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

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

-39.0MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample549.0ms (2%)

Memory

51.9MiB live, 915.2MiB allocated

Samples

360.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 184.0ms

ival-mult: 115.0ms (62.5% of total)

ival-exp: 60.0ms (32.6% of total)

ival-true: 5.0ms (2.7% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

explain94.0ms (0.3%)

Memory

-20.6MiB live, 99.0MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

24.0ms

512×

valid

Compiler

Compiled 44 to 19 computations (56.8% saved)

Precisions

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

ival-mult: 7.0ms (64.1% of total)

ival-exp: 4.0ms (36.6% of total)

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

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

preprocess26.0ms (0.1%)

Memory

7.6MiB live, 45.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

Compiler

Compiled 8 to 5 computations (37.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB 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

8.9MiB live, 8.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.1%)

Memory

-12.0MiB live, 31.4MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

15.0ms

256×

valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

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

ival-mult: 5.0ms (69.5% of total)

ival-exp: 2.0ms (27.8% of total)

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

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

series6.0ms (0%)

Memory

8.5MiB live, 8.5MiB 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 x) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (pow y 2))) (taylor 0 x) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2)))) (taylor 0 x) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2)))) (taylor 0 x) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf x) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf x) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf x) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf x) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf x) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf x) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf x) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf x) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (pow y 2))) (taylor 0 y) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2)))))) (taylor 0 y) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))) (taylor 0 y) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf y) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf y) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf y) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf y) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())

Calls

18 calls:

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

simplify172.0ms (0.6%)

Memory

8.7MiB live, 82.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

Calls

Call 1

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

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

rewrite51.0ms (0.2%)

Memory

-21.2MiB live, 62.4MiB allocated

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

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

Counts

3 → 7

Calls

Call 1

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

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

eval7.0ms (0%)

Memory: 15.0MiB live, 15.0MiB allocated
Compiler: Compiled 565 to 28 computations (95% saved)

prune13.0ms (0%)

Memory

-15.1MiB live, 21.4MiB 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))
▶	87.1%	(exp.f64 (*.f64 x y))
	66.7%	(exp.f64 y)
	62.9%	(exp.f64 x)
▶	72.9%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
▶	71.0%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
▶	69.7%	#s(approx (exp (* (* x y) y)) (fma.f64 x (*.f64 y y) #s(literal 1 binary64)))
▶	56.0%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 148 to 83 computations (43.9% saved)

simplify226.0ms (0.8%)

Memory

-5.3MiB live, 151.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize83.0ms (0.3%)

Memory

15.5MiB live, 137.9MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	3.0965439307555087	(fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
accuracy	3.7044390609968576	(.f64 x (.f64 x (*.f64 y y)))
accuracy	6.421237438843377	(.f64 x (.f64 y y))
accuracy	17.835054523215483	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
accuracy	1.1878265849199972	(fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
accuracy	1.2203745258604128	(fma.f64 x (.f64 (.f64 x (*.f64 y y)) #s(literal 1/2 binary64)) x)
accuracy	6.421237438843377	(.f64 x (.f64 y y))
accuracy	19.029267380982173	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
accuracy	0	(*.f64 y y)
accuracy	3.3437990733556866	(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
accuracy	20.299525332613637	#s(approx (exp (* (* x y) y)) (fma.f64 x (*.f64 y y) #s(literal 1 binary64)))
accuracy	28.146287267919647	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
accuracy	0	(*.f64 x y)
accuracy	0	(exp.f64 (*.f64 x y))

Samples

55.0ms

256×

valid

Compiler

Compiled 174 to 27 computations (84.5% saved)

Precisions

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

ival-mult: 23.0ms (62.4% of total)

ival-add: 6.0ms (16.3% of total)

ival-exp: 3.0ms (8.1% of total)

const: 3.0ms (8.1% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.1%)

Memory

-4.8MiB live, 32.5MiB allocated

Counts

15 → 348

Calls

Call 1

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

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

Calls

87 calls:

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

simplify291.0ms (1%)

Memory

7.2MiB live, 368.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 344

Calls

Call 1

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

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

rewrite321.0ms (1.1%)

Memory

11.0MiB live, 479.9MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

15 → 378

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (exp.f64 y)) x))
(pow.f64 (exp.f64 x) y)
(pow.f64 (exp.f64 x) (fma.f64 y #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 y) x)
(pow.f64 (exp.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 y #s(literal 1/2 binary64)))
(.f64 (exp.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (exp.f64 (.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (*.f64 x y)))
(+.f64 (log.f64 (exp.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))))) (log.f64 (exp.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))))))
(*.f64 x y)
(*.f64 x (log.f64 (exp.f64 y)))
(*.f64 y x)
(.f64 (.f64 x y) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) (fma.f64 x (*.f64 y y) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 y y)))
(+.f64 (.f64 x (.f64 y y)) #s(literal 1 binary64))
(+.f64 (/.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) (fma.f64 x (.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y y) #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) (fma.f64 x (.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y y) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 y y)))) (/.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 y y)))))
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eval243.0ms (0.9%)

Memory: 10.8MiB live, 171.7MiB allocated
Compiler: Compiled 27 608 to 1 405 computations (94.9% saved)

prune479.0ms (1.7%)

Memory

-32.4MiB live, 213.5MiB allocated

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	832	15	847
Fresh	0	2	2
Picked	0	5	5
Done	0	1	1
Total	832	23	855

Accuracy

100.0%

Counts

855 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	87.1%	(exp.f64 (*.f64 x y))
	66.7%	(exp.f64 y)
	62.9%	(exp.f64 x)
▶	71.1%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)))) x (fma.f64 x (.f64 y y) #s(literal 1 binary64))))
	58.9%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (.f64 x (.f64 x (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x) #s(literal 1 binary64)))
▶	71.0%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 x (.f64 y y)))) (fma.f64 x (.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64))) x)) #s(literal 1 binary64)))
✓	72.9%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
▶	72.7%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) #s(approx (+ (* x (* (* y y) 1/6)) 1/2) (.f64 (.f64 y y) (*.f64 x #s(literal 1/6 binary64)))) x) #s(literal 1 binary64)))
	63.9%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
✓	71.0%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
	71.2%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* x (* x (* y y))) (+ (* x (* (* y y) 1/6)) 1/2)) x) (.f64 (.f64 y y) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (*.f64 y y))))))) #s(literal 1 binary64)))
	68.3%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 x y) y #s(literal 1 binary64)))
✓	69.7%	#s(approx (exp (* (* x y) y)) (fma.f64 x (*.f64 y y) #s(literal 1 binary64)))
	17.8%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 y y) (.f64 y y)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) (/.f64 x (.f64 y y))))))
▶	17.9%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))))
	17.7%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 y (.f64 y (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 y y))) x)))))
	16.6%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* x (* y y)) 1) (.f64 x (.f64 y y))))
✓	56.0%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
	58.6%	#s(approx (exp (* x y)) (fma.f64 y (fma.f64 y (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) #s(literal 1 binary64)))
	65.5%	#s(approx (exp (* x y)) (fma.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)))
	63.9%	#s(approx (exp (* x y)) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 y y)) y) #s(literal 1 binary64)))
▶	57.6%	#s(approx (exp (* x y)) (fma.f64 x y #s(literal 1 binary64)))

Compiler

Compiled 690 to 342 computations (50.4% saved)

simplify178.0ms (0.6%)

Memory

24.8MiB live, 182.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 (.f64 y y) (fma.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 x (.f64 y y)))) (fma.f64 x (.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64))) x)) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 x (.f64 y y)))) (fma.f64 x (.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64))) x)) #s(literal 1 binary64)))
cost-diff	1280	(fma.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 x (.f64 y y)))) (fma.f64 x (.f64 x (.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) (.f64 x (.f64 (*.f64 y y) #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)))) x (fma.f64 x (.f64 y y) #s(literal 1 binary64))))
cost-diff	640	(fma.f64 (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)))) x (fma.f64 x (.f64 y y) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 y y))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))
cost-diff	0	#s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x (.f64 x (.f64 y y)))))
cost-diff	0	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))))
cost-diff	0	(fma.f64 x y #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* x y)) (fma.f64 x y #s(literal 1 binary64)))
cost-diff	0	(fma.f64 (.f64 x (.f64 x (.f64 y y))) #s(approx (+ ( x (* (* y y) 1/6)) 1/2) (.f64 (.f64 y y) (*.f64 x #s(literal 1/6 binary64)))) x)
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) #s(approx (+ (* x (* (* y y) 1/6)) 1/2) (.f64 (.f64 y y) (*.f64 x #s(literal 1/6 binary64)))) x) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) #s(approx (+ (* x (* (* y y) 1/6)) 1/2) (.f64 (.f64 y y) (*.f64 x #s(literal 1/6 binary64)))) x) #s(literal 1 binary64)))

Rules

4 700×	`lower-fma.f32`
4 684×	`lower-fma.f64`
3 106×	`associate-r`
3 078×	`lower-*.f32`
3 054×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	491
0	74	483
1	178	483
2	463	463
3	1458	451
4	2192	441
5	2451	441
6	2584	441
7	2770	441
8	2864	441
9	2900	441
10	2988	441
11	2988	441
12	2988	441
13	4666	441
14	4745	441
15	4762	441
16	4762	441
17	4925	441
0	4925	417

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize148.0ms (0.5%)

Memory

-47.3MiB live, 174.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	6.18884370705837	(.f64 x (.f64 (*.f64 y y) #s(literal 1/2 binary64)))
accuracy	6.421237438843375	(.f64 x (.f64 y y))
accuracy	14.258005373187443	(fma.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 x (.f64 y y)))) (fma.f64 x (.f64 x (.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))
accuracy	17.835054523215483	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 x (.f64 y y)))) (fma.f64 x (.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64))) x)) #s(literal 1 binary64)))
accuracy	3.3437990733556866	(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
accuracy	6.18884370705837	(.f64 x (.f64 (*.f64 y y) #s(literal 1/2 binary64)))
accuracy	7.410983291010207	(fma.f64 (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)))) x (fma.f64 x (.f64 y y) #s(literal 1 binary64)))
accuracy	19.029267380982173	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)))) x (fma.f64 x (.f64 y y) #s(literal 1 binary64))))
accuracy	3.704439060996858	(.f64 x (.f64 x (*.f64 y y)))
accuracy	6.421237438843375	(.f64 x (.f64 y y))
accuracy	19.029267380982173	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))))
accuracy	34.19030804385573	#s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x (.f64 x (.f64 y y)))))
accuracy	0	(fma.f64 x y #s(literal 1 binary64))
accuracy	23.312869679793337	#s(approx (exp (* x y)) (fma.f64 x y #s(literal 1 binary64)))
accuracy	6.412180415709555	(.f64 (.f64 y y) (*.f64 x #s(literal 1/6 binary64)))
accuracy	6.421237438843375	(.f64 x (.f64 y y))
accuracy	17.835054523215483	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) #s(approx (+ (* x (* (* y y) 1/6)) 1/2) (.f64 (.f64 y y) (*.f64 x #s(literal 1/6 binary64)))) x) #s(literal 1 binary64)))
accuracy	34.35454044762919	#s(approx (+ (* x (* (* y y) 1/6)) 1/2) (.f64 (.f64 y y) (*.f64 x #s(literal 1/6 binary64))))

Samples

87.0ms

256×

valid

Compiler

Compiled 348 to 44 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 46.0ms (69.3% of total)

ival-add: 12.0ms (18.1% of total)

ival-exp: 4.0ms (6% of total)

const: 4.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

series31.0ms (0.1%)

Memory

7.0MiB live, 42.9MiB allocated

Counts

22 → 504

Calls

Call 1

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

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

Calls

126 calls:

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

simplify422.0ms (1.5%)

Memory

29.9MiB live, 340.0MiB allocated

Algorithm

1×	egg-herbie

Rules

15 866×	`lower-fma.f64`
15 866×	`lower-fma.f32`
4 218×	`lower-*.f64`
4 218×	`lower-*.f32`
3 742×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	4748
1	663	4738
2	2061	4634
3	4386	4594
0	8405	4288

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 500

Calls

Call 1

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

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

rewrite345.0ms (1.2%)

Memory

2.9MiB live, 442.2MiB allocated

Rules

9 944×	`lower-fma.f32`
9 928×	`lower-fma.f64`
4 712×	`lower-*.f32`
4 688×	`lower-*.f64`
2 838×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	395
0	74	387
1	305	351
2	2139	351
0	8226	333

Stop Event

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

Counts

22 → 463

Calls

Call 1

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

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

eval212.0ms (0.8%)

Memory: 17.6MiB live, 285.1MiB allocated
Compiler: Compiled 42 870 to 1 611 computations (96.2% saved)

prune326.0ms (1.2%)

Memory

-36.2MiB live, 377.5MiB allocated

Pruning

24 alts after pruning (16 fresh and 8 done)

	Pruned	Kept	Total
New	1 335	10	1 345
Fresh	6	6	12
Picked	3	2	5
Done	0	6	6
Total	1 344	24	1 368

Accuracy

100.0%

Counts

1 368 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	87.1%	(exp.f64 (*.f64 x y))
	66.7%	(exp.f64 y)
	62.9%	(exp.f64 x)
▶	72.7%	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 #s(approx (+ (* x (* (* y y) 1/6)) 1/2) (.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)))) (.f64 x (.f64 x (.f64 y y))) x) (*.f64 y y) #s(literal 1 binary64)))
	69.8%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/2 binary64))) x) x (fma.f64 x (.f64 y y) #s(literal 1 binary64))))
	70.9%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)))) x #s(approx (+ ( x (* y y)) 1) #s(literal 1 binary64))))
▶	58.9%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (.f64 x (.f64 x (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x) #s(literal 1 binary64)))
✓	72.9%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
✓	71.0%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
	71.2%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* (* y y) 1/6) (* x (* x (* x (* y y))))) (+ (* x (* x (* (* y y) 1/2))) x)) (.f64 (.f64 y y) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (*.f64 y y))))))) #s(literal 1 binary64)))
	68.3%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 x y) y #s(literal 1 binary64)))
✓	69.7%	#s(approx (exp (* (* x y) y)) (fma.f64 x (*.f64 y y) #s(literal 1 binary64)))
	18.3%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 y (.f64 (.f64 y (.f64 x (.f64 y y))) #s(literal 1/2 binary64))) x)))
	18.7%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y)))))
▶	18.2%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 (.f64 (.f64 x x) y) y))))
✓	17.9%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))))
	16.6%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* x (* y y)) 1) (.f64 x (.f64 y y))))
✓	56.0%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
	58.6%	#s(approx (exp (* x y)) (fma.f64 y (fma.f64 y (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) #s(literal 1 binary64)))
	63.9%	#s(approx (exp (* x y)) (fma.f64 x (fma.f64 (.f64 y y) (.f64 x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))
▶	65.5%	#s(approx (exp (* x y)) (fma.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)))
✓	57.6%	#s(approx (exp (* x y)) (fma.f64 x y #s(literal 1 binary64)))
▶	11.2%	#s(approx (exp (* x y)) #s(approx (+ (* x y) 1) (*.f64 x y)))

Compiler

Compiled 636 to 322 computations (49.4% saved)

simplify636.0ms (2.3%)

Memory

19.2MiB live, 575.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 (.f64 y y) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (.f64 x (.f64 x (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (.f64 x (.f64 x (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x) #s(literal 1 binary64)))
cost-diff	320	(fma.f64 (.f64 (fma.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (.f64 x (.f64 x (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x)
cost-diff	0	(.f64 (.f64 y y) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 x (.f64 (.f64 y y) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) y #s(literal 1/2 binary64))) y)
cost-diff	0	(fma.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* x y)) (fma.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 y y))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 (.f64 (.f64 x x) y) y))
cost-diff	0	#s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 (.f64 (.f64 x x) y) y)))
cost-diff	0	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 (.f64 (.f64 x x) y) y))))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (+ (* x y) 1) (*.f64 x y))
cost-diff	0	#s(approx (exp (* x y)) #s(approx (+ (* x y) 1) (*.f64 x y)))
cost-diff	0	#s(approx (+ (* x (* (* y y) 1/6)) 1/2) (.f64 x (.f64 (*.f64 y y) #s(literal 1/6 binary64))))
cost-diff	0	(fma.f64 #s(approx (+ (* x (* (* y y) 1/6)) 1/2) (.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)))) (.f64 x (.f64 x (.f64 y y))) x)
cost-diff	0	(fma.f64 (fma.f64 #s(approx (+ (* x (* (* y y) 1/6)) 1/2) (.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)))) (.f64 x (.f64 x (.f64 y y))) x) (*.f64 y y) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 #s(approx (+ (* x (* (* y y) 1/6)) 1/2) (.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)))) (.f64 x (.f64 x (.f64 y y))) x) (*.f64 y y) #s(literal 1 binary64)))

Rules

18 588×	`lower-fma.f32`
18 570×	`lower-fma.f64`
8 468×	`lower-+.f64`
8 468×	`lower-+.f32`
7 240×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	577
0	95	577
1	203	574
2	560	554
3	2021	532
4	3929	532
5	6306	532
6	6741	532
7	6869	532
8	6869	532
9	6869	532
10	7895	532
11	7915	532
12	7923	532
13	7923	532
0	11148	519

Stop Event

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

Calls

Call 1

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

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

localize254.0ms (0.9%)

Memory

18.6MiB live, 285.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	3.704439060996859	(.f64 x (.f64 x (*.f64 y y)))
accuracy	6.421237438843377	(.f64 x (.f64 y y))
accuracy	15.789992807008648	(fma.f64 (.f64 (fma.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (.f64 x (.f64 x (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x)
accuracy	17.835054523215483	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (.f64 x (.f64 x (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x) #s(literal 1 binary64)))
accuracy	1.102840517023936	(.f64 (.f64 y y) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)))
accuracy	1.6481195002465963	(fma.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64))
accuracy	3.6366020133628565	(fma.f64 x (.f64 (.f64 y y) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) y #s(literal 1/2 binary64))) y)
accuracy	18.904246224710246	#s(approx (exp (* x y)) (fma.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)))
accuracy	5.559740169272068	(.f64 (.f64 (*.f64 x x) y) y)
accuracy	6.601908092385539	(.f64 (.f64 x x) y)
accuracy	19.029267380982173	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 (.f64 (.f64 x x) y) y))))
accuracy	34.19030804385573	#s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 (.f64 (.f64 x x) y) y)))
accuracy	0	(*.f64 x y)
accuracy	23.312869679793337	#s(approx (exp (* x y)) #s(approx (+ (* x y) 1) (*.f64 x y)))
accuracy	34.22414816042254	#s(approx (+ (* x y) 1) (*.f64 x y))
accuracy	6.176075883433571	(.f64 x (.f64 (*.f64 y y) #s(literal 1/6 binary64)))
accuracy	6.421237438843377	(.f64 x (.f64 y y))
accuracy	17.835054523215483	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 #s(approx (+ (* x (* (* y y) 1/6)) 1/2) (.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)))) (.f64 x (.f64 x (.f64 y y))) x) (*.f64 y y) #s(literal 1 binary64)))
accuracy	34.35454044762919	#s(approx (+ (* x (* (* y y) 1/6)) 1/2) (.f64 x (.f64 (*.f64 y y) #s(literal 1/6 binary64))))

Samples

156.0ms

256×

valid

Compiler

Compiled 427 to 54 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-mult: 40.0ms (31.1% of total)

ival-div: 39.0ms (30.3% of total)

ival-add: 39.0ms (30.3% of total)

const: 6.0ms (4.7% of total)

ival-exp: 4.0ms (3.1% of total)

exact: 1.0ms (0.8% of total)

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

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

series63.0ms (0.2%)

Memory

-3.0MiB live, 77.7MiB allocated

Counts

24 → 552

Calls

Call 1

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

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

Calls

138 calls:

Time	Variable		Point	Expression
24.0ms	y	@	inf	(+ (* x (* (* y y) (+ (* (* x 1/6) y) 1/2))) y)
3.0ms	x	@	-inf	(+ (* x (+ (* x (* (* y y) (+ (* (* x 1/6) y) 1/2))) y)) 1)
1.0ms	y	@	inf	(+ (* (* (+ (* (* (* x y) (* y (* x (* y y)))) 1/36) -1/4) (* x (* x (* y y)))) (/ 1 (+ (* x (* (* y y) 1/6)) -1/2))) x)
1.0ms	x	@	0	(+ (* (* (+ (* (* (* x y) (* y (* x (* y y)))) 1/36) -1/4) (* x (* x (* y y)))) (/ 1 (+ (* x (* (* y y) 1/6)) -1/2))) x)
1.0ms	x	@	inf	(+ (* (* (+ (* (* (* x y) (* y (* x (* y y)))) 1/36) -1/4) (* x (* x (* y y)))) (/ 1 (+ (* x (* (* y y) 1/6)) -1/2))) x)

simplify398.0ms (1.4%)

Memory

-5.4MiB live, 528.4MiB allocated

Algorithm

1×	egg-herbie

Rules

22 566×	`lower-fma.f64`
22 566×	`lower-fma.f32`
6 200×	`lower-*.f64`
6 200×	`lower-*.f32`
3 856×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	331	5312
1	1115	5261
2	3771	5113
0	8365	4788

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 546

Calls

Call 1

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

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

rewrite408.0ms (1.5%)

Memory

-3.2MiB live, 480.7MiB allocated

Rules

8 588×	`lower-fma.f32`
8 570×	`lower-fma.f64`
5 576×	`lower-*.f32`
5 544×	`lower-*.f64`
3 994×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	438
0	95	435
1	358	361
2	2559	361
0	9425	345

Stop Event

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

Counts

24 → 419

Calls

Call 1

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

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

eval518.0ms (1.8%)

Memory: -14.7MiB live, 425.1MiB allocated
Compiler: Compiled 39 163 to 1 682 computations (95.7% saved)

prune530.0ms (1.9%)

Memory

0.9MiB live, 712.1MiB allocated

Pruning

25 alts after pruning (15 fresh and 10 done)

	Pruned	Kept	Total
New	1 229	8	1 237
Fresh	4	7	11
Picked	2	3	5
Done	1	7	8
Total	1 236	25	1 261

Accuracy

100.0%

Counts

1 261 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	87.1%	(exp.f64 (*.f64 x y))
	66.7%	(exp.f64 y)
	62.9%	(exp.f64 x)
✓	72.7%	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 #s(approx (+ (* x (* (* y y) 1/6)) 1/2) (.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)))) (.f64 x (.f64 x (.f64 y y))) x) (*.f64 y y) #s(literal 1 binary64)))
	69.8%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/2 binary64))) x) x (fma.f64 x (.f64 y y) #s(literal 1 binary64))))
✓	58.9%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (.f64 x (.f64 x (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x) #s(literal 1 binary64)))
✓	72.9%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
✓	71.0%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
	71.2%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* (* y y) 1/6) (* x (* x (* x (* y y))))) (+ (* x (* x (* (* y y) 1/2))) x)) (.f64 (.f64 y y) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (*.f64 y y))))))) #s(literal 1 binary64)))
	68.3%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 x y) y #s(literal 1 binary64)))
✓	69.7%	#s(approx (exp (* (* x y) y)) (fma.f64 x (*.f64 y y) #s(literal 1 binary64)))
	23.4%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 y (.f64 (.f64 y (.f64 x x)) #s(literal 1/2 binary64))) y) y)))
	18.3%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) (.f64 x (.f64 y y))) x)))
	18.7%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 x (.f64 x #s(literal 1/2 binary64))))))
	16.6%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* x (* y y)) 1) (.f64 x (.f64 y y))))
✓	56.0%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
	65.4%	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 y y) (.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x y) #s(literal 1/2 binary64))) y) x #s(literal 1 binary64)))
	63.9%	#s(approx (exp (* x y)) (fma.f64 x (fma.f64 (.f64 y y) (.f64 x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))
	65.5%	#s(approx (exp (* x y)) (fma.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)))
	70.6%	#s(approx (exp (* x y)) (fma.f64 x #s(approx (+ (* x (* (* y y) (+ (* (* x 1/6) y) 1/2))) y) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 y (*.f64 y y)))))) #s(literal 1 binary64)))
✓	57.6%	#s(approx (exp (* x y)) (fma.f64 x y #s(literal 1 binary64)))
	18.0%	#s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) (+ (* (* x 1/6) y) 1/2))) y)) 1) (.f64 (.f64 y y) (.f64 y (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))))))
	17.4%	#s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) (+ (* (* x 1/6) y) 1/2))) y)) 1) (.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 y y) (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
✓	11.2%	#s(approx (exp (* x y)) #s(approx (+ (* x y) 1) (*.f64 x y)))

Compiler

Compiled 1 005 to 327 computations (67.5% saved)

regimes49.0ms (0.2%)

Memory

13.6MiB live, 98.1MiB allocated

Counts

41 → 1

Calls

Call 1

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

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

Results

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes50.0ms (0.2%)

Memory

4.3MiB live, 79.0MiB allocated

Counts

40 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

15.0ms	x
12.0ms	y
10.0ms	(.f64 (.f64 x y) y)
9.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
89.3%	2	`x`
92.8%	2	`y`
93.3%	2	`(exp.f64 (.f64 (.f64 x y) y))`
93.3%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes47.0ms (0.2%)

Memory

3.2MiB live, 86.0MiB allocated

Counts

39 → 2

Calls

Call 1

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

Outputs

(exp.f64 x)

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
77.2%	2	`x`
82.2%	2	`y`
86.5%	2	`(.f64 (.f64 x y) y)`
86.5%	2	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes33.0ms (0.1%)

Memory

4.9MiB live, 43.6MiB 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 (+ (* x y) 1) (*.f64 x y)))
#s(approx (exp (* x y)) (fma.f64 x y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* x (* y y)) 1) (.f64 x (.f64 y y))))
#s(approx (exp (* (* x y) y)) (fma.f64 x (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 x y) y #s(literal 1 binary64)))
#s(approx (exp (* x y)) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 y y)) y) #s(literal 1 binary64)))
#s(approx (exp (* x y)) (fma.f64 x (fma.f64 (.f64 y y) (.f64 x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))
#s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) (+ (* (* x 1/6) y) 1/2))) y)) 1) (.f64 (.f64 y y) (.f64 y (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 (.f64 (.f64 x x) y) y))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y)))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 y (.f64 (.f64 y (.f64 x (.f64 y y))) #s(literal 1/2 binary64))) x)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 x (.f64 x #s(literal 1/2 binary64))))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) (.f64 x (.f64 y y))) x)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 y (.f64 (.f64 y (.f64 x x)) #s(literal 1/2 binary64))) y) y)))
#s(approx (exp (* x y)) (fma.f64 x #s(approx (+ (* x (* (* y y) (+ (* (* x 1/6) y) 1/2))) y) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 y (*.f64 y y)))))) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 y (.f64 y (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 y y))) x)))))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)))) x #s(approx (+ ( x (* y y)) 1) #s(literal 1 binary64))))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
#s(approx (exp (* x y)) (fma.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)))
#s(approx (exp (* x y)) (fma.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)))
#s(approx (exp (* x y)) (fma.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 y y) (.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x y) #s(literal 1/2 binary64))) y) x #s(literal 1 binary64)))
#s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* (* y y) (+ (* (* x 1/6) y) 1/2))) y)) 1) (.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 y y) (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)))) x (fma.f64 x (.f64 y y) #s(literal 1 binary64))))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/2 binary64))) x) x (fma.f64 x (.f64 y y) #s(literal 1 binary64))))
#s(approx (exp (* x y)) (fma.f64 y (fma.f64 y (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* x (* x (* y y))) (+ (* x (* (* y y) 1/6)) 1/2)) x) (.f64 (.f64 y y) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (*.f64 y y))))))) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* (* y y) 1/6) (* x (* x (* x (* y y))))) (+ (* x (* x (* (* y y) 1/2))) x)) (.f64 (.f64 y y) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (*.f64 y y))))))) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 y y) (.f64 y y)) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) (/.f64 x (.f64 y y))))))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) #s(approx (+ (* x (* (* y y) 1/6)) 1/2) (.f64 (.f64 y y) (*.f64 x #s(literal 1/6 binary64)))) x) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 #s(approx (+ (* x (* (* y y) 1/6)) 1/2) (.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)))) (.f64 x (.f64 x (.f64 y y))) x) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 x (.f64 y y)))) (fma.f64 x (.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64))) x)) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (.f64 x (.f64 x (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x) #s(literal 1 binary64)))

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
76.7%	2	`y`
78.2%	2	`(exp.f64 (.f64 (.f64 x y) y))`
78.2%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes35.0ms (0.1%)

Memory

-7.1MiB live, 31.2MiB allocated

Counts

34 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

23.0ms	(exp.f64 (.f64 (.f64 x y) y))
9.0ms	(.f64 (.f64 x y) y)

Results

Accuracy	Segments	Branch
78.1%	2	`(.f64 (.f64 x y) y)`
78.1%	2	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes30.0ms (0.1%)

Memory

-3.1MiB live, 39.6MiB allocated

Counts

32 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
71.2%	1	`x`
78.6%	3	`(.f64 (.f64 x y) y)`
78.6%	3	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes18.0ms (0.1%)

Memory

-17.2MiB live, 21.4MiB allocated

Counts

29 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
76.7%	2	`(exp.f64 (.f64 (.f64 x y) y))`
76.7%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes23.0ms (0.1%)

Memory

29.6MiB live, 29.6MiB allocated

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
74.8%	2	`y`
78.2%	3	`(exp.f64 (.f64 (.f64 x y) y))`
78.2%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes31.0ms (0.1%)

Memory

-22.9MiB live, 15.8MiB allocated

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

24.0ms	(exp.f64 (.f64 (.f64 x y) y))
6.0ms	(.f64 (.f64 x y) y)

Results

Accuracy	Segments	Branch
78.1%	3	`(exp.f64 (.f64 (.f64 x y) y))`
78.1%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes10.0ms (0%)

Memory

18.0MiB live, 18.0MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
77.6%	3	`(exp.f64 (.f64 (.f64 x y) y))`
77.6%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes21.0ms (0.1%)

Memory

0.6MiB live, 38.5MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
69.7%	1	`x`
69.7%	1	`y`
72.3%	2	`(exp.f64 (.f64 (.f64 x y) y))`
72.3%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes21.0ms (0.1%)

Memory

-27.9MiB live, 20.7MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	y
4.0ms	(.f64 (.f64 x y) y)
3.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

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

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes8.0ms (0%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
69.7%	2	`(.f64 (.f64 x y) y)`
69.7%	2	`(exp.f64 (.f64 (.f64 x y) y))`
62.1%	2	`x`
67.9%	2	`y`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes6.0ms (0%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
64.0%	2	`y`
64.2%	2	`(.f64 (.f64 x y) y)`
64.2%	2	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes3.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
64.2%	2	`(.f64 (.f64 x y) y)`
64.2%	2	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes8.0ms (0%)

Memory

-25.6MiB live, 12.0MiB 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:

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

Results

Accuracy	Segments	Branch
56.0%	1	`x`
56.0%	1	`y`
56.0%	1	`(exp.f64 (.f64 (.f64 x y) y))`
56.0%	1	`(.f64 (.f64 x y) y)`

Compiler

Compiled 21 to 13 computations (38.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999999999377921

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999999999377921

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999999999377921

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999999999377921

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.616962309087552e-5	1365873.0274505245
0.0ms	-565135031272510.0	-29709495660.922874

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.595410007060392e+27	-565135031272510.0

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.953277880714159e+40	1.786228358674651e+73
0.0ms	-565135031272510.0	-29709495660.922874

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.953277880714159e+40	1.786228358674651e+73
0.0ms	-8.595410007060392e+27	-565135031272510.0

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.616962309087552e-5	1365873.0274505245
0.0ms	-8.595410007060392e+27	-565135031272510.0

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000261699655184	+inf

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000261699655184	+inf

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000261699655184	+inf

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	68663678484940.44	1.9499550570785807e+20

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify17.0ms (0.1%)

Memory

-6.2MiB live, 31.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	936
1	152	936

Stop Event

1×

saturated

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 x y) y))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 0 binary64)) (exp.f64 (.f64 x y)) #s(approx (exp ( (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 0 binary64)) (exp.f64 x) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 0 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 y (.f64 (.f64 y (.f64 x x)) #s(literal 1/2 binary64))) y) y))) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 0 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 y (.f64 (.f64 y (.f64 x x)) #s(literal 1/2 binary64))) y) y))) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) #s(approx (+ (* x (* (* y y) 1/6)) 1/2) (.f64 (.f64 y y) (*.f64 x #s(literal 1/6 binary64)))) x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -500000000000000 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 y (.f64 (.f64 y (.f64 x x)) #s(literal 1/2 binary64))) y) y))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* x (* x (* y y))) (+ (* x (* (* y y) 1/6)) 1/2)) x) (.f64 (.f64 y y) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (*.f64 y y))))))) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -4999999999999999791559868416 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 y (.f64 (.f64 y (.f64 x x)) #s(literal 1/2 binary64))) y) y))) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)))) x (fma.f64 x (.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -500000000000000 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 y (.f64 (.f64 y (.f64 x x)) #s(literal 1/2 binary64))) y) y))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 50000000000000000310004322520389159747584 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) #s(approx (exp (* x y)) (fma.f64 x #s(approx (+ (* x (* (* y y) (+ (* (* x 1/6) y) 1/2))) y) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 y (*.f64 y y)))))) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -4999999999999999791559868416 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 y (.f64 (.f64 y (.f64 x x)) #s(literal 1/2 binary64))) y) y))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 50000000000000000310004322520389159747584 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 x (.f64 y y) #s(literal 1 binary64))) #s(approx (exp ( x y)) (fma.f64 x #s(approx (+ (* x (* (* y y) (+ (* (* x 1/6) y) 1/2))) y) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 y (*.f64 y y)))))) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -4999999999999999791559868416 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 y (.f64 (.f64 y (.f64 x x)) #s(literal 1/2 binary64))) y) y))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 x (.f64 y y) #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y)))))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 x y) y #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y))))))
#s(approx (exp (* (* x y) y)) (fma.f64 x (*.f64 y y) #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* x (* y y)) 1) (.f64 x (.f64 y y)))))
(if (<=.f64 (exp.f64 (.f64 (.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 x y #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 100000000000000 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x y) 1) (*.f64 x y))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Outputs
(exp.f64 (.f64 (.f64 x y) y))
(exp.f64 (.f64 y (.f64 x y)))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 0 binary64)) (exp.f64 (.f64 x y)) #s(approx (exp ( (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (.f64 y (.f64 x y))) #s(literal 0 binary64)) (exp.f64 (.f64 x y)) #s(approx (exp ( (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 0 binary64)) (exp.f64 x) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (.f64 y (.f64 x y))) #s(literal 0 binary64)) (exp.f64 x) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 0 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 y (.f64 (.f64 y (.f64 x x)) #s(literal 1/2 binary64))) y) y))) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (.f64 y (.f64 x y))) #s(literal 0 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 y (.f64 y (.f64 y (.f64 #s(literal 1/2 binary64) (.f64 y (.f64 x x)))))))) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 0 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 y (.f64 (.f64 y (.f64 x x)) #s(literal 1/2 binary64))) y) y))) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) #s(approx (+ (* x (* (* y y) 1/6)) 1/2) (.f64 (.f64 y y) (*.f64 x #s(literal 1/6 binary64)))) x) #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (.f64 y (.f64 x y))) #s(literal 0 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 y (.f64 y (.f64 y (.f64 #s(literal 1/2 binary64) (.f64 y (.f64 x x)))))))) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) #s(approx (+ (* x (* (* y y) 1/6)) 1/2) (.f64 (.f64 y y) (*.f64 x #s(literal 1/6 binary64)))) x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -500000000000000 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 y (.f64 (.f64 y (.f64 x x)) #s(literal 1/2 binary64))) y) y))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* x (* x (* y y))) (+ (* x (* (* y y) 1/6)) 1/2)) x) (.f64 (.f64 y y) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (*.f64 y y))))))) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal -500000000000000 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 y (.f64 y (.f64 y (.f64 #s(literal 1/2 binary64) (.f64 y (.f64 x x)))))))) (if (<=.f64 (.f64 y (.f64 x y)) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* x (* x (* y y))) (+ (* x (* (* y y) 1/6)) 1/2)) x) (.f64 (.f64 y y) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (*.f64 y y))))))) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -4999999999999999791559868416 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 y (.f64 (.f64 y (.f64 x x)) #s(literal 1/2 binary64))) y) y))) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)))) x (fma.f64 x (.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal -4999999999999999791559868416 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 y (.f64 y (.f64 y (.f64 #s(literal 1/2 binary64) (.f64 y (.f64 x x)))))))) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)))) x (fma.f64 x (.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -500000000000000 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 y (.f64 (.f64 y (.f64 x x)) #s(literal 1/2 binary64))) y) y))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 50000000000000000310004322520389159747584 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) #s(approx (exp (* x y)) (fma.f64 x #s(approx (+ (* x (* (* y y) (+ (* (* x 1/6) y) 1/2))) y) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 y (*.f64 y y)))))) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal -500000000000000 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 y (.f64 y (.f64 y (.f64 #s(literal 1/2 binary64) (.f64 y (.f64 x x)))))))) (if (<=.f64 (.f64 y (.f64 x y)) #s(literal 50000000000000000310004322520389159747584 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) #s(approx (exp (* x y)) (fma.f64 x #s(approx (+ (* x (* (* y y) (+ (* (* x 1/6) y) 1/2))) y) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 y (*.f64 y y)))))) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -4999999999999999791559868416 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 y (.f64 (.f64 y (.f64 x x)) #s(literal 1/2 binary64))) y) y))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 50000000000000000310004322520389159747584 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 x (.f64 y y) #s(literal 1 binary64))) #s(approx (exp ( x y)) (fma.f64 x #s(approx (+ (* x (* (* y y) (+ (* (* x 1/6) y) 1/2))) y) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 y (*.f64 y y)))))) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal -4999999999999999791559868416 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 y (.f64 y (.f64 y (.f64 #s(literal 1/2 binary64) (.f64 y (.f64 x x)))))))) (if (<=.f64 (.f64 y (.f64 x y)) #s(literal 50000000000000000310004322520389159747584 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 x (.f64 y y) #s(literal 1 binary64))) #s(approx (exp ( x y)) (fma.f64 x #s(approx (+ (* x (* (* y y) (+ (* (* x 1/6) y) 1/2))) y) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 y (*.f64 y y)))))) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -4999999999999999791559868416 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 (.f64 y (.f64 (.f64 y (.f64 x x)) #s(literal 1/2 binary64))) y) y))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 x (.f64 y y) #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y)))))))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal -4999999999999999791559868416 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 y (.f64 y (.f64 y (.f64 #s(literal 1/2 binary64) (.f64 y (.f64 x x)))))))) (if (<=.f64 (.f64 y (.f64 x y)) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 x (.f64 y y) #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/2 binary64))))))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 x y) y #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y))))))
(if (<=.f64 (exp.f64 (.f64 y (.f64 x y))) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 x y) y #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/2 binary64)))))))
#s(approx (exp (* (* x y) y)) (fma.f64 x (*.f64 y y) #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* x (* y y)) 1) (.f64 x (.f64 y y)))))
(if (<=.f64 (exp.f64 (.f64 y (.f64 x y))) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* x (* y y)) 1) (.f64 x (.f64 y y)))))
(if (<=.f64 (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 x y #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (.f64 y (.f64 x y))) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) (fma.f64 x y #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 100000000000000 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x y) 1) (*.f64 x y))))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal 100000000000000 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x y) 1) (*.f64 x y))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

soundness20.5s (72.9%)

Memory

15.3MiB live, 1 334.4MiB allocated

Rules

22 566×	`lower-fma.f64`
22 566×	`lower-fma.f32`
15 866×	`lower-fma.f64`
15 866×	`lower-fma.f32`
13 146×	`lower-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	380
1	120	380
2	329	380
3	810	380
4	1104	380
5	1231	380
6	1311	380
7	1334	380
8	1348	380
9	2635	380
10	3226	380
11	4017	380
12	4965	380
13	4986	380
14	4986	380
15	5212	380
16	5212	380
17	5212	380
18	5212	380
19	6612	380
20	6612	380
0	6612	368
0	5	14
0	8	16
1	14	16
2	29	16
3	92	16
4	482	3
5	3914	3
0	9072	3
0	205	4748
1	663	4738
2	2061	4634
3	4386	4594
0	8405	4288
0	25	172
0	43	172
1	166	172
2	1257	161
0	8121	158
0	46	395
0	74	387
1	305	351
2	2139	351
0	8226	333
0	194	2996
1	639	2996
2	2014	2932
3	5690	2924
0	8385	2714
0	331	5312
1	1115	5261
2	3771	5113
0	8365	4788
0	57	438
0	95	435
1	358	361
2	2559	361
0	9425	345

Stop Event

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

Compiler

Compiled 1 008 to 357 computations (64.6% saved)

preprocess124.0ms (0.4%)

Memory: 6.8MiB live, 204.0MiB allocated
Remove: (abs y)
Compiler: Compiled 1 134 to 188 computations (83.4% 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%)

analyze1.0ms (0%)

sample549.0ms (2%)

explain94.0ms (0.3%)

preprocess26.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize21.0ms (0.1%)

series6.0ms (0%)

simplify172.0ms (0.6%)

rewrite51.0ms (0.2%)

eval7.0ms (0%)

prune13.0ms (0%)

simplify226.0ms (0.8%)

localize83.0ms (0.3%)

series25.0ms (0.1%)

simplify291.0ms (1%)

rewrite321.0ms (1.1%)

eval243.0ms (0.9%)

prune479.0ms (1.7%)

simplify178.0ms (0.6%)

localize148.0ms (0.5%)

series31.0ms (0.1%)

simplify422.0ms (1.5%)

rewrite345.0ms (1.2%)

eval212.0ms (0.8%)

prune326.0ms (1.2%)

simplify636.0ms (2.3%)

localize254.0ms (0.9%)

series63.0ms (0.2%)

simplify398.0ms (1.4%)

rewrite408.0ms (1.5%)

eval518.0ms (1.8%)

prune530.0ms (1.9%)

regimes49.0ms (0.2%)

regimes50.0ms (0.2%)

regimes47.0ms (0.2%)

regimes33.0ms (0.1%)

regimes35.0ms (0.1%)

regimes30.0ms (0.1%)

regimes18.0ms (0.1%)

regimes23.0ms (0.1%)

regimes31.0ms (0.1%)

regimes10.0ms (0%)

regimes21.0ms (0.1%)

regimes21.0ms (0.1%)

regimes8.0ms (0%)

regimes6.0ms (0%)

regimes3.0ms (0%)

regimes8.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify17.0ms (0.1%)

soundness20.5s (72.9%)

preprocess124.0ms (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