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

0.4MiB live, 0.4MiB 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)

sample592.0ms (3%)

Memory

-3.0MiB live, 808.0MiB allocated

Samples

377.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 198.0ms

ival-mult: 123.0ms (62% of total)

ival-exp: 67.0ms (33.8% of total)

ival-true: 6.0ms (3% of total)

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

Bogosity

explain100.0ms (0.5%)

Memory

-21.6MiB live, 77.0MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

23.0ms

512×

valid

Compiler

Compiled 42 to 19 computations (54.8% saved)

Precisions

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

ival-mult: 7.0ms (63.9% of total)

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

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

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

preprocess23.0ms (0.1%)

Memory

32.7MiB live, 32.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	38
1	49	34
2	124	34
3	305	34
4	512	34
5	669	34
6	741	34
7	752	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))
(pow.f64 (pow.f64 (exp.f64 y) y) x)

Symmetry

(abs y)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0%)

Memory

4.5MiB live, 4.5MiB 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))

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

localize21.0ms (0.1%)

Memory

-18.8MiB live, 18.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.0	(exp.f64 (.f64 (.f64 x y) y))
accuracy	0.1640625	(.f64 (.f64 x y) y)

Samples

16.0ms

256×

valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

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

ival-mult: 5.0ms (73% of total)

ival-exp: 2.0ms (29.2% of total)

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

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

series6.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

3 → 9

Calls

Call 1

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

Outputs
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 y)
(exp (* 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)))))))

Calls

6 calls:

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

simplify152.0ms (0.8%)

Memory

-6.2MiB live, 65.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	98
1	120	98
2	329	98
3	808	98
4	1111	98
5	1240	98
6	1320	98
7	1343	98
8	1357	98
9	2755	98
10	3340	98
11	4131	98
12	5079	98
13	5100	98
14	5100	98
15	5337	98
16	5337	98
17	5337	98
18	5337	98
19	6806	98
20	6806	98
0	6806	87

Stop Event

1×	iter limit
1×	saturated

Counts

9 → 9

Calls

Call 1

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

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

rewrite46.0ms (0.2%)

Memory

-0.6MiB live, 45.2MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	12
1	14	12
2	29	12
3	92	12
4	482	3
5	3914	3
0	9045	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)

eval1.0ms (0%)

Memory: 2.7MiB live, 2.7MiB allocated
Compiler: Compiled 110 to 37 computations (66.4% saved)

prune2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	7	4	11
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	7	5	12

Accuracy

100.0%

Counts

12 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
▶	62.0%	(exp.f64 y)
▶	61.5%	(exp.f64 x)
▶	64.1%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
▶	50.1%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify4.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	40
0	17	40
1	27	40
2	33	40
3	34	40
0	34	40

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize31.0ms (0.2%)

Memory

4.4MiB live, 81.9MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 y)
accuracy	0.0	(exp.f64 x)
accuracy	0.0	(*.f64 y y)
accuracy	5.868310392932189	(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
accuracy	25.78630686272826	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
accuracy	31.94817930145082	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Samples

25.0ms

256×

valid

Compiler

Compiled 34 to 13 computations (61.8% saved)

Precisions

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

ival-mult: 9.0ms (54.2% of total)

ival-exp: 7.0ms (42.2% of total)

ival-add: 1.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

6 → 20

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y) (exp x) (exp y))
1.0ms	y	@	-inf	((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y) (exp x) (exp y))
0.0ms	x	@	-inf	((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y) (exp x) (exp y))
0.0ms	x	@	0	((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y) (exp x) (exp y))
0.0ms	y	@	0	((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y) (exp x) (exp y))

simplify163.0ms (0.8%)

Memory

-2.4MiB live, 193.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	173
1	225	173
2	569	173
3	1536	173
4	2332	173
5	4063	173
0	8198	149

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 20

Calls

Call 1

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

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

rewrite279.0ms (1.4%)

Memory

-22.2MiB live, 269.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
0	17	34
1	42	34
2	196	34
3	1590	34
0	8792	34

Stop Event

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

Counts

6 → 227

Calls

Call 1

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

Outputs
#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 (pow.f64 (pow.f64 (fma.f64 (.f64 y y) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y y) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 y y) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 y y) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (*.f64 y y) x) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 y y) x #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 y y) x #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64))) #s(literal -1 binary64)))
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(-.f64 (/.f64 (.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (fma.f64 (.f64 y y) x #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 y y) x #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (.f64 y y) x #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y y) x #s(literal -1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 y y) x #s(literal -1 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y y) x #s(literal -1 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 y y) x #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y y) x #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 y y) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y y) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x))) (neg.f64 (fma.f64 (*.f64 y y) x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 y y) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 4 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64))) (fma.f64 (.f64 y y) x #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 y y) x #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)))) (fma.f64 (.f64 y y) x #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 (.f64 y y) x #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 y y) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y y) x #s(literal -1 binary64))) (/.f64 (neg.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))) (fma.f64 (.f64 y y) x #s(literal -1 binary64))))
(-.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (fma.f64 (.f64 y y) x #s(literal -1 binary64)))) (pow.f64 (fma.f64 (.f64 y y) x #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (*.f64 y y) x #s(literal 1 binary64))))
(-.f64 (.f64 (.f64 y y) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (.f64 y y)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (.f64 y y) x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y y) x #s(literal -1 binary64))) (neg.f64 (/.f64 (neg.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))) (fma.f64 (.f64 y y) x #s(literal -1 binary64)))))
(+.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (fma.f64 (.f64 y y) x #s(literal -1 binary64)))) (.f64 (neg.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (fma.f64 (.f64 y y) x #s(literal -1 binary64)))) (.f64 (neg.f64 (pow.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 y y) x #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (fma.f64 (.f64 y y) x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 (.f64 y y) x #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (neg.f64 (.f64 y y))) x))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (neg.f64 (.f64 y x))) y))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (neg.f64 x)) (.f64 y y)))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (neg.f64 y)) (.f64 y x)))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (neg.f64 x) (*.f64 y y))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) (*.f64 y y)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 y y)) (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 y x)) (neg.f64 y)))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (neg.f64 (.f64 y x))))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (neg.f64 (.f64 y y))))
(+.f64 #s(literal 1 binary64) (neg.f64 (.f64 (neg.f64 x) (.f64 y y))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x))
(.f64 (.f64 y y) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y y))
(*.f64 y y)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) y))
(pow.f64 (E.f64) x)
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
(pow.f64 (exp.f64 (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (E.f64) y)
(pow.f64 (exp.f64 y) #s(literal 1 binary64))
(exp.f64 y)

eval30.0ms (0.2%)

Memory: -24.6MiB live, 61.1MiB allocated
Compiler: Compiled 8 077 to 795 computations (90.2% saved)

prune9.0ms (0%)

Memory

19.2MiB live, 19.2MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	233	8	241
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	234	12	246

Accuracy

100.0%

Counts

246 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	62.0%	(exp.f64 y)
✓	61.5%	(exp.f64 x)
▶	59.7%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
▶	17.1%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
✓	50.1%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
▶	58.9%	#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
▶	55.0%	#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
	43.3%	#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
	44.2%	#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
	42.8%	#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
▶	35.0%	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))

Compiler

Compiled 200 to 158 computations (21% saved)

simplify12.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	141
0	45	139
1	68	139
2	94	139
3	161	139
4	275	139
5	338	139
6	359	139
7	360	139
0	360	139

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize89.0ms (0.4%)

Memory

-0.7MiB live, 75.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.03125	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
accuracy	0.03125	(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
accuracy	0.1484375	(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy	10.743617814392485	#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy	0.0	(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
accuracy	0.0	(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
accuracy	16.022506374031206	#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy	0.0	(*.f64 y y)
accuracy	7.874122778371161	(.f64 (.f64 y y) x)
accuracy	25.78630686272826	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
accuracy	30.901031362187684	#s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))
accuracy	0.0	(+.f64 #s(literal 1 binary64) x)
accuracy	27.080677012770106	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
accuracy	0.0	(*.f64 y x)
accuracy	0.08984375	(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
accuracy	25.78630686272826	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))

Samples

74.0ms

256×

valid

Compiler

Compiled 103 to 29 computations (71.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 16.0ms (45.4% of total)

ival-add: 8.0ms (22.7% of total)

ival-exp: 7.0ms (19.9% of total)

const: 3.0ms (8.5% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

16 → 43

Calls

Call 1

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

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

Calls

6 calls:

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

simplify192.0ms (1%)

Memory

3.2MiB live, 156.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	336
1	364	324
2	959	324
3	3540	322
4	7257	322
0	8035	275

Stop Event

1×	iter limit
1×	node limit

Counts

43 → 42

Calls

Call 1

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

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

rewrite430.0ms (2.1%)

Memory

-31.5MiB live, 93.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	127
0	45	125
1	160	125
2	1001	125
0	8538	125

Stop Event

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

Counts

16 → 395

Calls

Call 1

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

Outputs
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x))))
(.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y y) x #s(literal -1 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x))))))
(.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y y) x #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x)))))
(.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 y x) y #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 y x) y #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (fma.f64 (.f64 y y) x #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (fma.f64 (.f64 y y) x #s(literal -1 binary64)))) (.f64 (pow.f64 (fma.f64 (.f64 y y) x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 y y) x #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (fma.f64 (.f64 y y) x #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 y y) x #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (fma.f64 (.f64 y y) x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 y y) x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (fma.f64 (.f64 y y) x #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (fma.f64 (.f64 y y) x #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (.f64 y y) x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 y y) x #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (fma.f64 (.f64 y y) x #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 y y) x #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 y y) x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)) (fma.f64 (.f64 y y) x #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))) (fma.f64 (*.f64 y y) x #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) 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 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (fma.f64 (.f64 y y) x #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 y y) x #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 y y) x #s(literal -1 binary64)) (fma.f64 (*.f64 y y) x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))) (-.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 x) y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 y y) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x)))))
(/.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal -1 binary64)) (fma.f64 (.f64 y y) x #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) 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) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal -1 binary64))) (fma.f64 (.f64 y y) x #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x)))))
(neg.f64 (/.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal -1 binary64)) (neg.f64 (fma.f64 (.f64 y y) x #s(literal -1 binary64)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) y))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
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(/.f64 (.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 y y) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) y)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) y) #s(literal 9 binary64)) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 y #s(literal 6 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/1728 binary64)))) (fma.f64 #s(literal 1/36 binary64) (.f64 y y) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) y)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 y y))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 y (-.f64 (.f64 #s(literal 1/36 binary64) y) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) y)))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))
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(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 y y) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) y)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (*.f64 y y)))))
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(fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) y))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) y))))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))

eval106.0ms (0.5%)

Memory: 14.0MiB live, 87.6MiB allocated
Compiler: Compiled 10 682 to 1 684 computations (84.2% saved)

prune101.0ms (0.5%)

Memory

-18.0MiB live, 77.4MiB allocated

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	418	8	426
Fresh	0	3	3
Picked	3	2	5
Done	0	4	4
Total	421	17	438

Accuracy

100.0%

Counts

438 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	62.0%	(exp.f64 y)
✓	61.5%	(exp.f64 x)
▶	62.3%	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x) (.f64 y y) #s(literal 1 binary64)))
✓	59.7%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
	59.7%	#s(approx (exp (* (* x y) y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))))
▶	12.7%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))
✓	50.1%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
▶	58.9%	#s(approx (exp y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1 binary64))))
▶	59.1%	#s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64)))
▶	43.3%	#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
	15.8%	#s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (.f64 (.f64 #s(literal 1/2 binary64) y) y)))
	44.2%	#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
	42.8%	#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
	35.9%	#s(approx (exp x) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
	35.0%	#s(approx (exp x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
✓	35.0%	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))

Compiler

Compiled 401 to 285 computations (28.9% saved)

simplify279.0ms (1.4%)

Memory

35.0MiB live, 185.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	259
0	60	259
1	115	259
2	252	259
3	630	259
4	1399	259
5	2279	259
6	4037	259
7	7162	259
8	7275	259
9	7294	259
10	7294	259
0	8244	248

Stop Event

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

Calls

Call 1

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

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

localize84.0ms (0.4%)

Memory

-5.5MiB live, 159.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	0.0546875	(fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1 binary64)))
accuracy	0.1484375	(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy	10.743617814392485	#s(approx (exp y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1 binary64))))
accuracy	0.09375	(.f64 (.f64 #s(literal 1/6 binary64) y) y)
accuracy	0.3125	(*.f64 #s(literal 1/6 binary64) y)
accuracy	10.743617814392485	#s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64)))
accuracy	30.449913661430088	#s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y))
accuracy	0.0	(*.f64 y x)
accuracy	0.1640625	(.f64 (.f64 y x) y)
accuracy	25.78630686272826	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))
accuracy	30.901031362187684	#s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y))
accuracy	0.0	(+.f64 #s(literal 1 binary64) y)
accuracy	31.053116616515236	#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
accuracy	4.00893289517047	(.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)))
accuracy	7.874122778371161	(.f64 (.f64 y y) x)
accuracy	8.591948058464494	(fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x)
accuracy	20.54084516462334	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x) (.f64 y y) #s(literal 1 binary64)))

Samples

62.0ms

256×

valid

Compiler

Compiled 185 to 35 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 26.0ms (56.5% of total)

ival-add: 13.0ms (28.3% of total)

ival-exp: 4.0ms (8.7% of total)

const: 3.0ms (6.5% of total)

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

exact: 0.0ms (0% of total)

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

series37.0ms (0.2%)

Memory

-21.7MiB live, 15.2MiB allocated

Counts

20 → 63

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	x	@	-inf	((+ (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (* y y)) 1) (exp (* (* x y) y)) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (exp y) (+ 1 y) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y x) y) (* y x) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* (* 1/6 y) y) (+ (* (* y y) (+ (* 1/6 y) 1/2)) (+ y 1)) (exp y) (* y y) (+ (* 1/6 y) 1/2) (* (* y y) x) (* 1/6 y))
2.0ms	y	@	inf	((+ (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (* y y)) 1) (exp (* (* x y) y)) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (exp y) (+ 1 y) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y x) y) (* y x) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* (* 1/6 y) y) (+ (* (* y y) (+ (* 1/6 y) 1/2)) (+ y 1)) (exp y) (* y y) (+ (* 1/6 y) 1/2) (* (* y y) x) (* 1/6 y))
2.0ms	y	@	-inf	((+ (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (* y y)) 1) (exp (* (* x y) y)) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (exp y) (+ 1 y) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y x) y) (* y x) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* (* 1/6 y) y) (+ (* (* y y) (+ (* 1/6 y) 1/2)) (+ y 1)) (exp y) (* y y) (+ (* 1/6 y) 1/2) (* (* y y) x) (* 1/6 y))
2.0ms	y	@	0	((+ (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (* y y)) 1) (exp (* (* x y) y)) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (exp y) (+ 1 y) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y x) y) (* y x) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* (* 1/6 y) y) (+ (* (* y y) (+ (* 1/6 y) 1/2)) (+ y 1)) (exp y) (* y y) (+ (* 1/6 y) 1/2) (* (* y y) x) (* 1/6 y))
2.0ms	x	@	inf	((+ (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (* y y)) 1) (exp (* (* x y) y)) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (exp y) (+ 1 y) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y x) y) (* y x) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* (* 1/6 y) y) (+ (* (* y y) (+ (* 1/6 y) 1/2)) (+ y 1)) (exp y) (* y y) (+ (* 1/6 y) 1/2) (* (* y y) x) (* 1/6 y))

simplify145.0ms (0.7%)

Memory

18.6MiB live, 131.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	789
1	639	777
2	2131	764
3	5016	749
0	8281	677

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 61

Calls

Call 1

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

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

rewrite227.0ms (1.1%)

Memory

-5.3MiB live, 232.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	226
0	60	226
1	225	226
2	1746	223
0	8574	215

Stop Event

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

Counts

20 → 399

Calls

Call 1

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

Outputs
(.f64 (fma.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (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)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (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.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (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))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 y y)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (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))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (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)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 y y)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (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))) (/.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 y y)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (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))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (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)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (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)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 y y)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (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.f64 (fma.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (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)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 y y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (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)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 y y)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (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))) (.f64 (fma.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (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)) #s(literal 1 binary64))) (.f64 (fma.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (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)) (fma.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (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))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 y y)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (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)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (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))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 y y)) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (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)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 y y)) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 y y))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 y y)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 y y)) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 y y)))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (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))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (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))))
(fma.f64 (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) y) y #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (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) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (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))
(fma.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (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))
(fma.f64 (.f64 y y) (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 y y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(fma.f64 y (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) y) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 y y)))) (/.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 y y)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y)))))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 y y)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (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.f64 (fma.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (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)) #s(literal -1 binary64)))
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(+.f64 #s(literal 1 binary64) (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y)))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (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)))
(.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)))
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(.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 y y)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) (-.f64 #s(literal 1/4 binary64) (.f64 y #s(literal 1/12 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 y y))) (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (*.f64 y #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) (-.f64 #s(literal 1/4 binary64) (.f64 y #s(literal 1/12 binary64))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (*.f64 y #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 y y) (-.f64 #s(literal 1/4 binary64) (.f64 y #s(literal 1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 y #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (*.f64 y #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 y #s(literal 1/6 binary64)))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (-.f64 #s(literal 1/2 binary64) (.f64 y #s(literal 1/6 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(+.f64 (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))
(.f64 (.f64 y x) y)
(.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x))
(.f64 (.f64 (*.f64 y y) x) #s(literal 1 binary64))
(.f64 (.f64 y y) (*.f64 x #s(literal 1 binary64)))
(.f64 (.f64 y y) x)
(.f64 y (.f64 (*.f64 y x) #s(literal 1 binary64)))
(.f64 y (.f64 y x))
(.f64 x (.f64 y y))
(*.f64 y #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) y)

eval61.0ms (0.3%)

Memory: 12.7MiB live, 132.4MiB allocated
Compiler: Compiled 18 998 to 1 967 computations (89.6% saved)

prune114.0ms (0.6%)

Memory

-2.1MiB live, 36.7MiB allocated

Pruning

19 alts after pruning (9 fresh and 10 done)

	Pruned	Kept	Total
New	462	4	466
Fresh	1	5	6
Picked	1	4	5
Done	0	6	6
Total	464	19	483

Accuracy

100.0%

Counts

483 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	62.0%	(exp.f64 y)
✓	61.5%	(exp.f64 x)
	62.1%	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 y #s(literal 1/6 binary64)) y)) x (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 y y) x) (.f64 y y) #s(literal 1 binary64)))
	65.8%	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (.f64 y y) x) (.f64 y y) #s(literal 1 binary64)))
✓	59.7%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
	66.7%	#s(approx (exp (* (* x y) y)) (fma.f64 #s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64) x)) (.f64 y y) #s(literal 1 binary64)))
✓	12.7%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))
✓	50.1%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
✓	58.9%	#s(approx (exp y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1 binary64))))
✓	59.1%	#s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64)))
	46.9%	#s(approx (exp y) (/.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (.f64 (-.f64 y #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (.f64 y y)))) (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
✓	43.3%	#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
	15.8%	#s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (.f64 (.f64 #s(literal 1/2 binary64) y) y)))
	44.2%	#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
	42.8%	#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
	35.9%	#s(approx (exp x) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
	35.0%	#s(approx (exp x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
✓	35.0%	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))

Compiler

Compiled 726 to 340 computations (53.2% saved)

regimes67.0ms (0.3%)

Memory

-3.4MiB live, 41.3MiB allocated

Counts

25 → 1

Calls

Call 1

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

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

Calls

4 calls:

46.0ms	y
7.0ms	x
6.0ms	(.f64 (.f64 x y) y)
5.0ms	(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 13 to 13 computations (0% saved)

regimes29.0ms (0.1%)

Memory

11.0MiB live, 47.4MiB allocated

Counts

24 → 3

Calls

Call 1

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

Outputs

(exp.f64 x)

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

Calls

4 calls:

9.0ms	(exp.f64 (.f64 (.f64 x y) y))
7.0ms	y
7.0ms	x
6.0ms	(.f64 (.f64 x y) y)

Results

Accuracy	Segments	Branch
75.5%	2	`x`
78.2%	3	`y`
85.2%	3	`(exp.f64 (.f64 (.f64 x y) y))`
85.2%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes27.0ms (0.1%)

Memory

6.7MiB live, 43.4MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

9.0ms	(.f64 (.f64 x y) y)
6.0ms	x
6.0ms	y
5.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
68.3%	2	`x`
70.1%	2	`y`
70.6%	2	`(exp.f64 (.f64 (.f64 x y) y))`
70.6%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes19.0ms (0.1%)

Memory

2.0MiB live, 36.6MiB allocated

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

9.0ms	(.f64 (.f64 x y) y)
5.0ms	y
4.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
71.2%	3	`y`
66.7%	1	`(exp.f64 (.f64 (.f64 x y) y))`
66.7%	1	`(.f64 (.f64 x y) y)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes15.0ms (0.1%)

Memory

-29.9MiB live, 20.8MiB allocated

Counts

18 → 1

Calls

Call 1

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

Outputs

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

9.0ms	y
5.0ms	x

Results

Accuracy	Segments	Branch
66.7%	1	`x`
66.7%	1	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes18.0ms (0.1%)

Memory

26.6MiB live, 26.6MiB allocated

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

5.0ms	y
5.0ms	x
4.0ms	(.f64 (.f64 x y) y)
3.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
66.4%	2	`(.f64 (.f64 x y) y)`
64.1%	1	`x`
66.4%	2	`(exp.f64 (.f64 (.f64 x y) y))`
69.0%	3	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes10.0ms (0.1%)

Memory

-30.9MiB live, 8.4MiB allocated

Counts

11 → 2

Calls

Call 1

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
66.6%	2	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0%)

Memory

19.4MiB live, 19.4MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
64.1%	1	`(.f64 (.f64 x y) y)`
64.1%	1	`(exp.f64 (.f64 (.f64 x y) y))`
64.1%	1	`y`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes38.0ms (0.2%)

Memory

-23.4MiB live, 15.7MiB allocated

Counts

7 → 2

Calls

Call 1

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

Calls

4 calls:

30.0ms	(.f64 (.f64 x y) y)
3.0ms	y
3.0ms	x
2.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
64.3%	2	`(.f64 (.f64 x y) y)`
64.3%	2	`(exp.f64 (.f64 (.f64 x y) y))`
59.7%	1	`x`
64.1%	2	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes6.0ms (0%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

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
62.2%	2	`y`
62.4%	2	`(exp.f64 (.f64 (.f64 x y) y))`
64.3%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes2.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
62.4%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes6.0ms (0%)

Memory

11.9MiB live, 11.9MiB allocated

Accuracy

Total -14.5b remaining (-45.5%)

Threshold costs -14.5b (-45.5%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
50.1%	1	`x`
50.1%	1	`y`
50.1%	1	`(exp.f64 (.f64 (.f64 x y) y))`
50.1%	1	`(.f64 (.f64 x y) y)`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1911.675093410929	36995991.54365662
0.0ms	-20287.837372811082	-0.0006264253642213229

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.574171116496447e-66	3.741138854612233e-54

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch22.0ms (0.1%)

Memory

-21.5MiB live, 17.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.2659859454680116e+115	3.634809997414781e+125
1.0ms	2.6093461861759533e-123	2.7695128147675533e-123

Samples

7.0ms

176×

valid

Compiler

Compiled 546 to 385 computations (29.5% saved)

Precisions

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

ival-mult: 2.0ms (55.1% of total)

ival-exp: 1.0ms (27.5% of total)

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

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

bsearch20.0ms (0.1%)

Memory

31.4MiB live, 31.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.024690449898685e+105	1.0645839725994167e+107
9.0ms	2.0983170692727758e-55	9.369737744484342e-54

Samples

9.0ms

224×

valid

Compiler

Compiled 394 to 346 computations (12.2% saved)

Precisions

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

ival-mult: 3.0ms (63.1% of total)

ival-exp: 2.0ms (42% of total)

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

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

bsearch35.0ms (0.2%)

Memory

-27.5MiB live, 21.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
34.0ms	1.2659859454680116e+115	3.634809997414781e+125

Samples

21.0ms

144×

valid

Compiler

Compiled 349 to 290 computations (16.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (65.2% of total)

ival-exp: 1.0ms (32.6% of total)

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

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

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000050464	+inf

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.228061780131065e+304	+inf
0.0ms	1.222974247761711e+29	1.8046205992174717e+37

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.222974247761711e+29	1.8046205992174717e+37

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify66.0ms (0.3%)

Memory

-11.1MiB live, 26.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	490
1	145	490
2	248	490
3	542	490
4	1144	490
5	1521	490
6	1733	490
7	2084	490
8	2394	490
9	2492	490
10	2492	490
11	2492	490
12	2982	490
13	2984	490
14	2985	490

Stop Event

1×

saturated

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 x y) y))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -20000 binary64)) (exp.f64 x) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 2000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 #s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (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 (.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (.f64 y y) x) (.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4742843975160471/474284397516047136454946754595585670566993857190463750305618264096412179005177856 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (.f64 y y) x) (.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal 1004781852466247/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1749999999999999997688424885798371108374606845624503813181185641351857738858641230827032495388395284568622513386175848251392 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x) (.f64 y y) #s(literal 1 binary64))) #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64)))))
#s(approx (exp (* (* x y) y)) (fma.f64 #s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (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 8627182933488205/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 82000000000000004613101555261931150081933263831260472214616999341384652851284310951530457131169831305871360 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal 305000000000000009120123369053410971146805880296166467884118888817829176106791702315726542322841317988269269710798848 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 199999999999999982866301714432 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 39999999999999997570142100221458487440161148880469299812763086285292818252052935611373237029762030993747424472224648690314868774970544122120943195363467531099949205766728044164270841012649763623374879210194206396306558730203287330638196449078431799221384139674650289625630417523383839448299617392552574976 binary64)) #s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (.f64 (.f64 #s(literal 1/2 binary64) y) y))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 199999999999999982866301714432 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (.f64 (.f64 #s(literal 1/2 binary64) y) y))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Outputs
(exp.f64 (.f64 (.f64 x y) y))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -20000 binary64)) (exp.f64 x) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 2000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 #s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (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 (.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (.f64 y y) x) (.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4742843975160471/474284397516047136454946754595585670566993857190463750305618264096412179005177856 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (.f64 y y) x) (.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal 1004781852466247/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1749999999999999997688424885798371108374606845624503813181185641351857738858641230827032495388395284568622513386175848251392 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x) (.f64 y y) #s(literal 1 binary64))) #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64)))))
#s(approx (exp (* (* x y) y)) (fma.f64 #s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (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 8627182933488205/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 82000000000000004613101555261931150081933263831260472214616999341384652851284310951530457131169831305871360 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal 305000000000000009120123369053410971146805880296166467884118888817829176106791702315726542322841317988269269710798848 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 199999999999999982866301714432 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 39999999999999997570142100221458487440161148880469299812763086285292818252052935611373237029762030993747424472224648690314868774970544122120943195363467531099949205766728044164270841012649763623374879210194206396306558730203287330638196449078431799221384139674650289625630417523383839448299617392552574976 binary64)) #s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (.f64 (.f64 #s(literal 1/2 binary64) y) y))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 199999999999999982866301714432 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (.f64 (.f64 #s(literal 1/2 binary64) y) y))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

soundness16.1s (80.5%)

Memory

25.3MiB live, 905.1MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	195	789
1	639	777
2	2131	764
3	5016	749
0	8281	677
0	44	98
1	120	98
2	329	98
3	808	98
4	1111	98
5	1240	98
6	1320	98
7	1343	98
8	1357	98
9	2755	98
10	3340	98
11	4131	98
12	5079	98
13	5100	98
14	5100	98
15	5337	98
16	5337	98
17	5337	98
18	5337	98
19	6806	98
20	6806	98
0	6806	87
0	116	336
1	364	324
2	959	324
3	3540	322
4	7257	322
0	8035	275
0	39	226
0	60	226
1	225	226
2	1746	223
0	8574	215
0	5	14
0	8	12
1	14	12
2	29	12
3	92	12
4	482	3
5	3914	3
0	9045	3
0	78	173
1	225	173
2	569	173
3	1536	173
4	2332	173
5	4063	173
0	8198	149
0	29	127
0	45	125
1	160	125
2	1001	125
0	8538	125
0	12	34
0	17	34
1	42	34
2	196	34
3	1590	34
0	8792	34

Stop Event

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

Compiler

Compiled 761 to 348 computations (54.3% saved)

preprocess164.0ms (0.8%)

Memory: -31.1MiB live, 90.9MiB allocated
Remove: (abs y)
Compiler: Compiled 1 016 to 252 computations (75.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	38
1	49	34
2	124	34
3	305	34
4	512	34
5	669	34
6	741	34
7	752	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	29	141
0	45	139
1	68	139
2	94	139
3	161	139
4	275	139
5	338	139
6	359	139
7	360	139
0	360	139

Iter	Nodes	Cost
0	15	38
1	49	34
2	124	34
3	305	34
4	512	34
5	669	34
6	741	34
7	752	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	29	141
0	45	139
1	68	139
2	94	139
3	161	139
4	275	139
5	338	139
6	359	139
7	360	139
0	360	139

start0.0ms (0%)

analyze0.0ms (0%)

sample592.0ms (3%)

explain100.0ms (0.5%)

preprocess23.0ms (0.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize21.0ms (0.1%)

series6.0ms (0%)

simplify152.0ms (0.8%)

rewrite46.0ms (0.2%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify4.0ms (0%)

localize31.0ms (0.2%)

series3.0ms (0%)

simplify163.0ms (0.8%)

rewrite279.0ms (1.4%)

eval30.0ms (0.2%)

prune9.0ms (0%)

simplify12.0ms (0.1%)

localize89.0ms (0.4%)

series9.0ms (0%)

simplify192.0ms (1%)

rewrite430.0ms (2.1%)

eval106.0ms (0.5%)

prune101.0ms (0.5%)

simplify279.0ms (1.4%)

localize84.0ms (0.4%)

series37.0ms (0.2%)

simplify145.0ms (0.7%)

rewrite227.0ms (1.1%)

eval61.0ms (0.3%)

prune114.0ms (0.6%)

regimes67.0ms (0.3%)

regimes29.0ms (0.1%)

regimes27.0ms (0.1%)

regimes19.0ms (0.1%)

regimes15.0ms (0.1%)

regimes18.0ms (0.1%)

regimes10.0ms (0.1%)

regimes10.0ms (0%)

regimes38.0ms (0.2%)

regimes6.0ms (0%)

regimes2.0ms (0%)

regimes6.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch22.0ms (0.1%)

bsearch20.0ms (0.1%)

bsearch35.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify66.0ms (0.3%)

soundness16.1s (80.5%)

preprocess164.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	38
1	49	34
2	124	34
3	305	34
4	512	34
5	669	34
6	741	34
7	752	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	29	141
0	45	139
1	68	139
2	94	139
3	161	139
4	275	139
5	338	139
6	359	139
7	360	139
0	360	139