.5MiB live, 489.4MiB allocated

Rules

8 210×	`lower-fma.f32`
8 198×	`lower-fma.f64`
5 420×	`lower-*.f32`
5 408×	`lower-*.f64`
4 044×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	172
0	43	172
1	166	172
2	1257	161
0	8121	158

Stop Event

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

Counts

15 → 378

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (exp.f64 y)) x))
(pow.f64 (exp.f64 x) y)
(pow.f64 (exp.f64 x) (fma.f64 y #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 y) x)
(pow.f64 (exp.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 y #s(literal 1/2 binary64)))
(.f64 (exp.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (exp.f64 (.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (*.f64 x y)))
(+.f64 (log.f64 (exp.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))))) (log.f64 (exp.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))))))
(*.f64 x y)
(*.f64 x (log.f64 (exp.f64 y)))
(*.f64 y x)
(.f64 (.f64 x y) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) (fma.f64 x (*.f64 y y) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 y y)))
(+.f64 (.f64 x (.f64 y y)) #s(literal 1 binary64))
(+.f64 (/.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) (fma.f64 x (.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y y) #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) (fma.f64 x (.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y y) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 y y)))) (/.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 y y)))))
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eval125.0ms (0.5%)

Memory: 11.3MiB live, 333.0MiB allocated
Compiler: Compiled 27 608 to 1 405 computations (94.9% saved)

prune115.0ms (0.4%)

Memory

13.2MiB live, 211.5MiB allocated

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	831	16	847
Fresh	0	2	2
Picked	3	2	5
Done	0	1	1
Total	834	21	855

Accuracy

100.0%

Counts

855 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	88.6%	(exp.f64 (*.f64 x y))
	68.4%	(exp.f64 y)
	64.3%	(exp.f64 x)
	73.8%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)))) x (fma.f64 x (.f64 y y) #s(literal 1 binary64))))
	70.5%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 (.f64 x (.f64 x y)) y) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
▶	74.4%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 (.f64 x y) y)) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
	74.4%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) #s(approx (+ (* x (* (* y y) 1/6)) 1/2) (.f64 (.f64 y y) (*.f64 x #s(literal 1/6 binary64)))) x) #s(literal 1 binary64)))
	62.3%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
	73.6%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 (.f64 x y) y) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
	72.9%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* x (* x (* y y))) (+ (* x (* (* y y) 1/6)) 1/2)) x) (.f64 (.f64 y y) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (*.f64 y y))))))) #s(literal 1 binary64)))
	64.8%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 x y) y #s(literal 1 binary64)))
▶	20.5%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 y y) (.f64 y y)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) (/.f64 x (.f64 y y))))))
▶	23.5%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))))
	23.6%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 y (.f64 y (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 y y))) x)))))
	17.3%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* x (* y y)) 1) (.f64 x (.f64 y y))))
✓	53.1%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
	58.9%	#s(approx (exp (* x y)) (fma.f64 y (fma.f64 y (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) #s(literal 1 binary64)))
▶	65.7%	#s(approx (exp (* x y)) (fma.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)))
	64.4%	#s(approx (exp (* x y)) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 y y)) y) #s(literal 1 binary64)))
▶	53.3%	#s(approx (exp (* x y)) (fma.f64 x y #s(literal 1 binary64)))

Compiler

Compiled 624 to 318 computations (49% saved)

simplify572.0ms (2.1%)

Memory

-108.4MiB live, 345.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 y y) (*.f64 y y))
cost-diff	0	#s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 y y) (.f64 y y)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) (/.f64 x (.f64 y y)))))
cost-diff	0	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 y y) (.f64 y y)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) (/.f64 x (.f64 y y))))))
cost-diff	1024	(.f64 (.f64 (.f64 y y) (.f64 y y)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) (/.f64 x (.f64 y y))))
cost-diff	0	(.f64 (.f64 y y) (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 x (.f64 (.f64 y y) (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y)
cost-diff	0	(fma.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* x y)) (fma.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 y y))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))
cost-diff	0	#s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x (.f64 x (.f64 y y)))))
cost-diff	0	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))))
cost-diff	0	(fma.f64 x y #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* x y)) (fma.f64 x y #s(literal 1 binary64)))
cost-diff	0	(fma.f64 (.f64 x (.f64 (.f64 x y) y)) (fma.f64 x (.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 (.f64 x y) y)) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 (.f64 x y) y)) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))

Rules

20 984×	`lower-fma.f32`
20 968×	`lower-fma.f64`
4 690×	`lower-*.f32`
4 664×	`lower-*.f64`
2 516×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	430
0	78	430
1	189	416
2	535	394
3	1603	394
4	2345	391
5	3039	391
6	6282	391
0	8015	376

Stop Event

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

Calls

Call 1

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

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

localize147.0ms (0.5%)

Memory

8.6MiB live, 170.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	5.830366445162376	(/.f64 x (*.f64 y y))
accuracy	17.098161944558495	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 y y) (.f64 y y)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) (/.f64 x (.f64 y y))))))
accuracy	22.927814126287704	(.f64 (.f64 (.f64 y y) (.f64 y y)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) (/.f64 x (.f64 y y))))
accuracy	32.00918799003194	#s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 y y) (.f64 y y)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) (/.f64 x (.f64 y y)))))
accuracy	1.2855047635047094	(.f64 (.f64 y y) (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
accuracy	1.667207908944446	(fma.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64))
accuracy	4.274992725281296	(fma.f64 x (.f64 (.f64 y y) (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y)
accuracy	21.278041140629256	#s(approx (exp (* x y)) (fma.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)))
accuracy	3.8969816216948567	(.f64 x (.f64 x (*.f64 y y)))
accuracy	6.893239429048927	(.f64 x (.f64 y y))
accuracy	17.098161944558495	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))))
accuracy	32.114813283573405	#s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x (.f64 x (.f64 y y)))))
accuracy	0	(fma.f64 x y #s(literal 1 binary64))
accuracy	27.961933389611552	#s(approx (exp (* x y)) (fma.f64 x y #s(literal 1 binary64)))
accuracy	0.2505012207887906	(fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 (.f64 x y) y)) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
accuracy	3.2771622014690434	(fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
accuracy	3.8969816216948567	(.f64 x (.f64 (*.f64 x y) y))
accuracy	16.627311919044207	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 (.f64 x y) y)) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))

Samples

80.0ms

256×

valid

Compiler

Compiled 301 to 44 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 40.0ms (66.2% of total)

ival-add: 11.0ms (18.2% of total)

ival-exp: 4.0ms (6.6% of total)

const: 3.0ms (5% of total)

ival-div: 2.0ms (3.3% of total)

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

exact: 0.0ms (0% of total)

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

series38.0ms (0.1%)

Memory

7.9MiB live, 84.6MiB allocated

Counts

23 → 516

Calls

Call 1

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

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

Calls

129 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(+ (* x (+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)) 1)
2.0ms	y	@	-inf	(+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)
1.0ms	x	@	0	(* (* 1/2 (* y y)) (* x (* x (* y y))))
1.0ms	x	@	-inf	(+ (* x (+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)) 1)
1.0ms	y	@	0	(* (* 1/2 (* y y)) (* x (* x (* y y))))

simplify368.0ms (1.3%)

Memory

-7.1MiB live, 526.7MiB allocated

Algorithm

1×	egg-herbie

Rules

22 666×	`lower-fma.f64`
22 666×	`lower-fma.f32`
6 154×	`lower-*.f64`
6 154×	`lower-*.f32`
3 850×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	314	4936
1	1055	4895
2	3636	4738
0	8243	4432

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 512

Calls

Call 1

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

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

rewrite569.0ms (2.1%)

Memory

-15.1MiB live, 466.7MiB allocated

Rules

7 354×	`lower-fma.f32`
7 338×	`lower-fma.f64`
4 770×	`lower-*.f32`
4 744×	`lower-*.f64`
3 386×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	367
0	78	359
1	310	318
2	2347	318
0	8371	307

Stop Event

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

Counts

23 → 540

Calls

Call 1

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

Outputs
#s(approx (exp (* (* x y) y)) (fma.f64 y (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 y y))) x))))
(+.f64 (.f64 y (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 y y))) x))) #s(literal 1 binary64))
(+.f64 (.f64 (.f64 y y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))))) (fma.f64 x (*.f64 y y) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y)))))) (.f64 x (.f64 y y)))
(-.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)) (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)))) (fma.f64 y (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 y y))) x)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x))))) (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)) (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)))) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 y y))) x))))))
(fma.f64 x (.f64 (.f64 (.f64 y y) (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)))) (.f64 y y)) (fma.f64 x (.f64 y y) #s(literal 1 binary64)))
(fma.f64 y (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)) #s(literal 1 binary64))
(fma.f64 y (.f64 y (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))))) (fma.f64 x (.f64 y y) #s(literal 1 binary64)))
(fma.f64 y (.f64 (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 y y))) x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 y y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x) #s(literal 1 binary64))
(fma.f64 (.f64 y y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y)))) (fma.f64 x (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (.f64 y y) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 y y))) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y y))) (fma.f64 x (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x) (.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x) (.f64 (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 y y))) x))) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 y y)) (.f64 (.f64 y y) (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)))) (fma.f64 x (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y)))) (.f64 y y) (fma.f64 x (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (.f64 y (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 y y))) x))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 y y)) (fma.f64 x (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)) y #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y y))) (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 x (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y)))) y) y (fma.f64 x (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 y y) (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64))) (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 y y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)) (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x))) #s(literal 1 binary64)) (.f64 y (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)) #s(literal -1 binary64)) (fma.f64 (.f64 y y) (.f64 (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)) (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x))) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x))) #s(literal 3 binary64))) (-.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)) (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x))) #s(literal 1 binary64)) (.f64 y (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)) (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)))) (.f64 y (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 y y))) x))))))
(/.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)) (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x))) #s(literal -1 binary64)) (fma.f64 y (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)) (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x))) #s(literal 1 binary64)) (.f64 y (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x))) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)) #s(literal -1 binary64)) (fma.f64 (.f64 y y) (.f64 (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)) (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x))) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x))) #s(literal 3 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)) (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x))) #s(literal 1 binary64)) (.f64 y (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)) (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)))) (.f64 y (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 y y))) x)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)) (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x))) #s(literal -1 binary64))) (neg.f64 (fma.f64 y (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)) (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x))))) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)) (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)))) (fma.f64 y (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)) #s(literal -1 binary64))) (.f64 (fma.f64 y (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 y (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)) #s(literal -1 binary64)) (fma.f64 y (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)) (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x))))))
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(/.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1/216 binary64))) (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y y))) x) (.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y y))) x) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y y))) x)))) (fma.f64 (.f64 (.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64))) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64))) (.f64 x (.f64 x (.f64 y y)))) (-.f64 (.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y y))) x) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y y))) x)) (.f64 (.f64 (.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64))) (.f64 x (.f64 x (.f64 y y)))) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 y y))) x)))))
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(pow.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))))) (.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))))))) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y)))))) (.f64 x (.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x (.f64 y y)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x) (fma.f64 (.f64 x (.f64 y y)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 x)))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y)))))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))))) (.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 y y)))))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x) (fma.f64 (.f64 x (.f64 y y)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 y y)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 x))))
#s(approx (exp (* x y)) (fma.f64 x y #s(literal 1 binary64)))
(+.f64 (*.f64 x y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x y))
(-.f64 (/.f64 (.f64 x (.f64 x (*.f64 y y))) (fma.f64 x y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x y))) (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 x y))))
(fma.f64 x y #s(literal 1 binary64))
(fma.f64 x (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (log.f64 (exp.f64 y)) #s(literal 1 binary64))
(fma.f64 y x #s(literal 1 binary64))
(fma.f64 y (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (.f64 x (.f64 y y)) #s(literal 1 binary64)) (.f64 x y)) (fma.f64 (.f64 x y) (.f64 x (.f64 x (*.f64 y y))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 (.f64 y y) (.f64 x x) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))) #s(literal 1 binary64)) (-.f64 (fma.f64 x (.f64 x (.f64 y y)) #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x y))))
(/.f64 (fma.f64 (.f64 y y) (.f64 x x) #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 x (.f64 x (.f64 y y)) #s(literal 1 binary64)) (.f64 x y)) (fma.f64 (.f64 x y) (.f64 x (.f64 x (*.f64 y y))) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 (.f64 y y) (.f64 x x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 x (.f64 x (.f64 y y)) #s(literal 1 binary64)) (*.f64 x y))))
(/.f64 (neg.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x y)))))
(/.f64 (neg.f64 (fma.f64 (.f64 y y) (.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x y #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 y y)))) (-.f64 #s(literal 1 binary64) (.f64 x y)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x y #s(literal -1 binary64))) (.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 y y))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x (.f64 x (.f64 y y)) #s(literal 1 binary64)) (*.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y y) (.f64 x x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x y #s(literal -1 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 x (.f64 x (.f64 y y)) #s(literal 1 binary64)) (.f64 x y)) (fma.f64 (.f64 x y) (.f64 x (.f64 x (*.f64 y y))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 (.f64 y y) (.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x (.f64 y y)) #s(literal 1 binary64)) (.f64 x y))))
(.f64 (fma.f64 (.f64 y y) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 y y) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y y)))))))
#s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 y y) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y y))))))
(.f64 x (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y y))) (.f64 y y)))
(.f64 x (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (.f64 y (.f64 y y)))))
(.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 (.f64 y y) #s(literal 1/2 binary64))))
(.f64 y (.f64 y (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y y))))))
(.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 1/2 binary64) (.f64 x x))))
(.f64 (.f64 y y) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y y)))))
(.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 #s(literal 1/2 binary64) (.f64 x x))))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y y))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y y))) (.f64 x (.f64 y y)))
(.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y y)))) (.f64 y y))
(.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))))
(.f64 (.f64 x (.f64 y y)) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y y))))
(.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 y (.f64 y (.f64 y y)))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 y (.f64 y (.f64 y y))))
(.f64 (.f64 x x) (.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y (.f64 y y)))))
(.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/2 binary64))))
(.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x x))))
(.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 y y) #s(literal 1/2 binary64)))
(.f64 (.f64 x (.f64 x y)) (.f64 y (.f64 (.f64 y y) #s(literal 1/2 binary64))))
(.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y (.f64 x (.f64 x (.f64 y y)))))
(.f64 (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y y))) #s(literal 1/2 binary64))
(.f64 (.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y y)))) y) y)
(.f64 (.f64 (.f64 y y) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y y)))) x)
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) y) (.f64 y (.f64 y y)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 y (.f64 y y))) y)
(.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) x) (.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x #s(literal 1/2 binary64))) x)
(.f64 (.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 y #s(literal 1/2 binary64))) y)
(.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (.f64 x (.f64 y y))) x)
(.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 y y))
(.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (.f64 x (.f64 x y))) y)
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y y))) y) (.f64 x y))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y y))) (.f64 y y)) x)
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y y))) (.f64 x y)) y)
(.f64 y (.f64 y #s(literal 1/2 binary64)))
(.f64 (.f64 y y) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 y y))
(.f64 (.f64 y #s(literal 1/2 binary64)) y)
#s(approx (exp (* x y)) (fma.f64 x (fma.f64 y (.f64 (.f64 y (fma.f64 (*.f64 x y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) y) #s(literal 1 binary64)))
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(.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) x) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (/.f64 (neg.f64 x) y) (/.f64 (.f64 y (.f64 y (.f64 y y))) (neg.f64 y)))
(.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (.f64 y (.f64 y (.f64 y y))) (*.f64 y y)))
(.f64 (/.f64 y y) (/.f64 (.f64 y (*.f64 y y)) (/.f64 y x)))
(.f64 (/.f64 y (.f64 y y)) (/.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (.f64 y y) y) (/.f64 (*.f64 y y) (/.f64 y x)))
(.f64 (/.f64 (.f64 y y) (.f64 y y)) (/.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (.f64 y (*.f64 y y)) y) (/.f64 y (/.f64 y x)))
(.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 y y)) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) y) (/.f64 x y))
(.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (*.f64 y y)))
(.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (neg.f64 y)) (/.f64 (neg.f64 x) y))
(exp.f64 (.f64 (log.f64 (.f64 x y)) #s(literal 2 binary64)))
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(.f64 x (.f64 x (*.f64 y y)))
(.f64 y (.f64 x (*.f64 x y)))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 (.f64 y y) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 y y))))
(.f64 (.f64 x (*.f64 y y)) x)
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 x x) (pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 1 binary64))
(.f64 (.f64 x (*.f64 x y)) y)
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 y y) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 y y))) (/.f64 x (neg.f64 (.f64 y y))))
(neg.f64 (/.f64 x (neg.f64 (*.f64 y y))))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y y)))
(/.f64 x (*.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y y) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 y y) x))))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 y y)))
(/.f64 (/.f64 x y) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 y y) x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (/.f64 x y))))
(/.f64 (.f64 x #s(literal 1 binary64)) (.f64 y y))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (*.f64 y y))))
(/.f64 (neg.f64 (/.f64 x y)) (neg.f64 y))
(/.f64 (neg.f64 (.f64 x #s(literal 1 binary64))) (neg.f64 (.f64 y y)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 x y))) (neg.f64 (neg.f64 y)))
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 #s(literal 1 binary64) (/.f64 x (.f64 y y)))
(.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 y y))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (neg.f64 y)))

eval142.0ms (0.5%)

Memory: 34.4MiB live, 293.6MiB allocated
Compiler: Compiled 30 417 to 1 831 computations (94% saved)

prune373.0ms (1.4%)

Memory

12.6MiB live, 324.5MiB allocated

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	1 182	10	1 192
Fresh	8	5	13
Picked	4	1	5
Done	0	3	3
Total	1 194	19	1 213

Accuracy

100.0%

Counts

1 213 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	88.6%	(exp.f64 (*.f64 x y))
	68.4%	(exp.f64 y)
	64.3%	(exp.f64 x)
▶	74.4%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 (.f64 x y) y)) (fma.f64 y (.f64 (.f64 x y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
	74.4%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 (.f64 x y) y)) #s(approx (+ (* x (* (* y y) 1/6)) 1/2) (.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))) x) #s(literal 1 binary64)))
	73.6%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 (.f64 x y) y)) #s(approx (+ (* x (* (* y y) 1/6)) 1/2) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
▶	72.9%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* x (* x (* y y))) (+ (* x (* (* y y) 1/6)) 1/2)) x) (.f64 (.f64 y y) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (*.f64 y y))))))) #s(literal 1 binary64)))
	64.8%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 x y) y #s(literal 1 binary64)))
▶	25.0%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x #s(literal 1/2 binary64))) x)))
	24.0%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 x (.f64 x y)) (.f64 y (.f64 (.f64 y y) #s(literal 1/2 binary64))))))
	12.6%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x (.f64 (.f64 (/.f64 x (.f64 y y)) (.f64 y y)) (*.f64 y y))))))
	17.3%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) #s(approx (* (* (* y y) (* y y)) (+ (* x (* x 1/2)) (/ x (* y y)))) (.f64 x (.f64 y y)))))
✓	53.1%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
	58.9%	#s(approx (exp (* x y)) (fma.f64 y (fma.f64 y (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) #s(literal 1 binary64)))
▶	64.4%	#s(approx (exp (* x y)) (fma.f64 x (fma.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))
✓	53.3%	#s(approx (exp (* x y)) (fma.f64 x y #s(literal 1 binary64)))
	24.3%	#s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)) 1) (.f64 y (.f64 y (.f64 y (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))))))))
▶	11.5%	#s(approx (exp (* x y)) #s(approx (+ (* x y) 1) (*.f64 x y)))

Compiler

Compiled 505 to 260 computations (48.5% saved)

simplify228.0ms (0.8%)

Memory

-38.5MiB live, 177.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

5 370×	`lower-fma.f32`
5 358×	`lower-fma.f64`
2 922×	`lower-*.f32`
2 892×	`lower-*.f64`
2 846×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	469
0	86	451
1	203	441
2	499	409
3	1387	409
4	1859	409
5	2298	409
6	3340	409
7	4713	409
8	5425	409
9	5425	409
10	5552	409
11	5650	409
12	5664	409
13	5664	409
14	5664	409
15	6204	409
16	6474	409
17	6474	409
0	8041	399

Stop Event

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

Calls

Call 1

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

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

localize200.0ms (0.7%)

Memory

8.6MiB live, 238.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	6.657219074336417	(.f64 (.f64 y y) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (*.f64 y y))))))
accuracy	6.893239429048927	(.f64 x (.f64 y y))
accuracy	16.627311919044207	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* x (* x (* y y))) (+ (* x (* (* y y) 1/6)) 1/2)) x) (.f64 (.f64 y y) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (*.f64 y y))))))) #s(literal 1 binary64)))
accuracy	31.71538650208509	#s(approx (+ (* (* x (* x (* y y))) (+ (* x (* (* y y) 1/6)) 1/2)) x) (.f64 (.f64 y y) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (*.f64 y y)))))))
accuracy	2.6170619659271295	(.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x #s(literal 1/2 binary64))) x)
accuracy	2.659620404205591	(.f64 (.f64 y (.f64 y (.f64 y y))) (*.f64 x #s(literal 1/2 binary64)))
accuracy	17.098161944558495	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x #s(literal 1/2 binary64))) x)))
accuracy	32.114813283573405	#s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x #s(literal 1/2 binary64))) x))
accuracy	0.00390625	(.f64 (.f64 y y) #s(literal 1/2 binary64))
accuracy	2.155219954319895	(fma.f64 x (fma.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)) y) #s(literal 1 binary64))
accuracy	6.087762814531488	(fma.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)) y)
accuracy	22.943970513139135	#s(approx (exp (* x y)) (fma.f64 x (fma.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))
accuracy	0	(*.f64 x y)
accuracy	27.961933389611552	#s(approx (exp (* x y)) #s(approx (+ (* x y) 1) (*.f64 x y)))
accuracy	29.730421107658042	#s(approx (+ (* x y) 1) (*.f64 x y))
accuracy	0.2505012207887906	(fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 (.f64 x y) y)) (fma.f64 y (.f64 (.f64 x y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
accuracy	0.2734375	(.f64 (.f64 x y) #s(literal 1/6 binary64))
accuracy	3.8969816216948567	(.f64 x (.f64 (*.f64 x y) y))
accuracy	16.627311919044207	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 (.f64 x y) y)) (fma.f64 y (.f64 (.f64 x y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))

Samples

105.0ms

256×

valid

Compiler

Compiled 313 to 48 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 42.0ms (51.4% of total)

ival-add: 32.0ms (39.2% of total)

ival-exp: 4.0ms (4.9% of total)

const: 3.0ms (3.7% of total)

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

exact: 0.0ms (0% of total)

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

series35.0ms (0.1%)

Memory

-15.8MiB live, 67.9MiB allocated

Counts

22 → 504

Calls

Call 1

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

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

Calls

126 calls:

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

simplify301.0ms (1.1%)

Memory

0.6MiB live, 331.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 604×	`lower-fma.f64`
13 604×	`lower-fma.f32`
4 806×	`lower-*.f64`
4 806×	`lower-*.f32`
2 184×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	218	4564
1	723	4554
2	2270	4454
3	5459	4414
0	8532	4126

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 498

Calls

Call 1

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

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

rewrite590.0ms (2.1%)

Memory

3.6MiB live, 525.7MiB allocated

Rules

8 274×	`lower-fma.f32`
8 262×	`lower-fma.f64`
4 170×	`lower-*.f32`
4 140×	`lower-*.f64`
3 562×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	384
0	86	370
1	326	336
2	1928	328
0	8244	322

Stop Event

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

Counts

22 → 391

Calls

Call 1

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

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

eval135.0ms (0.5%)

Memory: 18.8MiB live, 312.7MiB allocated
Compiler: Compiled 28 741 to 1 294 computations (95.5% saved)

prune307.0ms (1.1%)

Memory

-16.0MiB live, 519.5MiB allocated

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	1 040	6	1 046
Fresh	1	9	10
Picked	2	3	5
Done	0	4	4
Total	1 043	22	1 065

Accuracy

100.0%

Counts

1 065 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	88.6%	(exp.f64 (*.f64 x y))
	68.4%	(exp.f64 y)
	64.3%	(exp.f64 x)
✓	74.4%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 (.f64 x y) y)) (fma.f64 y (.f64 (.f64 x y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
	74.4%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 (.f64 x y) y)) #s(approx (+ (* x (* (* y y) 1/6)) 1/2) (.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))) x) #s(literal 1 binary64)))
	73.6%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 (.f64 x y) y)) #s(approx (+ (* x (* (* y y) 1/6)) 1/2) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
	69.0%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* x (* x (* y y))) (+ (* x (* (* y y) 1/6)) 1/2)) x) (.f64 (.f64 y y) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (*.f64 x y) y)))))) #s(literal 1 binary64)))
	64.8%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 x y) y #s(literal 1 binary64)))
	74.4%	#s(approx (exp (* (* x y) y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (fma.f64 (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 y y))) x) #s(literal 1 binary64)))))
	24.3%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 y (.f64 y y))) x)))
✓	25.0%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x #s(literal 1/2 binary64))) x)))
	12.6%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x (.f64 (.f64 (/.f64 x (.f64 y y)) (.f64 y y)) (*.f64 y y))))))
	17.3%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) #s(approx (* (* (* y y) (* y y)) (+ (* x (* x 1/2)) (/ x (* y y)))) (.f64 x (.f64 y y)))))
✓	53.1%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
	58.8%	#s(approx (exp (* x y)) (fma.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (*.f64 x x) (fma.f64 x y #s(literal 1 binary64))))
	58.9%	#s(approx (exp (* x y)) (fma.f64 y (fma.f64 y (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) #s(literal 1 binary64)))
	61.8%	#s(approx (exp (* x y)) (fma.f64 x (fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x y) y) #s(literal 1 binary64)))
✓	53.3%	#s(approx (exp (* x y)) (fma.f64 x y #s(literal 1 binary64)))
	24.3%	#s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)) 1) (.f64 y (.f64 y (.f64 y (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))))))))
	22.5%	#s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) 1/2)) y)) 1) (.f64 x (.f64 x (.f64 y (.f64 y #s(literal 1/2 binary64)))))))
✓	11.5%	#s(approx (exp (* x y)) #s(approx (+ (* x y) 1) (*.f64 x y)))

Compiler

Compiled 907 to 286 computations (68.5% saved)

regimes82.0ms (0.3%)

Memory

-6.2MiB live, 77.5MiB allocated

Counts

40 → 1

Calls

Call 1

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

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

Calls

4 calls:

32.0ms	x
27.0ms	(exp.f64 (.f64 (.f64 x y) y))
11.0ms	y
10.0ms	(.f64 (.f64 x y) y)

Results

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes64.0ms (0.2%)

Memory

2.2MiB live, 41.6MiB allocated

Counts

39 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

34.0ms	x
11.0ms	y
9.0ms	(.f64 (.f64 x y) y)
8.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
93.6%	2	`x`
95.7%	2	`y`
96.7%	2	`(exp.f64 (.f64 (.f64 x y) y))`
96.7%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes60.0ms (0.2%)

Memory

14.5MiB live, 52.7MiB allocated

Counts

38 → 2

Calls

Call 1

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

Outputs

(exp.f64 x)

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

Calls

4 calls:

30.0ms	x
10.0ms	y
9.0ms	(.f64 (.f64 x y) y)
8.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
80.2%	2	`x`
82.2%	2	`y`
87.2%	2	`(exp.f64 (.f64 (.f64 x y) y))`
87.2%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes141.0ms (0.5%)

Memory

-14.8MiB live, 62.5MiB allocated

Counts

36 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

61.0ms	(.f64 (.f64 x y) y)
61.0ms	x
10.0ms	y
8.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
74.4%	1	`x`
74.4%	1	`y`
78.2%	2	`(.f64 (.f64 x y) y)`
78.2%	2	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes16.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

30 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

8.0ms	(.f64 (.f64 x y) y)
7.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes62.0ms (0.2%)

Memory

-9.2MiB live, 27.5MiB allocated

Counts

28 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

54.0ms	(exp.f64 (.f64 (.f64 x y) y))
7.0ms	(.f64 (.f64 x y) y)

Results

Accuracy	Segments	Branch
77.9%	2	`(exp.f64 (.f64 (.f64 x y) y))`
77.9%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes13.0ms (0%)

Memory

19.6MiB live, 19.6MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
77.4%	2	`(exp.f64 (.f64 (.f64 x y) y))`
77.5%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes60.0ms (0.2%)

Memory

-17.5MiB live, 18.9MiB allocated

Counts

18 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

54.0ms	(exp.f64 (.f64 (.f64 x y) y))
5.0ms	(.f64 (.f64 x y) y)

Results

Accuracy	Segments	Branch
78.6%	3	`(exp.f64 (.f64 (.f64 x y) y))`
78.6%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes9.0ms (0%)

Memory

21.7MiB live, 21.7MiB allocated

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

4.0ms	(.f64 (.f64 x y) y)
4.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
78.2%	3	`(exp.f64 (.f64 (.f64 x y) y))`
78.2%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes20.0ms (0.1%)

Memory

6.0MiB live, 44.2MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
67.4%	1	`x`
71.3%	2	`y`
77.4%	3	`(exp.f64 (.f64 (.f64 x y) y))`
77.4%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes13.0ms (0%)

Memory

-43.3MiB live, 15.9MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

8.0ms	(.f64 (.f64 x y) y)
3.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
76.3%	3	`(exp.f64 (.f64 (.f64 x y) y))`
76.3%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes8.0ms (0%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
72.5%	2	`(exp.f64 (.f64 (.f64 x y) y))`
72.5%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes6.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
72.5%	2	`(exp.f64 (.f64 (.f64 x y) y))`
72.5%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes8.0ms (0%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
67.4%	1	`y`
67.4%	1	`(exp.f64 (.f64 (.f64 x y) y))`
67.4%	1	`(.f64 (.f64 x y) y)`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes46.0ms (0.2%)

Memory

-10.5MiB live, 27.7MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
67.4%	2	`(.f64 (.f64 x y) y)`
57.3%	2	`x`
67.4%	2	`(exp.f64 (.f64 (.f64 x y) y))`
66.2%	2	`y`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes5.0ms (0%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
61.1%	2	`y`
61.4%	2	`(exp.f64 (.f64 (.f64 x y) y))`
61.4%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes41.0ms (0.1%)

Memory

-29.4MiB live, 8.9MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

40.0ms	(.f64 (.f64 x y) y)
1.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
61.3%	2	`(exp.f64 (.f64 (.f64 x y) y))`
61.4%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes5.0ms (0%)

Memory

15.3MiB live, 15.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-133715436.4912064	-3.0171049962489126e-10

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999999996982895

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.675172227694411e+36	-133715436.4912064

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.675172227694411e+36	-133715436.4912064

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.675172227694411e+36	-133715436.4912064

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.675172227694411e+36	-133715436.4912064

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.6277662633146015e-8	2135351847713365800.0
0.0ms	-1.0127361019911807e+122	-6.139946671030337e+118

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.6277662633146015e-8	2135351847713365800.0
0.0ms	-1.0127361019911807e+122	-6.139946671030337e+118

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.6277662633146015e-8	2135351847713365800.0
0.0ms	-1.0127361019911807e+122	-6.139946671030337e+118

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2135351847713365800.0	2.3332331710050827e+32
0.0ms	-1.0127361019911807e+122	-6.139946671030337e+118

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	4.6277662633146015e-8	2135351847713365800.0

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2135351847713365800.0	2.3332331710050827e+32

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	1.0000000462776637	+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	4.6277662633146015e-8	2135351847713365800.0

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	2135351847713365800.0	2.3332331710050827e+32

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify15.0ms (0.1%)

Memory

7.9MiB live, 44.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	973
1	169	973

Stop Event

1×

saturated

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 x y) y))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -100000000 binary64)) (exp.f64 (.f64 x y)) #s(approx (exp ( (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 0 binary64)) (exp.f64 x) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -1000000000000000042420637374017961984 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)) 1) (.f64 y (.f64 y (.f64 y (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))))))) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -1000000000000000042420637374017961984 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)) 1) (.f64 y (.f64 y (.f64 y (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))))))) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) #s(approx (+ (* x (* (* y y) 1/6)) 1/2) (.f64 (.f64 y y) (*.f64 x #s(literal 1/6 binary64)))) x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -1000000000000000042420637374017961984 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)) 1) (.f64 y (.f64 y (.f64 y (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))))))) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)))) x (fma.f64 x (.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -1000000000000000042420637374017961984 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)) 1) (.f64 y (.f64 y (.f64 y (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))))))) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -100000000000000001440594758724527385583111862242831263013712314935498927069126131626863257625726456080505437183296233537536 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)) 1) (.f64 y (.f64 y (.f64 y (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))))))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 x (.f64 y y) #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x #s(literal 1/2 binary64))) x)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -100000000000000001440594758724527385583111862242831263013712314935498927069126131626863257625726456080505437183296233537536 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)) 1) (.f64 y (.f64 y (.f64 y (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))))))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 x (.f64 y y) #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 x (.f64 x y)) (.f64 y (.f64 (.f64 y y) #s(literal 1/2 binary64))))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -100000000000000001440594758724527385583111862242831263013712314935498927069126131626863257625726456080505437183296233537536 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)) 1) (.f64 y (.f64 y (.f64 y (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))))))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 x (.f64 y y) #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -100000000000000001440594758724527385583111862242831263013712314935498927069126131626863257625726456080505437183296233537536 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)) 1) (.f64 y (.f64 y (.f64 y (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))))))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4000000000000000000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 x (.f64 y y) #s(literal 1 binary64))) #s(approx (exp ( x y)) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 y y)) y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 y y)) y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4000000000000000000 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) 1/2)) y)) 1) (.f64 x (.f64 x (.f64 y (.f64 y #s(literal 1/2 binary64))))))))
#s(approx (exp (* (* x y) y)) (fma.f64 x (*.f64 y y) #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* x (* y y)) 1) (.f64 x (.f64 y y)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) (fma.f64 x y #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4000000000000000000 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x y) 1) (*.f64 x y))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Outputs
(exp.f64 (.f64 (.f64 x y) y))
(exp.f64 (.f64 y (.f64 x y)))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -100000000 binary64)) (exp.f64 (.f64 x y)) #s(approx (exp ( (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal -100000000 binary64)) (exp.f64 (.f64 x y)) #s(approx (exp ( (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 0 binary64)) (exp.f64 x) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (.f64 y (.f64 x y))) #s(literal 0 binary64)) (exp.f64 x) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -1000000000000000042420637374017961984 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)) 1) (.f64 y (.f64 y (.f64 y (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))))))) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal -1000000000000000042420637374017961984 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)) 1) (.f64 y (.f64 y (.f64 y (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))))))) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -1000000000000000042420637374017961984 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)) 1) (.f64 y (.f64 y (.f64 y (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))))))) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) #s(approx (+ (* x (* (* y y) 1/6)) 1/2) (.f64 (.f64 y y) (*.f64 x #s(literal 1/6 binary64)))) x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal -1000000000000000042420637374017961984 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)) 1) (.f64 y (.f64 y (.f64 y (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))))))) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) #s(approx (+ (* x (* (* y y) 1/6)) 1/2) (.f64 (.f64 y y) (*.f64 x #s(literal 1/6 binary64)))) x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -1000000000000000042420637374017961984 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)) 1) (.f64 y (.f64 y (.f64 y (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))))))) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)))) x (fma.f64 x (.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal -1000000000000000042420637374017961984 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)) 1) (.f64 y (.f64 y (.f64 y (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))))))) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)))) x (fma.f64 x (.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -1000000000000000042420637374017961984 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)) 1) (.f64 y (.f64 y (.f64 y (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))))))) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal -1000000000000000042420637374017961984 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)) 1) (.f64 y (.f64 y (.f64 y (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))))))) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -100000000000000001440594758724527385583111862242831263013712314935498927069126131626863257625726456080505437183296233537536 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)) 1) (.f64 y (.f64 y (.f64 y (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))))))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 x (.f64 y y) #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x #s(literal 1/2 binary64))) x)))))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal -100000000000000001440594758724527385583111862242831263013712314935498927069126131626863257625726456080505437183296233537536 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)) 1) (.f64 y (.f64 y (.f64 y (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))))))) (if (<=.f64 (.f64 y (.f64 x y)) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 x (.f64 y y) #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 x (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x #s(literal 1/2 binary64))))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -100000000000000001440594758724527385583111862242831263013712314935498927069126131626863257625726456080505437183296233537536 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)) 1) (.f64 y (.f64 y (.f64 y (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))))))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 x (.f64 y y) #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 x (.f64 x y)) (.f64 y (.f64 (.f64 y y) #s(literal 1/2 binary64))))))))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal -100000000000000001440594758724527385583111862242831263013712314935498927069126131626863257625726456080505437183296233537536 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)) 1) (.f64 y (.f64 y (.f64 y (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))))))) (if (<=.f64 (.f64 y (.f64 x y)) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 x (.f64 y y) #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 x (.f64 x y)) (.f64 y (.f64 (.f64 y y) #s(literal 1/2 binary64))))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -100000000000000001440594758724527385583111862242831263013712314935498927069126131626863257625726456080505437183296233537536 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)) 1) (.f64 y (.f64 y (.f64 y (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))))))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 x (.f64 y y) #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))))))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal -100000000000000001440594758724527385583111862242831263013712314935498927069126131626863257625726456080505437183296233537536 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)) 1) (.f64 y (.f64 y (.f64 y (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))))))) (if (<=.f64 (.f64 y (.f64 x y)) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 x (.f64 y y) #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 y y) #s(literal 1/2 binary64)))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -100000000000000001440594758724527385583111862242831263013712314935498927069126131626863257625726456080505437183296233537536 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)) 1) (.f64 y (.f64 y (.f64 y (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))))))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4000000000000000000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 x (.f64 y y) #s(literal 1 binary64))) #s(approx (exp ( x y)) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 y y)) y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal -100000000000000001440594758724527385583111862242831263013712314935498927069126131626863257625726456080505437183296233537536 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)) 1) (.f64 y (.f64 y (.f64 y (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))))))) (if (<=.f64 (.f64 y (.f64 x y)) #s(literal 4000000000000000000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 x (.f64 y y) #s(literal 1 binary64))) #s(approx (exp ( x y)) (fma.f64 x (fma.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 y y)) y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) (fma.f64 x (fma.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)) y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4000000000000000000 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) 1/2)) y)) 1) (.f64 x (.f64 x (.f64 y (.f64 y #s(literal 1/2 binary64))))))))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal 4000000000000000000 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) 1/2)) y)) 1) (.f64 x (.f64 x (.f64 y (.f64 y #s(literal 1/2 binary64))))))))
#s(approx (exp (* (* x y) y)) (fma.f64 x (*.f64 y y) #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* x (* y y)) 1) (.f64 x (.f64 y y)))))
(if (<=.f64 (exp.f64 (.f64 y (.f64 x y))) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* x (* y y)) 1) (.f64 x (.f64 y y)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) (fma.f64 x y #s(literal 1 binary64))))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) (fma.f64 x y #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4000000000000000000 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x y) 1) (*.f64 x y))))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal 4000000000000000000 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x y) 1) (*.f64 x y))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

soundness20.6s (74.5%)

Memory

-21.6MiB live, 1 288.2MiB allocated

Rules

22 666×	`lower-fma.f64`
22 666×	`lower-fma.f32`
13 604×	`lower-fma.f64`
13 604×	`lower-fma.f32`
13 146×	`lower-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	380
1	120	380
2	329	380
3	810	380
4	1104	380
5	1231	380
6	1311	380
7	1334	380
8	1348	380
9	2635	380
10	3226	380
11	4017	380
12	4965	380
13	4986	380
14	4986	380
15	5212	380
16	5212	380
17	5212	380
18	5212	380
19	6612	380
20	6612	380
0	6612	368
0	218	4564
1	723	4554
2	2270	4454
3	5459	4414
0	8532	4126
0	25	172
0	43	172
1	166	172
2	1257	161
0	8121	158
0	194	2996
1	639	2996
2	2014	2932
3	5690	2924
0	8385	2714
0	46	367
0	78	359
1	310	318
2	2347	318
0	8371	307
0	314	4936
1	1055	4895
2	3636	4738
0	8243	4432
0	5	14
0	8	16
1	14	16
2	29	16
3	92	16
4	482	3
5	3914	3
0	9072	3

Stop Event

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

Compiler

Compiled 919 to 321 computations (65.1% saved)

preprocess88.0ms (0.3%)

Memory: 17.2MiB live, 169.1MiB allocated
Remove: (abs y)
Compiler: Compiled 1 168 to 198 computations (83% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	38
1	49	34
2	124	34
3	300	34
4	502	34
5	648	34
6	718	34
7	729	34
0	5	6
0	8	6
1	14	6
2	21	6
3	23	6
4	24	6
0	24	6

Iter	Nodes	Cost
0	15	38
1	49	34
2	124	34
3	300	34
4	502	34
5	648	34
6	718	34
7	729	34
0	5	6
0	8	6
1	14	6
2	21	6
3	23	6
4	24	6
0	24	6

start0.0ms (0%)

analyze0.0ms (0%)

sample596.0ms (2.2%)

explain79.0ms (0.3%)

preprocess25.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize66.0ms (0.2%)

series6.0ms (0%)

simplify213.0ms (0.8%)

rewrite47.0ms (0.2%)

eval7.0ms (0%)

prune8.0ms (0%)

simplify274.0ms (1%)

localize134.0ms (0.5%)

series40.0ms (0.1%)

simplify221.0ms (0.8%)

rewrite296.0ms (1.1%)

eval125.0ms (0.5%)

prune115.0ms (0.4%)

simplify572.0ms (2.1%)

localize147.0ms (0.5%)

series38.0ms (0.1%)

simplify368.0ms (1.3%)

rewrite569.0ms (2.1%)

eval142.0ms (0.5%)

prune373.0ms (1.4%)

simplify228.0ms (0.8%)

localize200.0ms (0.7%)

series35.0ms (0.1%)

simplify301.0ms (1.1%)

rewrite590.0ms (2.1%)

eval135.0ms (0.5%)

prune307.0ms (1.1%)

regimes82.0ms (0.3%)

regimes64.0ms (0.2%)

regimes60.0ms (0.2%)

regimes141.0ms (0.5%)

regimes16.0ms (0.1%)

regimes62.0ms (0.2%)

regimes13.0ms (0%)

regimes60.0ms (0.2%)

regimes9.0ms (0%)

regimes20.0ms (0.1%)

regimes13.0ms (0%)

regimes8.0ms (0%)

regimes6.0ms (0%)

regimes8.0ms (0%)

regimes46.0ms (0.2%)

regimes5.0ms (0%)

regimes41.0ms (0.1%)

regimes5.0ms (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%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify15.0ms (0.1%)

soundness20.6s (74.5%)

preprocess88.0ms (0.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	38
1	49	34
2	124	34
3	300	34
4	502	34
5	648	34
6	718	34
7	729	34
0	5	6
0	8	6
1	14	6
2	21	6
3	23	6
4	24	6
0	24	6