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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample644.0ms (3.2%)

Memory

25.3MiB live, 929.6MiB allocated

Samples

390.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 206.0ms

ival-mult: 130.0ms (63.1% of total)

ival-exp: 65.0ms (31.5% of total)

ival-true: 7.0ms (3.4% of total)

ival-assert: 4.0ms (1.9% of total)

Bogosity

explain83.0ms (0.4%)

Memory

-19.1MiB live, 101.7MiB 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

25.0ms

512×

valid

Compiler

Compiled 42 to 19 computations (54.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 7.0ms (59.8% of total)

ival-exp: 4.0ms (34.2% of total)

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

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

preprocess23.0ms (0.1%)

Memory

20.7MiB live, 20.7MiB 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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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

2.4MiB live, 2.4MiB 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

localize26.0ms (0.1%)

Memory

-16.6MiB live, 19.7MiB 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	0.15625	(.f64 (.f64 x y) y)

Samples

21.0ms

256×

valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 11.0ms (82.7% of total)

ival-exp: 2.0ms (15% of total)

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

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

series6.0ms (0%)

Memory

10.4MiB live, 10.4MiB 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))

simplify146.0ms (0.7%)

Memory

11.7MiB live, 82.0MiB 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))

rewrite45.0ms (0.2%)

Memory

-3.6MiB live, 85.4MiB 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: 3.6MiB live, 3.6MiB allocated
Compiler: Compiled 110 to 37 computations (66.4% saved)

prune2.0ms (0%)

Memory

4.3MiB live, 4.3MiB 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))
▶	67.7%	(exp.f64 y)
▶	65.4%	(exp.f64 x)
▶	69.0%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
▶	56.4%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify4.0ms (0%)

Memory

7.9MiB live, 7.9MiB 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

localize33.0ms (0.2%)

Memory

-8.7MiB live, 68.6MiB 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	2.852282531585764	(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
accuracy	20.994427876301366	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
accuracy	27.92849364178311	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Samples

22.0ms

256×

valid

Compiler

Compiled 34 to 13 computations (61.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 6.0ms (43.9% of total)

ival-exp: 5.0ms (36.6% of total)

ival-add: 1.0ms (7.3% 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

4.0MiB live, 4.0MiB 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	@	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))
0.0ms	x	@	-inf	((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y) (exp x) (exp y))

simplify171.0ms (0.8%)

Memory

-16.9MiB live, 134.0MiB 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)

rewrite264.0ms (1.3%)

Memory

24.0MiB live, 301.8MiB 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)

eval29.0ms (0.1%)

Memory: -31.0MiB live, 53.6MiB allocated
Compiler: Compiled 8 077 to 795 computations (90.2% saved)

prune9.0ms (0%)

Memory

18.6MiB live, 18.6MiB 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))
✓	67.7%	(exp.f64 y)
✓	65.4%	(exp.f64 x)
▶	67.2%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
▶	15.7%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
✓	56.4%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
▶	62.7%	#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)))
▶	59.8%	#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
	50.4%	#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
	49.0%	#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)))
	46.4%	#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
▶	38.1%	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))

Compiler

Compiled 200 to 158 computations (21% saved)

simplify12.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB 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)

localize88.0ms (0.4%)

Memory

-4.6MiB live, 109.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(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	0.06640625	(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
accuracy	0.15625	(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy	11.031232480719549	#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 #s(literal 1/2 binary64) y #s(literal 1 binary64))
accuracy	0.00390625	(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
accuracy	15.093699435212221	#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	6.518094696023963	(.f64 (.f64 y y) x)
accuracy	20.994427876301366	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
accuracy	34.47499789970582	#s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))
accuracy	0.0	(+.f64 #s(literal 1 binary64) x)
accuracy	29.089156119416106	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
accuracy	0.0	(*.f64 y x)
accuracy	0.08203125	(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
accuracy	20.994427876301366	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))

Samples

71.0ms

256×

valid

Compiler

Compiled 103 to 29 computations (71.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 20.0ms (34.9% of total)

ival-add: 19.0ms (33.1% of total)

ival-exp: 14.0ms (24.4% of total)

const: 4.0ms (7% 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

9.5MiB live, 9.5MiB 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))

simplify282.0ms (1.4%)

Memory

-16.8MiB live, 102.6MiB 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))

rewrite474.0ms (2.3%)

Memory

-44.8MiB live, 150.4MiB 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 (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 #s(literal 1/12 binary64) y))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #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))))
(/.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 1/1296 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 y y) #s(literal 1/144 binary64)))) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
(/.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)))
(/.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 y (-.f64 (.f64 #s(literal 1/36 binary64) 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 #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))

eval66.0ms (0.3%)

Memory: 34.5MiB live, 111.8MiB allocated
Compiler: Compiled 10 682 to 1 684 computations (84.2% saved)

prune17.0ms (0.1%)

Memory

6.8MiB live, 43.8MiB allocated

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	419	7	426
Fresh	0	3	3
Picked	2	3	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))
✓	67.7%	(exp.f64 y)
✓	65.4%	(exp.f64 x)
▶	67.8%	#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)))
✓	67.2%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
✓	15.7%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
▶	13.9%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))
✓	56.4%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
	62.7%	#s(approx (exp y) (fma.f64 (fma.f64 (/.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))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
▶	62.9%	#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)))
▶	50.4%	#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
	13.6%	#s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (.f64 (.f64 #s(literal 1/2 binary64) y) y)))
	49.0%	#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)))
	46.4%	#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
▶	46.1%	#s(approx (exp x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
	38.1%	#s(approx (exp x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
✓	38.1%	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))

Compiler

Compiled 373 to 278 computations (25.5% saved)

simplify160.0ms (0.8%)

Memory

-3.4MiB live, 189.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	#s(approx (exp x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
cost-diff	5	(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #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	41	252
0	61	252
1	109	252
2	220	246
3	600	242
4	1401	242
5	2408	242
6	5082	242
0	8354	230

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

localize125.0ms (0.6%)

Memory

-20.2MiB live, 140.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.0	(-.f64 x #s(literal 1 binary64))
accuracy	12.802227518987072	(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	29.089156119416106	#s(approx (exp x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
accuracy	0.17578125	(.f64 (.f64 #s(literal 1/6 binary64) y) y)
accuracy	0.3203125	(*.f64 #s(literal 1/6 binary64) y)
accuracy	11.031232480719549	#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	34.27331434369563	#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	0.15625	(.f64 (.f64 y x) y)
accuracy	20.994427876301366	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))
accuracy	34.47499789970582	#s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y))
accuracy	0.0	(+.f64 #s(literal 1 binary64) y)
accuracy	28.046175404220193	#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
accuracy	3.338089300289327	(.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)))
accuracy	6.518094696023963	(.f64 (.f64 y y) x)
accuracy	7.418076485660862	(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	15.556132911020006	#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

99.0ms

256×

valid

Compiler

Compiled 177 to 37 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-exp: 25.0ms (36.5% of total)

ival-mult: 23.0ms (33.5% of total)

ival-add: 13.0ms (19% of total)

const: 4.0ms (5.8% of total)

ival-div: 2.0ms (2.9% of total)

ival-sub: 1.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory

22.9MiB live, 22.9MiB allocated

Counts

20 → 71

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)
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (exp x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(fma.f64 x x #s(literal -1 binary64))
(-.f64 x #s(literal 1 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 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
-1
(- (pow x 2) 1)
(- x 1)
(* 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)))
(* x (+ 1 (/ 1 x)))
(exp x)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* x (- 1 (/ 1 x)))
(* -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 (* x (- (/ 1 x) 1)))
(+ 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))
(* 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)))))
(* -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
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) (/ (+ (* x x) -1) (- x 1)) (exp x) (+ (* x x) -1) (- x 1) (* (* 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) (/ (+ (* x x) -1) (- x 1)) (exp x) (+ (* x x) -1) (- x 1) (* (* 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) (/ (+ (* x x) -1) (- x 1)) (exp x) (+ (* x x) -1) (- x 1) (* (* 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) (/ (+ (* x x) -1) (- x 1)) (exp x) (+ (* x x) -1) (- x 1) (* (* y y) x) (* 1/6 y))
2.0ms	x	@	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) (/ (+ (* x x) -1) (- x 1)) (exp x) (+ (* x x) -1) (- x 1) (* (* y y) x) (* 1/6 y))

simplify184.0ms (0.9%)

Memory

-26.1MiB live, 175.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	217	828
1	693	820
2	2241	805
3	5101	788
0	8353	711

Stop Event

1×	iter limit
1×	node limit

Counts

71 → 69

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

rewrite287.0ms (1.4%)

Memory

25.4MiB live, 230.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	223
0	61	223
1	225	213
2	1604	210
0	8479	199

Stop Event

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

Counts

20 → 468

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

Outputs
(.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 #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 (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))) (/.f64 #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))) (/.f64 #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)) (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)) (/.f64 #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)) (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)))
(.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)))
(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 (.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)))) (.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 (-.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 (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 (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 (-.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 (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) (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 #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)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (-.f64 x #s(literal -1 binary64))) (/.f64 (.f64 x x) (-.f64 x #s(literal -1 binary64))) (fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (fma.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 x (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 x (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -1 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))
(-.f64 x #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 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) x)
(.f64 y (.f64 y x))
(.f64 x (.f64 y y))
(*.f64 y #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) y)

eval63.0ms (0.3%)

Memory: 5.0MiB live, 114.2MiB allocated
Compiler: Compiled 17 178 to 2 075 computations (87.9% saved)

prune24.0ms (0.1%)

Memory

-2.1MiB live, 46.0MiB allocated

Pruning

22 alts after pruning (12 fresh and 10 done)

	Pruned	Kept	Total
New	507	8	515
Fresh	1	4	5
Picked	2	3	5
Done	0	7	7
Total	510	22	532

Accuracy

100.0%

Counts

532 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	67.7%	(exp.f64 y)
✓	65.4%	(exp.f64 x)
	76.1%	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (.f64 y y) #s(literal 1 binary64)))
✓	67.2%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
	74.6%	#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)))
✓	15.7%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
✓	13.9%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))
✓	56.4%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
	62.7%	#s(approx (exp y) (fma.f64 (fma.f64 (/.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))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
✓	62.9%	#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)))
✓	50.4%	#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
	13.6%	#s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (.f64 (.f64 #s(literal 1/2 binary64) y) y)))
	49.0%	#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)))
	46.4%	#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
	38.1%	#s(approx (exp x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))))
	39.1%	#s(approx (exp x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))) (fma.f64 x x #s(literal -1 binary64)))))
	38.3%	#s(approx (exp x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))))
	41.6%	#s(approx (exp x) (/.f64 (/.f64 (-.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x) (.f64 (-.f64 x #s(literal -1 binary64)) x)) (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))))
	14.3%	#s(approx (exp x) (/.f64 #s(approx (+ (* x x) -1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
	37.9%	#s(approx (exp x) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
✓	38.1%	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))

Compiler

Compiled 910 to 398 computations (56.3% saved)

regimes52.0ms (0.3%)

Memory

3.9MiB live, 41.9MiB allocated

Counts

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

29.0ms	(.f64 (.f64 x y) y)
8.0ms	x
8.0ms	y
6.0ms	(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)

regimes43.0ms (0.2%)

Memory

-17.1MiB live, 57.9MiB allocated

Counts

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

Outputs

(exp.f64 x)

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

Calls

4 calls:

18.0ms	(.f64 (.f64 x y) y)
11.0ms	x
7.0ms	y
6.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
80.4%	2	`x`
82.1%	2	`y`
89.3%	2	`(exp.f64 (.f64 (.f64 x y) y))`
89.3%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes34.0ms (0.2%)

Memory

-7.9MiB live, 44.2MiB allocated

Counts

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

Outputs

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

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

Calls

4 calls:

14.0ms	y
7.0ms	x
6.0ms	(.f64 (.f64 x y) y)
5.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
76.1%	1	`x`
76.1%	1	`y`
79.4%	2	`(exp.f64 (.f64 (.f64 x y) y))`
79.4%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes11.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

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

Outputs

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes23.0ms (0.1%)

Memory

-5.3MiB live, 33.6MiB allocated

Counts

17 → 4

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

Calls

4 calls:

8.0ms	(.f64 (.f64 x y) y)
5.0ms	y
5.0ms	x
4.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
69.0%	1	`x`
73.5%	3	`y`
72.2%	2	`(exp.f64 (.f64 (.f64 x y) y))`
75.6%	4	`(.f64 (.f64 x y) y)`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes20.0ms (0.1%)

Memory

-22.9MiB live, 16.1MiB allocated

Counts

14 → 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 x) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (-.f64 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)))
#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)))

Outputs

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

3 calls:

12.0ms	y
4.0ms	(.f64 (.f64 x y) y)
3.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
73.5%	3	`y`
69.0%	1	`(exp.f64 (.f64 (.f64 x y) y))`
72.4%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes5.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

12 → 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 x) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (-.f64 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)))

Outputs

#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #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 #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:

4.0ms

Results

Accuracy	Segments	Branch
72.4%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

11 → 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 x) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
69.0%	1	`(.f64 (.f64 x y) y)`
69.0%	1	`y`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes10.0ms (0%)

Memory

12.4MiB live, 12.4MiB 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:

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

Results

Accuracy	Segments	Branch
69.0%	2	`(.f64 (.f64 x y) y)`
67.2%	1	`x`
69.0%	2	`(exp.f64 (.f64 (.f64 x y) y))`
69.0%	2	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes33.0ms (0.2%)

Memory

-27.8MiB live, 11.3MiB 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

4 calls:

27.0ms	y
2.0ms	x
2.0ms	(.f64 (.f64 x y) y)
2.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
58.9%	2	`x`
66.1%	2	`y`
69.0%	3	`(.f64 (.f64 x y) y)`
67.2%	2	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes3.0ms (0%)

Memory

6.5MiB live, 6.5MiB 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

2 calls:

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

Results

Accuracy	Segments	Branch
66.4%	2	`(exp.f64 (.f64 (.f64 x y) y))`
66.4%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes6.0ms (0%)

Memory

12.0MiB live, 12.0MiB allocated

Accuracy

Total -16.0b remaining (-57.2%)

Threshold costs -16b (-57.2%)

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

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-381873829618.868	-0.06217581940803414

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-381873829618.868	-0.06217581940803414

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-381873829618.868	-0.06217581940803414

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.7916219208205438e+247	9.483543695578469e+253
0.0ms	7.196452853708648e-24	7621699.524323347
0.0ms	-381873829618.868	-0.06217581940803414

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch52.0ms (0.3%)

Memory

-1.6MiB live, 38.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
38.0ms	7.497278610756984e+109	1.2043666689092227e+117
12.0ms	6.522642835041251e-56	3.257099049806144e-49

Samples

38.0ms

288×

valid

Compiler

Compiled 549 to 460 computations (16.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-exp: 28.0ms (87.4% of total)

ival-mult: 4.0ms (12.5% of total)

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

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

bsearch3.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.497278610756984e+109	1.2043666689092227e+117
1.0ms	6.522642835041251e-56	3.257099049806144e-49

Compiler

Compiled 495 to 424 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	+inf

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.317176500191031e+287	1.023602929870353e+300
0.0ms	7621699.524323347	1.1406567702505762e+33

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7621699.524323347	1.1406567702505762e+33

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify76.0ms (0.4%)

Memory

-3.0MiB live, 68.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	511
1	152	511
2	258	511
3	581	511
4	1184	511
5	1602	511
6	1883	511
7	2513	511
8	4932	511
9	6490	511

Stop Event

1×	node limit

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 x y) y))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -200000000000 binary64)) (exp.f64 x) #s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -200000000000 binary64)) #s(approx (exp x) (/.f64 #s(approx (+ (* x x) -1) (.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(approx (exp ( (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -200000000000 binary64)) #s(approx (exp x) (/.f64 #s(approx (+ (* x x) -1) (.f64 x x)) (-.f64 x #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 (.f64 (.f64 x y) y) #s(literal -200000000000 binary64)) #s(approx (exp x) (/.f64 #s(approx (+ (* x x) -1) (.f64 x x)) (-.f64 x #s(literal 1 binary64)))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 6805647338418769/680564733841876926926749214863536422912 binary64)) #s(approx (exp ( (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 19999999999999999042943898584577627210672650772505466848487442240115469688899487215981329357961462820572091693694875828215901850281511913037194533151440339824999916850618391401330231357640700542387220923023397191454763848595979444663933846679453696 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))))))
(if (<=.f64 y #s(literal 4080851302156591/13164036458569648337239753460458804039861886925068638906788872192 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 131999999999999995101205127167060961007606930811687976173006496345965292936127319369652864052801272768517636096 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 7898421875141789/26328072917139296674479506920917608079723773850137277813577744384 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 131999999999999995101205127167060961007606930811687976173006496345965292936127319369652864052801272768517636096 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 #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 10000000 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 400000000000000030100869409976074877445708321930334554077017758825409737206186284010156430558648479695756883670206108565604167872688822358708085150775448815662555547897148796286418616285067076396904284847591865362947530011643961381737414214722809013353714546701858739397230872077367508992 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 10000000 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 -200000000000 binary64)) (exp.f64 x) #s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -200000000000 binary64)) #s(approx (exp x) (/.f64 #s(approx (+ (* x x) -1) (.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(approx (exp ( (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -200000000000 binary64)) #s(approx (exp x) (/.f64 #s(approx (+ (* x x) -1) (.f64 x x)) (-.f64 x #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 (.f64 (.f64 x y) y) #s(literal -200000000000 binary64)) #s(approx (exp x) (/.f64 #s(approx (+ (* x x) -1) (.f64 x x)) (-.f64 x #s(literal 1 binary64)))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 6805647338418769/680564733841876926926749214863536422912 binary64)) #s(approx (exp ( (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 19999999999999999042943898584577627210672650772505466848487442240115469688899487215981329357961462820572091693694875828215901850281511913037194533151440339824999916850618391401330231357640700542387220923023397191454763848595979444663933846679453696 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))))))
(if (<=.f64 y #s(literal 4080851302156591/13164036458569648337239753460458804039861886925068638906788872192 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 131999999999999995101205127167060961007606930811687976173006496345965292936127319369652864052801272768517636096 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 7898421875141789/26328072917139296674479506920917608079723773850137277813577744384 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 131999999999999995101205127167060961007606930811687976173006496345965292936127319369652864052801272768517636096 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 #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 10000000 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 400000000000000030100869409976074877445708321930334554077017758825409737206186284010156430558648479695756883670206108565604167872688822358708085150775448815662555547897148796286418616285067076396904284847591865362947530011643961381737414214722809013353714546701858739397230872077367508992 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 10000000 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))

soundness16.5s (81.1%)

Memory

3.5MiB live, 1 126.2MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	34
0	17	34
1	42	34
2	196	34
3	1590	34
0	8792	34
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	29	127
0	45	125
1	160	125
2	1001	125
0	8538	125
0	116	336
1	364	324
2	959	324
3	3540	322
4	7257	322
0	8035	275
0	78	173
1	225	173
2	569	173
3	1536	173
4	2332	173
5	4063	173
0	8198	149
0	41	223
0	61	223
1	225	213
2	1604	210
0	8479	199
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	217	828
1	693	820
2	2241	805
3	5101	788
0	8353	711

Stop Event

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

Compiler

Compiled 819 to 381 computations (53.5% saved)

preprocess167.0ms (0.8%)

Memory: -10.8MiB live, 152.9MiB allocated
Remove: (abs y)
Compiler: Compiled 1 058 to 254 computations (76% 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%)

sample644.0ms (3.2%)

explain83.0ms (0.4%)

preprocess23.0ms (0.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize26.0ms (0.1%)

series6.0ms (0%)

simplify146.0ms (0.7%)

rewrite45.0ms (0.2%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify4.0ms (0%)

localize33.0ms (0.2%)

series3.0ms (0%)

simplify171.0ms (0.8%)

rewrite264.0ms (1.3%)

eval29.0ms (0.1%)

prune9.0ms (0%)

simplify12.0ms (0.1%)

localize88.0ms (0.4%)

series9.0ms (0%)

simplify282.0ms (1.4%)

rewrite474.0ms (2.3%)

eval66.0ms (0.3%)

prune17.0ms (0.1%)

simplify160.0ms (0.8%)

localize125.0ms (0.6%)

series13.0ms (0.1%)

simplify184.0ms (0.9%)

rewrite287.0ms (1.4%)

eval63.0ms (0.3%)

prune24.0ms (0.1%)

regimes52.0ms (0.3%)

regimes43.0ms (0.2%)

regimes34.0ms (0.2%)

regimes11.0ms (0.1%)

regimes23.0ms (0.1%)

regimes20.0ms (0.1%)

regimes5.0ms (0%)

regimes7.0ms (0%)

regimes10.0ms (0%)

regimes33.0ms (0.2%)

regimes3.0ms (0%)

regimes6.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch52.0ms (0.3%)

bsearch3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify76.0ms (0.4%)

soundness16.5s (81.1%)

preprocess167.0ms (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