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

0.6MiB live, 0.6MiB 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)

sample512.0ms (17.8%)

Memory

26.0MiB live, 677.2MiB allocated

Samples

312.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-mult: 57.0ms (51.8% of total)

ival-add: 45.0ms (40.9% of total)

ival-true: 6.0ms (5.4% of total)

ival-assert: 3.0ms (2.7% of total)

Bogosity

explain44.0ms (1.5%)

Memory

36.2MiB live, 74.2MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

19.0ms

512×

valid

Compiler

Compiled 34 to 19 computations (44.1% saved)

Precisions

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

ival-add: 3.0ms (44.7% of total)

ival-mult: 3.0ms (44.7% of total)

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

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

preprocess41.0ms (1.4%)

Memory

-34.3MiB live, 42.0MiB allocated

Algorithm

1×	egg-herbie

Rules

99×	`distribute-lft-in`
92×	`distribute-rgt-in`
87×	`unsub-neg`
81×	`associate-r`
56×	`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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune2.0ms (0.1%)

Memory

2.6MiB live, 2.6MiB 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

3.1MiB live, 3.1MiB 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

6×	`lower-*.f32`
5×	`lower-*.f64`
4×	`lower-fma.f64`
4×	`lower-fma.f32`
4×	`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

localize14.0ms (0.5%)

Memory

17.2MiB live, 17.2MiB 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

9.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-mult: 2.0ms (64.3% of total)

ival-add: 1.0ms (32.2% of total)

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

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

series4.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB 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)

simplify229.0ms (8%)

Memory

6.8MiB live, 91.0MiB allocated

Algorithm

1×	egg-herbie

Rules

2 976×	`lower-fma.f64`
2 976×	`lower-fma.f32`
1 808×	`lower-*.f64`
1 808×	`lower-*.f32`
1 648×	`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 z y)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
(* x z)
(*.f64 x z)
(* x (+ z (/ (* y z) x)))
(*.f64 (+.f64 x y) z)
(* x (+ z (/ (* y z) x)))
(*.f64 (+.f64 x y) z)
(* x (+ z (/ (* y z) x)))
(*.f64 (+.f64 x y) z)
(* x z)
(*.f64 x z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 x y) z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 x y) z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 x y) z)
(* x z)
(*.f64 x z)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
(* y z)
(*.f64 z y)
(* y (+ z (/ (* x z) y)))
(*.f64 (+.f64 x y) z)
(* y (+ z (/ (* x z) y)))
(*.f64 (+.f64 x y) z)
(* y (+ z (/ (* x z) y)))
(*.f64 (+.f64 x y) z)
(* y z)
(*.f64 z y)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 x y) z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 x y) z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)

rewrite267.0ms (9.3%)

Memory

-2.6MiB live, 186.7MiB allocated

Rules

3 213×	`lower-fma.f64`
3 213×	`lower-fma.f32`
2 094×	`lower-/.f64`
2 094×	`lower-/.f32`
1 827×	`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)))
(.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) z) (.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x))
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(-.f64 (/.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) (.f64 y y)) (.f64 (.f64 y 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) (.f64 (.f64 y 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) (.f64 (.f64 y 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) (fma.f64 (neg.f64 x) x (*.f64 (-.f64 x y) y))) (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) (.f64 (.f64 y 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) (.f64 (.f64 y 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)

eval99.0ms (3.4%)

Memory: -42.8MiB live, 54.3MiB allocated
Compiler: Compiled 6 892 to 659 computations (90.4% saved)

prune51.0ms (1.8%)

Memory

11.7MiB live, 86.5MiB 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
▶	98.4%	(fma.f64 z y (*.f64 z x))
✓	100.0%	(*.f64 (+.f64 x y) z)
▶	53.6%	#s(approx (* (+ x y) z) (*.f64 z y))
▶	52.2%	#s(approx (* (+ x y) z) (*.f64 x z))

Compiler

Compiled 31 to 18 computations (41.9% saved)

simplify3.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB 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 z y)
cost-diff	0	#s(approx (* (+ x y) z) (*.f64 z y))
cost-diff	0	(*.f64 x z)
cost-diff	0	#s(approx (* (+ x y) z) (*.f64 x z))

Rules

6×	`lower-*.f32`
4×	`lower-+.f64`
4×	`lower-fma.f32`
4×	`lower-+.f32`
3×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
0	15	39
1	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 x z))
(*.f64 x z)
x
z
#s(approx (* (+ x y) z) (*.f64 z y))
(*.f64 z y)
z
y
(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 z y))
(*.f64 z y)
z
y
(fma.f64 z y (*.f64 z x))
(*.f64 z (+.f64 y x))
z
y
(*.f64 z x)
x

localize27.0ms (0.9%)

Memory

19.3MiB live, 56.7MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z x)
accuracy	1.0038952404222408	(fma.f64 z y (*.f64 z x))
accuracy	0	(*.f64 z y)
accuracy	29.707051558391733	#s(approx (* (+ x y) z) (*.f64 z y))
accuracy	0	(*.f64 x z)
accuracy	30.565933382511908	#s(approx (* (+ x y) z) (*.f64 x z))

Samples

19.0ms

256×

valid

Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 6.0ms (69.5% of total)

ival-add: 2.0ms (23.2% of total)

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

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

series13.0ms (0.5%)

Memory

-27.1MiB live, 18.2MiB allocated

Counts

6 → 180

Calls

Call 1

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

Calls

45 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(+ (* z y) (* z x))
1.0ms	z	@	0	(* x z)
0.0ms	x	@	inf	(* x z)
0.0ms	x	@	0	(* x z)
0.0ms	z	@	inf	(* x z)

simplify221.0ms (7.7%)

Memory

12.1MiB live, 171.8MiB allocated

Algorithm

1×	egg-herbie

Rules

1 792×	`lower-fma.f64`
1 792×	`lower-fma.f32`
1 120×	`lower-*.f64`
1 120×	`lower-*.f32`
767×	`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))
(* 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)
(* 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)
(* 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 z y)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
(* x z)
(*.f64 x z)
(* x (+ z (/ (* y z) x)))
(*.f64 (+.f64 x y) z)
(* x (+ z (/ (* y z) x)))
(*.f64 (+.f64 x y) z)
(* x (+ z (/ (* y z) x)))
(*.f64 (+.f64 x y) z)
(* x z)
(*.f64 x z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 x y) z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 x y) z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 x y) z)
(* x z)
(*.f64 x z)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
(* y z)
(*.f64 z y)
(* y (+ z (/ (* x z) y)))
(*.f64 (+.f64 x y) z)
(* y (+ z (/ (* x z) y)))
(*.f64 (+.f64 x y) z)
(* y (+ z (/ (* x z) y)))
(*.f64 (+.f64 x y) z)
(* y z)
(*.f64 z y)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 x y) z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 x y) z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) 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)
(*.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)
(*.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)
(*.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)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* y z)
(*.f64 z y)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
(* x z)
(*.f64 x z)
(* x (+ z (/ (* y z) x)))
(*.f64 (+.f64 x y) z)
(* x (+ z (/ (* y z) x)))
(*.f64 (+.f64 x y) z)
(* x (+ z (/ (* y z) x)))
(*.f64 (+.f64 x y) z)
(* x z)
(*.f64 x z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 x y) z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 x y) z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 x y) z)
(* x z)
(*.f64 x z)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
(* y z)
(*.f64 z y)
(* y (+ z (/ (* x z) y)))
(*.f64 (+.f64 x y) z)
(* y (+ z (/ (* x z) y)))
(*.f64 (+.f64 x y) z)
(* y (+ z (/ (* x z) y)))
(*.f64 (+.f64 x y) z)
(* y z)
(*.f64 z y)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 x y) z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 x y) z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* -1 (* z (+ (* -1 x) (* -1 y))))
(*.f64 (+.f64 x y) z)
(* -1 (* z (+ (* -1 x) (* -1 y))))
(*.f64 (+.f64 x y) z)
(* -1 (* z (+ (* -1 x) (* -1 y))))
(*.f64 (+.f64 x y) z)
(* -1 (* z (+ (* -1 x) (* -1 y))))
(*.f64 (+.f64 x y) z)
(* x z)
(*.f64 x z)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
(* y z)
(*.f64 z y)
(* y (+ z (/ (* x z) y)))
(*.f64 (+.f64 x y) z)
(* y (+ z (/ (* x z) y)))
(*.f64 (+.f64 x y) z)
(* y (+ z (/ (* x z) y)))
(*.f64 (+.f64 x y) z)
(* y z)
(*.f64 z y)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 x y) z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 x y) z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 x y) z)
(* y z)
(*.f64 z y)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
(* x z)
(*.f64 x z)
(* x (+ z (/ (* y z) x)))
(*.f64 (+.f64 x y) z)
(* x (+ z (/ (* y z) x)))
(*.f64 (+.f64 x y) z)
(* x (+ z (/ (* y z) x)))
(*.f64 (+.f64 x y) z)
(* x z)
(*.f64 x z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 x y) z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 x y) z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 x y) 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)
(*.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)
(*.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)
(*.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)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)

rewrite264.0ms (9.2%)

Memory

-5.6MiB live, 188.2MiB allocated

Rules

2 673×	`lower-fma.f32`
2 672×	`lower-fma.f64`
2 248×	`lower-*.f32`
2 245×	`lower-*.f64`
2 238×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
0	15	32
1	46	32
2	308	32
3	3268	32
0	8961	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 z y))
(*.f64 z y)
(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 (fma.f64 (.f64 (.f64 x x) z) z (.f64 (.f64 (.f64 z z) y) (-.f64 y x))) (.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 x x) z) z (.f64 (.f64 (.f64 z z) y) (-.f64 y x))) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) z) (.f64 (.f64 x x) z)) (.f64 (.f64 x x) z)) (.f64 (.f64 (.f64 (.f64 z z) x) (.f64 (.f64 z z) x)) (.f64 (.f64 z z) x)) (.f64 (.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 (.f64 y y) z) z)) (.f64 (.f64 (.f64 (.f64 z z) z) y) (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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 (.f64 z z) z) x) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 (.f64 z z) z) x) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 z z) z) y) (*.f64 y 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 (.f64 x x) z) z) (.f64 (.f64 z z) (fma.f64 y y (.f64 x x))) (.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 (.f64 y y) (*.f64 y 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 (-.f64 y x) y) y) (-.f64 y x)) (.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 x x) z) z (.f64 (.f64 (.f64 z z) y) (-.f64 y x))) (fma.f64 (.f64 (.f64 y y) z) z (.f64 (.f64 (neg.f64 z) x) (.f64 z (-.f64 x y)))))) (fma.f64 (.f64 (.f64 y y) z) z (.f64 (.f64 (neg.f64 z) x) (*.f64 z (-.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 z (-.f64 x y)) (.f64 z (-.f64 x y))) (.f64 z (-.f64 x y))) (.f64 (.f64 (.f64 (.f64 z z) z) x) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 (.f64 y y) z) z)))) (fma.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 z z) (.f64 z z)) (.f64 (.f64 y y) (.f64 y y)))))
(.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 (+.f64 y x)) (.f64 z (-.f64 x y))) (/.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 x x) z) z (.f64 (.f64 (.f64 z z) y) (-.f64 y x)))) (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 x x) z) z (.f64 (.f64 (.f64 z z) y) (-.f64 y x)))) (.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 (.f64 (neg.f64 (.f64 z (+.f64 y x))) (.f64 (-.f64 y x) z)) (/.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 x x) z) z (.f64 (.f64 (.f64 z z) y) (-.f64 y x))))))
(.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))
(.f64 (.f64 (.f64 (.f64 z (+.f64 y x)) z) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y x) z)))
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(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 (.f64 y y) z) z)) (.f64 (fma.f64 (.f64 (.f64 x x) z) z (.f64 (.f64 (.f64 z z) y) (-.f64 y x))) (.f64 (.f64 (.f64 z z) z) (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 z z) z) x) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 z z) z) x) (.f64 x x))) (.f64 (fma.f64 (.f64 (.f64 x x) z) z (.f64 (.f64 (.f64 z z) y) (-.f64 y x))) (.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 x x) z) z (.f64 (.f64 (.f64 z z) y) (-.f64 y x))))) (/.f64 (.f64 (.f64 (.f64 z z) z) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (.f64 (.f64 x x) z) z (.f64 (.f64 (.f64 z z) y) (-.f64 y x))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 (.f64 y y) (.f64 y y))) (.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 x x) z)) (.f64 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 z z) (.f64 z z)) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 (.f64 y y) z) z)) (fma.f64 (.f64 (.f64 (.f64 x x) z) z) (.f64 (.f64 z z) (fma.f64 y y (.f64 x x))) (.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 (.f64 y y) (.f64 y y))))) (.f64 (-.f64 y x) z)) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 z z) z) x) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 z z) z) x) (.f64 x x))) (fma.f64 (.f64 (.f64 (.f64 x x) z) z) (.f64 (.f64 z z) (fma.f64 y y (.f64 x x))) (.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 (.f64 y y) (.f64 y y))))) (.f64 (-.f64 y x) z)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 (.f64 y y) (.f64 y 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)))) (fma.f64 (.f64 (.f64 x x) z) z (.f64 (.f64 (.f64 z z) y) (-.f64 y x)))) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 z z) z) x) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 z z) z) x) (.f64 x x))) (.f64 (.f64 (.f64 z z) z) (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)))) (fma.f64 (.f64 (.f64 x x) z) z (.f64 (.f64 (.f64 z z) y) (-.f64 y x)))))
(-.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 y y) z) (/.f64 z (.f64 (-.f64 y x) z))) (.f64 (.f64 (.f64 x x) z) (/.f64 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 y y) z) (/.f64 z (.f64 (-.f64 y x) z))) (neg.f64 (.f64 (.f64 (.f64 x x) z) (/.f64 z (.f64 (-.f64 y x) z)))))
(+.f64 (.f64 z x) (.f64 z y))
(+.f64 (.f64 z y) (.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)))

eval41.0ms (1.4%)

Memory: 9.3MiB live, 81.2MiB allocated
Compiler: Compiled 8 767 to 612 computations (93% saved)

prune63.0ms (2.2%)

Memory

4.8MiB live, 61.2MiB 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
✓	98.4%	(fma.f64 z y (*.f64 z x))
✓	100.0%	(*.f64 (+.f64 x y) z)
✓	53.6%	#s(approx (* (+ x y) z) (*.f64 z y))
✓	52.2%	#s(approx (* (+ x y) z) (*.f64 x z))

Compiler

Compiled 53 to 27 computations (49.1% saved)

regimes23.0ms (0.8%)

Memory

-19.7MiB live, 18.2MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

14.0ms	z
2.0ms	x
2.0ms	y
2.0ms	(+.f64 x y)
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

17.1MiB live, 17.1MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
84.7%	2	`x`
84.9%	2	`y`
62.3%	3	`z`
98.4%	2	`(*.f64 (+.f64 x y) z)`
98.4%	2	`(+.f64 x y)`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes8.0ms (0.3%)

Memory

-19.7MiB live, 18.8MiB 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	y
1.0ms	(+.f64 x y)
1.0ms	z
1.0ms	(*.f64 (+.f64 x y) z)

Results

Accuracy	Segments	Branch
52.2%	1	`z`
52.2%	1	`x`
52.2%	1	`y`
52.2%	1	`(+.f64 x y)`
52.2%	1	`(*.f64 (+.f64 x y) z)`

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	-4.26964e-318	0.0

Compiler

Compiled 11 to 11 computations (0% saved)

simplify5.0ms (0.2%)

Memory

12.5MiB live, 12.5MiB allocated

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	18	40

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 (+.f64 x y) z) #s(literal -809609/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (* (+ x y) z) (*.f64 x z)) #s(approx (* (+ x y) z) (*.f64 z y)))

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

Outputs
(*.f64 (+.f64 x y) z)
(*.f64 z (+.f64 y x))
(if (<=.f64 (.f64 (+.f64 x y) z) #s(literal -809609/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx ( (+ x y) z) (.f64 x z)) #s(approx ( (+ x y) z) (*.f64 z y)))
(if (<=.f64 (.f64 z (+.f64 y x)) #s(literal -809609/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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))

soundness801.0ms (27.9%)

Memory

-9.8MiB live, 144.5MiB allocated

Rules

2 976×	`lower-fma.f64`
2 976×	`lower-fma.f32`
1 808×	`lower-*.f64`
1 808×	`lower-*.f32`
1 648×	`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 46 to 22 computations (52.2% saved)

preprocess131.0ms (4.6%)

Memory

17.4MiB live, 94.5MiB allocated

Remove

(sort x y)

(negabs z)

Compiler

Compiled 168 to 90 computations (46.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample512.0ms (17.8%)

explain44.0ms (1.5%)

preprocess41.0ms (1.4%)

eval0.0ms (0%)

prune2.0ms (0.1%)

simplify3.0ms (0.1%)

localize14.0ms (0.5%)

series4.0ms (0.1%)

simplify229.0ms (8%)

rewrite267.0ms (9.3%)

eval99.0ms (3.4%)

prune51.0ms (1.8%)

simplify3.0ms (0.1%)

localize27.0ms (0.9%)

series13.0ms (0.5%)

simplify221.0ms (7.7%)

rewrite264.0ms (9.2%)

eval41.0ms (1.4%)

prune63.0ms (2.2%)

regimes23.0ms (0.8%)

regimes8.0ms (0.3%)

regimes8.0ms (0.3%)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

soundness801.0ms (27.9%)

preprocess131.0ms (4.6%)

end0.0ms (0%)

Profiling