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

0.3MiB live, 0.3MiB 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)

sample970.0ms (4.8%)

Memory

-25.0MiB live, 780.8MiB allocated

Samples

650.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 380.0ms

ival-exp: 244.0ms (64.3% of total)

ival-mult: 126.0ms (33.2% of total)

ival-true: 6.0ms (1.6% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain90.0ms (0.4%)

Memory

19.5MiB live, 91.9MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

24.0ms

512×

valid

Compiler

Compiled 55 to 24 computations (56.4% saved)

Precisions

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

ival-mult: 7.0ms (60.3% of total)

ival-exp: 4.0ms (34.5% of total)

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

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

preprocess71.0ms (0.4%)

Memory

4.7MiB live, 41.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	32
1	49	32
2	99	32
3	217	32
4	375	32
5	530	32
6	643	32
7	680	32
8	714	32
9	721	32
10	725	32
11	726	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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0%)

Memory

2.6MiB live, 2.6MiB 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

localize16.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

11.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

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

ival-mult: 3.0ms (56.7% of total)

ival-exp: 2.0ms (37.8% of total)

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

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

series92.0ms (0.5%)

Memory

-44.4MiB live, 5.5MiB 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
88.0ms	y	@	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	@	0	((* 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)))

simplify57.0ms (0.3%)

Memory

19.4MiB live, 19.4MiB 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)

rewrite96.0ms (0.5%)

Memory

6.3MiB live, 43.4MiB 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

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: 3.9MiB live, 3.9MiB allocated
Compiler: Compiled 171 to 47 computations (72.5% saved)

prune1.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	14	3	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	3	18

Accuracy

100.0%

Counts

18 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(*.f64 x (exp.f64 y))
▶	83.6%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
▶	53.2%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify4.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(exp.f64 y)
cost-diff	0	(*.f64 x (exp.f64 y))
cost-diff	0	(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	#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	12	51
0	17	51
1	24	51
0	24	51

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)) (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)) (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

localize145.0ms (0.7%)

Memory

-28.3MiB live, 44.8MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 y)
accuracy	0.01171875	(*.f64 x (exp.f64 y))
accuracy	0.0	(fma.f64 y y #s(literal 1 binary64))
accuracy	0.0	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
accuracy	14.683731610351701	#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
accuracy	0.0	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
accuracy	30.096881919924613	#s(approx (exp (* y y)) #s(literal 1 binary64))

Samples

106.0ms

256×

valid

Compiler

Compiled 91 to 23 computations (74.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-add: 86.0ms (88.3% of total)

ival-exp: 6.0ms (6.2% of total)

ival-mult: 5.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

7 → 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)) (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))
(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)))))))
(+ 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))))))
(exp (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(exp y)

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)) (+ (* y y) 1) (* x (exp y)) (exp y))
1.0ms	x	@	-inf	((* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* x (exp y)) (exp y))
1.0ms	x	@	0	((* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* x (exp y)) (exp y))
1.0ms	y	@	inf	((* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* x (exp y)) (exp y))
1.0ms	x	@	inf	((* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* x (exp y)) (exp y))

simplify256.0ms (1.3%)

Memory

15.2MiB live, 107.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	166
1	186	166
2	470	158
3	1122	156
4	1595	156
5	2133	156
6	3050	156
7	3600	156
8	3867	156
9	4194	156
10	4884	156
11	5511	156
12	6675	156
13	7960	156
0	8028	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)))))))
(+ 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))))))
(exp (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(exp y)

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

rewrite368.0ms (1.8%)

Memory

-16.5MiB live, 176.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
0	17	44
1	39	44
2	166	44
3	1221	44
0	8453	44

Stop Event

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

Counts

7 → 308

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

eval4.7s (23.6%)

Memory: -13.7MiB live, 70.1MiB allocated
Compiler: Compiled 9 888 to 1 308 computations (86.8% saved)

prune6.0ms (0%)

Memory

17.8MiB live, 17.8MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	322	3	325
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	322	6	328

Accuracy

100.0%

Counts

328 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(*.f64 x (exp.f64 y))
✓	83.6%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
▶	34.5%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
✓	53.2%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
▶	89.2%	(*.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))))
▶	63.0%	#s(approx (* x (exp y)) (fma.f64 y x x))

Compiler

Compiled 63 to 46 computations (27% saved)

simplify11.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	113
0	32	113
1	49	113
2	67	113
3	135	113
4	267	113
5	377	113
6	398	113
0	398	110

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize9.4s (46.9%)

Memory

-19.3MiB live, 56.1MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
accuracy	14.683731610351701	#s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))
accuracy	31.76637224592857	#s(approx (+ (* y y) 1) (*.f64 y y))
accuracy	0.05859375	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
accuracy	0.06640625	(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
accuracy	0.17578125	(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy	9.476011938973327	#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy	0.0	(fma.f64 y x x)
accuracy	23.51643667862569	#s(approx (* x (exp y)) (fma.f64 y x x))

Samples

9.3s

256×

valid

Compiler

Compiled 184 to 43 computations (76.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.3s

ival-exp: 9.3s (99.8% of total)

ival-mult: 10.0ms (0.1% of total)

ival-add: 5.0ms (0.1% of total)

const: 3.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

11 → 40

Calls

Call 1

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

Outputs
(* x (exp y))
(* x (+ 1 y))
(* x (exp (pow y 2)))
(* -1 (* x (- (* -1 y) 1)))
x
(+ x (* x y))
(+ x (* y (+ x (* 1/2 (* x y)))))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
1
(+ 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))))
(+ 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 (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)))))))
(pow y 2)
1/2
(+ 1/2 (* 1/6 y))
(* x y)
(* 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 (pow y 2))
(* (pow y 2) (+ 1 (/ 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
3.0ms	y	@	-inf	((* x (exp y)) (+ (* y x) x) (* 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)) (+ (* y y) 1) (* y y) (+ (* 1/6 y) 1/2))
1.0ms	y	@	inf	((* x (exp y)) (+ (* y x) x) (* 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)) (+ (* y y) 1) (* y y) (+ (* 1/6 y) 1/2))
1.0ms	x	@	-inf	((* x (exp y)) (+ (* y x) x) (* 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)) (+ (* y y) 1) (* y y) (+ (* 1/6 y) 1/2))
1.0ms	x	@	0	((* x (exp y)) (+ (* y x) x) (* 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)) (+ (* y y) 1) (* y y) (+ (* 1/6 y) 1/2))
1.0ms	x	@	inf	((* x (exp y)) (+ (* y x) x) (* 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)) (+ (* y y) 1) (* y y) (+ (* 1/6 y) 1/2))

simplify583.0ms (2.9%)

Memory

11.5MiB live, 166.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	310
1	345	306
2	964	292
3	2796	290
4	7726	290
0	8353	243

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 39

Calls

Call 1

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

rewrite290.0ms (1.4%)

Memory

-27.8MiB live, 262.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	104
0	32	104
1	110	104
2	726	104
0	8016	101

Stop Event

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

Counts

11 → 359

Calls

Call 1

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

Outputs
#s(approx (* x (exp y)) (fma.f64 y x x))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 y x) y (neg.f64 x))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x (.f64 y x)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (-.f64 x (.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))) (+.f64 (pow.f64 (.f64 (-.f64 x (.f64 y x)) x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 x (.f64 y x)) x) (-.f64 (.f64 (-.f64 x (.f64 y x)) x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 y x) y (neg.f64 x))) (.f64 x (fma.f64 (*.f64 y x) y (neg.f64 x)))) (fma.f64 y x x))
(.f64 (.f64 x (-.f64 x (.f64 (.f64 y x) y))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y x))))
(.f64 (pow.f64 (-.f64 (.f64 y x) x) #s(literal -1 binary64)) (.f64 x (fma.f64 (.f64 y x) y (neg.f64 x))))
(.f64 (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)) (pow.f64 x #s(literal 3 binary64))))
(.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 #s(literal 1 binary64) 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 x (fma.f64 (.f64 y x) y (-.f64 x (.f64 y x)))) (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y x) y (-.f64 x (*.f64 y 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))) (pow.f64 (.f64 x (fma.f64 (.f64 y x) y (-.f64 x (*.f64 y x)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 y x x))
(.f64 (fma.f64 y x x) (/.f64 (-.f64 (.f64 y x) x) (-.f64 (*.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 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 (.f64 y x) x) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 (.f64 y x) x) #s(literal -1 binary64))) (+.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 x (fma.f64 (.f64 y x) y (-.f64 x (.f64 y x)))) #s(literal -1 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 9 binary64))) (pow.f64 (.f64 x (fma.f64 (.f64 y x) y (-.f64 x (.f64 y x)))) #s(literal -1 binary64))) (-.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 (.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 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))
(/.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 x (/.f64 x (-.f64 (.f64 y x) x))) (.f64 x (/.f64 x (-.f64 (.f64 y x) x))))) (+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (.f64 x (/.f64 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 x (/.f64 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 x (/.f64 x (-.f64 (.f64 y x) x))) (.f64 x (/.f64 x (-.f64 (.f64 y x) x))) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))))
(/.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 (fma.f64 x x (pow.f64 (.f64 y x) #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 (fma.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 4 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 x #s(literal 9 binary64)) (pow.f64 (.f64 y 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)))
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(/.f64 (.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 y (-.f64 (*.f64 #s(literal 1/36 binary64) y) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (.f64 #s(literal 1/6 binary64) y) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 y #s(literal 6 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/1728 binary64)))) (fma.f64 y (-.f64 (*.f64 #s(literal 1/36 binary64) y) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 y y))) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) y)))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 y (-.f64 (.f64 #s(literal 1/36 binary64) y) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (fma.f64 y (-.f64 (.f64 #s(literal 1/36 binary64) y) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
(/.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/16 binary64)) (.f64 (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))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 y y))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/64 binary64)) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (.f64 y y) #s(literal 1/144 binary64) #s(literal 1/16 binary64)))))
(/.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/64 binary64)) (.f64 (fma.f64 y (-.f64 (.f64 #s(literal 1/36 binary64) y) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))))
(/.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (.f64 #s(literal 1/6 binary64) y) #s(literal 9 binary64))) (.f64 (fma.f64 y (-.f64 (.f64 #s(literal 1/36 binary64) y) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/46656 binary64) (pow.f64 y #s(literal 6 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/1728 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 y (-.f64 (*.f64 #s(literal 1/36 binary64) y) #s(literal 1/12 binary64)) #s(literal 1/4 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 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 y (-.f64 (*.f64 #s(literal 1/36 binary64) y) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) y)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 y (-.f64 (*.f64 #s(literal 1/36 binary64) y) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))))
(neg.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))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (fma.f64 y (-.f64 (*.f64 #s(literal 1/36 binary64) y) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (fma.f64 #s(literal 1/12 binary64) y #s(literal 1/4 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (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)) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/36 binary64) y) (/.f64 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)))))
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) y) y) (/.f64 #s(literal 1/6 binary64) (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)))))
(fma.f64 #s(literal 1/36 binary64) (/.f64 (*.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)))))
(fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))))
(fma.f64 (.f64 #s(literal 1/6 binary64) y) (/.f64 (.f64 #s(literal 1/6 binary64) 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)))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/36 binary64) (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)))))
(fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (.f64 #s(literal 1/6 binary64) 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)))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(fma.f64 y (/.f64 (*.f64 #s(literal 1/36 binary64) 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)))))
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) y))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) y))))
(-.f64 (.f64 (.f64 #s(literal 1/36 binary64) y) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 #s(literal 1/36 binary64) y) (/.f64 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))

eval55.0ms (0.3%)

Memory: 7.0MiB live, 124.0MiB allocated
Compiler: Compiled 11 937 to 1 844 computations (84.6% saved)

prune21.0ms (0.1%)

Memory

19.4MiB live, 58.3MiB allocated

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	372	17	389
Fresh	0	0	0
Picked	1	2	3
Done	1	2	3
Total	374	21	395

Accuracy

100.0%

Counts

395 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(*.f64 x (exp.f64 y))
✓	34.5%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
✓	53.2%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
	89.2%	(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (/.f64 (.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))))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
▶	89.2%	(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64))))
	89.2%	(.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))))
	65.3%	(.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))))
	89.2%	(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) y)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 y y))))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
	89.2%	(*.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))))
▶	89.2%	(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) y #s(literal 1 binary64))))
	89.2%	(.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))))
▶	89.4%	(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64))))
▶	89.4%	(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))))
	41.0%	(.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))))
	40.4%	(.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)))))
	75.5%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
	83.3%	#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))
✓	63.0%	#s(approx (* x (exp y)) (fma.f64 y x x))
	44.1%	#s(approx (* x (exp y)) (/.f64 (.f64 x (fma.f64 (.f64 y x) y (neg.f64 x))) (-.f64 (*.f64 y x) x)))
	63.0%	#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
▶	14.8%	#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 767 to 531 computations (30.8% saved)

simplify35.0ms (0.2%)

Memory

10.5MiB live, 47.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	369
0	72	369
1	113	365
2	156	365
3	318	365
4	723	365
5	980	365
6	1141	365
7	1142	365
8	1142	365
0	1142	351

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize250.0ms (1.2%)

Memory

-21.4MiB live, 173.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.09375	(fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64))
accuracy	0.17578125	(fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))
accuracy	0.28997269311267426	(fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))
accuracy	9.476011938973327	#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy	0.01171875	(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) y #s(literal 1 binary64))))
accuracy	0.05859375	(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) y #s(literal 1 binary64))
accuracy	0.10546875	(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)))
accuracy	9.476011938973327	#s(approx (exp y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) y #s(literal 1 binary64)))
accuracy	0.10546875	(.f64 (.f64 #s(literal 1/6 binary64) y) y)
accuracy	0.3671875	(*.f64 #s(literal 1/6 binary64) y)
accuracy	9.476011938973327	#s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64)))
accuracy	32.00035224729193	#s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y))
accuracy	0.0	(*.f64 y x)
accuracy	23.51643667862569	#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
accuracy	31.405519352665312	#s(approx (+ (* y x) x) (*.f64 y x))
accuracy	0.07421875	(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)
accuracy	0.17578125	(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy	9.476011938973327	#s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64)))
accuracy	31.436461228916386	#s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y))

Samples

217.0ms

256×

valid

Compiler

Compiled 596 to 83 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 195.0ms

ival-add: 164.0ms (84% of total)

ival-mult: 21.0ms (10.8% of total)

const: 6.0ms (3.1% of total)

ival-div: 2.0ms (1% of total)

ival-exp: 2.0ms (1% of total)

exact: 1.0ms (0.5% of total)

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

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

series10.0ms (0.1%)

Memory

26.7MiB live, 26.7MiB allocated

Counts

25 → 40

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	((* 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 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 y) 1/6) (+ (* 1/2 y) 1)) (* x (exp y)) (exp y) (+ (* (+ (* (* y y) 1/6) (+ (* 1/2 y) 1)) y) 1) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/36 (* y y)) -1/4) (/ y (+ (* 1/6 y) -1/2))) 1) y) 1) (+ (* (+ (* 1/36 (* y y)) -1/4) (/ y (+ (* 1/6 y) -1/2))) 1) (+ (* 1/6 y) 1/2) (* (+ (* 1/6 y) 1/2) y) (* 1/6 y) (* (* 1/6 y) y) (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2))
3.0ms	y	@	inf	((* 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 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 y) 1/6) (+ (* 1/2 y) 1)) (* x (exp y)) (exp y) (+ (* (+ (* (* y y) 1/6) (+ (* 1/2 y) 1)) y) 1) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/36 (* y y)) -1/4) (/ y (+ (* 1/6 y) -1/2))) 1) y) 1) (+ (* (+ (* 1/36 (* y y)) -1/4) (/ y (+ (* 1/6 y) -1/2))) 1) (+ (* 1/6 y) 1/2) (* (+ (* 1/6 y) 1/2) y) (* 1/6 y) (* (* 1/6 y) y) (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2))
1.0ms	y	@	0	((* 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 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 y) 1/6) (+ (* 1/2 y) 1)) (* x (exp y)) (exp y) (+ (* (+ (* (* y y) 1/6) (+ (* 1/2 y) 1)) y) 1) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/36 (* y y)) -1/4) (/ y (+ (* 1/6 y) -1/2))) 1) y) 1) (+ (* (+ (* 1/36 (* y y)) -1/4) (/ y (+ (* 1/6 y) -1/2))) 1) (+ (* 1/6 y) 1/2) (* (+ (* 1/6 y) 1/2) y) (* 1/6 y) (* (* 1/6 y) y) (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2))
1.0ms	x	@	-inf	((* 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 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 y) 1/6) (+ (* 1/2 y) 1)) (* x (exp y)) (exp y) (+ (* (+ (* (* y y) 1/6) (+ (* 1/2 y) 1)) y) 1) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/36 (* y y)) -1/4) (/ y (+ (* 1/6 y) -1/2))) 1) y) 1) (+ (* (+ (* 1/36 (* y y)) -1/4) (/ y (+ (* 1/6 y) -1/2))) 1) (+ (* 1/6 y) 1/2) (* (+ (* 1/6 y) 1/2) y) (* 1/6 y) (* (* 1/6 y) y) (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2))
1.0ms	x	@	0	((* 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 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 y) 1/6) (+ (* 1/2 y) 1)) (* x (exp y)) (exp y) (+ (* (+ (* (* y y) 1/6) (+ (* 1/2 y) 1)) y) 1) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/36 (* y y)) -1/4) (/ y (+ (* 1/6 y) -1/2))) 1) y) 1) (+ (* (+ (* 1/36 (* y y)) -1/4) (/ y (+ (* 1/6 y) -1/2))) 1) (+ (* 1/6 y) 1/2) (* (+ (* 1/6 y) 1/2) y) (* 1/6 y) (* (* 1/6 y) y) (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2))

simplify209.0ms (1%)

Memory

-17.9MiB live, 151.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	254
1	295	254
2	818	244
3	2365	244
4	6591	244
0	8156	204

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 39

Calls

Call 1

Inputs
(* x (exp y))
(* x (+ 1 y))
(* x y)
(* -1 (* x (- (* -1 y) 1)))
x
(+ x (* x y))
(+ x (* y (+ x (* 1/2 (* x y)))))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
1
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(+ 1 (* 1/2 y))
(+ 1 (* y (+ 1/2 (* 1/6 y))))
1/2
(+ 1/2 (* 1/6 y))
(* 1/2 y)
(* y (+ 1/2 (* 1/6 y)))
(* 1/6 y)
(* 1/6 (pow y 2))
-1/4
(- (* 1/36 (pow y 2)) 1/4)
-1/2
(- (* 1/6 y) 1/2)
(exp y)
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* y (+ x (/ x y)))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* 1/36 (pow y 2))
(* (pow y 2) (- 1/36 (* 1/4 (/ 1 (pow y 2)))))
(* y (- 1/6 (* 1/2 (/ 1 y))))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6)))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (- (* 1/2 (/ 1 y)) 1/6)))

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

rewrite408.0ms (2%)

Memory

-13.9MiB live, 187.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	330
0	72	310
1	257	302
2	1985	302
0	8341	284

Stop Event

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

Counts

25 → 563

Calls

Call 1

Inputs
(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64))))
#s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #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 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))))
#s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) y #s(literal 1 binary64))))
#s(approx (exp y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) (fma.f64 #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 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64))
(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)) y)
(*.f64 #s(literal 1/6 binary64) y)
(.f64 (.f64 #s(literal 1/6 binary64) y) y)
(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 #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64))) x)
(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64))))
#s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y)) (pow.f64 (.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal -1 binary64)))))
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eval71.0ms (0.4%)

Memory: 7.6MiB live, 117.5MiB allocated
Compiler: Compiled 17 539 to 2 694 computations (84.6% saved)

prune29.0ms (0.1%)

Memory

-2.1MiB live, 82.2MiB allocated

Pruning

24 alts after pruning (17 fresh and 7 done)

	Pruned	Kept	Total
New	464	9	473
Fresh	4	8	12
Picked	2	3	5
Done	0	4	4
Total	470	24	494

Accuracy

100.0%

Counts

494 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	89.4%	(.f64 #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))) x)
✓	99.7%	(*.f64 x (exp.f64 y))
✓	34.5%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
✓	53.2%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
	89.2%	(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) y) y #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64))))
	89.2%	(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (/.f64 (.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))))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
	64.9%	(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))) #s(literal 1 binary64)) y #s(literal 1 binary64))))
	65.3%	(.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))))
	89.2%	(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ ( 1/36 (* y y)) -1/4) (.f64 #s(literal 1/36 binary64) (.f64 y y))) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64))))
	89.4%	(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (fma.f64 y #s(literal 1/2 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))) y #s(literal 1 binary64))))
	89.4%	(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) y) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) y #s(literal 1 binary64))))
✓	89.4%	(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64))))
	89.4%	(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) y)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 y y))))) y)) y #s(literal 1 binary64))))
✓	89.4%	(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))))
	89.4%	(.f64 x #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))))))
	41.0%	(.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))))
	40.4%	(.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)))))
	75.5%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
	83.3%	#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) x) y x))
	83.3%	#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))
✓	63.0%	#s(approx (* x (exp y)) (fma.f64 y x x))
	44.1%	#s(approx (* x (exp y)) (/.f64 (.f64 x (fma.f64 (.f64 y x) y (neg.f64 x))) (-.f64 (*.f64 y x) x)))
	63.0%	#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
✓	14.8%	#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 1 191 to 552 computations (53.7% saved)

regimes60.0ms (0.3%)

Memory

-18.1MiB live, 111.4MiB allocated

Counts

33 → 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))
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
(.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 (.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))))
(.f64 #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))) x)
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) 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 y x) 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) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (fma.f64 y #s(literal 1/2 binary64) (.f64 (.f64 y 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 x #s(approx (exp y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) 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)))
(.f64 x #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) y) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ ( 1/36 (* y y)) -1/4) (.f64 #s(literal 1/36 binary64) (.f64 y y))) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #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 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) y) y #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) y)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 y y))))) y)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) y)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 y y))))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (/.f64 (.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))))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))) #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 (exp.f64 (.f64 y y)))

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

Calls

5 calls:

21.0ms	x
11.0ms	(*.f64 y y)
10.0ms	(.f64 x (exp.f64 (.f64 y y)))
9.0ms	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)

regimes51.0ms (0.3%)

Memory

-0.2MiB live, 76.7MiB 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))
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
(.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 (.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))))
(.f64 #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))) x)
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) 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 y x) 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) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (fma.f64 y #s(literal 1/2 binary64) (.f64 (.f64 y 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 x #s(approx (exp y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) 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)))
(.f64 x #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) y) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ ( 1/36 (* y y)) -1/4) (.f64 #s(literal 1/36 binary64) (.f64 y y))) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #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 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) y) y #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) y)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 y y))))) y)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) y)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 y y))))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (/.f64 (.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))))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))) #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:

14.0ms	(.f64 x (exp.f64 (.f64 y y)))
11.0ms	x
9.0ms	y
8.0ms	(*.f64 y y)
7.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`(.f64 x (exp.f64 (.f64 y y)))`
99.7%	1	`(exp.f64 (*.f64 y y))`
99.7%	1	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes45.0ms (0.2%)

Memory

32.1MiB live, 69.6MiB allocated

Counts

31 → 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))
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
(.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 (.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))))
(.f64 #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))) x)
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) 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 y x) 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) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (fma.f64 y #s(literal 1/2 binary64) (.f64 (.f64 y 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 x #s(approx (exp y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) 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)))
(.f64 x #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) y) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ ( 1/36 (* y y)) -1/4) (.f64 #s(literal 1/36 binary64) (.f64 y y))) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #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 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) y) y #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) y)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 y y))))) y)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) y)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 y y))))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (/.f64 (.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))))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))) #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
(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64))))

Calls

5 calls:

11.0ms	y
9.0ms	x
8.0ms	(.f64 x (exp.f64 (.f64 y y)))
8.0ms	(*.f64 y y)
7.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
89.4%	1	`x`
89.4%	1	`(.f64 x (exp.f64 (.f64 y y)))`
89.4%	1	`y`
89.4%	1	`(exp.f64 (*.f64 y y))`
89.4%	1	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes22.0ms (0.1%)

Memory

-9.0MiB live, 34.0MiB allocated

Counts

11 → 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))
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
(.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 (.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))))
(.f64 #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))) x)
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))

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

Calls

5 calls:

7.0ms	x
4.0ms	y
4.0ms	(.f64 x (exp.f64 (.f64 y y)))
3.0ms	(*.f64 y y)
3.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
89.4%	1	`y`
89.4%	1	`(*.f64 y y)`
89.4%	1	`(.f64 x (exp.f64 (.f64 y y)))`
89.4%	1	`(exp.f64 (*.f64 y y))`
89.4%	1	`x`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes17.0ms (0.1%)

Memory

-5.5MiB live, 33.0MiB allocated

Counts

8 → 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))
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
(.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

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

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

Calls

5 calls:

5.0ms	(.f64 x (exp.f64 (.f64 y y)))
3.0ms	x
3.0ms	y
3.0ms	(*.f64 y y)
2.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
89.5%	2	`y`
89.5%	2	`(*.f64 y y)`
89.5%	2	`(.f64 x (exp.f64 (.f64 y y)))`
89.5%	2	`(exp.f64 (*.f64 y y))`
83.6%	1	`x`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes11.0ms (0.1%)

Memory

-10.3MiB live, 28.8MiB allocated

Counts

7 → 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))
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
(.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:

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

Results

Accuracy	Segments	Branch
83.6%	1	`y`
83.6%	1	`(.f64 x (exp.f64 (.f64 y y)))`
83.6%	1	`(exp.f64 (*.f64 y y))`
83.6%	1	`(*.f64 y y)`

Compiler

Compiled 14 to 14 computations (0% saved)

regimes13.0ms (0.1%)

Memory

1.9MiB live, 41.3MiB 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))
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))

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

Calls

5 calls:

3.0ms	y
3.0ms	x
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
75.5%	1	`x`
83.6%	2	`y`
83.6%	2	`(*.f64 y y)`
83.6%	2	`(.f64 x (exp.f64 (.f64 y y)))`
83.6%	2	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes9.0ms (0%)

Memory

27.1MiB live, 27.1MiB allocated

Counts

5 → 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))
#s(approx (* x (exp y)) (+.f64 (*.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

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
83.5%	2	`(.f64 x (exp.f64 (.f64 y y)))`
83.5%	2	`(exp.f64 (*.f64 y y))`
83.5%	2	`y`
83.5%	2	`(*.f64 y y)`

Compiler

Compiled 14 to 14 computations (0% saved)

regimes11.0ms (0.1%)

Memory

-21.6MiB live, 21.2MiB allocated

Counts

4 → 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))
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
63.0%	1	`x`
63.0%	1	`y`
63.0%	1	`(*.f64 y y)`
63.0%	1	`(.f64 x (exp.f64 (.f64 y y)))`
63.0%	1	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes7.0ms (0%)

Memory

11.8MiB live, 11.8MiB 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:

1.0ms	x
1.0ms	y
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
53.2%	1	`x`
63.2%	2	`y`
63.2%	2	`(.f64 x (exp.f64 (.f64 y y)))`
63.2%	2	`(exp.f64 (*.f64 y y))`
63.2%	2	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes36.0ms (0.2%)

Memory

-28.4MiB live, 10.7MiB 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:

31.0ms	x
1.0ms	(.f64 x (exp.f64 (.f64 y y)))
1.0ms	y
1.0ms	(*.f64 y y)
1.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
14.8%	1	`x`
14.8%	1	`y`
14.8%	1	`(.f64 x (exp.f64 (.f64 y y)))`
14.8%	1	`(exp.f64 (*.f64 y y))`
14.8%	1	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000253673	+inf

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.8522236546615985e+28	9.498629981320615e+29

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000253673	+inf

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	2.536733241997717e-11	46544945.87814353

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify17.0ms (0.1%)

Memory

22.9MiB live, 22.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	232
1	81	232
2	99	232
3	167	232
4	313	232
5	415	232
6	438	232
7	438	232

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (exp.f64 y))
(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (*.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 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y))))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
(if (<=.f64 (.f64 y y) #s(literal 49999999999999995716575428608 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 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 (.f64 y y) #s(literal 7737125245533627/154742504910672534362390528 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 (exp.f64 (.f64 y y)))
(*.f64 x (exp.f64 y))
(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (*.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 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y))))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
(if (<=.f64 (.f64 y y) #s(literal 49999999999999995716575428608 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 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 (.f64 y y) #s(literal 7737125245533627/154742504910672534362390528 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)))

soundness1.4s (6.7%)

Memory

1.3MiB live, 503.7MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	61	166
1	186	166
2	470	158
3	1122	156
4	1595	156
5	2133	156
6	3050	156
7	3600	156
8	3867	156
9	4194	156
10	4884	156
11	5511	156
12	6675	156
13	7960	156
0	8028	132
0	5	13
0	8	13
1	13	13
2	26	13
3	69	13
4	294	5
0	2666	5
0	33	97
1	95	97
2	276	91
3	750	89
4	989	89
5	1161	89
6	1318	89
7	1436	89
8	1436	87
9	1767	87
10	1800	87
11	1801	87
12	1823	87
0	1823	75
0	106	310
1	345	306
2	964	292
3	2796	290
4	7726	290
0	8353	243

Stop Event

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

Compiler

Compiled 370 to 198 computations (46.5% saved)

preprocess117.0ms (0.6%)

Memory

5.8MiB live, 80.7MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 536 to 196 computations (63.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	32
1	49	32
2	99	32
3	217	32
4	375	32
5	530	32
6	643	32
7	680	32
8	714	32
9	721	32
10	725	32
11	726	32
0	5	6
0	8	6
1	11	6
0	11	6

Iter	Nodes	Cost
0	15	32
1	49	32
2	99	32
3	217	32
4	375	32
5	530	32
6	643	32
7	680	32
8	714	32
9	721	32
10	725	32
11	726	32
0	5	6
0	8	6
1	11	6
0	11	6

start0.0ms (0%)

analyze0.0ms (0%)

sample970.0ms (4.8%)

explain90.0ms (0.4%)

preprocess71.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize16.0ms (0.1%)

series92.0ms (0.5%)

simplify57.0ms (0.3%)

rewrite96.0ms (0.5%)

eval2.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize145.0ms (0.7%)

series5.0ms (0%)

simplify256.0ms (1.3%)

rewrite368.0ms (1.8%)

eval4.7s (23.6%)

prune6.0ms (0%)

simplify11.0ms (0.1%)

localize9.4s (46.9%)

series9.0ms (0%)

simplify583.0ms (2.9%)

rewrite290.0ms (1.4%)

eval55.0ms (0.3%)

prune21.0ms (0.1%)

simplify35.0ms (0.2%)

localize250.0ms (1.2%)

series10.0ms (0.1%)

simplify209.0ms (1%)

rewrite408.0ms (2%)

eval71.0ms (0.4%)

prune29.0ms (0.1%)

regimes60.0ms (0.3%)

regimes51.0ms (0.3%)

regimes45.0ms (0.2%)

regimes22.0ms (0.1%)

regimes17.0ms (0.1%)

regimes11.0ms (0.1%)

regimes13.0ms (0.1%)

regimes9.0ms (0%)

regimes11.0ms (0.1%)

regimes7.0ms (0%)

regimes36.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify17.0ms (0.1%)

soundness1.4s (6.7%)

preprocess117.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	32
1	49	32
2	99	32
3	217	32
4	375	32
5	530	32
6	643	32
7	680	32
8	714	32
9	721	32
10	725	32
11	726	32
0	5	6
0	8	6
1	11	6
0	11	6