Metrics for Text.Parsec.Token:makeTokenParser from parsec-3.1.9, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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 7 to 7 computations (0% saved)

sample764.0ms (23%)

Memory

52.6MiB live, 703.5MiB allocated

Samples

299.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-mult: 63.0ms (52.3% of total)

ival-add: 49.0ms (40.7% of total)

ival-true: 5.0ms (4.1% of total)

ival-assert: 3.0ms (2.5% of total)

Bogosity

explain56.0ms (1.7%)

Memory

-3.4MiB live, 72.5MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(*.f64 (+.f64 x y) z)`
-	-	`(+.f64 x y)`
-	-	`z`
-	-	`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

19.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-add: 3.0ms (42.3% of total)

ival-mult: 3.0ms (42.3% of total)

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

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

preprocess34.0ms (1%)

Memory

-19.1MiB live, 29.5MiB allocated

Algorithm

1×	egg-herbie

Rules

198×	`distribute-lft-in`
184×	`distribute-rgt-in`
174×	`unsub-neg`
162×	`associate-r`
112×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	52
1	58	46
2	154	46
3	534	46
4	901	46
5	1128	46
6	1145	46
7	1147	46
0	5	5
0	7	5
1	9	5
2	17	5
3	19	5
0	19	5

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) z)

Outputs
(*.f64 (+.f64 x y) z)
(*.f64 z (+.f64 y x))

Symmetry

(negabs z)

(sort x y)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 x y) z)

Compiler

Compiled 5 to 5 computations (0% saved)

simplify4.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 x y)
cost-diff	0	(*.f64 (+.f64 x y) z)

Rules

12×	`lower-*.f32`
10×	`lower-*.f64`
8×	`lower-fma.f64`
8×	`lower-fma.f32`
8×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	9	11
2	17	11
3	19	11
0	19	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) z)
(+.f64 x y)
x
y
z

Outputs
(*.f64 (+.f64 x y) z)
(*.f64 z (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
y
z

localize13.0ms (0.4%)

Memory

14.1MiB live, 14.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 x y)
accuracy	0.0078125	(*.f64 (+.f64 x y) z)

Samples

9.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (61.2% of total)

ival-add: 1.0ms (30.6% of total)

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

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

series4.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

2 → 60

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((* (+ x y) z) (+ x y))
1.0ms	z	@	-inf	((* (+ x y) z) (+ x y))
0.0ms	z	@	0	((* (+ x y) z) (+ x y))
0.0ms	z	@	inf	((* (+ x y) z) (+ x y))
0.0ms	y	@	inf	((* (+ x y) z) (+ x y))

simplify212.0ms (6.4%)

Memory

-3.4MiB live, 71.2MiB allocated

Algorithm

1×	egg-herbie

Rules

5 952×	`lower-fma.f64`
5 952×	`lower-fma.f32`
3 616×	`lower-*.f64`
3 616×	`lower-*.f32`
3 296×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	228
1	134	228
2	369	228
3	1121	228
4	2094	228
5	3647	228
6	4495	228
7	4999	228
8	5188	228
9	5280	228
10	5320	228
11	6106	228
12	6458	228
13	6458	228
14	6470	228
15	6470	228
0	9402	228

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 54

Calls

Call 1

Inputs
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* x z)
(+ (* x z) (* y z))
(+ (* x z) (* y z))
(+ (* x z) (* y z))
x
(+ x y)
(+ x y)
(+ x y)
(* y z)
(* y (+ z (/ (* x z) y)))
(* y (+ z (/ (* x z) y)))
(* y (+ z (/ (* x z) y)))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* y z)
(+ (* x z) (* y z))
(+ (* x z) (* y z))
(+ (* x z) (* y z))
y
(+ x y)
(+ x y)
(+ x y)
(* x z)
(* x (+ z (/ (* y z) x)))
(* x (+ z (/ (* y z) x)))
(* x (+ z (/ (* y z) x)))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))

Outputs
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* x z)
(*.f64 x z)
(+ (* x z) (* y z))
(*.f64 (+.f64 y x) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 y x) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 y x) z)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(* y z)
(*.f64 y z)
(* y (+ z (/ (* x z) y)))
(*.f64 (+.f64 y x) z)
(* y (+ z (/ (* x z) y)))
(*.f64 (+.f64 y x) z)
(* y (+ z (/ (* x z) y)))
(*.f64 (+.f64 y x) z)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y z)
(*.f64 y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 y x) z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 y x) z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 y x) z)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* y z)
(*.f64 y z)
(+ (* x z) (* y z))
(*.f64 (+.f64 y x) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 y x) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 y x) z)
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(* x z)
(*.f64 x z)
(* x (+ z (/ (* y z) x)))
(*.f64 (+.f64 y x) z)
(* x (+ z (/ (* y z) x)))
(*.f64 (+.f64 y x) z)
(* x (+ z (/ (* y z) x)))
(*.f64 (+.f64 y x) z)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x z)
(*.f64 x z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 y x) z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 y x) z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 y x) z)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)

rewrite224.0ms (6.7%)

Memory

-5.6MiB live, 182.5MiB allocated

Rules

6 426×	`lower-fma.f64`
6 426×	`lower-fma.f32`
4 188×	`lower-/.f64`
4 188×	`lower-/.f32`
3 654×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	22	8
2	148	8
3	1408	8
0	8373	8

Stop Event

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

Counts

2 → 199

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) z)
(+.f64 x y)

Outputs
(.f64 (/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) z) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (.f64 x x)))
(.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) z) (.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x))
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(*.f64 z (+.f64 y x))
(*.f64 (+.f64 y x) z)
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(+.f64 (.f64 z y) (.f64 z x))
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(.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal -1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 x y) (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))
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(/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (-.f64 y x))
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(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y))
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(fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) (/.f64 (*.f64 y y) (-.f64 y x)))
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(-.f64 (/.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x y)) (.f64 y (/.f64 y (-.f64 x y))))) (/.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x y)) (.f64 y (/.f64 y (-.f64 x y))))))
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(-.f64 (/.f64 (.f64 (.f64 x x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 x y) (.f64 y y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x y) (fma.f64 y y (.f64 x x)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (fma.f64 y y (.f64 x x)))))
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(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 y x)) (neg.f64 (+.f64 y x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) (neg.f64 (+.f64 y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (-.f64 x y)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (-.f64 x y)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x y)) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x y)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (.f64 x x))))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 y x)))
(-.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))))
(-.f64 x (neg.f64 y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 y y) (-.f64 y x)) (.f64 x (/.f64 x (-.f64 x y))))
(+.f64 (.f64 x (/.f64 x (-.f64 x y))) (/.f64 (.f64 y y) (-.f64 y x)))
(+.f64 y x)
(+.f64 x y)

eval50.0ms (1.5%)

Memory: -12.8MiB live, 69.9MiB allocated
Compiler: Compiled 5 078 to 665 computations (86.9% saved)

prune5.0ms (0.2%)

Memory

21.2MiB live, 21.2MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	250	3	253
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	250	4	254

Accuracy

100.0%

Counts

254 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(fma.f64 z y (*.f64 z x))
✓	100.0%	(*.f64 (+.f64 x y) z)
▶	54.0%	#s(approx (* (+ x y) z) (*.f64 y z))
▶	55.9%	#s(approx (* (+ x y) z) (*.f64 x z))

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify4.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z x)
cost-diff	192	(fma.f64 z y (*.f64 z x))
cost-diff	0	(*.f64 y z)
cost-diff	0	#s(approx (* (+ x y) z) (*.f64 y z))
cost-diff	0	(*.f64 x z)
cost-diff	0	#s(approx (* (+ x y) z) (*.f64 x z))

Rules

12×	`lower-*.f32`
8×	`lower-+.f64`
8×	`lower-fma.f32`
8×	`lower-+.f32`
6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
0	16	39
1	22	39
0	22	39

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize28.0ms (0.8%)

Memory

-8.5MiB live, 68.3MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z x)
accuracy	0.7538979928166806	(fma.f64 z y (*.f64 z x))
accuracy	0	(*.f64 y z)
accuracy	29.464157165052367	#s(approx (* (+ x y) z) (*.f64 y z))
accuracy	0	(*.f64 x z)
accuracy	28.209792620425773	#s(approx (* (+ x y) z) (*.f64 x z))

Samples

21.0ms

256×

valid

Compiler

Compiled 35 to 12 computations (65.7% saved)

Precisions

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

ival-mult: 9.0ms (78.4% of total)

ival-add: 2.0ms (17.4% of total)

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

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

series9.0ms (0.3%)

Memory

18.2MiB live, 18.2MiB allocated

Counts

6 → 180

Calls

Call 1

Inputs
#s(alt #s(approx (* (+ x y) z) (.f64 x z)) (patch #s(approx ( (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())
#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())
#s(alt #s(approx (* (+ x y) z) (.f64 y z)) (patch #s(approx ( (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())
#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())
#s(alt (fma.f64 z y (.f64 z x)) (patch (fma.f64 z y (.f64 z x)) #<representation binary64>) () ())
#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())

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

Calls

9 calls:

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

simplify263.0ms (7.9%)

Memory

-46.5MiB live, 97.2MiB allocated

Algorithm

1×	egg-herbie

Rules

3 584×	`lower-fma.f64`
3 584×	`lower-fma.f32`
2 240×	`lower-*.f64`
2 240×	`lower-*.f32`
1 534×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	720
1	103	720
2	296	720
3	714	720
4	2109	720
5	3963	720
6	4812	720
7	5145	720
8	5270	720
9	5346	720
10	6214	720
11	7272	720
12	7340	720
13	7444	720
14	7492	720
15	7508	720
16	7596	720
17	7725	720
0	8143	720

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* x z)
(* x z)
(* x z)
(* x z)
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* y z)
(* y z)
(* y z)
(* y z)
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* x z)
(* x z)
(* x z)
(* x z)
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* x z)
(* x z)
(* x z)
(* x z)
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* y z)
(* y z)
(* y z)
(* y z)
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* x z)
(* x z)
(* x z)
(* x z)
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* x z)
(* x z)
(* x z)
(* x z)
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* z (+ (* -1 x) (* -1 y))))
(* -1 (* z (+ (* -1 x) (* -1 y))))
(* -1 (* z (+ (* -1 x) (* -1 y))))
(* -1 (* z (+ (* -1 x) (* -1 y))))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(+ (* x z) (* y z))
(+ (* x z) (* y z))
(+ (* x z) (* y z))
(* x z)
(+ (* x z) (* y z))
(+ (* x z) (* y z))
(+ (* x z) (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(* x z)
(+ (* x z) (* y z))
(+ (* x z) (* y z))
(+ (* x z) (* y z))
(* y z)
(* y (+ z (/ (* x z) y)))
(* y (+ z (/ (* x z) y)))
(* y (+ z (/ (* x z) y)))
(* y z)
(* y (+ z (/ (* x z) y)))
(* y (+ z (/ (* x z) y)))
(* y (+ z (/ (* x z) y)))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y (+ z (/ (* x z) y)))
(* y (+ z (/ (* x z) y)))
(* y (+ z (/ (* x z) y)))
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(* y z)
(+ (* x z) (* y z))
(+ (* x z) (* y z))
(+ (* x z) (* y z))
(* x z)
(* x z)
(* x z)
(* x z)
(* y z)
(+ (* x z) (* y z))
(+ (* x z) (* y z))
(+ (* x z) (* y z))
(* y z)
(+ (* x z) (* y z))
(+ (* x z) (* y z))
(+ (* x z) (* y z))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x (+ z (/ (* y z) x)))
(* x (+ z (/ (* y z) x)))
(* x (+ z (/ (* y z) x)))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x (+ z (/ (* y z) x)))
(* x (+ z (/ (* y z) x)))
(* x (+ z (/ (* y z) x)))
(* x z)
(* x (+ z (/ (* y z) x)))
(* x (+ z (/ (* y z) x)))
(* x (+ z (/ (* y z) x)))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* x z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* x z)
(* x z)
(* x z)
(* x z)

Outputs
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* -1 (* z (+ (* -1 x) (* -1 y))))
(*.f64 (+.f64 y x) z)
(* -1 (* z (+ (* -1 x) (* -1 y))))
(*.f64 (+.f64 y x) z)
(* -1 (* z (+ (* -1 x) (* -1 y))))
(*.f64 (+.f64 y x) z)
(* -1 (* z (+ (* -1 x) (* -1 y))))
(*.f64 (+.f64 y x) z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(+ (* x z) (* y z))
(*.f64 (+.f64 y x) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 y x) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 y x) z)
(* x z)
(*.f64 x z)
(+ (* x z) (* y z))
(*.f64 (+.f64 y x) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 y x) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 y x) z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* x z)
(*.f64 x z)
(+ (* x z) (* y z))
(*.f64 (+.f64 y x) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 y x) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 y x) z)
(* y z)
(*.f64 y z)
(* y (+ z (/ (* x z) y)))
(*.f64 (+.f64 y x) z)
(* y (+ z (/ (* x z) y)))
(*.f64 (+.f64 y x) z)
(* y (+ z (/ (* x z) y)))
(*.f64 (+.f64 y x) z)
(* y z)
(*.f64 y z)
(* y (+ z (/ (* x z) y)))
(*.f64 (+.f64 y x) z)
(* y (+ z (/ (* x z) y)))
(*.f64 (+.f64 y x) z)
(* y (+ z (/ (* x z) y)))
(*.f64 (+.f64 y x) z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y (+ z (/ (* x z) y)))
(*.f64 (+.f64 y x) z)
(* y (+ z (/ (* x z) y)))
(*.f64 (+.f64 y x) z)
(* y (+ z (/ (* x z) y)))
(*.f64 (+.f64 y x) z)
(* y z)
(*.f64 y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 y x) z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 y x) z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 y x) z)
(* y z)
(*.f64 y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 y x) z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 y x) z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 y x) z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 y x) z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 y x) z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 y x) z)
(* y z)
(*.f64 y z)
(+ (* x z) (* y z))
(*.f64 (+.f64 y x) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 y x) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 y x) z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* y z)
(*.f64 y z)
(+ (* x z) (* y z))
(*.f64 (+.f64 y x) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 y x) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 y x) z)
(* y z)
(*.f64 y z)
(+ (* x z) (* y z))
(*.f64 (+.f64 y x) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 y x) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 y x) z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x (+ z (/ (* y z) x)))
(*.f64 (+.f64 y x) z)
(* x (+ z (/ (* y z) x)))
(*.f64 (+.f64 y x) z)
(* x (+ z (/ (* y z) x)))
(*.f64 (+.f64 y x) z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x (+ z (/ (* y z) x)))
(*.f64 (+.f64 y x) z)
(* x (+ z (/ (* y z) x)))
(*.f64 (+.f64 y x) z)
(* x (+ z (/ (* y z) x)))
(*.f64 (+.f64 y x) z)
(* x z)
(*.f64 x z)
(* x (+ z (/ (* y z) x)))
(*.f64 (+.f64 y x) z)
(* x (+ z (/ (* y z) x)))
(*.f64 (+.f64 y x) z)
(* x (+ z (/ (* y z) x)))
(*.f64 (+.f64 y x) z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 y x) z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 y x) z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 y x) z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 y x) z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 y x) z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 y x) z)
(* x z)
(*.f64 x z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 y x) z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 y x) z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 y x) z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)

rewrite230.0ms (6.9%)

Memory

34.4MiB live, 220.8MiB allocated

Rules

5 346×	`lower-fma.f32`
5 344×	`lower-fma.f64`
4 496×	`lower-*.f32`
4 490×	`lower-*.f64`
4 476×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
0	16	32
1	47	32
2	309	32
3	3270	32
0	8956	32

Stop Event

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

Counts

6 → 218

Calls

Call 1

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

Outputs
#s(approx (* (+ x y) z) (*.f64 z x))
(*.f64 (exp.f64 (log.f64 z)) x)
(*.f64 (pow.f64 z #s(literal 1 binary64)) x)
(*.f64 z x)
(*.f64 x (exp.f64 (log.f64 z)))
(*.f64 x (pow.f64 z #s(literal 1 binary64)))
(*.f64 x z)
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 z x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 z x)))
#s(approx (* (+ x y) z) (*.f64 z y))
(*.f64 (exp.f64 (log.f64 z)) y)
(*.f64 (pow.f64 z #s(literal 1 binary64)) y)
(*.f64 z y)
(*.f64 y (exp.f64 (log.f64 z)))
(*.f64 y (pow.f64 z #s(literal 1 binary64)))
(*.f64 y z)
(pow.f64 (*.f64 z y) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 z y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 z y)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 y x) z) (-.f64 (pow.f64 (.f64 z y) #s(literal 4 binary64)) (pow.f64 (.f64 z x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 z z) (fma.f64 y y (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 y x) z) (-.f64 (pow.f64 (.f64 z y) #s(literal 6 binary64)) (pow.f64 (.f64 z x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (.f64 (.f64 z z) (fma.f64 y y (.f64 x x))) (pow.f64 (*.f64 z y) #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 z y) #s(literal 6 binary64)) (pow.f64 (.f64 z x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 z x) #s(literal 9 binary64)) (pow.f64 (.f64 z y) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 6 binary64)) (pow.f64 (.f64 z x) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (*.f64 y x) z) z) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 z (.f64 z (+.f64 y x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y x) (*.f64 (-.f64 y x) z)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) z) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (.f64 x x)))
(.f64 (/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) z) (.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (*.f64 (-.f64 y x) y)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (+.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (.f64 (.f64 z (+.f64 y x)) z) (-.f64 y x)) (-.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 z z) x) (+.f64 y x) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 z x) #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 z y) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 z z) x) (-.f64 x y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 z z) x) (-.f64 x y))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 z x) #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 z z) x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 (.f64 z z) x) (-.f64 x y)) (-.f64 (.f64 (.f64 (.f64 z z) x) (-.f64 x y)) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (pow.f64 (*.f64 z y) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (.f64 (.f64 z (+.f64 y x)) z) (-.f64 y x)) (.f64 (.f64 (.f64 z (+.f64 y x)) z) (-.f64 y x))) (.f64 z (+.f64 y x)))
(.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y x) (.f64 (.f64 (.f64 z (+.f64 y x)) z) (-.f64 y x))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 z (+.f64 y x)) z) (/.f64 (*.f64 (-.f64 y x) z) (-.f64 y x)))
(.f64 (.f64 (*.f64 (-.f64 x y) (+.f64 y x)) z) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 z z) (.f64 (-.f64 x y) (+.f64 y x))) (pow.f64 (*.f64 z (-.f64 x y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 y x) z) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (.f64 (*.f64 z (+.f64 y x)) z) (-.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 y x) z) #s(literal -1 binary64)) (.f64 (.f64 (*.f64 z (+.f64 y x)) z) (-.f64 y x)))
(.f64 (pow.f64 (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (pow.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (.f64 z x) #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (pow.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 z x) #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64))))
(.f64 #s(literal 1 binary64) (.f64 z (+.f64 y x)))
(.f64 (neg.f64 (.f64 (.f64 (.f64 z (+.f64 y x)) z) (-.f64 y x))) (pow.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z x) #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (pow.f64 (.f64 z y) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 z (-.f64 x y)))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) z))
(.f64 (.f64 (.f64 (.f64 z (+.f64 y x)) z) (-.f64 y x)) (pow.f64 (*.f64 (-.f64 y x) z) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (fma.f64 (-.f64 y x) y (.f64 x x))))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) z))
(.f64 (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 (.f64 z (+.f64 y x)) (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (pow.f64 (.f64 z y) #s(literal 2 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (.f64 (.f64 z (+.f64 y x)) (pow.f64 (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 z x) #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (pow.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 z (+.f64 y x)) (/.f64 (.f64 (-.f64 y x) z) (.f64 (-.f64 y x) z)))
(.f64 (.f64 z (+.f64 y x)) (.f64 (.f64 (-.f64 y x) z) (pow.f64 (*.f64 (-.f64 y x) z) #s(literal -1 binary64))))
(*.f64 z (+.f64 y x))
(*.f64 (+.f64 y x) z)
(pow.f64 (/.f64 (-.f64 x y) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) z)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 z (-.f64 x y)) (.f64 (.f64 z z) (.f64 (-.f64 x y) (+.f64 y x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 (*.f64 z (+.f64 y x)) z) (-.f64 y x)) z)) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 4 binary64)) (pow.f64 (.f64 z x) #s(literal 4 binary64))) (pow.f64 (.f64 (-.f64 y x) z) #s(literal -1 binary64)))) (neg.f64 (.f64 (.f64 z z) (fma.f64 y y (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 6 binary64)) (pow.f64 (.f64 z x) #s(literal 6 binary64))) (pow.f64 (.f64 (-.f64 y x) z) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (.f64 (.f64 z z) (fma.f64 y y (.f64 x x))) (pow.f64 (*.f64 z y) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 6 binary64)) (pow.f64 (.f64 z x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (pow.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64)))) (neg.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 z x) #s(literal 9 binary64)) (pow.f64 (.f64 z y) #s(literal 9 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (pow.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 6 binary64)) (pow.f64 (.f64 z x) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (*.f64 y x) z) z) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) z)) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) z)) (neg.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (neg.f64 (.f64 (-.f64 x y) (+.f64 y x))) z)) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) z)) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x)))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 z x) #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (pow.f64 (.f64 z y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 z (.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 z (neg.f64 (.f64 (-.f64 x y) (+.f64 y x))))) (neg.f64 (neg.f64 (-.f64 x y))))
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(/.f64 (+.f64 (pow.f64 (.f64 z x) #s(literal 9 binary64)) (pow.f64 (.f64 z y) #s(literal 9 binary64))) (.f64 (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 6 binary64)) (pow.f64 (.f64 z x) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (*.f64 y x) z) z) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 z (+.f64 y x)) z) (-.f64 y x))) (.f64 (neg.f64 z) (-.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z x) #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (.f64 z (+.f64 y x)) z) (-.f64 y x)) (.f64 (-.f64 y x) z))
(/.f64 (+.f64 (pow.f64 (.f64 z x) #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(/.f64 z (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (.f64 (-.f64 y x) z)) (.f64 z (+.f64 y x))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (pow.f64 (.f64 z y) #s(literal 2 binary64)))) (.f64 z (+.f64 y x))))
(neg.f64 (/.f64 (.f64 (.f64 (.f64 z (+.f64 y x)) z) (-.f64 y x)) (.f64 (neg.f64 z) (-.f64 y x))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 z x) #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))))
(fma.f64 (exp.f64 (log.f64 z)) y (*.f64 z x))
(fma.f64 (exp.f64 (log.f64 z)) x (*.f64 z y))
(fma.f64 (pow.f64 z #s(literal 1 binary64)) y (*.f64 z x))
(fma.f64 (pow.f64 z #s(literal 1 binary64)) x (*.f64 z y))
(fma.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 z z) x) (+.f64 y x) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) z) (-.f64 y x))))
(fma.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (.f64 (.f64 z (+.f64 y x)) z) (-.f64 y x))) (.f64 z (+.f64 y x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) z) (-.f64 y x))))
(fma.f64 (/.f64 (.f64 (.f64 z z) y) z) (/.f64 y (-.f64 y x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) z) (-.f64 y x))))
(fma.f64 (/.f64 (.f64 (.f64 y y) z) z) (/.f64 z (-.f64 y x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) z) (-.f64 y x))))
(fma.f64 (/.f64 (.f64 y y) z) (/.f64 (.f64 z z) (-.f64 y x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) z) (-.f64 y x))))
(fma.f64 (/.f64 (.f64 z y) z) (/.f64 (.f64 z y) (-.f64 y x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) z) (-.f64 y x))))
(fma.f64 (/.f64 y z) (/.f64 (.f64 (.f64 z z) y) (-.f64 y x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) z) (-.f64 y x))))
(fma.f64 (/.f64 (.f64 z z) z) (/.f64 (.f64 y y) (-.f64 y x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) z) (-.f64 y x))))
(fma.f64 (/.f64 z z) (/.f64 (.f64 (.f64 y y) z) (-.f64 y x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) z) (-.f64 y x))))
(fma.f64 (.f64 (.f64 y y) z) (/.f64 z (.f64 (-.f64 y x) z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) z) (-.f64 y x))))
(fma.f64 (.f64 (.f64 z z) y) (/.f64 y (.f64 (-.f64 y x) z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) z) (-.f64 y x))))
(fma.f64 (.f64 z z) (/.f64 (.f64 y y) (.f64 (-.f64 y x) z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) z) (-.f64 y x))))
(fma.f64 (.f64 y y) (/.f64 (.f64 z z) (.f64 (-.f64 y x) z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) z) (-.f64 y x))))
(fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 y x) z) #s(literal -1 binary64)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) z) (-.f64 y x))))
(fma.f64 (.f64 z y) (/.f64 (.f64 z y) (.f64 (-.f64 y x) z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) z) (-.f64 y x))))
(fma.f64 z (/.f64 (.f64 (.f64 y y) z) (.f64 (-.f64 y x) z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) z) (-.f64 y x))))
(fma.f64 z y (*.f64 z x))
(fma.f64 z x (*.f64 z y))
(fma.f64 y (exp.f64 (log.f64 z)) (*.f64 z x))
(fma.f64 y (pow.f64 z #s(literal 1 binary64)) (*.f64 z x))
(fma.f64 y (/.f64 (.f64 (.f64 z z) y) (.f64 (-.f64 y x) z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) z) (-.f64 y x))))
(fma.f64 y z (*.f64 z x))
(fma.f64 x (exp.f64 (log.f64 z)) (*.f64 z y))
(fma.f64 x (pow.f64 z #s(literal 1 binary64)) (*.f64 z y))
(fma.f64 x z (*.f64 z y))
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) z) (-.f64 y x)) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) z) (-.f64 y x)) (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) z) (-.f64 y x)))) (/.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) z) (-.f64 y x)) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) z) (-.f64 y x)) (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) z) (-.f64 y x)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) z) (-.f64 y x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) z) (-.f64 y x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) z) (-.f64 y x)) #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) z) (-.f64 y x)) (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) z) (-.f64 y x)))))) (/.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) z) (-.f64 y x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) z) (-.f64 y x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) z) (-.f64 y x)) #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) z) (-.f64 y x)) (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) z) (-.f64 y x)))))))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (-.f64 y x) z)) (pow.f64 (.f64 (-.f64 y x) z) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (-.f64 y x) z) (pow.f64 (.f64 z x) #s(literal 2 binary64))) (pow.f64 (.f64 (-.f64 y x) z) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 4 binary64)) (.f64 (.f64 (-.f64 y x) z) (.f64 (.f64 z z) (fma.f64 y y (.f64 x x))))) (/.f64 (pow.f64 (.f64 z x) #s(literal 4 binary64)) (.f64 (.f64 (-.f64 y x) z) (.f64 (.f64 z z) (fma.f64 y y (.f64 x x))))))
(-.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 6 binary64)) (.f64 (.f64 (-.f64 y x) z) (fma.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (.f64 (.f64 z z) (fma.f64 y y (.f64 x x))) (pow.f64 (.f64 z y) #s(literal 4 binary64))))) (/.f64 (pow.f64 (.f64 z x) #s(literal 6 binary64)) (.f64 (.f64 (-.f64 y x) z) (fma.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (.f64 (.f64 z z) (fma.f64 y y (.f64 x x))) (pow.f64 (.f64 z y) #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64))))) (/.f64 (pow.f64 (.f64 z x) #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 z) (-.f64 y x))) (/.f64 (.f64 (.f64 (.f64 z (+.f64 y x)) z) (-.f64 y x)) (*.f64 (neg.f64 z) (-.f64 y x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (pow.f64 (.f64 z y) #s(literal 2 binary64))))) (/.f64 (+.f64 (pow.f64 (.f64 z x) #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (pow.f64 (.f64 z y) #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 4 binary64)) (.f64 (.f64 z z) (fma.f64 y y (.f64 x x)))) (.f64 (-.f64 y x) z)) (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 4 binary64)) (.f64 (.f64 z z) (fma.f64 y y (.f64 x x)))) (.f64 (-.f64 y x) z)))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (.f64 (.f64 z z) (fma.f64 y y (.f64 x x))) (pow.f64 (.f64 z y) #s(literal 4 binary64)))) (.f64 (-.f64 y x) z)) (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (.f64 (.f64 z z) (fma.f64 y y (.f64 x x))) (pow.f64 (.f64 z y) #s(literal 4 binary64)))) (.f64 (-.f64 y x) z)))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (pow.f64 (.f64 z y) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (pow.f64 (.f64 z y) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (.f64 z (-.f64 x y))) (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 z (-.f64 x y))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) z) (-.f64 y x)) (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) z) (-.f64 y x)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 z (+.f64 y x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) z) (-.f64 y x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) z) (-.f64 y x))))
(+.f64 (.f64 z y) (.f64 z x))
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 (exp.f64 (log.f64 z)) x)
(*.f64 (pow.f64 z #s(literal 1 binary64)) x)
(*.f64 z x)
(*.f64 x (exp.f64 (log.f64 z)))
(*.f64 x (pow.f64 z #s(literal 1 binary64)))
(*.f64 x z)
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 z x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 z x)))

eval63.0ms (1.9%)

Memory: -0.5MiB live, 123.5MiB allocated
Compiler: Compiled 6 455 to 628 computations (90.3% saved)

prune18.0ms (0.5%)

Memory

-4.4MiB live, 33.1MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	398	0	398
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	398	4	402

Accuracy

100.0%

Counts

402 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(fma.f64 z y (*.f64 z x))
✓	100.0%	(*.f64 (+.f64 x y) z)
✓	54.0%	#s(approx (* (+ x y) z) (*.f64 y z))
✓	55.9%	#s(approx (* (+ x y) z) (*.f64 x z))

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes14.0ms (0.4%)

Memory

-24.1MiB live, 24.5MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs
(*.f64 (+.f64 x y) z)

Calls

5 calls:

5.0ms	(*.f64 (+.f64 x y) z)
2.0ms	z
2.0ms	(+.f64 x y)
2.0ms	x
2.0ms	y

Results

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

Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes8.0ms (0.2%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

2.0ms	(*.f64 (+.f64 x y) z)
2.0ms	(+.f64 x y)
2.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
88.3%	2	`x`
89.2%	2	`y`
61.0%	3	`z`
99.2%	2	`(*.f64 (+.f64 x y) z)`
99.2%	2	`(+.f64 x y)`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes31.0ms (0.9%)

Memory

-23.5MiB live, 14.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

26.0ms	y
1.0ms	x
1.0ms	(*.f64 (+.f64 x y) z)
1.0ms	(+.f64 x y)
1.0ms	z

Results

Accuracy	Segments	Branch
55.9%	1	`z`
55.9%	1	`x`
55.9%	1	`y`
55.9%	1	`(*.f64 (+.f64 x y) z)`
55.9%	1	`(+.f64 x y)`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.462682308794343e-251	5.244944028842984e-187

Compiler

Compiled 8 to 11 computations (-37.5% saved)

simplify22.0ms (0.7%)

Memory

5.0MiB live, 42.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`-commutative-binary64-.f64`
2×	`+-commutative-binary64-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	18	38

Stop Event

1×

saturated

Calls

Call 1

Inputs

(*.f64 (+.f64 x y) z)

(if (<=.f64 (+.f64 x y) #s(literal -1612226962694291/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704 binary64)) #s(approx (* (+ x y) z) (*.f64 x z)) #s(approx (* (+ x y) z) (*.f64 y z)))

#s(approx (* (+ x y) z) (*.f64 x z))

Outputs
(*.f64 (+.f64 x y) z)
(*.f64 z (+.f64 y x))
(if (<=.f64 (+.f64 x y) #s(literal -1612226962694291/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704 binary64)) #s(approx (* (+ x y) z) (.f64 x z)) #s(approx ( (+ x y) z) (*.f64 y z)))
(if (<=.f64 (+.f64 y x) #s(literal -1612226962694291/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704 binary64)) #s(approx (* (+ x y) z) (.f64 z x)) #s(approx ( (+ x y) z) (*.f64 z y)))
#s(approx (* (+ x y) z) (*.f64 x z))
#s(approx (* (+ x y) z) (*.f64 z x))

soundness770.0ms (23.2%)

Memory

11.9MiB live, 122.2MiB allocated

Rules

5 952×	`lower-fma.f64`
5 952×	`lower-fma.f32`
3 616×	`lower-*.f64`
3 616×	`lower-*.f32`
3 296×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	228
1	134	228
2	369	228
3	1121	228
4	2094	228
5	3647	228
6	4495	228
7	4999	228
8	5188	228
9	5280	228
10	5320	228
11	6106	228
12	6458	228
13	6458	228
14	6470	228
15	6470	228
0	9402	228

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 32 to 24 computations (25% saved)

preprocess499.0ms (15%)

Memory

-13.7MiB live, 113.0MiB allocated

Remove

(sort x y)

(negabs z)

Compiler

Compiled 116 to 94 computations (19% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample764.0ms (23%)

explain56.0ms (1.7%)

preprocess34.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize13.0ms (0.4%)

series4.0ms (0.1%)

simplify212.0ms (6.4%)

rewrite224.0ms (6.7%)

eval50.0ms (1.5%)

prune5.0ms (0.2%)

simplify4.0ms (0.1%)

localize28.0ms (0.8%)

series9.0ms (0.3%)

simplify263.0ms (7.9%)

rewrite230.0ms (6.9%)

eval63.0ms (1.9%)

prune18.0ms (0.5%)

regimes14.0ms (0.4%)

regimes8.0ms (0.2%)

regimes31.0ms (0.9%)

bsearch1.0ms (0%)

simplify22.0ms (0.7%)

soundness770.0ms (23.2%)

preprocess499.0ms (15%)

end0.0ms (0%)

Profiling