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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

sample672.0ms (2.4%)

Memory

29.8MiB live, 623.3MiB allocated

Samples

419.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 228.0ms

ival-mult: 153.0ms (67.2% of total)

ival-exp: 66.0ms (29% of total)

ival-true: 5.0ms (2.2% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain75.0ms (0.3%)

Memory

-19.0MiB live, 104.4MiB 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

28.0ms

512×

valid

Compiler

Compiled 44 to 19 computations (56.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 12.0ms (72.5% of total)

ival-exp: 4.0ms (24.2% of total)

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

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

preprocess26.0ms (0.1%)

Memory

5.9MiB live, 45.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

Compiler

Compiled 8 to 5 computations (37.5% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB 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)

simplify4.0ms (0%)

Memory

11.7MiB live, 11.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize17.0ms (0.1%)

Memory

0.2MiB live, 38.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0	(exp.f64 (.f64 (.f64 x y) y))
accuracy	0.140625	(.f64 (.f64 x y) y)

Samples

13.0ms

256×

valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

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

ival-mult: 3.0ms (57.4% of total)

ival-exp: 2.0ms (38.3% of total)

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

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

series45.0ms (0.2%)

Memory

-28.1MiB live, 10.3MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

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

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

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

Calls

6 calls:

Time	Variable		Point	Expression
39.0ms	y	@	-inf	((exp (* (* x y) y)) (* (* x y) y) (* x y))
1.0ms	x	@	-inf	((exp (* (* x y) y)) (* (* x y) y) (* x y))
1.0ms	x	@	0	((exp (* (* x y) y)) (* (* x y) y) (* x y))
1.0ms	y	@	0	((exp (* (* x y) y)) (* (* x y) y) (* x y))
1.0ms	x	@	inf	((exp (* (* x y) y)) (* (* x y) y) (* x y))

simplify151.0ms (0.5%)

Memory

11.0MiB live, 86.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

Calls

Call 1

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

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

rewrite35.0ms (0.1%)

Memory

-4.8MiB live, 33.8MiB allocated

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

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

Counts

3 → 7

Calls

Call 1

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

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

eval7.0ms (0%)

Memory: 13.0MiB live, 13.0MiB allocated
Compiler: Compiled 565 to 30 computations (94.7% saved)

prune9.0ms (0%)

Memory

-17.9MiB live, 21.5MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

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

Accuracy

100.0%

Counts

80 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
▶	84.6%	(exp.f64 (*.f64 x y))
	67.7%	(exp.f64 y)
	60.2%	(exp.f64 x)
▶	74.4%	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64)))
▶	75.5%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64)))
▶	68.3%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
▶	48.9%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 148 to 85 computations (42.6% saved)

simplify347.0ms (1.3%)

Memory

-2.7MiB live, 284.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize72.0ms (0.3%)

Memory

-2.9MiB live, 161.5MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.4877199639789195	(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64))
accuracy	1.2602337924491547	(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (*.f64 y x) #s(literal 1/2 binary64)) x)
accuracy	3.0765434177472306	(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64))
accuracy	16.353420853237846	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64)))
accuracy	3.0354951424870995	(.f64 (.f64 (*.f64 y y) x) x)
accuracy	3.0599469096469005	(fma.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64))
accuracy	10.218382040781849	(.f64 (.f64 y y) x)
accuracy	18.024042487032034	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64)))
accuracy	0	(*.f64 y y)
accuracy	4.724743672094485	(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
accuracy	23.13344753258619	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
accuracy	32.6887518676688	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
accuracy	0	(*.f64 x y)
accuracy	0.006191259768442017	(exp.f64 (*.f64 x y))

Samples

53.0ms

256×

valid

Compiler

Compiled 191 to 29 computations (84.8% saved)

Precisions

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

ival-mult: 25.0ms (64.5% of total)

ival-add: 6.0ms (15.5% of total)

ival-exp: 3.0ms (7.7% 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)

series28.0ms (0.1%)

Memory

27.9MiB live, 67.2MiB allocated

Counts

16 → 372

Calls

Call 1

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

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

Calls

6 calls:

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

simplify298.0ms (1.1%)

Memory

-1.5MiB live, 149.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 368

Calls

Call 1

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

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

rewrite317.0ms (1.2%)

Memory

-23.5MiB live, 344.2MiB allocated

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Counts

16 → 380

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64))))
(.f64 (exp.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (exp.f64 (.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(pow.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 y #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 y) x)
(pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (.f64 y #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 x) (fma.f64 y #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 x) y)
(exp.f64 (*.f64 (log.f64 (exp.f64 y)) x))
(exp.f64 (*.f64 y x))
(.f64 (.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 x (log.f64 (exp.f64 y)))
(*.f64 x y)
(+.f64 (log.f64 (exp.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))))) (log.f64 (exp.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))))))
(log.f64 (exp.f64 (*.f64 y x)))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 y x) y #s(literal -1 binary64)))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y x) y #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (.f64 (*.f64 y y) x)))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x)))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) x #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (fma.f64 (.f64 y x) y #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y x) y #s(literal -1 binary64))))) (+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) y #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) y #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 y y) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 y x) y #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x))) (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)))) (fma.f64 (.f64 y x) y #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x))) (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y)))) (fma.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 y x) y #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 y x) y #s(literal -1 binary64)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 y y) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (.f64 (.f64 y y) x)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 y y) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) y #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (.f64 (.f64 y y) x))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 y y) x) y) (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (.f64 (.f64 y y) x))) (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) x #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 y y) #s(literal -1 binary64))) (fma.f64 (*.f64 y x) y #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x)))))
(neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 y y) #s(literal -1 binary64)) (neg.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)))))
(neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x))))))
(fma.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) y #s(literal -1 binary64)))))
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x) #s(literal 1 binary64))
(fma.f64 y (*.f64 y x) #s(literal 1 binary64))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x))) (/.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) y #s(literal -1 binary64))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) y #s(literal -1 binary64)))))
(+.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(.f64 (.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
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eval100.0ms (0.4%)

Memory: 17.6MiB live, 247.1MiB allocated
Compiler: Compiled 25 663 to 1 465 computations (94.3% saved)

prune170.0ms (0.6%)

Memory

1.3MiB live, 322.2MiB allocated

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	792	13	805
Fresh	1	1	2
Picked	2	3	5
Done	0	1	1
Total	795	18	813

Accuracy

100.0%

Counts

813 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	84.6%	(exp.f64 (*.f64 x y))
	60.2%	(exp.f64 x)
✓	74.4%	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64)))
▶	65.0%	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 y (.f64 y (.f64 x x))) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64)))
	71.7%	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 y (.f64 (.f64 y x) (.f64 #s(literal 1/2 binary64) x)) x) (.f64 y y) #s(literal 1 binary64)))
▶	77.8%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y x) (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) y) x #s(literal 1 binary64)))
▶	74.8%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (+ (* (* 1/6 y) (* y x)) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/6 binary64)) y) y)) y) (*.f64 y x) #s(literal 1 binary64)))
	63.9%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
	37.6%	#s(approx (exp (* (* x y) y)) (/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x)))))
	22.5%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x (.f64 y y))) (.f64 (.f64 y y) (.f64 y y)))))
	28.2%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) y) y)))
	22.1%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
✓	48.9%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
	53.5%	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)))
	65.5%	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64)))
▶	54.9%	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
▶	47.9%	#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))

Compiler

Compiled 534 to 275 computations (48.5% saved)

simplify125.0ms (0.5%)

Memory

-8.8MiB live, 113.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

4 382×	`lower-fma.f32`
4 364×	`lower-fma.f64`
2 370×	`lower-*.f32`
2 338×	`lower-*.f64`
2 028×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	468
0	80	460
1	159	460
2	331	460
3	739	444
4	1022	444
5	1719	444
6	3242	444
7	5051	444
8	5309	444
9	5403	444
10	5407	444
11	5407	444
12	6005	444
13	6228	444
14	6258	444
15	6258	444
0	8177	436

Stop Event

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

Calls

Call 1

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

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

localize385.0ms (1.4%)

Memory

-1.3MiB live, 273.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	3.0354951424870995	(.f64 (.f64 (*.f64 y y) x) x)
accuracy	10.218382040781849	(.f64 (.f64 y y) x)
accuracy	16.353420853237846	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (+ (* (* 1/6 y) (* y x)) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/6 binary64)) y) y)) y) (*.f64 y x) #s(literal 1 binary64)))
accuracy	29.62344727800651	#s(approx (+ (* (* (+ (* (* 1/6 y) (* y x)) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/6 binary64)) y) y))
accuracy	3.0599469096469005	(fma.f64 (fma.f64 (.f64 y (.f64 y (.f64 x x))) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64))
accuracy	4.471017099484223	(.f64 y (.f64 y (*.f64 x x)))
accuracy	9.614918066643032	(.f64 y (.f64 x x))
accuracy	18.024042487032034	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 y (.f64 y (.f64 x x))) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64)))
accuracy	0.015625	(fma.f64 (.f64 (.f64 x x) y) #s(literal 1/2 binary64) x)
accuracy	2.397171351389946	(fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
accuracy	9.614918066643032	(.f64 (.f64 x x) y)
accuracy	22.78176461931148	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
accuracy	0	(fma.f64 y x #s(literal 1 binary64))
accuracy	28.93604138267293	#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
accuracy	1.2602337924491547	(.f64 (fma.f64 (.f64 y x) (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x)
accuracy	2.1124919965646853	(fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y x) (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) y) x #s(literal 1 binary64))
accuracy	3.0765434177472306	(fma.f64 (.f64 (fma.f64 (.f64 y x) (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64))
accuracy	16.353420853237846	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y x) (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) y) x #s(literal 1 binary64)))

Samples

351.0ms

256×

valid

Compiler

Compiled 352 to 49 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 331.0ms

ival-add: 173.0ms (52.3% of total)

ival-mult: 148.0ms (44.7% of total)

ival-exp: 6.0ms (1.8% of total)

const: 4.0ms (1.2% of total)

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

exact: 0.0ms (0% of total)

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

series38.0ms (0.1%)

Memory

14.5MiB live, 90.3MiB allocated

Counts

23 → 552

Calls

Call 1

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

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

Calls

6 calls:

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

simplify337.0ms (1.2%)

Memory

9.2MiB live, 329.2MiB allocated

Algorithm

1×	egg-herbie

Rules

21 004×	`lower-fma.f64`
21 004×	`lower-fma.f32`
5 362×	`lower-*.f64`
5 362×	`lower-*.f32`
2 522×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	286	5792
1	976	5670
2	2888	5452
3	7979	5452
0	8102	5062

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 544

Calls

Call 1

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

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

rewrite269.0ms (1%)

Memory

-11.4MiB live, 344.8MiB allocated

Rules

6 286×	`lower-fma.f32`
6 268×	`lower-fma.f64`
5 412×	`lower-*.f32`
5 380×	`lower-*.f64`
4 000×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	383
0	80	375
1	286	357
2	1639	349
0	8155	349

Stop Event

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

Counts

23 → 518

Calls

Call 1

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

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

eval172.0ms (0.6%)

Memory: 13.3MiB live, 378.0MiB allocated
Compiler: Compiled 33 782 to 2 087 computations (93.8% saved)

prune511.0ms (1.9%)

Memory

-4.6MiB live, 517.3MiB allocated

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	1 057	5	1 062
Fresh	5	4	9
Picked	1	4	5
Done	0	4	4
Total	1 063	17	1 080

Accuracy

100.0%

Counts

1 080 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	84.6%	(exp.f64 (*.f64 x y))
	60.2%	(exp.f64 x)
✓	74.4%	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64)))
✓	65.0%	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 y (.f64 y (.f64 x x))) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64)))
✓	77.8%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y x) (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) y) x #s(literal 1 binary64)))
▶	77.0%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 #s(approx (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 y y) x) x)) y) y)) y) y) x #s(literal 1 binary64)))
▶	63.9%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
▶	28.9%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* y (* y (* x x))) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64)) x) y) x)))
	22.1%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
✓	48.9%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
▶	56.0%	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 y x) x) x) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)))
	65.5%	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64)))
✓	54.9%	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
✓	47.9%	#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
	21.5%	#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* x x) y) 1/2) x) y) 1) (.f64 (.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) x) y)))
▶	10.4%	#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x)))

Compiler

Compiled 350 to 193 computations (44.9% saved)

simplify101.0ms (0.4%)

Memory

-10.0MiB live, 66.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

2 866×	`lower-fma.f32`
2 856×	`lower-fma.f64`
1 650×	`lower-*.f32`
1 614×	`lower-*.f64`
1 158×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	511
0	86	511
1	170	497
2	382	469
3	874	445
4	1049	445
5	1169	445
6	1212	445
7	1244	445
8	1250	445
9	1779	445
10	1825	445
11	1851	445
12	1862	445
13	1862	445
14	1890	445
15	1891	445
0	1891	425

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize160.0ms (0.6%)

Memory

-7.9MiB live, 235.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	2.1530643417152944	(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 y x) x) x) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))
accuracy	5.447327311848626	(fma.f64 (fma.f64 (.f64 (.f64 (.f64 y x) x) x) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) y x)
accuracy	9.06243394656659	(fma.f64 (.f64 (.f64 (.f64 y x) x) x) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
accuracy	21.28756238963145	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 y x) x) x) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)))
accuracy	4.287666889337232	(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64)) x) y) x)
accuracy	4.974719819682163	(.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64)) x)
accuracy	18.024042487032034	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* y (* y (* x x))) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64)) x) y) x)))
accuracy	29.61428849109617	#s(approx (+ (* (+ (* (* y (* y (* x x))) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64)) x) y) x))
accuracy	0	(*.f64 y x)
accuracy	0.07421875	(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
accuracy	23.13344753258619	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
accuracy	0	(*.f64 y x)
accuracy	28.93604138267293	#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x)))
accuracy	29.797337366549232	#s(approx (+ (* y x) 1) (*.f64 y x))
accuracy	3.0354951424870995	(.f64 (.f64 (*.f64 y y) x) x)
accuracy	10.218382040781849	(.f64 (.f64 y y) x)
accuracy	16.353420853237846	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 #s(approx (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 y y) x) x)) y) y)) y) y) x #s(literal 1 binary64)))
accuracy	29.62344727800651	#s(approx (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 y y) x) x)) y) y))

Samples

111.0ms

256×

valid

Compiler

Compiled 338 to 52 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-mult: 51.0ms (55.7% of total)

ival-add: 31.0ms (33.9% of total)

const: 6.0ms (6.6% of total)

ival-exp: 4.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

series103.0ms (0.4%)

Memory

2.5MiB live, 77.8MiB allocated

Counts

21 → 504

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
38.0ms	x	@	inf	((exp (* (* x y) y)) (+ (* (* (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) y) x) 1) (* (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) y) (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) (exp (* x y)) (+ (* y x) 1) (* y x) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (exp (* (* x y) y)) (+ (* (+ (* (* y (* y (* x x))) 1/2) x) (* y y)) 1) (* (* (* (* (* (* y y) y) 1/2) x) y) x) (* (* (* (* (* y y) y) 1/2) x) y) (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) (exp (* x y)) (+ (* (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) y) 1) (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) (* (* y y) x) (* (* (* y y) x) x) (* (* (* (* y y) y) 1/2) x))
4.0ms	x	@	-inf	((exp (* (* x y) y)) (+ (* (* (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) y) x) 1) (* (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) y) (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) (exp (* x y)) (+ (* y x) 1) (* y x) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (exp (* (* x y) y)) (+ (* (+ (* (* y (* y (* x x))) 1/2) x) (* y y)) 1) (* (* (* (* (* (* y y) y) 1/2) x) y) x) (* (* (* (* (* y y) y) 1/2) x) y) (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) (exp (* x y)) (+ (* (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) y) 1) (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) (* (* y y) x) (* (* (* y y) x) x) (* (* (* (* y y) y) 1/2) x))
4.0ms	y	@	-inf	((exp (* (* x y) y)) (+ (* (* (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) y) x) 1) (* (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) y) (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) (exp (* x y)) (+ (* y x) 1) (* y x) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (exp (* (* x y) y)) (+ (* (+ (* (* y (* y (* x x))) 1/2) x) (* y y)) 1) (* (* (* (* (* (* y y) y) 1/2) x) y) x) (* (* (* (* (* y y) y) 1/2) x) y) (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) (exp (* x y)) (+ (* (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) y) 1) (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) (* (* y y) x) (* (* (* y y) x) x) (* (* (* (* y y) y) 1/2) x))
4.0ms	x	@	0	((exp (* (* x y) y)) (+ (* (* (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) y) x) 1) (* (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) y) (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) (exp (* x y)) (+ (* y x) 1) (* y x) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (exp (* (* x y) y)) (+ (* (+ (* (* y (* y (* x x))) 1/2) x) (* y y)) 1) (* (* (* (* (* (* y y) y) 1/2) x) y) x) (* (* (* (* (* y y) y) 1/2) x) y) (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) (exp (* x y)) (+ (* (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) y) 1) (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) (* (* y y) x) (* (* (* y y) x) x) (* (* (* (* y y) y) 1/2) x))
4.0ms	y	@	inf	((exp (* (* x y) y)) (+ (* (* (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) y) x) 1) (* (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) y) (* (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) y) (exp (* x y)) (+ (* y x) 1) (* y x) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (exp (* (* x y) y)) (+ (* (+ (* (* y (* y (* x x))) 1/2) x) (* y y)) 1) (* (* (* (* (* (* y y) y) 1/2) x) y) x) (* (* (* (* (* y y) y) 1/2) x) y) (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) (exp (* x y)) (+ (* (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) y) 1) (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) (* (* y y) x) (* (* (* y y) x) x) (* (* (* (* y y) y) 1/2) x))

simplify287.0ms (1%)

Memory

36.8MiB live, 308.8MiB allocated

Algorithm

1×	egg-herbie

Rules

30 182×	`lower-fma.f64`
30 182×	`lower-fma.f32`
6 566×	`lower-*.f64`
6 566×	`lower-*.f32`
4 602×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	362	5035
1	1238	4960
2	4155	4767
0	8162	4457

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 500

Calls

Call 1

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

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

rewrite390.0ms (1.4%)

Memory

-4.3MiB live, 237.4MiB allocated

Rules

6 826×	`lower-fma.f32`
6 816×	`lower-fma.f64`
5 918×	`lower-*.f32`
5 882×	`lower-*.f64`
3 914×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	417
0	86	407
1	285	373
2	1806	373
0	8466	357

Stop Event

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

Counts

21 → 265

Calls

Call 1

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

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

eval170.0ms (0.6%)

Memory: 13.7MiB live, 251.1MiB allocated
Compiler: Compiled 22 832 to 1 297 computations (94.3% saved)

prune391.0ms (1.4%)

Memory

-15.6MiB live, 263.4MiB allocated

Pruning

19 alts after pruning (9 fresh and 10 done)

	Pruned	Kept	Total
New	825	6	831
Fresh	1	3	4
Picked	2	3	5
Done	1	7	8
Total	829	19	848

Accuracy

100.0%

Counts

848 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.6%	(exp.f64 (*.f64 x y))
	60.2%	(exp.f64 x)
✓	74.4%	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64)))
✓	65.0%	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 y (.f64 y (.f64 x x))) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64)))
✓	77.8%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y x) (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) y) x #s(literal 1 binary64)))
✓	77.0%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 #s(approx (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 y y) x) x)) y) y)) y) y) x #s(literal 1 binary64)))
✓	63.9%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
	29.6%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* y (* y (* x x))) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64)) y) x) x)))
	22.1%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
✓	48.9%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
✓	54.9%	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
	57.3%	#s(approx (exp (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (.f64 (.f64 y x) x) x) #s(literal 1/6 binary64))) y x) y #s(literal 1 binary64)))
	70.2%	#s(approx (exp (* x y)) (fma.f64 #s(approx (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y y) x) x) x) #s(literal 1/6 binary64))) y #s(literal 1 binary64)))
	54.8%	#s(approx (exp (* x y)) (fma.f64 #s(approx (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) (.f64 (.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal 1/2 binary64) x))) x) (.f64 x x))) y #s(literal 1 binary64)))
✓	47.9%	#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
	27.8%	#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) y) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) x) x) x) y) #s(literal 1/6 binary64))))
	25.1%	#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) y) 1) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y))) y) y) y)))
	21.5%	#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* x x) y) 1/2) x) y) 1) (.f64 (.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) x) y)))
✓	10.4%	#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x)))

Compiler

Compiled 727 to 264 computations (63.7% saved)

regimes106.0ms (0.4%)

Memory

-6.3MiB live, 114.6MiB 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 (+ (* y x) 1) (*.f64 y x)))
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* x x) y) 1/2) x) y) 1) (.f64 (.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) x) y)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) y) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) x) x) x) y) #s(literal 1/6 binary64))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* y (* y (* x x))) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64)) x) y) x)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* y (* y (* x x))) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64)) y) x) x)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) y) y)))
#s(approx (exp (* x y)) (fma.f64 #s(approx (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y y) x) x) x) #s(literal 1/6 binary64))) y #s(literal 1 binary64)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (.f64 (.f64 y x) x) x) #s(literal 1/6 binary64))) y x) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 y (.f64 (.f64 y x) (.f64 #s(literal 1/2 binary64) x)) x) (.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 y (.f64 y (.f64 x x))) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64)))
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) y) 1) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y))) y) y) y)))
#s(approx (exp (* x y)) (fma.f64 #s(approx (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) (.f64 (.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal 1/2 binary64) x))) x) (.f64 x x))) y #s(literal 1 binary64)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) y) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 y x) x) x) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (+ (* (* 1/6 y) (* y x)) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/6 binary64)) y) y)) y) (*.f64 y x) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 #s(approx (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 y y) x) x)) y) y)) y) y) x #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x (.f64 y y))) (.f64 (.f64 y y) (.f64 y y)))))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y x) (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) y) x #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 y x) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) (.f64 y x) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (.f64 y y) x) y) (.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x)))))
(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:

74.0ms	(.f64 (.f64 x y) y)
12.0ms	x
10.0ms	y
9.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes40.0ms (0.1%)

Memory

4.3MiB live, 80.6MiB allocated

Counts

31 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

11.0ms	x
10.0ms	y
9.0ms	(.f64 (.f64 x y) y)
9.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
91.0%	2	`x`
91.5%	2	`y`
96.6%	2	`(exp.f64 (.f64 (.f64 x y) y))`
96.6%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes44.0ms (0.2%)

Memory

-30.4MiB live, 67.9MiB allocated

Counts

30 → 2

Calls

Call 1

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

Outputs

(exp.f64 x)

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

Calls

4 calls:

17.0ms	x
9.0ms	y
8.0ms	(.f64 (.f64 x y) y)
8.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
81.0%	2	`x`
83.1%	3	`y`
90.9%	2	`(exp.f64 (.f64 (.f64 x y) y))`
90.9%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes25.0ms (0.1%)

Memory

30.2MiB live, 30.2MiB allocated

Counts

28 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
77.8%	1	`y`
81.2%	2	`(exp.f64 (.f64 (.f64 x y) y))`
81.2%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes25.0ms (0.1%)

Memory

-24.0MiB live, 53.2MiB allocated

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

9.0ms	(.f64 (.f64 x y) y)
9.0ms	x
6.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
77.0%	1	`x`
80.5%	2	`(exp.f64 (.f64 (.f64 x y) y))`
80.5%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes31.0ms (0.1%)

Memory

-8.5MiB live, 71.5MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
74.8%	1	`x`
76.7%	2	`y`
78.3%	2	`(exp.f64 (.f64 (.f64 x y) y))`
78.3%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes13.0ms (0%)

Memory

34.2MiB live, 34.2MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
77.8%	2	`(exp.f64 (.f64 (.f64 x y) y))`
77.8%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes25.0ms (0.1%)

Memory

-18.6MiB live, 59.2MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
74.4%	1	`x`
76.3%	2	`y`
74.4%	1	`(exp.f64 (.f64 (.f64 x y) y))`
74.4%	1	`(.f64 (.f64 x y) y)`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes22.0ms (0.1%)

Memory

2.2MiB live, 41.1MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
73.5%	2	`x`
75.3%	2	`(.f64 (.f64 x y) y)`
75.3%	2	`(exp.f64 (.f64 (.f64 x y) y))`
76.5%	3	`y`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes11.0ms (0%)

Memory

22.2MiB live, 22.2MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
73.8%	3	`y`
75.0%	2	`(exp.f64 (.f64 (.f64 x y) y))`
75.0%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes8.0ms (0%)

Memory

-27.3MiB live, 13.5MiB 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 (+ (* y x) 1) (*.f64 y x)))
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* x x) y) 1/2) x) y) 1) (.f64 (.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) x) y)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) y) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) x) x) x) y) #s(literal 1/6 binary64))))

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
74.1%	2	`(.f64 (.f64 x y) y)`
74.1%	2	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes13.0ms (0%)

Memory

26.5MiB live, 26.5MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes4.0ms (0%)

Memory

-32.4MiB live, 6.2MiB 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 (+ (* y x) 1) (*.f64 y x)))
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* x x) y) 1/2) x) y) 1) (.f64 (.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) x) y)))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
68.3%	1	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0%)

Memory

19.4MiB live, 19.4MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes6.0ms (0%)

Memory

13.1MiB live, 13.1MiB 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 (+ (* y x) 1) (*.f64 y x)))
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes8.0ms (0%)

Memory

-24.9MiB live, 14.2MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes3.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes5.0ms (0%)

Memory

10.2MiB live, 10.2MiB 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
48.9%	1	`x`
48.9%	1	`y`
48.9%	1	`(exp.f64 (.f64 (.f64 x y) y))`
48.9%	1	`(.f64 (.f64 x y) y)`

Compiler

Compiled 21 to 13 computations (38.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8843793569466.256	-3.966299253995656e-5

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8843793569466.256	-3.966299253995656e-5

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8843793569466.256	-3.966299253995656e-5

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8843793569466.256	-3.966299253995656e-5

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8843793569466.256	-3.966299253995656e-5

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8843793569466.256	-3.966299253995656e-5

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch13.0ms (0%)

Memory

-23.1MiB live, 14.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.124586073822177e+95	1.1329175994628118e+98

Samples

8.0ms

128×

valid

Compiler

Compiled 307 to 170 computations (44.6% saved)

Precisions

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

ival-mult: 4.0ms (76.8% of total)

ival-exp: 1.0ms (19.2% of total)

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

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

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	581291516544408.5	3.127813511218763e+19

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000003579616712	+inf

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000003579616712	+inf

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch17.0ms (0.1%)

Memory

22.8MiB live, 22.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	8.417265282609825e+79	1.9544141981772674e+80
10.0ms	7.79960017657772e-124	1.558490312573872e-120

Samples

8.0ms

208×

valid

Compiler

Compiled 336 to 205 computations (39% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 3.0ms (70.4% of total)

ival-exp: 2.0ms (46.9% of total)

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

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

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000003579616712	+inf

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000003579616712	+inf

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000003579616712	+inf

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify16.0ms (0.1%)

Memory

-22.1MiB live, 16.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	892
1	182	892

Stop Event

1×

saturated

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 x y) y))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -5000000000000 binary64)) (exp.f64 (.f64 x y)) #s(approx (exp ( (* x y) y)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y x) (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) y) x #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -5000000000000 binary64)) (exp.f64 x) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y x) (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) y) x #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -5000000000000 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) y) 1) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y))) y) y) y))) #s(approx (exp ( (* x y) y)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y x) (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) y) x #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -5000000000000 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) y) 1) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y))) y) y) y))) #s(approx (exp ( (* x y) y)) (fma.f64 (.f64 (.f64 #s(approx (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 y y) x) x)) y) y)) y) y) x #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -5000000000000 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) y) 1) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y))) y) y) y))) #s(approx (exp ( (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (+ (* (* 1/6 y) (* y x)) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/6 binary64)) y) y)) y) (*.f64 y x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -5000000000000 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) y) 1) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y))) y) y) y))) #s(approx (exp ( (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal 111999999999999996098817294532853288806214978457394349636510864419267694586756969394815829616361472 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* y (* y (* x x))) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64)) x) y) x))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 1000000000000000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (+ (* (* y (* y (* x x))) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64)) y) x) x))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (+ (* (* y (* y (* x x))) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64)) x) y) x))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) y) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) x) x) x) y) #s(literal 1/6 binary64)))))
(if (<=.f64 y #s(literal 4506400090632763/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 194999999999999999393687413252833772385947009280401375748263009780873084547366912 binary64)) #s(approx (exp ( x y)) (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 5000000000000000452984832 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Outputs
(exp.f64 (.f64 (.f64 x y) y))
(exp.f64 (.f64 (.f64 y x) y))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -5000000000000 binary64)) (exp.f64 (.f64 x y)) #s(approx (exp ( (* x y) y)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y x) (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) y) x #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -5000000000000 binary64)) (exp.f64 (.f64 y x)) #s(approx (exp ( (* x y) y)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y x) (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) y) x #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -5000000000000 binary64)) (exp.f64 x) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y x) (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) y) x #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -5000000000000 binary64)) (exp.f64 x) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y x) (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) y) x #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -5000000000000 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) y) 1) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y))) y) y) y))) #s(approx (exp ( (* x y) y)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y x) (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) y) x #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -5000000000000 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) y) 1) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y)) (.f64 x x)) y) y) y))) #s(approx (exp ( (* x y) y)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y x) (.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)) y) y) x #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -5000000000000 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) y) 1) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y))) y) y) y))) #s(approx (exp ( (* x y) y)) (fma.f64 (.f64 (.f64 #s(approx (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 y y) x) x)) y) y)) y) y) x #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -5000000000000 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) y) 1) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y)) (.f64 x x)) y) y) y))) #s(approx (exp ( (* x y) y)) (fma.f64 (.f64 (.f64 #s(approx (+ (* (* (+ (* (* y x) (* 1/6 y)) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/6 binary64)) y) y)) y) y) x #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -5000000000000 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) y) 1) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y))) y) y) y))) #s(approx (exp ( (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (+ (* (* 1/6 y) (* y x)) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/6 binary64)) y) y)) y) (*.f64 y x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -5000000000000 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) y) 1) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y)) (.f64 x x)) y) y) y))) #s(approx (exp ( (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (+ (* (* 1/6 y) (* y x)) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/6 binary64)) y) y)) y) (*.f64 y x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -5000000000000 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) y) 1) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y))) y) y) y))) #s(approx (exp ( (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -5000000000000 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) y) 1) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y)) (.f64 x x)) y) y) y))) #s(approx (exp ( (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal 111999999999999996098817294532853288806214978457394349636510864419267694586756969394815829616361472 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (+ (* (* y (* y (* x x))) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64)) x) y) x))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 1000000000000000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (+ (* (* y (* y (* x x))) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64)) y) x) x))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal 1000000000000000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (+ (* (* y (* y (* x x))) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64)) y) x) x))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (+ (* (* y (* y (* x x))) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64)) x) y) x))))
(if (<=.f64 (exp.f64 (.f64 (.f64 y x) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (+ (* (* y (* y (* x x))) 1/2) x) (* y y)) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64)) x) y) x))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) y) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) x) x) x) y) #s(literal 1/6 binary64)))))
(if (<=.f64 (exp.f64 (.f64 (.f64 y x) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( x y)) #s(approx (+ (* (+ (* (+ (* (* (* (* y x) x) x) 1/6) (* (* x x) 1/2)) y) x) y) 1) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) x) x) x) y) #s(literal 1/6 binary64)))))
(if (<=.f64 y #s(literal 4506400090632763/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 194999999999999999393687413252833772385947009280401375748263009780873084547366912 binary64)) #s(approx (exp ( x y)) (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))))
(if (<=.f64 (exp.f64 (.f64 (.f64 y x) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))))
(if (<=.f64 (exp.f64 (.f64 (.f64 y x) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (.f64 (.f64 y x) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 5000000000000000452984832 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal 5000000000000000452984832 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

soundness21.1s (76.7%)

Memory

22.2MiB live, 1 317.8MiB allocated

Rules

30 182×	`lower-fma.f64`
30 182×	`lower-fma.f32`
21 004×	`lower-fma.f64`
21 004×	`lower-fma.f32`
14 380×	`lower-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	233	3504
1	770	3433
2	2323	3310
3	6271	3294
0	8320	3054
0	362	5035
1	1238	4960
2	4155	4767
0	8162	4457
0	27	189
0	47	189
1	161	189
2	1094	181
0	8180	181
0	44	392
1	120	392
2	329	388
3	808	384
4	1112	380
5	1239	380
6	1319	380
7	1342	380
8	1356	380
9	2822	380
10	3417	380
11	4208	380
12	5204	380
13	5225	380
14	5225	380
15	5465	380
16	5465	380
17	5465	380
18	5465	380
19	6947	380
20	6947	380
0	6947	368
0	56	417
0	86	407
1	285	373
2	1806	373
0	8466	357
0	286	5792
1	976	5670
2	2888	5452
3	7979	5452
0	8102	5062
0	5	14
0	8	16
1	14	16
2	29	16
3	92	16
4	482	3
5	3914	3
0	9072	3

Stop Event

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

Compiler

Compiled 981 to 370 computations (62.3% saved)

preprocess158.0ms (0.6%)

Memory: 14.4MiB live, 175.1MiB allocated
Remove: (abs y)
Compiler: Compiled 1 058 to 196 computations (81.5% 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%)

sample672.0ms (2.4%)

explain75.0ms (0.3%)

preprocess26.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize17.0ms (0.1%)

series45.0ms (0.2%)

simplify151.0ms (0.5%)

rewrite35.0ms (0.1%)

eval7.0ms (0%)

prune9.0ms (0%)

simplify347.0ms (1.3%)

localize72.0ms (0.3%)

series28.0ms (0.1%)

simplify298.0ms (1.1%)

rewrite317.0ms (1.2%)

eval100.0ms (0.4%)

prune170.0ms (0.6%)

simplify125.0ms (0.5%)

localize385.0ms (1.4%)

series38.0ms (0.1%)

simplify337.0ms (1.2%)

rewrite269.0ms (1%)

eval172.0ms (0.6%)

prune511.0ms (1.9%)

simplify101.0ms (0.4%)

localize160.0ms (0.6%)

series103.0ms (0.4%)

simplify287.0ms (1%)

rewrite390.0ms (1.4%)

eval170.0ms (0.6%)

prune391.0ms (1.4%)

regimes106.0ms (0.4%)

regimes40.0ms (0.1%)

regimes44.0ms (0.2%)

regimes25.0ms (0.1%)

regimes25.0ms (0.1%)

regimes31.0ms (0.1%)

regimes13.0ms (0%)

regimes25.0ms (0.1%)

regimes22.0ms (0.1%)

regimes11.0ms (0%)

regimes8.0ms (0%)

regimes13.0ms (0%)

regimes4.0ms (0%)

regimes9.0ms (0%)

regimes6.0ms (0%)

regimes8.0ms (0%)

regimes3.0ms (0%)

regimes5.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch13.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch17.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify16.0ms (0.1%)

soundness21.1s (76.7%)

preprocess158.0ms (0.6%)

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