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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB 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)

sample636.0ms (3.2%)

Memory

43.6MiB live, 820.7MiB allocated

Samples

423.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 233.0ms

ival-mult: 156.0ms (67.1% of total)

ival-exp: 68.0ms (29.2% of total)

ival-true: 6.0ms (2.6% of total)

ival-assert: 4.0ms (1.7% of total)

Bogosity

explain74.0ms (0.4%)

Memory

-8.2MiB live, 67.8MiB 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

40.0ms

512×

valid

Compiler

Compiled 58 to 24 computations (58.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 24.0ms (83.5% of total)

ival-exp: 4.0ms (13.9% of total)

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

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

preprocess23.0ms (0.1%)

Memory

23.6MiB live, 23.6MiB 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

0.6MiB live, 0.6MiB 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

3.1MiB live, 3.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	-12288	(exp.f64 (.f64 (.f64 x y) y))
cost-diff	0	(*.f64 x y)
cost-diff	0	(.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

localize29.0ms (0.1%)

Memory

-30.9MiB live, 26.9MiB 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	0.11328125	(.f64 (.f64 x y) y)

Samples

25.0ms

256×

valid

Compiler

Compiled 34 to 12 computations (64.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 17.0ms (90% of total)

ival-exp: 2.0ms (10.6% of total)

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

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

series6.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

3 → 9

Calls

Call 1

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

Outputs
(* x (pow y 2))
(* x y)
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(exp (* x (pow y 2)))
(+ 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	((* (* x y) y) (* x y) (exp (* (* x y) y)))
1.0ms	x	@	0	((* (* x y) y) (* x y) (exp (* (* x y) y)))
1.0ms	x	@	inf	((* (* x y) y) (* x y) (exp (* (* x y) y)))
1.0ms	x	@	-inf	((* (* x y) y) (* x y) (exp (* (* x y) y)))
1.0ms	y	@	0	((* (* x y) y) (* x y) (exp (* (* x y) y)))

simplify160.0ms (0.8%)

Memory

-1.2MiB live, 76.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	98
1	120	98
2	328	98
3	809	98
4	1107	98
5	1235	98
6	1315	98
7	1338	98
8	1352	98
9	2696	98
10	3291	98
11	4082	98
12	5078	98
13	5099	98
14	5099	98
15	5330	98
16	5330	98
17	5330	98
18	5330	98
19	6902	98
20	6902	98
0	6902	87

Stop Event

1×	iter limit
1×	saturated

Counts

9 → 9

Calls

Call 1

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

rewrite57.0ms (0.3%)

Memory

-17.5MiB live, 64.6MiB 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
(.f64 (.f64 x y) y)
(*.f64 x y)
(exp.f64 (.f64 (.f64 x y) y))

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

eval2.0ms (0%)

Memory: 3.0MiB live, 3.0MiB allocated
Compiler: Compiled 110 to 37 computations (66.4% saved)

prune2.0ms (0%)

Memory

3.2MiB live, 3.2MiB 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))
▶	65.9%	(exp.f64 y)
▶	63.1%	(exp.f64 x)
▶	64.7%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
▶	54.2%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify4.0ms (0%)

Memory

6.2MiB live, 6.2MiB 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 x)
cost-diff	0	(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
cost-diff	0	#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	32	40
3	34	40
4	35	40
0	35	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 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)
(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 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)
(exp.f64 x)
x
(exp.f64 y)
y

localize34.0ms (0.2%)

Memory

-0.4MiB live, 75.5MiB 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 x)
accuracy	0.05078125	(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
accuracy	22.60193742433837	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
accuracy	29.301434861294265	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Samples

26.0ms

256×

valid

Compiler

Compiled 74 to 25 computations (66.2% saved)

Precisions

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

ival-mult: 9.0ms (53% of total)

ival-exp: 5.0ms (29.5% of total)

ival-add: 3.0ms (17.7% 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

5.7MiB live, 5.7MiB 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 x) y #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
(*.f64 y x)
(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))))
(* x y)
(+ 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)))))))
(+ 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	x	@	-inf	((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp x) (exp y))
1.0ms	x	@	0	((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp x) (exp y))
1.0ms	y	@	-inf	((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp x) (exp y))
1.0ms	y	@	inf	((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp x) (exp y))
0.0ms	x	@	inf	((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp x) (exp y))

simplify164.0ms (0.8%)

Memory

10.8MiB live, 129.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	173
1	227	173
2	567	173
3	1496	173
4	2307	173
5	4036	173
0	8176	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))))
(* x y)
(+ 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)))))))
(+ 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))
(* 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))
(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))
(+ 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)

rewrite405.0ms (2%)

Memory

-11.0MiB live, 219.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
0	17	34
1	40	34
2	181	34
3	1517	34
0	8390	34

Stop Event

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

Counts

6 → 216

Calls

Call 1

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

eval78.0ms (0.4%)

Memory: -10.7MiB live, 78.9MiB allocated
Compiler: Compiled 7 843 to 772 computations (90.2% saved)

prune31.0ms (0.2%)

Memory

-13.2MiB live, 26.3MiB allocated

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	224	7	231
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	224	12	236

Accuracy

100.0%

Counts

236 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	65.9%	(exp.f64 y)
✓	63.1%	(exp.f64 x)
✓	64.7%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
▶	15.9%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)))
✓	54.2%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
▶	60.5%	#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)))
	58.3%	#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
▶	48.2%	#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
	43.1%	#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
▶	42.1%	#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
▶	35.0%	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))

Compiler

Compiled 187 to 149 computations (20.3% saved)

simplify13.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	127
0	42	127
1	64	127
2	94	127
3	176	127
4	333	127
5	420	127
6	444	127
0	444	125

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize109.0ms (0.5%)

Memory

8.5MiB live, 84.1MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
accuracy	0.00390625	(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
accuracy	23.96307310510136	#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy	0.0	(*.f64 y y)
accuracy	7.608457963778918	(.f64 (.f64 y y) x)
accuracy	22.60193742433837	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)))
accuracy	33.22830798568639	#s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))
accuracy	0.0	(+.f64 #s(literal 1 binary64) y)
accuracy	29.069037447171034	#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
accuracy	0.0	(+.f64 #s(literal 1 binary64) x)
accuracy	30.55686291008315	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
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	0.0625	(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
accuracy	0.16796875	(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy	10.322109036627985	#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)))

Samples

77.0ms

256×

valid

Compiler

Compiled 218 to 58 computations (73.4% saved)

Precisions

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

ival-mult: 16.0ms (45.6% of total)

ival-add: 9.0ms (25.6% of total)

ival-exp: 6.0ms (17.1% of total)

const: 4.0ms (11.4% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

15 → 45

Calls

Call 1

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

Outputs
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 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))
(+ 1 (* 1/2 x))
(exp x)
x
(* x (+ 1 (/ 1 x)))
(exp (* x (pow y 2)))
(* x (+ (/ 1 x) (pow y 2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(+ 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))
(+ 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)
(exp 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))))
y
(* y (+ 1 (/ 1 y)))
(* (pow y 2) (+ x (/ 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	y	@	-inf	((exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* 1/6 y) 1/2) (exp x) (+ 1 x) (exp y) (+ 1 y) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* (* y y) x) (* y y) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1))
1.0ms	y	@	inf	((exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* 1/6 y) 1/2) (exp x) (+ 1 x) (exp y) (+ 1 y) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* (* y y) x) (* y y) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1))
1.0ms	x	@	-inf	((exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* 1/6 y) 1/2) (exp x) (+ 1 x) (exp y) (+ 1 y) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* (* y y) x) (* y y) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1))
1.0ms	x	@	inf	((exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* 1/6 y) 1/2) (exp x) (+ 1 x) (exp y) (+ 1 y) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* (* y y) x) (* y y) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1))
1.0ms	x	@	0	((exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* 1/6 y) 1/2) (exp x) (+ 1 x) (exp y) (+ 1 y) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* (* y y) x) (* y y) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1))

simplify400.0ms (2%)

Memory

-5.5MiB live, 155.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	350
1	374	338
2	995	337
3	3423	334
4	6969	334
0	8205	288

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 43

Calls

Call 1

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

rewrite251.0ms (1.3%)

Memory

-16.5MiB live, 214.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	114
0	42	114
1	152	114
2	1090	114
0	8269	112

Stop Event

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

Counts

15 → 342

Calls

Call 1

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

Outputs
#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)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64)))))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)))))
(.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (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(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) 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))))))
(.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)) #s(literal -1 binary64)))
(*.f64 (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(literal 1 binary64))
(*.f64 #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)))
(pow.f64 (/.f64 #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))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64)))) (.f64 (pow.f64 (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(literal -1 binary64)) (pow.f64 (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(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 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))) (pow.f64 (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(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 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))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (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(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 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 (pow.f64 (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(literal -1 binary64)) (pow.f64 (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(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 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))) (pow.f64 (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(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 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))))
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(/.f64 (.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))

eval84.0ms (0.4%)

Memory: 40.0MiB live, 77.3MiB allocated
Compiler: Compiled 9 294 to 1 544 computations (83.4% saved)

prune61.0ms (0.3%)

Memory

-41.5MiB live, 66.5MiB allocated

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	369	7	376
Fresh	1	1	2
Picked	2	3	5
Done	0	5	5
Total	372	16	388

Accuracy

100.0%

Counts

388 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	65.9%	(exp.f64 y)
✓	63.1%	(exp.f64 x)
▶	61.2%	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 y y) (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) (.f64 y y) x) (.f64 y y) #s(literal 1 binary64)))
✓	64.7%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
✓	15.9%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)))
	13.4%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 x y) y)))
✓	54.2%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
▶	60.5%	#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)))
	58.3%	#s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
✓	48.2%	#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
▶	16.4%	#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))
	43.1%	#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)))
✓	35.0%	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
▶	10.8%	#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
▶	15.7%	#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))))

Compiler

Compiled 383 to 282 computations (26.4% saved)

simplify230.0ms (1.1%)

Memory

-9.4MiB live, 220.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.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)))
cost-diff	0	(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))
cost-diff	0	(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))
cost-diff	0	#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)))
cost-diff	0	(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)
cost-diff	0	#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))
cost-diff	0	#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
cost-diff	0	#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) (fma.f64 (.f64 y y) (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 y y) (.f64 #s(literal 1/6 binary64) 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 (.f64 y y) (.f64 #s(literal 1/6 binary64) 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	49	336
0	73	336
1	131	336
2	255	336
3	638	336
4	1852	336
5	2914	336
6	4838	336
7	4890	336
8	5109	336
9	5110	336
10	5110	336
0	8284	324

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

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

localize125.0ms (0.6%)

Memory

4.7MiB live, 169.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.09603500976844201	(fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))
accuracy	0.1640625	(fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))
accuracy	10.322109036627985	#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)))
accuracy	13.186697260837374	(/.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)))
accuracy	0.0625	(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)
accuracy	0.1640625	(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy	10.322109036627985	#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))
accuracy	32.606531142008286	#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))
accuracy	0.0	(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
accuracy	0.01171875	(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
accuracy	23.96307310510136	#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
accuracy	31.364396306928327	#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
accuracy	0.0	(.f64 (.f64 x x) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	23.96307310510136	#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
accuracy	31.504430764375982	#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
accuracy	3.1082876158987474	(fma.f64 (.f64 y y) (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
accuracy	3.997795701172188	(.f64 (.f64 x x) (fma.f64 (.f64 y y) (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))
accuracy	9.683402636176563	(fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 y y) (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) (*.f64 y y) x)
accuracy	17.943145400590346	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 y y) (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) (.f64 y y) x) (.f64 y y) #s(literal 1 binary64)))

Samples

95.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 590 to 97 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 49.0ms (63.2% of total)

ival-add: 13.0ms (16.8% of total)

const: 7.0ms (9% of total)

ival-exp: 6.0ms (7.7% of total)

ival-div: 2.0ms (2.6% of total)

exact: 1.0ms (1.3% of total)

adjust: 0.0ms (0% of total)

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

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

series19.0ms (0.1%)

Memory

-15.1MiB live, 29.1MiB allocated

Counts

23 → 73

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	y	@	-inf	((exp (* (* x y) y)) (+ (* (* (* x x) (+ (* (* y y) (* 1/6 x)) 1/2)) (* y y)) x) (* (* x x) (+ (* (* y y) (* 1/6 x)) 1/2)) (* x x) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (* x x) 1/2) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (* (+ (* 1/6 y) 1/2) y) y) (* (+ (* 1/6 y) 1/2) y) (exp y) (+ (* (+ (* (/ (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2)) y) 1) y) 1) (+ (* (/ (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2)) y) 1) (/ (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2)) (+ (* (* y y) (* 1/6 x)) 1/2) (+ (* 1/6 y) 1/2) (+ (* 1/6 y) -1/2) (+ (* 1/36 (* y y)) -1/4))
3.0ms	y	@	inf	((exp (* (* x y) y)) (+ (* (* (* x x) (+ (* (* y y) (* 1/6 x)) 1/2)) (* y y)) x) (* (* x x) (+ (* (* y y) (* 1/6 x)) 1/2)) (* x x) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (* x x) 1/2) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (* (+ (* 1/6 y) 1/2) y) y) (* (+ (* 1/6 y) 1/2) y) (exp y) (+ (* (+ (* (/ (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2)) y) 1) y) 1) (+ (* (/ (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2)) y) 1) (/ (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2)) (+ (* (* y y) (* 1/6 x)) 1/2) (+ (* 1/6 y) 1/2) (+ (* 1/6 y) -1/2) (+ (* 1/36 (* y y)) -1/4))
2.0ms	x	@	inf	((exp (* (* x y) y)) (+ (* (* (* x x) (+ (* (* y y) (* 1/6 x)) 1/2)) (* y y)) x) (* (* x x) (+ (* (* y y) (* 1/6 x)) 1/2)) (* x x) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (* x x) 1/2) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (* (+ (* 1/6 y) 1/2) y) y) (* (+ (* 1/6 y) 1/2) y) (exp y) (+ (* (+ (* (/ (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2)) y) 1) y) 1) (+ (* (/ (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2)) y) 1) (/ (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2)) (+ (* (* y y) (* 1/6 x)) 1/2) (+ (* 1/6 y) 1/2) (+ (* 1/6 y) -1/2) (+ (* 1/36 (* y y)) -1/4))
2.0ms	x	@	-inf	((exp (* (* x y) y)) (+ (* (* (* x x) (+ (* (* y y) (* 1/6 x)) 1/2)) (* y y)) x) (* (* x x) (+ (* (* y y) (* 1/6 x)) 1/2)) (* x x) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (* x x) 1/2) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (* (+ (* 1/6 y) 1/2) y) y) (* (+ (* 1/6 y) 1/2) y) (exp y) (+ (* (+ (* (/ (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2)) y) 1) y) 1) (+ (* (/ (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2)) y) 1) (/ (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2)) (+ (* (* y y) (* 1/6 x)) 1/2) (+ (* 1/6 y) 1/2) (+ (* 1/6 y) -1/2) (+ (* 1/36 (* y y)) -1/4))
2.0ms	y	@	0	((exp (* (* x y) y)) (+ (* (* (* x x) (+ (* (* y y) (* 1/6 x)) 1/2)) (* y y)) x) (* (* x x) (+ (* (* y y) (* 1/6 x)) 1/2)) (* x x) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (* x x) 1/2) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (* (+ (* 1/6 y) 1/2) y) y) (* (+ (* 1/6 y) 1/2) y) (exp y) (+ (* (+ (* (/ (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2)) y) 1) y) 1) (+ (* (/ (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2)) y) 1) (/ (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2)) (+ (* (* y y) (* 1/6 x)) 1/2) (+ (* 1/6 y) 1/2) (+ (* 1/6 y) -1/2) (+ (* 1/36 (* y y)) -1/4))

simplify259.0ms (1.3%)

Memory

22.9MiB live, 188.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	690
1	584	687
2	1751	677
3	4672	674
0	8338	603

Stop Event

1×	iter limit
1×	node limit

Counts

73 → 72

Calls

Call 1

Inputs
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
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)))))
(pow x 2)
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* x (+ 1 (* 1/2 x)))
(+ 1 (* 1/2 x))
1/2
(+ 1/2 (* 1/6 (* x (pow y 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))))
(exp x)
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* 1/6 (* x (pow y 2)))
(* x (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x))))
(* -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 (- (* -1/6 (pow y 2)) (* 1/2 (/ 1 x)))))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(+ x (* 1/2 (* (pow x 2) (pow y 2))))
(+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))
(+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(* 1/2 (pow y 2))
(* (pow y 2) (+ 1/2 (* 1/6 y)))
(* 1/2 y)
(* y (+ 1/2 (* 1/6 y)))
(+ 1 (* 1/2 y))
(+ 1 (* y (+ 1/2 (* 1/6 y))))
(+ 1/2 (* 1/6 y))
-1/2
(- (* 1/6 y) 1/2)
-1/4
(- (* 1/36 (pow y 2)) 1/4)
(* (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)
(* 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))))
(* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ 1 (pow y 2)))))
(* y (- 1/6 (* 1/2 (/ 1 y))))
(* 1/36 (pow y 2))
(* (pow y 2) (- 1/36 (* 1/4 (/ 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)))
(* -1 (* y (- (* 1/2 (/ 1 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)
(pow x 2)
(*.f64 x 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 (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (* x (pow y 2))))
(fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) 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 (.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) x)
(* (pow x 3) (+ (* 1/6 (pow y 4)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 (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)))
(.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 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x)
(exp x)
(exp.f64 x)
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* 1/6 (* x (pow y 2)))
(.f64 (.f64 (*.f64 y y) #s(literal 1/6 binary64)) x)
(* x (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x))))
(fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 4)))))
(.f64 (.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) x)
(* -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 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x)
(* -1 (* x (- (* -1/6 (pow y 2)) (* 1/2 (/ 1 x)))))
(fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 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))
(* 1/2 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/2 binary64))
(* (pow y 2) (+ 1/2 (* 1/6 y)))
(.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ 1/2 (* 1/6 y)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)
(+ 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 (* 1/6 y))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 y) 1/2)
(fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))
-1/4
#s(literal -1/4 binary64)
(- (* 1/36 (pow y 2)) 1/4)
(fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 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)
(* 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 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 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))
(* 1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/6 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))
(* 1/6 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))
(* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* y (- 1/6 (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))
(* 1/36 (pow y 2))
(.f64 #s(literal 1/36 binary64) (.f64 y y))
(* (pow y 2) (- 1/36 (* 1/4 (/ 1 (pow y 2)))))
(.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))) y) y)
(* -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 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) y) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* y (- (* 1/2 (/ 1 y)) 1/6)))
(fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))

rewrite198.0ms (1%)

Memory

-6.2MiB live, 216.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	283
0	73	276
1	273	251
2	2097	249
0	8438	243

Stop Event

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

Counts

23 → 678

Calls

Call 1

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

Outputs
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 y y) #s(literal 1/2 binary64)) x) (.f64 y y) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 y y) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 y y) #s(literal 1/2 binary64))))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 y y) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) (neg.f64 x)))))
(.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 y y) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 y y) #s(literal 1/2 binary64)))) (pow.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 y y) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 y y) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 y y) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 y y) #s(literal 1/2 binary64))) x)))))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 y y) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 y y) #s(literal 1/2 binary64)))) (pow.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
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(.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/64 binary64)) (pow.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)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) y) #s(literal 4 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal 1/4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) y) #s(literal 4 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) y) #s(literal 4 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal 1/4 binary64))) (fma.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal 1/4 binary64))) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) y) #s(literal 4 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal 1/4 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 #s(literal 1/6 binary64) y) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/36 binary64) (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/16 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/64 binary64)))) (neg.f64 (neg.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)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) y) #s(literal 6 binary64)) #s(literal 1/64 binary64))) (neg.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) y) #s(literal 4 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 #s(literal 1/6 binary64) y) #s(literal 4 binary64))) (-.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/36 binary64) (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) y) #s(literal 6 binary64)) #s(literal 1/64 binary64)) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/16 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/64 binary64))) (neg.f64 (+.f64 #s(literal 1/16 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) y) #s(literal 4 binary64)) (.f64 (*.f64 y y) #s(literal -1/144 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/64 binary64))) (neg.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))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/16 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/64 binary64)) (+.f64 #s(literal 1/16 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) y) #s(literal 4 binary64)) (.f64 (*.f64 y y) #s(literal -1/144 binary64)))))
(/.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/64 binary64)) (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)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 y y))) (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 4 binary64)))))
(/.f64 #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 #s(literal 1/36 binary64) (.f64 y y)) #s(literal 1/4 binary64)))) (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) y) #s(literal 6 binary64)) #s(literal 1/64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) y) #s(literal 4 binary64)) (.f64 (*.f64 y y) #s(literal -1/144 binary64)))) (fma.f64 #s(literal 1/46656 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) y) #s(literal 1/6 binary64)) y #s(literal -1/4 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) y) y) #s(literal 1/6 binary64) #s(literal -1/4 binary64))
(fma.f64 (*.f64 #s(literal 1/36 binary64) y) y #s(literal -1/4 binary64))
(fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) y) (.f64 #s(literal 1/6 binary64) y) #s(literal -1/4 binary64))
(fma.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1/4 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/6 binary64) y)) #s(literal -1/4 binary64))
(fma.f64 y (*.f64 #s(literal 1/36 binary64) y) #s(literal -1/4 binary64))
(-.f64 (/.f64 #s(literal 1/16 binary64) (-.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 y y)))) (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) y) #s(literal 4 binary64)) (-.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/36 binary64) (*.f64 y y)))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) y) #s(literal 6 binary64)) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 #s(literal 1/36 binary64) (*.f64 y y)) #s(literal 1/4 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) y) #s(literal 4 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal 1/4 binary64))))
(-.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) #s(literal 1/4 binary64))
(+.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) #s(literal -1/4 binary64))
(+.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 y y)))

eval130.0ms (0.6%)

Memory: 22.7MiB live, 176.1MiB allocated
Compiler: Compiled 21 934 to 3 198 computations (85.4% saved)

prune44.0ms (0.2%)

Memory

-12.9MiB live, 78.6MiB allocated

Pruning

20 alts after pruning (10 fresh and 10 done)

	Pruned	Kept	Total
New	643	9	652
Fresh	2	1	3
Picked	3	2	5
Done	0	8	8
Total	648	20	668

Accuracy

100.0%

Counts

668 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	65.9%	(exp.f64 y)
✓	63.1%	(exp.f64 x)
	73.0%	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 y x) y) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 y y) #s(literal 1/2 binary64)) x) x) (.f64 y y) #s(literal 1 binary64)))
	61.2%	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 y x) y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 y y) x) (.f64 y y) #s(literal 1 binary64)))
	61.0%	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 x x) #s(approx (+ (* (* y y) (* 1/6 x)) 1/2) (.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) x))) (.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
✓	64.7%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
	71.5%	#s(approx (exp (* (* x y) y)) (fma.f64 #s(approx (+ (* (* (* x x) (+ (* (* y y) (* 1/6 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)))
✓	15.9%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)))
✓	54.2%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
✓	48.2%	#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
	17.9%	#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))
	16.4%	#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) y) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) y)))
	16.4%	#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 #s(approx ( (+ (* 1/6 y) 1/2) y) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y)))
	14.3%	#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 #s(approx ( (+ (* 1/6 y) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) y)))
	43.1%	#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)))
✓	35.0%	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
	10.8%	#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 x #s(literal 1 binary64)))))
✓	10.8%	#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
✓	15.7%	#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))))

Compiler

Compiled 939 to 413 computations (56% saved)

regimes61.0ms (0.3%)

Memory

0.8MiB live, 39.8MiB 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 x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 #s(approx ( (+ (* 1/6 y) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 x y) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
#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 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 #s(approx ( (+ (* 1/6 y) 1/2) y) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y)))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 x #s(literal 1 binary64)))))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))
#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 y) y)) (fma.f64 #s(approx (+ (* (* (* x x) (+ (* (* y y) (* 1/6 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) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) y) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) y)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 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) #s(approx (+ (* (* y y) (* 1/6 x)) 1/2) (.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) x))) (.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 (.f64 y y) (.f64 #s(literal 1/6 binary64) 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 (.f64 (.f64 y x) y) #s(literal 1/6 binary64) #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 x) y) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 y y) #s(literal 1/2 binary64)) x) x) (.f64 y y) #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:

36.0ms	y
8.0ms	x
8.0ms	(.f64 (.f64 x y) y)
7.0ms	(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)

regimes45.0ms (0.2%)

Memory

18.1MiB live, 55.4MiB 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 x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 #s(approx ( (+ (* 1/6 y) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 x y) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
#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 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 #s(approx ( (+ (* 1/6 y) 1/2) y) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y)))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 x #s(literal 1 binary64)))))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))
#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 y) y)) (fma.f64 #s(approx (+ (* (* (* x x) (+ (* (* y y) (* 1/6 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) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) y) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) y)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 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) #s(approx (+ (* (* y y) (* 1/6 x)) 1/2) (.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) x))) (.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 (.f64 y y) (.f64 #s(literal 1/6 binary64) 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 (.f64 (.f64 y x) y) #s(literal 1/6 binary64) #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 x) y) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 y y) #s(literal 1/2 binary64)) x) x) (.f64 y y) #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 x) y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) x) x) (*.f64 y y) #s(literal 1 binary64)))

Calls

4 calls:

20.0ms	(exp.f64 (.f64 (.f64 x y) y))
8.0ms	y
8.0ms	x
7.0ms	(.f64 (.f64 x y) y)

Results

Accuracy	Segments	Branch
80.5%	2	`x`
80.9%	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)

regimes85.0ms (0.4%)

Memory

-40.0MiB live, 54.4MiB 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 x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 #s(approx ( (+ (* 1/6 y) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 x y) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
#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 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 #s(approx ( (+ (* 1/6 y) 1/2) y) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y)))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 x #s(literal 1 binary64)))))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))
#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 y) y)) (fma.f64 #s(approx (+ (* (* (* x x) (+ (* (* y y) (* 1/6 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) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) y) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) y)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 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) #s(approx (+ (* (* y y) (* 1/6 x)) 1/2) (.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) x))) (.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 (.f64 y y) (.f64 #s(literal 1/6 binary64) 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 (.f64 (.f64 y x) y) #s(literal 1/6 binary64) #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 x) y) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 y y) #s(literal 1/2 binary64)) x) x) (.f64 y y) #s(literal 1 binary64)))

Outputs

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

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

Calls

4 calls:

60.0ms	x
9.0ms	(.f64 (.f64 x y) y)
8.0ms	y
6.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
73.0%	1	`x`
73.0%	1	`y`
78.2%	2	`(exp.f64 (.f64 (.f64 x y) y))`
78.2%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes14.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

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

Outputs

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

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

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

Results

Accuracy	Segments	Branch
76.6%	2	`(exp.f64 (.f64 (.f64 x y) y))`
76.6%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes21.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
64.7%	1	`x`
70.0%	3	`y`
72.3%	3	`(exp.f64 (.f64 (.f64 x y) y))`
72.3%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes16.0ms (0.1%)

Memory

-28.0MiB live, 10.8MiB allocated

Counts

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
72.0%	3	`(exp.f64 (.f64 (.f64 x y) y))`
72.0%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes5.0ms (0%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
69.7%	3	`(exp.f64 (.f64 (.f64 x y) y))`
72.0%	4	`(.f64 (.f64 x y) y)`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes5.0ms (0%)

Memory

12.9MiB live, 12.9MiB 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 x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 #s(approx ( (+ (* 1/6 y) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) y)))

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
64.7%	2	`y`
69.7%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes10.0ms (0.1%)

Memory

-17.8MiB live, 19.4MiB allocated

Counts

4 → 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 x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))))

Outputs

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

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

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

Calls

4 calls:

4.0ms	x
2.0ms	y
2.0ms	(.f64 (.f64 x y) y)
2.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
61.3%	2	`y`
58.8%	2	`x`
66.2%	3	`(exp.f64 (.f64 (.f64 x y) y))`
66.2%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes7.0ms (0%)

Memory

22.8MiB live, 22.8MiB allocated

Accuracy

Total -16.6b remaining (-56.8%)

Threshold costs -16.6b (-56.8%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
54.2%	1	`x`
54.2%	1	`y`
54.2%	1	`(exp.f64 (.f64 (.f64 x y) y))`
54.2%	1	`(.f64 (.f64 x y) y)`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-981252965218.2191	-4.5592283093256167e-5

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.6195590311821985e+28	-981252965218.2191

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.6195590311821985e+28	-981252965218.2191

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch3.0ms (0%)

Memory

-37.2MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.02888558569596642	81544424240.7868
0.0ms	-1.6195590311821985e+28	-981252965218.2191

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.02888558569596642	81544424240.7868
0.0ms	-1.6195590311821985e+28	-981252965218.2191

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	6.257317710328078e+269	1.1799544494539528e+299
0.0ms	9.181265751267847e+52	1.2452869811981213e+56
0.0ms	-1.6195590311821985e+28	-981252965218.2191

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.181265751267847e+52	1.2452869811981213e+56
0.0ms	-1.6195590311821985e+28	-981252965218.2191

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.02888558569596642	81544424240.7868
0.0ms	-1.6195590311821985e+28	-981252965218.2191

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify111.0ms (0.6%)

Memory

-7.0MiB live, 37.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	520
1	133	520
2	244	520
3	539	520
4	1312	520
5	1656	520
6	1846	520
7	2137	520
8	2431	520
9	2541	520
10	2541	520
11	2541	520
12	2946	520

Stop Event

1×

saturated

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 x y) y))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -500000000000 binary64)) (exp.f64 x) #s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 y x) y) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 y y) #s(literal 1/2 binary64)) x) x) (.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -9999999999999999583119736832 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 y x) y) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 y y) #s(literal 1/2 binary64)) x) x) (.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -9999999999999999583119736832 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (exp (* (* x y) y)) (fma.f64 #s(approx (+ (* (* (* x x) (+ (* (* y y) (* 1/6 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 -9999999999999999583119736832 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -9999999999999999583119736832 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -9999999999999999583119736832 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 99999999999999999322094867436162797646170844194406400 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 1000000000000000046753818885456127989189605431330410286841364872744016439394555894610368258180303336939076888134044950289326168184662430331474313277416979816387389279864637935586997520238352311022660078293728671385192933261062303434752638026781377548741967884639283445760 binary64)) #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 #s(approx ( (+ (* 1/6 y) 1/2) y) (.f64 #s(literal 1/2 binary64) y)) y))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 x y) y))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -9999999999999999583119736832 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 99999999999999999322094867436162797646170844194406400 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 #s(approx ( (+ (* 1/6 y) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) y)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -9999999999999999583119736832 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))))))
#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 -500000000000 binary64)) (exp.f64 x) #s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 y x) y) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 y y) #s(literal 1/2 binary64)) x) x) (.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -9999999999999999583119736832 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 y x) y) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 y y) #s(literal 1/2 binary64)) x) x) (.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -9999999999999999583119736832 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (exp (* (* x y) y)) (fma.f64 #s(approx (+ (* (* (* x x) (+ (* (* y y) (* 1/6 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 -9999999999999999583119736832 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -9999999999999999583119736832 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -9999999999999999583119736832 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 99999999999999999322094867436162797646170844194406400 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 1000000000000000046753818885456127989189605431330410286841364872744016439394555894610368258180303336939076888134044950289326168184662430331474313277416979816387389279864637935586997520238352311022660078293728671385192933261062303434752638026781377548741967884639283445760 binary64)) #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 #s(approx ( (+ (* 1/6 y) 1/2) y) (.f64 #s(literal 1/2 binary64) y)) y))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 x y) y))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -9999999999999999583119736832 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 99999999999999999322094867436162797646170844194406400 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 #s(approx ( (+ (* 1/6 y) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) y)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -9999999999999999583119736832 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))))))
(if (or (<=.f64 (.f64 (.f64 x y) y) #s(literal -9999999999999999583119736832 binary64)) (not (<=.f64 (.f64 (.f64 x y) y) #s(literal 3602879701896397/72057594037927936 binary64)))) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

soundness16.0s (79.6%)

Memory

14.3MiB live, 843.2MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	120	350
1	374	338
2	995	337
3	3423	334
4	6969	334
0	8205	288
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	49	283
0	73	276
1	273	251
2	2097	249
0	8438	243
0	181	690
1	584	687
2	1751	677
3	4672	674
0	8338	603
0	79	173
1	227	173
2	567	173
3	1496	173
4	2307	173
5	4036	173
0	8176	149
0	28	114
0	42	114
1	152	114
2	1090	114
0	8269	112
0	44	98
1	120	98
2	328	98
3	809	98
4	1107	98
5	1235	98
6	1315	98
7	1338	98
8	1352	98
9	2696	98
10	3291	98
11	4082	98
12	5078	98
13	5099	98
14	5099	98
15	5330	98
16	5330	98
17	5330	98
18	5330	98
19	6902	98
20	6902	98
0	6902	87

Stop Event

1×	fuel
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

Compiler

Compiled 714 to 289 computations (59.5% saved)

preprocess71.0ms (0.4%)

Memory: 4.3MiB live, 123.8MiB allocated
Remove: (abs y)
Compiler: Compiled 1 076 to 218 computations (79.7% 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	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

start0.0ms (0%)

analyze0.0ms (0%)

sample636.0ms (3.2%)

explain74.0ms (0.4%)

preprocess23.0ms (0.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize29.0ms (0.1%)

series6.0ms (0%)

simplify160.0ms (0.8%)

rewrite57.0ms (0.3%)

eval2.0ms (0%)

prune2.0ms (0%)

simplify4.0ms (0%)

localize34.0ms (0.2%)

series3.0ms (0%)

simplify164.0ms (0.8%)

rewrite405.0ms (2%)

eval78.0ms (0.4%)

prune31.0ms (0.2%)

simplify13.0ms (0.1%)

localize109.0ms (0.5%)

series8.0ms (0%)

simplify400.0ms (2%)

rewrite251.0ms (1.3%)

eval84.0ms (0.4%)

prune61.0ms (0.3%)

simplify230.0ms (1.1%)

localize125.0ms (0.6%)

series19.0ms (0.1%)

simplify259.0ms (1.3%)

rewrite198.0ms (1%)

eval130.0ms (0.6%)

prune44.0ms (0.2%)

regimes61.0ms (0.3%)

regimes45.0ms (0.2%)

regimes85.0ms (0.4%)

regimes14.0ms (0.1%)

regimes21.0ms (0.1%)

regimes16.0ms (0.1%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes10.0ms (0.1%)

regimes7.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch3.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify111.0ms (0.6%)

soundness16.0s (79.6%)

preprocess71.0ms (0.4%)

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