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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample615.0ms (2.4%)

Memory

9.9MiB live, 1 116.4MiB allocated

Samples

422.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 193.0ms

ival-mult: 124.0ms (64.3% of total)

ival-exp: 60.0ms (31.1% of total)

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

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

Bogosity

explain61.0ms (0.2%)

Memory

-35.4MiB live, 165.6MiB 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

22.0ms

512×

valid

Compiler

Compiled 44 to 19 computations (56.8% saved)

Precisions

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

ival-mult: 7.0ms (63.8% of total)

ival-exp: 4.0ms (36.5% of total)

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

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

preprocess24.0ms (0.1%)

Memory

18.4MiB live, 58.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

Compiler

Compiled 8 to 5 computations (37.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify4.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize47.0ms (0.2%)

Memory

-5.4MiB live, 33.7MiB 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	0.140625	(.f64 (.f64 x y) y)

Samples

41.0ms

256×

valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (56.2% of total)

ival-exp: 2.0ms (37.5% of total)

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

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

series6.0ms (0%)

Memory

14.4MiB live, 14.4MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

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

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

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

Calls

18 calls:

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

simplify141.0ms (0.5%)

Memory

-7.3MiB live, 72.0MiB 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 (*.f64 y y) x #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) y #s(literal 1 binary64)) y) (.f64 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 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64))
(exp (* x (pow y 2)))
(exp.f64 (.f64 (.f64 y y) x))
(exp (* x (pow y 2)))
(exp.f64 (.f64 (.f64 y y) x))
(exp (* x (pow y 2)))
(exp.f64 (.f64 (.f64 y y) x))
(exp (* x (pow y 2)))
(exp.f64 (.f64 (.f64 y y) x))
(exp (* x (pow y 2)))
(exp.f64 (.f64 (.f64 y y) x))
(exp (* x (pow y 2)))
(exp.f64 (.f64 (.f64 y y) x))
(exp (* x (pow y 2)))
(exp.f64 (.f64 (.f64 y y) x))
(exp (* x (pow y 2)))
(exp.f64 (.f64 (.f64 y y) x))
1
#s(literal 1 binary64)
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) y #s(literal 1 binary64)) y) (.f64 y 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 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64))
(exp (* x (pow y 2)))
(exp.f64 (.f64 (.f64 y y) x))
(exp (* x (pow y 2)))
(exp.f64 (.f64 (.f64 y y) x))
(exp (* x (pow y 2)))
(exp.f64 (.f64 (.f64 y y) x))
(exp (* x (pow y 2)))
(exp.f64 (.f64 (.f64 y y) x))
(exp (* x (pow y 2)))
(exp.f64 (.f64 (.f64 y y) x))
(exp (* x (pow y 2)))
(exp.f64 (.f64 (.f64 y y) x))
(exp (* x (pow y 2)))
(exp.f64 (.f64 (.f64 y y) x))
(exp (* x (pow y 2)))
(exp.f64 (.f64 (.f64 y y) x))
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

rewrite49.0ms (0.2%)

Memory

-12.3MiB live, 63.7MiB allocated

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

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

Counts

3 → 7

Calls

Call 1

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

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

eval7.0ms (0%)

Memory: 17.7MiB live, 17.7MiB allocated
Compiler: Compiled 565 to 32 computations (94.3% saved)

prune24.0ms (0.1%)

Memory

-5.9MiB live, 34.0MiB 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))
▶	84.6%	(exp.f64 (*.f64 x y))
	67.7%	(exp.f64 y)
	60.2%	(exp.f64 x)
▶	75.5%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64)))
▶	72.6%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) y #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64)))
▶	68.3%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
▶	48.9%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 148 to 87 computations (41.2% saved)

simplify331.0ms (1.3%)

Memory

28.6MiB live, 257.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

43 948×	`lower-fma.f32`
43 936×	`lower-fma.f64`
5 432×	`lower-+.f64`
5 432×	`lower-+.f32`
3 820×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	228
0	50	228
1	95	228
2	197	228
3	510	222
4	1378	222
5	2410	222
6	3346	222
7	3718	222
8	3741	222
9	3741	222
10	5531	222
11	5531	222
12	5531	222
13	7501	222
14	7743	222
15	7751	222
16	7751	222
0	8839	216

Stop Event

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

Calls

Call 1

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

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

localize91.0ms (0.3%)

Memory

-16.5MiB live, 145.6MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.4877199639789195	(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64))
accuracy	1.2602337924491547	(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (*.f64 y x) #s(literal 1/2 binary64)) x)
accuracy	3.0765434177472306	(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64))
accuracy	16.353420853237846	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64)))
accuracy	0.0546875	(.f64 (fma.f64 (.f64 (*.f64 #s(literal 1/2 binary64) y) x) y #s(literal 1 binary64)) y)
accuracy	0.07421875	(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) y #s(literal 1 binary64))
accuracy	0.4997166618017567	(fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) y #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64))
accuracy	18.024042487032034	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) y #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64)))
accuracy	0	(*.f64 y y)
accuracy	4.724743672094485	(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
accuracy	23.13344753258619	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
accuracy	32.6887518676688	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
accuracy	0	(*.f64 x y)
accuracy	0.006191259768442017	(exp.f64 (*.f64 x y))

Samples

57.0ms

256×

valid

Compiler

Compiled 196 to 31 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 26.0ms (65.6% of total)

ival-add: 6.0ms (15.1% of total)

ival-exp: 4.0ms (10.1% of total)

const: 4.0ms (10.1% of total)

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

exact: 0.0ms (0% of total)

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

series37.0ms (0.1%)

Memory

-2.4MiB live, 33.3MiB 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 (.f64 y y) x #s(literal 1 binary64))) (patch #s(approx (exp ( (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 y y) x #s(literal 1 binary64)) (patch (fma.f64 (.f64 y y) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())
#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) y #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64))) (patch #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) y #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) y #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) y #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) y #s(literal 1 binary64)) y) (patch (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) y #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) y #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64))) (patch #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) (patch (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())

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

Calls

87 calls:

Time	Variable		Point	Expression
13.0ms	x	@	inf	(* (+ (* (* (+ (* (* 1/6 y) (* y x)) 1/2) x) (* y y)) 1) y)
1.0ms	y	@	0	(* (+ (* (* (* 1/2 y) x) y) 1) y)
0.0ms	y	@	inf	(+ (* (* (+ (* (* (+ (* (* 1/6 y) (* y x)) 1/2) x) (* y y)) 1) y) (* y x)) 1)
0.0ms	x	@	inf	(+ (* (* (+ (* (* (* 1/2 y) x) y) 1) y) (* y x)) 1)
0.0ms	x	@	-inf	(+ (* (* (+ (* (* (+ (* (* 1/6 y) (* y x)) 1/2) x) (* y y)) 1) y) (* y x)) 1)

simplify620.0ms (2.4%)

Memory

-113.5MiB live, 173.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 928×	`lower-fma.f64`
11 928×	`lower-fma.f32`
5 112×	`lower-*.f64`
5 112×	`lower-*.f32`
2 322×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	244	3324
1	805	3209
2	2448	3174
3	5632	3148
0	8377	2890

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

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

rewrite231.0ms (0.9%)

Memory

-16.5MiB live, 268.9MiB allocated

Rules

9 704×	`lower-fma.f32`
9 692×	`lower-fma.f64`
5 384×	`lower-*.f32`
5 366×	`lower-*.f64`
3 378×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	185
0	50	185
1	166	185
2	1088	185
0	8211	185

Stop Event

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

Counts

15 → 405

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64))))
(.f64 (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x)) (exp.f64 (.f64 (*.f64 #s(literal 1/2 binary64) y) x)))
(pow.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 #s(literal 1/2 binary64) y))
(pow.f64 (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 y) x)
(pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) y)))
(pow.f64 (exp.f64 x) (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 1/2 binary64) y)))
(pow.f64 (exp.f64 x) y)
(exp.f64 (*.f64 (log.f64 (exp.f64 y)) x))
(exp.f64 (*.f64 y x))
(.f64 (.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 x (log.f64 (exp.f64 y)))
(*.f64 x y)
(+.f64 (log.f64 (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x))) (log.f64 (exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x))))
(log.f64 (exp.f64 (*.f64 y x)))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 y x) y) (.f64 (.f64 y x) y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 y x) y #s(literal -1 binary64)))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y))))))
(.f64 (fma.f64 (.f64 (.f64 y x) y) (.f64 (.f64 y x) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y x) y #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y x) y) (fma.f64 (.f64 y x) y #s(literal -1 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y)))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) x #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x)) (fma.f64 (.f64 y x) y #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y x) y #s(literal -1 binary64))))) (+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) y #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) y #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 y x) y) (.f64 (.f64 y x) y) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) y))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x)) (.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y x) y) (.f64 (.f64 y x) y) #s(literal 1 binary64)) (fma.f64 (*.f64 y x) y #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x)) (.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x))) (.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x)) (.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x)))) (fma.f64 (.f64 y x) y #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x)) (.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x))) (.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) y)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 y x) y) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x)))) (fma.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 y x) y #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 y x) y #s(literal -1 binary64)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y x) y) (.f64 (.f64 y x) y) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y x) y) (fma.f64 (*.f64 y x) y #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) y)))))
(/.f64 (fma.f64 (.f64 (.f64 y x) y) (.f64 (.f64 y x) y) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) y #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y x) y) (fma.f64 (*.f64 y x) y #s(literal -1 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 y x) y) y) (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y x) y) (fma.f64 (.f64 y x) y #s(literal -1 binary64)))) (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (*.f64 x x) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y x) y) (.f64 (.f64 y x) y) #s(literal -1 binary64))) (fma.f64 (*.f64 y x) y #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) y)))))
(neg.f64 (/.f64 (fma.f64 (.f64 (.f64 y x) y) (.f64 (.f64 y x) y) #s(literal -1 binary64)) (neg.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)))))
(neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x) #s(literal 1 binary64)) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) y))))))
(fma.f64 (.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) y #s(literal -1 binary64)))))
(fma.f64 (.f64 (.f64 y x) y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y) #s(literal 1 binary64))
(fma.f64 y (*.f64 y x) #s(literal 1 binary64))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y))) (/.f64 (.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) y))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) y #s(literal -1 binary64))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) y #s(literal -1 binary64)))))
(+.f64 (.f64 (.f64 y x) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(.f64 (.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) y #s(literal 1 binary64)) y) #s(literal 1 binary64)))
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(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)) #s(literal 1/8 binary64)) x)) (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 y y)) (.f64 #s(literal 1/36 binary64) (.f64 y y)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) y) y) (.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (.f64 x (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x)) #s(literal -1/4 binary64)))) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 y x) y) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 y y)) (.f64 #s(literal 1/36 binary64) (.f64 y y)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) y) y) (.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x)) #s(literal -1/4 binary64)) x) (fma.f64 (.f64 (.f64 y x) y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)) #s(literal 1/8 binary64)) x) (fma.f64 (.f64 (.f64 x x) (.f64 y y)) (.f64 #s(literal 1/36 binary64) (.f64 y y)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) y) y) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (.f64 x (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x)) #s(literal -1/4 binary64))) (fma.f64 (.f64 (.f64 y x) y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)) #s(literal 1/8 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 y y)) (.f64 #s(literal 1/36 binary64) (.f64 y y)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) y) y) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 y x) y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x)) #s(literal -1/4 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 y y)) (.f64 #s(literal 1/36 binary64) (.f64 y y)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) y) y) (.f64 x #s(literal 1/2 binary64))))) (.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)) #s(literal 1/8 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 y x) y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 (.f64 y x) y) y) (.f64 y x)) #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 y y)) (.f64 #s(literal 1/36 binary64) (.f64 y y)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) y) y) (.f64 x #s(literal 1/2 binary64))))) (.f64 x (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)) #s(literal 1/8 binary64)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) y) x) y) x (.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) y) x) y) x))
(fma.f64 x (.f64 (.f64 (.f64 #s(literal 1/6 binary64) y) x) y) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 (.f64 #s(literal 1/6 binary64) y) x) y)))
(+.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) y) x) y) x) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 (.f64 (*.f64 #s(literal 1/6 binary64) y) x) y) x))
(+.f64 (.f64 x (.f64 (.f64 (.f64 #s(literal 1/6 binary64) y) x) y)) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 (.f64 (*.f64 #s(literal 1/6 binary64) y) x) y)))

eval100.0ms (0.4%)

Memory: 16.5MiB live, 213.0MiB allocated
Compiler: Compiled 24 932 to 1 536 computations (93.8% saved)

prune170.0ms (0.7%)

Memory

-0.5MiB live, 365.9MiB allocated

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	759	9	768
Fresh	1	1	2
Picked	1	4	5
Done	0	1	1
Total	761	15	776

Accuracy

100.0%

Counts

776 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	84.6%	(exp.f64 (*.f64 x y))
	60.2%	(exp.f64 x)
✓	75.5%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64)))
✓	72.6%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) y #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64)))
▶	63.9%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
	21.9%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* (+ (* (* (+ (* (* 1/6 y) (* y x)) 1/2) x) (* y y)) 1) y) (* y x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) (.f64 (.f64 (.f64 (.f64 y y) y) y) (*.f64 y y)))))
	25.8%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* (+ (* (* (* 1/2 y) x) y) 1) y) (* y x)) 1) (.f64 (.f64 (fma.f64 (.f64 (.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) x) y) y)))
▶	29.6%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* (+ (* (* (* 1/2 y) x) y) 1) y) (* y x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) #s(literal 1/2 binary64)) x) x)))
	22.1%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
✓	48.9%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
▶	53.5%	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)))
▶	65.5%	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64)))
	54.9%	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
▶	47.9%	#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))

Compiler

Compiled 347 to 187 computations (46.1% saved)

simplify65.0ms (0.3%)

Memory

3.6MiB live, 78.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

2 358×	`lower-fma.f32`
2 342×	`lower-fma.f64`
1 374×	`lower-*.f32`
1 348×	`lower-*.f64`
830×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	339
0	72	331
1	144	309
2	316	289
3	771	289
4	1401	289
5	1715	289
6	1742	289
7	1767	289
8	1767	289
9	1767	289
10	1794	289
11	1795	289
0	1795	285

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize131.0ms (0.5%)

Memory

-5.5MiB live, 231.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	4.967074923530353	(.f64 (.f64 (*.f64 x x) x) y)
accuracy	5.447327311848626	(fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) y x)
accuracy	9.06243394656659	(fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
accuracy	21.28756238963145	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)))
accuracy	3.567185149005484	(.f64 (.f64 (.f64 (.f64 (*.f64 y y) y) y) #s(literal 1/2 binary64)) x)
accuracy	4.287666889337232	(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) #s(literal 1/2 binary64)) x) x)
accuracy	18.024042487032034	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* (+ (* (* (* 1/2 y) x) y) 1) y) (* y x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) #s(literal 1/2 binary64)) x) x)))
accuracy	29.61428849109617	#s(approx (+ (* (* (+ (* (* (* 1/2 y) x) y) 1) y) (* y x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) #s(literal 1/2 binary64)) x) x))
accuracy	0	(*.f64 y x)
accuracy	0.07421875	(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
accuracy	23.13344753258619	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
accuracy	0	(fma.f64 y x #s(literal 1 binary64))
accuracy	28.93604138267293	#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
accuracy	1.0040636242737124	(.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64)))
accuracy	2.140118133199176	(fma.f64 (fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64))
accuracy	5.5682969475887205	(fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) x y)
accuracy	21.28756238963145	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64)))

Samples

80.0ms

256×

valid

Compiler

Compiled 260 to 46 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 42.0ms (69.2% of total)

ival-add: 10.0ms (16.5% of total)

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

const: 4.0ms (6.6% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (0.1%)

Memory

12.7MiB live, 50.2MiB allocated

Counts

18 → 432

Calls

Call 1

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

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

Calls

108 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(+ (* (* y x) y) 1)
2.0ms	y	@	-inf	(+ (* (+ (* (* (* y y) (+ (* (* 1/6 x) y) 1/2)) x) y) x) 1)
1.0ms	y	@	0	(* (* (* (* (* (* y y) y) y) 1/2) x) x)
1.0ms	x	@	0	(* (* (* (* (* (* y y) y) y) 1/2) x) x)
0.0ms	y	@	0	(+ (* (* (* (* x x) x) y) 1/6) (* (* x x) 1/2))

simplify204.0ms (0.8%)

Memory

13.9MiB live, 237.6MiB allocated

Algorithm

1×	egg-herbie

Rules

19 150×	`lower-fma.f64`
19 150×	`lower-fma.f32`
5 782×	`lower-*.f64`
5 782×	`lower-*.f32`
3 198×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	283	4022
1	975	3968
2	3296	3830
3	7434	3830
0	8115	3560

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 428

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

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

rewrite472.0ms (1.8%)

Memory

-11.9MiB live, 235.8MiB allocated

Rules

6 300×	`lower-fma.f32`
6 284×	`lower-fma.f64`
5 834×	`lower-*.f32`
5 808×	`lower-*.f64`
4 046×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	271
0	72	253
1	258	245
2	1761	245
0	8492	241

Stop Event

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

Counts

18 → 322

Calls

Call 1

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

Outputs
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64)) x) (*.f64 y y) y) x #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64)) x) (.f64 y y) y) x) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64)) x) (.f64 y y) y) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64)) x) (.f64 y y) y) x #s(literal -1 binary64))))
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(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) #s(literal 6 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) y) (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) y) (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 x (-.f64 x (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) #s(literal 9 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) #s(literal 6 binary64)) (-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) x) (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) x)) (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) x)))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) y) (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 x (-.f64 x (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) y))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) y) (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (-.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) x)) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) x) (.f64 x x))) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) x) (-.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) y) x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) y) (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) (-.f64 x (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) x) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y x) (-.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) y) (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 x (-.f64 x (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y)))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) y) (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) (.f64 (.f64 x x) x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y x) (-.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) x))) (neg.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) y) (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) y) (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) y) x)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) y) (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) y) (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 x (-.f64 x (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y))))))
(/.f64 (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y x) (-.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) x)) (-.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) x))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) y) (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) (.f64 (.f64 x x) x)) (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) y) (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) y) x))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) y) (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) y) (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 x (-.f64 x (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) x) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y x) (-.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) y) (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 x (-.f64 x (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y)))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) y) (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) (.f64 (.f64 x x) x))))
(fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) y x)
(fma.f64 y (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y))) (/.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) y) (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (-.f64 x (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) y) (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (-.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) x)))
(+.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) x)
(+.f64 x (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y))
(.f64 (.f64 (*.f64 x x) y) x)
(.f64 (.f64 y (*.f64 x x)) x)
(.f64 (.f64 (*.f64 x x) x) y)
(.f64 (.f64 x x) (*.f64 y x))
(.f64 (.f64 y x) (*.f64 x x))
(.f64 y (.f64 (*.f64 x x) x))
(.f64 x (.f64 x (*.f64 y x)))
(.f64 x (.f64 (*.f64 x x) y))

eval197.0ms (0.8%)

Memory: -9.0MiB live, 181.5MiB allocated
Compiler: Compiled 22 770 to 1 332 computations (94.2% saved)

prune213.0ms (0.8%)

Memory

21.3MiB live, 183.7MiB allocated

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	743	7	750
Fresh	1	4	5
Picked	2	3	5
Done	1	4	5
Total	747	18	765

Accuracy

100.0%

Counts

765 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.6%	(exp.f64 (*.f64 x y))
▶	60.2%	(exp.f64 x)
✓	75.5%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64)))
✓	72.6%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) y #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64)))
✓	63.9%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
	21.9%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* (+ (* (* (+ (* (* 1/6 y) (* y x)) 1/2) x) (* y y)) 1) y) (* y x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) (.f64 (.f64 (.f64 (.f64 y y) y) y) (*.f64 y y)))))
✓	29.6%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* (+ (* (* (* 1/2 y) x) y) 1) y) (* y x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) #s(literal 1/2 binary64)) x) x)))
▶	26.8%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* (+ (* (* (* 1/2 y) x) y) 1) y) (* y x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) y) #s(literal 1/2 binary64)) y) y)))
	22.1%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
✓	48.9%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
▶	54.9%	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
	53.6%	#s(approx (exp (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* (* (* x x) x) y) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64))) y x) y #s(literal 1 binary64)))
	54.8%	#s(approx (exp (* x y)) (fma.f64 #s(approx (+ (* (+ (* (* (* (* x x) x) y) 1/6) (* (* x x) 1/2)) y) x) (.f64 (.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal 1/2 binary64) x))) x) (.f64 x x))) y #s(literal 1 binary64)))
✓	47.9%	#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
	21.5%	#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* x x) x) y) 1/6) (* (* x x) 1/2)) y) x) y) 1) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 x (.f64 y y))) y) (*.f64 y y))))
	23.9%	#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* x x) x) y) 1/6) (* (* x x) 1/2)) y) x) y) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) y) x) #s(literal 1/6 binary64)) y)))
▶	22.2%	#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* x x) x) y) 1/6) (* (* x x) 1/2)) y) x) y) 1) (.f64 (.f64 (.f64 y y) (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal 1/2 binary64) x))) (.f64 (*.f64 x x) x))))
▶	10.4%	#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x)))

Compiler

Compiled 438 to 232 computations (47% saved)

simplify306.0ms (1.2%)

Memory

-28.2MiB live, 255.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

33 076×	`lower-fma.f32`
33 070×	`lower-fma.f64`
3 920×	`lower-*.f32`
3 898×	`lower-*.f64`
3 564×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	333
0	71	333
1	144	321
2	333	305
3	826	305
4	1194	305
5	1868	303
6	3090	303
7	4381	303
8	6238	303
9	6706	303
10	7196	303
0	8040	293

Stop Event

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

Calls

Call 1

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

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

localize168.0ms (0.6%)

Memory

28.1MiB live, 219.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	3.6855330568800397	(.f64 (.f64 y y) (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal 1/2 binary64) x)))
accuracy	21.28756238963145	#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* x x) x) y) 1/6) (* (* x x) 1/2)) y) x) y) 1) (.f64 (.f64 (.f64 y y) (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal 1/2 binary64) x))) (.f64 (*.f64 x x) x))))
accuracy	21.64407261087976	(.f64 (.f64 (.f64 y y) (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal 1/2 binary64) x))) (.f64 (*.f64 x x) x))
accuracy	29.114653135558576	#s(approx (+ (* (+ (* (+ (* (* (* (* x x) x) y) 1/6) (* (* x x) 1/2)) y) x) y) 1) (.f64 (.f64 (.f64 y y) (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal 1/2 binary64) x))) (.f64 (*.f64 x x) x)))
accuracy	4.471017099484223	(.f64 (.f64 (*.f64 x x) y) y)
accuracy	9.614918066643034	(.f64 (.f64 x x) y)
accuracy	18.024042487032034	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* (+ (* (* (* 1/2 y) x) y) 1) y) (* y x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) y) #s(literal 1/2 binary64)) y) y)))
accuracy	29.61428849109617	#s(approx (+ (* (* (+ (* (* (* 1/2 y) x) y) 1) y) (* y x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) y) #s(literal 1/2 binary64)) y) y))
accuracy	0.015625	(fma.f64 (.f64 (.f64 x x) y) #s(literal 1/2 binary64) x)
accuracy	2.397171351389946	(fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
accuracy	9.614918066643034	(.f64 (.f64 x x) y)
accuracy	22.78176461931148	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
accuracy	0	(*.f64 y x)
accuracy	28.93604138267293	#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x)))
accuracy	29.797337366549232	#s(approx (+ (* y x) 1) (*.f64 y x))
accuracy	0	(exp.f64 x)

Samples

103.0ms

256×

valid

Compiler

Compiled 211 to 46 computations (78.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 40.0ms (65.7% of total)

ival-add: 9.0ms (14.8% of total)

ival-exp: 5.0ms (8.2% of total)

const: 4.0ms (6.6% of total)

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

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

exact: 0.0ms (0% of total)

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

series68.0ms (0.3%)

Memory

-28.0MiB live, 60.0MiB allocated

Counts

17 → 396

Calls

Call 1

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

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

Calls

99 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(* (* (* y y) (+ (* 1/6 y) (/ 1/2 x))) (* (* x x) x))
3.0ms	x	@	inf	(* (* (* (* (* (* x x) y) y) 1/2) y) y)
1.0ms	x	@	0	(* (* (* (* (* x x) y) y) 1/2) y)
1.0ms	y	@	0	(* (* (* y y) (+ (* 1/6 y) (/ 1/2 x))) (* (* x x) x))
1.0ms	y	@	inf	(* (* (* y y) (+ (* 1/6 y) (/ 1/2 x))) (* (* x x) x))

simplify405.0ms (1.6%)

Memory

-6.6MiB live, 273.7MiB allocated

Algorithm

1×	egg-herbie

Rules

20 818×	`lower-fma.f64`
20 818×	`lower-fma.f32`
4 512×	`lower-*.f64`
4 512×	`lower-*.f32`
2 808×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	226	3322
1	747	3312
2	2392	3212
3	6280	3194
0	8365	2982

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 394

Calls

Call 1

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

rewrite229.0ms (0.9%)

Memory

29.9MiB live, 269.3MiB allocated

Rules

6 986×	`lower-fma.f32`
6 980×	`lower-fma.f64`
4 156×	`lower-*.f32`
4 134×	`lower-*.f64`
3 904×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	279
0	71	269
1	253	259
2	1737	253
0	8325	241

Stop Event

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

Counts

17 → 210

Calls

Call 1

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

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

eval167.0ms (0.6%)

Memory: 9.2MiB live, 157.9MiB allocated
Compiler: Compiled 11 839 to 708 computations (94% saved)

prune226.0ms (0.9%)

Memory

-29.6MiB live, 190.0MiB allocated

Pruning

18 alts after pruning (8 fresh and 10 done)

	Pruned	Kept	Total
New	626	6	632
Fresh	4	2	6
Picked	2	3	5
Done	0	7	7
Total	632	18	650

Accuracy

100.0%

Counts

650 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.6%	(exp.f64 (*.f64 x y))
✓	60.2%	(exp.f64 x)
✓	75.5%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64)))
✓	72.6%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) y #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64)))
✓	63.9%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
	21.9%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* (+ (* (* (+ (* (* 1/6 y) (* y x)) 1/2) x) (* y y)) 1) y) (* y x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) (.f64 (.f64 (.f64 (.f64 y y) y) y) (*.f64 y y)))))
✓	29.6%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* (+ (* (* (* 1/2 y) x) y) 1) y) (* y x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) #s(literal 1/2 binary64)) x) x)))
✓	26.8%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* (+ (* (* (* 1/2 y) x) y) 1) y) (* y x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) y) #s(literal 1/2 binary64)) y) y)))
	22.1%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
✓	48.9%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
✓	47.9%	#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
	22.4%	#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* x x) x) y) 1/6) (* (* x x) 1/2)) y) x) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 y y) (.f64 (*.f64 x x) x)))))
	22.2%	#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* x x) x) y) 1/6) (* (* x x) 1/2)) y) x) y) 1) (.f64 #s(approx ( (* y y) (+ (* 1/6 y) (/ 1/2 x))) (.f64 (.f64 (.f64 y y) y) #s(literal 1/6 binary64))) (.f64 (*.f64 x x) x))))
	23.3%	#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* x x) x) y) 1/6) (* (* x x) 1/2)) y) x) y) 1) #s(approx (* (* (* y y) (+ (* 1/6 y) (/ 1/2 x))) (* (* x x) x)) (.f64 (.f64 (.f64 (.f64 x x) y) y) #s(literal 1/2 binary64)))))
✓	10.4%	#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x)))
	42.5%	#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
	40.4%	#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
	29.0%	#s(approx (exp x) (+.f64 x #s(literal 1 binary64)))

Compiler

Compiled 593 to 211 computations (64.4% saved)

regimes112.0ms (0.4%)

Memory

-11.3MiB live, 69.6MiB allocated

Counts

30 → 1

Calls

Call 1

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

48.0ms	x
44.0ms	(exp.f64 (.f64 (.f64 x y) y))
9.0ms	y
9.0ms	(.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)

regimes40.0ms (0.2%)

Memory

22.4MiB live, 94.3MiB allocated

Counts

29 → 2

Calls

Call 1

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

Calls

4 calls:

12.0ms	x
10.0ms	(exp.f64 (.f64 (.f64 x y) y))
9.0ms	y
8.0ms	(.f64 (.f64 x y) y)

Results

Accuracy	Segments	Branch
88.8%	2	`x`
91.5%	2	`y`
94.4%	2	`(exp.f64 (.f64 (.f64 x y) y))`
94.4%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes83.0ms (0.3%)

Memory

-24.9MiB live, 63.2MiB allocated

Counts

28 → 2

Calls

Call 1

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

Outputs

(exp.f64 x)

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

Calls

4 calls:

37.0ms	(.f64 (.f64 x y) y)
29.0ms	x
9.0ms	y
7.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
78.7%	2	`x`
83.1%	3	`y`
88.7%	2	`(exp.f64 (.f64 (.f64 x y) y))`
88.7%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes58.0ms (0.2%)

Memory

12.2MiB live, 49.0MiB allocated

Counts

26 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

34.0ms	x
8.0ms	y
7.0ms	(.f64 (.f64 x y) y)
7.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
75.5%	1	`x`
77.4%	2	`y`
78.3%	2	`(exp.f64 (.f64 (.f64 x y) y))`
78.3%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes43.0ms (0.2%)

Memory

0.9MiB live, 37.1MiB allocated

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

21.0ms	y
7.0ms	x
7.0ms	(.f64 (.f64 x y) y)
6.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
72.6%	1	`x`
75.2%	2	`y`
78.2%	3	`(exp.f64 (.f64 (.f64 x y) y))`
78.2%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes11.0ms (0%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
77.9%	3	`(exp.f64 (.f64 (.f64 x y) y))`
78.0%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes98.0ms (0.4%)

Memory

-4.2MiB live, 34.0MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

84.0ms	y
5.0ms	x
4.0ms	(.f64 (.f64 x y) y)
4.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
68.3%	1	`x`
71.6%	3	`y`
72.9%	3	`(exp.f64 (.f64 (.f64 x y) y))`
73.0%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes96.0ms (0.4%)

Memory

-29.5MiB live, 17.9MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
70.9%	2	`(exp.f64 (.f64 (.f64 x y) y))`
70.9%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes11.0ms (0%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
68.3%	1	`y`
68.3%	1	`(exp.f64 (.f64 (.f64 x y) y))`
68.3%	1	`(.f64 (.f64 x y) y)`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes11.0ms (0%)

Memory

18.4MiB live, 18.4MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
68.3%	2	`(.f64 (.f64 x y) y)`
68.3%	2	`(exp.f64 (.f64 (.f64 x y) y))`
63.9%	1	`x`
68.3%	2	`y`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes11.0ms (0%)

Memory

-23.8MiB live, 14.1MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	y
2.0ms	(.f64 (.f64 x y) y)
2.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
66.2%	2	`y`
68.1%	2	`(.f64 (.f64 x y) y)`
68.1%	2	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes9.0ms (0%)

Memory

17.2MiB live, 17.2MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
53.2%	2	`x`
56.0%	2	`y`
56.2%	2	`(.f64 (.f64 x y) y)`
56.2%	2	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes4.0ms (0%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
56.2%	2	`(exp.f64 (.f64 (.f64 x y) y))`
56.2%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes25.0ms (0.1%)

Memory

-22.8MiB live, 14.1MiB allocated

Accuracy

Total -13.0b remaining (-39.8%)

Threshold costs -13b (-39.8%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

20.0ms	x
1.0ms	y
1.0ms	(.f64 (.f64 x y) y)
1.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
48.9%	1	`x`
48.9%	1	`y`
48.9%	1	`(exp.f64 (.f64 (.f64 x y) y))`
48.9%	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	-8843793569466.256	-3.966299253995656e-5

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	-8843793569466.256	-3.966299253995656e-5

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	-1.0818967324214259e+72	-5.086774113876139e+54

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	581291516544408.5	3.127813511218763e+19
0.0ms	-1.8695780089952636e+74	-1.0818967324214259e+72

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	581291516544408.5	3.127813511218763e+19
0.0ms	-1.8695780089952636e+74	-1.0818967324214259e+72

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.1655394302462202e+145	1.5486810088788669e+147
0.0ms	-1.8695780089952636e+74	-1.0818967324214259e+72

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	-1.8695780089952636e+74	-1.0818967324214259e+72

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000003579616712	+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	1.0000003579616712	+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	1.0000003579616712	+inf

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.17580713927086e+24	1.8678296722529824e+27

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify10.0ms (0%)

Memory

22.1MiB live, 22.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	790
1	137	790

Stop Event

1×

saturated

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 x y) y))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -5000000000000 binary64)) (exp.f64 (.f64 x y)) #s(approx (exp ( (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -5000000000000 binary64)) (exp.f64 x) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -999999999999999943801810948794571024057224129020550531544123892056457216 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* x x) x) y) 1/6) (* (* x x) 1/2)) y) x) y) 1) #s(approx (* (* (* y y) (+ (* 1/6 y) (/ 1/2 x))) (* (* x x) x)) (.f64 (.f64 (.f64 (.f64 x x) y) y) #s(literal 1/2 binary64))))) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -99999999999999995164818811802792197885196090803013355167206819763650035712 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* x x) x) y) 1/6) (* (* x x) 1/2)) y) x) y) 1) #s(approx (* (* (* y y) (+ (* 1/6 y) (/ 1/2 x))) (* (* x x) x)) (.f64 (.f64 (.f64 (.f64 x x) y) y) #s(literal 1/2 binary64))))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 1000000000000000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) y #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* (+ (* (* (* 1/2 y) x) y) 1) y) (* y x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) #s(literal 1/2 binary64)) x) x)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -99999999999999995164818811802792197885196090803013355167206819763650035712 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* x x) x) y) 1/6) (* (* x x) 1/2)) y) x) y) 1) #s(approx (* (* (* y y) (+ (* 1/6 y) (/ 1/2 x))) (* (* x x) x)) (.f64 (.f64 (.f64 (.f64 x x) y) y) #s(literal 1/2 binary64))))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 1000000000000000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* (+ (* (* (* 1/2 y) x) y) 1) y) (* y x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) #s(literal 1/2 binary64)) x) x)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -99999999999999995164818811802792197885196090803013355167206819763650035712 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* x x) x) y) 1/6) (* (* x x) 1/2)) y) x) y) 1) #s(approx (* (* (* y y) (+ (* 1/6 y) (/ 1/2 x))) (* (* x x) x)) (.f64 (.f64 (.f64 (.f64 x x) y) y) #s(literal 1/2 binary64))))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 39999999999999999563482447285636784507139225041605435780720061858901209596441032595416451225830520245186635713283815594336131046093817348450418688 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) x #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* (+ (* (* (* 1/2 y) x) y) 1) y) (* y x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) y) #s(literal 1/2 binary64)) y) y)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -99999999999999995164818811802792197885196090803013355167206819763650035712 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* x x) x) y) 1/6) (* (* x x) 1/2)) y) x) y) 1) #s(approx (* (* (* y y) (+ (* 1/6 y) (/ 1/2 x))) (* (* x x) x)) (.f64 (.f64 (.f64 (.f64 x x) y) y) #s(literal 1/2 binary64))))) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 5000000000000000452984832 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Outputs
(exp.f64 (.f64 (.f64 x y) y))
(exp.f64 (.f64 (.f64 y x) y))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -5000000000000 binary64)) (exp.f64 (.f64 x y)) #s(approx (exp ( (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -5000000000000 binary64)) (exp.f64 (.f64 y x)) #s(approx (exp ( (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -5000000000000 binary64)) (exp.f64 x) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -5000000000000 binary64)) (exp.f64 x) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -999999999999999943801810948794571024057224129020550531544123892056457216 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* x x) x) y) 1/6) (* (* x x) 1/2)) y) x) y) 1) #s(approx (* (* (* y y) (+ (* 1/6 y) (/ 1/2 x))) (* (* x x) x)) (.f64 (.f64 (.f64 (.f64 x x) y) y) #s(literal 1/2 binary64))))) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -999999999999999943801810948794571024057224129020550531544123892056457216 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* x x) x) y) 1/6) (* (* x x) 1/2)) y) x) y) 1) #s(approx (* (* (* y y) (+ (* 1/6 y) (/ 1/2 x))) (* (* x x) x)) (.f64 (.f64 (.f64 (.f64 x x) y) y) #s(literal 1/2 binary64))))) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -99999999999999995164818811802792197885196090803013355167206819763650035712 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* x x) x) y) 1/6) (* (* x x) 1/2)) y) x) y) 1) #s(approx (* (* (* y y) (+ (* 1/6 y) (/ 1/2 x))) (* (* x x) x)) (.f64 (.f64 (.f64 (.f64 x x) y) y) #s(literal 1/2 binary64))))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 1000000000000000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) y #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* (+ (* (* (* 1/2 y) x) y) 1) y) (* y x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) #s(literal 1/2 binary64)) x) x)))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -99999999999999995164818811802792197885196090803013355167206819763650035712 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* x x) x) y) 1/6) (* (* x x) 1/2)) y) x) y) 1) #s(approx (* (* (* y y) (+ (* 1/6 y) (/ 1/2 x))) (* (* x x) x)) (.f64 (.f64 (.f64 (.f64 x x) y) y) #s(literal 1/2 binary64))))) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 1000000000000000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) y #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* (+ (* (* (* 1/2 y) x) y) 1) y) (* y x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) #s(literal 1/2 binary64)) x) x)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -99999999999999995164818811802792197885196090803013355167206819763650035712 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* x x) x) y) 1/6) (* (* x x) 1/2)) y) x) y) 1) #s(approx (* (* (* y y) (+ (* 1/6 y) (/ 1/2 x))) (* (* x x) x)) (.f64 (.f64 (.f64 (.f64 x x) y) y) #s(literal 1/2 binary64))))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 1000000000000000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* (+ (* (* (* 1/2 y) x) y) 1) y) (* y x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) #s(literal 1/2 binary64)) x) x)))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -99999999999999995164818811802792197885196090803013355167206819763650035712 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* x x) x) y) 1/6) (* (* x x) 1/2)) y) x) y) 1) #s(approx (* (* (* y y) (+ (* 1/6 y) (/ 1/2 x))) (* (* x x) x)) (.f64 (.f64 (.f64 (.f64 x x) y) y) #s(literal 1/2 binary64))))) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 1000000000000000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* (+ (* (* (* 1/2 y) x) y) 1) y) (* y x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) #s(literal 1/2 binary64)) x) x)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -99999999999999995164818811802792197885196090803013355167206819763650035712 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* x x) x) y) 1/6) (* (* x x) 1/2)) y) x) y) 1) #s(approx (* (* (* y y) (+ (* 1/6 y) (/ 1/2 x))) (* (* x x) x)) (.f64 (.f64 (.f64 (.f64 x x) y) y) #s(literal 1/2 binary64))))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 39999999999999999563482447285636784507139225041605435780720061858901209596441032595416451225830520245186635713283815594336131046093817348450418688 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) x #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* (+ (* (* (* 1/2 y) x) y) 1) y) (* y x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) y) #s(literal 1/2 binary64)) y) y)))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -99999999999999995164818811802792197885196090803013355167206819763650035712 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* x x) x) y) 1/6) (* (* x x) 1/2)) y) x) y) 1) #s(approx (* (* (* y y) (+ (* 1/6 y) (/ 1/2 x))) (* (* x x) x)) (.f64 (.f64 (.f64 (.f64 x x) y) y) #s(literal 1/2 binary64))))) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 39999999999999999563482447285636784507139225041605435780720061858901209596441032595416451225830520245186635713283815594336131046093817348450418688 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) x #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* (+ (* (* (* 1/2 y) x) y) 1) y) (* y x)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) y) #s(literal 1/2 binary64)) y) y)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -99999999999999995164818811802792197885196090803013355167206819763650035712 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* x x) x) y) 1/6) (* (* x x) 1/2)) y) x) y) 1) #s(approx (* (* (* y y) (+ (* 1/6 y) (/ 1/2 x))) (* (* x x) x)) (.f64 (.f64 (.f64 (.f64 x x) y) y) #s(literal 1/2 binary64))))) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -99999999999999995164818811802792197885196090803013355167206819763650035712 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* x x) x) y) 1/6) (* (* x x) 1/2)) y) x) y) 1) #s(approx (* (* (* y y) (+ (* 1/6 y) (/ 1/2 x))) (* (* x x) x)) (.f64 (.f64 (.f64 (.f64 x x) y) y) #s(literal 1/2 binary64))))) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))))
(if (<=.f64 (exp.f64 (.f64 (.f64 y x) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))))
(if (<=.f64 (exp.f64 (.f64 (.f64 y x) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (.f64 (.f64 y x) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 5000000000000000452984832 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal 5000000000000000452984832 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

soundness19.9s (76.3%)

Memory

-19.4MiB live, 936.0MiB allocated

Rules

20 818×	`lower-fma.f64`
20 818×	`lower-fma.f32`
19 150×	`lower-fma.f64`
19 150×	`lower-fma.f32`
11 928×	`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	244	3324
1	805	3209
2	2448	3174
3	5632	3148
0	8377	2890
0	283	4022
1	975	3968
2	3296	3830
3	7434	3830
0	8115	3560
0	28	185
0	50	185
1	166	185
2	1088	185
0	8211	185
0	226	3322
1	747	3312
2	2392	3212
3	6280	3194
0	8365	2982

Stop Event

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

Compiler

Compiled 528 to 174 computations (67% saved)

preprocess105.0ms (0.4%)

Memory: 10.0MiB live, 165.2MiB allocated
Remove: (abs y)
Compiler: Compiled 820 to 160 computations (80.5% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

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

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

start0.0ms (0%)

analyze0.0ms (0%)

sample615.0ms (2.4%)

explain61.0ms (0.2%)

preprocess24.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize47.0ms (0.2%)

series6.0ms (0%)

simplify141.0ms (0.5%)

rewrite49.0ms (0.2%)

eval7.0ms (0%)

prune24.0ms (0.1%)

simplify331.0ms (1.3%)

localize91.0ms (0.3%)

series37.0ms (0.1%)

simplify620.0ms (2.4%)

rewrite231.0ms (0.9%)

eval100.0ms (0.4%)

prune170.0ms (0.7%)

simplify65.0ms (0.3%)

localize131.0ms (0.5%)

series34.0ms (0.1%)

simplify204.0ms (0.8%)

rewrite472.0ms (1.8%)

eval197.0ms (0.8%)

prune213.0ms (0.8%)

simplify306.0ms (1.2%)

localize168.0ms (0.6%)

series68.0ms (0.3%)

simplify405.0ms (1.6%)

rewrite229.0ms (0.9%)

eval167.0ms (0.6%)

prune226.0ms (0.9%)

regimes112.0ms (0.4%)

regimes40.0ms (0.2%)

regimes83.0ms (0.3%)

regimes58.0ms (0.2%)

regimes43.0ms (0.2%)

regimes11.0ms (0%)

regimes98.0ms (0.4%)

regimes96.0ms (0.4%)

regimes11.0ms (0%)

regimes11.0ms (0%)

regimes11.0ms (0%)

regimes9.0ms (0%)

regimes4.0ms (0%)

regimes25.0ms (0.1%)

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%)

simplify10.0ms (0%)

soundness19.9s (76.3%)

preprocess105.0ms (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