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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample758.0ms (2.7%)

Memory

36.8MiB live, 938.4MiB allocated

Samples

559.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 375.0ms

ival-mult: 303.0ms (80.8% of total)

ival-exp: 63.0ms (16.8% of total)

ival-true: 6.0ms (1.6% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain69.0ms (0.2%)

Memory

-43.2MiB live, 99.6MiB 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

38.0ms

512×

valid

Compiler

Compiled 44 to 19 computations (56.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 16.0ms (78.9% of total)

ival-exp: 4.0ms (19.7% of total)

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

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

preprocess26.0ms (0.1%)

Memory

27.2MiB live, 27.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

Compiler

Compiled 8 to 5 computations (37.5% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune9.0ms (0%)

Memory

-35.6MiB live, 1.2MiB 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)

simplify6.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize17.0ms (0.1%)

Memory

32.1MiB live, 32.1MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

11.0ms

256×

valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

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

ival-mult: 3.0ms (54.2% of total)

ival-exp: 2.0ms (36.2% of total)

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

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

series9.0ms (0%)

Memory

-24.6MiB live, 13.7MiB 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
3.0ms	x	@	0	(exp (* (* x y) y))
1.0ms	y	@	0	(exp (* (* x y) y))
1.0ms	y	@	0	(* x y)
1.0ms	x	@	0	(* (* x y) y)
0.0ms	x	@	inf	(* (* x y) y)

simplify218.0ms (0.8%)

Memory

2.9MiB live, 158.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

Calls

Call 1

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

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

rewrite42.0ms (0.1%)

Memory

5.3MiB live, 43.2MiB allocated

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

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

Counts

3 → 7

Calls

Call 1

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

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

eval7.0ms (0%)

Memory: 20.8MiB live, 20.8MiB allocated
Compiler: Compiled 565 to 28 computations (95% saved)

prune19.0ms (0.1%)

Memory

-3.1MiB live, 42.6MiB 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))
▶	89.3%	(exp.f64 (*.f64 x y))
	65.9%	(exp.f64 y)
	67.2%	(exp.f64 x)
▶	72.1%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
▶	70.3%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
▶	66.6%	#s(approx (exp (* (* x y) y)) (fma.f64 x (*.f64 y y) #s(literal 1 binary64)))
▶	56.4%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 148 to 83 computations (43.9% saved)

simplify239.0ms (0.8%)

Memory

-30.6MiB live, 244.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize85.0ms (0.3%)

Memory

24.7MiB live, 153.7MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	2.5336011793823863	(.f64 x (.f64 x (*.f64 y y)))
accuracy	3.039129212506368	(fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
accuracy	6.3620718082885865	(.f64 x (.f64 y y))
accuracy	18.07022039488981	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
accuracy	1.2228859266033336	(fma.f64 x (.f64 (.f64 x (*.f64 y y)) #s(literal 1/2 binary64)) x)
accuracy	1.6832462612760555	(fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
accuracy	6.3620718082885865	(.f64 x (.f64 y y))
accuracy	19.251179925119143	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
accuracy	0	(*.f64 y y)
accuracy	3.0449746033125784	(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
accuracy	22.079525434268024	#s(approx (exp (* (* x y) y)) (fma.f64 x (*.f64 y y) #s(literal 1 binary64)))
accuracy	27.87895834625021	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
accuracy	0	(*.f64 x y)
accuracy	0.017670163890847707	(exp.f64 (*.f64 x y))

Samples

54.0ms

256×

valid

Compiler

Compiled 174 to 27 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 25.0ms (63.8% of total)

ival-add: 6.0ms (15.3% of total)

ival-exp: 4.0ms (10.2% of total)

const: 3.0ms (7.7% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.1%)

Memory

-6.7MiB live, 32.1MiB allocated

Counts

15 → 348

Calls

Call 1

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

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

Calls

87 calls:

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

simplify510.0ms (1.8%)

Memory

-1.3MiB live, 421.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 344

Calls

Call 1

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

rewrite367.0ms (1.3%)

Memory

-7.1MiB live, 592.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

15 → 378

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (exp.f64 y)) x))
(pow.f64 (exp.f64 x) y)
(pow.f64 (exp.f64 x) (fma.f64 y #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 y) x)
(pow.f64 (exp.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 y #s(literal 1/2 binary64)))
(.f64 (exp.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (exp.f64 (.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (*.f64 x y)))
(+.f64 (log.f64 (exp.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))))) (log.f64 (exp.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))))))
(*.f64 x y)
(*.f64 x (log.f64 (exp.f64 y)))
(*.f64 y x)
(.f64 (.f64 x y) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) (fma.f64 x (*.f64 y y) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 y y)))
(+.f64 (.f64 x (.f64 y y)) #s(literal 1 binary64))
(+.f64 (/.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) (fma.f64 x (.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y y) #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) (fma.f64 x (.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y y) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 y y)))) (/.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 y y)))))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(fma.f64 y (*.f64 x y) #s(literal 1 binary64))
(fma.f64 (*.f64 x y) y #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 y y)) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 y y)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y y) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y y) #s(literal 1 binary64))))
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(.f64 x (.f64 x (*.f64 y y)))
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eval131.0ms (0.5%)

Memory: 32.9MiB live, 235.9MiB allocated
Compiler: Compiled 27 608 to 1 404 computations (94.9% saved)

prune165.0ms (0.6%)

Memory

-16.9MiB live, 336.1MiB allocated

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	829	18	847
Fresh	0	2	2
Picked	3	2	5
Done	0	1	1
Total	832	23	855

Accuracy

100.0%

Counts

855 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	89.3%	(exp.f64 (*.f64 x y))
	65.9%	(exp.f64 y)
	67.2%	(exp.f64 x)
	70.7%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)))) x (fma.f64 x (.f64 y y) #s(literal 1 binary64))))
	71.8%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 (.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64))) (.f64 x (.f64 y y))) x (fma.f64 x (.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64))) x)) #s(literal 1 binary64)))
	72.1%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 (.f64 y y) (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
▶	72.1%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 y (.f64 (.f64 y #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
▶	72.1%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) #s(approx (+ (* x (* (* y y) 1/6)) 1/2) (.f64 x (.f64 (*.f64 y y) #s(literal 1/6 binary64)))) x) #s(literal 1 binary64)))
▶	61.6%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
	70.3%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 (.f64 x y) y) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
	38.6%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* x (* x (* y y))) (+ (* x (* (* y y) 1/6)) 1/2)) x) (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))))) #s(literal 1 binary64)))
	71.1%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* x (* x (* y y))) (+ (* x (* (* y y) 1/6)) 1/2)) x) (.f64 (.f64 y y) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (*.f64 y y))))))) #s(literal 1 binary64)))
	65.5%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 x y) y #s(literal 1 binary64)))
	71.8%	#s(approx (exp (* (* x y) y)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 y y)) (.f64 (.f64 x y) (.f64 y (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (.f64 x (.f64 y y))))
	66.6%	#s(approx (exp (* (* x y) y)) (+.f64 (.f64 x (.f64 y y)) #s(literal 1 binary64)))
	17.0%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))))
	17.1%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 y (.f64 y (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 y y))) x)))))
	13.3%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* x (* y y)) 1) (.f64 x (.f64 y y))))
✓	56.4%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
	63.3%	#s(approx (exp (* x y)) (fma.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)))
▶	61.5%	#s(approx (exp (* x y)) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 y y)) y) #s(literal 1 binary64)))
▶	54.1%	#s(approx (exp (* x y)) (fma.f64 x y #s(literal 1 binary64)))

Compiler

Compiled 740 to 372 computations (49.7% saved)

simplify496.0ms (1.7%)

Memory

1.0MiB live, 156.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

5 340×	`lower-fma.f32`
5 320×	`lower-fma.f64`
3 266×	`associate-r`
2 994×	`lower-*.f32`
2 974×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	372
0	68	368
1	157	368
2	415	368
3	1347	368
4	2006	368
5	2567	368
6	3722	368
7	5073	368
8	5090	368
9	5090	368
10	5168	368
11	5522	368
12	5852	368
13	5936	368
14	5956	368
15	5956	368
16	5956	368
17	7010	368
18	7626	368
19	7686	368
20	7686	368
0	9177	356

Stop Event

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

Calls

Call 1

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

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

localize148.0ms (0.5%)

Memory

-18.9MiB live, 232.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	6.325268608863889	(.f64 x (.f64 (*.f64 y y) #s(literal 1/6 binary64)))
accuracy	6.3620718082885865	(.f64 x (.f64 y y))
accuracy	18.07022039488981	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) #s(approx (+ (* x (* (* y y) 1/6)) 1/2) (.f64 x (.f64 (*.f64 y y) #s(literal 1/6 binary64)))) x) #s(literal 1 binary64)))
accuracy	33.99838015375445	#s(approx (+ (* x (* (* y y) 1/6)) 1/2) (.f64 x (.f64 (*.f64 y y) #s(literal 1/6 binary64))))
accuracy	0	(*.f64 x x)
accuracy	1.6832462612760555	(fma.f64 (.f64 y y) (fma.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
accuracy	9.80714043918553	(fma.f64 (.f64 x x) (.f64 (*.f64 y y) #s(literal 1/2 binary64)) x)
accuracy	19.251179925119143	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
accuracy	0	(.f64 #s(literal 1/2 binary64) (.f64 y y))
accuracy	1.2306984266033336	(fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 y y)) y) #s(literal 1 binary64))
accuracy	5.574342273547784	(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 y y)) y)
accuracy	24.118848349249717	#s(approx (exp (* x y)) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 y y)) y) #s(literal 1 binary64)))
accuracy	0	(fma.f64 x y #s(literal 1 binary64))
accuracy	27.33013904337688	#s(approx (exp (* x y)) (fma.f64 x y #s(literal 1 binary64)))
accuracy	1.9017057101937476	(fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 y (.f64 (.f64 y #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
accuracy	2.5336011793823863	(.f64 x (.f64 x (*.f64 y y)))
accuracy	6.3620718082885865	(.f64 x (.f64 y y))
accuracy	18.07022039488981	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 y (.f64 (.f64 y #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))

Samples

95.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 278 to 41 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 56.0ms (73.4% of total)

ival-add: 11.0ms (14.4% of total)

const: 4.0ms (5.2% of total)

ival-exp: 4.0ms (5.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series26.0ms (0.1%)

Memory

8.3MiB live, 43.4MiB allocated

Counts

21 → 468

Calls

Call 1

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

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

Calls

117 calls:

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

simplify568.0ms (2%)

Memory

14.5MiB live, 575.9MiB allocated

Algorithm

1×	egg-herbie

Rules

15 850×	`lower-fma.f64`
15 850×	`lower-fma.f32`
4 500×	`lower-*.f64`
4 500×	`lower-*.f32`
2 450×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	233	4409
1	781	4397
2	2397	4285
3	7177	4285
0	8033	3973

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 460

Calls

Call 1

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

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

rewrite617.0ms (2.2%)

Memory

-123.7MiB live, 681.8MiB allocated

Rules

8 510×	`lower-fma.f32`
8 490×	`lower-fma.f64`
4 552×	`lower-*.f32`
4 532×	`lower-*.f64`
3 540×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	305
0	68	301
1	282	284
2	2016	284
0	8270	281

Stop Event

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

Counts

21 → 513

Calls

Call 1

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

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

eval224.0ms (0.8%)

Memory: -7.1MiB live, 300.9MiB allocated
Compiler: Compiled 36 409 to 1 666 computations (95.4% saved)

prune345.0ms (1.2%)

Memory

15.6MiB live, 463.3MiB allocated

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	1 154	15	1 169
Fresh	7	8	15
Picked	3	2	5
Done	0	3	3
Total	1 164	28	1 192

Accuracy

100.0%

Counts

1 192 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	89.3%	(exp.f64 (*.f64 x y))
	65.9%	(exp.f64 y)
	67.2%	(exp.f64 x)
	70.3%	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 x (.f64 y y)) (.f64 x #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)))
	71.8%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 (.f64 (.f64 x (.f64 y y)) #s(literal 1/6 binary64)) (.f64 x (.f64 y y))) x (fma.f64 (.f64 x (.f64 y y)) (.f64 x #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)))
	63.0%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 (.f64 y y) (.f64 x x)) #s(approx (+ (* x (* (* y y) 1/6)) 1/2) (.f64 x (.f64 (*.f64 y y) #s(literal 1/6 binary64)))) x) #s(literal 1 binary64)))
✓	72.1%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 y (.f64 (.f64 y #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
	72.1%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) #s(approx (+ (* x (* (* y y) 1/6)) 1/2) (.f64 (.f64 x (*.f64 y #s(literal 1/6 binary64))) y)) x) #s(literal 1 binary64)))
▶	56.9%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* x (* x (* y y))) (+ (* y (* (* y 1/6) x)) 1/2)) x) (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))))) #s(literal 1 binary64)))
	62.3%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* x (* x (* y y))) (+ (* y (* (* y 1/6) x)) 1/2)) x) (.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/6 binary64)) (.f64 y (.f64 y #s(literal 1/2 binary64)))))) #s(literal 1 binary64)))
	71.1%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* x (* x (* y y))) (+ (* x (* (* y y) 1/6)) 1/2)) x) (.f64 (.f64 y y) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (*.f64 y y))))))) #s(literal 1 binary64)))
▶	67.7%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* x x) (* (* y y) 1/2)) x) (.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x y))))) #s(literal 1 binary64)))
	65.5%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 x y) y #s(literal 1 binary64)))
▶	72.1%	#s(approx (exp (* (* x y) y)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 (fma.f64 (.f64 x (.f64 y y)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 x (.f64 y y))))) (.f64 x (.f64 y y))))
	70.3%	#s(approx (exp (* (* x y) y)) (+.f64 (.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 y y)) (*.f64 x #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)))
	66.6%	#s(approx (exp (* (* x y) y)) (+.f64 (.f64 x (.f64 y y)) #s(literal 1 binary64)))
	16.1%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* (* x x) (* (* y y) 1/2)) x)) 1) (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 x (.f64 x #s(literal 1/2 binary64))))))
	17.0%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))))
	13.3%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* x (* y y)) 1) (.f64 x (.f64 y y))))
✓	56.4%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
	58.4%	#s(approx (exp (* x y)) (fma.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (*.f64 x x) (fma.f64 x y #s(literal 1 binary64))))
	60.5%	#s(approx (exp (* x y)) (fma.f64 x (fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) y) y y) #s(literal 1 binary64)))
	63.3%	#s(approx (exp (* x y)) (fma.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)))
▶	65.5%	#s(approx (exp (* x y)) (fma.f64 x #s(approx (+ (* x (* 1/2 (* y y))) y) (.f64 x (.f64 y (*.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
✓	54.1%	#s(approx (exp (* x y)) (fma.f64 x y #s(literal 1 binary64)))
	12.9%	#s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* 1/2 (* y y))) y)) 1) (.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x y))))))
▶	7.6%	#s(approx (exp (* x y)) #s(approx (+ (* x y) 1) (*.f64 x y)))

Compiler

Compiled 848 to 423 computations (50.1% saved)

simplify421.0ms (1.5%)

Memory

-16.1MiB live, 581.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (* x (* x (* y y))) (+ (* y (* (* y 1/6) x)) 1/2)) x) (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))))
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 (.f64 y y) #s(approx (+ ( (* x (* x (* y y))) (+ (* y (* (* y 1/6) x)) 1/2)) x) (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))))) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* x (* x (* y y))) (+ (* y (* (* y 1/6) x)) 1/2)) x) (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))))) #s(literal 1 binary64)))
cost-diff	0	#s(approx (+ (* (* x x) (* (* y y) 1/2)) x) (.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x y)))))
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 (.f64 y y) #s(approx (+ ( (* x x) (* (* y y) 1/2)) x) (.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x y))))) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* x x) (* (* y y) 1/2)) x) (.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x y))))) #s(literal 1 binary64)))
cost-diff	0	(.f64 x (.f64 y (*.f64 y #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (+ (* x (* 1/2 (* y y))) y) (.f64 x (.f64 y (*.f64 y #s(literal 1/2 binary64)))))
cost-diff	0	(fma.f64 x #s(approx (+ (* x (* 1/2 (* y y))) y) (.f64 x (.f64 y (*.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* x y)) (fma.f64 x #s(approx (+ (* x (* 1/2 (* y y))) y) (.f64 x (.f64 y (*.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (+ (* x y) 1) (*.f64 x y))
cost-diff	0	#s(approx (exp (* x y)) #s(approx (+ (* x y) 1) (*.f64 x y)))
cost-diff	0	(.f64 (.f64 y y) (.f64 (.f64 (fma.f64 (.f64 x (.f64 y y)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 x (.f64 y y))))
cost-diff	0	#s(approx (exp (* (* x y) y)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 (fma.f64 (.f64 x (.f64 y y)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 x (.f64 y y))))) (.f64 x (.f64 y y))))
cost-diff	128	(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 (fma.f64 (.f64 x (.f64 y y)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 x (.f64 y y)))))
cost-diff	768	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 (fma.f64 (.f64 x (.f64 y y)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 x (.f64 y y))))) (.f64 x (.f64 y y)))

Rules

12 930×	`lower-fma.f32`
12 922×	`lower-fma.f64`
6 716×	`lower-+.f32`
6 712×	`lower-+.f64`
2 806×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	538
0	88	526
1	182	501
2	461	483
3	1228	483
4	2064	483
5	3929	483
6	5643	483
7	6508	483
8	6508	483
9	6508	483
10	6624	483
11	6738	483
12	6746	483
13	6746	483
14	6746	483
0	8881	467

Stop Event

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

Calls

Call 1

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

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

localize304.0ms (1.1%)

Memory

13.9MiB live, 321.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.9017057101937476	(fma.f64 (.f64 y y) #s(approx (+ ( (* x (* x (* y y))) (+ (* y (* (* y 1/6) x)) 1/2)) x) (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))))) #s(literal 1 binary64))
accuracy	14.451180334654389	(.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))))
accuracy	18.07022039488981	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* x (* x (* y y))) (+ (* y (* (* y 1/6) x)) 1/2)) x) (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))))) #s(literal 1 binary64)))
accuracy	33.64106029901856	#s(approx (+ (* (* x (* x (* y y))) (+ (* y (* (* y 1/6) x)) 1/2)) x) (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))))
accuracy	1.6832462612760555	(fma.f64 (.f64 y y) #s(approx (+ ( (* x x) (* (* y y) 1/2)) x) (.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x y))))) #s(literal 1 binary64))
accuracy	2.686534315170137	(.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x y))))
accuracy	19.251179925119143	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* x x) (* (* y y) 1/2)) x) (.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x y))))) #s(literal 1 binary64)))
accuracy	33.65787286174069	#s(approx (+ (* (* x x) (* (* y y) 1/2)) x) (.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x y)))))
accuracy	1.2306984266033336	(fma.f64 x #s(approx (+ (* x (* 1/2 (* y y))) y) (.f64 x (.f64 y (*.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
accuracy	6.347824642233398	(.f64 x (.f64 y (*.f64 y #s(literal 1/2 binary64))))
accuracy	24.118848349249717	#s(approx (exp (* x y)) (fma.f64 x #s(approx (+ (* x (* 1/2 (* y y))) y) (.f64 x (.f64 y (*.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
accuracy	32.37379692770285	#s(approx (+ (* x (* 1/2 (* y y))) y) (.f64 x (.f64 y (*.f64 y #s(literal 1/2 binary64)))))
accuracy	0	(*.f64 x y)
accuracy	27.33013904337688	#s(approx (exp (* x y)) #s(approx (+ (* x y) 1) (*.f64 x y)))
accuracy	32.93892992347728	#s(approx (+ (* x y) 1) (*.f64 x y))
accuracy	1.34194322703415	(.f64 (.f64 (fma.f64 (.f64 x (.f64 y y)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 x (.f64 y y)))
accuracy	4.63203442679886	(.f64 (.f64 y y) (.f64 (.f64 (fma.f64 (.f64 x (.f64 y y)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 x (.f64 y y))))
accuracy	6.362071808288585	(.f64 x (.f64 y y))
accuracy	18.07022039488981	#s(approx (exp (* (* x y) y)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 (fma.f64 (.f64 x (.f64 y y)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 x (.f64 y y))))) (.f64 x (.f64 y y))))

Samples

205.0ms

256×

valid

Compiler

Compiled 349 to 51 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 181.0ms

ival-mult: 160.0ms (88.5% of total)

ival-add: 11.0ms (6.1% of total)

const: 5.0ms (2.8% of total)

ival-exp: 4.0ms (2.2% of total)

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

exact: 0.0ms (0% of total)

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

series42.0ms (0.1%)

Memory

2.2MiB live, 94.2MiB allocated

Counts

22 → 516

Calls

Call 1

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

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

Calls

129 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(* y (* 1/2 (* x (* x y))))
2.0ms	y	@	0	(* x (* y (* y 1/2)))
1.0ms	y	@	0	(* (* (* y y) (* y y)) (* 1/6 (* x (* x x))))
1.0ms	x	@	0	(* (* (* y y) (* y y)) (* 1/6 (* x (* x x))))
1.0ms	y	@	inf	(* (* (* y y) (* y y)) (* 1/6 (* x (* x x))))

simplify486.0ms (1.7%)

Memory

-5.5MiB live, 677.2MiB allocated

Algorithm

1×	egg-herbie

Rules

15 458×	`lower-fma.f64`
15 458×	`lower-fma.f32`
4 630×	`lower-*.f64`
4 630×	`lower-*.f32`
2 624×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	237	5222
1	796	5210
2	2538	5020
3	7422	5020
0	8164	4686

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 510

Calls

Call 1

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

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

rewrite473.0ms (1.7%)

Memory

4.4MiB live, 714.8MiB allocated

Rules

7 082×	`lower-fma.f32`
7 074×	`lower-fma.f64`
6 594×	`lower-*.f32`
6 560×	`lower-*.f64`
3 968×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	450
0	88	434
1	305	381
2	2181	381
0	9110	365

Stop Event

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

Counts

22 → 412

Calls

Call 1

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

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

eval187.0ms (0.7%)

Memory: 16.8MiB live, 319.0MiB allocated
Compiler: Compiled 34 512 to 1 585 computations (95.4% saved)

prune476.0ms (1.7%)

Memory

-29.7MiB live, 433.6MiB allocated

Pruning

28 alts after pruning (21 fresh and 7 done)

	Pruned	Kept	Total
New	1 136	8	1 144
Fresh	5	13	18
Picked	3	2	5
Done	0	5	5
Total	1 144	28	1 172

Accuracy

100.0%

Counts

1 172 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	89.3%	(exp.f64 (*.f64 x y))
	65.9%	(exp.f64 y)
	67.2%	(exp.f64 x)
	70.3%	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 x (.f64 y y)) (.f64 x #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)))
	71.8%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 (.f64 (.f64 x (.f64 y y)) #s(literal 1/6 binary64)) (.f64 x (.f64 y y))) x (fma.f64 (.f64 x (.f64 y y)) (.f64 x #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)))
✓	72.1%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 y (.f64 (.f64 y #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
	72.1%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) #s(approx (+ (* x (* (* y y) 1/6)) 1/2) (.f64 (.f64 x (*.f64 y #s(literal 1/6 binary64))) y)) x) #s(literal 1 binary64)))
	58.2%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* x (* x (* y y))) (+ (* y (* (* y 1/6) x)) 1/2)) x) (.f64 (.f64 (.f64 y y) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (*.f64 y y))) #s(literal 1 binary64)))
	62.3%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* x (* x (* y y))) (+ (* y (* (* y 1/6) x)) 1/2)) x) (.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/6 binary64)) (.f64 y (.f64 y #s(literal 1/2 binary64)))))) #s(literal 1 binary64)))
	63.2%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* x (* x (* y y))) (+ (* y (* (* y 1/6) x)) 1/2)) x) (.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 y (.f64 y (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)))
✓	67.7%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* x x) (* (* y y) 1/2)) x) (.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x y))))) #s(literal 1 binary64)))
	65.5%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 x y) y #s(literal 1 binary64)))
	72.1%	#s(approx (exp (* (* x y) y)) (+.f64 (fma.f64 (.f64 (.f64 (.f64 y (.f64 y x)) (fma.f64 y (.f64 y (.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) (.f64 y y)) x #s(literal 1 binary64)) (.f64 x (*.f64 y y))))
	70.3%	#s(approx (exp (* (* x y) y)) (+.f64 (.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 y y)) (*.f64 x #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)))
	66.6%	#s(approx (exp (* (* x y) y)) (+.f64 (.f64 x (.f64 y y)) #s(literal 1 binary64)))
	16.1%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* (* x x) (* (* y y) 1/2)) x)) 1) (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 x (.f64 x #s(literal 1/2 binary64))))))
	17.0%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* (* x x) (* (* y y) 1/2)) x)) 1) (.f64 (.f64 y y) (fma.f64 x (.f64 x (.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))))
	17.0%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* (* x x) (* (* y y) 1/2)) x)) 1) (.f64 (.f64 y y) (.f64 x (.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)))))))
	13.3%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* x (* y y)) 1) (.f64 x (.f64 y y))))
✓	56.4%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
	58.4%	#s(approx (exp (* x y)) (fma.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (*.f64 x x) (fma.f64 x y #s(literal 1 binary64))))
	63.3%	#s(approx (exp (* x y)) (fma.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)))
	60.7%	#s(approx (exp (* x y)) (fma.f64 x #s(approx (+ (* x (* 1/2 (* y y))) y) (.f64 (.f64 (*.f64 y x) #s(literal 1/2 binary64)) y)) #s(literal 1 binary64)))
✓	54.1%	#s(approx (exp (* x y)) (fma.f64 x y #s(literal 1 binary64)))
	12.9%	#s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* 1/2 (* y y))) y)) 1) (.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x y))))))
	14.9%	#s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* 1/2 (* y y))) y)) 1) (.f64 x (.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64))))))
✓	7.6%	#s(approx (exp (* x y)) #s(approx (+ (* x y) 1) (*.f64 x y)))

Compiler

Compiled 1 237 to 372 computations (69.9% saved)

regimes146.0ms (0.5%)

Memory

28.9MiB live, 141.2MiB allocated

Counts

49 → 1

Calls

Call 1

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

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

Calls

4 calls:

98.0ms	(exp.f64 (.f64 (.f64 x y) y))
17.0ms	x
16.0ms	y
12.0ms	(.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)

regimes95.0ms (0.3%)

Memory

4.6MiB live, 128.1MiB allocated

Counts

48 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

36.0ms	(exp.f64 (.f64 (.f64 x y) y))
30.0ms	x
14.0ms	y
13.0ms	(.f64 (.f64 x y) y)

Results

Accuracy	Segments	Branch
93.2%	2	`x`
94.5%	2	`y`
96.0%	2	`(exp.f64 (.f64 (.f64 x y) y))`
96.0%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes57.0ms (0.2%)

Memory

-31.7MiB live, 99.3MiB allocated

Counts

47 → 2

Calls

Call 1

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

Outputs

(exp.f64 x)

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

Calls

4 calls:

16.0ms	y
13.0ms	x
13.0ms	(.f64 (.f64 x y) y)
12.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
83.7%	2	`x`
84.1%	2	`y`
90.7%	2	`(exp.f64 (.f64 (.f64 x y) y))`
90.7%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes52.0ms (0.2%)

Memory

9.6MiB live, 85.5MiB allocated

Counts

45 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

14.0ms	x
13.0ms	y
11.0ms	(.f64 (.f64 x y) y)
11.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
72.1%	1	`x`
72.1%	1	`y`
72.1%	1	`(exp.f64 (.f64 (.f64 x y) y))`
72.1%	1	`(.f64 (.f64 x y) y)`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes46.0ms (0.2%)

Memory

5.4MiB live, 85.1MiB allocated

Counts

35 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

13.0ms	x
12.0ms	(exp.f64 (.f64 (.f64 x y) y))
10.0ms	y
9.0ms	(.f64 (.f64 x y) y)

Results

Accuracy	Segments	Branch
72.1%	1	`(exp.f64 (.f64 (.f64 x y) y))`
72.1%	1	`(.f64 (.f64 x y) y)`
72.1%	1	`x`
72.1%	1	`y`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes101.0ms (0.4%)

Memory

-12.9MiB live, 64.0MiB allocated

Counts

32 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

72.0ms	x
11.0ms	y
8.0ms	(.f64 (.f64 x y) y)
7.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
71.1%	1	`x`
71.1%	1	`(exp.f64 (.f64 (.f64 x y) y))`
71.1%	1	`(.f64 (.f64 x y) y)`
71.1%	1	`y`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes37.0ms (0.1%)

Memory

7.1MiB live, 90.5MiB allocated

Counts

28 → 1

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	(.f64 (.f64 x y) y)
10.0ms	x
9.0ms	y
7.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
70.7%	1	`x`
70.7%	1	`(exp.f64 (.f64 (.f64 x y) y))`
70.7%	1	`(.f64 (.f64 x y) y)`
70.7%	1	`y`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes33.0ms (0.1%)

Memory

-7.4MiB live, 70.3MiB allocated

Counts

27 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
70.3%	1	`y`
70.3%	1	`x`
70.3%	1	`(exp.f64 (.f64 (.f64 x y) y))`
70.3%	1	`(.f64 (.f64 x y) y)`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes25.0ms (0.1%)

Memory

11.1MiB live, 50.1MiB allocated

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

7.0ms	x
6.0ms	y
6.0ms	(.f64 (.f64 x y) y)
5.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
70.5%	2	`(.f64 (.f64 x y) y)`
69.3%	2	`x`
70.5%	2	`(exp.f64 (.f64 (.f64 x y) y))`
70.1%	2	`y`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes20.0ms (0.1%)

Memory

-3.6MiB live, 38.7MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
66.6%	1	`x`
66.6%	1	`y`
68.3%	2	`(exp.f64 (.f64 (.f64 x y) y))`
68.3%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes7.0ms (0%)

Memory

15.3MiB live, 15.3MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes9.0ms (0%)

Memory

-18.5MiB live, 20.4MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
66.6%	1	`y`
66.6%	1	`(exp.f64 (.f64 (.f64 x y) y))`
66.6%	1	`(.f64 (.f64 x y) y)`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes8.0ms (0%)

Memory

18.4MiB live, 18.4MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
66.8%	2	`(.f64 (.f64 x y) y)`
66.8%	2	`(exp.f64 (.f64 (.f64 x y) y))`
56.4%	1	`x`
65.3%	2	`y`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes5.0ms (0%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
60.6%	2	`y`
60.8%	2	`(.f64 (.f64 x y) y)`
60.8%	2	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes23.0ms (0.1%)

Memory

-33.8MiB live, 5.3MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	(.f64 (.f64 x y) y)
1.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
60.8%	2	`(exp.f64 (.f64 (.f64 x y) y))`
60.8%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes5.0ms (0%)

Memory

9.0MiB live, 9.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
56.4%	1	`x`
56.4%	1	`y`
56.4%	1	`(exp.f64 (.f64 (.f64 x y) y))`
56.4%	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	-8.604846614535582e+24	-0.4376290625436109

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	-8.604846614535582e+24	-0.4376290625436109

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	1.0000000000442844	+inf

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.428424663817651e-11	23424682240419756.0

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	23424682240419756.0	1.3227569631057083e+51

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000442844	+inf

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000442844	+inf

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	23424682240419756.0	1.3227569631057083e+51

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify10.0ms (0%)

Memory

13.1MiB live, 13.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	502
1	121	502

Stop Event

1×

saturated

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 x y) y))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -5000000000000000452984832 binary64)) (exp.f64 (.f64 x y)) #s(approx (exp ( (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -5000000000000000452984832 binary64)) (exp.f64 x) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) #s(approx (+ (* x (* (* y y) 1/6)) 1/2) (.f64 x (.f64 (*.f64 y y) #s(literal 1/6 binary64)))) x) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* x (* x (* y y))) (+ (* x (* (* y y) 1/6)) 1/2)) x) (.f64 (.f64 y y) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (*.f64 y y))))))) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)))) x (fma.f64 x (.f64 y y) #s(literal 1 binary64))))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x (.f64 x (.f64 y y)))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 7737125245533627/154742504910672534362390528 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) (fma.f64 x #s(approx (+ (* x (* 1/2 (* y y))) y) (.f64 x (.f64 y (*.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 40000000000000000 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* 1/2 (* y y))) y)) 1) (.f64 x (.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)))))))
#s(approx (exp (* (* x y) y)) (fma.f64 x (*.f64 y y) #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* x (* y y)) 1) (.f64 x (.f64 y y)))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) (fma.f64 x y #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 40000000000000000 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x y) 1) (*.f64 x y))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Outputs
(exp.f64 (.f64 (.f64 x y) y))
(exp.f64 (.f64 y (.f64 x y)))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -5000000000000000452984832 binary64)) (exp.f64 (.f64 x y)) #s(approx (exp ( (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal -5000000000000000452984832 binary64)) (exp.f64 (.f64 x y)) #s(approx (exp ( (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -5000000000000000452984832 binary64)) (exp.f64 x) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal -5000000000000000452984832 binary64)) (exp.f64 x) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x (.f64 y y))) #s(approx (+ (* x (* (* y y) 1/6)) 1/2) (.f64 x (.f64 (*.f64 y y) #s(literal 1/6 binary64)))) x) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* x (* x (* y y))) (+ (* x (* (* y y) 1/6)) 1/2)) x) (.f64 (.f64 y y) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (*.f64 y y))))))) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)))) x (fma.f64 x (.f64 y y) #s(literal 1 binary64))))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 x (.f64 y y)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 x (.f64 x (.f64 y y)))))))
(if (<=.f64 (exp.f64 (.f64 y (.f64 x y))) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) (+ (* x (* (* x (* y y)) 1/2)) x)) 1) (.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 y y) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 7737125245533627/154742504910672534362390528 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) (fma.f64 x #s(approx (+ (* x (* 1/2 (* y y))) y) (.f64 x (.f64 y (*.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal 7737125245533627/154742504910672534362390528 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) (fma.f64 x #s(approx (+ (* x (* 1/2 (* y y))) y) (.f64 x (.f64 y (*.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 40000000000000000 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* 1/2 (* y y))) y)) 1) (.f64 x (.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)))))))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal 40000000000000000 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x (+ (* x (* 1/2 (* y y))) y)) 1) (.f64 x (.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)))))))
#s(approx (exp (* (* x y) y)) (fma.f64 x (*.f64 y y) #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* x (* y y)) 1) (.f64 x (.f64 y y)))))
(if (<=.f64 (exp.f64 (.f64 y (.f64 x y))) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* x (* y y)) 1) (.f64 x (.f64 y y)))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) (fma.f64 x y #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (.f64 y (.f64 x y))) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) (fma.f64 x y #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 40000000000000000 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x y) 1) (*.f64 x y))))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal 40000000000000000 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* x y) 1) (*.f64 x y))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

soundness20.1s (70.9%)

Memory

14.8MiB live, 1 049.9MiB allocated

Rules

15 850×	`lower-fma.f64`
15 850×	`lower-fma.f32`
15 458×	`lower-fma.f64`
15 458×	`lower-fma.f32`
13 146×	`lower-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	233	4409
1	781	4397
2	2397	4285
3	7177	4285
0	8033	3973
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	25	172
0	43	172
1	166	172
2	1257	161
0	8121	158
0	194	2996
1	639	2996
2	2014	2932
3	5690	2924
0	8385	2714
0	237	5222
1	796	5210
2	2538	5020
3	7422	5020
0	8164	4686

Stop Event

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

Compiler

Compiled 422 to 141 computations (66.6% saved)

preprocess77.0ms (0.3%)

Memory: -10.2MiB live, 180.4MiB allocated
Remove: (abs y)
Compiler: Compiled 662 to 140 computations (78.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

start0.0ms (0%)

analyze0.0ms (0%)

sample758.0ms (2.7%)

explain69.0ms (0.2%)

preprocess26.0ms (0.1%)

eval0.0ms (0%)

prune9.0ms (0%)

simplify6.0ms (0%)

localize17.0ms (0.1%)

series9.0ms (0%)

simplify218.0ms (0.8%)

rewrite42.0ms (0.1%)

eval7.0ms (0%)

prune19.0ms (0.1%)

simplify239.0ms (0.8%)

localize85.0ms (0.3%)

series26.0ms (0.1%)

simplify510.0ms (1.8%)

rewrite367.0ms (1.3%)

eval131.0ms (0.5%)

prune165.0ms (0.6%)

simplify496.0ms (1.7%)

localize148.0ms (0.5%)

series26.0ms (0.1%)

simplify568.0ms (2%)

rewrite617.0ms (2.2%)

eval224.0ms (0.8%)

prune345.0ms (1.2%)

simplify421.0ms (1.5%)

localize304.0ms (1.1%)

series42.0ms (0.1%)

simplify486.0ms (1.7%)

rewrite473.0ms (1.7%)

eval187.0ms (0.7%)

prune476.0ms (1.7%)

regimes146.0ms (0.5%)

regimes95.0ms (0.3%)

regimes57.0ms (0.2%)

regimes52.0ms (0.2%)

regimes46.0ms (0.2%)

regimes101.0ms (0.4%)

regimes37.0ms (0.1%)

regimes33.0ms (0.1%)

regimes25.0ms (0.1%)

regimes20.0ms (0.1%)

regimes7.0ms (0%)

regimes9.0ms (0%)

regimes8.0ms (0%)

regimes5.0ms (0%)

regimes23.0ms (0.1%)

regimes5.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify10.0ms (0%)

soundness20.1s (70.9%)

preprocess77.0ms (0.3%)

end0.0ms (0%)

Profiling

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