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

0.1MiB live, 0.1MiB 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)

sample486.0ms (10.2%)

Memory

174.9MiB live, 174.9MiB allocated

Samples

303.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

ival-mult: 99.0ms (60.2% of total)

ival-exp: 57.0ms (34.6% of total)

ival-true: 6.0ms (3.6% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

explain61.0ms (1.3%)

Memory

29.5MiB live, 29.5MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f64`	`(exp.f64 (*.f64 y y))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

22.0ms

512×

valid

Compiler

Compiled 85 to 34 computations (60% saved)

Precisions

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

ival-mult: 6.0ms (57.1% of total)

ival-exp: 3.0ms (28.5% of total)

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

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

preprocess30.0ms (0.6%)

Memory

6.4MiB live, 6.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

simplify2.0ms (0.1%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize15.0ms (0.3%)

Memory

6.2MiB live, 6.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0	(.f64 x (exp.f64 (.f64 y y)))
accuracy	0.025232154760301946	(exp.f64 (*.f64 y y))

Samples

10.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

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

ival-mult: 3.0ms (60.3% of total)

ival-exp: 2.0ms (40.2% of total)

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

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

series4.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB 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)))
0.0ms	x	@	-inf	((* x (exp (* y y))) (* y y) (exp (* y y)))
0.0ms	x	@	inf	((* x (exp (* y y))) (* y y) (exp (* y y)))

simplify48.0ms (1%)

Memory

6.8MiB live, 6.8MiB 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)

rewrite40.0ms (0.8%)

Memory

5.8MiB live, 5.8MiB 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 (0.1%)

Memory: 4.3MiB live, 4.3MiB allocated
Compiler: Compiled 383 to 44 computations (88.5% saved)

prune2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	50	4	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	5	55

Accuracy

100.0%

Counts

55 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
▶	99.3%	(*.f64 x (exp.f64 y))
▶	100.0%	(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
▶	51.7%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
▶	83.7%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))

Compiler

Compiled 28 to 25 computations (10.7% saved)

simplify5.0ms (0.1%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	76
0	24	76
1	37	76
2	42	76
3	48	76
4	48	76
5	91	76
6	91	76
7	96	76
8	97	76
0	97	76

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize33.0ms (0.7%)

Memory

13.4MiB live, 13.4MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 y)
accuracy	0.00390625	(*.f64 x (exp.f64 y))
accuracy	0	(.f64 x #s(approx (exp ( y y)) (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	0.009070031620653759	(pow.f64 (exp.f64 y) y)
accuracy	0	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
accuracy	31.1948901730934	#s(approx (exp (* y y)) #s(literal 1 binary64))
accuracy	0	(*.f64 y y)
accuracy	3.988092217683647	(fma.f64 (*.f64 y y) x x)
accuracy	14.420299723606682	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))

Samples

24.0ms

256×

valid

Compiler

Compiled 112 to 26 computations (76.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 6.0ms (41% of total)

ival-pow: 4.0ms (27.3% of total)

ival-exp: 3.0ms (20.5% of total)

ival-add: 1.0ms (6.8% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

10 → 180

Calls

Call 1

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

Outputs
#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)) #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 (.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 (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 #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 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 (exp (pow y 2))) (taylor inf 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 (exp (pow y 2))) (taylor inf 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)) (taylor inf 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) (+ x (/ x (pow y 2)))) (taylor inf 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) (+ x (/ x (pow y 2)))) (taylor inf 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) (+ x (/ x (pow y 2)))) (taylor inf 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 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 (* x (exp (pow y 2))) (taylor inf 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 (exp (pow y 2))) (taylor inf 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 (exp (pow y 2))) (taylor inf 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 (exp (pow y 2))) (taylor inf 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 (exp (pow y 2)) (taylor inf 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 (exp (pow y 2)) (taylor inf 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 (exp (pow y 2)) (taylor inf 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 (exp (pow y 2)) (taylor inf 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 (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>) () ())) ())
#s(alt (* x (exp y)) (taylor inf y) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor inf y) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor inf y) (#s(alt (.f64 x (exp.f64 y)) (patch (.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor inf 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 #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>) () ())) ())
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#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>) () ())) ())
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#s(alt (* x (exp (pow y 2))) (taylor -inf 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 (exp (pow y 2))) (taylor -inf 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 (exp (pow y 2))) (taylor -inf 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>) () ())) ())
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#s(alt (exp (pow y 2)) (taylor -inf y) (#s(alt #s(approx (exp (* y y)) #s(literal 1 binary64)) (patch #s(approx (exp (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* x (exp (pow y 2))) (taylor 0 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 0 x) (#s(alt (fma.f64 (.f64 y y) x x) (patch (fma.f64 (.f64 y y) x x) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1 (pow y 2))) (taylor 0 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 0 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 0 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>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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 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
1.0ms	y	@	0	((* x (exp (* y y))) (+ (* (* y y) x) x) (* y y) (* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (* x (exp y)))
1.0ms	x	@	-inf	((* x (exp (* y y))) (+ (* (* y y) x) x) (* y y) (* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (* x (exp y)))
1.0ms	x	@	inf	((* x (exp (* y y))) (+ (* (* y y) x) x) (* y y) (* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (* x (exp y)))
1.0ms	x	@	0	((* x (exp (* y y))) (+ (* (* y y) x) x) (* y y) (* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (* x (exp y)))
1.0ms	y	@	inf	((* x (exp (* y y))) (+ (* (* y y) x) x) (* y y) (* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (* x (exp y)))

simplify154.0ms (3.2%)

Memory

49.6MiB live, 49.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	1058
1	208	1058
2	525	1038
3	1321	1032
4	2247	1032
5	6532	1032
0	8120	964

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 175

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

rewrite127.0ms (2.7%)

Memory

49.8MiB live, 49.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	66
0	24	66
1	58	66
2	240	66
3	1954	66
0	8248	66

Stop Event

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

Counts

10 → 238

Calls

Call 1

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

Outputs
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eval38.0ms (0.8%)

Memory: 33.7MiB live, 33.7MiB allocated
Compiler: Compiled 7 797 to 979 computations (87.4% saved)

prune13.0ms (0.3%)

Memory

23.5MiB live, 23.5MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	419	8	427
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	420	12	432

Accuracy

100.0%

Counts

432 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	99.3%	(*.f64 x (exp.f64 y))
▶	100.0%	(.f64 x #s(approx (exp ( y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y))))
▶	100.0%	(.f64 x #s(approx (exp ( y y)) (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64)))))
✓	100.0%	(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
	99.3%	(.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)))
✓	51.7%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
▶	88.8%	(*.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))))
▶	77.5%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x))
	83.7%	#s(approx (* x (exp (* y y))) (+.f64 (.f64 x (.f64 y y)) x))
	36.4%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x)))
▶	63.6%	#s(approx (* x (exp y)) (fma.f64 y x x))

Compiler

Compiled 173 to 140 computations (19.1% saved)

simplify13.0ms (0.3%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	215
0	54	195
1	82	195
2	105	195
3	172	195
4	337	195
5	473	195
6	501	195
7	507	195
0	507	195

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize71.0ms (1.5%)

Memory

30.4MiB live, 30.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 y)
accuracy	0	#s(approx (exp (* y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y)))
accuracy	0.0078125	(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y))
accuracy	0.0078125	(pow.f64 (exp.f64 y) #s(literal 2 binary64))
accuracy	0.0390625	(fma.f64 (fma.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	0.04296875	(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
accuracy	0.1796875	(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy	9.804294841141951	#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 x y)
accuracy	0.07421875	(fma.f64 (*.f64 x y) y x)
accuracy	14.420299723606682	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x))
accuracy	0	(fma.f64 y x x)
accuracy	23.28115590658862	#s(approx (* x (exp y)) (fma.f64 y x x))
accuracy	0	(exp.f64 y)
accuracy	0	#s(approx (exp (* y y)) (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64))))
accuracy	0.0078125	(pow.f64 (exp.f64 y) #s(literal 2 binary64))
accuracy	0.0078125	(*.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64)))

Samples

53.0ms

256×

valid

Compiler

Compiled 330 to 59 computations (82.1% saved)

Precisions

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

ival-mult: 16.0ms (42.1% of total)

ival-pow: 8.0ms (21.1% of total)

ival-add: 5.0ms (13.2% of total)

ival-exp: 3.0ms (7.9% of total)

const: 3.0ms (7.9% of total)

ival-pow2: 2.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.4%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

19 → 324

Calls

Call 1

Inputs
#s(alt (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (patch (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64))))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (exp (* y y)) (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64)))) (patch #s(approx (exp (* y y)) (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64))) (patch (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64))) #<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 #s(approx (* x (exp (* y y))) (fma.f64 (.f64 x y) y x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 x y) y x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x y) y x) (patch (fma.f64 (.f64 x y) y x) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<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 x #s(approx (exp ( y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) y)))) (patch (.f64 x #s(approx (exp (* y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y)))) #<representation binary64>) () ())
#s(alt #s(approx (exp (* y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) y))) (patch #s(approx (exp ( y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) y)) (patch (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())
#s(alt (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (patch (pow.f64 (exp.f64 y) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (exp.f64 y) (patch (exp.f64 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 1 (taylor 0 y) (#s(alt (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (patch (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) (taylor 0 y) (#s(alt #s(approx (exp (* y y)) (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64)))) (patch #s(approx (exp (* y y)) (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 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)) (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64)))) (patch #s(approx (exp (* y y)) (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64))) (patch (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64))) (patch (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) (taylor 0 y) (#s(alt (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64))) (patch (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#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 (* x y)) (taylor 0 y) (#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 (* y (+ x (* 1/2 (* x y))))) (taylor 0 y) (#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 (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))))) (taylor 0 y) (#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 (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (.f64 x y) y x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 x y) y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (.f64 x y) y x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 x y) y 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 x y) y x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 x y) y 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 x y) y x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 x y) y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (.f64 x y) y x) (patch (fma.f64 (.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (.f64 x y) y x) (patch (fma.f64 (.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (.f64 x y) y x) (patch (fma.f64 (.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (.f64 x y) y x) (patch (fma.f64 (.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#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 (* x y)) (taylor 0 y) (#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 (* y (+ x (* 1/2 (* x y))))) (taylor 0 y) (#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>) () ())) ())
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#s(alt 1 (taylor 0 y) (#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>) () ())) ())
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#s(alt 1 (taylor 0 y) (#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 (+ 1 y) (taylor 0 y) (#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>) () ())) ())
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#s(alt (+ 1 (* y (+ 1/2 (* 1/6 y)))) (taylor 0 y) (#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 (+ 1 (* y (+ 1/2 (* 1/6 y)))) (taylor 0 y) (#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 x (taylor 0 y) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) y)))) (patch (.f64 x #s(approx (exp (* y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y)))) #<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)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) y)))) (patch (.f64 x #s(approx (exp (* y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) y)))) (patch (.f64 x #s(approx (exp (* y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) y)))) (patch (.f64 x #s(approx (exp (* y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64))))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64))))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64))))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64))))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64))))) #<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 #s(approx (* x (exp (* y y))) (fma.f64 (.f64 x y) y x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 x y) 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 x y) y x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 x y) 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 x y) y x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 x y) 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 x y) y x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 x y) y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (.f64 x y) y x) (patch (fma.f64 (.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (.f64 x y) y x) (patch (fma.f64 (.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (.f64 x y) y x) (patch (fma.f64 (.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (.f64 x y) y x) (patch (fma.f64 (.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<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 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) y)))) (patch (.f64 x #s(approx (exp (* y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) y)))) (patch (.f64 x #s(approx (exp (* y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) y)))) (patch (.f64 x #s(approx (exp (* y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) y)))) (patch (.f64 x #s(approx (exp (* y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64))))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64))))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64))))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64))))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (.f64 y #s(literal 1/4 binary64))))) #<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 #s(approx (* x (exp (* y y))) (fma.f64 (.f64 x y) y x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 x y) 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 x y) y x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 x y) 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 x y) y x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 x y) 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 x y) y x)) (patch #s(approx ( x (exp (* y y))) (fma.f64 (*.f64 x y) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x y) y x) (patch (fma.f64 (.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x y) y x) (patch (fma.f64 (.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x y) y x) (patch (fma.f64 (.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x y) y x) (patch (fma.f64 (.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<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 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) y)))) (patch (.f64 x #s(approx (exp (* y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) y)))) (patch (.f64 x #s(approx (exp (* y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) y)))) (patch (.f64 x #s(approx (exp (* y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) y)))) (patch (.f64 x #s(approx (exp (* y y)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y)))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	((* (pow (exp y) 2) (pow (exp y) 2)) (* x (exp (* y y))) (exp (* y y)) (pow (* (pow (exp y) 2) (pow (exp y) 2)) (* y 1/4)) (* x (exp y)) (+ (* y x) x) (* x (exp (* y y))) (+ (* (* x y) y) x) (* x y) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp (* y y))) (exp (* y y)) (pow (pow (exp y) 2) (* 1/2 y)) (pow (exp y) 2) (exp y) (+ (* 1/6 y) 1/2))
2.0ms	y	@	inf	((* (pow (exp y) 2) (pow (exp y) 2)) (* x (exp (* y y))) (exp (* y y)) (pow (* (pow (exp y) 2) (pow (exp y) 2)) (* y 1/4)) (* x (exp y)) (+ (* y x) x) (* x (exp (* y y))) (+ (* (* x y) y) x) (* x y) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp (* y y))) (exp (* y y)) (pow (pow (exp y) 2) (* 1/2 y)) (pow (exp y) 2) (exp y) (+ (* 1/6 y) 1/2))
2.0ms	y	@	-inf	((* (pow (exp y) 2) (pow (exp y) 2)) (* x (exp (* y y))) (exp (* y y)) (pow (* (pow (exp y) 2) (pow (exp y) 2)) (* y 1/4)) (* x (exp y)) (+ (* y x) x) (* x (exp (* y y))) (+ (* (* x y) y) x) (* x y) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp (* y y))) (exp (* y y)) (pow (pow (exp y) 2) (* 1/2 y)) (pow (exp y) 2) (exp y) (+ (* 1/6 y) 1/2))
1.0ms	x	@	-inf	((* (pow (exp y) 2) (pow (exp y) 2)) (* x (exp (* y y))) (exp (* y y)) (pow (* (pow (exp y) 2) (pow (exp y) 2)) (* y 1/4)) (* x (exp y)) (+ (* y x) x) (* x (exp (* y y))) (+ (* (* x y) y) x) (* x y) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp (* y y))) (exp (* y y)) (pow (pow (exp y) 2) (* 1/2 y)) (pow (exp y) 2) (exp y) (+ (* 1/6 y) 1/2))
1.0ms	x	@	inf	((* (pow (exp y) 2) (pow (exp y) 2)) (* x (exp (* y y))) (exp (* y y)) (pow (* (pow (exp y) 2) (pow (exp y) 2)) (* y 1/4)) (* x (exp y)) (+ (* y x) x) (* x (exp (* y y))) (+ (* (* x y) y) x) (* x y) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp (* y y))) (exp (* y y)) (pow (pow (exp y) 2) (* 1/2 y)) (pow (exp y) 2) (exp y) (+ (* 1/6 y) 1/2))

simplify167.0ms (3.5%)

Memory

49.0MiB live, 49.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	1898
1	466	1898
2	1210	1820
3	3349	1814
4	6782	1798
0	8369	1639

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 317

Calls

Call 1

Inputs
1
(+ 1 (* 4 y))
(+ 1 (* y (+ 4 (* 8 y))))
(+ 1 (* y (+ 4 (* y (+ 8 (* 32/3 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 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (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
(+ 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))))))
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))))
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 (* 2 y))
(+ 1 (* y (+ 2 (* 2 y))))
(+ 1 (* y (+ 2 (* y (+ 2 (* 4/3 y))))))
1
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
1/2
(+ 1/2 (* 1/6 y))
(+ 1/2 (* 1/6 y))
(+ 1/2 (* 1/6 y))
(pow (exp y) 4)
(pow (exp y) 4)
(pow (exp y) 4)
(pow (exp y) 4)
(* 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 (* 1/4 (* y (log (pow (exp y) 4)))))
(exp (* 1/4 (* y (log (pow (exp y) 4)))))
(exp (* 1/4 (* y (log (pow (exp y) 4)))))
(exp (* 1/4 (* y (log (pow (exp y) 4)))))
(* 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)))
(* 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)))))
(* 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 (* 1/2 (* y (log (pow (exp y) 2)))))
(exp (* 1/2 (* y (log (pow (exp y) 2)))))
(exp (* 1/2 (* y (log (pow (exp y) 2)))))
(exp (* 1/2 (* y (log (pow (exp y) 2)))))
(pow (exp y) 2)
(pow (exp y) 2)
(pow (exp y) 2)
(pow (exp y) 2)
(exp y)
(exp y)
(exp y)
(exp 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))))
(pow (exp y) 4)
(pow (exp y) 4)
(pow (exp y) 4)
(pow (exp y) 4)
(* 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 (* 1/4 (* y (log (pow (exp y) 4)))))
(exp (* 1/4 (* y (log (pow (exp y) 4)))))
(exp (* 1/4 (* y (log (pow (exp y) 4)))))
(exp (* 1/4 (* y (log (pow (exp y) 4)))))
(* 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)))
(* 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)))))
(* 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 (* 1/2 (* y (log (pow (exp y) 2)))))
(exp (* 1/2 (* y (log (pow (exp y) 2)))))
(exp (* 1/2 (* y (log (pow (exp y) 2)))))
(exp (* 1/2 (* y (log (pow (exp y) 2)))))
(pow (exp y) 2)
(pow (exp y) 2)
(pow (exp y) 2)
(pow (exp y) 2)
(exp y)
(exp y)
(exp y)
(exp 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 (+ 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 (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 (+ 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 (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)))
(* -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))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 4 y))
(fma.f64 y #s(literal 4 binary64) #s(literal 1 binary64))
(+ 1 (* y (+ 4 (* 8 y))))
(fma.f64 (fma.f64 #s(literal 8 binary64) y #s(literal 4 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 4 (* y (+ 8 (* 32/3 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 32/3 binary64) y #s(literal 8 binary64)) y #s(literal 4 binary64)) y #s(literal 1 binary64))
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(fma.f64 (*.f64 x y) (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 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))
x
(+ x (* x y))
(fma.f64 x y x)
(+ x (* y (+ x (* 1/2 (* x y)))))
(fma.f64 (fma.f64 (*.f64 x y) #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 x y x)
(+ x (* x y))
(fma.f64 x y x)
(+ x (* x y))
(fma.f64 x y 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 x y) (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 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 (fma.f64 (*.f64 x y) #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))
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 x y) (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 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 y))
(fma.f64 #s(literal 2 binary64) y #s(literal 1 binary64))
(+ 1 (* y (+ 2 (* 2 y))))
(fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal 2 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 2 (* y (+ 2 (* 4/3 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) y #s(literal 2 binary64)) y #s(literal 2 binary64)) y #s(literal 1 binary64))
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
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 y))
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rewrite153.0ms (3.2%)

Memory

53.6MiB live, 53.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	186
0	54	166
1	173	142
2	985	142
0	8463	142

Stop Event

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

Counts

19 → 435

Calls

Call 1

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

Outputs
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eval113.0ms (2.4%)

Memory: 71.1MiB live, 71.1MiB allocated
Compiler: Compiled 14 895 to 2 325 computations (84.4% saved)

prune46.0ms (1%)

Memory

48.2MiB live, 48.2MiB allocated

Pruning

25 alts after pruning (18 fresh and 7 done)

	Pruned	Kept	Total
New	833	15	848
Fresh	0	3	3
Picked	2	3	5
Done	0	4	4
Total	835	25	860

Accuracy

100.0%

Counts

860 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	99.3%	(*.f64 x (exp.f64 y))
▶	100.0%	(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64)))))
✓	100.0%	(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
	99.3%	(.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)))
✓	51.7%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
✓	88.8%	(*.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))))
	88.8%	(.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))))
	88.8%	(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) y)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 y y))))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
	88.8%	(.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))))
	88.8%	(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) y #s(literal 1 binary64))))
	88.8%	(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
	88.8%	(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y) (+.f64 #s(literal 1 binary64) y))))
	88.8%	(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y #s(literal 1 binary64))))
	88.8%	(.f64 x #s(approx (exp y) (+.f64 y (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)))))
	42.1%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
▶	41.6%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))))
✓	77.5%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x))
	83.7%	#s(approx (* x (exp (* y y))) (+.f64 (.f64 x (.f64 y y)) x))
	36.4%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x)))
▶	85.9%	#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
✓	63.6%	#s(approx (* x (exp y)) (fma.f64 y x x))
▶	42.7%	#s(approx (* x (exp y)) (/.f64 (.f64 x (-.f64 (.f64 (.f64 x y) y) x)) (-.f64 (.f64 x y) x)))
	63.6%	#s(approx (* x (exp y)) (+.f64 (*.f64 x y) x))
▶	16.9%	#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y)))

Compiler

Compiled 516 to 401 computations (22.3% saved)

simplify139.0ms (2.9%)

Memory

34.8MiB live, 34.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 x (-.f64 (.f64 (*.f64 x y) y) x))
cost-diff	0	#s(approx (* x (exp y)) (/.f64 (.f64 x (-.f64 (.f64 (.f64 x y) y) x)) (-.f64 (.f64 x y) x)))
cost-diff	128	(-.f64 (.f64 (.f64 x y) y) x)
cost-diff	1856	(/.f64 (.f64 x (-.f64 (.f64 (.f64 x y) y) x)) (-.f64 (.f64 x y) 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 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y))
cost-diff	0	#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))
cost-diff	0	#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y))))
cost-diff	0	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (+ (* y x) x) (*.f64 x y))
cost-diff	0	#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y)))
cost-diff	0	(*.f64 #s(literal 4 binary64) y)
cost-diff	0	(pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64)))
cost-diff	0	#s(approx (exp (* y y)) (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64))))
cost-diff	0	(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	286
0	64	286
1	107	286
2	185	286
3	394	286
4	804	278
5	1770	266
6	3542	266
7	7118	266
0	8664	254

Stop Event

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

Calls

Call 1

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

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

localize101.0ms (2.1%)

Memory

35.7MiB live, 35.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(.f64 (.f64 x y) y)
accuracy	1.911587432114533	(.f64 x (-.f64 (.f64 (*.f64 x y) y) x))
accuracy	23.28115590658862	#s(approx (* x (exp y)) (/.f64 (.f64 x (-.f64 (.f64 (.f64 x y) y) x)) (-.f64 (.f64 x y) x)))
accuracy	31.57562606772999	(/.f64 (.f64 x (-.f64 (.f64 (.f64 x y) y) x)) (-.f64 (.f64 x y) x))
accuracy	0.0625	(fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x)
accuracy	0.0859375	(*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))
accuracy	0.1796875	(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy	8.967000578352753	#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	0.04296875	(.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y))
accuracy	0.1796875	(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy	9.804294841141951	#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y))))
accuracy	31.24932822400426	#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))
accuracy	0	(*.f64 x y)
accuracy	23.28115590658862	#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y)))
accuracy	31.05494673717813	#s(approx (+ (* y x) x) (*.f64 x y))
accuracy	0	(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64)))))
accuracy	0	(*.f64 #s(literal 4 binary64) y)
accuracy	0	(exp.f64 (*.f64 #s(literal 4 binary64) y))
accuracy	0	#s(approx (exp (* y y)) (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64))))

Samples

73.0ms

256×

valid

Compiler

Compiled 400 to 69 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 25.0ms (47.4% of total)

ival-add: 7.0ms (13.3% of total)

ival-exp: 6.0ms (11.4% of total)

ival-pow: 5.0ms (9.5% of total)

const: 4.0ms (7.6% of total)

ival-div: 2.0ms (3.8% of total)

ival-sub: 2.0ms (3.8% of total)

exact: 1.0ms (1.9% of total)

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

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

series36.0ms (0.8%)

Memory

15.8MiB live, 15.8MiB allocated

Counts

22 → 432

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 y) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64))))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64))))) #<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 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64))))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 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)) (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64))))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 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)) (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64))))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (exp (* y y)) (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64)))) (patch #s(approx (exp (* y y)) (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt #s(approx (exp (* y y)) (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64)))) (patch #s(approx (exp (* y y)) (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 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)) (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64)))) (patch #s(approx (exp (* y y)) (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 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)) (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64)))) (patch #s(approx (exp (* y y)) (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64))) (patch (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64))) (patch (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) (taylor 0 y) (#s(alt (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64))) (patch (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 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 (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64))) (patch (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor 0 y) (#s(alt (.f64 #s(literal 4 binary64) y) (patch (.f64 #s(literal 4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor 0 y) (#s(alt (.f64 #s(literal 4 binary64) y) (patch (.f64 #s(literal 4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor 0 y) (#s(alt (.f64 #s(literal 4 binary64) y) (patch (.f64 #s(literal 4 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor 0 y) (#s(alt (.f64 #s(literal 4 binary64) y) (patch (.f64 #s(literal 4 binary64) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (.f64 x y))) (patch #s(approx ( x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (.f64 x y))) (patch #s(approx ( x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) #<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 x y))) (patch #s(approx ( x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) #<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 x y))) (patch #s(approx ( x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (+ (* y x) x) (.f64 x y)) (patch #s(approx (+ ( y x) x) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt #s(approx (+ (* y x) x) (.f64 x y)) (patch #s(approx (+ ( y x) x) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt #s(approx (+ (* y x) x) (.f64 x y)) (patch #s(approx (+ ( y x) x) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt #s(approx (+ (* y x) x) (.f64 x y)) (patch #s(approx (+ ( y x) x) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y))))) (patch (.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y))))) #<representation binary64>) () ())) ())
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#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64))))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64))))) #<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 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64))))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64))))) #<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 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64))))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64))))) #<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 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64))))) (patch (.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (.f64 x y))) (patch #s(approx ( x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (.f64 x y))) (patch #s(approx ( x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (.f64 x y))) (patch #s(approx ( x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (.f64 x y))) (patch #s(approx ( x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* y x) x) (.f64 x y)) (patch #s(approx (+ ( y x) x) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* y x) x) (.f64 x y)) (patch #s(approx (+ ( y x) x) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* y x) x) (.f64 x y)) (patch #s(approx (+ ( y x) x) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* y x) x) (.f64 x y)) (patch #s(approx (+ ( y x) x) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x 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 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y))))) (patch (.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y))))) #<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 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y))))) (patch (.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y))))) #<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 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y))))) (patch (.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y))))) #<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 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y))))) (patch (.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y))))) #<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 x y) y) x)) (-.f64 (.f64 x y) x)) (patch (/.f64 (.f64 x (-.f64 (.f64 (.f64 x y) y) x)) (-.f64 (.f64 x y) 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 x y) y) x)) (-.f64 (.f64 x y) x)) (patch (/.f64 (.f64 x (-.f64 (.f64 (.f64 x y) y) x)) (-.f64 (.f64 x y) 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 x y) y) x)) (-.f64 (.f64 x y) x)) (patch (/.f64 (.f64 x (-.f64 (.f64 (.f64 x y) y) x)) (-.f64 (.f64 x y) 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 x y) y) x)) (-.f64 (.f64 x y) x)) (patch (/.f64 (.f64 x (-.f64 (.f64 (.f64 x y) y) x)) (-.f64 (.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (pow y 2))))) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 x y) y) x) (patch (-.f64 (.f64 (.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (pow y 2))))) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 x y) y) x) (patch (-.f64 (.f64 (.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (pow y 2))))) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 x y) y) x) (patch (-.f64 (.f64 (.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (pow y 2))))) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 x y) y) x) (patch (-.f64 (.f64 (.f64 x y) 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 x y) y) x)) (-.f64 (.f64 x y) x))) (patch #s(approx (* x (exp y)) (/.f64 (.f64 x (-.f64 (.f64 (.f64 x y) y) x)) (-.f64 (.f64 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 x y) y) x)) (-.f64 (.f64 x y) x))) (patch #s(approx (* x (exp y)) (/.f64 (.f64 x (-.f64 (.f64 (.f64 x y) y) x)) (-.f64 (.f64 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 x y) y) x)) (-.f64 (.f64 x y) x))) (patch #s(approx (* x (exp y)) (/.f64 (.f64 x (-.f64 (.f64 (.f64 x y) y) x)) (-.f64 (.f64 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 x y) y) x)) (-.f64 (.f64 x y) x))) (patch #s(approx (* x (exp y)) (/.f64 (.f64 x (-.f64 (.f64 (.f64 x y) y) x)) (-.f64 (.f64 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 x y) y) x)) (patch (.f64 x (-.f64 (.f64 (.f64 x y) 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 x y) y) x)) (patch (.f64 x (-.f64 (.f64 (.f64 x y) 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 x y) y) x)) (patch (.f64 x (-.f64 (.f64 (.f64 x y) 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 x y) y) x)) (patch (.f64 x (-.f64 (.f64 (.f64 x y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((* x (exp (* y y))) (exp (* y y)) (pow (exp (* 4 y)) (* y 1/4)) (* 4 y) (* x (exp y)) (+ (* y x) x) (* x y) (* 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 (- (* (* x y) y) x)) (- (* x y) x)) (- (* (* x y) y) x) (* x (exp y)) (* x (- (* (* x y) y) x)) (exp (* 4 y)) (+ (* 1/6 y) 1/2) (* (* x y) y))
4.0ms	y	@	0	((* x (exp (* y y))) (exp (* y y)) (pow (exp (* 4 y)) (* y 1/4)) (* 4 y) (* x (exp y)) (+ (* y x) x) (* x y) (* 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 (- (* (* x y) y) x)) (- (* x y) x)) (- (* (* x y) y) x) (* x (exp y)) (* x (- (* (* x y) y) x)) (exp (* 4 y)) (+ (* 1/6 y) 1/2) (* (* x y) y))
4.0ms	x	@	inf	((* x (exp (* y y))) (exp (* y y)) (pow (exp (* 4 y)) (* y 1/4)) (* 4 y) (* x (exp y)) (+ (* y x) x) (* x y) (* 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 (- (* (* x y) y) x)) (- (* x y) x)) (- (* (* x y) y) x) (* x (exp y)) (* x (- (* (* x y) y) x)) (exp (* 4 y)) (+ (* 1/6 y) 1/2) (* (* x y) y))
3.0ms	y	@	-inf	((* x (exp (* y y))) (exp (* y y)) (pow (exp (* 4 y)) (* y 1/4)) (* 4 y) (* x (exp y)) (+ (* y x) x) (* x y) (* 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 (- (* (* x y) y) x)) (- (* x y) x)) (- (* (* x y) y) x) (* x (exp y)) (* x (- (* (* x y) y) x)) (exp (* 4 y)) (+ (* 1/6 y) 1/2) (* (* x y) y))
3.0ms	x	@	0	((* x (exp (* y y))) (exp (* y y)) (pow (exp (* 4 y)) (* y 1/4)) (* 4 y) (* x (exp y)) (+ (* y x) x) (* x y) (* 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 (- (* (* x y) y) x)) (- (* x y) x)) (- (* (* x y) y) x) (* x (exp y)) (* x (- (* (* x y) y) x)) (exp (* 4 y)) (+ (* 1/6 y) 1/2) (* (* x y) y))

simplify171.0ms (3.6%)

Memory

52.4MiB live, 52.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	2894
1	663	2708
2	2034	2677
3	5008	2660
0	8504	2385

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 423

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)))))))
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 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 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
(+ 1 (* 4 y))
(+ 1 (* y (+ 4 (* 8 y))))
(+ 1 (* y (+ 4 (* y (+ 8 (* 32/3 y))))))
1/2
(+ 1/2 (* 1/6 y))
(+ 1/2 (* 1/6 y))
(+ 1/2 (* 1/6 y))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (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))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 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 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)))
(exp (* 4 y))
(exp (* 4 y))
(exp (* 4 y))
(exp (* 4 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 (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (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))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 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 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))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ 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)))
(exp (* 4 y))
(exp (* 4 y))
(exp (* 4 y))
(exp (* 4 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 (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (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 (+ 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 (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 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 (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 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))
(* -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)))))
(* x (exp y))
(* 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)))))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (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))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (*.f64 y y) x)
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64))) (fma.f64 (*.f64 y y) x x))
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64)))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (fma.f64 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 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64)))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64)))
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
x
(+ x (* x y))
(fma.f64 y x x)
(+ x (* y (+ x (* 1/2 (* x y)))))
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) 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 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)))))
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) 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))
(* 1/2 (pow y 2))
(.f64 #s(literal 1/2 binary64) (.f64 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)
(* (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 y x x)
(+ x (* y (+ x (* 1/2 (* x y)))))
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) y x)
x
(+ x (* x y))
(fma.f64 y x x)
(+ x (* y (+ x (* 1/2 (* x y)))))
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) 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 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x)
(+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* 1/6 (* x y)) (* 1/2 x))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x)
(+ (* 1/6 (* x y)) (* 1/2 x))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x)
(+ (* 1/6 (* x y)) (* 1/2 x))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) 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)
(* -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 y x x)
(+ x (* y (+ x (* 1/2 (* x y)))))
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) 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
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(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) y x)
(* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) y x)
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(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) y x)
(* x (+ 1 (* y (+ 1/2 (* 1/6 y)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x)
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rewrite154.0ms (3.2%)

Memory

57.0MiB live, 57.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	252
0	64	252
1	219	232
2	1384	226
0	8387	216

Stop Event

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

Counts

22 → 474

Calls

Call 1

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

Outputs
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eval125.0ms (2.6%)

Memory: 81.8MiB live, 81.8MiB allocated
Compiler: Compiled 19 249 to 2 496 computations (87% saved)

prune56.0ms (1.2%)

Memory

54.6MiB live, 54.6MiB allocated

Pruning

27 alts after pruning (18 fresh and 9 done)

	Pruned	Kept	Total
New	985	11	996
Fresh	6	7	13
Picked	2	3	5
Done	1	6	7
Total	994	27	1 021

Accuracy

100.0%

Counts

1 021 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.6%	(.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)
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	99.3%	(*.f64 x (exp.f64 y))
✓	100.0%	(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64)))))
✓	100.0%	(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
	99.3%	(.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)))
✓	51.7%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
	88.8%	(.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y) (+.f64 #s(literal 1 binary64) y))))
	88.8%	(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y #s(literal 1 binary64))))
	88.8%	(.f64 x #s(approx (exp y) (+.f64 y (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)))))
	42.1%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
	44.2%	(.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 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))))
✓	41.6%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))))
	41.4%	(.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) (.f64 #s(literal 1/6 binary64) y)) (.f64 y y)))))
	89.0%	#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (*.f64 y y) x))
✓	77.5%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x))
	83.7%	#s(approx (* x (exp (* y y))) (+.f64 (.f64 x (.f64 y y)) x))
	36.4%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x)))
	85.9%	#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) x) y x))
	85.9%	#s(approx (* x (exp y)) (fma.f64 (fma.f64 (.f64 x #s(approx (+ ( 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y))) y x) y x))
	85.9%	#s(approx (* x (exp y)) (fma.f64 (fma.f64 #s(approx (* x (+ (* 1/6 y) 1/2)) (.f64 (.f64 y x) #s(literal 1/6 binary64))) y x) y x))
	86.6%	#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x))) y x))
✓	63.6%	#s(approx (* x (exp y)) (fma.f64 y x x))
	25.3%	#s(approx (* x (exp y)) (/.f64 (.f64 x #s(approx (- ( (* x y) y) x) (.f64 (.f64 y y) x))) (-.f64 (*.f64 x y) x)))
	63.6%	#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
	39.9%	#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) y)))
✓	16.9%	#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y)))

Compiler

Compiled 737 to 395 computations (46.4% saved)

regimes55.0ms (1.2%)

Memory

21.9MiB live, 21.9MiB allocated

Counts

39 → 1

Calls

Call 1

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

Outputs
(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64)))))

Calls

5 calls:

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

regimes53.0ms (1.1%)

Memory

20.9MiB live, 20.9MiB allocated

Counts

36 → 1

Calls

Call 1

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

11.0ms	x
11.0ms	y
10.0ms	(.f64 x (exp.f64 (.f64 y y)))
10.0ms	(*.f64 y y)
8.0ms	(exp.f64 (*.f64 y y))

Results

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

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes51.0ms (1.1%)

Memory

20.5MiB live, 20.5MiB allocated

Counts

35 → 1

Calls

Call 1

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

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

Calls

5 calls:

11.0ms	x
11.0ms	y
10.0ms	(.f64 x (exp.f64 (.f64 y y)))
9.0ms	(*.f64 y y)
8.0ms	(exp.f64 (*.f64 y y))

Results

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

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes50.0ms (1%)

Memory

20.2MiB live, 20.2MiB allocated

Counts

34 → 1

Calls

Call 1

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

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

Calls

5 calls:

11.0ms	x
10.0ms	y
10.0ms	(.f64 x (exp.f64 (.f64 y y)))
9.0ms	(*.f64 y y)
8.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`y`
99.3%	1	`(.f64 x (exp.f64 (.f64 y y)))`
99.3%	1	`(exp.f64 (*.f64 y y))`
99.3%	1	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes49.0ms (1%)

Memory

19.8MiB live, 19.8MiB allocated

Counts

33 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`y`
99.3%	1	`(.f64 x (exp.f64 (.f64 y y)))`
99.3%	1	`(exp.f64 (*.f64 y y))`
99.3%	1	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes48.0ms (1%)

Memory

19.5MiB live, 19.5MiB allocated

Counts

32 → 2

Calls

Call 1

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

Outputs

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
89.0%	1	`x`
91.9%	2	`y`
91.5%	2	`(.f64 x (exp.f64 (.f64 y y)))`
91.5%	2	`(exp.f64 (*.f64 y y))`
91.9%	2	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes43.0ms (0.9%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

28 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
89.0%	1	`x`
89.0%	1	`(.f64 x (exp.f64 (.f64 y y)))`
89.0%	1	`(exp.f64 (*.f64 y y))`
89.0%	1	`y`
89.0%	1	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes38.0ms (0.8%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

24 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
88.8%	1	`y`
88.8%	1	`(*.f64 y y)`
88.8%	1	`x`
88.8%	1	`(.f64 x (exp.f64 (.f64 y y)))`
88.8%	1	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes23.0ms (0.5%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

5.0ms	x
5.0ms	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
88.9%	2	`(.f64 x (exp.f64 (.f64 y y)))`
88.9%	2	`(exp.f64 (*.f64 y y))`
86.6%	1	`x`
88.9%	2	`y`
88.9%	2	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes13.0ms (0.3%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

(*.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) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y)))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
88.9%	2	`y`
88.9%	2	`(exp.f64 (*.f64 y y))`
88.9%	2	`(*.f64 y y)`

Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes19.0ms (0.4%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
83.7%	1	`x`
83.7%	1	`(.f64 x (exp.f64 (.f64 y y)))`
83.7%	1	`y`
83.7%	1	`(exp.f64 (*.f64 y y))`
83.7%	1	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes16.0ms (0.3%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
77.5%	1	`x`
83.7%	2	`(.f64 x (exp.f64 (.f64 y y)))`
83.7%	2	`(exp.f64 (*.f64 y y))`
83.7%	2	`y`
83.7%	2	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes12.0ms (0.2%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 14 to 14 computations (0% saved)

regimes14.0ms (0.3%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
63.6%	1	`x`
63.6%	1	`(.f64 x (exp.f64 (.f64 y y)))`
63.6%	1	`(exp.f64 (*.f64 y y))`
63.6%	1	`y`
63.6%	1	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes10.0ms (0.2%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

2 → 2

Calls

Call 1

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
51.7%	1	`x`
63.6%	2	`(*.f64 y y)`
63.6%	2	`y`
63.6%	2	`(.f64 x (exp.f64 (.f64 y y)))`
63.6%	2	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes8.0ms (0.2%)

Memory

6.6MiB live, 6.6MiB 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 x y)))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
16.9%	1	`x`
16.9%	1	`(.f64 x (exp.f64 (.f64 y y)))`
16.9%	1	`(*.f64 y y)`
16.9%	1	`y`
16.9%	1	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0474600975523098e+154	3.505272806150802e+162

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.36654601930752173	371.90959247536745

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.36654601930752173	371.90959247536745

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.461244784750457e+43	1.735169308945664e+44

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.36654601930752173	371.90959247536745

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.442742793046881	3.298251578359256e+161

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify32.0ms (0.7%)

Memory

19.3MiB live, 19.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	389
1	122	389
2	125	389
3	126	389
4	127	389

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64)))))
(.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 y #s(literal -1 binary64))) y)))
(*.f64 x (exp.f64 y))
(if (<=.f64 (.f64 y y) #s(literal 20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (.f64 y 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 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (*.f64 y y) x))
(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y #s(literal 1 binary64))))
(if (<=.f64 (.f64 y y) #s(literal 1/2 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 x y) y x)) (.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y))))))
(if (<=.f64 (.f64 y y) #s(literal 1/2 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 x y) y x)) (.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) (.f64 #s(literal 1/6 binary64) y)) (.f64 y y))))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(if (<=.f64 (.f64 y y) #s(literal 100000000000000008821361405306422640701865984 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 x y) y x)) #s(approx ( x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x))))
(if (<=.f64 (.f64 y y) #s(literal 1/2 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x))))
#s(approx (* x (exp y)) (fma.f64 y x x))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))))
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y)))

Outputs
(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 #s(literal 4 binary64) y)) (.f64 y #s(literal 1/4 binary64)))))
(.f64 #s(approx (exp ( y y)) (pow.f64 (exp.f64 (.f64 y #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) y))) x)
(.f64 x #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)))
(.f64 #s(approx (exp ( y y)) (pow.f64 (exp.f64 y) y)) x)
(.f64 x (exp.f64 (.f64 y y)))
(.f64 (exp.f64 (.f64 y y)) x)
(.f64 x #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)))
(.f64 #s(approx (exp ( y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)) x)
(*.f64 x (exp.f64 y))
(*.f64 (exp.f64 y) x)
(if (<=.f64 (.f64 y y) #s(literal 20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (.f64 y 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 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))))
(if (<=.f64 (.f64 y y) #s(literal 20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (.f64 y y) 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 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))) x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (*.f64 y y) x))
(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y #s(literal 1 binary64))))
(.f64 #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))) y #s(literal 1 binary64))) x)
(if (<=.f64 (.f64 y y) #s(literal 1/2 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 x y) y x)) (.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y))))))
(if (<=.f64 (.f64 y y) #s(literal 1/2 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))) x))
(if (<=.f64 (.f64 y y) #s(literal 1/2 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 x y) y x)) (.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) (.f64 #s(literal 1/6 binary64) y)) (.f64 y y))))))
(if (<=.f64 (.f64 y y) #s(literal 1/2 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 #s(approx (+ ( 1/6 y) 1/2) (.f64 #s(literal 1/6 binary64) y)) (.f64 y y)))) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(if (<=.f64 (.f64 y y) #s(literal 100000000000000008821361405306422640701865984 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 x y) y x)) #s(approx ( x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x))))
(if (<=.f64 (.f64 y y) #s(literal 100000000000000008821361405306422640701865984 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) #s(approx ( x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x))))
(if (<=.f64 (.f64 y y) #s(literal 1/2 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x))))
(if (<=.f64 (.f64 y y) #s(literal 1/2 binary64)) (.f64 #s(approx (exp (* y y)) #s(literal 1 binary64)) x) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x))))
#s(approx (* x (exp y)) (fma.f64 y x x))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) (.f64 #s(approx (exp (* y y)) #s(literal 1 binary64)) x) #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y)))
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))

soundness1.6s (34.2%)

Memory

24.7MiB live, 24.7MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	186
0	54	166
1	173	142
2	985	142
0	8463	142
0	44	252
0	64	252
1	219	232
2	1384	226
0	8387	216
0	5	13
0	8	13
1	13	13
2	26	13
3	69	13
4	294	5
0	2666	5
0	16	66
0	24	66
1	58	66
2	240	66
3	1954	66
0	8248	66
0	150	1898
1	466	1898
2	1210	1820
3	3349	1814
4	6782	1798
0	8369	1639
0	202	2894
1	663	2708
2	2034	2677
3	5008	2660
0	8504	2385
0	67	1058
1	208	1058
2	525	1038
3	1321	1032
4	2247	1032
5	6532	1032
0	8120	964
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×	fuel
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 530 to 335 computations (36.8% saved)

preprocess174.0ms (3.6%)

Memory

96.3MiB live, 96.3MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 820 to 506 computations (38.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	33	215
0	54	195
1	82	195
2	105	195
3	172	195
4	337	195
5	473	195
6	501	195
7	507	195
0	507	195

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

Iter	Nodes	Cost
0	33	215
0	54	195
1	82	195
2	105	195
3	172	195
4	337	195
5	473	195
6	501	195
7	507	195
0	507	195

start0.0ms (0%)

analyze0.0ms (0%)

sample486.0ms (10.2%)

explain61.0ms (1.3%)

preprocess30.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0.1%)

localize15.0ms (0.3%)

series4.0ms (0.1%)

simplify48.0ms (1%)

rewrite40.0ms (0.8%)

eval5.0ms (0.1%)

prune2.0ms (0%)

simplify5.0ms (0.1%)

localize33.0ms (0.7%)

series10.0ms (0.2%)

simplify154.0ms (3.2%)

rewrite127.0ms (2.7%)

eval38.0ms (0.8%)

prune13.0ms (0.3%)

simplify13.0ms (0.3%)

localize71.0ms (1.5%)

series19.0ms (0.4%)

simplify167.0ms (3.5%)

rewrite153.0ms (3.2%)

eval113.0ms (2.4%)

prune46.0ms (1%)

simplify139.0ms (2.9%)

localize101.0ms (2.1%)

series36.0ms (0.8%)

simplify171.0ms (3.6%)

rewrite154.0ms (3.2%)

eval125.0ms (2.6%)

prune56.0ms (1.2%)

regimes55.0ms (1.2%)

regimes53.0ms (1.1%)

regimes51.0ms (1.1%)

regimes50.0ms (1%)

regimes49.0ms (1%)

regimes48.0ms (1%)

regimes43.0ms (0.9%)

regimes38.0ms (0.8%)

regimes23.0ms (0.5%)

regimes13.0ms (0.3%)

regimes19.0ms (0.4%)

regimes16.0ms (0.3%)

regimes12.0ms (0.2%)

regimes14.0ms (0.3%)

regimes10.0ms (0.2%)

regimes8.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify32.0ms (0.7%)

soundness1.6s (34.2%)

preprocess174.0ms (3.6%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	33	215
0	54	195
1	82	195
2	105	195
3	172	195
4	337	195
5	473	195
6	501	195
7	507	195
0	507	195