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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample983.0ms (3.1%)

Memory

25.1MiB live, 845.1MiB allocated

Samples

772.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 609.0ms

ival-mult: 426.0ms (69.9% of total)

ival-exp: 173.0ms (28.4% of total)

ival-true: 6.0ms (1% of total)

ival-assert: 4.0ms (0.7% of total)

Bogosity

explain71.0ms (0.2%)

Memory

9.7MiB live, 104.0MiB 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

38.0ms

512×

valid

Compiler

Compiled 55 to 24 computations (56.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 22.0ms (82.4% of total)

ival-exp: 4.0ms (15% of total)

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

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

preprocess35.0ms (0.1%)

Memory

-18.2MiB live, 21.1MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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

4.1MiB live, 4.1MiB 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

localize33.0ms (0.1%)

Memory

-7.5MiB live, 29.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0.00390625	(.f64 x (exp.f64 (.f64 y y)))
accuracy	0.00390625	(exp.f64 (*.f64 y y))

Samples

29.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-exp: 18.0ms (82.5% of total)

ival-mult: 3.0ms (13.7% of total)

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

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

series5.0ms (0%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

3 → 48

Calls

Call 1

Inputs
#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())
#s(alt (exp.f64 (.f64 y y)) (patch (exp.f64 (.f64 y y)) #<representation binary64>) () ())

Inputs

#s(alt (*.f64 x (exp.f64 (*.f64 y y))) (patch (*.f64 x (exp.f64 (*.f64 y y))) #<representation binary64>) () ())

#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())

#s(alt (exp.f64 (*.f64 y y)) (patch (exp.f64 (*.f64 y y)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 y) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))) (taylor 0 y) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (exp.f64 (.f64 y y)) (patch (exp.f64 (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (exp.f64 (.f64 y y)) (patch (exp.f64 (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) (taylor 0 y) (#s(alt (exp.f64 (.f64 y y)) (patch (exp.f64 (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) (taylor 0 y) (#s(alt (exp.f64 (.f64 y y)) (patch (exp.f64 (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf y) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf y) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf y) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf y) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (exp (pow y 2)) (taylor inf y) (#s(alt (exp.f64 (.f64 y y)) (patch (exp.f64 (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (exp (pow y 2)) (taylor inf y) (#s(alt (exp.f64 (.f64 y y)) (patch (exp.f64 (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (exp (pow y 2)) (taylor inf y) (#s(alt (exp.f64 (.f64 y y)) (patch (exp.f64 (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (exp (pow y 2)) (taylor inf y) (#s(alt (exp.f64 (.f64 y y)) (patch (exp.f64 (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf y) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf y) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf y) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf y) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (exp (pow y 2)) (taylor -inf y) (#s(alt (exp.f64 (.f64 y y)) (patch (exp.f64 (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (exp (pow y 2)) (taylor -inf y) (#s(alt (exp.f64 (.f64 y y)) (patch (exp.f64 (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (exp (pow y 2)) (taylor -inf y) (#s(alt (exp.f64 (.f64 y y)) (patch (exp.f64 (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (exp (pow y 2)) (taylor -inf y) (#s(alt (exp.f64 (.f64 y y)) (patch (exp.f64 (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x (exp.f64 (.f64 y y))) (patch (.f64 x (exp.f64 (.f64 y y))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((* x (exp (* y y))) (* y y) (exp (* y y)))
1.0ms	y	@	inf	((* x (exp (* y y))) (* y y) (exp (* y y)))
1.0ms	y	@	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 (0.2%)

Memory

17.6MiB live, 52.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	272
1	95	272
2	276	266
3	744	264
4	974	264
5	1146	264
6	1303	264
7	1421	264
8	1421	262
9	1737	262
10	1769	262
11	1770	262
12	1819	262
0	1819	250

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 47

Calls

Call 1

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

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

rewrite78.0ms (0.2%)

Memory

-39.2MiB live, 15.6MiB 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
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval5.0ms (0%)

Memory: 7.8MiB live, 7.8MiB allocated
Compiler: Compiled 383 to 44 computations (88.5% saved)

prune4.0ms (0%)

Memory

9.0MiB live, 9.0MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	49	5	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	6	55

Accuracy

100.0%

Counts

55 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
▶	98.9%	(*.f64 x (exp.f64 y))
▶	82.3%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
▶	100.0%	(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
▶	46.3%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
▶	82.3%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))

Compiler

Compiled 64 to 57 computations (10.9% saved)

simplify6.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 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	(*.f64 y y)
cost-diff	0	(fma.f64 (*.f64 y y) x x)
cost-diff	0	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
cost-diff	0	#s(approx (exp (* y y)) #s(literal 1 binary64))
cost-diff	0	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
cost-diff	0	(exp.f64 y)
cost-diff	0	(pow.f64 (exp.f64 y) y)
cost-diff	0	#s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))
cost-diff	0	(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	103
0	29	103
1	43	103
2	47	103
3	53	103
4	53	103
5	102	103
6	102	103
7	107	103
8	108	103
0	108	103

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize210.0ms (0.7%)

Memory

-11.3MiB live, 64.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 y)
accuracy	0.01171875	(*.f64 x (exp.f64 y))
accuracy	0	(fma.f64 y y #s(literal 1 binary64))
accuracy	0.00390625	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
accuracy	15.705928523044781	#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
accuracy	0	(*.f64 y y)
accuracy	5.597191912192695	(fma.f64 (*.f64 y y) x x)
accuracy	16.860394705516704	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
accuracy	0.00390625	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
accuracy	34.623748404606374	#s(approx (exp (* y y)) #s(literal 1 binary64))
accuracy	0	(pow.f64 (exp.f64 y) y)
accuracy	0	(exp.f64 y)
accuracy	0	#s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))
accuracy	0.00390625	(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))

Samples

109.0ms

256×

valid

Compiler

Compiled 149 to 30 computations (79.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 82.0ms (87.8% of total)

ival-pow: 5.0ms (5.4% of total)

ival-exp: 4.0ms (4.3% of total)

ival-add: 2.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

13 → 228

Calls

Call 1

Inputs
#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) #<representation binary64>) () ())
#s(alt #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)) (patch #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)) #<representation binary64>) () ())
#s(alt (pow.f64 (exp.f64 y) y) (patch (pow.f64 (exp.f64 y) y) #<representation binary64>) () ())
#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (exp (* y y)) #s(literal 1 binary64)) (patch #s(approx (exp (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (.f64 y y) x x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 y y) x x) (patch (fma.f64 (.f64 y y) x x) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) (patch #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 y) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))) (taylor 0 y) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)) (patch #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)) (patch #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) (taylor 0 y) (#s(alt #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)) (patch #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) (taylor 0 y) (#s(alt #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)) (patch #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (pow.f64 (exp.f64 y) y) (patch (pow.f64 (exp.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (pow.f64 (exp.f64 y) y) (patch (pow.f64 (exp.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) (taylor 0 y) (#s(alt (pow.f64 (exp.f64 y) y) (patch (pow.f64 (exp.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) (taylor 0 y) (#s(alt (pow.f64 (exp.f64 y) y) (patch (pow.f64 (exp.f64 y) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 (* 1/2 y)))) (taylor 0 y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) (taylor 0 y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))) (taylor 0 y) (#s(alt (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (exp (* y y)) #s(literal 1 binary64)) (patch #s(approx (exp (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt #s(approx (exp (* y y)) #s(literal 1 binary64)) (patch #s(approx (exp (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) (taylor 0 y) (#s(alt #s(approx (exp (* y y)) #s(literal 1 binary64)) (patch #s(approx (exp (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) (taylor 0 y) (#s(alt #s(approx (exp (* y y)) #s(literal 1 binary64)) (patch #s(approx (exp (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (.f64 y y) x x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (.f64 y y) x x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2)))))) (taylor 0 y) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (.f64 y y) x x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))) (taylor 0 y) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (.f64 y y) x x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (.f64 y y) x x) (patch (fma.f64 (.f64 y y) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (.f64 y y) x x) (patch (fma.f64 (.f64 y y) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (.f64 y y) x x) (patch (fma.f64 (.f64 y y) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (.f64 y y) x x) (patch (fma.f64 (.f64 y y) x x) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))) (taylor 0 y) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) (patch #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) (patch #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) (taylor 0 y) (#s(alt #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) (patch #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) (taylor 0 y) (#s(alt #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) (patch #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ x (* 1/2 (* x y))))) (taylor 0 y) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))))) (taylor 0 y) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf y) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf y) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf y) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf y) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (exp (pow y 2)) (taylor inf y) (#s(alt #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)) (patch #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (pow y 2)) (taylor inf y) (#s(alt #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)) (patch #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (pow y 2)) (taylor inf y) (#s(alt #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)) (patch #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (pow y 2)) (taylor inf y) (#s(alt #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)) (patch #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (pow y 2)) (taylor inf y) (#s(alt (pow.f64 (exp.f64 y) y) (patch (pow.f64 (exp.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (exp (pow y 2)) (taylor inf y) (#s(alt (pow.f64 (exp.f64 y) y) (patch (pow.f64 (exp.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (exp (pow y 2)) (taylor inf y) (#s(alt (pow.f64 (exp.f64 y) y) (patch (pow.f64 (exp.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (exp (pow y 2)) (taylor inf y) (#s(alt (pow.f64 (exp.f64 y) y) (patch (pow.f64 (exp.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (exp y) (taylor inf y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (exp y) (taylor inf y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (exp y) (taylor inf y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (exp y) (taylor inf y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
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#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor 0 x) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor 0 x) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor 0 x) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor 0 x) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (.f64 y y) x x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (.f64 y y) x x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (.f64 y y) x x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (.f64 y y) x x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (.f64 y y) x x) (patch (fma.f64 (.f64 y y) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (.f64 y y) x x) (patch (fma.f64 (.f64 y y) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (.f64 y y) x x) (patch (fma.f64 (.f64 y y) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (.f64 y y) x x) (patch (fma.f64 (.f64 y y) x x) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor inf x) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor inf x) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor inf x) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor inf x) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (.f64 y y) x x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (.f64 y y) x x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (.f64 y y) x x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (.f64 y y) x x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y y) x x) (patch (fma.f64 (.f64 y y) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y y) x x) (patch (fma.f64 (.f64 y y) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y y) x x) (patch (fma.f64 (.f64 y y) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y y) x x) (patch (fma.f64 (.f64 y y) x x) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) (patch (.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify624.0ms (2%)

Memory

11.3MiB live, 199.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	1346
1	217	1346
2	547	1320
3	1417	1312
4	3264	1312
0	8424	1223

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 222

Calls

Call 1

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

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

rewrite372.0ms (1.2%)

Memory

17.1MiB live, 172.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	90
0	29	90
1	76	90
2	362	90
3	3096	90
0	8459	90

Stop Event

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

Counts

13 → 344

Calls

Call 1

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

Outputs
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eval23.9s (75.7%)

Memory: -31.7MiB live, 132.9MiB allocated
Compiler: Compiled 8 602 to 1 416 computations (83.5% saved)

prune27.0ms (0.1%)

Memory

-3.1MiB live, 43.9MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	583	5	588
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	584	10	594

Accuracy

100.0%

Counts

594 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	98.9%	(*.f64 x (exp.f64 y))
✓	82.3%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
✓	100.0%	(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
▶	99.4%	(.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y)))
▶	40.2%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
✓	46.3%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
▶	87.7%	(*.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))))
▶	73.7%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
▶	59.0%	#s(approx (* x (exp y)) (fma.f64 y x x))

Compiler

Compiled 110 to 92 computations (16.4% saved)

simplify13.0ms (0%)

Memory

17.3MiB live, 17.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	185
0	46	185
1	69	185
2	88	185
3	157	185
4	295	185
5	419	185
6	439	185
0	439	182

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize99.0ms (0.3%)

Memory

-18.8MiB live, 57.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
accuracy	0.0703125	(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
accuracy	0.171875	(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy	10.681193676472013	#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy	0	(*.f64 y x)
accuracy	0.0625	(fma.f64 (*.f64 y x) y x)
accuracy	16.860394705516704	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
accuracy	0	(*.f64 y y)
accuracy	0.00390625	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
accuracy	15.705928523044781	#s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))
accuracy	27.562000429451714	#s(approx (+ (* y y) 1) (*.f64 y y))
accuracy	0	(fma.f64 y x x)
accuracy	25.99592554894312	#s(approx (* x (exp y)) (fma.f64 y x x))
accuracy	0	(+.f64 #s(literal 1 binary64) y)
accuracy	0	#s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y))
accuracy	0.00390625	(.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y)))
accuracy	33.77541937993437	#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))

Samples

72.0ms

256×

valid

Compiler

Compiled 243 to 49 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 12.0ms (35% of total)

ival-add: 8.0ms (23.3% of total)

ival-pow: 6.0ms (17.5% of total)

ival-exp: 4.0ms (11.7% of total)

const: 4.0ms (11.7% of total)

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

exact: 0.0ms (0% of total)

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

series60.0ms (0.2%)

Memory

-2.3MiB live, 32.3MiB allocated

Counts

19 → 324

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 y) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y))) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor 0 x) (#s(alt (.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)))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor 0 x) (#s(alt (.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)))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor 0 x) (#s(alt (.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)))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor 0 x) (#s(alt (.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)))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor inf x) (#s(alt #s(approx (* x (exp y)) (fma.f64 y x x)) (patch #s(approx (* x (exp y)) (fma.f64 y x x)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor inf x) (#s(alt #s(approx (* x (exp y)) (fma.f64 y x x)) (patch #s(approx (* x (exp y)) (fma.f64 y x x)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor inf x) (#s(alt #s(approx (* x (exp y)) (fma.f64 y x x)) (patch #s(approx (* x (exp y)) (fma.f64 y x x)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor inf x) (#s(alt #s(approx (* x (exp y)) (fma.f64 y x x)) (patch #s(approx (* x (exp y)) (fma.f64 y x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (.f64 y y)))) (patch (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (.f64 y y)))) (patch (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (.f64 y y)))) (patch (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (.f64 y y)))) (patch (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor inf x) (#s(alt (.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)))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor inf x) (#s(alt (.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)))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor inf x) (#s(alt (.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)))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor inf x) (#s(alt (.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)))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt #s(approx (* x (exp y)) (fma.f64 y x x)) (patch #s(approx (* x (exp y)) (fma.f64 y x x)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt #s(approx (* x (exp y)) (fma.f64 y x x)) (patch #s(approx (* x (exp y)) (fma.f64 y x x)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt #s(approx (* x (exp y)) (fma.f64 y x x)) (patch #s(approx (* x (exp y)) (fma.f64 y x x)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt #s(approx (* x (exp y)) (fma.f64 y x x)) (patch #s(approx (* x (exp y)) (fma.f64 y x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (.f64 y y)))) (patch (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (.f64 y y)))) (patch (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (.f64 y y)))) (patch (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (.f64 y y)))) (patch (.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt (.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)))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt (.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)))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt (.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)))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt (.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)))) (patch (.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)))) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify371.0ms (1.2%)

Memory

19.1MiB live, 295.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	1730
1	379	1718
2	1030	1696
3	3028	1690
4	6537	1690
0	9298	1540

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 315

Calls

Call 1

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

Outputs
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) x)
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) y #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) y #s(literal 1 binary64)))
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))
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 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)
x
(+ x (* x y))
(fma.f64 y x x)
(+ x (* x y))
(fma.f64 y x x)
(+ x (* x y))
(fma.f64 y x x)
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) x)
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) y #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) x)
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y 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 (*.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
#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
#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 (* 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
#s(literal 1 binary64)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 y)
(-.f64 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 (* 1/6 y))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 y))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* x (exp (pow y 2)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
(* x (exp (pow y 2)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
(* x (exp (pow y 2)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
(* x (exp (pow y 2)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
(exp (pow y 2))
(pow.f64 (exp.f64 y) y)
(exp (pow y 2))
(pow.f64 (exp.f64 y) y)
(exp (pow y 2))
(pow.f64 (exp.f64 y) y)
(exp (pow y 2))
(pow.f64 (exp.f64 y) y)
(exp (pow y 2))
(pow.f64 (exp.f64 y) y)
(exp (pow y 2))
(pow.f64 (exp.f64 y) y)
(exp (pow y 2))
(pow.f64 (exp.f64 y) y)
(exp (pow y 2))
(pow.f64 (exp.f64 y) y)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x y)
(*.f64 y x)
(* y (+ x (/ x y)))
(fma.f64 y x x)
(* y (+ x (/ x y)))
(fma.f64 y x x)
(* y (+ x (/ x y)))
(fma.f64 y x x)
(* x (exp (pow y 2)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
(* x (exp (pow y 2)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
(* x (exp (pow y 2)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
(* x (exp (pow y 2)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
(exp (pow y 2))
(pow.f64 (exp.f64 y) y)
(exp (pow y 2))
(pow.f64 (exp.f64 y) y)
(exp (pow y 2))
(pow.f64 (exp.f64 y) y)
(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))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* x (exp (pow y 2)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
(* x (exp (pow y 2)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
(* x (exp (pow y 2)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
(* x (exp (pow y 2)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(* 1/6 (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
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y
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rewrite483.0ms (1.5%)

Memory

-29.9MiB live, 308.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	171
0	46	171
1	155	171
2	981	171
0	8592	168

Stop Event

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

Counts

19 → 417

Calls

Call 1

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

Outputs
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eval174.0ms (0.5%)

Memory: 22.0MiB live, 217.8MiB allocated
Compiler: Compiled 12 036 to 2 051 computations (83% saved)

prune128.0ms (0.4%)

Memory

5.8MiB live, 88.4MiB allocated

Pruning

21 alts after pruning (12 fresh and 9 done)

	Pruned	Kept	Total
New	720	12	732
Fresh	0	0	0
Picked	1	4	5
Done	0	5	5
Total	721	21	742

Accuracy

100.0%

Counts

742 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	98.9%	(*.f64 x (exp.f64 y))
✓	82.3%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
✓	100.0%	(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
✓	99.4%	(.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y)))
✓	40.2%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
✓	46.3%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
	87.7%	(.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))))
	87.7%	(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.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))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
	87.7%	(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
	87.7%	(.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))))
	87.7%	(*.f64 x #s(approx (exp y) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)))) y #s(literal 1 binary64))))
▶	87.7%	(*.f64 x #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))))
	46.6%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
▶	46.2%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
✓	73.7%	#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))
✓	59.0%	#s(approx (* x (exp y)) (fma.f64 y x x))
▶	41.4%	#s(approx (* x (exp y)) (/.f64 (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) (-.f64 (.f64 y x) x)))
	59.0%	#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
▶	17.9%	#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 414 to 315 computations (23.9% saved)

simplify276.0ms (0.9%)

Memory

-12.8MiB live, 180.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 x (-.f64 (.f64 (*.f64 y x) y) x))
cost-diff	0	#s(approx (* x (exp y)) (/.f64 (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) (-.f64 (.f64 y x) x)))
cost-diff	128	(-.f64 (.f64 (.f64 y x) y) x)
cost-diff	1856	(/.f64 (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) (-.f64 (.f64 y x) x))
cost-diff	0	(*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x)
cost-diff	0	(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)
cost-diff	0	#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)
cost-diff	0	#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))
cost-diff	0	#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))
cost-diff	0	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
cost-diff	0	(*.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	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
cost-diff	0	#s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
cost-diff	0	(*.f64 x #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	321
0	61	309
1	102	309
2	179	309
3	389	309
4	1007	301
5	2012	289
6	3735	289
7	7208	289
0	8623	283

Stop Event

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

Calls

Call 1

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

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

localize108.0ms (0.3%)

Memory

-8.8MiB live, 238.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.10546875	(.f64 (.f64 y x) y)
accuracy	1.9433504369776067	(.f64 x (-.f64 (.f64 (*.f64 y x) y) x))
accuracy	25.99592554894312	#s(approx (* x (exp y)) (/.f64 (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) (-.f64 (.f64 y x) x)))
accuracy	29.954043760533615	(/.f64 (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) (-.f64 (.f64 y x) x))
accuracy	0.0625	(fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x)
accuracy	0.1015625	(*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))
accuracy	0.171875	(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy	10.248788723945033	#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))
accuracy	0.0703125	(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)
accuracy	0.171875	(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy	10.681193676472013	#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))
accuracy	27.577685634820618	#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))
accuracy	0	(*.f64 y x)
accuracy	25.99592554894312	#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
accuracy	27.339762969768824	#s(approx (+ (* y x) x) (*.f64 y x))
accuracy	0.0703125	(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
accuracy	0.171875	(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy	0.3370085033282272	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy	10.681193676472013	#s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))

Samples

85.0ms

256×

valid

Compiler

Compiled 487 to 60 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-add: 29.0ms (45.4% of total)

ival-mult: 20.0ms (31.3% of total)

ival-div: 5.0ms (7.8% of total)

const: 4.0ms (6.3% of total)

ival-sub: 3.0ms (4.7% of total)

ival-exp: 2.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series37.0ms (0.1%)

Memory

19.6MiB live, 97.1MiB allocated

Counts

23 → 444

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 (* 1/2 y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (.f64 x #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))) (patch (.f64 x #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (.f64 x #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))) (patch (.f64 x #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ x (* 1/2 (* x y))))) (taylor 0 y) (#s(alt (.f64 x #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))) (patch (.f64 x #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))))) (taylor 0 y) (#s(alt (.f64 x #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))) (patch (.f64 x #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) (patch #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) (patch #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 (* 1/2 y)))) (taylor 0 y) (#s(alt #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) (patch #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) (taylor 0 y) (#s(alt #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) (patch #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* 1/2 y) 1))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (.f64 y x))) (patch #s(approx ( x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (.f64 y x))) (patch #s(approx ( x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ x (* 1/2 (* x y))))) (taylor 0 y) (#s(alt #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (.f64 y x))) (patch #s(approx ( x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))))) (taylor 0 y) (#s(alt #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (.f64 y x))) (patch #s(approx ( x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (+ (* y x) x) (.f64 y x)) (patch #s(approx (+ ( y x) x) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt #s(approx (+ (* y x) x) (.f64 y x)) (patch #s(approx (+ ( y x) x) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt #s(approx (+ (* y x) x) (.f64 y x)) (patch #s(approx (+ ( y x) x) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt #s(approx (+ (* y x) x) (.f64 y x)) (patch #s(approx (+ ( y x) x) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
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#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))) (patch (.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))) (patch (.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))) (patch (.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))) (patch (.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* y (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x) (patch (fma.f64 (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* y (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x) (patch (fma.f64 (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* y (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x) (patch (fma.f64 (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* y (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x) (patch (fma.f64 (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) (patch (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) (patch (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) (patch (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) (patch (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/6 y))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) (patch (.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/6 y))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) (patch (.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/6 y))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) (patch (.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/6 y))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) (patch (.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1 (* -1 (pow y 2)))) (+ 1 (* -1 y))) (taylor -inf x) (#s(alt (/.f64 (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) (-.f64 (.f64 y x) x)) (patch (/.f64 (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) (-.f64 (.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1 (* -1 (pow y 2)))) (+ 1 (* -1 y))) (taylor -inf x) (#s(alt (/.f64 (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) (-.f64 (.f64 y x) x)) (patch (/.f64 (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) (-.f64 (.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1 (* -1 (pow y 2)))) (+ 1 (* -1 y))) (taylor -inf x) (#s(alt (/.f64 (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) (-.f64 (.f64 y x) x)) (patch (/.f64 (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) (-.f64 (.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1 (* -1 (pow y 2)))) (+ 1 (* -1 y))) (taylor -inf x) (#s(alt (/.f64 (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) (-.f64 (.f64 y x) x)) (patch (/.f64 (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) (-.f64 (.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (pow y 2))))) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 y x) y) x) (patch (-.f64 (.f64 (.f64 y x) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (pow y 2))))) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 y x) y) x) (patch (-.f64 (.f64 (.f64 y x) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (pow y 2))))) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 y x) y) x) (patch (-.f64 (.f64 (.f64 y x) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (pow y 2))))) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 y x) y) x) (patch (-.f64 (.f64 (.f64 y x) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt #s(approx (* x (exp y)) (/.f64 (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) (-.f64 (.f64 y x) x))) (patch #s(approx (* x (exp y)) (/.f64 (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) (-.f64 (.f64 y x) x))) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt #s(approx (* x (exp y)) (/.f64 (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) (-.f64 (.f64 y x) x))) (patch #s(approx (* x (exp y)) (/.f64 (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) (-.f64 (.f64 y x) x))) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt #s(approx (* x (exp y)) (/.f64 (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) (-.f64 (.f64 y x) x))) (patch #s(approx (* x (exp y)) (/.f64 (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) (-.f64 (.f64 y x) x))) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt #s(approx (* x (exp y)) (/.f64 (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) (-.f64 (.f64 y x) x))) (patch #s(approx (* x (exp y)) (/.f64 (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) (-.f64 (.f64 y x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1 (* -1 (pow y 2))))) (taylor -inf x) (#s(alt (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) (patch (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1 (* -1 (pow y 2))))) (taylor -inf x) (#s(alt (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) (patch (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1 (* -1 (pow y 2))))) (taylor -inf x) (#s(alt (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) (patch (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1 (* -1 (pow y 2))))) (taylor -inf x) (#s(alt (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) (patch (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y x) y) (patch (.f64 (.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y x) y) (patch (.f64 (.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y x) y) (patch (.f64 (.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y x) y) (patch (.f64 (.f64 y x) y) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	((/ 1 (/ 1 (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1))) (* x (exp y)) (exp y) (/ 1 (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) 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) y) (* x (exp y)) (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (* x (+ (* 1/6 y) 1/2)) (/ (* x (- (* (* y x) y) x)) (- (* y x) x)) (- (* (* y x) y) x) (* x (exp y)) (* x (- (* (* y x) y) x)) (+ (* 1/6 y) 1/2) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* (+ (* 1/6 y) 1/2) y) (* (* y x) y))
4.0ms	x	@	-inf	((/ 1 (/ 1 (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1))) (* x (exp y)) (exp y) (/ 1 (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) 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) y) (* x (exp y)) (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (* x (+ (* 1/6 y) 1/2)) (/ (* x (- (* (* y x) y) x)) (- (* y x) x)) (- (* (* y x) y) x) (* x (exp y)) (* x (- (* (* y x) y) x)) (+ (* 1/6 y) 1/2) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* (+ (* 1/6 y) 1/2) y) (* (* y x) y))
3.0ms	x	@	inf	((/ 1 (/ 1 (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1))) (* x (exp y)) (exp y) (/ 1 (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) 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) y) (* x (exp y)) (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (* x (+ (* 1/6 y) 1/2)) (/ (* x (- (* (* y x) y) x)) (- (* y x) x)) (- (* (* y x) y) x) (* x (exp y)) (* x (- (* (* y x) y) x)) (+ (* 1/6 y) 1/2) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* (+ (* 1/6 y) 1/2) y) (* (* y x) y))
3.0ms	y	@	-inf	((/ 1 (/ 1 (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1))) (* x (exp y)) (exp y) (/ 1 (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) 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) y) (* x (exp y)) (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (* x (+ (* 1/6 y) 1/2)) (/ (* x (- (* (* y x) y) x)) (- (* y x) x)) (- (* (* y x) y) x) (* x (exp y)) (* x (- (* (* y x) y) x)) (+ (* 1/6 y) 1/2) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* (+ (* 1/6 y) 1/2) y) (* (* y x) y))
3.0ms	y	@	inf	((/ 1 (/ 1 (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1))) (* x (exp y)) (exp y) (/ 1 (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) 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) y) (* x (exp y)) (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (* x (+ (* 1/6 y) 1/2)) (/ (* x (- (* (* y x) y) x)) (- (* y x) x)) (- (* (* y x) y) x) (* x (exp y)) (* x (- (* (* y x) y) x)) (+ (* 1/6 y) 1/2) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* (+ (* 1/6 y) 1/2) y) (* (* y x) y))

simplify158.0ms (0.5%)

Memory

-17.0MiB live, 261.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	207	3053
1	681	2858
2	2137	2826
3	5720	2810
0	8333	2506

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 435

Calls

Call 1

Inputs
1
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
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 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
x
(+ x (* x y))
(+ x (* y (+ x (* 1/2 (* x y)))))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
x
(+ x (* x y))
(+ x (* x y))
(+ x (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
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 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(* 1/2 (pow y 2))
(* (pow y 2) (+ 1/2 (* 1/6 y)))
(* (pow y 2) (+ 1/2 (* 1/6 y)))
(* (pow y 2) (+ 1/2 (* 1/6 y)))
x
(+ x (* x y))
(+ x (* y (+ x (* 1/2 (* x y)))))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
x
(+ x (* x y))
(+ x (* y (+ x (* 1/2 (* x y)))))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
x
(+ x (* 1/2 (* x y)))
(+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))
(+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))
(* 1/2 x)
(+ (* 1/6 (* x y)) (* 1/2 x))
(+ (* 1/6 (* x y)) (* 1/2 x))
(+ (* 1/6 (* x y)) (* 1/2 x))
x
(+ x (* x y))
(+ x (* x y))
(+ x (* x y))
(* -1 x)
(- (* x (pow y 2)) x)
(- (* x (pow y 2)) x)
(- (* x (pow y 2)) x)
x
(+ x (* x y))
(+ x (* y (+ x (* 1/2 (* x y)))))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (* (pow x 2) (pow y 2)))
(+ (* -1 (pow x 2)) (* (pow x 2) (pow y 2)))
(+ (* -1 (pow x 2)) (* (pow x 2) (pow y 2)))
1/2
(+ 1/2 (* 1/6 y))
(+ 1/2 (* 1/6 y))
(+ 1/2 (* 1/6 y))
1
(+ 1 (* 1/2 y))
(+ 1 (* y (+ 1/2 (* 1/6 y))))
(+ 1 (* y (+ 1/2 (* 1/6 y))))
(* 1/2 y)
(* y (+ 1/2 (* 1/6 y)))
(* y (+ 1/2 (* 1/6 y)))
(* y (+ 1/2 (* 1/6 y)))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(exp y)
(exp y)
(exp y)
(exp y)
(/ 6 (pow y 3))
(/ (- 6 (* 18 (/ 1 y))) (pow y 3))
(/ (- (+ 6 (/ 18 (pow y 2))) (* 18 (/ 1 y))) (pow y 3))
(/ (- (+ 6 (+ (* 18 (/ 1 (pow y 3))) (/ 18 (pow y 2)))) (* 18 (/ 1 y))) (pow y 3))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x y)
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(exp y)
(exp y)
(exp 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 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* 1/6 (* x (pow y 3)))
(* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ x y))))
(* (pow y 3) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (/ x (pow y 2)))))
(* (pow y 3) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (+ (/ x (pow y 2)) (/ x (pow y 3))))))
(* 1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ x y))))
(* (pow y 2) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (/ x (pow y 2)))))
(* (pow y 2) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (/ x (pow y 2)))))
(* 1/6 (* x y))
(* y (+ (* 1/6 x) (* 1/2 (/ x y))))
(* y (+ (* 1/6 x) (* 1/2 (/ x y))))
(* y (+ (* 1/6 x) (* 1/2 (/ x y))))
(* x y)
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
(* x (pow y 2))
(* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))
(* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))
(* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow x 2)))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow x 2)))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow x 2)))
(* 1/6 y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
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(* 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)))))
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* 1/6 (pow y 3))
(* (pow y 3) (+ 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)))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(exp y)
(exp y)
(exp y)
(exp y)
(/ 6 (pow y 3))
(* -1 (/ (- (* 18 (/ 1 y)) 6) (pow y 3)))
(* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 y)) 18) y)) 6) (pow y 3)))
(* -1 (/ (- (* -1 (/ (- (+ (* 18 (/ 1 y)) (/ 18 (pow y 2))) 18) y)) 6) (pow y 3)))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(exp y)
(exp y)
(exp y)
(exp y)
(* 1/6 (pow y 3))
(* (pow y 3) (+ 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)))
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* 1/6 (* x (pow y 3)))
(* -1 (* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 x) (/ x y)) y)) (* -1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)) (* 1/2 x)) y)) (* -1/6 x))))
(* 1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ x y))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* -1/2 x)) y)) (* 1/6 x)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* -1/2 x)) y)) (* 1/6 x)))
(* 1/6 (* x y))
(* -1 (* y (+ (* -1/2 (/ x y)) (* -1/6 x))))
(* -1 (* y (+ (* -1/2 (/ x y)) (* -1/6 x))))
(* -1 (* y (+ (* -1/2 (/ x y)) (* -1/6 x))))
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(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
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(* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow x 2)))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow x 2)))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow x 2)))
(* 1/6 y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
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(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
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(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))
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(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))
(* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))
(* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))
(* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))
(* x (+ 1 (* y (+ 1/2 (* 1/6 y)))))
(* x (+ 1 (* y (+ 1/2 (* 1/6 y)))))
(* x (+ 1 (* y (+ 1/2 (* 1/6 y)))))
(* x (+ 1 (* y (+ 1/2 (* 1/6 y)))))
(* x (+ 1/2 (* 1/6 y)))
(* x (+ 1/2 (* 1/6 y)))
(* x (+ 1/2 (* 1/6 y)))
(* x (+ 1/2 (* 1/6 y)))
(/ (* x (- (pow y 2) 1)) (- y 1))
(/ (* x (- (pow y 2) 1)) (- y 1))
(/ (* x (- (pow y 2) 1)) (- y 1))
(/ (* x (- (pow y 2) 1)) (- y 1))
(* x (- (pow y 2) 1))
(* x (- (pow y 2) 1))
(* x (- (pow y 2) 1))
(* x (- (pow y 2) 1))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* (pow x 2) (- (pow y 2) 1))
(* (pow x 2) (- (pow y 2) 1))
(* (pow x 2) (- (pow y 2) 1))
(* (pow x 2) (- (pow y 2) 1))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))
(* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))
(* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))
(* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))
(* x (+ 1 (* y (+ 1/2 (* 1/6 y)))))
(* x (+ 1 (* y (+ 1/2 (* 1/6 y)))))
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(* x (+ 1/2 (* 1/6 y)))
(* x (+ 1/2 (* 1/6 y)))
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(/ (* x (- (pow y 2) 1)) (- y 1))
(/ (* x (- (pow y 2) 1)) (- y 1))
(/ (* x (- (pow y 2) 1)) (- y 1))
(/ (* x (- (pow y 2) 1)) (- y 1))
(* x (- (pow y 2) 1))
(* x (- (pow y 2) 1))
(* x (- (pow y 2) 1))
(* x (- (pow y 2) 1))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* (pow x 2) (- (pow y 2) 1))
(* (pow x 2) (- (pow y 2) 1))
(* (pow x 2) (- (pow y 2) 1))
(* (pow x 2) (- (pow y 2) 1))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* x y)
(* x y)
(* x y)
(* x y)
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(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* -1 (* x (- (* y (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1)) 1)))
(* -1 (* x (- (* y (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1)) 1)))
(* -1 (* x (- (* y (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1)) 1)))
(* -1 (* x (- (* y (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1)) 1)))
(* -1 (* x (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1)))
(* -1 (* x (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1)))
(* -1 (* x (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1)))
(* -1 (* x (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1)))
(* x (+ 1/2 (* 1/6 y)))
(* x (+ 1/2 (* 1/6 y)))
(* x (+ 1/2 (* 1/6 y)))
(* x (+ 1/2 (* 1/6 y)))
(/ (* x (+ 1 (* -1 (pow y 2)))) (+ 1 (* -1 y)))
(/ (* x (+ 1 (* -1 (pow y 2)))) (+ 1 (* -1 y)))
(/ (* x (+ 1 (* -1 (pow y 2)))) (+ 1 (* -1 y)))
(/ (* x (+ 1 (* -1 (pow y 2)))) (+ 1 (* -1 y)))
(* -1 (* x (+ 1 (* -1 (pow y 2)))))
(* -1 (* x (+ 1 (* -1 (pow y 2)))))
(* -1 (* x (+ 1 (* -1 (pow y 2)))))
(* -1 (* x (+ 1 (* -1 (pow y 2)))))
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(* x (exp y))
(* x (exp y))
(* x (exp y))
(* -1 (* (pow x 2) (+ 1 (* -1 (pow y 2)))))
(* -1 (* (pow x 2) (+ 1 (* -1 (pow y 2)))))
(* -1 (* (pow x 2) (+ 1 (* -1 (pow y 2)))))
(* -1 (* (pow x 2) (+ 1 (* -1 (pow y 2)))))
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(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))

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

rewrite170.0ms (0.5%)

Memory

39.3MiB live, 267.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	278
0	61	266
1	206	246
2	1356	246
0	8274	242

Stop Event

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

Counts

23 → 571

Calls

Call 1

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

Outputs
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eval152.0ms (0.5%)

Memory: -13.3MiB live, 343.2MiB allocated
Compiler: Compiled 24 391 to 3 376 computations (86.2% saved)

prune66.0ms (0.2%)

Memory

-5.0MiB live, 166.0MiB allocated

Pruning

35 alts after pruning (23 fresh and 12 done)

	Pruned	Kept	Total
New	1 132	20	1 152
Fresh	4	3	7
Picked	2	3	5
Done	0	9	9
Total	1 138	35	1 173

Accuracy

100.0%

Counts

1 173 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	98.9%	(*.f64 x (exp.f64 y))
✓	82.3%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
✓	100.0%	(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
✓	99.4%	(.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y)))
✓	40.2%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
✓	46.3%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
	87.7%	(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.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))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
	87.7%	(*.f64 x #s(approx (exp y) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)))) y #s(literal 1 binary64))))
	88.1%	(.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 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64))))))
	49.2%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))))))
	49.2%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)))))))
	46.2%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 y #s(literal 1/2 binary64) (.f64 y (*.f64 y #s(literal 1/6 binary64)))) y))))
	46.2%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 y y)))))
	46.2%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) y) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y))))
	46.2%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))))
✓	46.2%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
	46.1%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y) y))))
	46.1%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 #s(approx ( (+ (* 1/6 y) 1/2) y) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y))))
✓	73.7%	#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 (.f64 x y) #s(literal 1/6 binary64) (.f64 x #s(literal 1/2 binary64))) y x) y x))
	83.3%	#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 1/6 binary64)) y (.f64 x #s(literal 1/2 binary64))) y x) y x))
	83.3%	#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x y) x) y x))
	84.3%	#s(approx (* x (exp y)) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) x) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) 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))
	83.3%	#s(approx (* x (exp y)) (fma.f64 (fma.f64 #s(approx (* x (+ (* 1/6 y) 1/2)) (.f64 (.f64 x y) #s(literal 1/6 binary64))) y x) y x))
	83.3%	#s(approx (* x (exp y)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y x))) y x))
	84.7%	#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (.f64 (.f64 (*.f64 y y) x) #s(literal 1/6 binary64))) y x))
✓	59.0%	#s(approx (* x (exp y)) (fma.f64 y x x))
	29.2%	#s(approx (* x (exp y)) (/.f64 (.f64 x #s(approx (- ( (* y x) y) x) (.f64 (.f64 y y) x))) (-.f64 (*.f64 y x) x)))
	83.2%	#s(approx (* x (exp y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y x) y x))))
	59.0%	#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
	41.8%	#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (.f64 (.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y) y)))
	42.9%	#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (.f64 (.f64 x (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))) y)))
✓	17.9%	#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 990 to 542 computations (45.3% saved)

regimes60.0ms (0.2%)

Memory

-10.9MiB live, 105.2MiB allocated

Counts

43 → 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))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x 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 #s(approx ( (+ (* 1/6 y) 1/2) y) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y) y))))
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (.f64 (.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y) y)))
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (.f64 (.f64 (*.f64 y y) x) #s(literal 1/6 binary64))) y x))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 y y)))))
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (.f64 (.f64 x (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))) y)))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 #s(approx (* x (+ (* 1/6 y) 1/2)) (.f64 (.f64 x y) #s(literal 1/6 binary64))) y x) y x))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
#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 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x y) x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 y #s(literal 1/2 binary64) (.f64 y (*.f64 y #s(literal 1/6 binary64)))) y))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 1/6 binary64)) y (.f64 x #s(literal 1/2 binary64))) y x) y x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 (.f64 x y) #s(literal 1/6 binary64) (.f64 x #s(literal 1/2 binary64))) y x) y x))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 y #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (/.f64 (.f64 x #s(approx (- ( (* y x) y) x) (.f64 (.f64 y y) x))) (-.f64 (*.f64 y x) x)))
#s(approx (* x (exp y)) (/.f64 (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) (-.f64 (.f64 y x) x)))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) y) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))))))
(.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 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64))))))
#s(approx (* x (exp y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y x) y x))))
#s(approx (* x (exp y)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y x))) y x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) x) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))))
(*.f64 x #s(approx (exp y) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)))) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (-.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))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)))))))
(*.f64 x (exp.f64 y))
(.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y)))
(.f64 x (exp.f64 (.f64 y y)))
(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))

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

Calls

5 calls:

13.0ms	x
12.0ms	(.f64 x (exp.f64 (.f64 y y)))
12.0ms	y
12.0ms	(*.f64 y y)
9.0ms	(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)

regimes59.0ms (0.2%)

Memory

9.5MiB live, 88.5MiB allocated

Counts

42 → 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))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x 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 #s(approx ( (+ (* 1/6 y) 1/2) y) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y) y))))
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (.f64 (.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y) y)))
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (.f64 (.f64 (*.f64 y y) x) #s(literal 1/6 binary64))) y x))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 y y)))))
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (.f64 (.f64 x (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))) y)))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 #s(approx (* x (+ (* 1/6 y) 1/2)) (.f64 (.f64 x y) #s(literal 1/6 binary64))) y x) y x))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
#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 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x y) x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 y #s(literal 1/2 binary64) (.f64 y (*.f64 y #s(literal 1/6 binary64)))) y))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 1/6 binary64)) y (.f64 x #s(literal 1/2 binary64))) y x) y x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 (.f64 x y) #s(literal 1/6 binary64) (.f64 x #s(literal 1/2 binary64))) y x) y x))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 y #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (/.f64 (.f64 x #s(approx (- ( (* y x) y) x) (.f64 (.f64 y y) x))) (-.f64 (*.f64 y x) x)))
#s(approx (* x (exp y)) (/.f64 (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) (-.f64 (.f64 y x) x)))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) y) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))))))
(.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 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64))))))
#s(approx (* x (exp y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y x) y x))))
#s(approx (* x (exp y)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y x))) y x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) x) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))))
(*.f64 x #s(approx (exp y) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)))) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (-.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))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)))))))
(*.f64 x (exp.f64 y))
(.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y)))
(.f64 x (exp.f64 (.f64 y y)))

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

Calls

5 calls:

13.0ms	x
12.0ms	y
11.0ms	(.f64 x (exp.f64 (.f64 y y)))
11.0ms	(exp.f64 (*.f64 y y))
10.0ms	(*.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)

regimes65.0ms (0.2%)

Memory

18.7MiB live, 90.7MiB allocated

Counts

41 → 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))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x 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 #s(approx ( (+ (* 1/6 y) 1/2) y) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y) y))))
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (.f64 (.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y) y)))
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (.f64 (.f64 (*.f64 y y) x) #s(literal 1/6 binary64))) y x))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 y y)))))
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (.f64 (.f64 x (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))) y)))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 #s(approx (* x (+ (* 1/6 y) 1/2)) (.f64 (.f64 x y) #s(literal 1/6 binary64))) y x) y x))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
#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 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x y) x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 y #s(literal 1/2 binary64) (.f64 y (*.f64 y #s(literal 1/6 binary64)))) y))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 1/6 binary64)) y (.f64 x #s(literal 1/2 binary64))) y x) y x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 (.f64 x y) #s(literal 1/6 binary64) (.f64 x #s(literal 1/2 binary64))) y x) y x))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 y #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (/.f64 (.f64 x #s(approx (- ( (* y x) y) x) (.f64 (.f64 y y) x))) (-.f64 (*.f64 y x) x)))
#s(approx (* x (exp y)) (/.f64 (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) (-.f64 (.f64 y x) x)))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) y) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))))))
(.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 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64))))))
#s(approx (* x (exp y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y x) y x))))
#s(approx (* x (exp y)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y x))) y x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) x) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))))
(*.f64 x #s(approx (exp y) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)))) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (-.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))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)))))))
(*.f64 x (exp.f64 y))
(.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y)))

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

Calls

5 calls:

18.0ms	y
13.0ms	(exp.f64 (*.f64 y y))
12.0ms	x
11.0ms	(.f64 x (exp.f64 (.f64 y y)))
10.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`y`
99.4%	1	`(.f64 x (exp.f64 (.f64 y y)))`
99.4%	1	`(exp.f64 (*.f64 y y))`
99.4%	1	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes66.0ms (0.2%)

Memory

6.2MiB live, 85.8MiB allocated

Counts

40 → 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))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x 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 #s(approx ( (+ (* 1/6 y) 1/2) y) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y) y))))
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (.f64 (.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y) y)))
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (.f64 (.f64 (*.f64 y y) x) #s(literal 1/6 binary64))) y x))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 y y)))))
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (.f64 (.f64 x (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))) y)))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 #s(approx (* x (+ (* 1/6 y) 1/2)) (.f64 (.f64 x y) #s(literal 1/6 binary64))) y x) y x))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
#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 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x y) x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 y #s(literal 1/2 binary64) (.f64 y (*.f64 y #s(literal 1/6 binary64)))) y))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 1/6 binary64)) y (.f64 x #s(literal 1/2 binary64))) y x) y x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 (.f64 x y) #s(literal 1/6 binary64) (.f64 x #s(literal 1/2 binary64))) y x) y x))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 y #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (/.f64 (.f64 x #s(approx (- ( (* y x) y) x) (.f64 (.f64 y y) x))) (-.f64 (*.f64 y x) x)))
#s(approx (* x (exp y)) (/.f64 (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) (-.f64 (.f64 y x) x)))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) y) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))))))
(.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 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64))))))
#s(approx (* x (exp y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y x) y x))))
#s(approx (* x (exp y)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y x))) y x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) x) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))))
(*.f64 x #s(approx (exp y) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)))) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (-.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))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)))))))
(*.f64 x (exp.f64 y))

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

Calls

5 calls:

18.0ms	(*.f64 y y)
16.0ms	y
11.0ms	x
10.0ms	(.f64 x (exp.f64 (.f64 y y)))
9.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`y`
98.9%	1	`(.f64 x (exp.f64 (.f64 y y)))`
98.9%	1	`(exp.f64 (*.f64 y y))`
98.9%	1	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes59.0ms (0.2%)

Memory

-29.4MiB live, 92.6MiB allocated

Counts

39 → 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))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x 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 #s(approx ( (+ (* 1/6 y) 1/2) y) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y) y))))
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (.f64 (.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y) y)))
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (.f64 (.f64 (*.f64 y y) x) #s(literal 1/6 binary64))) y x))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 y y)))))
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (.f64 (.f64 x (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))) y)))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 #s(approx (* x (+ (* 1/6 y) 1/2)) (.f64 (.f64 x y) #s(literal 1/6 binary64))) y x) y x))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
#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 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x y) x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 y #s(literal 1/2 binary64) (.f64 y (*.f64 y #s(literal 1/6 binary64)))) y))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 1/6 binary64)) y (.f64 x #s(literal 1/2 binary64))) y x) y x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 (.f64 x y) #s(literal 1/6 binary64) (.f64 x #s(literal 1/2 binary64))) y x) y x))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 y #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (/.f64 (.f64 x #s(approx (- ( (* y x) y) x) (.f64 (.f64 y y) x))) (-.f64 (*.f64 y x) x)))
#s(approx (* x (exp y)) (/.f64 (.f64 x (-.f64 (.f64 (.f64 y x) y) x)) (-.f64 (.f64 y x) x)))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) y) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))))))
(.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 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64))))))
#s(approx (* x (exp y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y x) y x))))
#s(approx (* x (exp y)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y x))) y x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) x) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))))
(*.f64 x #s(approx (exp y) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)))) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (-.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))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)))))))

Outputs

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

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

Calls

5 calls:

13.0ms	x
13.0ms	(.f64 x (exp.f64 (.f64 y y)))
12.0ms	(*.f64 y y)
11.0ms	y
8.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
88.1%	1	`x`
91.3%	2	`y`
91.3%	2	`(.f64 x (exp.f64 (.f64 y y)))`
91.3%	2	`(exp.f64 (*.f64 y y))`
91.3%	2	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes61.0ms (0.2%)

Memory

16.3MiB live, 93.9MiB allocated

Counts

28 → 1

Calls

Call 1

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

Outputs
(*.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))))

Calls

5 calls:

29.0ms	x
9.0ms	(.f64 x (exp.f64 (.f64 y y)))
8.0ms	y
7.0ms	(*.f64 y y)
6.0ms	(exp.f64 (*.f64 y y))

Results

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

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes30.0ms (0.1%)

Memory

1.0MiB live, 40.0MiB allocated

Counts

19 → 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))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x 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 #s(approx ( (+ (* 1/6 y) 1/2) y) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y) y))))
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (.f64 (.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y) y)))
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (.f64 (.f64 (*.f64 y y) x) #s(literal 1/6 binary64))) y x))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 y y)))))
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (.f64 (.f64 x (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))) y)))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 #s(approx (* x (+ (* 1/6 y) 1/2)) (.f64 (.f64 x y) #s(literal 1/6 binary64))) y x) y x))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
#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 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x y) x) y x))

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
88.3%	2	`y`
88.3%	2	`(*.f64 y y)`
84.7%	1	`x`
88.3%	2	`(.f64 x (exp.f64 (.f64 y y)))`
88.3%	2	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes27.0ms (0.1%)

Memory

-31.2MiB live, 25.4MiB allocated

Counts

16 → 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))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x 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 #s(approx ( (+ (* 1/6 y) 1/2) y) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y) y))))
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (.f64 (.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y) y)))
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (.f64 (.f64 (*.f64 y y) x) #s(literal 1/6 binary64))) y x))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 y y)))))
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (.f64 (.f64 x (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))) y)))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 #s(approx (* x (+ (* 1/6 y) 1/2)) (.f64 (.f64 x y) #s(literal 1/6 binary64))) y x) y x))

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
88.3%	2	`(.f64 x (exp.f64 (.f64 y y)))`
88.3%	2	`y`
88.3%	2	`(exp.f64 (*.f64 y y))`
88.3%	2	`(*.f64 y y)`

Compiler

Compiled 14 to 14 computations (0% saved)

regimes16.0ms (0.1%)

Memory

27.1MiB live, 27.1MiB allocated

Counts

12 → 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))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x 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 #s(approx ( (+ (* 1/6 y) 1/2) y) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y))))
(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y) y))))
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (.f64 (.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y) y)))
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (.f64 (.f64 (*.f64 y y) x) #s(literal 1/6 binary64))) y x))

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
88.3%	2	`y`
88.3%	2	`(.f64 x (exp.f64 (.f64 y y)))`
88.3%	2	`(exp.f64 (*.f64 y y))`
88.3%	2	`(*.f64 y y)`

Compiler

Compiled 14 to 14 computations (0% saved)

regimes17.0ms (0.1%)

Memory

-10.5MiB live, 27.9MiB allocated

Counts

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

5 calls:

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

Results

Accuracy	Segments	Branch
82.3%	1	`x`
82.3%	1	`y`
82.3%	1	`(.f64 x (exp.f64 (.f64 y y)))`
82.3%	1	`(exp.f64 (*.f64 y y))`
82.3%	1	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes40.0ms (0.1%)

Memory

-17.1MiB live, 21.2MiB 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))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))

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

Calls

5 calls:

29.0ms	(.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
82.3%	1	`(.f64 x (exp.f64 (.f64 y y)))`
82.3%	1	`(exp.f64 (*.f64 y y))`
82.3%	1	`y`
82.3%	1	`(*.f64 y y)`
82.3%	1	`x`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes13.0ms (0%)

Memory

18.2MiB live, 18.2MiB 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	x
3.0ms	y
2.0ms	(.f64 x (exp.f64 (.f64 y y)))
2.0ms	(*.f64 y y)
2.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
82.3%	2	`(.f64 x (exp.f64 (.f64 y y)))`
82.3%	2	`(exp.f64 (*.f64 y y))`
82.3%	2	`y`
82.3%	2	`(*.f64 y y)`
73.7%	1	`x`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes9.0ms (0%)

Memory

13.0MiB live, 13.0MiB 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
82.1%	2	`(.f64 x (exp.f64 (.f64 y y)))`
82.1%	2	`(exp.f64 (*.f64 y y))`
82.1%	2	`y`
82.1%	2	`(*.f64 y y)`

Compiler

Compiled 14 to 14 computations (0% saved)

regimes26.0ms (0.1%)

Memory

-19.5MiB live, 19.3MiB 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:

18.0ms	y
2.0ms	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
59.0%	1	`x`
59.0%	1	`(.f64 x (exp.f64 (.f64 y y)))`
59.0%	1	`(exp.f64 (*.f64 y y))`
59.0%	1	`y`
59.0%	1	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes8.0ms (0%)

Memory

17.5MiB live, 17.5MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
49.7%	2	`x`
59.4%	2	`y`
59.4%	2	`(.f64 x (exp.f64 (.f64 y y)))`
59.4%	2	`(exp.f64 (*.f64 y y))`
59.4%	2	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes10.0ms (0%)

Memory

-25.0MiB live, 13.8MiB 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:

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

Results

Accuracy	Segments	Branch
17.9%	1	`x`
17.9%	1	`(.f64 x (exp.f64 (.f64 y y)))`
17.9%	1	`(exp.f64 (*.f64 y y))`
17.9%	1	`y`
17.9%	1	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1314.2951790762843	+inf

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.000003681195668	1314.2951790762843

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	7.181055815426974	5918818295597.242

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.181055815426974	5918818295597.242

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.24663855661869e+141	7.14817669062066e+146

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.6811888924594077e-6	7.181055815426974

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.6811888924594077e-6	7.181055815426974

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify21.0ms (0.1%)

Memory

30.5MiB live, 30.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	384
1	132	384
2	150	384
3	218	384
4	363	384
5	470	384
6	493	384
7	493	384

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
(.f64 x (exp.f64 (.f64 y y)))
(.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y)))
(*.f64 x (exp.f64 y))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2000 binary64)) (.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) (.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))))
(*.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))))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) (.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) (.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)))))
(if (<=.f64 (.f64 y y) #s(literal 10 binary64)) (.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) (.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))))
(if (<=.f64 (.f64 y y) #s(literal 10 binary64)) (.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) (.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 #s(approx ( (+ (* 1/6 y) 1/2) y) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y)))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(if (<=.f64 (.f64 y y) #s(literal 10000000000000000508222848402996879704791089448509839788449208028871961714412352270078388372553960191290960287445781834331294577148468377157632 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 (.f64 y y) #s(literal 5902958103587057/1180591620717411303424 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 5902958103587057/1180591620717411303424 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))

Outputs
(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
(.f64 #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)) x)
(.f64 x (exp.f64 (.f64 y y)))
(.f64 (exp.f64 (.f64 y y)) x)
(.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y)))
(.f64 #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y)) x)
(*.f64 x (exp.f64 y))
(*.f64 (exp.f64 y) x)
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2000 binary64)) (.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) (.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2000 binary64)) (.f64 #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) x) (.f64 #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) 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)
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) (.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) (.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)))))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) (.f64 #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) x) (.f64 #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))) x))
(if (<=.f64 (.f64 y y) #s(literal 10 binary64)) (.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) (.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))))
(if (<=.f64 (.f64 y y) #s(literal 10 binary64)) (.f64 #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) x) (.f64 #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))) x))
(if (<=.f64 (.f64 y y) #s(literal 10 binary64)) (.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) (.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 #s(approx ( (+ (* 1/6 y) 1/2) y) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y)))))
(if (<=.f64 (.f64 y y) #s(literal 10 binary64)) (.f64 #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) x) (.f64 #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 #s(approx ( (+ (* 1/6 y) 1/2) y) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y))) x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
(.f64 #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))) x)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(if (<=.f64 (.f64 y y) #s(literal 10000000000000000508222848402996879704791089448509839788449208028871961714412352270078388372553960191290960287445781834331294577148468377157632 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 (.f64 y y) #s(literal 10000000000000000508222848402996879704791089448509839788449208028871961714412352270078388372553960191290960287445781834331294577148468377157632 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))) x))
(if (<=.f64 (.f64 y y) #s(literal 5902958103587057/1180591620717411303424 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) (.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))))
(if (<=.f64 (.f64 y y) #s(literal 5902958103587057/1180591620717411303424 binary64)) (.f64 #s(approx (exp (* y y)) #s(literal 1 binary64)) x) (.f64 #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))) x))
#s(approx (* x (exp y)) (fma.f64 y x x))
(if (<=.f64 (.f64 y y) #s(literal 5902958103587057/1180591620717411303424 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x))))
(if (<=.f64 (.f64 y y) #s(literal 5902958103587057/1180591620717411303424 binary64)) (.f64 #s(approx (exp (* y y)) #s(literal 1 binary64)) x) #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))

soundness2.0s (6.4%)

Memory

30.4MiB live, 918.4MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	278
0	61	266
1	206	246
2	1356	246
0	8274	242
0	70	1346
1	217	1346
2	547	1320
3	1417	1312
4	3264	1312
0	8424	1223
0	33	272
1	95	272
2	276	266
3	744	264
4	974	264
5	1146	264
6	1303	264
7	1421	264
8	1421	262
9	1737	262
10	1769	262
11	1770	262
12	1819	262
0	1819	250
0	116	1730
1	379	1718
2	1030	1696
3	3028	1690
4	6537	1690
0	9298	1540
0	19	90
0	29	90
1	76	90
2	362	90
3	3096	90
0	8459	90
0	207	3053
1	681	2858
2	2137	2826
3	5720	2810
0	8333	2506
0	5	13
0	8	13
1	13	13
2	26	13
3	69	13
4	294	5
0	2666	5

Stop Event

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

Compiler

Compiled 442 to 277 computations (37.3% saved)

preprocess279.0ms (0.9%)

Memory

-38.5MiB live, 336.2MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 670 to 352 computations (47.5% 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	19	103
0	29	103
1	43	103
2	47	103
3	53	103
4	53	103
5	102	103
6	102	103
7	107	103
8	108	103
0	108	103

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	19	103
0	29	103
1	43	103
2	47	103
3	53	103
4	53	103
5	102	103
6	102	103
7	107	103
8	108	103
0	108	103

start0.0ms (0%)

analyze0.0ms (0%)

sample983.0ms (3.1%)

explain71.0ms (0.2%)

preprocess35.0ms (0.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize33.0ms (0.1%)

series5.0ms (0%)

simplify57.0ms (0.2%)

rewrite78.0ms (0.2%)

eval5.0ms (0%)

prune4.0ms (0%)

simplify6.0ms (0%)

localize210.0ms (0.7%)

series12.0ms (0%)

simplify624.0ms (2%)

rewrite372.0ms (1.2%)

eval23.9s (75.7%)

prune27.0ms (0.1%)

simplify13.0ms (0%)

localize99.0ms (0.3%)

series60.0ms (0.2%)

simplify371.0ms (1.2%)

rewrite483.0ms (1.5%)

eval174.0ms (0.5%)

prune128.0ms (0.4%)

simplify276.0ms (0.9%)

localize108.0ms (0.3%)

series37.0ms (0.1%)

simplify158.0ms (0.5%)

rewrite170.0ms (0.5%)

eval152.0ms (0.5%)

prune66.0ms (0.2%)

regimes60.0ms (0.2%)

regimes59.0ms (0.2%)

regimes65.0ms (0.2%)

regimes66.0ms (0.2%)

regimes59.0ms (0.2%)

regimes61.0ms (0.2%)

regimes30.0ms (0.1%)

regimes27.0ms (0.1%)

regimes16.0ms (0.1%)

regimes17.0ms (0.1%)

regimes40.0ms (0.1%)

regimes13.0ms (0%)

regimes9.0ms (0%)

regimes26.0ms (0.1%)

regimes8.0ms (0%)

regimes10.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify21.0ms (0.1%)

soundness2.0s (6.4%)

preprocess279.0ms (0.9%)

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

Iter	Nodes	Cost
0	19	103
0	29	103
1	43	103
2	47	103
3	53	103
4	53	103
5	102	103
6	102	103
7	107	103
8	108	103
0	108	103