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

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample513.0ms (18.7%)

Memory

14.2MiB live, 696.1MiB allocated

Samples

311.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

ival-mult: 71.0ms (51.1% of total)

ival-add: 53.0ms (38.2% of total)

ival-true: 12.0ms (8.6% of total)

ival-assert: 3.0ms (2.2% of total)

Bogosity

explain47.0ms (1.7%)

Memory

36.3MiB live, 74.7MiB 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

24.0ms

512×

valid

Compiler

Compiled 48 to 24 computations (50% saved)

Precisions

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

ival-add: 7.0ms (62% of total)

ival-mult: 3.0ms (26.6% of total)

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

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

preprocess32.0ms (1.2%)

Memory

-12.0MiB live, 36.7MiB 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 8 to 5 computations (37.5% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

simplify3.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB 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 z (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
y
z

localize68.0ms (2.5%)

Memory

-28.2MiB live, 10.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 x y)
accuracy	0.00390625	(*.f64 (+.f64 x y) z)

Samples

64.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-add: 3.0ms (61.5% of total)

ival-mult: 2.0ms (41% of total)

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

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

series5.0ms (0.2%)

Memory

2.9MiB live, 2.9MiB 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	y	@	inf	((* (+ x y) z) (+ x y))
0.0ms	z	@	inf	((* (+ x y) z) (+ x y))

simplify234.0ms (8.5%)

Memory

25.7MiB live, 100.7MiB 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)

rewrite294.0ms (10.7%)

Memory

-37.8MiB live, 178.1MiB 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 y x) (+.f64 y x)) z) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x))) (fma.f64 y (+.f64 y x) (.f64 x x)))
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(-.f64 (/.f64 (.f64 (.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 x (/.f64 x (-.f64 x y)))) (.f64 x (/.f64 x (-.f64 x y)))) (fma.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 x (/.f64 x (-.f64 x y))) (fma.f64 (.f64 y (/.f64 y (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))) (.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))))))) (/.f64 (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (-.f64 y x))) (fma.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 x (/.f64 x (-.f64 x y))) (fma.f64 (.f64 y (/.f64 y (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))) (.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (-.f64 x y)) (.f64 (-.f64 x y) (-.f64 x y))) (/.f64 (.f64 (-.f64 x y) (.f64 y y)) (.f64 (-.f64 x y) (-.f64 x y))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (-.f64 x y) (fma.f64 y y (.f64 x x)))) (/.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (-.f64 x y) (fma.f64 y y (.f64 x x)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (-.f64 x y) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (-.f64 x y) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y)))) (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y)))))
(-.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 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 y y (.f64 x x))) (-.f64 x y)) (/.f64 (/.f64 (.f64 (.f64 y y) (.f64 y y)) (fma.f64 y y (.f64 x x))) (-.f64 x y)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 x y)) (/.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 x y)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (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 (/.f64 #s(literal 1 binary64) (+.f64 y x))) #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)

eval28.0ms (1%)

Memory: 33.0MiB live, 69.7MiB allocated
Compiler: Compiled 6 892 to 658 computations (90.5% saved)

prune41.0ms (1.5%)

Memory

-28.5MiB live, 93.1MiB 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
▶	99.2%	(fma.f64 z y (*.f64 z x))
✓	100.0%	(*.f64 (+.f64 x y) z)
▶	56.0%	#s(approx (* (+ x y) z) (*.f64 y z))
▶	54.5%	#s(approx (* (+ x y) z) (*.f64 x z))

Compiler

Compiled 31 to 18 computations (41.9% saved)

simplify4.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB 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

localize34.0ms (1.2%)

Memory

-17.8MiB live, 59.7MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z x)
accuracy	0.49999449521112044	(fma.f64 z y (*.f64 z x))
accuracy	0	(*.f64 y z)
accuracy	28.186908004541376	#s(approx (* (+ x y) z) (*.f64 y z))
accuracy	0	(*.f64 x z)
accuracy	29.14743963924915	#s(approx (* (+ x y) z) (*.f64 x z))

Samples

20.0ms

256×

valid

Compiler

Compiled 35 to 12 computations (65.7% saved)

Precisions

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

ival-mult: 8.0ms (77.5% of total)

ival-add: 2.0ms (19.4% of total)

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

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

series9.0ms (0.3%)

Memory

19.4MiB live, 19.4MiB 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	y	@	inf	((* (+ x y) z) (* x z) (* (+ x y) z) (* y z) (+ (* z y) (* z x)) (* z x))

simplify197.0ms (7.2%)

Memory

-6.4MiB live, 74.2MiB 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)

rewrite215.0ms (7.8%)

Memory

32.4MiB live, 140.1MiB 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 (.f64 (.f64 z z) (fma.f64 y y (.f64 x x))) (.f64 (.f64 (.f64 z (+.f64 y x)) z) (-.f64 y x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (fma.f64 y y (.f64 x x)))))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 y x) z) (.f64 (.f64 (.f64 (.f64 z z) z) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (.f64 (.f64 (.f64 z z) z) (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 (.f64 (.f64 x x) z) z) (.f64 (.f64 z z) (fma.f64 y y (*.f64 x x)))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (.f64 (.f64 (.f64 y y) z) z)) (.f64 (.f64 (.f64 (.f64 z z) z) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (.f64 (.f64 (.f64 z z) z) (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) z) (-.f64 (.f64 (.f64 y y) y) (.f64 (*.f64 x x) x)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (.f64 (.f64 (.f64 y y) z) z)) (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 z z) z)) (.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (.f64 z z) z)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) z) (.f64 (.f64 z z) x)) (-.f64 (.f64 (.f64 (.f64 x x) z) (.f64 (.f64 z z) x)) (.f64 (.f64 (.f64 y y) z) (.f64 (.f64 z z) y))) (.f64 (.f64 (.f64 (.f64 y y) z) (.f64 (.f64 z z) y)) (.f64 (.f64 (.f64 y y) z) (.f64 (*.f64 z z) y))))))
(.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 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (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 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) z) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)))) (-.f64 (.f64 x x) (*.f64 (-.f64 y x) y)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) z) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (.f64 (.f64 (.f64 (-.f64 y x) y) (.f64 (-.f64 y x) y)) (.f64 (-.f64 y x) y)))) (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))
(.f64 (/.f64 (.f64 (.f64 (.f64 z (+.f64 y x)) z) (-.f64 y x)) (.f64 (.f64 (.f64 z z) z) (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)))) (fma.f64 (.f64 (.f64 z z) x) (+.f64 y x) (.f64 (.f64 (.f64 y y) z) z)))
(.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (.f64 (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (.f64 (.f64 (.f64 y y) z) z)) (-.f64 (.f64 (.f64 (.f64 y y) z) z) (.f64 (.f64 (.f64 z z) x) (-.f64 x y))))) (-.f64 (.f64 (.f64 (.f64 y y) z) z) (.f64 (.f64 (*.f64 z z) x) (-.f64 x y))))
(.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 (.f64 y y) z) (.f64 (.f64 y y) z)) (.f64 (.f64 (.f64 z z) y) (.f64 (.f64 z z) y)) (.f64 (.f64 (.f64 (.f64 z (-.f64 x y)) (.f64 z (-.f64 x y))) (.f64 z (-.f64 x y))) (.f64 (.f64 (.f64 x x) z) (.f64 (.f64 z z) x))))) (fma.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 (.f64 (.f64 z z) x) (-.f64 x y)) (-.f64 (.f64 (.f64 (.f64 z z) x) (-.f64 x y)) (.f64 (.f64 (.f64 y y) z) z)))))
(.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 (/.f64 #s(literal 1 binary64) z) (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) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) z) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (.f64 x x))))
(.f64 (.f64 (.f64 z z) (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 x y))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 y x) z)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z (+.f64 y x)) z) (-.f64 y x))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 y x) z)) (.f64 (.f64 (*.f64 z (+.f64 y x)) z) (-.f64 y x)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (.f64 (.f64 (.f64 y y) z) z))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) z) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (.f64 (.f64 (.f64 y y) z) z))) (.f64 (.f64 (.f64 z z) z) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))))
(.f64 #s(literal 1 binary64) (.f64 z (+.f64 y x)))
(.f64 (neg.f64 (.f64 (.f64 (.f64 z (+.f64 y x)) z) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (-.f64 y x))))
(.f64 (neg.f64 (.f64 (.f64 (.f64 z z) z) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (.f64 (.f64 (.f64 y y) z) z)))))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 z (-.f64 x y)))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) z))
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(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) z) (.f64 (.f64 z z) y)) (.f64 (.f64 (.f64 y y) z) (.f64 (.f64 z z) y))) (.f64 (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (.f64 (.f64 (.f64 y y) z) z)) (.f64 (.f64 (.f64 z z) z) (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))))) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) z) (.f64 (.f64 z z) x)) (.f64 (.f64 (.f64 x x) z) (.f64 (.f64 z z) x))) (.f64 (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (.f64 (.f64 (.f64 y y) z) z)) (.f64 (.f64 (.f64 z z) z) (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))))))
(-.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) (.f64 (.f64 (.f64 y y) z) z)))) (/.f64 (.f64 (.f64 (.f64 z z) z) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (.f64 (.f64 (.f64 y y) z) z)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) z) z) (.f64 (.f64 (.f64 y y) z) z)) (.f64 (.f64 z z) (fma.f64 y y (.f64 x x)))) (.f64 (-.f64 y x) z)) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) z) z) (.f64 (.f64 (.f64 x x) z) z)) (.f64 (.f64 z z) (fma.f64 y y (.f64 x x)))) (.f64 (-.f64 y x) z)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) z) (.f64 (.f64 z z) y)) (.f64 (.f64 (.f64 y y) z) (.f64 (.f64 z z) y))) (fma.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 (.f64 (.f64 x x) z) z) (.f64 (.f64 z z) (fma.f64 y y (.f64 x x)))))) (.f64 (-.f64 y x) z)) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) z) (.f64 (.f64 z z) x)) (.f64 (.f64 (.f64 x x) z) (.f64 (.f64 z z) x))) (fma.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 (.f64 (.f64 x x) z) z) (.f64 (.f64 z z) (fma.f64 y y (.f64 x x)))))) (.f64 (-.f64 y x) z)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) z) (.f64 (.f64 z z) y)) (.f64 (.f64 (.f64 y y) z) (.f64 (.f64 z z) y))) (.f64 (.f64 (.f64 z z) z) (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)))) (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (.f64 (.f64 (.f64 y y) z) z))) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) z) (.f64 (.f64 z z) x)) (.f64 (.f64 (.f64 x x) z) (.f64 (.f64 z z) x))) (.f64 (.f64 (.f64 z z) z) (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)))) (fma.f64 (.f64 (.f64 z z) x) (-.f64 x y) (.f64 (.f64 (.f64 y y) z) z))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) z) z) (.f64 z (-.f64 x y))) (/.f64 (.f64 (.f64 (.f64 y y) z) z) (.f64 z (-.f64 x y))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y y) z) z) (.f64 (-.f64 y x) z)) (/.f64 (.f64 (.f64 (.f64 x x) z) z) (.f64 (-.f64 y x) z)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 z (+.f64 y x)))) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 (.f64 (.f64 y y) z) z) (.f64 (-.f64 y x) z)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 x x) z) z) (.f64 (-.f64 y x) z))))
(+.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)))

eval87.0ms (3.2%)

Memory: -13.3MiB live, 106.7MiB allocated
Compiler: Compiled 8 767 to 606 computations (93.1% saved)

prune46.0ms (1.7%)

Memory

-16.0MiB live, 78.5MiB 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
✓	99.2%	(fma.f64 z y (*.f64 z x))
✓	100.0%	(*.f64 (+.f64 x y) z)
✓	56.0%	#s(approx (* (+ x y) z) (*.f64 y z))
✓	54.5%	#s(approx (* (+ x y) z) (*.f64 x z))

Compiler

Compiled 53 to 27 computations (49.1% saved)

regimes12.0ms (0.4%)

Memory

-14.4MiB 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:

3.0ms	x
2.0ms	y
2.0ms	(+.f64 x y)
2.0ms	z
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

22.7MiB live, 22.7MiB 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 x y)
2.0ms	z
2.0ms	y
2.0ms	x
1.0ms	(*.f64 (+.f64 x y) z)

Results

Accuracy	Segments	Branch
85.4%	2	`x`
88.1%	2	`y`
66.6%	3	`z`
98.3%	2	`(*.f64 (+.f64 x y) z)`
98.3%	2	`(+.f64 x y)`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes8.0ms (0.3%)

Memory

-22.8MiB live, 16.1MiB 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:

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

Results

Accuracy	Segments	Branch
54.5%	1	`z`
54.5%	1	`x`
54.5%	1	`y`
54.5%	1	`(*.f64 (+.f64 x y) z)`
54.5%	1	`(+.f64 x y)`

Compiler

Compiled 26 to 18 computations (30.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.122671899049324e-202	-2.7257588416735404e-220

Compiler

Compiled 11 to 11 computations (0% saved)

simplify5.0ms (0.2%)

Memory

12.9MiB live, 12.9MiB 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 -2206260905240795/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152 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 -2206260905240795/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152 binary64)) #s(approx (* (+ x y) z) (.f64 x z)) #s(approx ( (+ x y) z) (*.f64 y z)))
(if (<=.f64 (+.f64 y x) #s(literal -2206260905240795/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152 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))

soundness804.0ms (29.3%)

Memory

3.7MiB live, 115.7MiB 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 44 to 22 computations (50% saved)

preprocess48.0ms (1.7%)

Memory

-5.5MiB live, 117.9MiB allocated

Remove

(sort x y)

(negabs z)

Compiler

Compiled 164 to 90 computations (45.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample513.0ms (18.7%)

explain47.0ms (1.7%)

preprocess32.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize68.0ms (2.5%)

series5.0ms (0.2%)

simplify234.0ms (8.5%)

rewrite294.0ms (10.7%)

eval28.0ms (1%)

prune41.0ms (1.5%)

simplify4.0ms (0.1%)

localize34.0ms (1.2%)

series9.0ms (0.3%)

simplify197.0ms (7.2%)

rewrite215.0ms (7.8%)

eval87.0ms (3.2%)

prune46.0ms (1.7%)

regimes12.0ms (0.4%)

regimes8.0ms (0.3%)

regimes8.0ms (0.3%)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

soundness804.0ms (29.3%)

preprocess48.0ms (1.7%)

end0.0ms (0%)

Profiling