Metrics for Diagrams.Solve.Tridiagonal:solveTriDiagonal from diagrams-solve-0.1, C

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample985.0ms (37.7%)

Memory

18.0MiB live, 1 110.7MiB allocated

Samples

583.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 240.0ms

ival-mult: 149.0ms (62.2% of total)

ival-sub: 79.0ms (33% of total)

ival-true: 8.0ms (3.3% of total)

ival-assert: 4.0ms (1.7% of total)

Bogosity

explain82.0ms (3.1%)

Memory

-11.2MiB live, 69.2MiB allocated

FPErrors

Click to see full error table

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

45.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (53% of total)

ival-sub: 3.0ms (39.7% of total)

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

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

preprocess29.0ms (1.1%)

Memory

13.6MiB live, 52.0MiB allocated

Algorithm

1×	egg-herbie

Rules

144×	`lower-fma.f64`
144×	`lower-fma.f32`
98×	`sub-neg`
96×	`lower-*.f32`
94×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	48
1	65	48
2	125	48
3	269	48
4	441	48
5	493	48
6	495	48
0	5	5
0	7	5
1	13	5
2	25	5
3	37	5
4	52	5
5	76	5
6	116	5
7	150	5
8	192	5
9	217	5
10	233	5
0	233	5

Stop Event

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

Calls

Call 1

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

Outputs
(-.f64 x (*.f64 y z))
(fma.f64 (neg.f64 z) y x)

Symmetry

(sort y z)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify12.0ms (0.4%)

Memory

-23.1MiB live, 14.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

144×	`lower-fma.f64`
144×	`lower-fma.f32`
96×	`lower-*.f32`
94×	`lower-*.f64`
48×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	13	11
2	25	11
3	37	11
4	52	11
5	76	11
6	116	11
7	150	11
8	192	11
9	217	11
10	233	11
0	233	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(-.f64 x (*.f64 y z))
(fma.f64 (neg.f64 z) y x)
x
(*.f64 y z)
(*.f64 z y)
y
z

localize13.0ms (0.5%)

Memory

22.5MiB live, 22.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(-.f64 x (*.f64 y z))
accuracy	0	(*.f64 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 (59.9% of total)

ival-sub: 1.0ms (29.9% of total)

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

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

series4.0ms (0.2%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

2 → 60

Calls

Call 1

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

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

Calls

9 calls:

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

simplify163.0ms (6.2%)

Memory

-27.5MiB live, 143.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 196×	`lower-fma.f64`
12 196×	`lower-fma.f32`
2 412×	`lower-*.f64`
2 412×	`lower-*.f32`
2 050×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	231
1	96	231
2	229	231
3	777	231
4	2183	231
5	3289	231
6	4321	231
7	5328	231
8	6178	231
9	6433	231
10	6654	231
11	7617	231
0	8215	231

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 56

Calls

Call 1

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

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

rewrite282.0ms (10.8%)

Memory

-14.1MiB live, 266.4MiB allocated

Rules

7 952×	`lower-fma.f64`
7 952×	`lower-fma.f32`
3 972×	`lower-/.f64`
3 972×	`lower-/.f32`
3 636×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	26	8
2	183	8
3	1707	8
0	8472	8

Stop Event

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

Counts

2 → 202

Calls

Call 1

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

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

eval59.0ms (2.2%)

Memory: 14.4MiB live, 50.5MiB allocated
Compiler: Compiled 7 413 to 576 computations (92.2% saved)

prune6.0ms (0.2%)

Memory

19.5MiB live, 19.5MiB allocated

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	257	1	258
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	257	2	259

Accuracy

100.0%

Counts

259 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (*.f64 y z))
▶	54.1%	#s(approx (- x (* y z)) (*.f64 (neg.f64 z) y))

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify22.0ms (0.8%)

Memory

-20.5MiB live, 16.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) y)
cost-diff	0	#s(approx (- x (* y z)) (*.f64 (neg.f64 z) y))

Rules

144×	`lower-fma.f64`
144×	`lower-fma.f32`
96×	`lower-*.f32`
94×	`lower-*.f64`
48×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
0	10	18
1	23	18
2	33	18
3	46	18
4	63	18
5	85	18
6	127	18
7	159	18
8	193	18
9	218	18
10	234	18
0	234	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize22.0ms (0.8%)

Memory

4.1MiB live, 48.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (neg.f64 z) y)
accuracy	0	(neg.f64 z)
accuracy	29.372027350656154	#s(approx (- x (* y z)) (*.f64 (neg.f64 z) y))

Samples

17.0ms

256×

valid

Compiler

Compiled 15 to 9 computations (40% saved)

Precisions

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

ival-mult: 7.0ms (70% of total)

ival-sub: 1.0ms (10% of total)

ival-neg: 1.0ms (10% of total)

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

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

series4.0ms (0.2%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs

#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())

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

#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())

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

Calls

9 calls:

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

simplify198.0ms (7.6%)

Memory

-46.7MiB live, 137.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 196×	`lower-fma.f64`
12 196×	`lower-fma.f32`
2 412×	`lower-*.f64`
2 412×	`lower-*.f32`
2 050×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	279
1	96	279
2	229	279
3	776	279
4	2171	279
5	3291	279
6	4316	279
7	5324	279
8	6174	279
9	6430	279
10	6653	279
11	7602	279
0	8200	279

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 68

Calls

Call 1

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

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

rewrite237.0ms (9.1%)

Memory

18.1MiB live, 211.3MiB allocated

Rules

8 276×	`lower-fma.f64`
8 276×	`lower-fma.f32`
4 048×	`lower-/.f64`
4 048×	`lower-/.f32`
3 870×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
0	10	16
1	36	16
2	201	16
3	1856	16
0	8416	16

Stop Event

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

Counts

3 → 95

Calls

Call 1

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

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

eval18.0ms (0.7%)

Memory: 10.0MiB live, 45.4MiB allocated
Compiler: Compiled 1 601 to 346 computations (78.4% saved)

prune12.0ms (0.4%)

Memory

-2.2MiB live, 34.9MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	163	2	165

Accuracy

100.0%

Counts

165 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (*.f64 y z))
✓	54.1%	#s(approx (- x (* y z)) (*.f64 (neg.f64 z) y))

Compiler

Compiled 20 to 19 computations (5% saved)

regimes8.0ms (0.3%)

Memory

27.8MiB live, 27.8MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes11.0ms (0.4%)

Memory

-26.9MiB live, 19.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	(*.f64 y z)
1.0ms	x
1.0ms	y
1.0ms	z
1.0ms	(-.f64 x (*.f64 y z))

Results

Accuracy	Segments	Branch
54.1%	1	`x`
54.1%	1	`y`
54.1%	1	`z`
54.1%	1	`(-.f64 x (*.f64 y z))`
54.1%	1	`(*.f64 y z)`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

simplify25.0ms (1%)

Memory

-9.7MiB live, 62.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`-commutative-binary64-.f64`
8×	`+-commutative-binary64-+.f64`
8×	`sub-neg-binary64-neg.f64-+.f64--.f64`
6×	`neg-sub0-binary64--.f64-neg.f64`
6×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	23	15
2	31	15
3	36	15
4	38	15

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness334.0ms (12.8%)

Memory

7.1MiB live, 121.3MiB allocated

Rules

12 196×	`lower-fma.f64`
12 196×	`lower-fma.f32`
2 412×	`lower-*.f64`
2 412×	`lower-*.f32`
2 050×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	231
1	96	231
2	229	231
3	777	231
4	2183	231
5	3289	231
6	4321	231
7	5328	231
8	6178	231
9	6433	231
10	6654	231
11	7617	231
0	8215	231

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 14 to 13 computations (7.1% saved)

preprocess87.0ms (3.3%)

Memory: 34.0MiB live, 155.0MiB allocated
Remove: (sort y z)
Compiler: Compiled 84 to 62 computations (26.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	21	48
1	65	48
2	125	48
3	269	48
4	441	48
5	493	48
6	495	48
0	5	5
0	7	5
1	13	5
2	25	5
3	37	5
4	52	5
5	76	5
6	116	5
7	150	5
8	192	5
9	217	5
10	233	5
0	233	5

Iter	Nodes	Cost
0	5	11
0	7	11
1	13	11
2	25	11
3	37	11
4	52	11
5	76	11
6	116	11
7	150	11
8	192	11
9	217	11
10	233	11
0	233	11

Iter	Nodes	Cost
0	8	18
0	10	18
1	23	18
2	33	18
3	46	18
4	63	18
5	85	18
6	127	18
7	159	18
8	193	18
9	218	18
10	234	18
0	234	18

Iter	Nodes	Cost
0	21	48
1	65	48
2	125	48
3	269	48
4	441	48
5	493	48
6	495	48
0	5	5
0	7	5
1	13	5
2	25	5
3	37	5
4	52	5
5	76	5
6	116	5
7	150	5
8	192	5
9	217	5
10	233	5
0	233	5

Iter	Nodes	Cost
0	5	11
0	7	11
1	13	11
2	25	11
3	37	11
4	52	11
5	76	11
6	116	11
7	150	11
8	192	11
9	217	11
10	233	11
0	233	11

Iter	Nodes	Cost
0	8	18
0	10	18
1	23	18
2	33	18
3	46	18
4	63	18
5	85	18
6	127	18
7	159	18
8	193	18
9	218	18
10	234	18
0	234	18

start0.0ms (0%)

analyze0.0ms (0%)

sample985.0ms (37.7%)

explain82.0ms (3.1%)

preprocess29.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify12.0ms (0.4%)

localize13.0ms (0.5%)

series4.0ms (0.2%)

simplify163.0ms (6.2%)

rewrite282.0ms (10.8%)

eval59.0ms (2.2%)

prune6.0ms (0.2%)

simplify22.0ms (0.8%)

localize22.0ms (0.8%)

series4.0ms (0.2%)

simplify198.0ms (7.6%)

rewrite237.0ms (9.1%)

eval18.0ms (0.7%)

prune12.0ms (0.4%)

regimes8.0ms (0.3%)

regimes11.0ms (0.4%)

simplify25.0ms (1%)

soundness334.0ms (12.8%)

preprocess87.0ms (3.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	21	48
1	65	48
2	125	48
3	269	48
4	441	48
5	493	48
6	495	48
0	5	5
0	7	5
1	13	5
2	25	5
3	37	5
4	52	5
5	76	5
6	116	5
7	150	5
8	192	5
9	217	5
10	233	5
0	233	5

Iter	Nodes	Cost
0	5	11
0	7	11
1	13	11
2	25	11
3	37	11
4	52	11
5	76	11
6	116	11
7	150	11
8	192	11
9	217	11
10	233	11
0	233	11

Iter	Nodes	Cost
0	8	18
0	10	18
1	23	18
2	33	18
3	46	18
4	63	18
5	85	18
6	127	18
7	159	18
8	193	18
9	218	18
10	234	18
0	234	18