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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample782.0ms (3.7%)

Memory

-42.1MiB live, 862.3MiB allocated

Samples

497.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 224.0ms

ival-mult: 137.0ms (61.2% of total)

ival-exp: 78.0ms (34.8% of total)

ival-true: 6.0ms (2.7% of total)

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

Bogosity

explain101.0ms (0.5%)

Memory

8.0MiB live, 122.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(exp.f64 (*.f64 y y))`
0	-	-	`y`
0	-	-	`(*.f64 y y)`
0	-	-	`(.f64 x (exp.f64 (.f64 y y)))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f64`	`(exp.f64 (*.f64 y y))`	sensitivity	1	1

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	1	254

Precision?

0.5

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 70 to 29 computations (58.6% saved)

Precisions

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

ival-mult: 7.0ms (50.5% of total)

ival-exp: 6.0ms (43.3% of total)

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

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

preprocess34.0ms (0.2%)

Memory

11.8MiB live, 11.8MiB 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

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 x (exp.f64 (.f64 y y)))

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0%)

Memory

2.3MiB live, 2.3MiB 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

localize43.0ms (0.2%)

Memory

-20.5MiB live, 23.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0.0078125	(.f64 x (exp.f64 (.f64 y y)))
accuracy	0.045264755923157075	(exp.f64 (*.f64 y y))

Samples

13.0ms

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: 3.0ms (53.4% of total)

ival-exp: 2.0ms (35.6% of total)

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

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

series4.0ms (0%)

Memory

7.1MiB live, 7.1MiB 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)))

simplify56.0ms (0.3%)

Memory

7.6MiB live, 43.4MiB 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

-18.0MiB live, 20.9MiB 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: 2.7MiB live, 2.7MiB allocated
Compiler: Compiled 171 to 47 computations (72.5% saved)

prune2.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	13	4	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	5	18

Accuracy

100.0%

Counts

18 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(.f64 x (exp.f64 (.f64 y y)))
▶	98.1%	(*.f64 x (exp.f64 y))
▶	83.3%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
▶	100.0%	(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
▶	53.3%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))

Compiler

Compiled 40 to 32 computations (20% saved)

simplify3.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	79
0	22	79
1	30	79
0	30	79

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize75.0ms (0.4%)

Memory

2.9MiB live, 38.6MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 y)
accuracy	0.01171875	(*.f64 x (exp.f64 y))
accuracy	0	(fma.f64 y y #s(literal 1 binary64))
accuracy	0.0078125	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
accuracy	13.975694507841764	#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
accuracy	0	(exp.f64 y)
accuracy	0	#s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))
accuracy	0.0078125	(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
accuracy	0.010097509768442016	(pow.f64 (exp.f64 y) y)
accuracy	0.0078125	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
accuracy	30.155722472612702	#s(approx (exp (* y y)) #s(literal 1 binary64))

Samples

66.0ms

256×

valid

Compiler

Compiled 137 to 27 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-pow: 42.0ms (74.7% of total)

ival-exp: 8.0ms (14.2% of total)

ival-mult: 5.0ms (8.9% of total)

ival-add: 1.0ms (1.8% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

10 → 20

Calls

Call 1

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

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

Calls

6 calls:

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

simplify465.0ms (2.2%)

Memory

-9.7MiB live, 147.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	166
1	186	166
2	472	158
3	1129	156
4	1606	156
5	2138	156
6	3048	156
7	3597	156
8	3852	156
9	4183	156
10	4869	156
11	5495	156
12	6671	156
13	7961	156
0	8029	132

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 19

Calls

Call 1

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

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

rewrite58.0ms (0.3%)

Memory

12.4MiB live, 12.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	68
0	22	68
1	51	68
2	197	68
0	1372	68

Stop Event

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

Counts

10 → 98

Calls

Call 1

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

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

eval62.0ms (0.3%)

Memory: -39.7MiB live, 18.6MiB allocated
Compiler: Compiled 2 364 to 472 computations (80% saved)

prune7.0ms (0%)

Memory

10.1MiB live, 10.1MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	113	6	119
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	113	11	124

Accuracy

100.0%

Counts

124 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(.f64 x (exp.f64 (.f64 y y)))
✓	98.1%	(*.f64 x (exp.f64 y))
✓	83.3%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
▶	100.0%	(.f64 x #s(approx (exp ( y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y))))
✓	100.0%	(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
▶	98.5%	(.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y)))
	100.0%	(.f64 x #s(approx (exp ( y y)) (.f64 (pow.f64 (exp.f64 y) (.f64 y #s(literal 1/4 binary64))) (.f64 (pow.f64 (exp.f64 y) (.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y))))))
▶	34.1%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
✓	53.3%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
▶	86.5%	(*.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))))
▶	64.6%	#s(approx (* x (exp y)) (fma.f64 y x x))

Compiler

Compiled 234 to 162 computations (30.8% saved)

simplify14.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	210
0	52	210
1	74	210
2	91	210
3	146	210
4	285	210
5	407	210
6	428	210
7	430	210
0	430	207

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize177.0ms (0.9%)

Memory

2.3MiB live, 75.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y))
accuracy	0.0078125	(.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y)))
accuracy	0.010097509768442016	(pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y)
accuracy	29.312416578998906	#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
accuracy	0.02734375	(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	0.0546875	(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
accuracy	0.12890625	(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy	10.57856899263371	#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 y)
accuracy	0.0078125	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
accuracy	13.975694507841764	#s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))
accuracy	32.605819450796865	#s(approx (+ (* y y) 1) (*.f64 y y))
accuracy	0	(fma.f64 y x x)
accuracy	22.5004336157099	#s(approx (* x (exp y)) (fma.f64 y x x))
accuracy	0	#s(approx (exp (* y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y)))
accuracy	0.0078125	(.f64 x #s(approx (exp ( y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y))))
accuracy	0.01171875	(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y))
accuracy	0.015625	(pow.f64 (exp.f64 y) #s(literal 2 binary64))

Samples

158.0ms

256×

valid

Compiler

Compiled 334 to 61 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 12.0ms (31.4% of total)

ival-pow: 9.0ms (23.6% of total)

ival-add: 7.0ms (18.3% of total)

ival-exp: 4.0ms (10.5% of total)

const: 4.0ms (10.5% of total)

ival-pow2: 2.0ms (5.2% of total)

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

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

exact: 0.0ms (0% of total)

series68.0ms (0.3%)

Memory

-26.1MiB live, 12.3MiB allocated

Counts

19 → 45

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
59.0ms	y	@	-inf	((* x (exp (* y y))) (exp (* y y)) (pow (pow (exp y) 2) (* 1/2 y)) (pow (exp y) 2) (* x (exp y)) (+ (* y x) x) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* y y) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (+ (* 1/6 y) 1/2))
2.0ms	y	@	0	((* x (exp (* y y))) (exp (* y y)) (pow (pow (exp y) 2) (* 1/2 y)) (pow (exp y) 2) (* x (exp y)) (+ (* y x) x) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* y y) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (+ (* 1/6 y) 1/2))
2.0ms	y	@	inf	((* x (exp (* y y))) (exp (* y y)) (pow (pow (exp y) 2) (* 1/2 y)) (pow (exp y) 2) (* x (exp y)) (+ (* y x) x) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* y y) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (+ (* 1/6 y) 1/2))
1.0ms	x	@	-inf	((* x (exp (* y y))) (exp (* y y)) (pow (pow (exp y) 2) (* 1/2 y)) (pow (exp y) 2) (* x (exp y)) (+ (* y x) x) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* y y) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (+ (* 1/6 y) 1/2))
1.0ms	x	@	inf	((* x (exp (* y y))) (exp (* y y)) (pow (pow (exp y) 2) (* 1/2 y)) (pow (exp y) 2) (* x (exp y)) (+ (* y x) x) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* y y) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (+ (* 1/6 y) 1/2))

simplify197.0ms (0.9%)

Memory

12.7MiB live, 95.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	351
1	394	347
2	1061	330
3	2996	328
4	6876	326
0	8050	273

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 44

Calls

Call 1

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

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

rewrite5.0s (23.9%)

Memory

7.1MiB live, 164.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	186
0	52	186
1	167	174
2	971	174
0	8416	171

Stop Event

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

Counts

19 → 436

Calls

Call 1

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

Outputs
(.f64 #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)) x)
(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
#s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))
(.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) y) (pow.f64 (exp.f64 y) (.f64 #s(literal 1/4 binary64) y))) (pow.f64 (exp.f64 y) (.f64 #s(literal 1/4 binary64) y)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) y) #s(literal 1 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) y) (pow.f64 (sqrt.f64 (exp.f64 y)) y))
(.f64 (pow.f64 (exp.f64 y) (.f64 #s(literal 1/4 binary64) y)) (.f64 (pow.f64 (exp.f64 y) (.f64 #s(literal 1/4 binary64) y)) (pow.f64 (sqrt.f64 (exp.f64 y)) y)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 y y))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) y) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) y))
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) y) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (exp.f64 y)) (*.f64 #s(literal 2 binary64) y))
(pow.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 y) y)
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) y) (*.f64 #s(literal 1/2 binary64) y))
(pow.f64 (pow.f64 (exp.f64 y) y) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 2 binary64) y)))
(exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) y)))
(exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 y) (.f64 #s(literal 2 binary64) y))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 y y))
(.f64 (.f64 (exp.f64 y) (sqrt.f64 (exp.f64 y))) (sqrt.f64 (exp.f64 y)))
(.f64 (sqrt.f64 (exp.f64 y)) (.f64 (sqrt.f64 (exp.f64 y)) (exp.f64 y)))
(*.f64 (exp.f64 y) (exp.f64 y))
(pow.f64 (exp.f64 #s(literal 2 binary64)) y)
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 y) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) y) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) y))
#s(approx (* x (exp y)) (fma.f64 y x x))
(.f64 (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 (.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) x) (pow.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) #s(literal -1 binary64)))
(.f64 (.f64 x (-.f64 x (.f64 (.f64 y x) y))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y x))))
(.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y x) y (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 y x) x))))
(.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (fma.f64 (.f64 y x) y (-.f64 x (*.f64 y x)))))))
(.f64 (.f64 x (fma.f64 (.f64 y x) y (neg.f64 x))) (pow.f64 (-.f64 (.f64 y x) x) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x))
(.f64 (.f64 x (fma.f64 (.f64 y x) y (-.f64 x (.f64 y x)))) (.f64 (fma.f64 y x x) (pow.f64 (.f64 x (fma.f64 (.f64 y x) y (-.f64 x (.f64 y x)))) #s(literal -1 binary64))))
(.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 x x) (-.f64 (*.f64 y y) y)))))
(.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 x (fma.f64 (.f64 y x) y (-.f64 x (*.f64 y x)))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) #s(literal -1 binary64)) x))
(*.f64 (+.f64 #s(literal 1 binary64) y) x)
(*.f64 #s(literal 1 binary64) (fma.f64 y x x))
(.f64 (fma.f64 y x x) (.f64 (-.f64 (.f64 y x) x) (pow.f64 (-.f64 (.f64 y x) x) #s(literal -1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 x (fma.f64 (.f64 y x) y (neg.f64 x))) #s(literal 1 binary64)) (-.f64 (.f64 y x) x))
(/.f64 (.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 (.f64 y x) y (-.f64 x (*.f64 y x)))))
(/.f64 (.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)))) (neg.f64 (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 x (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x))) (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y x) x)) (/.f64 (.f64 x x) (-.f64 (.f64 y x) x)))) (+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (/.f64 (.f64 x x) (-.f64 (.f64 y x) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y x) x)) (/.f64 (.f64 x x) (-.f64 (.f64 y x) x)) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 y x) x))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) x)) (neg.f64 (-.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(/.f64 (neg.f64 (.f64 x (-.f64 x (.f64 (.f64 y x) y)))) (neg.f64 (-.f64 x (.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y x) y (neg.f64 x))))) (neg.f64 (neg.f64 (-.f64 (*.f64 y x) x))))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y x) y (-.f64 x (.f64 y x)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 x x)) (-.f64 (.f64 y x) x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 x x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 y x) x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x (fma.f64 (.f64 y x) y (-.f64 x (*.f64 y x))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 x x) y) #s(literal 3 binary64))) (.f64 x (fma.f64 (.f64 y x) y (-.f64 x (*.f64 y x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (.f64 (-.f64 (.f64 y x) x) (.f64 x x))) (.f64 (-.f64 (.f64 y x) x) (-.f64 (*.f64 y x) x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) x) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/.f64 (.f64 x (-.f64 x (.f64 (.f64 y x) y))) (-.f64 x (.f64 y x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x x))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y x) y (neg.f64 x)))) (neg.f64 (-.f64 (*.f64 y x) x)))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (.f64 (.f64 x x) (-.f64 (.f64 y y) y)))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (.f64 x (fma.f64 (.f64 y x) y (-.f64 x (.f64 y x))))))
(/.f64 (.f64 x (fma.f64 (.f64 y x) y (neg.f64 x))) (-.f64 (*.f64 y x) x))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (.f64 (.f64 x x) (-.f64 (.f64 y y) y))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x (fma.f64 (.f64 y x) y (-.f64 x (.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 y x)) (.f64 x (-.f64 x (.f64 (.f64 y x) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 (.f64 x x) (-.f64 (.f64 y y) y))) (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(neg.f64 (/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y x) y (neg.f64 x)))) (-.f64 (*.f64 y x) x)))
(neg.f64 (/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 x (fma.f64 (.f64 y x) y (-.f64 x (.f64 y x))))))
(neg.f64 (/.f64 (.f64 x (fma.f64 (.f64 y x) y (neg.f64 x))) (neg.f64 (-.f64 (*.f64 y x) x))))
(neg.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (.f64 x (fma.f64 (.f64 y x) y (-.f64 x (.f64 y x)))))))
(fma.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) x))
(fma.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) (*.f64 x #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) x)
(fma.f64 (.f64 x (.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) x))
(fma.f64 (.f64 x (.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64) (*.f64 x #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64) x)
(fma.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1 binary64) x))
(fma.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) y) (*.f64 x #s(literal 1 binary64)))
(fma.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) y) x)
(fma.f64 (.f64 x #s(literal 1 binary64)) y (.f64 #s(literal 1 binary64) x))
(fma.f64 (.f64 x #s(literal 1 binary64)) y (.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 x #s(literal 1 binary64)) y x)
(fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 y x) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y x) x))))
(fma.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1 binary64) x))
(fma.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 1/2 binary64) x) (*.f64 x #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (.f64 y x) #s(literal 1 binary64) (.f64 #s(literal 1 binary64) x))
(fma.f64 (.f64 y x) #s(literal 1 binary64) (.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) (.f64 y x) (.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (.f64 y x) (.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y x))
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(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) y))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) y))))
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(+.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))

eval9.4s (45.1%)

Memory: -7.1MiB live, 116.9MiB allocated
Compiler: Compiled 11 254 to 2 043 computations (81.8% saved)

prune44.0ms (0.2%)

Memory

10.1MiB live, 48.9MiB allocated

Pruning

28 alts after pruning (18 fresh and 10 done)

	Pruned	Kept	Total
New	453	17	470
Fresh	0	1	1
Picked	0	5	5
Done	0	5	5
Total	453	28	481

Accuracy

100.0%

Counts

481 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(.f64 x (exp.f64 (.f64 y y)))
✓	98.1%	(*.f64 x (exp.f64 y))
✓	83.3%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
✓	100.0%	(.f64 x #s(approx (exp ( y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y))))
	100.0%	(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 2 binary64) y)) (.f64 #s(literal 1/2 binary64) y))))
✓	100.0%	(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
✓	98.5%	(.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y)))
▶	100.0%	(.f64 x #s(approx (exp ( y y)) (.f64 (pow.f64 (exp.f64 y) (.f64 y #s(literal 1/4 binary64))) (.f64 (pow.f64 (exp.f64 y) (.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y))))))
✓	34.1%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
✓	53.3%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
✓	86.5%	(*.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))))
▶	86.5%	(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
	61.5%	(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
	86.5%	(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
	86.5%	(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
	86.5%	(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
▶	86.5%	(.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))))
▶	86.5%	(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 y #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))) y #s(literal 1 binary64))))
	86.5%	(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y) (+.f64 #s(literal 1 binary64) y))))
	86.5%	(*.f64 x #s(approx (exp y) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))))
	86.7%	(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y #s(literal 1 binary64))))
	86.5%	(.f64 x #s(approx (exp y) (+.f64 y (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)))))
	38.4%	(.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))))
	37.8%	(.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)))))
	84.0%	#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))
✓	64.6%	#s(approx (* x (exp y)) (fma.f64 y x x))
	43.0%	#s(approx (* x (exp y)) (/.f64 (.f64 x (fma.f64 (.f64 y x) y (neg.f64 x))) (-.f64 (*.f64 y x) x)))
▶	16.4%	#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 892 to 618 computations (30.7% saved)

simplify286.0ms (1.4%)

Memory

1.3MiB live, 193.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) y #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64))
cost-diff	0	#s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
cost-diff	0	(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
cost-diff	0	(fma.f64 (fma.f64 y #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))) y #s(literal 1 binary64))
cost-diff	0	#s(approx (exp y) (fma.f64 (fma.f64 y #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))) y #s(literal 1 binary64)))
cost-diff	0	(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 y #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))) y #s(literal 1 binary64))))
cost-diff	320	(fma.f64 y #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64))
cost-diff	0	(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))
cost-diff	0	#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)))
cost-diff	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))))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (* y x) x) (*.f64 y x))
cost-diff	0	#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
cost-diff	0	#s(approx (exp (* y y)) (.f64 (pow.f64 (exp.f64 y) (.f64 y #s(literal 1/4 binary64))) (.f64 (pow.f64 (exp.f64 y) (.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y)))))
cost-diff	0	(.f64 x #s(approx (exp ( y y)) (.f64 (pow.f64 (exp.f64 y) (.f64 y #s(literal 1/4 binary64))) (.f64 (pow.f64 (exp.f64 y) (.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y))))))
cost-diff	13184	(.f64 (pow.f64 (exp.f64 y) (.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y)))
cost-diff	26752	(.f64 (pow.f64 (exp.f64 y) (.f64 y #s(literal 1/4 binary64))) (.f64 (pow.f64 (exp.f64 y) (.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	389
0	81	389
1	125	374
2	173	368
3	297	348
4	556	336
5	807	336
6	1726	336
7	2945	335
8	3657	334
9	4659	334
10	7410	334
0	8258	319

Stop Event

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

Calls

Call 1

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

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

localize330.0ms (1.6%)

Memory

3.8MiB live, 129.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.140625	(fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))
accuracy	0.2806914393777482	(fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))
accuracy	10.57856899263371	#s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy	14.903029306484601	(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))
accuracy	0.02734375	(fma.f64 (fma.f64 y #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))) y #s(literal 1 binary64))
accuracy	0.05078125	(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))
accuracy	0.296875	(*.f64 #s(literal 1/6 binary64) y)
accuracy	10.57856899263371	#s(approx (exp y) (fma.f64 (fma.f64 y #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))) y #s(literal 1 binary64)))
accuracy	0.0546875	(fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64))
accuracy	0.296875	(*.f64 #s(literal 1/6 binary64) y)
accuracy	10.57856899263371	#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)))
accuracy	32.492772873520025	#s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y))
accuracy	0	(*.f64 y x)
accuracy	22.5004336157099	#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
accuracy	32.2713605370465	#s(approx (+ (* y x) x) (*.f64 y x))
accuracy	0.00390625	(pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64)))
accuracy	0.00390625	(.f64 (pow.f64 (exp.f64 y) (.f64 y #s(literal 1/4 binary64))) (.f64 (pow.f64 (exp.f64 y) (.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y))))
accuracy	0.0078125	(pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y))
accuracy	0.0078125	(.f64 x #s(approx (exp ( y y)) (.f64 (pow.f64 (exp.f64 y) (.f64 y #s(literal 1/4 binary64))) (.f64 (pow.f64 (exp.f64 y) (.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y))))))

Samples

301.0ms

256×

valid

Compiler

Compiled 638 to 94 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 280.0ms

ival-add: 133.0ms (47.4% of total)

const: 103.0ms (36.7% of total)

ival-mult: 24.0ms (8.6% of total)

ival-pow: 15.0ms (5.3% of total)

ival-exp: 4.0ms (1.4% of total)

ival-div: 2.0ms (0.7% of total)

exact: 1.0ms (0.4% of total)

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

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

series28.0ms (0.1%)

Memory

-4.9MiB live, 31.8MiB allocated

Counts

27 → 61

Calls

Call 1

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

Outputs
(* x (exp (pow y 2)))
(* x (exp y))
(* x (+ 1 y))
(* x y)
(* -1 (* x (- (* -1 y) 1)))
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)))))))
(+ 1 (* 3/4 (pow y 2)))
(+ 1 (* (pow y 2) (+ 3/4 (* 9/32 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 3/4 (* (pow y 2) (+ 9/32 (* 9/128 (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))))))
(+ 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 (* 1/2 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/8 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 1/8 (* 1/48 (pow y 2)))))))
(+ 1 (* 1/4 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/4 (* 1/32 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/4 (* (pow y 2) (+ 1/32 (* 1/384 (pow y 2)))))))
1/2
(+ 1/2 (* 1/6 y))
(* 1/6 y)
(+ 1 (* 1/6 (pow y 2)))
-1/4
(- (* 1/36 (pow y 2)) 1/4)
-1/2
(- (* 1/6 y) 1/2)
(* (pow (exp (* 1/4 (pow y 2))) 2) (exp (* 1/2 (pow y 2))))
(* (exp (* 1/4 (pow y 2))) (exp (* 1/2 (pow y 2))))
(exp (pow y 2))
(* y (+ x (/ x y)))
(exp y)
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(exp (* 1/2 (pow y 2)))
(exp (* 1/4 (pow y 2)))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* 1/36 (pow y 2))
(* (pow y 2) (- 1/36 (* 1/4 (/ 1 (pow y 2)))))
(* y (- 1/6 (* 1/2 (/ 1 y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x 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 (- (* 1/2 (/ 1 y)) 1/6)))

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	y	@	0	((* (pow (exp y) (* y 1/4)) (* (pow (exp y) (* y 1/4)) (pow (exp y) (* 1/2 y)))) (* (pow (exp y) (* y 1/4)) (pow (exp y) (* 1/2 y))) (* x (exp (* y y))) (exp (* y y)) (* x (exp y)) (+ (* y x) x) (* y x) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* y 1/2) (+ (* (* 1/6 y) y) 1)) (* x (exp y)) (exp y) (+ (* (+ (* y 1/2) (+ (* (* 1/6 y) y) 1)) y) 1) (* x (exp y)) (exp y) (+ (* (+ (* (/ (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2)) y) 1) y) 1) (+ (* (/ (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2)) y) 1) (pow (exp y) (* 1/2 y)) (pow (exp y) (* y 1/4)) (+ (* 1/6 y) 1/2) (* 1/6 y) (+ (* (* 1/6 y) y) 1) (/ (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2)) (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2))
5.0ms	y	@	inf	((* (pow (exp y) (* y 1/4)) (* (pow (exp y) (* y 1/4)) (pow (exp y) (* 1/2 y)))) (* (pow (exp y) (* y 1/4)) (pow (exp y) (* 1/2 y))) (* x (exp (* y y))) (exp (* y y)) (* x (exp y)) (+ (* y x) x) (* y x) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* y 1/2) (+ (* (* 1/6 y) y) 1)) (* x (exp y)) (exp y) (+ (* (+ (* y 1/2) (+ (* (* 1/6 y) y) 1)) y) 1) (* x (exp y)) (exp y) (+ (* (+ (* (/ (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2)) y) 1) y) 1) (+ (* (/ (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2)) y) 1) (pow (exp y) (* 1/2 y)) (pow (exp y) (* y 1/4)) (+ (* 1/6 y) 1/2) (* 1/6 y) (+ (* (* 1/6 y) y) 1) (/ (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2)) (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2))
4.0ms	y	@	-inf	((* (pow (exp y) (* y 1/4)) (* (pow (exp y) (* y 1/4)) (pow (exp y) (* 1/2 y)))) (* (pow (exp y) (* y 1/4)) (pow (exp y) (* 1/2 y))) (* x (exp (* y y))) (exp (* y y)) (* x (exp y)) (+ (* y x) x) (* y x) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* y 1/2) (+ (* (* 1/6 y) y) 1)) (* x (exp y)) (exp y) (+ (* (+ (* y 1/2) (+ (* (* 1/6 y) y) 1)) y) 1) (* x (exp y)) (exp y) (+ (* (+ (* (/ (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2)) y) 1) y) 1) (+ (* (/ (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2)) y) 1) (pow (exp y) (* 1/2 y)) (pow (exp y) (* y 1/4)) (+ (* 1/6 y) 1/2) (* 1/6 y) (+ (* (* 1/6 y) y) 1) (/ (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2)) (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2))
1.0ms	x	@	-inf	((* (pow (exp y) (* y 1/4)) (* (pow (exp y) (* y 1/4)) (pow (exp y) (* 1/2 y)))) (* (pow (exp y) (* y 1/4)) (pow (exp y) (* 1/2 y))) (* x (exp (* y y))) (exp (* y y)) (* x (exp y)) (+ (* y x) x) (* y x) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* y 1/2) (+ (* (* 1/6 y) y) 1)) (* x (exp y)) (exp y) (+ (* (+ (* y 1/2) (+ (* (* 1/6 y) y) 1)) y) 1) (* x (exp y)) (exp y) (+ (* (+ (* (/ (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2)) y) 1) y) 1) (+ (* (/ (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2)) y) 1) (pow (exp y) (* 1/2 y)) (pow (exp y) (* y 1/4)) (+ (* 1/6 y) 1/2) (* 1/6 y) (+ (* (* 1/6 y) y) 1) (/ (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2)) (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2))
1.0ms	x	@	0	((* (pow (exp y) (* y 1/4)) (* (pow (exp y) (* y 1/4)) (pow (exp y) (* 1/2 y)))) (* (pow (exp y) (* y 1/4)) (pow (exp y) (* 1/2 y))) (* x (exp (* y y))) (exp (* y y)) (* x (exp y)) (+ (* y x) x) (* y x) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* y 1/2) (+ (* (* 1/6 y) y) 1)) (* x (exp y)) (exp y) (+ (* (+ (* y 1/2) (+ (* (* 1/6 y) y) 1)) y) 1) (* x (exp y)) (exp y) (+ (* (+ (* (/ (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2)) y) 1) y) 1) (+ (* (/ (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2)) y) 1) (pow (exp y) (* 1/2 y)) (pow (exp y) (* y 1/4)) (+ (* 1/6 y) 1/2) (* 1/6 y) (+ (* (* 1/6 y) y) 1) (/ (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2)) (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2))

simplify164.0ms (0.8%)

Memory

20.7MiB live, 176.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	497
1	520	487
2	1426	472
3	2951	472
4	6380	472
0	8727	401

Stop Event

1×	iter limit
1×	node limit

Counts

61 → 60

Calls

Call 1

Inputs
(* x (exp (pow y 2)))
(* x (exp y))
(* x (+ 1 y))
(* x y)
(* -1 (* x (- (* -1 y) 1)))
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)))))))
(+ 1 (* 3/4 (pow y 2)))
(+ 1 (* (pow y 2) (+ 3/4 (* 9/32 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 3/4 (* (pow y 2) (+ 9/32 (* 9/128 (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))))))
(+ 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 (* 1/2 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/8 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 1/8 (* 1/48 (pow y 2)))))))
(+ 1 (* 1/4 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/4 (* 1/32 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/4 (* (pow y 2) (+ 1/32 (* 1/384 (pow y 2)))))))
1/2
(+ 1/2 (* 1/6 y))
(* 1/6 y)
(+ 1 (* 1/6 (pow y 2)))
-1/4
(- (* 1/36 (pow y 2)) 1/4)
-1/2
(- (* 1/6 y) 1/2)
(* (pow (exp (* 1/4 (pow y 2))) 2) (exp (* 1/2 (pow y 2))))
(* (exp (* 1/4 (pow y 2))) (exp (* 1/2 (pow y 2))))
(exp (pow y 2))
(* y (+ x (/ x y)))
(exp y)
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(exp (* 1/2 (pow y 2)))
(exp (* 1/4 (pow y 2)))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* 1/36 (pow y 2))
(* (pow y 2) (- 1/36 (* 1/4 (/ 1 (pow y 2)))))
(* y (- 1/6 (* 1/2 (/ 1 y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x 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 (- (* 1/2 (/ 1 y)) 1/6)))

Outputs
(* x (exp (pow y 2)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (+ 1 y))
(fma.f64 x y x)
(* x y)
(*.f64 x y)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 x y x)
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 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64)))
(+ 1 (* 3/4 (pow y 2)))
(fma.f64 #s(literal 3/4 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 3/4 (* 9/32 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 9/32 binary64) (.f64 y y) #s(literal 3/4 binary64)) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 3/4 (* (pow y 2) (+ 9/32 (* 9/128 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 9/128 binary64) (.f64 y y) #s(literal 9/32 binary64)) (.f64 y y) #s(literal 3/4 binary64)) (*.f64 y y) #s(literal 1 binary64))
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 (.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (*.f64 y y) x)
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 y y) x) y) y x)
(+ x (* x y))
(fma.f64 x y 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 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 x y) x) y x)
(+ 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))
(+ 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 (* 1/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/8 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 1/8 (* 1/48 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 y y) #s(literal 1/8 binary64)) (.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* 1/4 (pow y 2)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/4 (* 1/32 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/32 binary64) (.f64 y y) #s(literal 1/4 binary64)) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/4 (* (pow y 2) (+ 1/32 (* 1/384 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 y y) #s(literal 1/32 binary64)) (.f64 y y) #s(literal 1/4 binary64)) (*.f64 y y) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 y))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
-1/4
#s(literal -1/4 binary64)
(- (* 1/36 (pow y 2)) 1/4)
(fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 y) 1/2)
(fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))
(* (pow (exp (* 1/4 (pow y 2))) 2) (exp (* 1/2 (pow y 2))))
(pow.f64 (exp.f64 y) y)
(* (exp (* 1/4 (pow y 2))) (exp (* 1/2 (pow y 2))))
(pow.f64 (pow.f64 (exp.f64 y) y) #s(literal 3/4 binary64))
(exp (pow y 2))
(pow.f64 (exp.f64 y) y)
(* y (+ x (/ x y)))
(fma.f64 x y x)
(exp y)
(exp.f64 y)
(* 1/6 (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(* 1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/6 binary64))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(exp (* 1/2 (pow y 2)))
(sqrt.f64 (pow.f64 (exp.f64 y) y))
(exp (* 1/4 (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) #s(literal 1/4 binary64))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(* 1/36 (pow y 2))
(.f64 #s(literal 1/36 binary64) (.f64 y y))
(* (pow y 2) (- 1/36 (* 1/4 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))
(* y (- 1/6 (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 x y x)
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- (* 1/2 (/ 1 y)) 1/6)))
(fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))

rewrite520.0ms (2.5%)

Memory

-18.6MiB live, 454.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	353
0	81	321
1	283	281
2	2001	263
0	8171	247

Stop Event

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

Counts

27 → 660

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (exp.f64 y) (fma.f64 y #s(literal 3/4 binary64) (.f64 y #s(literal 1/8 binary64)))) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64))))
(.f64 (pow.f64 (exp.f64 y) (.f64 y #s(literal 1/8 binary64))) (pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64)))))
(.f64 (pow.f64 (exp.f64 y) (.f64 y #s(literal 3/4 binary64))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 y y)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) y) (pow.f64 (sqrt.f64 (exp.f64 y)) y))
(.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 y y)) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 3/4 binary64))))
(pow.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) y) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) y)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (sqrt.f64 (exp.f64 y)) (sqrt.f64 (exp.f64 y))) y)
(pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) y))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) y)))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) y (*.f64 #s(literal 1/4 binary64) y)))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (exp.f64 y)) (+.f64 y y))
(pow.f64 (exp.f64 y) (fma.f64 y #s(literal 3/4 binary64) (.f64 #s(literal 2 binary64) (.f64 y #s(literal 1/8 binary64)))))
(pow.f64 (exp.f64 y) (fma.f64 y #s(literal 3/4 binary64) (fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 1/8 binary64)))))
(pow.f64 (exp.f64 y) (fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) y) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) y))))
(pow.f64 (exp.f64 y) (+.f64 (fma.f64 #s(literal 1/4 binary64) y (.f64 #s(literal 1/4 binary64) y)) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) y))))
(pow.f64 (exp.f64 y) (fma.f64 #s(literal 1/2 binary64) y (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) y))))
(pow.f64 (exp.f64 y) (fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) y) (fma.f64 #s(literal 1/4 binary64) y (.f64 #s(literal 1/4 binary64) y))))
(pow.f64 (exp.f64 y) (+.f64 (fma.f64 #s(literal 1/4 binary64) y (.f64 #s(literal 1/4 binary64) y)) (fma.f64 #s(literal 1/4 binary64) y (.f64 #s(literal 1/4 binary64) y))))
(pow.f64 (exp.f64 y) (fma.f64 #s(literal 1/2 binary64) y (fma.f64 #s(literal 1/4 binary64) y (*.f64 #s(literal 1/4 binary64) y))))
(pow.f64 (exp.f64 y) (fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) y) (.f64 #s(literal 1/2 binary64) y)))
(pow.f64 (exp.f64 y) (+.f64 (fma.f64 #s(literal 1/4 binary64) y (.f64 #s(literal 1/4 binary64) y)) (.f64 #s(literal 1/2 binary64) y)))
(pow.f64 (exp.f64 y) (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 1/2 binary64) y)))
(pow.f64 (exp.f64 y) (fma.f64 #s(literal 2 binary64) (.f64 y #s(literal 1/8 binary64)) (.f64 y #s(literal 3/4 binary64))))
(pow.f64 (exp.f64 y) (+.f64 (fma.f64 y #s(literal 1/8 binary64) (.f64 y #s(literal 1/8 binary64))) (.f64 y #s(literal 3/4 binary64))))
(pow.f64 (exp.f64 y) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64))))
(pow.f64 (exp.f64 y) (fma.f64 y #s(literal 3/4 binary64) (*.f64 #s(literal 1/4 binary64) y)))
(pow.f64 (exp.f64 y) (fma.f64 #s(literal 1/4 binary64) y (*.f64 y #s(literal 3/4 binary64))))
(pow.f64 (exp.f64 y) y)
(pow.f64 (pow.f64 (exp.f64 y) y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) y) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 y y)) #s(literal 4 binary64))
(exp.f64 (+.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) y (.f64 (.f64 y y) #s(literal 1/4 binary64))) (.f64 (*.f64 y y) #s(literal 1/4 binary64))))
(exp.f64 (+.f64 (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) y) y)) (.f64 (*.f64 y y) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 y (.f64 y #s(literal 3/4 binary64)) (.f64 (*.f64 y y) #s(literal 1/4 binary64))))
(exp.f64 (+.f64 (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/4 binary64))) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/4 binary64)))))
(exp.f64 (+.f64 (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/4 binary64))) (.f64 (*.f64 #s(literal 1/2 binary64) y) y)))
(exp.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) y (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/4 binary64)))))
(exp.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) y (.f64 (*.f64 #s(literal 1/2 binary64) y) y)))
(exp.f64 (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) y) y (.f64 (.f64 y y) #s(literal 1/4 binary64)))))
(exp.f64 (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) y) y))))
(exp.f64 (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 y (*.f64 y #s(literal 3/4 binary64)))))
(exp.f64 (.f64 y (fma.f64 y #s(literal 3/4 binary64) (.f64 #s(literal 1/4 binary64) y))))
(exp.f64 (.f64 y (fma.f64 #s(literal 1/4 binary64) y (.f64 y #s(literal 3/4 binary64)))))
(exp.f64 (*.f64 y y))
(.f64 (pow.f64 (exp.f64 y) (fma.f64 #s(literal 1/2 binary64) y (.f64 y #s(literal 1/8 binary64)))) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64))))
(.f64 (pow.f64 (pow.f64 (exp.f64 y) (.f64 y #s(literal 1/8 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64))) #s(literal 3 binary64)))
(.f64 (pow.f64 (exp.f64 y) (/.f64 (.f64 y #s(literal 3/4 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 y) (/.f64 (*.f64 y #s(literal 3/4 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 (exp.f64 y) (.f64 y #s(literal 1/8 binary64))) (pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) y))))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) y) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 y y)))
(.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 y y)) (pow.f64 (sqrt.f64 (exp.f64 y)) y))
(pow.f64 (*.f64 (sqrt.f64 (exp.f64 y)) (pow.f64 (exp.f64 y) #s(literal 1/4 binary64))) y)
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(pow.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) y) (pow.f64 (exp.f64 y) y)) #s(literal 1/4 binary64))
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(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 (.f64 y y) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 y #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 y #s(literal -1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) (*.f64 y #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 (.f64 y y) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 y #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 y #s(literal -1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))
(fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) y))) (/.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) y))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/36 binary64) y) y (+.f64 #s(literal 1/4 binary64) (.f64 y #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 #s(literal 1/36 binary64) y) y (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) y) #s(literal 4 binary64)) (fma.f64 (.f64 y y) #s(literal 1/36 binary64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))))
(-.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))))
(-.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))
(+.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal -1/2 binary64))

eval103.0ms (0.5%)

Memory: 29.9MiB live, 186.9MiB allocated
Compiler: Compiled 19 565 to 3 337 computations (82.9% saved)

prune27.0ms (0.1%)

Memory

-16.0MiB live, 66.9MiB allocated

Pruning

23 alts after pruning (11 fresh and 12 done)

	Pruned	Kept	Total
New	615	4	619
Fresh	6	7	13
Picked	2	3	5
Done	1	9	10
Total	624	23	647

Accuracy

100.0%

Counts

647 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(.f64 x (exp.f64 (.f64 y y)))
✓	98.1%	(*.f64 x (exp.f64 y))
✓	83.3%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
✓	100.0%	(.f64 x #s(approx (exp ( y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y))))
	100.0%	(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 2 binary64) y)) (.f64 #s(literal 1/2 binary64) y))))
✓	100.0%	(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
✓	98.5%	(.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y)))
✓	100.0%	(.f64 x #s(approx (exp ( y y)) (.f64 (pow.f64 (exp.f64 y) (.f64 y #s(literal 1/4 binary64))) (.f64 (pow.f64 (exp.f64 y) (.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y))))))
✓	34.1%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
✓	53.3%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
✓	86.5%	(.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))))
	86.5%	(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y) (+.f64 #s(literal 1 binary64) y))))
	86.7%	(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y #s(literal 1 binary64))))
	86.5%	(.f64 x #s(approx (exp y) (+.f64 y (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)))))
	38.4%	(.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))))
	37.8%	(.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)))))
	92.0%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 y y) x) y) y x))
	87.6%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (*.f64 y y) x))
	84.0%	#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 x y) x) y x))
	84.0%	#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))
✓	64.6%	#s(approx (* x (exp y)) (fma.f64 y x x))
	43.0%	#s(approx (* x (exp y)) (/.f64 (.f64 x (fma.f64 (.f64 y x) y (neg.f64 x))) (-.f64 (*.f64 y x) x)))
✓	16.4%	#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 966 to 443 computations (54.1% saved)

regimes98.0ms (0.5%)

Memory

7.7MiB live, 85.2MiB allocated

Counts

32 → 1

Calls

Call 1

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

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

Calls

5 calls:

42.0ms	(*.f64 y y)
29.0ms	y
9.0ms	x
9.0ms	(.f64 x (exp.f64 (.f64 y y)))
7.0ms	(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)

regimes74.0ms (0.4%)

Memory

-28.2MiB live, 100.5MiB allocated

Counts

30 → 1

Calls

Call 1

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

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

Calls

5 calls:

38.0ms	y
11.0ms	x
10.0ms	(*.f64 y 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)

regimes70.0ms (0.3%)

Memory

-9.9MiB live, 68.3MiB allocated

Counts

29 → 1

Calls

Call 1

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

Outputs
(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))

Calls

5 calls:

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

regimes43.0ms (0.2%)

Memory

34.1MiB live, 75.2MiB allocated

Counts

28 → 1

Calls

Call 1

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

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

Calls

5 calls:

12.0ms	(.f64 x (exp.f64 (.f64 y y)))
8.0ms	x
8.0ms	y
7.0ms	(*.f64 y y)
6.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(.f64 x (exp.f64 (.f64 y y)))`
99.9%	1	`(exp.f64 (*.f64 y y))`
99.9%	1	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes41.0ms (0.2%)

Memory

7.4MiB live, 80.7MiB allocated

Counts

27 → 1

Calls

Call 1

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

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

Calls

5 calls:

10.0ms	y
9.0ms	(*.f64 y y)
8.0ms	x
7.0ms	(.f64 x (exp.f64 (.f64 y y)))
6.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`y`
98.5%	1	`(.f64 x (exp.f64 (.f64 y y)))`
98.5%	1	`(exp.f64 (*.f64 y y))`
98.5%	1	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes41.0ms (0.2%)

Memory

-16.6MiB live, 67.7MiB allocated

Counts

26 → 1

Calls

Call 1

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

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

Calls

5 calls:

11.0ms	y
8.0ms	(*.f64 y y)
8.0ms	x
7.0ms	(.f64 x (exp.f64 (.f64 y y)))
6.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
98.1%	1	`x`
98.1%	1	`y`
98.1%	1	`(.f64 x (exp.f64 (.f64 y y)))`
98.1%	1	`(exp.f64 (*.f64 y y))`
98.1%	1	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes40.0ms (0.2%)

Memory

-1.4MiB live, 73.4MiB allocated

Counts

25 → 1

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	y
9.0ms	(*.f64 y y)
7.0ms	x
7.0ms	(.f64 x (exp.f64 (.f64 y y)))
5.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
92.0%	1	`x`
92.0%	1	`y`
92.0%	1	`(.f64 x (exp.f64 (.f64 y y)))`
92.0%	1	`(exp.f64 (*.f64 y y))`
92.0%	1	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes29.0ms (0.1%)

Memory

5.9MiB live, 43.7MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
87.6%	1	`(.f64 x (exp.f64 (.f64 y y)))`
87.6%	1	`(exp.f64 (*.f64 y y))`
87.6%	1	`x`
87.6%	1	`y`
87.6%	1	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes26.0ms (0.1%)

Memory

-5.4MiB live, 39.4MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
86.7%	1	`y`
86.7%	1	`(*.f64 y y)`
86.7%	1	`x`
86.7%	1	`(.f64 x (exp.f64 (.f64 y y)))`
86.7%	1	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes15.0ms (0.1%)

Memory

-13.8MiB live, 24.8MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

(*.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:

5.0ms	x
3.0ms	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
83.3%	1	`x`
87.0%	2	`y`
87.0%	2	`(.f64 x (exp.f64 (.f64 y y)))`
87.0%	2	`(exp.f64 (*.f64 y y))`
87.0%	2	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes9.0ms (0%)

Memory

17.6MiB live, 17.6MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

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
83.3%	1	`(.f64 x (exp.f64 (.f64 y y)))`
83.3%	1	`y`
83.3%	1	`(exp.f64 (*.f64 y y))`
83.3%	1	`(*.f64 y y)`

Compiler

Compiled 14 to 14 computations (0% saved)

regimes12.0ms (0.1%)

Memory

-17.1MiB live, 21.6MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	x
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
64.6%	1	`x`
83.0%	2	`(.f64 x (exp.f64 (.f64 y y)))`
83.0%	2	`(exp.f64 (*.f64 y y))`
83.0%	2	`y`
83.0%	2	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes7.0ms (0%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

3 → 1

Calls

Call 1

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

4 calls:

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

Results

Accuracy	Segments	Branch
64.6%	1	`(.f64 x (exp.f64 (.f64 y y)))`
64.6%	1	`(exp.f64 (*.f64 y y))`
64.6%	1	`y`
64.6%	1	`(*.f64 y y)`

Compiler

Compiled 14 to 14 computations (0% saved)

regimes10.0ms (0%)

Memory

-15.3MiB live, 22.5MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	y
2.0ms	x
2.0ms	(.f64 x (exp.f64 (.f64 y y)))
1.0ms	(*.f64 y y)
1.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
64.8%	2	`y`
55.3%	2	`x`
64.8%	2	`(*.f64 y y)`
64.8%	2	`(.f64 x (exp.f64 (.f64 y y)))`
64.8%	2	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes6.0ms (0%)

Memory

20.4MiB live, 20.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	y
1.0ms	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
16.4%	1	`x`
16.4%	1	`(.f64 x (exp.f64 (.f64 y y)))`
16.4%	1	`y`
16.4%	1	`(*.f64 y y)`
16.4%	1	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.236580198408362	21.755380772757924

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.2221656271450822e-7	5.236580198408362

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	1.0000002222165874	188.02599008507738

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify48.0ms (0.2%)

Memory

-19.0MiB live, 66.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	271
1	107	271

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x #s(approx (exp ( y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y))))
(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 2 binary64) y)) (.f64 #s(literal 1/2 binary64) y))))
(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
(.f64 x (exp.f64 (.f64 y y)))
(.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y)))
(*.f64 x (exp.f64 y))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 y y) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (*.f64 y y) x))
(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y #s(literal 1 binary64))))
(if (<=.f64 (.f64 y y) #s(literal 10 binary64)) (.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) (.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 y)) (fma.f64 y y #s(literal 1 binary64))))
(if (<=.f64 (.f64 y y) #s(literal 944473296573929/2361183241434822606848 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) (.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))))
#s(approx (* x (exp y)) (fma.f64 y x 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)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))

Outputs
(.f64 x #s(approx (exp ( y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y))))
(.f64 #s(approx (exp ( y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y))) x)
(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 2 binary64) y)) (.f64 #s(literal 1/2 binary64) y))))
(.f64 #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 2 binary64) y)) (.f64 #s(literal 1/2 binary64) y))) x)
(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
(.f64 #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)) x)
(.f64 x (exp.f64 (.f64 y y)))
(.f64 (exp.f64 (.f64 y y)) x)
(.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y)))
(.f64 #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y)) x)
(*.f64 x (exp.f64 y))
(*.f64 (exp.f64 y) x)
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 y y) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (*.f64 y y) x))
(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y #s(literal 1 binary64))))
(.f64 #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y #s(literal 1 binary64))) x)
(if (<=.f64 (.f64 y y) #s(literal 10 binary64)) (.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) (.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 10 binary64)) (.f64 #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) 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 y)) (fma.f64 y y #s(literal 1 binary64))))
(.f64 #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))) x)
(if (<=.f64 (.f64 y y) #s(literal 944473296573929/2361183241434822606848 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) (.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))))
(if (<=.f64 (.f64 y y) #s(literal 944473296573929/2361183241434822606848 binary64)) (.f64 #s(approx (exp (* y y)) #s(literal 1 binary64)) x) (.f64 #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))) x))
#s(approx (* x (exp y)) (fma.f64 y x 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)) #s(approx (+ (* y x) x) (*.f64 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)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))

soundness2.0s (9.5%)

Memory

35.6MiB live, 856.4MiB 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
0	33	186
0	52	186
1	167	174
2	971	174
0	8416	171
0	15	68
0	22	68
1	51	68
2	197	68
0	1372	68
0	123	351
1	394	347
2	1061	330
3	2996	328
4	6876	326
0	8050	273
0	168	497
1	520	487
2	1426	472
3	2951	472
4	6380	472
0	8727	401
0	61	166
1	186	166
2	472	158
3	1129	156
4	1606	156
5	2138	156
6	3048	156
7	3597	156
8	3852	156
9	4183	156
10	4869	156
11	5495	156
12	6671	156
13	7961	156
0	8029	132
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×	fuel
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Compiler

Compiled 475 to 263 computations (44.6% saved)

preprocess178.0ms (0.9%)

Memory

-14.5MiB live, 301.8MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 1 106 to 626 computations (43.4% 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	33	210
0	52	210
1	74	210
2	91	210
3	146	210
4	285	210
5	407	210
6	428	210
7	430	210
0	430	207

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	33	210
0	52	210
1	74	210
2	91	210
3	146	210
4	285	210
5	407	210
6	428	210
7	430	210
0	430	207

start0.0ms (0%)

analyze0.0ms (0%)

sample782.0ms (3.7%)

explain101.0ms (0.5%)

preprocess34.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize43.0ms (0.2%)

series4.0ms (0%)

simplify56.0ms (0.3%)

rewrite76.0ms (0.4%)

eval2.0ms (0%)

prune2.0ms (0%)

simplify3.0ms (0%)

localize75.0ms (0.4%)

series6.0ms (0%)

simplify465.0ms (2.2%)

rewrite58.0ms (0.3%)

eval62.0ms (0.3%)

prune7.0ms (0%)

simplify14.0ms (0.1%)

localize177.0ms (0.9%)

series68.0ms (0.3%)

simplify197.0ms (0.9%)

rewrite5.0s (23.9%)

eval9.4s (45.1%)

prune44.0ms (0.2%)

simplify286.0ms (1.4%)

localize330.0ms (1.6%)

series28.0ms (0.1%)

simplify164.0ms (0.8%)

rewrite520.0ms (2.5%)

eval103.0ms (0.5%)

prune27.0ms (0.1%)

regimes98.0ms (0.5%)

regimes74.0ms (0.4%)

regimes70.0ms (0.3%)

regimes43.0ms (0.2%)

regimes41.0ms (0.2%)

regimes41.0ms (0.2%)

regimes40.0ms (0.2%)

regimes29.0ms (0.1%)

regimes26.0ms (0.1%)

regimes15.0ms (0.1%)

regimes9.0ms (0%)

regimes12.0ms (0.1%)

regimes7.0ms (0%)

regimes10.0ms (0%)

regimes6.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify48.0ms (0.2%)

soundness2.0s (9.5%)

preprocess178.0ms (0.9%)

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	33	210
0	52	210
1	74	210
2	91	210
3	146	210
4	285	210
5	407	210
6	428	210
7	430	210
0	430	207