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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample596.0ms (19.6%)

Memory

40.8MiB live, 692.7MiB allocated

Samples

316.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 131.0ms

ival-mult: 64.0ms (48.9% of total)

ival-add: 57.0ms (43.6% of total)

ival-true: 6.0ms (4.6% of total)

ival-assert: 3.0ms (2.3% of total)

Bogosity

explain84.0ms (2.8%)

Memory

-5.1MiB live, 68.7MiB 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

63.0ms

512×

valid

Compiler

Compiled 34 to 19 computations (44.1% saved)

Precisions

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

ival-add: 3.0ms (43.4% of total)

ival-mult: 3.0ms (43.4% of total)

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

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

preprocess38.0ms (1.2%)

Memory

-0.9MiB live, 44.4MiB 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)

Symmetry

(negabs z)

(sort x y)

Compiler

Compiled 8 to 5 computations (37.5% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify4.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB 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 x y)
x
y
z

localize16.0ms (0.5%)

Memory

-11.7MiB live, 27.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 x y)
accuracy	0.015625	(*.f64 (+.f64 x y) z)

Samples

11.0ms

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 (59.7% of total)

ival-add: 1.0ms (29.8% of total)

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

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

series4.0ms (0.1%)

Memory

7.9MiB live, 8.0MiB 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 (* 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 (* 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 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 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 (* 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 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 (* 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 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 (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 (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>) () ())) ())
#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 (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 (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>) () ())) ())

Calls

15 calls:

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

simplify299.0ms (9.8%)

Memory

-4.6MiB live, 152.9MiB 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	1126	228
4	2111	228
5	3659	228
6	4503	228
7	5007	228
8	5192	228
9	5294	228
10	5334	228
11	6120	228
12	6472	228
13	6472	228
14	6484	228
15	6484	228
0	9478	228

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 54

Calls

Call 1

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

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

rewrite301.0ms (9.9%)

Memory

1.4MiB live, 326.4MiB 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 x z) (.f64 y z))
(+.f64 (.f64 y z) (.f64 x z))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 z z)) (fma.f64 x z (.f64 (neg.f64 y) z))) (/.f64 (.f64 (.f64 y y) (.f64 z z)) (fma.f64 x z (.f64 (neg.f64 y) z))))
(-.f64 (/.f64 (.f64 (.f64 y y) (.f64 z z)) (-.f64 (.f64 y z) (.f64 x z))) (/.f64 (.f64 (.f64 x x) (.f64 z z)) (-.f64 (.f64 y z) (.f64 x z))))
(fma.f64 x z (*.f64 y z))
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(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (-.f64 y x)) (.f64 (.f64 y (-.f64 y x)) (.f64 y (-.f64 y x)))))) (fma.f64 (.f64 y (-.f64 y x)) (-.f64 (.f64 y (-.f64 y x)) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (fma.f64 x x (.f64 y (-.f64 x y))))) (fma.f64 x x (.f64 y (-.f64 x y))))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(.f64 (pow.f64 (/.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))))))
(.f64 (pow.f64 (/.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))))
(.f64 (pow.f64 (/.f64 (-.f64 x y) (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (fma.f64 x x (.f64 y y)) (.f64 x (.f64 x (.f64 x x))))))
(.f64 (pow.f64 (/.f64 (-.f64 x y) (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x x (.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1/2 binary64)))

eval29.0ms (1%)

Memory: -4.6MiB live, 67.2MiB allocated
Compiler: Compiled 6 892 to 661 computations (90.4% saved)

prune40.0ms (1.3%)

Memory

2.6MiB live, 89.2MiB 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 x z))
✓	100.0%	(*.f64 (+.f64 x y) z)
▶	50.5%	#s(approx (* (+ x y) z) (*.f64 z x))
▶	55.3%	#s(approx (* (+ x y) z) (*.f64 y z))

Compiler

Compiled 31 to 18 computations (41.9% 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 x z)
cost-diff	192	(fma.f64 z y (*.f64 x z))
cost-diff	0	(*.f64 z x)
cost-diff	0	#s(approx (* (+ x y) z) (*.f64 z x))
cost-diff	0	(*.f64 y z)
cost-diff	0	#s(approx (* (+ x y) z) (*.f64 y 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	21	39
2	21	39
0	21	39

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize30.0ms (1%)

Memory

15.4MiB live, 53.6MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x z)
accuracy	0.7499917428166807	(fma.f64 z y (*.f64 x z))
accuracy	0	(*.f64 z x)
accuracy	31.665080085809294	#s(approx (* (+ x y) z) (*.f64 z x))
accuracy	0	(*.f64 y z)
accuracy	28.60253274067392	#s(approx (* (+ x y) z) (*.f64 y 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: 12.0ms

ival-mult: 9.0ms (75.2% of total)

ival-add: 3.0ms (25.1% of total)

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

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

series10.0ms (0.3%)

Memory

-22.3MiB live, 15.3MiB allocated

Counts

6 → 180

Calls

Call 1

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

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

Calls

45 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(* y z)
1.0ms	z	@	0	(* y z)
0.0ms	y	@	inf	(* y z)
0.0ms	y	@	0	(* y z)
0.0ms	z	@	inf	(* y z)

simplify293.0ms (9.7%)

Memory

6.0MiB live, 127.1MiB 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	299	720
3	720	720
4	2117	720
5	4004	720
6	4845	720
7	5178	720
8	5303	720
9	5379	720
10	6247	720
11	7297	720
12	7365	720
13	7469	720
14	7517	720
15	7533	720
16	7621	720
17	7750	720
0	8168	720

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

rewrite303.0ms (10%)

Memory

17.0MiB live, 299.5MiB 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	46	32
2	310	32
3	3267	32
0	8968	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 y z))
(*.f64 y z)
#s(approx (* (+ x y) z) (*.f64 z x))
(*.f64 z x)
(fma.f64 z y (*.f64 x z))
(*.f64 x z)

Outputs
#s(approx (* (+ x y) z) (*.f64 y z))
(exp.f64 (log.f64 (*.f64 y z)))
(exp.f64 (.f64 (log.f64 (.f64 y z)) #s(literal 1 binary64)))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(*.f64 y z)
(*.f64 y (pow.f64 z #s(literal 1 binary64)))
(*.f64 y (exp.f64 (log.f64 z)))
(*.f64 z y)
(*.f64 (pow.f64 z #s(literal 1 binary64)) y)
(*.f64 (exp.f64 (log.f64 z)) y)
#s(approx (* (+ x y) z) (*.f64 x z))
(exp.f64 (log.f64 (*.f64 x z)))
(exp.f64 (.f64 (log.f64 (.f64 x z)) #s(literal 1 binary64)))
(pow.f64 (*.f64 x z) #s(literal 1 binary64))
(*.f64 x z)
(*.f64 x (pow.f64 z #s(literal 1 binary64)))
(*.f64 x (exp.f64 (log.f64 z)))
(*.f64 z x)
(*.f64 (pow.f64 z #s(literal 1 binary64)) x)
(*.f64 (exp.f64 (log.f64 z)) x)
(+.f64 (.f64 x z) (.f64 y z))
(+.f64 (.f64 y z) (.f64 x z))
(+.f64 (/.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 z (-.f64 y x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 z (-.f64 y x)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) z))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 z (-.f64 y x))) (/.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 z (-.f64 y x))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 z (-.f64 x y))) (/.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 z (-.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 z (-.f64 y x)))) (/.f64 (.f64 (+.f64 x y) (.f64 z (.f64 z (-.f64 y x)))) (neg.f64 (*.f64 z (-.f64 y x)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (.f64 (.f64 z (.f64 z z)) (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (fma.f64 x (.f64 x (.f64 z z)) (.f64 (.f64 y z) (.f64 z (-.f64 y x))))) (/.f64 (/.f64 (.f64 (.f64 (.f64 x z) (.f64 x (.f64 x (.f64 z z)))) (.f64 (.f64 x z) (.f64 x (.f64 x (.f64 z z))))) (.f64 (.f64 z (.f64 z z)) (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (fma.f64 x (.f64 x (.f64 z z)) (.f64 (.f64 y z) (.f64 z (-.f64 y x))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (fma.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 (.f64 z z) (fma.f64 x x (.f64 y y))) (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))))) (.f64 z (-.f64 y x))) (/.f64 (/.f64 (.f64 (.f64 (.f64 x z) (.f64 x (.f64 x (.f64 z z)))) (.f64 (.f64 x z) (.f64 x (.f64 x (.f64 z z))))) (fma.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 (.f64 z z) (fma.f64 x x (.f64 y y))) (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))))) (.f64 z (-.f64 y x))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (.f64 (.f64 z z) (fma.f64 x x (.f64 y y)))) (.f64 z (-.f64 y x))) (/.f64 (/.f64 (.f64 (.f64 x z) (.f64 (.f64 x z) (.f64 x (.f64 x (.f64 z z))))) (.f64 (.f64 z z) (fma.f64 x x (.f64 y y)))) (.f64 z (-.f64 y x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (.f64 x (.f64 z z)) (.f64 (.f64 y z) (.f64 z (-.f64 y x)))))) (/.f64 (.f64 (.f64 z (.f64 z z)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (neg.f64 (fma.f64 x (.f64 x (.f64 z z)) (.f64 (.f64 y z) (.f64 z (-.f64 y x)))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (.f64 (fma.f64 x (.f64 x (.f64 z z)) (.f64 (.f64 y z) (.f64 z (-.f64 y x)))) (.f64 (.f64 z (.f64 z z)) (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))))) (/.f64 (.f64 (.f64 (.f64 x z) (.f64 x (.f64 x (.f64 z z)))) (.f64 (.f64 x z) (.f64 x (.f64 x (.f64 z z))))) (.f64 (fma.f64 x (.f64 x (.f64 z z)) (.f64 (.f64 y z) (.f64 z (-.f64 y x)))) (.f64 (.f64 z (.f64 z z)) (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (.f64 (.f64 z (-.f64 y x)) (fma.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 (.f64 z z) (fma.f64 x x (.f64 y y))) (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))))))) (/.f64 (.f64 (.f64 (.f64 x z) (.f64 x (.f64 x (.f64 z z)))) (.f64 (.f64 x z) (.f64 x (.f64 x (.f64 z z))))) (.f64 (.f64 z (-.f64 y x)) (fma.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 (.f64 z z) (fma.f64 x x (.f64 y y))) (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))))))))
(-.f64 (/.f64 (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (.f64 (.f64 z (-.f64 y x)) (.f64 (.f64 z z) (fma.f64 x x (.f64 y y))))) (/.f64 (.f64 (.f64 x z) (.f64 (.f64 x z) (.f64 x (.f64 x (.f64 z z))))) (.f64 (.f64 z (-.f64 y x)) (.f64 (.f64 z z) (fma.f64 x x (.f64 y y))))))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 z (-.f64 y x))) (.f64 (.f64 z (-.f64 y x)) (.f64 z (-.f64 y x)))) (/.f64 (.f64 (.f64 z (-.f64 y x)) (.f64 x (.f64 x (.f64 z z)))) (.f64 (.f64 z (-.f64 y x)) (.f64 z (-.f64 y x)))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 z (-.f64 y x))) (.f64 (/.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 z (-.f64 y x))) (/.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 z (-.f64 y x))))) (fma.f64 (/.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 z (-.f64 y x))) (/.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 z (-.f64 y x))) (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 z (-.f64 y x))) (/.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 z (-.f64 y x))) (.f64 (/.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 z (-.f64 y x))) (/.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 z (-.f64 y x))))))) (/.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 z (-.f64 y x))) (.f64 (/.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 z (-.f64 y x))) (/.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 z (-.f64 y x))))) (fma.f64 (/.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 z (-.f64 y x))) (/.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 z (-.f64 y x))) (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 z (-.f64 y x))) (/.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 z (-.f64 y x))) (.f64 (/.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 z (-.f64 y x))) (/.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 z (-.f64 y x))))))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 z (-.f64 y x))) (/.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 z (-.f64 y x)))) (fma.f64 (.f64 z (.f64 y z)) (/.f64 y (.f64 z (-.f64 y x))) (/.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 z (-.f64 y x))))) (/.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 z (-.f64 y x))) (/.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 z (-.f64 y x)))) (fma.f64 (.f64 z (.f64 y z)) (/.f64 y (.f64 z (-.f64 y x))) (/.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 z (-.f64 y x))))))
(fma.f64 x z (*.f64 y z))
(fma.f64 x (pow.f64 z #s(literal 1 binary64)) (*.f64 y z))
(fma.f64 x (exp.f64 (log.f64 z)) (*.f64 y z))
(fma.f64 y z (*.f64 x z))
(fma.f64 y (/.f64 (.f64 z (.f64 y z)) (.f64 z (-.f64 y x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 z z))) (*.f64 z (-.f64 y x)))))
(fma.f64 y (pow.f64 z #s(literal 1 binary64)) (*.f64 x z))
(fma.f64 y (exp.f64 (log.f64 z)) (*.f64 x z))
(fma.f64 z x (*.f64 y z))
(fma.f64 z y (*.f64 x z))
(fma.f64 z (/.f64 (.f64 z (.f64 y y)) (.f64 z (-.f64 y x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 z z))) (*.f64 z (-.f64 y x)))))
(fma.f64 (.f64 y z) (/.f64 (.f64 y z) (.f64 z (-.f64 y x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 z z))) (*.f64 z (-.f64 y x)))))
(fma.f64 (.f64 y (.f64 z (.f64 y z))) (/.f64 #s(literal 1 binary64) (.f64 z (-.f64 y x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 z (-.f64 y x)))))
(fma.f64 (.f64 y y) (/.f64 (.f64 z z) (.f64 z (-.f64 y x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 z z))) (*.f64 z (-.f64 y x)))))
(fma.f64 (.f64 z z) (/.f64 (.f64 y y) (.f64 z (-.f64 y x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 z z))) (*.f64 z (-.f64 y x)))))
(fma.f64 (.f64 z (.f64 y z)) (/.f64 y (.f64 z (-.f64 y x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 z z))) (*.f64 z (-.f64 y x)))))
(fma.f64 (.f64 z (.f64 y y)) (/.f64 z (.f64 z (-.f64 y x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 z z))) (*.f64 z (-.f64 y x)))))
(fma.f64 (/.f64 z z) (/.f64 (.f64 z (.f64 y y)) (-.f64 y x)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 z (-.f64 y x)))))
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eval45.0ms (1.5%)

Memory: -32.7MiB live, 87.0MiB allocated
Compiler: Compiled 8 767 to 601 computations (93.1% saved)

prune47.0ms (1.5%)

Memory

24.0MiB live, 95.0MiB 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 x z))
✓	100.0%	(*.f64 (+.f64 x y) z)
✓	50.5%	#s(approx (* (+ x y) z) (*.f64 z x))
✓	55.3%	#s(approx (* (+ x y) z) (*.f64 y z))

Compiler

Compiled 53 to 27 computations (49.1% saved)

regimes13.0ms (0.4%)

Memory

-11.3MiB live, 26.2MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	y
2.0ms	z
2.0ms	(+.f64 x y)
2.0ms	x
2.0ms	(*.f64 (+.f64 x y) z)

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 26 to 18 computations (30.8% saved)

regimes8.0ms (0.3%)

Memory

20.8MiB live, 20.8MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

2.0ms	z
2.0ms	y
2.0ms	x
2.0ms	(+.f64 x y)
1.0ms	(*.f64 (+.f64 x y) z)

Results

Accuracy	Segments	Branch
84.2%	2	`x`
86.1%	2	`y`
60.4%	3	`z`
98.8%	2	`(*.f64 (+.f64 x y) z)`
98.8%	2	`(+.f64 x y)`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes9.0ms (0.3%)

Memory

-32.4MiB live, 19.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	x
1.0ms	z
1.0ms	(+.f64 x y)
1.0ms	y
1.0ms	(*.f64 (+.f64 x y) z)

Results

Accuracy	Segments	Branch
55.3%	1	`z`
55.3%	1	`x`
55.3%	1	`y`
55.3%	1	`(*.f64 (+.f64 x y) z)`
55.3%	1	`(+.f64 x y)`

Compiler

Compiled 26 to 18 computations (30.8% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.803697357707549e-252	4.799709546400625e-271

Compiler

Compiled 11 to 11 computations (0% saved)

simplify5.0ms (0.2%)

Memory

15.4MiB live, 15.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
2×	`+-commutative_binary64`

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 -8254602048994769/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112 binary64)) #s(approx (* (+ x y) z) (*.f64 z x)) #s(approx (* (+ x y) z) (*.f64 y z)))

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

Outputs
(*.f64 (+.f64 x y) z)
(if (<=.f64 (+.f64 x y) #s(literal -8254602048994769/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112 binary64)) #s(approx (* (+ x y) z) (.f64 z x)) #s(approx ( (+ x y) z) (*.f64 y z)))
(if (<=.f64 (+.f64 x y) #s(literal -8254602048994769/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112 binary64)) #s(approx (* (+ x y) z) (.f64 x z)) #s(approx ( (+ x y) z) (*.f64 y z)))
#s(approx (* (+ x y) z) (*.f64 y z))

soundness825.0ms (27.2%)

Memory

-12.2MiB live, 150.1MiB 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	1126	228
4	2111	228
5	3659	228
6	4503	228
7	5007	228
8	5192	228
9	5294	228
10	5334	228
11	6120	228
12	6472	228
13	6472	228
14	6484	228
15	6484	228
0	9478	228

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 44 to 22 computations (50% saved)

preprocess31.0ms (1%)

Memory

22.4MiB live, 61.1MiB allocated

Remove

(sort x y)

(negabs z)

Compiler

Compiled 132 to 70 computations (47% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample596.0ms (19.6%)

explain84.0ms (2.8%)

preprocess38.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize16.0ms (0.5%)

series4.0ms (0.1%)

simplify299.0ms (9.8%)

rewrite301.0ms (9.9%)

eval29.0ms (1%)

prune40.0ms (1.3%)

simplify4.0ms (0.1%)

localize30.0ms (1%)

series10.0ms (0.3%)

simplify293.0ms (9.7%)

rewrite303.0ms (10%)

eval45.0ms (1.5%)

prune47.0ms (1.5%)

regimes13.0ms (0.4%)

regimes8.0ms (0.3%)

regimes9.0ms (0.3%)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

soundness825.0ms (27.2%)

preprocess31.0ms (1%)

end0.0ms (0%)

Profiling