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

0.6MiB live, 0.6MiB 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)

sample597.0ms (2.3%)

Memory

18.7MiB live, 1 121.8MiB allocated

Samples

359.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 195.0ms

ival-mult: 124.0ms (63.5% of total)

ival-exp: 63.0ms (32.2% of total)

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

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

Bogosity

explain74.0ms (0.3%)

Memory

17.3MiB live, 93.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(exp.f64 (.f64 (.f64 x y) y))`
0	-	-	`y`
0	-	-	`(.f64 (.f64 x y) y)`
0	-	-	`(*.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f64`	`(exp.f64 (.f64 (.f64 x y) y))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms

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 (63.1% of total)

ival-exp: 4.0ms (36.1% of total)

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

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

preprocess27.0ms (0.1%)

Memory

-10.7MiB live, 27.4MiB 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 (.f64 y x) 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

1.5MiB live, 1.5MiB 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

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

localize22.0ms (0.1%)

Memory

-20.8MiB live, 26.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.026788988262217078	(exp.f64 (.f64 (.f64 x y) y))
accuracy	0.1484375	(.f64 (.f64 x y) y)

Samples

18.0ms

256×

valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

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

ival-exp: 7.0ms (65.8% of total)

ival-mult: 3.0ms (28.2% of total)

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

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

series7.0ms (0%)

Memory

14.5MiB live, 14.5MiB 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 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 (* 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 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 (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 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 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 (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 -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 -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 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 (* 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 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 (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 (* 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 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 (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 (* 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 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>) () ())) ())

Calls

6 calls:

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

simplify144.0ms (0.5%)

Memory

7.0MiB live, 80.9MiB allocated

Algorithm

1×	egg-herbie

Rules

4 254×	`lower-fma.f64`
4 254×	`lower-fma.f32`
3 440×	`associate-r`
2 634×	`lower-*.f64`
2 634×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	392
1	120	392
2	329	388
3	808	384
4	1112	380
5	1239	380
6	1319	380
7	1342	380
8	1356	380
9	2822	380
10	3417	380
11	4208	380
12	5204	380
13	5225	380
14	5225	380
15	5465	380
16	5465	380
17	5465	380
18	5465	380
19	6947	380
20	6947	380
0	6947	368

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

Calls

Call 1

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

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

rewrite49.0ms (0.2%)

Memory

-0.8MiB live, 83.0MiB 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)
y
x
#s(literal 0 binary64)
y
x
#s(literal 0 binary64)

eval10.0ms (0%)

Memory: -16.7MiB live, 21.4MiB allocated
Compiler: Compiled 565 to 30 computations (94.7% saved)

prune8.0ms (0%)

Memory

22.4MiB live, 22.4MiB 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))
▶	87.4%	(exp.f64 (*.f64 x y))
	66.3%	(exp.f64 y)
	61.0%	(exp.f64 x)
▶	73.3%	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64)))
▶	74.4%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64)))
▶	69.6%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
▶	55.9%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 148 to 85 computations (42.6% saved)

simplify370.0ms (1.4%)

Memory

-15.8MiB live, 297.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

39 328×	`lower-fma.f32`
39 316×	`lower-fma.f64`
5 384×	`lower-+.f64`
5 384×	`lower-+.f32`
3 678×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	224
0	47	224
1	91	224
2	195	224
3	499	221
4	1385	221
5	2473	221
6	3380	221
7	3704	221
8	3731	221
9	3731	221
10	5499	221
11	5499	221
12	5499	221
13	7614	221
14	7884	221
15	7885	221
16	7885	221
0	9041	214

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

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

localize92.0ms (0.3%)

Memory

-16.7MiB live, 112.0MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.7351333826909067	(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64))
accuracy	1.19293728676872	(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (*.f64 y x) #s(literal 1/2 binary64)) x)
accuracy	1.2200807367301147	(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64))
accuracy	16.835871251275552	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64)))
accuracy	1.2238676668181137	(fma.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64))
accuracy	3.1961807619814415	(.f64 (.f64 (*.f64 y y) x) x)
accuracy	7.110856999792629	(.f64 (.f64 y y) x)
accuracy	17.78465558967374	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64)))
accuracy	0	(*.f64 y y)
accuracy	2.8299299447230615	(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
accuracy	20.387743388136442	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
accuracy	28.197771645449972	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
accuracy	0	(*.f64 x y)
accuracy	0	(exp.f64 (*.f64 x y))

Samples

54.0ms

256×

valid

Compiler

Compiled 191 to 29 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 22.0ms (61.1% of total)

ival-add: 6.0ms (16.7% of total)

ival-exp: 4.0ms (11.1% of total)

const: 3.0ms (8.3% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.1%)

Memory

33.5MiB live, 33.5MiB allocated

Counts

16 → 372

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	((exp (* x y)) (* x y) (exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y) (exp (* (* x y) y)) (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (+ (* (* (* (* y y) x) x) 1/2) x) (* (* (* y y) x) x) (exp (* (* x y) y)) (+ (* (* (+ (* (* (+ (* (* 1/6 y) (* y x)) 1/2) x) (* y y)) 1) y) (* y x)) 1) (* (+ (* (* (+ (* (* 1/6 y) (* y x)) 1/2) x) (* y y)) 1) y) (+ (* (* (+ (* (* 1/6 y) (* y x)) 1/2) x) (* y y)) 1) (* (* y y) x) (* (+ (* (* 1/6 y) (* y x)) 1/2) x))
3.0ms	x	@	-inf	((exp (* x y)) (* x y) (exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y) (exp (* (* x y) y)) (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (+ (* (* (* (* y y) x) x) 1/2) x) (* (* (* y y) x) x) (exp (* (* x y) y)) (+ (* (* (+ (* (* (+ (* (* 1/6 y) (* y x)) 1/2) x) (* y y)) 1) y) (* y x)) 1) (* (+ (* (* (+ (* (* 1/6 y) (* y x)) 1/2) x) (* y y)) 1) y) (+ (* (* (+ (* (* 1/6 y) (* y x)) 1/2) x) (* y y)) 1) (* (* y y) x) (* (+ (* (* 1/6 y) (* y x)) 1/2) x))
2.0ms	x	@	inf	((exp (* x y)) (* x y) (exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y) (exp (* (* x y) y)) (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (+ (* (* (* (* y y) x) x) 1/2) x) (* (* (* y y) x) x) (exp (* (* x y) y)) (+ (* (* (+ (* (* (+ (* (* 1/6 y) (* y x)) 1/2) x) (* y y)) 1) y) (* y x)) 1) (* (+ (* (* (+ (* (* 1/6 y) (* y x)) 1/2) x) (* y y)) 1) y) (+ (* (* (+ (* (* 1/6 y) (* y x)) 1/2) x) (* y y)) 1) (* (* y y) x) (* (+ (* (* 1/6 y) (* y x)) 1/2) x))
2.0ms	y	@	-inf	((exp (* x y)) (* x y) (exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y) (exp (* (* x y) y)) (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (+ (* (* (* (* y y) x) x) 1/2) x) (* (* (* y y) x) x) (exp (* (* x y) y)) (+ (* (* (+ (* (* (+ (* (* 1/6 y) (* y x)) 1/2) x) (* y y)) 1) y) (* y x)) 1) (* (+ (* (* (+ (* (* 1/6 y) (* y x)) 1/2) x) (* y y)) 1) y) (+ (* (* (+ (* (* 1/6 y) (* y x)) 1/2) x) (* y y)) 1) (* (* y y) x) (* (+ (* (* 1/6 y) (* y x)) 1/2) x))
2.0ms	y	@	0	((exp (* x y)) (* x y) (exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y) (exp (* (* x y) y)) (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (+ (* (* (* (* y y) x) x) 1/2) x) (* (* (* y y) x) x) (exp (* (* x y) y)) (+ (* (* (+ (* (* (+ (* (* 1/6 y) (* y x)) 1/2) x) (* y y)) 1) y) (* y x)) 1) (* (+ (* (* (+ (* (* 1/6 y) (* y x)) 1/2) x) (* y y)) 1) y) (+ (* (* (+ (* (* 1/6 y) (* y x)) 1/2) x) (* y y)) 1) (* (* y y) x) (* (+ (* (* 1/6 y) (* y x)) 1/2) x))

simplify196.0ms (0.7%)

Memory

3.3MiB live, 194.5MiB allocated

Algorithm

1×	egg-herbie

Rules

14 380×	`lower-fma.f64`
14 380×	`lower-fma.f32`
4 866×	`lower-*.f64`
4 866×	`lower-*.f32`
2 130×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	233	3504
1	770	3433
2	2323	3310
3	6271	3294
0	8320	3054

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 368

Calls

Call 1

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

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

rewrite387.0ms (1.5%)

Memory

5.6MiB live, 197.0MiB allocated

Rules

9 078×	`lower-fma.f32`
9 066×	`lower-fma.f64`
5 388×	`lower-*.f32`
5 372×	`lower-*.f64`
3 524×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	189
0	47	189
1	161	189
2	1094	181
0	8180	181

Stop Event

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

Counts

16 → 380

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

Outputs
(*.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 y) (/.f64 x #s(literal 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)))))
(pow.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 y #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 y) x)
(pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (.f64 y #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 x) (fma.f64 y #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 x) y)
(exp.f64 (*.f64 (log.f64 (exp.f64 y)) x))
(exp.f64 (*.f64 y x))
(.f64 (.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 x (log.f64 (exp.f64 y)))
(*.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))))))
(log.f64 (exp.f64 (*.f64 y x)))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 y x) y #s(literal -1 binary64)))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y x) y #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (.f64 (*.f64 y y) x)))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x)))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) x #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (fma.f64 (.f64 y x) y #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y x) y #s(literal -1 binary64))))) (+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) y #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) y #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 y y) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 y x) y #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x))) (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)))) (fma.f64 (.f64 y x) y #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x))) (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y)))) (fma.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 y x) y #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 y x) y #s(literal -1 binary64)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 y y) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (.f64 (.f64 y y) x)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 y y) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) y #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (.f64 (.f64 y y) x))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 y y) x) y) (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (.f64 (.f64 y y) x))) (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 y y) #s(literal -1 binary64))) (fma.f64 (*.f64 y x) y #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x)))))
(neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 y y) #s(literal -1 binary64)) (neg.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)))))
(neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x))))))
(fma.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) y #s(literal -1 binary64)))))
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x) #s(literal 1 binary64))
(fma.f64 y (*.f64 y x) #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 (.f64 y y) x))) (/.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) y #s(literal -1 binary64))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) y #s(literal -1 binary64)))))
(+.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(.f64 (.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
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eval191.0ms (0.7%)

Memory: -11.4MiB live, 353.8MiB allocated
Compiler: Compiled 25 663 to 1 465 computations (94.3% saved)

prune129.0ms (0.5%)

Memory

-12.9MiB live, 305.8MiB allocated

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	794	11	805
Fresh	1	1	2
Picked	2	3	5
Done	0	1	1
Total	797	16	813

Accuracy

100.0%

Counts

813 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	87.4%	(exp.f64 (*.f64 x y))
	61.0%	(exp.f64 x)
✓	73.3%	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64)))
▶	75.5%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y x) (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) y) x #s(literal 1 binary64)))
	74.2%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (+ (* (* 1/6 y) (* y x)) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/6 binary64)) y) y)) y) (*.f64 y x) #s(literal 1 binary64)))
▶	68.1%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
	18.3%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x (.f64 y y))) (.f64 (.f64 y y) (.f64 y y)))))
	20.4%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (.f64 (.f64 (fma.f64 (.f64 (.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64) x) y) y)))
▶	20.6%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) y) y)))
	16.8%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
✓	55.9%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
	60.0%	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)))
▶	67.4%	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64)))
	60.1%	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
▶	53.8%	#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))

Compiler

Compiled 418 to 223 computations (46.7% saved)

simplify143.0ms (0.5%)

Memory

6.5MiB live, 82.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

5 530×	`lower-fma.f32`
5 514×	`lower-fma.f64`
2 944×	`distribute-lft-in`
2 572×	`associate-r`
2 432×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	372
0	72	372
1	147	372
2	341	356
3	838	356
4	1279	356
5	2356	356
6	4401	356
7	4433	356
8	4443	356
9	4447	356
10	4447	356
11	5777	356
12	6341	356
13	6679	356
14	6878	356
15	6902	356
16	6902	356
0	8483	348

Stop Event

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

Calls

Call 1

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

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

localize120.0ms (0.5%)

Memory

7.1MiB live, 148.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.4911269959758696	(.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64)))
accuracy	1.8804479524589695	(fma.f64 (fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64))
accuracy	4.270623217473792	(fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) x y)
accuracy	18.567861951194445	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64)))
accuracy	3.230524982460734	(.f64 (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x)
accuracy	7.110856999792629	(.f64 (.f64 y y) x)
accuracy	17.78465558967374	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) y) y)))
accuracy	34.28909812090197	#s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) y) y))
accuracy	0	(*.f64 y x)
accuracy	0.05859375	(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
accuracy	20.387743388136442	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
accuracy	0	(fma.f64 y x #s(literal 1 binary64))
accuracy	26.208210314286426	#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
accuracy	1.19293728676872	(.f64 (fma.f64 (.f64 y x) (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x)
accuracy	1.2200807367301147	(fma.f64 (.f64 (fma.f64 (.f64 y x) (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64))
accuracy	1.89415236249129	(fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y x) (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) y) x #s(literal 1 binary64))
accuracy	16.835871251275552	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y x) (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) y) x #s(literal 1 binary64)))

Samples

92.0ms

256×

valid

Compiler

Compiled 296 to 44 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 46.0ms (71.3% of total)

ival-add: 11.0ms (17% of total)

ival-exp: 4.0ms (6.2% of total)

const: 3.0ms (4.6% of total)

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

exact: 0.0ms (0% of total)

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

series48.0ms (0.2%)

Memory

-18.5MiB live, 95.8MiB allocated

Counts

21 → 504

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	((exp (* (* x y) y)) (+ (* (* (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) y) x) 1) (* (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) y) (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) (exp (* x y)) (+ (* y x) 1) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp (* (* x y) y)) (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (* (* (* (* (* (* y y) x) 1/2) x) y) y) (* (* (* (* (* y y) x) 1/2) x) y) (exp (* x y)) (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) (* (* y y) (+ (* (* 1/6 x) y) 1/2)) (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* (* y y) x) (* (* (* (* y y) x) 1/2) x))
5.0ms	x	@	-inf	((exp (* (* x y) y)) (+ (* (* (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) y) x) 1) (* (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) y) (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) (exp (* x y)) (+ (* y x) 1) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp (* (* x y) y)) (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (* (* (* (* (* (* y y) x) 1/2) x) y) y) (* (* (* (* (* y y) x) 1/2) x) y) (exp (* x y)) (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) (* (* y y) (+ (* (* 1/6 x) y) 1/2)) (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* (* y y) x) (* (* (* (* y y) x) 1/2) x))
3.0ms	x	@	inf	((exp (* (* x y) y)) (+ (* (* (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) y) x) 1) (* (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) y) (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) (exp (* x y)) (+ (* y x) 1) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp (* (* x y) y)) (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (* (* (* (* (* (* y y) x) 1/2) x) y) y) (* (* (* (* (* y y) x) 1/2) x) y) (exp (* x y)) (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) (* (* y y) (+ (* (* 1/6 x) y) 1/2)) (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* (* y y) x) (* (* (* (* y y) x) 1/2) x))
3.0ms	y	@	inf	((exp (* (* x y) y)) (+ (* (* (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) y) x) 1) (* (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) y) (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) (exp (* x y)) (+ (* y x) 1) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp (* (* x y) y)) (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (* (* (* (* (* (* y y) x) 1/2) x) y) y) (* (* (* (* (* y y) x) 1/2) x) y) (exp (* x y)) (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) (* (* y y) (+ (* (* 1/6 x) y) 1/2)) (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* (* y y) x) (* (* (* (* y y) x) 1/2) x))
3.0ms	x	@	0	((exp (* (* x y) y)) (+ (* (* (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) y) x) 1) (* (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) y) (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) (exp (* x y)) (+ (* y x) 1) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp (* (* x y) y)) (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (* (* (* (* (* (* y y) x) 1/2) x) y) y) (* (* (* (* (* y y) x) 1/2) x) y) (exp (* x y)) (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) (* (* y y) (+ (* (* 1/6 x) y) 1/2)) (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* (* y y) x) (* (* (* (* y y) x) 1/2) x))

simplify433.0ms (1.6%)

Memory

11.9MiB live, 245.5MiB allocated

Algorithm

1×	egg-herbie

Rules

26 700×	`lower-fma.f64`
26 700×	`lower-fma.f32`
6 456×	`lower-*.f64`
6 456×	`lower-*.f32`
4 580×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	368	5251
1	1261	5160
2	4164	4979
0	8352	4651

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 500

Calls

Call 1

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

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

rewrite333.0ms (1.3%)

Memory

29.5MiB live, 253.3MiB allocated

Rules

6 490×	`lower-fma.f32`
6 474×	`lower-fma.f64`
5 464×	`lower-*.f32`
5 438×	`lower-*.f64`
3 748×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	314
0	72	314
1	263	300
2	1777	300
0	8165	296

Stop Event

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

Counts

21 → 372

Calls

Call 1

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

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

eval259.0ms (1%)

Memory: -10.6MiB live, 238.5MiB allocated
Compiler: Compiled 25 541 to 1 747 computations (93.2% saved)

prune296.0ms (1.1%)

Memory

0.1MiB live, 323.0MiB allocated

Pruning

23 alts after pruning (16 fresh and 7 done)

	Pruned	Kept	Total
New	894	11	905
Fresh	2	5	7
Picked	2	3	5
Done	0	4	4
Total	898	23	921

Accuracy

100.0%

Counts

921 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	87.4%	(exp.f64 (*.f64 x y))
	61.0%	(exp.f64 x)
✓	73.3%	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64)))
✓	75.5%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y x) (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) y) x #s(literal 1 binary64)))
▶	73.6%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 #s(approx (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64)) x) y)) y) y) x #s(literal 1 binary64)))
✓	68.1%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
	18.3%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x (.f64 y y))) (.f64 (.f64 y y) (.f64 y y)))))
▶	20.4%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (.f64 (.f64 (fma.f64 (.f64 (.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64) x) y) y)))
	19.9%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y x) y) #s(literal 1/2 binary64)) x) y) y)))
	20.2%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (.f64 x x)) y) y)))
	20.9%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 y (.f64 (.f64 y x) (.f64 #s(literal 1/2 binary64) x))) y) y)))
	16.8%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
✓	55.9%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
	61.8%	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 y y) x) x) #s(literal -1/4 binary64)) (.f64 y y)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) y #s(literal -1/2 binary64))) x y) x #s(literal 1 binary64)))
	60.1%	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
	66.6%	#s(approx (exp (* x y)) (fma.f64 (.f64 (fma.f64 x (.f64 y (fma.f64 (*.f64 y x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) y) x #s(literal 1 binary64)))
	62.5%	#s(approx (exp (* x y)) (fma.f64 #s(approx (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x #s(literal 1 binary64)))
✓	53.8%	#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
▶	18.8%	#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 x (.f64 y y))) y) (*.f64 y y))))
▶	22.8%	#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64)) x) x)))
	20.3%	#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 (.f64 (.f64 (.f64 y y) (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) x) (*.f64 x x))))
▶	8.5%	#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x)))

Compiler

Compiled 627 to 332 computations (47% saved)

simplify175.0ms (0.7%)

Memory

-19.7MiB live, 152.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 x (.f64 y y))) y) (*.f64 y y)))
cost-diff	0	#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 x (.f64 y y))) y) (*.f64 y y))))
cost-diff	704	(.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 x (.f64 y y))) y) (*.f64 y y))
cost-diff	1024	(.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 x (*.f64 y y))) y)
cost-diff	0	(.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64) x) y)
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 (.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64) x) y) y)
cost-diff	0	#s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (.f64 (.f64 (fma.f64 (.f64 (.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64) x) y) y))
cost-diff	0	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (.f64 (.f64 (fma.f64 (.f64 (.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64) x) y) y)))
cost-diff	0	(.f64 (.f64 (.f64 (.f64 (*.f64 y y) y) x) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64)) x) x))
cost-diff	0	#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64)) x) x)))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (* y x) 1) (*.f64 y x))
cost-diff	0	#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x)))
cost-diff	0	(.f64 #s(approx (+ ( (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64)) x) y)) y)
cost-diff	0	(.f64 (.f64 #s(approx (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64)) x) y)) y) y)
cost-diff	0	(fma.f64 (.f64 (.f64 #s(approx (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64)) x) y)) y) y) x #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 #s(approx (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64)) x) y)) y) y) x #s(literal 1 binary64)))

Rules

10 752×	`lower-fma.f32`
10 744×	`lower-fma.f64`
3 688×	`lower-*.f32`
3 654×	`lower-*.f64`
1 454×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	671
0	94	671
1	188	631
2	437	625
3	1075	607
4	1568	606
5	2111	599
6	2926	599
7	4454	599
8	5745	599
9	6180	599
10	7295	599
11	7428	599
12	7575	599
0	8011	565

Stop Event

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

Calls

Call 1

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

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

localize363.0ms (1.4%)

Memory

-6.9MiB live, 222.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	10.585927685774639	(.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 x (*.f64 y y))) y)
accuracy	18.012008679647995	(.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 x (.f64 y y))) y) (*.f64 y y))
accuracy	18.567861951194445	#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 x (.f64 y y))) y) (*.f64 y y))))
accuracy	32.50690683299117	#s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 x (.f64 y y))) y) (*.f64 y y)))
accuracy	3.1961807619814415	(.f64 (.f64 (*.f64 y y) x) x)
accuracy	7.110856999792629	(.f64 (.f64 y y) x)
accuracy	17.78465558967374	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (.f64 (.f64 (fma.f64 (.f64 (.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64) x) y) y)))
accuracy	34.2378908629339	#s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (.f64 (.f64 (fma.f64 (.f64 (.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64) x) y) y))
accuracy	4.129454471458672	(.f64 (.f64 (.f64 (.f64 (*.f64 y y) y) x) #s(literal 1/6 binary64)) x)
accuracy	6.170055239069944	(.f64 (.f64 (*.f64 y y) y) x)
accuracy	18.567861951194445	#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64)) x) x)))
accuracy	33.11739184937966	#s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64)) x) x))
accuracy	0	(*.f64 y x)
accuracy	26.208210314286426	#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x)))
accuracy	32.93665135502792	#s(approx (+ (* y x) 1) (*.f64 y x))
accuracy	4.129454471458672	(.f64 (.f64 (.f64 (.f64 (*.f64 y y) y) x) #s(literal 1/6 binary64)) x)
accuracy	6.170055239069944	(.f64 (.f64 (*.f64 y y) y) x)
accuracy	16.835871251275552	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 #s(approx (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64)) x) y)) y) y) x #s(literal 1 binary64)))
accuracy	34.29636443999512	#s(approx (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64)) x) y))

Samples

304.0ms

256×

valid

Compiler

Compiled 417 to 54 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 255.0ms

ival-mult: 232.0ms (91.1% of total)

ival-add: 12.0ms (4.7% of total)

ival-exp: 4.0ms (1.6% of total)

ival-div: 3.0ms (1.2% of total)

const: 3.0ms (1.2% of total)

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

exact: 0.0ms (0% of total)

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

series67.0ms (0.3%)

Memory

0.1MiB live, 77.0MiB allocated

Counts

23 → 552

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	x	@	inf	((exp (* (* x y) y)) (+ (* (* (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) y) x) 1) (* (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) y) (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) (exp (* x y)) (+ (* y x) 1) (* y x) (exp (* x y)) (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (* (* (* (* (* (* y y) y) x) 1/6) x) x) (* (* (* (* (* y y) y) x) 1/6) x) (exp (* (* x y) y)) (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (* (* (+ (* (* (* (* y y) x) x) 1/2) x) y) y) (* (+ (* (* (* (* y y) x) x) 1/2) x) y) (* (+ (* (* x x) (+ (* 1/6 x) (/ 1/2 y))) (/ x (* y y))) y) (* (* (+ (* (* x x) (+ (* 1/6 x) (/ 1/2 y))) (/ x (* y y))) y) (* y y)) (exp (* x y)) (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) (* (* (* y y) y) x) (* (* y y) x) (* (* (* y y) x) x))
4.0ms	y	@	-inf	((exp (* (* x y) y)) (+ (* (* (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) y) x) 1) (* (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) y) (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) (exp (* x y)) (+ (* y x) 1) (* y x) (exp (* x y)) (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (* (* (* (* (* (* y y) y) x) 1/6) x) x) (* (* (* (* (* y y) y) x) 1/6) x) (exp (* (* x y) y)) (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (* (* (+ (* (* (* (* y y) x) x) 1/2) x) y) y) (* (+ (* (* (* (* y y) x) x) 1/2) x) y) (* (+ (* (* x x) (+ (* 1/6 x) (/ 1/2 y))) (/ x (* y y))) y) (* (* (+ (* (* x x) (+ (* 1/6 x) (/ 1/2 y))) (/ x (* y y))) y) (* y y)) (exp (* x y)) (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) (* (* (* y y) y) x) (* (* y y) x) (* (* (* y y) x) x))
4.0ms	x	@	-inf	((exp (* (* x y) y)) (+ (* (* (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) y) x) 1) (* (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) y) (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) (exp (* x y)) (+ (* y x) 1) (* y x) (exp (* x y)) (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (* (* (* (* (* (* y y) y) x) 1/6) x) x) (* (* (* (* (* y y) y) x) 1/6) x) (exp (* (* x y) y)) (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (* (* (+ (* (* (* (* y y) x) x) 1/2) x) y) y) (* (+ (* (* (* (* y y) x) x) 1/2) x) y) (* (+ (* (* x x) (+ (* 1/6 x) (/ 1/2 y))) (/ x (* y y))) y) (* (* (+ (* (* x x) (+ (* 1/6 x) (/ 1/2 y))) (/ x (* y y))) y) (* y y)) (exp (* x y)) (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) (* (* (* y y) y) x) (* (* y y) x) (* (* (* y y) x) x))
4.0ms	y	@	inf	((exp (* (* x y) y)) (+ (* (* (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) y) x) 1) (* (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) y) (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) (exp (* x y)) (+ (* y x) 1) (* y x) (exp (* x y)) (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (* (* (* (* (* (* y y) y) x) 1/6) x) x) (* (* (* (* (* y y) y) x) 1/6) x) (exp (* (* x y) y)) (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (* (* (+ (* (* (* (* y y) x) x) 1/2) x) y) y) (* (+ (* (* (* (* y y) x) x) 1/2) x) y) (* (+ (* (* x x) (+ (* 1/6 x) (/ 1/2 y))) (/ x (* y y))) y) (* (* (+ (* (* x x) (+ (* 1/6 x) (/ 1/2 y))) (/ x (* y y))) y) (* y y)) (exp (* x y)) (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) (* (* (* y y) y) x) (* (* y y) x) (* (* (* y y) x) x))
3.0ms	y	@	0	((exp (* (* x y) y)) (+ (* (* (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) y) x) 1) (* (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) y) (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) (exp (* x y)) (+ (* y x) 1) (* y x) (exp (* x y)) (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (* (* (* (* (* (* y y) y) x) 1/6) x) x) (* (* (* (* (* y y) y) x) 1/6) x) (exp (* (* x y) y)) (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (* (* (+ (* (* (* (* y y) x) x) 1/2) x) y) y) (* (+ (* (* (* (* y y) x) x) 1/2) x) y) (* (+ (* (* x x) (+ (* 1/6 x) (/ 1/2 y))) (/ x (* y y))) y) (* (* (+ (* (* x x) (+ (* 1/6 x) (/ 1/2 y))) (/ x (* y y))) y) (* y y)) (exp (* x y)) (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) (* (* (* y y) y) x) (* (* y y) x) (* (* (* y y) x) x))

simplify363.0ms (1.4%)

Memory

-2.7MiB live, 359.0MiB allocated

Algorithm

1×	egg-herbie

Rules

26 512×	`lower-fma.f64`
26 512×	`lower-fma.f32`
6 352×	`lower-*.f64`
6 352×	`lower-*.f32`
4 494×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	352	5919
1	1208	5824
2	4096	5629
0	8278	5267

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 550

Calls

Call 1

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

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

rewrite235.0ms (0.9%)

Memory

15.1MiB live, 322.8MiB allocated

Rules

4 752×	`lower-*.f32`
4 718×	`lower-*.f64`
4 562×	`lower-fma.f32`
4 554×	`lower-fma.f64`
3 912×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	542
0	94	516
1	329	492
2	2345	492
0	8172	462

Stop Event

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

Counts

23 → 200

Calls

Call 1

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

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

eval167.0ms (0.6%)

Memory: 13.0MiB live, 168.6MiB allocated
Compiler: Compiled 16 493 to 838 computations (94.9% saved)

prune310.0ms (1.2%)

Memory

-15.0MiB live, 208.9MiB allocated

Pruning

25 alts after pruning (14 fresh and 11 done)

	Pruned	Kept	Total
New	805	9	814
Fresh	6	5	11
Picked	1	4	5
Done	0	7	7
Total	812	25	837

Accuracy

100.0%

Counts

837 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	87.4%	(exp.f64 (*.f64 x y))
	61.0%	(exp.f64 x)
✓	73.3%	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64)))
✓	75.5%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y x) (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) y) x #s(literal 1 binary64)))
✓	73.6%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 #s(approx (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64)) x) y)) y) y) x #s(literal 1 binary64)))
✓	68.1%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
	18.9%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/2 binary64) (/.f64 (.f64 y y) x)) (.f64 x x))))
✓	20.4%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (.f64 (.f64 (fma.f64 (.f64 (.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64) x) y) y)))
	19.9%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y x) y) #s(literal 1/2 binary64)) x) y) y)))
	20.9%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 y (.f64 (.f64 y x) (.f64 #s(literal 1/2 binary64) x))) y) y)))
	15.4%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (.f64 #s(approx ( (+ (* (* (* (* y y) x) x) 1/2) x) y) (*.f64 y x)) y)))
	16.8%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) #s(approx (* (* (+ (* (* (* (* y y) x) x) 1/2) x) y) y) (.f64 (.f64 y y) x))))
✓	55.9%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
	66.6%	#s(approx (exp (* x y)) (fma.f64 (.f64 (fma.f64 x (.f64 y (fma.f64 (*.f64 y x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) y) x #s(literal 1 binary64)))
	62.5%	#s(approx (exp (* x y)) (fma.f64 #s(approx (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x #s(literal 1 binary64)))
✓	53.8%	#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
✓	22.8%	#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64)) x) x)))
	20.2%	#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64)) (.f64 x x))))
	13.2%	#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 #s(approx ( (+ (* (* x x) (+ (* 1/6 x) (/ 1/2 y))) (/ x (* y y))) y) (/.f64 x y)) (*.f64 y y))))
	20.5%	#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 #s(approx ( (+ (* (* x x) (+ (* 1/6 x) (/ 1/2 y))) (/ x (* y y))) y) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal 1/2 binary64) x)) x) (.f64 x x))) (.f64 y y))))
	19.4%	#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 #s(approx ( (+ (* (* x x) (+ (* 1/6 x) (/ 1/2 y))) (/ x (* y y))) y) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) y)) (*.f64 y y))))
	19.7%	#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) #s(approx (* (* (+ (* (* x x) (+ (* 1/6 x) (/ 1/2 y))) (/ x (* y y))) y) (* y y)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 y x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) y x) y))))
	16.8%	#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) #s(approx (* (* (+ (* (* x x) (+ (* 1/6 x) (/ 1/2 y))) (/ x (* y y))) y) (* y y)) (.f64 (fma.f64 (.f64 (*.f64 y x) x) #s(literal 1/2 binary64) x) y))))
✓	8.5%	#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x)))

Compiler

Compiled 902 to 318 computations (64.7% saved)

regimes101.0ms (0.4%)

Memory

-15.0MiB live, 63.1MiB allocated

Counts

39 → 1

Calls

Call 1

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

65.0ms	y
14.0ms	x
10.0ms	(.f64 (.f64 x y) y)
9.0ms	(exp.f64 (.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)

regimes47.0ms (0.2%)

Memory

33.6MiB live, 106.1MiB 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 (+ (* y x) 1) (*.f64 y x)))
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) #s(approx (* (* (+ (* (* (* (* y y) x) x) 1/2) x) y) y) (.f64 (.f64 y y) x))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (.f64 #s(approx ( (+ (* (* (* (* y y) x) x) 1/2) x) y) (*.f64 y x)) y)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) #s(approx (* (* (+ (* (* x x) (+ (* 1/6 x) (/ 1/2 y))) (/ x (* y y))) y) (* y y)) (.f64 (fma.f64 (.f64 (*.f64 y x) x) #s(literal 1/2 binary64) x) y))))
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 #s(approx ( (+ (* (* x x) (+ (* 1/6 x) (/ 1/2 y))) (/ x (* y y))) y) (/.f64 x y)) (*.f64 y y))))
#s(approx (exp (* x y)) (fma.f64 #s(approx (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x #s(literal 1 binary64)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 #s(approx ( (+ (* (* x x) (+ (* 1/6 x) (/ 1/2 y))) (/ x (* y y))) y) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) y)) (*.f64 y y))))
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64)) (.f64 x x))))
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64)) x) x)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 y (.f64 (.f64 y x) (.f64 #s(literal 1/2 binary64) x))) y) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (.f64 x x)) y) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y x) y) #s(literal 1/2 binary64)) x) y) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) y) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (.f64 (.f64 (fma.f64 (.f64 (.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64) x) y) y)))
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) #s(approx (* (* (+ (* (* x x) (+ (* 1/6 x) (/ 1/2 y))) (/ x (* y y))) y) (* y y)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 y x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) y x) y))))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* x y)) (fma.f64 (.f64 (fma.f64 x (.f64 y (fma.f64 (*.f64 y x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) y) x #s(literal 1 binary64)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64)))
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 #s(approx ( (+ (* (* x x) (+ (* 1/6 x) (/ 1/2 y))) (/ x (* y y))) y) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal 1/2 binary64) x)) x) (.f64 x x))) (.f64 y y))))
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 (.f64 (.f64 (.f64 y y) (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) x) (*.f64 x x))))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (+ (* (* 1/6 y) (* y x)) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/6 binary64)) y) y)) y) (*.f64 y x) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 #s(approx (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64)) x) y)) y) y) x #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x (.f64 y y))) (.f64 (.f64 y y) (.f64 y y)))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/2 binary64) (/.f64 (.f64 y y) x)) (.f64 x x))))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y x) (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) y) x #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64)))
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 x (.f64 y y))) y) (*.f64 y y))))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 y y) x) x) #s(literal -1/4 binary64)) (.f64 y y)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) y #s(literal -1/2 binary64))) x 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 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y x) (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x) (*.f64 y y) #s(literal 1 binary64)) y) y) x #s(literal 1 binary64)))

Calls

4 calls:

13.0ms	x
11.0ms	(exp.f64 (.f64 (.f64 x y) y))
11.0ms	y
10.0ms	(.f64 (.f64 x y) y)

Results

Accuracy	Segments	Branch
91.0%	2	`x`
93.8%	2	`y`
95.2%	2	`(exp.f64 (.f64 (.f64 x y) y))`
95.2%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes78.0ms (0.3%)

Memory

-39.0MiB live, 87.4MiB allocated

Counts

37 → 2

Calls

Call 1

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

Calls

4 calls:

13.0ms	(.f64 (.f64 x y) y)
12.0ms	y
11.0ms	x
9.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
79.1%	2	`x`
81.7%	2	`y`
88.7%	2	`(exp.f64 (.f64 (.f64 x y) y))`
88.7%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes62.0ms (0.2%)

Memory

22.4MiB live, 61.5MiB allocated

Counts

35 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

33.0ms	x
10.0ms	y
9.0ms	(.f64 (.f64 x y) y)
8.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
75.5%	1	`x`
75.5%	1	`y`
75.5%	1	`(exp.f64 (.f64 (.f64 x y) y))`
75.5%	1	`(.f64 (.f64 x y) y)`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes44.0ms (0.2%)

Memory

-14.5MiB live, 59.1MiB allocated

Counts

31 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

9.0ms	y
9.0ms	x
8.0ms	(.f64 (.f64 x y) y)
7.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
76.0%	2	`(exp.f64 (.f64 (.f64 x y) y))`
76.0%	2	`(.f64 (.f64 x y) y)`
74.2%	1	`x`
74.2%	1	`y`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes22.0ms (0.1%)

Memory

7.8MiB live, 41.2MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

8.0ms	x
5.0ms	y
4.0ms	(.f64 (.f64 x y) y)
4.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
69.6%	1	`x`
69.6%	1	`y`
73.7%	2	`(exp.f64 (.f64 (.f64 x y) y))`
73.7%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes8.0ms (0%)

Memory

21.6MiB live, 21.6MiB 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 (+ (* y x) 1) (*.f64 y x)))
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) #s(approx (* (* (+ (* (* (* (* y y) x) x) 1/2) x) y) y) (.f64 (.f64 y y) x))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (.f64 #s(approx ( (+ (* (* (* (* y y) x) x) 1/2) x) y) (*.f64 y x)) y)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) #s(approx (* (* (+ (* (* x x) (+ (* 1/6 x) (/ 1/2 y))) (/ x (* y y))) y) (* y y)) (.f64 (fma.f64 (.f64 (*.f64 y x) x) #s(literal 1/2 binary64) x) y))))
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 #s(approx ( (+ (* (* x x) (+ (* 1/6 x) (/ 1/2 y))) (/ x (* y y))) y) (/.f64 x y)) (*.f64 y y))))
#s(approx (exp (* x y)) (fma.f64 #s(approx (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x #s(literal 1 binary64)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 #s(approx ( (+ (* (* x x) (+ (* 1/6 x) (/ 1/2 y))) (/ x (* y y))) y) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) y)) (*.f64 y y))))

Outputs

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

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

#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #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
71.8%	2	`(exp.f64 (.f64 (.f64 x y) y))`
73.4%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes14.0ms (0.1%)

Memory

-6.9MiB live, 30.7MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
69.6%	1	`y`
69.6%	1	`(exp.f64 (.f64 (.f64 x y) y))`
69.6%	1	`(.f64 (.f64 x y) y)`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes11.0ms (0%)

Memory

25.6MiB live, 25.6MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
69.7%	2	`(.f64 (.f64 x y) y)`
69.7%	2	`(exp.f64 (.f64 (.f64 x y) y))`
68.1%	1	`x`
68.1%	1	`y`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes13.0ms (0.1%)

Memory

-50.2MiB live, 7.5MiB 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 (+ (* y x) 1) (*.f64 y x)))
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
58.3%	2	`x`
61.0%	2	`y`
61.2%	2	`(.f64 (.f64 x y) y)`
61.2%	2	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes3.0ms (0%)

Memory

2.6MiB live, 2.6MiB 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 (+ (* y x) 1) (*.f64 y x)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
61.2%	2	`(exp.f64 (.f64 (.f64 x y) y))`
61.2%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes5.0ms (0%)

Memory

5.3MiB live, 5.3MiB 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	y
1.0ms	x
1.0ms	(.f64 (.f64 x y) y)
1.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
55.9%	1	`x`
55.9%	1	`y`
55.9%	1	`(.f64 (.f64 x y) y)`
55.9%	1	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 21 to 13 computations (38.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.2282330908341497e+25	-1.3422050675628639e-6

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.2282330908341497e+25	-1.3422050675628639e-6

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.3549929653418764	663.1695964721574

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.3549929653418764	663.1695964721574

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.3653301066368154e+258	6.579932369875051e+290
0.0ms	2.3549929653418764	663.1695964721574

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	10.538054729822418

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	10.538054729822418

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	10.538054729822418	1.0254070850307016e+288

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify9.0ms (0%)

Memory

13.4MiB live, 13.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	433
1	112	433

Stop Event

1×

saturated

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 x y) y))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -10000000000000000905969664 binary64)) (exp.f64 (.f64 x y)) #s(approx (exp ( (* x y) y)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y x) (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) y) x #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -10000000000000000905969664 binary64)) (exp.f64 x) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y x) (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) y) x #s(literal 1 binary64))))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y x) (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) y) x #s(literal 1 binary64)))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64)) x) x))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64)) (.f64 x x)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4000000000000000227198870526639838396839574810638905269644565076667627099850709919509045230158696198615890586013559783158746306041677356512974824473892129280325162661990966257626680094849151159498938946696828546978696799135326879673623733585293939597079740416 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 #s(approx ( (+ (* (* x x) (+ (* 1/6 x) (/ 1/2 y))) (/ x (* y y))) y) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) y)) (.f64 y y)))) #s(approx (exp ( (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #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 (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))))
(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)) (fma.f64 y x #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 20 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Outputs
(exp.f64 (.f64 (.f64 x y) y))
(exp.f64 (.f64 (.f64 y x) y))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -10000000000000000905969664 binary64)) (exp.f64 (.f64 x y)) #s(approx (exp ( (* x y) y)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y x) (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) y) x #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -10000000000000000905969664 binary64)) (exp.f64 (.f64 y x)) #s(approx (exp ( (* x y) y)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y x) (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) y) x #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -10000000000000000905969664 binary64)) (exp.f64 x) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y x) (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) y) x #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -10000000000000000905969664 binary64)) (exp.f64 x) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y x) (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) y) x #s(literal 1 binary64))))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y x) (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) y) x #s(literal 1 binary64)))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64)) x) x))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal 4 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64)) x) x))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64)) (.f64 x x)))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal 4 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 y y) y) x) #s(literal 1/6 binary64))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4000000000000000227198870526639838396839574810638905269644565076667627099850709919509045230158696198615890586013559783158746306041677356512974824473892129280325162661990966257626680094849151159498938946696828546978696799135326879673623733585293939597079740416 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 #s(approx ( (+ (* (* x x) (+ (* 1/6 x) (/ 1/2 y))) (/ x (* y y))) y) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) y)) (.f64 y y)))) #s(approx (exp ( (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal 4 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 4000000000000000227198870526639838396839574810638905269644565076667627099850709919509045230158696198615890586013559783158746306041677356512974824473892129280325162661990966257626680094849151159498938946696828546978696799135326879673623733585293939597079740416 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1) (.f64 #s(approx ( (+ (* (* x x) (+ (* 1/6 x) (/ 1/2 y))) (/ x (* y y))) y) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) y)) (.f64 y y)))) #s(approx (exp ( (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #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 (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))))
(if (<=.f64 (exp.f64 (.f64 (.f64 y x) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))))
(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)) (fma.f64 y x #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (.f64 (.f64 y x) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 20 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x))))
(if (<=.f64 (exp.f64 (.f64 (.f64 y x) y)) #s(literal 20 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

soundness20.3s (76.6%)

Memory

19.2MiB live, 966.0MiB allocated

Rules

26 700×	`lower-fma.f64`
26 700×	`lower-fma.f32`
26 512×	`lower-fma.f64`
26 512×	`lower-fma.f32`
14 380×	`lower-fma.f64`

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
0	233	3504
1	770	3433
2	2323	3310
3	6271	3294
0	8320	3054
0	368	5251
1	1261	5160
2	4164	4979
0	8352	4651
0	27	189
0	47	189
1	161	189
2	1094	181
0	8180	181
0	65	542
0	94	516
1	329	492
2	2345	492
0	8172	462
0	44	392
1	120	392
2	329	388
3	808	384
4	1112	380
5	1239	380
6	1319	380
7	1342	380
8	1356	380
9	2822	380
10	3417	380
11	4208	380
12	5204	380
13	5225	380
14	5225	380
15	5465	380
16	5465	380
17	5465	380
18	5465	380
19	6947	380
20	6947	380
0	6947	368
0	352	5919
1	1208	5824
2	4096	5629
0	8278	5267

Stop Event

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

Compiler

Compiled 416 to 161 computations (61.3% saved)

preprocess113.0ms (0.4%)

Memory: -9.2MiB live, 187.2MiB allocated
Remove: (abs y)
Compiler: Compiled 546 to 132 computations (75.8% 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%)

sample597.0ms (2.3%)

explain74.0ms (0.3%)

preprocess27.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize22.0ms (0.1%)

series7.0ms (0%)

simplify144.0ms (0.5%)

rewrite49.0ms (0.2%)

eval10.0ms (0%)

prune8.0ms (0%)

simplify370.0ms (1.4%)

localize92.0ms (0.3%)

series28.0ms (0.1%)

simplify196.0ms (0.7%)

rewrite387.0ms (1.5%)

eval191.0ms (0.7%)

prune129.0ms (0.5%)

simplify143.0ms (0.5%)

localize120.0ms (0.5%)

series48.0ms (0.2%)

simplify433.0ms (1.6%)

rewrite333.0ms (1.3%)

eval259.0ms (1%)

prune296.0ms (1.1%)

simplify175.0ms (0.7%)

localize363.0ms (1.4%)

series67.0ms (0.3%)

simplify363.0ms (1.4%)

rewrite235.0ms (0.9%)

eval167.0ms (0.6%)

prune310.0ms (1.2%)

regimes101.0ms (0.4%)

regimes47.0ms (0.2%)

regimes78.0ms (0.3%)

regimes62.0ms (0.2%)

regimes44.0ms (0.2%)

regimes22.0ms (0.1%)

regimes8.0ms (0%)

regimes14.0ms (0.1%)

regimes11.0ms (0%)

regimes13.0ms (0.1%)

regimes3.0ms (0%)

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%)

simplify9.0ms (0%)

soundness20.3s (76.6%)

preprocess113.0ms (0.4%)

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