Metrics for Data.Number.Erf:$dmerfcx from erf-2.0.0.0

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze4.0ms (0%)

Memory

-36.2MiB live, 0.6MiB 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)

sample910.0ms (4.2%)

Memory

25.3MiB live, 793.3MiB allocated

Samples

616.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 283.0ms

ival-mult: 204.0ms (72.2% of total)

ival-exp: 69.0ms (24.4% of total)

ival-true: 6.0ms (2.1% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain142.0ms (0.7%)

Memory

-30.1MiB live, 91.6MiB allocated

FPErrors

Click to see full error table

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

Total Time

5.8037109375

Average Time

0.022670745849609375

Samples

33.0ms

256×

valid

Compiler

Compiled 53 to 22 computations (58.5% saved)

Precisions

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

ival-mult: 3.0ms (51.9% of total)

ival-exp: 2.0ms (34.6% of total)

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

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

preprocess56.0ms (0.3%)

Memory

22.9MiB live, 60.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	32
1	49	32
2	99	32
3	216	32
4	362	32
5	517	32
6	603	32
7	640	32
8	674	32
9	681	32
10	685	32
11	686	32
0	5	6
0	8	6
1	11	6
0	11	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

(negabs x)

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%	(.f64 x (exp.f64 (.f64 y y)))

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	-6144	(exp.f64 (*.f64 y y))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 x (exp.f64 (.f64 y y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	11	15
0	11	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize119.0ms (0.6%)

Memory

-20.2MiB live, 17.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0	(exp.f64 (*.f64 y y))
accuracy	0.0078125	(.f64 x (exp.f64 (.f64 y y)))

Samples

114.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

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

ival-mult: 4.0ms (63.3% of total)

ival-exp: 2.0ms (31.7% of total)

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

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

series4.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

3 → 11

Calls

Call 1

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

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

Calls

6 calls:

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

simplify108.0ms (0.5%)

Memory

-4.0MiB live, 35.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	97
1	95	97
2	276	91
3	750	89
4	989	89
5	1161	89
6	1318	89
7	1436	89
8	1436	87
9	1767	87
10	1800	87
11	1801	87
12	1823	87
0	1823	75

Stop Event

1×	iter limit
1×	saturated

Counts

11 → 10

Calls

Call 1

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

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

rewrite76.0ms (0.4%)

Memory

10.8MiB live, 50.5MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	13	13
2	26	13
3	69	13
4	294	5
0	2666	5

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

3 → 7

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
y
#s(literal 0 binary64)
#s(literal 1 binary64)

eval2.0ms (0%)

Memory: 4.0MiB live, 4.0MiB allocated
Compiler: Compiled 171 to 47 computations (72.5% saved)

prune2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	14	3	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	4	18

Accuracy

100.0%

Counts

18 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
▶	98.4%	(*.f64 x (exp.f64 y))
▶	51.2%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
▶	79.3%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))

Compiler

Compiled 31 to 24 computations (22.6% saved)

simplify6.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	48
0	19	48
1	31	48
2	36	48
3	42	48
4	42	48
5	79	48
6	79	48
7	84	48
8	85	48
0	85	48

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize53.0ms (0.2%)

Memory

-2.3MiB live, 35.0MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 y)
accuracy	0.0234375	(*.f64 x (exp.f64 y))
accuracy	0.0078125	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
accuracy	31.384557763464997	#s(approx (exp (* y y)) #s(literal 1 binary64))
accuracy	0	(*.f64 y y)
accuracy	3.9880873647711623	(fma.f64 (*.f64 y y) x x)
accuracy	17.194875650687926	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))

Samples

44.0ms

256×

valid

Compiler

Compiled 88 to 25 computations (71.6% saved)

Precisions

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

ival-mult: 6.0ms (52.3% of total)

ival-exp: 4.0ms (34.9% of total)

ival-add: 1.0ms (8.7% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0%)

Memory

-21.0MiB live, 15.3MiB allocated

Counts

7 → 23

Calls

Call 1

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

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

Calls

6 calls:

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

simplify14.3s (66.6%)

Memory

10.5MiB live, 131.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	187
1	208	187
2	527	179
3	1311	177
4	2236	177
5	6542	177
0	8125	151

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

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

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

rewrite454.0ms (2.1%)

Memory

-0.1MiB live, 134.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
0	19	42
1	46	42
2	205	42
3	1791	42
0	8578	42

Stop Event

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

Counts

7 → 188

Calls

Call 1

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

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

eval38.0ms (0.2%)

Memory: -13.5MiB live, 23.6MiB allocated
Compiler: Compiled 7 390 to 743 computations (89.9% saved)

prune7.0ms (0%)

Memory

17.2MiB live, 17.2MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	201	6	207
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	202	9	211

Accuracy

100.0%

Counts

211 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	98.4%	(*.f64 x (exp.f64 y))
✓	51.2%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
	85.0%	(*.f64 x #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))))
▶	91.0%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)))
▶	73.1%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
▶	79.3%	#s(approx (* x (exp (* y y))) (+.f64 (.f64 (.f64 y y) x) x))
▶	32.4%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x)))
▶	62.1%	#s(approx (* x (exp y)) (fma.f64 y x x))

Compiler

Compiled 210 to 140 computations (33.3% saved)

simplify39.0ms (0.2%)

Memory

-6.8MiB live, 32.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	0	#s(approx (* x (exp (* y y))) (+.f64 (.f64 (.f64 y y) x) x))
cost-diff	128	(+.f64 (.f64 (.f64 y y) x) x)
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 (*.f64 y x) y x)
cost-diff	0	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	0	#s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x))
cost-diff	0	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x)))
cost-diff	0	(fma.f64 y x x)
cost-diff	0	#s(approx (* x (exp y)) (fma.f64 y x x))
cost-diff	0	(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
cost-diff	0	(pow.f64 y #s(literal 4 binary64))
cost-diff	0	(*.f64 (pow.f64 y #s(literal 4 binary64)) x)
cost-diff	0	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	189
0	47	185
1	80	185
2	149	183
3	286	183
4	599	183
5	863	183
6	896	183
7	897	183
0	897	181

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize186.0ms (0.9%)

Memory

-9.6MiB live, 73.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0.00390625	(+.f64 (.f64 (.f64 y y) x) x)
accuracy	6.649781808716608	(.f64 (.f64 y y) x)
accuracy	17.194875650687926	#s(approx (* x (exp (* y y))) (+.f64 (.f64 (.f64 y y) x) x))
accuracy	0	(*.f64 y x)
accuracy	0.07421875	(fma.f64 (*.f64 y x) y x)
accuracy	17.194875650687926	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
accuracy	0	(*.f64 y y)
accuracy	6.649781808716608	(.f64 (.f64 y y) x)
accuracy	17.194875650687926	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x)))
accuracy	30.576026126783553	#s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x))
accuracy	0	(fma.f64 y x x)
accuracy	23.87226823184591	#s(approx (* x (exp y)) (fma.f64 y x x))
accuracy	0.0859375	(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
accuracy	3.9919936147711623	(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
accuracy	4.495950601282298	(*.f64 (pow.f64 y #s(literal 4 binary64)) x)
accuracy	6.198625014401661	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)))

Samples

109.0ms

256×

valid

Compiler

Compiled 329 to 58 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

const: 65.0ms (68.7% of total)

ival-mult: 14.0ms (14.8% of total)

ival-add: 6.0ms (6.3% of total)

ival-exp: 4.0ms (4.2% of total)

ival-pow: 4.0ms (4.2% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.1%)

Memory

20.1MiB live, 20.1MiB allocated

Counts

16 → 25

Calls

Call 1

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

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

Calls

6 calls:

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

simplify295.0ms (1.4%)

Memory

12.9MiB live, 122.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	169
1	207	169
2	519	165
3	1249	163
4	2470	163
5	7664	163
0	8049	142

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 24

Calls

Call 1

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

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

rewrite385.0ms (1.8%)

Memory

2.6MiB live, 276.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	142
0	47	138
1	162	138
2	1001	137
0	9023	136

Stop Event

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

Counts

16 → 302

Calls

Call 1

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

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

eval77.0ms (0.4%)

Memory: -24.6MiB live, 103.6MiB allocated
Compiler: Compiled 5 748 to 775 computations (86.5% saved)

prune10.0ms (0%)

Memory

-6.8MiB live, 32.3MiB allocated

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	212	5	217
Fresh	0	1	1
Picked	1	4	5
Done	0	3	3
Total	213	13	226

Accuracy

100.0%

Counts

226 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	98.4%	(*.f64 x (exp.f64 y))
✓	51.2%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
▶	85.0%	(*.f64 x #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))))
▶	91.0%	#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 y y) x) x))
	91.0%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) x) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 (fma.f64 y y #s(literal 1 binary64)) x)))
▶	90.3%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (.f64 y y) x) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 (fma.f64 y y #s(literal 1 binary64)) x)))
✓	73.1%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
✓	79.3%	#s(approx (* x (exp (* y y))) (+.f64 (.f64 (.f64 y y) x) x))
✓	32.4%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x)))
▶	26.2%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y x) y)))
✓	62.1%	#s(approx (* x (exp y)) (fma.f64 y x x))
▶	45.5%	#s(approx (* x (exp y)) (/.f64 (.f64 x (-.f64 (.f64 (.f64 y y) x) x)) (-.f64 (.f64 y x) x)))

Compiler

Compiled 350 to 210 computations (40% saved)

simplify138.0ms (0.6%)

Memory

33.0MiB live, 186.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	0	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (.f64 y y) x) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 (fma.f64 y y #s(literal 1 binary64)) x)))
cost-diff	320	(fma.f64 (.f64 (.f64 (.f64 y y) x) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 (fma.f64 y y #s(literal 1 binary64)) x))
cost-diff	0	(.f64 x (-.f64 (.f64 (*.f64 y y) x) x))
cost-diff	0	#s(approx (* x (exp y)) (/.f64 (.f64 x (-.f64 (.f64 (.f64 y y) x) x)) (-.f64 (.f64 y x) x)))
cost-diff	128	(-.f64 (.f64 (.f64 y y) x) x)
cost-diff	1856	(/.f64 (.f64 x (-.f64 (.f64 (.f64 y y) x) x)) (-.f64 (.f64 y x) x))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
cost-diff	0	#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
cost-diff	0	(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
cost-diff	0	(*.f64 y x)
cost-diff	0	(.f64 (.f64 y x) y)
cost-diff	0	#s(approx (+ (* (* y y) x) x) (.f64 (.f64 y x) y))
cost-diff	0	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y x) y)))
cost-diff	0	(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 (.f64 y y) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 y y) x) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	328
0	64	318
1	120	318
2	311	316
3	875	310
4	1803	302
5	4115	290
6	6263	290
0	8646	282

Stop Event

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

Calls

Call 1

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

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

localize112.0ms (0.5%)

Memory

-35.2MiB live, 210.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(.f64 (.f64 (.f64 y y) x) (.f64 y y))
accuracy	3.9919936147711623	(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
accuracy	6.198625014401661	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (.f64 y y) x) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 (fma.f64 y y #s(literal 1 binary64)) x)))
accuracy	6.649781808716608	(.f64 (.f64 y y) x)
accuracy	1.6737975085113892	(.f64 x (-.f64 (.f64 (*.f64 y y) x) x))
accuracy	6.649781808716608	(.f64 (.f64 y y) x)
accuracy	23.87226823184591	#s(approx (* x (exp y)) (/.f64 (.f64 x (-.f64 (.f64 (.f64 y y) x) x)) (-.f64 (.f64 y x) x)))
accuracy	30.57900814319981	(/.f64 (.f64 x (-.f64 (.f64 (.f64 y y) x) x)) (-.f64 (.f64 y x) x))
accuracy	0.05078125	(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	0.078125	(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
accuracy	0.17578125	(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy	11.562532540064806	#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy	0	(*.f64 y x)
accuracy	0.12890625	(.f64 (.f64 y x) y)
accuracy	17.194875650687926	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y x) y)))
accuracy	30.576026126783553	#s(approx (+ (* (* y y) x) x) (.f64 (.f64 y x) y))
accuracy	0.0859375	(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
accuracy	0.5152972929801201	(fma.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 y y) x) x)
accuracy	6.198625014401661	#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 y y) x) x))
accuracy	6.649781808716608	(.f64 (.f64 y y) x)

Samples

83.0ms

256×

valid

Compiler

Compiled 576 to 74 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 26.0ms (52.4% of total)

ival-add: 10.0ms (20.2% of total)

const: 5.0ms (10.1% of total)

ival-exp: 4.0ms (8.1% of total)

ival-div: 2.0ms (4% of total)

ival-sub: 2.0ms (4% of total)

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

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

exact: 0.0ms (0% of total)

series28.0ms (0.1%)

Memory

15.3MiB live, 53.9MiB allocated

Counts

23 → 66

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((* x (exp (* y y))) (+ (* (* y y) (+ (* 1/6 (* y y)) 1/2)) 1) (* y y) (+ (* 1/6 (* y y)) 1/2) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y x) y) (* y x) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (/ (* x (- (* (* y y) x) x)) (- (* y x) x)) (- (* (* y y) x) x) (* x (exp y)) (* x (- (* (* y y) x) x)) (+ (* (* (* (* y y) x) (* y y)) (+ (* 1/6 (* y y)) 1/2)) (* (+ (* y y) 1) x)) (* x (exp (* y y))) (* (* y y) x) (+ (* (+ (* (* y y) (+ (* 1/6 (* y y)) 1/2)) 1) (* (* y y) x)) x) (+ (* 1/6 y) 1/2) (* (+ (* y y) 1) x) (* (* (* y y) x) (* y y)))
4.0ms	x	@	0	((* x (exp (* y y))) (+ (* (* y y) (+ (* 1/6 (* y y)) 1/2)) 1) (* y y) (+ (* 1/6 (* y y)) 1/2) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y x) y) (* y x) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (/ (* x (- (* (* y y) x) x)) (- (* y x) x)) (- (* (* y y) x) x) (* x (exp y)) (* x (- (* (* y y) x) x)) (+ (* (* (* (* y y) x) (* y y)) (+ (* 1/6 (* y y)) 1/2)) (* (+ (* y y) 1) x)) (* x (exp (* y y))) (* (* y y) x) (+ (* (+ (* (* y y) (+ (* 1/6 (* y y)) 1/2)) 1) (* (* y y) x)) x) (+ (* 1/6 y) 1/2) (* (+ (* y y) 1) x) (* (* (* y y) x) (* y y)))
4.0ms	x	@	inf	((* x (exp (* y y))) (+ (* (* y y) (+ (* 1/6 (* y y)) 1/2)) 1) (* y y) (+ (* 1/6 (* y y)) 1/2) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y x) y) (* y x) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (/ (* x (- (* (* y y) x) x)) (- (* y x) x)) (- (* (* y y) x) x) (* x (exp y)) (* x (- (* (* y y) x) x)) (+ (* (* (* (* y y) x) (* y y)) (+ (* 1/6 (* y y)) 1/2)) (* (+ (* y y) 1) x)) (* x (exp (* y y))) (* (* y y) x) (+ (* (+ (* (* y y) (+ (* 1/6 (* y y)) 1/2)) 1) (* (* y y) x)) x) (+ (* 1/6 y) 1/2) (* (+ (* y y) 1) x) (* (* (* y y) x) (* y y)))
4.0ms	y	@	0	((* x (exp (* y y))) (+ (* (* y y) (+ (* 1/6 (* y y)) 1/2)) 1) (* y y) (+ (* 1/6 (* y y)) 1/2) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y x) y) (* y x) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (/ (* x (- (* (* y y) x) x)) (- (* y x) x)) (- (* (* y y) x) x) (* x (exp y)) (* x (- (* (* y y) x) x)) (+ (* (* (* (* y y) x) (* y y)) (+ (* 1/6 (* y y)) 1/2)) (* (+ (* y y) 1) x)) (* x (exp (* y y))) (* (* y y) x) (+ (* (+ (* (* y y) (+ (* 1/6 (* y y)) 1/2)) 1) (* (* y y) x)) x) (+ (* 1/6 y) 1/2) (* (+ (* y y) 1) x) (* (* (* y y) x) (* y y)))
3.0ms	y	@	inf	((* x (exp (* y y))) (+ (* (* y y) (+ (* 1/6 (* y y)) 1/2)) 1) (* y y) (+ (* 1/6 (* y y)) 1/2) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y x) y) (* y x) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (/ (* x (- (* (* y y) x) x)) (- (* y x) x)) (- (* (* y y) x) x) (* x (exp y)) (* x (- (* (* y y) x) x)) (+ (* (* (* (* y y) x) (* y y)) (+ (* 1/6 (* y y)) 1/2)) (* (+ (* y y) 1) x)) (* x (exp (* y y))) (* (* y y) x) (+ (* (+ (* (* y y) (+ (* 1/6 (* y y)) 1/2)) 1) (* (* y y) x)) x) (+ (* 1/6 y) 1/2) (* (+ (* y y) 1) x) (* (* (* y y) x) (* y y)))

simplify163.0ms (0.8%)

Memory

19.6MiB live, 217.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	173	621
1	572	619
2	1699	599
3	4224	573
0	8096	508

Stop Event

1×	iter limit
1×	node limit

Counts

66 → 65

Calls

Call 1

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

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

rewrite306.0ms (1.4%)

Memory

-4.3MiB live, 238.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	275
0	64	273
1	245	241
2	1976	241
0	8647	239

Stop Event

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

Counts

23 → 656

Calls

Call 1

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

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

eval306.0ms (1.4%)

Memory: -14.9MiB live, 175.4MiB allocated
Compiler: Compiled 35 827 to 3 214 computations (91% saved)

prune36.0ms (0.2%)

Memory

23.0MiB live, 62.5MiB allocated

Pruning

21 alts after pruning (13 fresh and 8 done)

	Pruned	Kept	Total
New	781	12	793
Fresh	0	1	1
Picked	4	1	5
Done	0	7	7
Total	785	21	806

Accuracy

100.0%

Counts

806 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	98.4%	(*.f64 x (exp.f64 y))
✓	51.2%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
	85.0%	(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
	39.2%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
	38.7%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))))
	91.0%	#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 (.f64 y y) (.f64 #s(literal 1/6 binary64) y)) y (fma.f64 (.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) (.f64 (.f64 y y) x) x))
	91.0%	#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ ( 1/6 (* y y)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 y y))) #s(literal 1 binary64)) (.f64 (.f64 y y) x) x))
	85.9%	#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 y y) x) x))
	92.1%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) y) (.f64 y x) x))
	93.3%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) y) y) x x))
	91.0%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) x) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 (fma.f64 y y #s(literal 1 binary64)) x)))
✓	73.1%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
	93.2%	#s(approx (* x (exp (* y y))) (fma.f64 x (.f64 (.f64 y y) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y) y)) (.f64 (fma.f64 y y #s(literal 1 binary64)) x)))
✓	79.3%	#s(approx (* x (exp (* y y))) (+.f64 (.f64 (.f64 y y) x) x))
	93.2%	#s(approx (* x (exp (* y y))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) x))
✓	32.4%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x)))
✓	26.2%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y x) y)))
	80.2%	#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
✓	62.1%	#s(approx (* x (exp y)) (fma.f64 y x x))
	22.3%	#s(approx (* x (exp y)) (/.f64 #s(approx (* x (- (* (* y y) x) x)) (.f64 (.f64 (.f64 y y) x) x)) (-.f64 (.f64 y x) x)))

Compiler

Compiled 999 to 399 computations (60.1% saved)

regimes86.0ms (0.4%)

Memory

-8.8MiB live, 76.3MiB allocated

Counts

27 → 1

Calls

Call 1

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

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

Calls

5 calls:

40.0ms	x
23.0ms	(*.f64 y y)
8.0ms	y
8.0ms	(.f64 x (exp.f64 (.f64 y y)))
6.0ms	(exp.f64 (*.f64 y y))

Results

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

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes50.0ms (0.2%)

Memory

9.3MiB live, 47.0MiB allocated

Counts

25 → 1

Calls

Call 1

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

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

Calls

5 calls:

19.0ms	(exp.f64 (*.f64 y y))
8.0ms	x
8.0ms	y
7.0ms	(.f64 x (exp.f64 (.f64 y y)))
7.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`y`
98.4%	1	`(.f64 x (exp.f64 (.f64 y y)))`
98.4%	1	`(exp.f64 (*.f64 y y))`
98.4%	1	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes47.0ms (0.2%)

Memory

-2.0MiB live, 70.6MiB allocated

Counts

24 → 1

Calls

Call 1

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

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

Calls

5 calls:

13.0ms	(*.f64 y y)
13.0ms	y
7.0ms	x
7.0ms	(.f64 x (exp.f64 (.f64 y y)))
6.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
93.3%	1	`x`
93.3%	1	`y`
93.3%	1	`(.f64 x (exp.f64 (.f64 y y)))`
93.3%	1	`(exp.f64 (*.f64 y y))`
93.3%	1	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes39.0ms (0.2%)

Memory

-24.8MiB live, 56.5MiB allocated

Counts

17 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

13.0ms	(.f64 x (exp.f64 (.f64 y y)))
6.0ms	x
6.0ms	y
5.0ms	(*.f64 y y)
4.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
93.2%	1	`y`
93.2%	1	`(*.f64 y y)`
93.2%	1	`x`
93.2%	1	`(.f64 x (exp.f64 (.f64 y y)))`
93.2%	1	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes29.0ms (0.1%)

Memory

20.4MiB live, 59.7MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	(*.f64 y y)
6.0ms	x
5.0ms	y
5.0ms	(.f64 x (exp.f64 (.f64 y y)))
4.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
91.0%	1	`y`
91.0%	1	`(*.f64 y y)`
91.0%	1	`x`
91.0%	1	`(.f64 x (exp.f64 (.f64 y y)))`
91.0%	1	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes26.0ms (0.1%)

Memory

17.8MiB live, 57.0MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

7.0ms	(.f64 x (exp.f64 (.f64 y y)))
5.0ms	x
5.0ms	y
5.0ms	(*.f64 y y)
4.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
87.7%	2	`y`
87.7%	2	`(*.f64 y y)`
85.9%	1	`x`
85.9%	1	`(.f64 x (exp.f64 (.f64 y y)))`
85.9%	1	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes25.0ms (0.1%)

Memory

-26.2MiB live, 57.5MiB allocated

Counts

12 → 1

Calls

Call 1

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

Calls

5 calls:

7.0ms	(*.f64 y y)
4.0ms	(exp.f64 (*.f64 y y))
4.0ms	x
4.0ms	y
4.0ms	(.f64 x (exp.f64 (.f64 y y)))

Results

Accuracy	Segments	Branch
85.0%	1	`(.f64 x (exp.f64 (.f64 y y)))`
85.0%	1	`(exp.f64 (*.f64 y y))`
85.0%	1	`x`
85.0%	1	`y`
85.0%	1	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes18.0ms (0.1%)

Memory

22.4MiB live, 61.9MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
79.3%	1	`x`
85.7%	2	`(.f64 x (exp.f64 (.f64 y y)))`
85.7%	2	`(exp.f64 (*.f64 y y))`
85.7%	2	`y`
85.7%	2	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes13.0ms (0.1%)

Memory

-1.7MiB live, 37.9MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

4.0ms	(*.f64 y y)
3.0ms	y
3.0ms	(.f64 x (exp.f64 (.f64 y y)))
2.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
85.7%	2	`(.f64 x (exp.f64 (.f64 y y)))`
85.7%	2	`(exp.f64 (*.f64 y y))`
85.7%	2	`y`
85.7%	2	`(*.f64 y y)`

Compiler

Compiled 14 to 14 computations (0% saved)

regimes15.0ms (0.1%)

Memory

-0.5MiB live, 41.4MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	(*.f64 y y)
3.0ms	y
3.0ms	x
3.0ms	(.f64 x (exp.f64 (.f64 y y)))
2.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
79.3%	1	`x`
79.3%	1	`(.f64 x (exp.f64 (.f64 y y)))`
79.3%	1	`(exp.f64 (*.f64 y y))`
79.3%	1	`y`
79.3%	1	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes13.0ms (0.1%)

Memory

-15.0MiB live, 24.5MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
79.3%	2	`y`
79.3%	2	`(*.f64 y y)`
73.1%	1	`x`
79.3%	2	`(.f64 x (exp.f64 (.f64 y y)))`
79.3%	2	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes8.0ms (0%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
79.2%	2	`(.f64 x (exp.f64 (.f64 y y)))`
79.2%	2	`(exp.f64 (*.f64 y y))`
79.2%	2	`y`
79.2%	2	`(*.f64 y y)`

Compiler

Compiled 14 to 14 computations (0% saved)

regimes16.0ms (0.1%)

Memory

-20.7MiB live, 18.8MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	(.f64 x (exp.f64 (.f64 y y)))
2.0ms	y
2.0ms	x
2.0ms	(*.f64 y y)
1.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
62.1%	1	`x`
73.0%	2	`y`
73.0%	2	`(*.f64 y y)`
73.0%	2	`(.f64 x (exp.f64 (.f64 y y)))`
73.0%	2	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes8.0ms (0%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
62.1%	1	`x`
62.1%	1	`y`
62.1%	1	`(*.f64 y y)`
62.1%	1	`(.f64 x (exp.f64 (.f64 y y)))`
62.1%	1	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes10.0ms (0%)

Memory

-27.6MiB live, 11.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	(.f64 x (exp.f64 (.f64 y y)))
1.0ms	y
1.0ms	x
1.0ms	(*.f64 y y)
1.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
51.2%	1	`(.f64 x (exp.f64 (.f64 y y)))`
51.2%	1	`(exp.f64 (*.f64 y y))`
51.2%	1	`x`
51.2%	1	`y`
51.2%	1	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.667820507228667e+205	3.429785843267219e+207

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.8907033636371653e-6	9243.453145884023

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.8907033636371653e-6	9243.453145884023

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.7633368489178252e+90	1.536252960907445e+92

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.000001890705151	+inf

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.000001890705151	+inf

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify42.0ms (0.2%)

Memory

-13.6MiB live, 41.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	405
1	105	405

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (exp.f64 y))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) y) y) x x))
#s(approx (* x (exp (* y y))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ ( 1/6 (* y y)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 y y))) #s(literal 1 binary64)) (.f64 (.f64 y y) x) x))
(if (<=.f64 (.f64 y y) #s(literal 100000000000000003889357755108838843130737249295202013334302382007691294289384896763079965607877701387326460311941213291353170611409437561654018367221268940354434586262616943544566455807655946219322240663552 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 y y) x) x)) (.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y))))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(if (<=.f64 (.f64 y y) #s(literal 4722366482869645/2361183241434822606848 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)))))
(if (<=.f64 (.f64 y y) #s(literal 4722366482869645/2361183241434822606848 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y))))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(if (<=.f64 (.f64 y y) #s(literal 1999999999999999932968225430927800099650372185240251005959349194618359510874758461373022208 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) #s(approx ( x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x))))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x))))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y x) y))))
#s(approx (* x (exp y)) (fma.f64 y x x))
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))

Outputs
(.f64 x (exp.f64 (.f64 y y)))
(.f64 (exp.f64 (.f64 y y)) x)
(*.f64 x (exp.f64 y))
(*.f64 (exp.f64 y) x)
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) y) y) x x))
#s(approx (* x (exp (* y y))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ ( 1/6 (* y y)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 y y))) #s(literal 1 binary64)) (.f64 (.f64 y y) x) x))
(if (<=.f64 (.f64 y y) #s(literal 100000000000000003889357755108838843130737249295202013334302382007691294289384896763079965607877701387326460311941213291353170611409437561654018367221268940354434586262616943544566455807655946219322240663552 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 y y) x) x)) (.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y))))))
(if (<=.f64 (.f64 y y) #s(literal 100000000000000003889357755108838843130737249295202013334302382007691294289384896763079965607877701387326460311941213291353170611409437561654018367221268940354434586262616943544566455807655946219322240663552 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 y y) x) x)) (.f64 #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))) x))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
(if (<=.f64 (.f64 y y) #s(literal 4722366482869645/2361183241434822606848 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)))))
(if (<=.f64 (.f64 y y) #s(literal 4722366482869645/2361183241434822606848 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))) x))
(if (<=.f64 (.f64 y y) #s(literal 4722366482869645/2361183241434822606848 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y))))))
(if (<=.f64 (.f64 y y) #s(literal 4722366482869645/2361183241434822606848 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(if (<=.f64 (.f64 y y) #s(literal 1999999999999999932968225430927800099650372185240251005959349194618359510874758461373022208 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) #s(approx ( x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x))))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x))))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) (.f64 #s(approx (exp (* y y)) #s(literal 1 binary64)) x) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x))))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y x) y))))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) (.f64 #s(approx (exp (* y y)) #s(literal 1 binary64)) x) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y x) y))))
#s(approx (* x (exp y)) (fma.f64 y x x))
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
(.f64 #s(approx (exp ( y y)) #s(literal 1 binary64)) x)

soundness2.3s (10.7%)

Memory

54.4MiB live, 1 101.5MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	142
0	47	138
1	162	138
2	1001	137
0	9023	136
0	13	42
0	19	42
1	46	42
2	205	42
3	1791	42
0	8578	42
0	37	275
0	64	273
1	245	241
2	1976	241
0	8647	239
0	33	97
1	95	97
2	276	91
3	750	89
4	989	89
5	1161	89
6	1318	89
7	1436	89
8	1436	87
9	1767	87
10	1800	87
11	1801	87
12	1823	87
0	1823	75
0	173	621
1	572	619
2	1699	599
3	4224	573
0	8096	508
0	69	169
1	207	169
2	519	165
3	1249	163
4	2470	163
5	7664	163
0	8049	142
0	67	187
1	208	187
2	527	179
3	1311	177
4	2236	177
5	6542	177
0	8125	151
0	5	13
0	8	13
1	13	13
2	26	13
3	69	13
4	294	5
0	2666	5

Stop Event

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

Compiler

Compiled 697 to 314 computations (54.9% saved)

preprocess339.0ms (1.6%)

Memory

-11.0MiB live, 146.2MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 954 to 300 computations (68.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	32
1	49	32
2	99	32
3	216	32
4	362	32
5	517	32
6	603	32
7	640	32
8	674	32
9	681	32
10	685	32
11	686	32
0	5	6
0	8	6
1	11	6
0	11	6

Iter	Nodes	Cost
0	31	189
0	47	185
1	80	185
2	149	183
3	286	183
4	599	183
5	863	183
6	896	183
7	897	183
0	897	181

Iter	Nodes	Cost
0	15	32
1	49	32
2	99	32
3	216	32
4	362	32
5	517	32
6	603	32
7	640	32
8	674	32
9	681	32
10	685	32
11	686	32
0	5	6
0	8	6
1	11	6
0	11	6

Iter	Nodes	Cost
0	31	189
0	47	185
1	80	185
2	149	183
3	286	183
4	599	183
5	863	183
6	896	183
7	897	183
0	897	181

start0.0ms (0%)

analyze4.0ms (0%)

sample910.0ms (4.2%)

explain142.0ms (0.7%)

preprocess56.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize119.0ms (0.6%)

series4.0ms (0%)

simplify108.0ms (0.5%)

rewrite76.0ms (0.4%)

eval2.0ms (0%)

prune2.0ms (0%)

simplify6.0ms (0%)

localize53.0ms (0.2%)

series10.0ms (0%)

simplify14.3s (66.6%)

rewrite454.0ms (2.1%)

eval38.0ms (0.2%)

prune7.0ms (0%)

simplify39.0ms (0.2%)

localize186.0ms (0.9%)

series14.0ms (0.1%)

simplify295.0ms (1.4%)

rewrite385.0ms (1.8%)

eval77.0ms (0.4%)

prune10.0ms (0%)

simplify138.0ms (0.6%)

localize112.0ms (0.5%)

series28.0ms (0.1%)

simplify163.0ms (0.8%)

rewrite306.0ms (1.4%)

eval306.0ms (1.4%)

prune36.0ms (0.2%)

regimes86.0ms (0.4%)

regimes50.0ms (0.2%)

regimes47.0ms (0.2%)

regimes39.0ms (0.2%)

regimes29.0ms (0.1%)

regimes26.0ms (0.1%)

regimes25.0ms (0.1%)

regimes18.0ms (0.1%)

regimes13.0ms (0.1%)

regimes15.0ms (0.1%)

regimes13.0ms (0.1%)

regimes8.0ms (0%)

regimes16.0ms (0.1%)

regimes8.0ms (0%)

regimes10.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify42.0ms (0.2%)

soundness2.3s (10.7%)

preprocess339.0ms (1.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	32
1	49	32
2	99	32
3	216	32
4	362	32
5	517	32
6	603	32
7	640	32
8	674	32
9	681	32
10	685	32
11	686	32
0	5	6
0	8	6
1	11	6
0	11	6

Iter	Nodes	Cost
0	31	189
0	47	185
1	80	185
2	149	183
3	286	183
4	599	183
5	863	183
6	896	183
7	897	183
0	897	181