Metrics for Diagrams.Solve.Tridiagonal:solveCyclicTriDiagonal from diagrams-solve-0.1, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze37.0ms (1.3%)

Memory

28.1MiB live, 97.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 7 to 7 computations (0% saved)

sample629.0ms (23%)

Memory

-21.6MiB live, 945.4MiB allocated

Samples

400.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-mult: 102.0ms (55% of total)

ival-div: 75.0ms (40.4% of total)

ival-true: 6.0ms (3.2% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

explain120.0ms (4.4%)

Memory

0.6MiB live, 47.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
25	-	4	(-2.3140403416522996e-271 -2.528866300889022e-49 -2.4162631719376127e-243)	`(/.f64 (*.f64 x y) z)`
0	-	0	-	`y`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x y) z)`	u/n	11	0
↳	`(*.f64 x y)`	underflow	28
`/.f64`	`(/.f64 (*.f64 x y) z)`	o/n	10	0
↳	`(*.f64 x y)`	overflow	29

Confusion

	Predicted +	Predicted -
+	21	4
-	0	231

Precision

1.0

Recall

0.84

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	21	0	4
-	0	0	231

Precision?

1.0

Recall?

0.84

Freqs

test

number	freq
0	235
1	21

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

98.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

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

ival-div: 4.0ms (49.5% of total)

ival-mult: 4.0ms (49.5% of total)

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

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

preprocess57.0ms (2.1%)

Memory

6.6MiB live, 43.6MiB allocated

Algorithm

1×	egg-herbie

Rules

818×	`times-frac`
190×	`distribute-lft-in`
186×	`associate-*r/`
186×	`associate-/r*`
180×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	56
1	59	48
2	146	48
3	490	48
4	1227	48
5	1922	48
6	1976	48
7	1994	48
8	2034	48
9	2058	48
0	5	5
0	7	5
1	10	5
2	13	5
3	14	5
0	14	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 (*.f64 y x) z)

Symmetry

(negabs z)

(negabs y)

(negabs x)

(sort x y)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.3%	(/.f64 (*.f64 x y) z)

Compiler

Compiled 5 to 5 computations (0% saved)

simplify4.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

12×	`lower-*.f32`
10×	`lower-*.f64`
6×	`*-commutative`
6×	`lower-/.f32`
4×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	10	11
2	13	11
3	14	11
0	14	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 (*.f64 y x) z)
(*.f64 x y)
(*.f64 y x)
x
y
z

localize13.0ms (0.5%)

Memory

11.9MiB live, 11.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 x y)
accuracy	5.55713224372908	(/.f64 (*.f64 x y) z)

Samples

10.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (53.9% of total)

ival-mult: 2.0ms (53.9% of total)

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

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

series8.0ms (0.3%)

Memory

4.2MiB live, 4.2MiB 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 (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf z) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf z) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf z) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf z) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 y) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 y) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 y) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 y) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<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 (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<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 y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())

Calls

9 calls:

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

simplify4.0ms (0.1%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`lower-*.f64`
12×	`lower-*.f32`
6×	`*-commutative`
6×	`lower-/.f32`
6×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	252
1	8	252
2	11	252
3	12	252
0	12	252

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 60

Calls

Call 1

Inputs
(/ (* 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) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* x y)
(* x y)
(* x y)
(* x y)

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

rewrite130.0ms (4.7%)

Memory

-24.5MiB live, 102.8MiB allocated

Rules

1 066×	`lower-*.f32`
1 064×	`lower-*.f64`
848×	`lower-/.f32`
846×	`lower-/.f64`
234×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	18	8
2	71	8
3	361	8
0	2367	8

Stop Event

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

Counts

2 → 132

Calls

Call 1

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

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

eval24.0ms (0.9%)

Memory: 7.2MiB live, 44.1MiB allocated
Compiler: Compiled 1 723 to 296 computations (82.8% saved)

prune12.0ms (0.4%)

Memory

1.2MiB live, 38.5MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	185	7	192
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	185	8	193

Accuracy

100.0%

Counts

193 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.1%	(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
✓	91.3%	(/.f64 (*.f64 x y) z)
▶	91.1%	(/.f64 y (/.f64 z x))
▶	93.8%	(/.f64 x (/.f64 z y))
▶	91.2%	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))
▶	93.1%	(*.f64 (/.f64 y z) x)
▶	91.6%	(*.f64 (/.f64 x z) y)
	91.5%	(.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 y))

Compiler

Compiled 95 to 93 computations (2.1% saved)

simplify6.0ms (0.2%)

Memory

14.9MiB live, 14.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	-384	(/.f64 z (*.f64 y x))
cost-diff	0	(*.f64 y x)
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))
cost-diff	0	(/.f64 z x)
cost-diff	0	(/.f64 y (/.f64 z x))
cost-diff	-384	(*.f64 (/.f64 y z) x)
cost-diff	0	(/.f64 y z)
cost-diff	-384	(*.f64 (/.f64 x z) y)
cost-diff	0	(/.f64 x z)
cost-diff	0	(/.f64 z y)
cost-diff	0	(/.f64 x (/.f64 z y))

Rules

52×	`lower-*.f32`
46×	`lower-*.f64`
36×	`lower-/.f32`
32×	`associate-r`
22×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	63
0	26	61
1	36	61
2	46	61
3	64	61
4	93	61
5	101	61
0	101	61

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 x (/.f64 z y))
x
(/.f64 z y)
z
y
(*.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
(*.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x
(/.f64 y (/.f64 z x))
y
(/.f64 z x)
z
x
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))
#s(literal 1 binary64)
(/.f64 z (*.f64 y x))
z
(*.f64 y x)
y
x

Outputs
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
x
(/.f64 z y)
z
y
(*.f64 (/.f64 x z) y)
(/.f64 y (/.f64 z x))
(/.f64 x z)
x
z
y
(*.f64 (/.f64 y z) x)
(/.f64 y (/.f64 z x))
(/.f64 y z)
y
z
x
(/.f64 y (/.f64 z x))
y
(/.f64 z x)
z
x
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))
(/.f64 y (/.f64 z x))
#s(literal 1 binary64)
(/.f64 z (*.f64 y x))
(/.f64 (/.f64 z x) y)
z
(*.f64 y x)
y
x

localize57.0ms (2.1%)

Memory

-12.3MiB live, 72.6MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0.203125	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))
accuracy	5.590347009744296	(/.f64 z (*.f64 y x))
accuracy	0	(/.f64 z x)
accuracy	5.7166220386585636	(/.f64 y (/.f64 z x))
accuracy	0	(/.f64 y z)
accuracy	4.384543470595765	(*.f64 (/.f64 y z) x)
accuracy	0	(/.f64 x z)
accuracy	5.36569307472156	(*.f64 (/.f64 x z) y)
accuracy	0	(/.f64 z y)
accuracy	3.945327325169257	(/.f64 x (/.f64 z y))

Samples

47.0ms

256×

valid

Compiler

Compiled 65 to 17 computations (73.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 14.0ms (73.9% of total)

ival-mult: 4.0ms (21.1% of total)

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

exact: 0.0ms (0% of total)

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

series32.0ms (1.2%)

Memory

-3.7MiB live, 35.3MiB allocated

Counts

11 → 336

Calls

Call 1

Inputs
#s(alt (/.f64 x (/.f64 z y)) (patch (/.f64 x (/.f64 z y)) #<representation binary64>) () ())
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x z) y) (patch (.f64 (/.f64 x z) y) #<representation binary64>) () ())
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 y z) x) (patch (.f64 (/.f64 y z) x) #<representation binary64>) () ())
#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())
#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z (.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z (.f64 y x))) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())
#s(alt (/.f64 z (.f64 y x)) (patch (/.f64 z (.f64 y x)) #<representation binary64>) () ())

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

Calls

9 calls:

Time	Variable		Point	Expression
15.0ms	z	@	-inf	((/ x (/ z y)) (/ z y) (/ x z) (* (/ x z) y) (/ y z) (* (/ y z) x) (/ y (/ z x)) (/ z x) (/ 1 (/ z (* y x))) (* y x) (/ z (* y x)))
3.0ms	y	@	0	((/ x (/ z y)) (/ z y) (/ x z) (* (/ x z) y) (/ y z) (* (/ y z) x) (/ y (/ z x)) (/ z x) (/ 1 (/ z (* y x))) (* y x) (/ z (* y x)))
2.0ms	y	@	-inf	((/ x (/ z y)) (/ z y) (/ x z) (* (/ x z) y) (/ y z) (* (/ y z) x) (/ y (/ z x)) (/ z x) (/ 1 (/ z (* y x))) (* y x) (/ z (* y x)))
2.0ms	z	@	0	((/ x (/ z y)) (/ z y) (/ x z) (* (/ x z) y) (/ y z) (* (/ y z) x) (/ y (/ z x)) (/ z x) (/ 1 (/ z (* y x))) (* y x) (/ z (* y x)))
2.0ms	x	@	-inf	((/ x (/ z y)) (/ z y) (/ x z) (* (/ x z) y) (/ y z) (* (/ y z) x) (/ y (/ z x)) (/ z x) (/ 1 (/ z (* y x))) (* y x) (/ z (* y x)))

simplify94.0ms (3.4%)

Memory

-19.1MiB live, 17.7MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`lower-/.f32`
16×	`lower-/.f64`
12×	`lower-*.f64`
12×	`lower-*.f32`
6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	1440
1	13	1440
2	16	1440
3	17	1440
0	17	1440

Stop Event

1×	iter limit
1×	saturated

Counts

336 → 336

Calls

Call 1

Inputs
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y 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)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y 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)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y 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)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y 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) z)
(* x y)
(* x y)
(* x y)
(* x y)
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y 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) z)
(* x y)
(* x y)
(* x y)
(* x y)
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y 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) z)
(* x y)
(* x y)
(* x y)
(* x y)
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ x z)
(/ x z)
(/ x z)
(/ x 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) z)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* x y)
(* x y)
(* x y)
(* x y)
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ x z)
(/ x z)
(/ x z)
(/ x 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) z)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* x y)
(* x y)
(* x y)
(* x y)
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ x z)
(/ x z)
(/ x z)
(/ x 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) z)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* x y)
(* x y)
(* x y)
(* x y)
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))

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

rewrite165.0ms (6.1%)

Memory

11.7MiB live, 206.0MiB allocated

Rules

2 180×	`lower--.f32`
2 180×	`lower--.f64`
2 136×	`lower-*.f32`
2 130×	`lower-*.f64`
1 698×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	47
0	26	45
1	74	45
2	322	45
3	1695	45
4	6927	45
0	8343	45

Stop Event

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

Counts

11 → 990

Calls

Call 1

Inputs
(/.f64 x (/.f64 z y))
(/.f64 z y)
(/.f64 x z)
(*.f64 (/.f64 x z) y)
(/.f64 y z)
(*.f64 (/.f64 y z) x)
(/.f64 y (/.f64 z x))
(/.f64 z x)
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))
(*.f64 y x)
(/.f64 z (*.f64 y x))

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

eval183.0ms (6.7%)

Memory: 4.7MiB live, 352.1MiB allocated
Compiler: Compiled 14 772 to 1 522 computations (89.7% saved)

prune178.0ms (6.5%)

Memory

34.3MiB live, 152.8MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	1 324	2	1 326
Fresh	2	0	2
Picked	0	5	5
Done	0	1	1
Total	1 326	8	1 334

Accuracy

100.0%

Counts

1 334 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.3%	(/.f64 (*.f64 x y) z)
✓	91.1%	(/.f64 y (/.f64 z x))
✓	93.8%	(/.f64 x (/.f64 z y))
▶	93.7%	(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))
✓	91.2%	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))
✓	93.1%	(*.f64 (/.f64 y z) x)
✓	91.6%	(*.f64 (/.f64 x z) y)
▶	91.5%	(.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) y)

Compiler

Compiled 48 to 48 computations (0% saved)

simplify33.0ms (1.2%)

Memory

-26.5MiB live, 20.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 z)
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	384	(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))
cost-diff	448	(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))
cost-diff	0	(neg.f64 x)
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) y)
cost-diff	448	(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))

Rules

978×	`times-frac`
272×	`lower-fma.f64`
272×	`lower-fma.f32`
272×	`lower-*.f32`
266×	`lower-*.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	46
0	20	46
1	40	42
2	106	34
3	261	34
4	898	34
5	1606	34
6	1833	34
7	1844	34
8	1845	34
9	1845	34
0	1845	34

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) y)
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
(neg.f64 x)
x
y
(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))
x
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(neg.f64 z)
z

Outputs
(.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) y)
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))
(/.f64 x z)
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
(neg.f64 x)
x
y
(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))
(*.f64 y (/.f64 x z))
x
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))
(/.f64 z y)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(neg.f64 z)
z

localize169.0ms (6.2%)

Memory

-5.0MiB live, 72.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0	(neg.f64 z)
accuracy	0.19921875	(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))
accuracy	3.945327325169257	(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0	(neg.f64 x)
accuracy	0.20703125	(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))
accuracy	5.36569307472156	(.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) y)

Samples

161.0ms

256×

valid

Compiler

Compiled 48 to 14 computations (70.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 5.0ms (40.2% of total)

ival-mult: 5.0ms (40.2% of total)

ival-neg: 2.0ms (16.1% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.4%)

Memory

-4.7MiB live, 34.0MiB allocated

Counts

8 → 168

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) y) (patch (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)) (patch (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (/.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))) (patch (/.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	((* (/ -1 z) (neg x)) (* (* (/ -1 z) (neg x)) y) (/ -1 z) (neg x) (* (/ -1 y) (neg z)) (/ x (* (/ -1 y) (neg z))) (/ -1 y) (neg z))
1.0ms	z	@	-inf	((* (/ -1 z) (neg x)) (* (* (/ -1 z) (neg x)) y) (/ -1 z) (neg x) (* (/ -1 y) (neg z)) (/ x (* (/ -1 y) (neg z))) (/ -1 y) (neg z))
1.0ms	z	@	0	((* (/ -1 z) (neg x)) (* (* (/ -1 z) (neg x)) y) (/ -1 z) (neg x) (* (/ -1 y) (neg z)) (/ x (* (/ -1 y) (neg z))) (/ -1 y) (neg z))
1.0ms	x	@	-inf	((* (/ -1 z) (neg x)) (* (* (/ -1 z) (neg x)) y) (/ -1 z) (neg x) (* (/ -1 y) (neg z)) (/ x (* (/ -1 y) (neg z))) (/ -1 y) (neg z))
1.0ms	x	@	inf	((* (/ -1 z) (neg x)) (* (* (/ -1 z) (neg x)) y) (/ -1 z) (neg x) (* (/ -1 y) (neg z)) (/ x (* (/ -1 y) (neg z))) (/ -1 y) (neg z))

simplify8.0ms (0.3%)

Memory

18.3MiB live, 18.3MiB allocated

Algorithm

1×	egg-herbie

Rules

32×	`lower-+.f64`
32×	`lower-+.f32`
20×	`lower-*.f64`
20×	`lower-fma.f64`
20×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	624
1	19	624
2	24	624
3	27	624
4	30	624
5	34	624
6	41	624
7	60	624
8	74	624
9	76	624
0	76	624

Stop Event

1×	iter limit
1×	saturated

Counts

168 → 168

Calls

Call 1

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

Outputs
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))

rewrite123.0ms (4.5%)

Memory

-23.6MiB live, 230.4MiB allocated

Rules

2 304×	`lower-fma.f64`
2 304×	`lower-fma.f32`
1 584×	`lower-*.f32`
1 578×	`lower-*.f64`
1 372×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	38
0	20	38
1	59	34
2	300	26
3	1832	25
4	7945	25
0	8514	25

Stop Event

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

Counts

8 → 1 180

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) y)
(/.f64 #s(literal -1 binary64) z)
(neg.f64 x)
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))
(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))
(/.f64 #s(literal -1 binary64) y)
(neg.f64 z)

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

eval147.0ms (5.4%)

Memory: 17.0MiB live, 320.5MiB allocated
Compiler: Compiled 18 715 to 1 933 computations (89.7% saved)

prune32.0ms (1.2%)

Memory

17.9MiB live, 95.8MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	1 348	0	1 348
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	1 348	8	1 356

Accuracy

100.0%

Counts

1 356 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.3%	(/.f64 (*.f64 x y) z)
✓	91.1%	(/.f64 y (/.f64 z x))
✓	93.8%	(/.f64 x (/.f64 z y))
✓	93.7%	(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))
✓	91.2%	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))
✓	93.1%	(*.f64 (/.f64 y z) x)
✓	91.6%	(*.f64 (/.f64 x z) y)
✓	91.5%	(.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) y)

Compiler

Compiled 114 to 80 computations (29.8% saved)

regimes20.0ms (0.7%)

Memory

-5.8MiB live, 42.6MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 y z) x)
(/.f64 (*.f64 x y) z)
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) y)
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))
(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 y))

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

Calls

5 calls:

6.0ms	(/.f64 (*.f64 x y) z)
4.0ms	y
3.0ms	x
3.0ms	z
3.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
93.8%	1	`x`
99.1%	3	`y`
99.8%	2	`z`
99.8%	2	`(/.f64 (*.f64 x y) z)`
99.8%	3	`(*.f64 x y)`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes8.0ms (0.3%)

Memory

-20.6MiB live, 18.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	y
1.0ms	z
1.0ms	x
1.0ms	(*.f64 x y)
1.0ms	(/.f64 (*.f64 x y) z)

Results

Accuracy	Segments	Branch
91.6%	1	`x`
91.6%	1	`y`
91.6%	1	`(*.f64 x y)`
91.6%	1	`(/.f64 (*.f64 x y) z)`
91.6%	1	`z`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

bsearch5.0ms (0.2%)

Memory

16.4MiB live, 16.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
5.0ms	7.880297370171207e-14	4.296484150146192e-13

Samples

2.0ms

64×

valid

Compiler

Compiled 48 to 59 computations (-22.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

simplify23.0ms (0.8%)

Memory

-15.2MiB live, 63.5MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`-commutative-binary64-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	12	19

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 z #s(literal 3961408125713217/9903520314283042199192993792 binary64)) (.f64 (/.f64 x z) y) (.f64 (/.f64 y z) x))
(*.f64 (/.f64 x z) y)

Outputs
(if (<=.f64 z #s(literal 3961408125713217/9903520314283042199192993792 binary64)) (.f64 (/.f64 x z) y) (.f64 (/.f64 y z) x))
(if (<=.f64 z #s(literal 3961408125713217/9903520314283042199192993792 binary64)) (.f64 y (/.f64 x z)) (.f64 (/.f64 y z) x))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))

soundness106.0ms (3.9%)

Memory

6.1MiB live, 108.4MiB allocated

Rules

1 066×	`lower-*.f32`
1 064×	`lower-*.f64`
848×	`lower-/.f32`
846×	`lower-/.f64`
234×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	18	8
2	71	8
3	361	8
0	2367	8

Stop Event

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

Compiler

Compiled 49 to 31 computations (36.7% saved)

preprocess294.0ms (10.7%)

Memory: 2.3MiB live, 470.6MiB allocated
Compiler: Compiled 318 to 220 computations (30.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	624
1	19	624
2	24	624
3	27	624
4	30	624
5	34	624
6	41	624
7	60	624
8	74	624
9	76	624
0	76	624

Iter	Nodes	Cost
0	12	624
1	19	624
2	24	624
3	27	624
4	30	624
5	34	624
6	41	624
7	60	624
8	74	624
9	76	624
0	76	624

start0.0ms (0%)

analyze37.0ms (1.3%)

sample629.0ms (23%)

explain120.0ms (4.4%)

preprocess57.0ms (2.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize13.0ms (0.5%)

series8.0ms (0.3%)

simplify4.0ms (0.1%)

rewrite130.0ms (4.7%)

eval24.0ms (0.9%)

prune12.0ms (0.4%)

simplify6.0ms (0.2%)

localize57.0ms (2.1%)

series32.0ms (1.2%)

simplify94.0ms (3.4%)

rewrite165.0ms (6.1%)

eval183.0ms (6.7%)

prune178.0ms (6.5%)

simplify33.0ms (1.2%)

localize169.0ms (6.2%)

series12.0ms (0.4%)

simplify8.0ms (0.3%)

rewrite123.0ms (4.5%)

eval147.0ms (5.4%)

prune32.0ms (1.2%)

regimes20.0ms (0.7%)

regimes8.0ms (0.3%)

bsearch5.0ms (0.2%)

simplify23.0ms (0.8%)

soundness106.0ms (3.9%)

preprocess294.0ms (10.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	624
1	19	624
2	24	624
3	27	624
4	30	624
5	34	624
6	41	624
7	60	624
8	74	624
9	76	624
0	76	624