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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample871.0ms (2.9%)

Memory

8.9MiB live, 815.1MiB allocated

Samples

632.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 257.0ms

ival-mult: 141.0ms (54.9% of total)

ival-exp: 107.0ms (41.6% of total)

ival-true: 6.0ms (2.3% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain94.0ms (0.3%)

Memory

-16.5MiB live, 60.2MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

36.0ms

512×

valid

Compiler

Compiled 40 to 19 computations (52.5% saved)

Precisions

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

ival-mult: 7.0ms (62.2% of total)

ival-exp: 4.0ms (35.6% of total)

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

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

preprocess37.0ms (0.1%)

Memory

18.5MiB live, 53.1MiB allocated

Algorithm

1×	egg-herbie

Rules

88×	`exp-prod`
64×	`distribute-lft-neg-in`
64×	`div-sub`
60×	`associate-r`
54×	`distribute-neg-frac2`

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

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

6×	`lower-*.f32`
4×	`lift-*.f64`
4×	`lower-exp.f32`
2×	`*-commutative`
2×	`lift-exp.f64`

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

localize22.0ms (0.1%)

Memory

-17.4MiB live, 30.2MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

18.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 8.0ms (78.7% of total)

ival-exp: 2.0ms (19.7% of total)

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

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

series5.0ms (0%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

3 → 48

Calls

Call 1

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

Inputs

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

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

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

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

Calls

6 calls:

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

simplify58.0ms (0.2%)

Memory

15.2MiB live, 51.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2 706×	`lower-fma.f64`
2 706×	`lower-fma.f32`
1 166×	`lower-*.f64`
1 166×	`lower-*.f32`
792×	`associate-r`

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)

rewrite91.0ms (0.3%)

Memory

-8.7MiB live, 112.6MiB allocated

Rules

178×	`frac-add`
148×	`associate-r`
134×	`associate-l`
108×	`associate-*r/`
102×	`frac-times`

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>

eval7.0ms (0%)

Memory: -27.5MiB live, 10.3MiB allocated
Compiler: Compiled 383 to 44 computations (88.5% saved)

prune4.0ms (0%)

Memory

10.0MiB live, 10.0MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	51	3	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	4	55

Accuracy

100.0%

Counts

55 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
▶	98.3%	(*.f64 x (exp.f64 y))
▶	53.7%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
▶	81.5%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))

Compiler

Compiled 21 to 19 computations (9.5% saved)

simplify6.0ms (0%)

Memory

13.0MiB live, 13.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

82×	`lower-*.f32`
76×	`lower-*.f64`
26×	`associate-r`
26×	`associate-l`
22×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize29.0ms (0.1%)

Memory

12.6MiB live, 49.6MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 y)
accuracy	0.01171875	(*.f64 x (exp.f64 y))
accuracy	0.00390625	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
accuracy	29.81662054361462	#s(approx (exp (* y y)) #s(literal 1 binary64))
accuracy	0	(*.f64 y y)
accuracy	2.877799213416142	(fma.f64 (*.f64 y y) x x)
accuracy	14.64220075339547	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))

Samples

21.0ms

256×

valid

Compiler

Compiled 40 to 12 computations (70% saved)

Precisions

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

ival-mult: 6.0ms (54.4% of total)

ival-exp: 3.0ms (27.2% of total)

ival-add: 1.0ms (9.1% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

7 → 132

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

simplify362.0ms (1.2%)

Memory

5.7MiB live, 151.0MiB allocated

Algorithm

1×	egg-herbie

Rules

22 052×	`lower-fma.f64`
22 052×	`lower-fma.f32`
4 470×	`lower-*.f64`
4 470×	`lower-*.f32`
2 168×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	752
1	208	752
2	524	742
3	1301	738
4	2228	738
5	6541	738
0	8118	688

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 128

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 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))))))
(* 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 y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(exp y)
(exp y)
(exp y)
(exp y)
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* 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 y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(exp y)
(exp y)
(exp y)
(exp y)
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))

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

rewrite214.0ms (0.7%)

Memory

-34.6MiB live, 261.8MiB allocated

Rules

10 016×	`lower-fma.f32`
10 014×	`lower-fma.f64`
4 370×	`lower-/.f64`
4 370×	`lower-/.f32`
3 978×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

7 → 188

Calls

Call 1

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

Outputs
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eval33.0ms (0.1%)

Memory: 29.6MiB live, 104.7MiB allocated
Compiler: Compiled 6 946 to 739 computations (89.4% saved)

prune13.0ms (0%)

Memory

-6.2MiB live, 38.9MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	311	5	316
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	311	9	320

Accuracy

100.0%

Counts

320 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	98.3%	(*.f64 x (exp.f64 y))
✓	53.7%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
▶	87.6%	(*.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))))
▶	80.8%	(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
✓	81.5%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
▶	77.1%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
▶	31.9%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x)))
▶	64.4%	#s(approx (* x (exp y)) (fma.f64 y x x))

Compiler

Compiled 105 to 85 computations (19% saved)

simplify14.0ms (0%)

Memory

-18.5MiB live, 19.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

482×	`lower-fma.f32`
468×	`lower-fma.f64`
254×	`lower-*.f32`
244×	`lower-*.f64`
140×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	173
0	49	171
1	78	171
2	102	171
3	178	171
4	293	171
5	378	171
6	395	171
0	395	171

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize71.0ms (0.2%)

Memory

18.8MiB live, 140.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
accuracy	0.00390625	(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
accuracy	0.01171875	(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
accuracy	15.778593378072866	#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy	0	(*.f64 y x)
accuracy	0.05859375	(fma.f64 (*.f64 y x) y x)
accuracy	14.64220075339547	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
accuracy	0	(*.f64 y y)
accuracy	6.829328293286127	(.f64 (.f64 y y) x)
accuracy	14.64220075339547	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x)))
accuracy	32.44955202334027	#s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x))
accuracy	0	(fma.f64 y x x)
accuracy	22.41032017587368	#s(approx (* x (exp y)) (fma.f64 y x x))
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	0.0625	(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
accuracy	0.13671875	(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy	10.254500295280728	#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)))

Samples

55.0ms

256×

valid

Compiler

Compiled 116 to 28 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 15.0ms (36.9% of total)

ival-add: 9.0ms (22.1% of total)

const: 9.0ms (22.1% of total)

ival-exp: 7.0ms (17.2% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.1%)

Memory

-7.6MiB live, 29.9MiB allocated

Counts

18 → 336

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	y	@	inf	((* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp y)) (+ (* y x) x) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x) (* x (exp y)) (exp y) (+ (* (+ (* 1/2 y) 1) y) 1) (+ (* 1/2 y) 1) (+ (* 1/6 y) 1/2))
2.0ms	y	@	-inf	((* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp y)) (+ (* y x) x) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x) (* x (exp y)) (exp y) (+ (* (+ (* 1/2 y) 1) y) 1) (+ (* 1/2 y) 1) (+ (* 1/6 y) 1/2))
2.0ms	x	@	-inf	((* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp y)) (+ (* y x) x) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x) (* x (exp y)) (exp y) (+ (* (+ (* 1/2 y) 1) y) 1) (+ (* 1/2 y) 1) (+ (* 1/6 y) 1/2))
1.0ms	x	@	inf	((* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp y)) (+ (* y x) x) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x) (* x (exp y)) (exp y) (+ (* (+ (* 1/2 y) 1) y) 1) (+ (* 1/2 y) 1) (+ (* 1/6 y) 1/2))
1.0ms	y	@	0	((* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp y)) (+ (* y x) x) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x) (* x (exp y)) (exp y) (+ (* (+ (* 1/2 y) 1) y) 1) (+ (* 1/2 y) 1) (+ (* 1/6 y) 1/2))

simplify190.0ms (0.6%)

Memory

0.9MiB live, 234.0MiB allocated

Algorithm

1×	egg-herbie

Rules

13 738×	`lower-fma.f64`
13 738×	`lower-fma.f32`
4 350×	`lower-*.f64`
4 350×	`lower-*.f32`
2 130×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	1802
1	353	1794
2	957	1776
3	3574	1776
4	7207	1776
0	8198	1609

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 328

Calls

Call 1

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

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

rewrite226.0ms (0.7%)

Memory

-18.5MiB live, 226.0MiB allocated

Rules

6 768×	`lower-fma.f32`
6 754×	`lower-fma.f64`
4 748×	`lower-*.f32`
4 738×	`lower-*.f64`
4 102×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	158
0	49	156
1	172	156
2	1035	156
0	8252	156

Stop Event

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

Counts

18 → 372

Calls

Call 1

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

Outputs
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eval304.0ms (1%)

Memory: 28.0MiB live, 146.6MiB allocated
Compiler: Compiled 12 000 to 1 862 computations (84.5% saved)

prune193.0ms (0.6%)

Memory

-4.0MiB live, 72.7MiB allocated

Pruning

19 alts after pruning (10 fresh and 9 done)

	Pruned	Kept	Total
New	690	10	700
Fresh	0	0	0
Picked	0	5	5
Done	0	4	4
Total	690	19	709

Accuracy

100.0%

Counts

709 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	98.3%	(*.f64 x (exp.f64 y))
✓	53.7%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
✓	87.6%	(*.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))))
✓	80.8%	(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
	88.1%	(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y #s(literal 1 binary64))))
	80.8%	(.f64 x #s(approx (exp y) (+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y) #s(literal 1 binary64))))
▶	39.3%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
▶	38.7%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
▶	89.1%	#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64) x) (*.f64 y y) x))
✓	81.5%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
✓	77.1%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
✓	31.9%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x)))
▶	27.5%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y x) y)))
	83.2%	#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
✓	64.4%	#s(approx (* x (exp y)) (fma.f64 y x x))
	51.4%	#s(approx (* x (exp y)) (/.f64 (.f64 x (-.f64 (.f64 (.f64 y y) x) x)) (-.f64 (.f64 y x) x)))
	64.4%	#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
▶	16.1%	#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 281 to 218 computations (22.4% saved)

simplify22.0ms (0.1%)

Memory

-12.7MiB live, 26.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

854×	`lower-fma.f32`
846×	`lower-fma.f64`
548×	`lower-*.f32`
530×	`lower-*.f64`
308×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	309
0	58	309
1	92	309
2	135	309
3	284	309
4	585	309
5	791	309
6	815	309
0	815	295

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize4.9s (15.9%)

Memory

18.2MiB live, 63.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0625	(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
accuracy	0.13671875	(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy	10.254500295280728	#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)))
accuracy	32.033688974565216	#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))
accuracy	0.078125	(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)
accuracy	0.13671875	(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy	10.254500295280728	#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))
accuracy	32.661345442100966	#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))
accuracy	0	(*.f64 y x)
accuracy	0.13671875	(.f64 (.f64 y x) y)
accuracy	14.64220075339547	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y x) y)))
accuracy	32.44955202334027	#s(approx (+ (* (* y y) x) x) (.f64 (.f64 y x) y))
accuracy	0	(*.f64 y x)
accuracy	22.41032017587368	#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
accuracy	32.40389982916019	#s(approx (+ (* y x) x) (*.f64 y x))
accuracy	0.0078125	(fma.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64) x)
accuracy	0.02734375	(fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64) x) (*.f64 y y) x)
accuracy	6.829328293286127	(.f64 (.f64 y y) x)
accuracy	6.956446995717306	#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64) x) (*.f64 y y) x))

Samples

4.8s

256×

valid

Compiler

Compiled 173 to 28 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.8s

ival-exp: 4.8s (99.4% of total)

ival-mult: 16.0ms (0.3% of total)

ival-add: 7.0ms (0.1% of total)

const: 3.0ms (0.1% of total)

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

exact: 0.0ms (0% of total)

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

series9.4s (30.7%)

Memory

-14.5MiB live, 23.7MiB allocated

Counts

22 → 408

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
9.4s	x	@	0	((* x (exp (* y y))) (+ (* (* (* y y) x) 1/2) x) (* (* y y) x) (* y y) (* x (exp y)) (+ (* y x) x) (* y x) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y 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)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) (+ (* (+ (* (* (* y y) x) 1/2) x) (* y y)) x) (+ (* 1/6 y) 1/2) (* (+ (* 1/6 y) 1/2) y) (+ (* (+ (* 1/6 y) 1/2) y) 1))
2.0ms	x	@	-inf	((* x (exp (* y y))) (+ (* (* (* y y) x) 1/2) x) (* (* y y) x) (* y y) (* x (exp y)) (+ (* y x) x) (* y x) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y 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)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) (+ (* (+ (* (* (* y y) x) 1/2) x) (* y y)) x) (+ (* 1/6 y) 1/2) (* (+ (* 1/6 y) 1/2) y) (+ (* (+ (* 1/6 y) 1/2) y) 1))
2.0ms	y	@	-inf	((* x (exp (* y y))) (+ (* (* (* y y) x) 1/2) x) (* (* y y) x) (* y y) (* x (exp y)) (+ (* y x) x) (* y x) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y 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)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) (+ (* (+ (* (* (* y y) x) 1/2) x) (* y y)) x) (+ (* 1/6 y) 1/2) (* (+ (* 1/6 y) 1/2) y) (+ (* (+ (* 1/6 y) 1/2) y) 1))
2.0ms	y	@	inf	((* x (exp (* y y))) (+ (* (* (* y y) x) 1/2) x) (* (* y y) x) (* y y) (* x (exp y)) (+ (* y x) x) (* y x) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y 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)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) (+ (* (+ (* (* (* y y) x) 1/2) x) (* y y)) x) (+ (* 1/6 y) 1/2) (* (+ (* 1/6 y) 1/2) y) (+ (* (+ (* 1/6 y) 1/2) y) 1))
2.0ms	x	@	inf	((* x (exp (* y y))) (+ (* (* (* y y) x) 1/2) x) (* (* y y) x) (* y y) (* x (exp y)) (+ (* y x) x) (* y x) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y 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)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) (+ (* (+ (* (* (* y y) x) 1/2) x) (* y y)) x) (+ (* 1/6 y) 1/2) (* (+ (* 1/6 y) 1/2) y) (+ (* (+ (* 1/6 y) 1/2) y) 1))

simplify9.4s (30.8%)

Memory

27.7MiB live, 101.5MiB allocated

Algorithm

1×	egg-herbie

Rules

16 530×	`lower-fma.f64`
16 530×	`lower-fma.f32`
3 912×	`lower-*.f64`
3 912×	`lower-*.f32`
2 200×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	2512
1	417	2512
2	1116	2462
3	3270	2458
4	6921	2458
0	8119	2225

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 398

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

rewrite343.0ms (1.1%)

Memory

10.3MiB live, 163.0MiB allocated

Rules

6 890×	`lower-fma.f32`
6 882×	`lower-fma.f64`
4 866×	`lower-*.f32`
4 848×	`lower-*.f64`
4 360×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	286
0	58	286
1	173	286
2	1082	286
0	8262	276

Stop Event

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

Counts

22 → 307

Calls

Call 1

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

Outputs
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eval398.0ms (1.3%)

Memory: -9.1MiB live, 195.6MiB allocated
Compiler: Compiled 14 462 to 2 057 computations (85.8% saved)

prune285.0ms (0.9%)

Memory

-7.5MiB live, 107.5MiB allocated

Pruning

27 alts after pruning (14 fresh and 13 done)

	Pruned	Kept	Total
New	796	9	805
Fresh	0	5	5
Picked	1	4	5
Done	0	9	9
Total	797	27	824

Accuracy

100.0%

Counts

824 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	98.3%	(*.f64 x (exp.f64 y))
✓	53.7%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
✓	87.6%	(*.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))))
✓	80.8%	(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
	88.1%	(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y #s(literal 1 binary64))))
	80.8%	(.f64 x #s(approx (exp y) (+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y) #s(literal 1 binary64))))
	13.0%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)) (.f64 y y)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y) y)))))
	40.5%	(.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))))))
✓	39.3%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
	38.7%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y)))))
✓	38.7%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
	38.4%	(.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y) y))))
	89.1%	#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 (.f64 y x) y) #s(literal 1/2 binary64) x) (*.f64 y y) x))
	89.1%	#s(approx (* x (exp (* y y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x))) (*.f64 y y) x))
	89.1%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) x) y) y x))
✓	81.5%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
✓	77.1%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
	88.9%	#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* (* (* y y) x) 1/2) x) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x))) (.f64 y y) x))
	89.0%	#s(approx (* x (exp (* y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (*.f64 y y) x))))
✓	31.9%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x)))
✓	27.5%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y x) y)))
	83.2%	#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
✓	64.4%	#s(approx (* x (exp y)) (fma.f64 y x x))
	51.4%	#s(approx (* x (exp y)) (/.f64 (.f64 x (-.f64 (.f64 (.f64 y y) x) x)) (-.f64 (.f64 y x) x)))
	64.4%	#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
✓	16.1%	#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 644 to 340 computations (47.2% saved)

regimes197.0ms (0.6%)

Memory

-23.4MiB live, 41.1MiB allocated

Counts

28 → 1

Calls

Call 1

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

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

Calls

5 calls:

162.0ms	(exp.f64 (*.f64 y y))
9.0ms	x
8.0ms	y
8.0ms	(.f64 x (exp.f64 (.f64 y y)))
8.0ms	(*.f64 y y)

Results

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

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes168.0ms (0.5%)

Memory

2.3MiB live, 79.7MiB allocated

Counts

27 → 1

Calls

Call 1

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

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

Calls

5 calls:

122.0ms	(exp.f64 (*.f64 y y))
21.0ms	y
8.0ms	x
8.0ms	(.f64 x (exp.f64 (.f64 y y)))
7.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
98.3%	1	`x`
98.3%	1	`y`
98.3%	1	`(.f64 x (exp.f64 (.f64 y y)))`
98.3%	1	`(exp.f64 (*.f64 y y))`
98.3%	1	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes42.0ms (0.1%)

Memory

-1.4MiB live, 80.0MiB allocated

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
89.1%	1	`x`
94.2%	3	`y`
89.1%	1	`(.f64 x (exp.f64 (.f64 y y)))`
89.1%	1	`(exp.f64 (*.f64 y y))`
94.2%	3	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes17.0ms (0.1%)

Memory

0.3MiB live, 39.5MiB allocated

Counts

25 → 2

Calls

Call 1

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

Outputs

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

2 calls:

8.0ms	(*.f64 y y)
8.0ms	y

Results

Accuracy	Segments	Branch
91.7%	2	`y`
91.7%	2	`(*.f64 y y)`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes49.0ms (0.2%)

Memory

-13.3MiB live, 24.3MiB allocated

Counts

22 → 1

Calls

Call 1

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

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

Calls

2 calls:

42.0ms	y
6.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
89.1%	1	`y`
89.1%	1	`(*.f64 y y)`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes39.0ms (0.1%)

Memory

9.6MiB live, 46.4MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

5 calls:

17.0ms	x
6.0ms	y
5.0ms	(.f64 x (exp.f64 (.f64 y y)))
5.0ms	(*.f64 y y)
5.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
88.9%	1	`x`
88.9%	1	`(.f64 x (exp.f64 (.f64 y y)))`
88.9%	1	`(exp.f64 (*.f64 y y))`
88.9%	1	`y`
88.9%	1	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes48.0ms (0.2%)

Memory

2.4MiB live, 77.9MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

5 calls:

14.0ms	x
12.0ms	(.f64 x (exp.f64 (.f64 y y)))
10.0ms	y
5.0ms	(*.f64 y y)
4.0ms	(exp.f64 (*.f64 y y))

Results

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

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes45.0ms (0.1%)

Memory

9.1MiB live, 86.0MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
81.5%	1	`x`
88.3%	2	`y`
88.3%	2	`(.f64 x (exp.f64 (.f64 y y)))`
88.3%	2	`(exp.f64 (*.f64 y y))`
88.3%	2	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes23.0ms (0.1%)

Memory

7.4MiB live, 52.8MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

8.0ms	(exp.f64 (*.f64 y y))
7.0ms	(*.f64 y y)
4.0ms	y
4.0ms	(.f64 x (exp.f64 (.f64 y y)))

Results

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

Compiler

Compiled 14 to 14 computations (0% saved)

regimes16.0ms (0.1%)

Memory

2.9MiB live, 41.1MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(*.f64 y y)
4.0ms	y
3.0ms	(.f64 x (exp.f64 (.f64 y y)))
3.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
81.5%	1	`y`
81.5%	1	`(.f64 x (exp.f64 (.f64 y y)))`
81.5%	1	`(exp.f64 (*.f64 y y))`
81.5%	1	`(*.f64 y y)`

Compiler

Compiled 14 to 14 computations (0% saved)

regimes74.0ms (0.2%)

Memory

-6.6MiB live, 32.3MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

5 calls:

62.0ms	(.f64 x (exp.f64 (.f64 y y)))
3.0ms	x
3.0ms	y
3.0ms	(*.f64 y y)
2.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
81.5%	2	`y`
81.5%	2	`(*.f64 y y)`
77.1%	1	`x`
81.5%	2	`(.f64 x (exp.f64 (.f64 y y)))`
81.5%	2	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes12.0ms (0%)

Memory

-12.4MiB live, 26.6MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
81.3%	2	`(.f64 x (exp.f64 (.f64 y y)))`
81.3%	2	`(exp.f64 (*.f64 y y))`
81.3%	2	`y`
81.3%	2	`(*.f64 y y)`

Compiler

Compiled 14 to 14 computations (0% saved)

regimes12.0ms (0%)

Memory

26.6MiB live, 26.6MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
64.4%	1	`x`
76.9%	2	`y`
76.9%	2	`(*.f64 y y)`
76.9%	2	`(.f64 x (exp.f64 (.f64 y y)))`
76.9%	2	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes15.0ms (0.1%)

Memory

-22.9MiB live, 23.1MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	(exp.f64 (*.f64 y y))
2.0ms	x
2.0ms	y
2.0ms	(.f64 x (exp.f64 (.f64 y y)))
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
64.4%	1	`x`
64.4%	1	`y`
64.4%	1	`(*.f64 y y)`
64.4%	1	`(.f64 x (exp.f64 (.f64 y y)))`
64.4%	1	`(exp.f64 (*.f64 y y))`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes8.0ms (0%)

Memory

19.4MiB live, 19.4MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
65.0%	2	`y`
65.0%	2	`(*.f64 y y)`
65.0%	2	`(.f64 x (exp.f64 (.f64 y y)))`
65.0%	2	`(exp.f64 (*.f64 y y))`
53.7%	1	`x`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes8.0ms (0%)

Memory

-19.6MiB live, 19.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
16.1%	1	`x`
16.1%	1	`y`
16.1%	1	`(.f64 x (exp.f64 (.f64 y y)))`
16.1%	1	`(exp.f64 (*.f64 y y))`
16.1%	1	`(*.f64 y y)`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.554739812054705e+188	4.1373669734553935e+205
0.0ms	3.611147148978362e+102	5.186876564658263e+104

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.9526663614497474e+152	6.257506192440123e+170

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.965143872794683	283707.08782406745

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.965143872794683	283707.08782406745

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.6802930550070257e+59	4.535661674011639e+63

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.6251653191772046	+inf

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.6251653191772046	+inf

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.6251653191772046	+inf

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify31.0ms (0.1%)

Memory

-25.1MiB live, 95.6MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`-commutative-binary64-.f64`
8×	`+-commutative-binary64-+.f64`
8×	`sub-neg-binary64-neg.f64-+.f64--.f64`
4×	`neg-sub0-binary64--.f64-neg.f64`
4×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	528
1	136	528
2	144	528
3	148	528
4	150	528

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (exp.f64 y))
(if (<=.f64 (.f64 y y) #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) y) y x)) (if (<=.f64 (.f64 y y) #s(literal 500000000000000011546545651348935774464919112425849637715282289077421094839728844432880898433975380555391192719129287098299595056567936753438014858326845092856015715723317824379483334901760 binary64)) (.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)) (.f64 y y)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y) y))))) (.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y) y))))))
(if (<=.f64 (.f64 y y) #s(literal 200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) 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 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* (* (* y y) x) 1/2) x) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x))) (.f64 y y) x))
(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y #s(literal 1 binary64))))
(if (<=.f64 (.f64 y y) #s(literal 1 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))))
(if (<=.f64 (.f64 y y) #s(literal 1 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y) y)))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(if (<=.f64 (.f64 y y) #s(literal 499999999999999974693567648537009433481822505506705036541952 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) #s(approx ( x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x))))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 5 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x))))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 5 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y x) y))))
#s(approx (* x (exp y)) (fma.f64 y x x))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 5 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))

Outputs
(.f64 x (exp.f64 (.f64 y y)))
(.f64 (exp.f64 (.f64 y y)) x)
(*.f64 x (exp.f64 y))
(*.f64 (exp.f64 y) x)
(if (<=.f64 (.f64 y y) #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) y) y x)) (if (<=.f64 (.f64 y y) #s(literal 500000000000000011546545651348935774464919112425849637715282289077421094839728844432880898433975380555391192719129287098299595056567936753438014858326845092856015715723317824379483334901760 binary64)) (.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)) (.f64 y y)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y) y))))) (.f64 x #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y) y))))))
(if (<=.f64 (.f64 y y) #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) y) y x)) (if (<=.f64 (.f64 y y) #s(literal 500000000000000011546545651348935774464919112425849637715282289077421094839728844432880898433975380555391192719129287098299595056567936753438014858326845092856015715723317824379483334901760 binary64)) (.f64 #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)) (.f64 y y)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y) y)))) x) (.f64 #s(approx (exp y) #s(approx (+ ( (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y) y))) x)))
(if (<=.f64 (.f64 y y) #s(literal 200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) 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 200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) 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 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* (* (* y y) x) 1/2) x) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x))) (.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* (* (* y y) x) 1/2) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x))
(.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ ( (+ (* 1/6 y) 1/2) y) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y #s(literal 1 binary64))))
(.f64 #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 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))))
(if (<=.f64 (.f64 y y) #s(literal 1 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 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))) x))
(if (<=.f64 (.f64 y y) #s(literal 1 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) (.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y) y)))))
(if (<=.f64 (.f64 y y) #s(literal 1 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 (.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y) y))) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(if (<=.f64 (.f64 y y) #s(literal 499999999999999974693567648537009433481822505506705036541952 binary64)) #s(approx ( x (exp (* y y))) (fma.f64 (.f64 y x) y x)) #s(approx ( x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x))))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 5 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x))))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 5 binary64)) (.f64 #s(approx (exp (* y y)) #s(literal 1 binary64)) x) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x))))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 5 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y x) y))))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 5 binary64)) (.f64 #s(approx (exp (* y y)) #s(literal 1 binary64)) x) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y x) y))))
#s(approx (* x (exp y)) (fma.f64 y x x))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 5 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x))))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 5 binary64)) (.f64 #s(approx (exp (* y y)) #s(literal 1 binary64)) x) #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))

soundness2.0s (6.5%)

Memory

36.0MiB live, 1 380.1MiB allocated

Rules

22 052×	`lower-fma.f64`
22 052×	`lower-fma.f32`
16 530×	`lower-fma.f64`
16 530×	`lower-fma.f32`
13 738×	`lower-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	67	752
1	208	752
2	524	742
3	1301	738
4	2228	738
5	6541	738
0	8118	688
0	30	158
0	49	156
1	172	156
2	1035	156
0	8252	156
0	13	42
0	19	42
1	46	42
2	205	42
3	1791	42
0	8578	42
0	42	286
0	58	286
1	173	286
2	1082	286
0	8262	276
0	33	272
1	95	272
2	276	266
3	744	264
4	974	264
5	1146	264
6	1303	264
7	1421	264
8	1421	262
9	1737	262
10	1769	262
11	1770	262
12	1819	262
0	1819	250
0	107	1802
1	353	1794
2	957	1776
3	3574	1776
4	7207	1776
0	8198	1609
0	5	13
0	8	13
1	13	13
2	26	13
3	69	13
4	294	5
0	2666	5
0	130	2512
1	417	2512
2	1116	2462
3	3270	2458
4	6921	2458
0	8119	2225

Stop Event

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

Compiler

Compiled 668 to 389 computations (41.8% saved)

preprocess175.0ms (0.6%)

Memory

8.9MiB live, 282.4MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 748 to 300 computations (59.9% 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	30	173
0	49	171
1	78	171
2	102	171
3	178	171
4	293	171
5	378	171
6	395	171
0	395	171

Iter	Nodes	Cost
0	42	309
0	58	309
1	92	309
2	135	309
3	284	309
4	585	309
5	791	309
6	815	309
0	815	295

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	30	173
0	49	171
1	78	171
2	102	171
3	178	171
4	293	171
5	378	171
6	395	171
0	395	171

Iter	Nodes	Cost
0	42	309
0	58	309
1	92	309
2	135	309
3	284	309
4	585	309
5	791	309
6	815	309
0	815	295

start0.0ms (0%)

analyze0.0ms (0%)

sample871.0ms (2.9%)

explain94.0ms (0.3%)

preprocess37.0ms (0.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize22.0ms (0.1%)

series5.0ms (0%)

simplify58.0ms (0.2%)

rewrite91.0ms (0.3%)

eval7.0ms (0%)

prune4.0ms (0%)

simplify6.0ms (0%)

localize29.0ms (0.1%)

series9.0ms (0%)

simplify362.0ms (1.2%)

rewrite214.0ms (0.7%)

eval33.0ms (0.1%)

prune13.0ms (0%)

simplify14.0ms (0%)

localize71.0ms (0.2%)

series23.0ms (0.1%)

simplify190.0ms (0.6%)

rewrite226.0ms (0.7%)

eval304.0ms (1%)

prune193.0ms (0.6%)

simplify22.0ms (0.1%)

localize4.9s (15.9%)

series9.4s (30.7%)

simplify9.4s (30.8%)

rewrite343.0ms (1.1%)

eval398.0ms (1.3%)

prune285.0ms (0.9%)

regimes197.0ms (0.6%)

regimes168.0ms (0.5%)

regimes42.0ms (0.1%)

regimes17.0ms (0.1%)

regimes49.0ms (0.2%)

regimes39.0ms (0.1%)

regimes48.0ms (0.2%)

regimes45.0ms (0.1%)

regimes23.0ms (0.1%)

regimes16.0ms (0.1%)

regimes74.0ms (0.2%)

regimes12.0ms (0%)

regimes12.0ms (0%)

regimes15.0ms (0.1%)

regimes8.0ms (0%)

regimes8.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify31.0ms (0.1%)

soundness2.0s (6.5%)

preprocess175.0ms (0.6%)

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	30	173
0	49	171
1	78	171
2	102	171
3	178	171
4	293	171
5	378	171
6	395	171
0	395	171

Iter	Nodes	Cost
0	42	309
0	58	309
1	92	309
2	135	309
3	284	309
4	585	309
5	791	309
6	815	309
0	815	295