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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze35.0ms (1%)

Memory

10.1MiB live, 47.0MiB 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)

sample652.0ms (17.6%)

Memory

41.0MiB live, 857.4MiB allocated

Samples

423.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 164.0ms

ival-mult: 89.0ms (54.3% of total)

ival-div: 66.0ms (40.3% of total)

ival-true: 6.0ms (3.7% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

explain51.0ms (1.4%)

Memory

-1.9MiB live, 112.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
20	-	1	(-2.858371086404159e-119 9.354032432953057e-206 -2.735751517851526e-73)	`(/.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)`	o/n	13	0
↳	`(*.f64 x y)`	overflow	35
`/.f64`	`(/.f64 (*.f64 x y) z)`	u/n	6	0
↳	`(*.f64 x y)`	underflow	27

Confusion

	Predicted +	Predicted -
+	19	1
-	0	236

Precision

1.0

Recall

0.95

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	19	0	1
-	0	0	236

Precision?

1.0

Recall?

0.95

Freqs

test

number	freq
0	237
1	19

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms

512×

valid

Compiler

Compiled 34 to 19 computations (44.1% saved)

Precisions

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

ival-div: 4.0ms (50.1% of total)

ival-mult: 4.0ms (50.1% of total)

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

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

preprocess55.0ms (1.5%)

Memory

5.6MiB live, 41.9MiB 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 8 to 5 computations (37.5% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.5%	(/.f64 (*.f64 x y) z)

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify4.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB 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

localize23.0ms (0.6%)

Memory

-0.6MiB live, 37.3MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 x y)
accuracy	4.810154419859563	(/.f64 (*.f64 x y) z)

Samples

20.0ms

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 (53.7% of total)

ival-mult: 2.0ms (53.7% of total)

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

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

series10.0ms (0.3%)

Memory

-17.1MiB live, 19.3MiB 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
3.0ms	z	@	-inf	((/ (* x y) z) (* x y))
1.0ms	x	@	0	((/ (* x y) z) (* x y))
1.0ms	x	@	-inf	((/ (* x y) z) (* x y))
1.0ms	y	@	-inf	((/ (* x y) z) (* x y))
1.0ms	y	@	0	((/ (* x y) z) (* x y))

simplify5.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB 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)

rewrite110.0ms (3%)

Memory

-48.6MiB live, 141.0MiB 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 (.f64 (.f64 z z) z))) (*.f64 z z))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 z x)) (neg.f64 y))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x)) (neg.f64 y))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (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)) (/.f64 #s(literal 1 binary64) (.f64 y x))))
(*.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 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 y z))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 y x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #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)) (/.f64 #s(literal 1 binary64) (.f64 y x))))
(.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 (/.f64 #s(literal 1 binary64) y) #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 #s(literal -1 binary64) (.f64 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 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 #s(literal 1 binary64) z) (.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) (/.f64 #s(literal 1 binary64) z))
(*.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 (.f64 (.f64 (.f64 y x) y) x)) (/.f64 #s(literal -1 binary64) z)) (*.f64 y x))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x))) (/.f64 #s(literal -1 binary64) z)) (.f64 (.f64 (*.f64 y x) y) x))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (.f64 (.f64 (.f64 y x) y) x))) (*.f64 y x))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x)))) (.f64 (.f64 (*.f64 y x) y) x))
(/.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 (.f64 (.f64 (.f64 y x) y) x))) (.f64 z (.f64 y x)))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x)))) (.f64 z (.f64 (.f64 (.f64 y x) y) x)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 (.f64 y x) y) x))) (.f64 (neg.f64 z) (.f64 y x)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x)))) (.f64 (neg.f64 z) (.f64 (.f64 (.f64 y x) y) x)))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 (.f64 y x) y) x)) #s(literal -1 binary64)) (.f64 (.f64 y x) z))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 (.f64 y x) y) x)) #s(literal 1 binary64)) (.f64 (.f64 y x) (neg.f64 z)))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x))) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (.f64 y x) y) x) z))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 y x) y) x) (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 (neg.f64 z) (.f64 y x))) (neg.f64 z)) (.f64 (neg.f64 z) (/.f64 (neg.f64 z) (.f64 y x))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 y x) y) x)) (.f64 (neg.f64 z) (*.f64 y x)))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x))) (.f64 (neg.f64 z) (.f64 (.f64 (*.f64 y x) y) x)))
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y))
(/.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 #s(literal -1 binary64) (*.f64 y x)))
(/.f64 (neg.f64 y) (/.f64 (neg.f64 z) x))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) (*.f64 y x)))
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.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 (/.f64 #s(literal 1 binary64) (.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #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 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #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))) (.f64 (.f64 (.f64 y x) y) x))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 (.f64 y x) y) x) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (.f64 y x) y) x))) (.f64 y x))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x)))) (.f64 (.f64 (.f64 y x) y) x))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 y x) y) x))) (*.f64 y x))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x)))) (.f64 (.f64 (*.f64 y x) y) x))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 y x) y) x)) (.f64 (neg.f64 x) y))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x))) (.f64 #s(literal -1 binary64) (.f64 (.f64 (*.f64 y x) y) x)))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x))) (neg.f64 (.f64 (.f64 (.f64 y x) y) x)))
(/.f64 #s(literal 1 binary64) (/.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))
(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 (/.f64 #s(literal 1 binary64) (.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) #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 (/.f64 #s(literal 1 binary64) (.f64 y x))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y x))
(+.f64 (*.f64 y x) #s(literal 0 binary64))

eval18.0ms (0.5%)

Memory: 12.7MiB live, 51.2MiB allocated
Compiler: Compiled 1 846 to 294 computations (84.1% saved)

prune20.0ms (0.5%)

Memory

16.2MiB live, 55.2MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	187	5	192
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	187	6	193

Accuracy

100.0%

Counts

193 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.5%	(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
✓	92.5%	(/.f64 (*.f64 x y) z)
▶	90.3%	(/.f64 y (/.f64 z x))
▶	94.6%	(*.f64 (/.f64 y z) x)
▶	90.4%	(*.f64 (/.f64 x z) y)
▶	92.3%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y x))

Compiler

Compiled 96 to 63 computations (34.4% saved)

simplify17.0ms (0.5%)

Memory

-28.2MiB live, 15.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 y z)
cost-diff	1088	(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(/.f64 z x)
cost-diff	384	(/.f64 y (/.f64 z x))
cost-diff	0	(*.f64 y x)
cost-diff	0	(/.f64 #s(literal 1 binary64) z)
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y x))
cost-diff	0	(/.f64 x z)
cost-diff	0	(*.f64 (/.f64 x z) y)
cost-diff	0	(/.f64 y z)
cost-diff	0	(*.f64 (/.f64 y z) x)

Rules

72×	`times-frac`
68×	`lower-*.f32`
60×	`lower-*.f64`
44×	`lower-/.f32`
30×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	67
0	26	63
1	42	63
2	64	63
3	117	63
4	154	63
5	177	63
0	177	63

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize39.0ms (1.1%)

Memory

7.8MiB live, 86.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y z)
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	3.524918782377411	(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
accuracy	0	(/.f64 z x)
accuracy	6.2267197505555245	(/.f64 y (/.f64 z x))
accuracy	0	(/.f64 #s(literal 1 binary64) z)
accuracy	0	(*.f64 y x)
accuracy	4.907810669859563	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y x))
accuracy	0	(/.f64 x z)
accuracy	6.174175957139502	(*.f64 (/.f64 x z) y)
accuracy	0	(/.f64 y z)
accuracy	3.4819500323774104	(*.f64 (/.f64 y z) x)

Samples

30.0ms

256×

valid

Compiler

Compiled 69 to 17 computations (75.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 11.0ms (63.5% of total)

ival-mult: 5.0ms (28.9% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.5%)

Memory

-1.3MiB live, 37.6MiB allocated

Counts

11 → 300

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((* (/ y z) x) (/ y z) (* (/ x z) y) (/ x z) (* (/ 1 z) (* y x)) (/ 1 z) (* y x) (/ y (/ z x)) (/ z x) (/ (/ y z) (/ 1 x)) (/ 1 x))
2.0ms	z	@	-inf	((* (/ y z) x) (/ y z) (* (/ x z) y) (/ x z) (* (/ 1 z) (* y x)) (/ 1 z) (* y x) (/ y (/ z x)) (/ z x) (/ (/ y z) (/ 1 x)) (/ 1 x))
1.0ms	x	@	-inf	((* (/ y z) x) (/ y z) (* (/ x z) y) (/ x z) (* (/ 1 z) (* y x)) (/ 1 z) (* y x) (/ y (/ z x)) (/ z x) (/ (/ y z) (/ 1 x)) (/ 1 x))
1.0ms	z	@	0	((* (/ y z) x) (/ y z) (* (/ x z) y) (/ x z) (* (/ 1 z) (* y x)) (/ 1 z) (* y x) (/ y (/ z x)) (/ z x) (/ (/ y z) (/ 1 x)) (/ 1 x))
1.0ms	y	@	-inf	((* (/ y z) x) (/ y z) (* (/ x z) y) (/ x z) (* (/ 1 z) (* y x)) (/ 1 z) (* y x) (/ y (/ z x)) (/ z x) (/ (/ y z) (/ 1 x)) (/ 1 x))

simplify8.0ms (0.2%)

Memory

19.1MiB live, 19.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	1260
1	15	1260
2	17	1260
3	18	1260
0	18	1260

Stop Event

1×	iter limit
1×	saturated

Counts

300 → 300

Calls

Call 1

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

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

rewrite149.0ms (4%)

Memory

-19.2MiB live, 216.7MiB allocated

Rules

2 544×	`lower-*.f32`
2 536×	`lower-*.f64`
2 246×	`lower--.f32`
2 246×	`lower--.f64`
2 018×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	47
0	26	43
1	78	43
2	341	43
3	1772	43
4	6518	43
0	8406	43

Stop Event

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

Counts

11 → 1 029

Calls

Call 1

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

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

eval475.0ms (12.8%)

Memory: 8.0MiB live, 301.4MiB allocated
Compiler: Compiled 16 010 to 1 394 computations (91.3% saved)

prune186.0ms (5%)

Memory

-24.0MiB live, 178.8MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	1 421	2	1 423
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	1 421	8	1 429

Accuracy

100.0%

Counts

1 429 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.5%	(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
✓	92.5%	(/.f64 (*.f64 x y) z)
✓	90.3%	(/.f64 y (/.f64 z x))
✓	94.6%	(*.f64 (/.f64 y z) x)
✓	90.4%	(*.f64 (/.f64 x z) y)
✓	92.3%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y x))
▶	91.9%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))
▶	94.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x)

Compiler

Compiled 76 to 50 computations (34.2% saved)

simplify7.0ms (0.2%)

Memory

11.4MiB live, 11.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(/.f64 #s(literal 1 binary64) z)
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x))
cost-diff	1600	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))
cost-diff	0	(/.f64 #s(literal 1 binary64) z)
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x)
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) z) y)

Rules

106×	`lower-*.f32`
96×	`lower-*.f64`
66×	`associate-r`
38×	`associate-l`
24×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	49
0	18	45
1	35	37
2	82	37
3	120	37
4	121	37
5	122	37
0	122	37

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize29.0ms (0.8%)

Memory

15.6MiB live, 53.1MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(sqrt.f64 x)
accuracy	0.25390625	(*.f64 y (sqrt.f64 x))
accuracy	0.33822250976844204	(*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x))
accuracy	4.967553273546562	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))
accuracy	0	(/.f64 #s(literal 1 binary64) z)
accuracy	0.25390625	(*.f64 (/.f64 #s(literal 1 binary64) z) y)
accuracy	3.4819500323774104	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x)

Samples

22.0ms

256×

valid

Compiler

Compiled 51 to 13 computations (74.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 8.0ms (64% of total)

ival-div: 2.0ms (16% of total)

ival-sqrt: 2.0ms (16% of total)

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

exact: 0.0ms (0% of total)

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

series41.0ms (1.1%)

Memory

-14.4MiB live, 23.7MiB allocated

Counts

7 → 168

Calls

Call 1

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

Outputs
#s(alt (/ y z) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x) #<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 (/ (* x y) z) (taylor 0 z) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (.f64 y (sqrt.f64 x))) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (.f64 y (sqrt.f64 x))) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (.f64 y (sqrt.f64 x))) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (.f64 y (sqrt.f64 x))) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 z)) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 z)) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 z)) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 z)) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x) #<representation binary64>) () ())) ())
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#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 x) (#s(alt (.f64 y (sqrt.f64 x)) (patch (.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 x) (#s(alt (.f64 y (sqrt.f64 x)) (patch (.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 x) (#s(alt (.f64 y (sqrt.f64 x)) (patch (.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 x) (#s(alt (.f64 y (sqrt.f64 x)) (patch (.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (.f64 y (sqrt.f64 x))) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (.f64 y (sqrt.f64 x))) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (.f64 y (sqrt.f64 x))) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (.f64 y (sqrt.f64 x))) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 z)) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 z)) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 z)) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 z)) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf x) (#s(alt (.f64 y (sqrt.f64 x)) (patch (.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf x) (#s(alt (.f64 y (sqrt.f64 x)) (patch (.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf x) (#s(alt (.f64 y (sqrt.f64 x)) (patch (.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf x) (#s(alt (.f64 y (sqrt.f64 x)) (patch (.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (* y (pow (sqrt -1) 2))) z)) (taylor -inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (.f64 y (sqrt.f64 x))) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (* y (pow (sqrt -1) 2))) z)) (taylor -inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (.f64 y (sqrt.f64 x))) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (* y (pow (sqrt -1) 2))) z)) (taylor -inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (.f64 y (sqrt.f64 x))) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (* y (pow (sqrt -1) 2))) z)) (taylor -inf x) (#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (.f64 y (sqrt.f64 x))) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) z))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) z))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) z))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) z))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (patch (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (.f64 y (sqrt.f64 x)) (patch (.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (.f64 y (sqrt.f64 x)) (patch (.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (.f64 y (sqrt.f64 x)) (patch (.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (.f64 y (sqrt.f64 x)) (patch (.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
28.0ms	y	@	inf	((* (/ 1 z) y) (* (* (/ 1 z) y) x) (/ 1 z) (* (* (/ 1 z) (sqrt x)) (* y (sqrt x))) (* (/ 1 z) (sqrt x)) (sqrt x) (* y (sqrt x)))
3.0ms	x	@	-inf	((* (/ 1 z) y) (* (* (/ 1 z) y) x) (/ 1 z) (* (* (/ 1 z) (sqrt x)) (* y (sqrt x))) (* (/ 1 z) (sqrt x)) (sqrt x) (* y (sqrt x)))
1.0ms	y	@	-inf	((* (/ 1 z) y) (* (* (/ 1 z) y) x) (/ 1 z) (* (* (/ 1 z) (sqrt x)) (* y (sqrt x))) (* (/ 1 z) (sqrt x)) (sqrt x) (* y (sqrt x)))
1.0ms	z	@	0	((* (/ 1 z) y) (* (* (/ 1 z) y) x) (/ 1 z) (* (* (/ 1 z) (sqrt x)) (* y (sqrt x))) (* (/ 1 z) (sqrt x)) (sqrt x) (* y (sqrt x)))
1.0ms	z	@	-inf	((* (/ 1 z) y) (* (* (/ 1 z) y) x) (/ 1 z) (* (* (/ 1 z) (sqrt x)) (* y (sqrt x))) (* (/ 1 z) (sqrt x)) (sqrt x) (* y (sqrt x)))

simplify120.0ms (3.2%)

Memory

10.8MiB live, 52.9MiB allocated

Algorithm

1×	egg-herbie

Rules

1 494×	`times-frac`
1 184×	`lower-*.f64`
1 184×	`lower-fma.f64`
1 184×	`lower-fma.f32`
1 184×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	732
1	59	684
2	185	684
3	548	684
4	1103	684
5	2035	684
6	2711	684
7	2854	684
8	2861	684
9	2861	684
10	2861	684
11	2861	684
12	3093	684
13	4338	684
0	4338	684

Stop Event

1×	iter limit
1×	saturated

Counts

168 → 168

Calls

Call 1

Inputs
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* 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)
(* (sqrt x) (/ 1 z))
(* (sqrt x) (/ 1 z))
(* (sqrt x) (/ 1 z))
(* (sqrt x) (/ 1 z))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* 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)
(* (sqrt x) (/ 1 z))
(* (sqrt x) (/ 1 z))
(* (sqrt x) (/ 1 z))
(* (sqrt x) (/ 1 z))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* 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)
(* (sqrt x) (/ 1 z))
(* (sqrt x) (/ 1 z))
(* (sqrt x) (/ 1 z))
(* (sqrt x) (/ 1 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)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(/ 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)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(/ 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)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* (sqrt x) (/ 1 z))
(* (sqrt x) (/ 1 z))
(* (sqrt x) (/ 1 z))
(* (sqrt x) (/ 1 z))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* (sqrt x) (/ 1 z))
(* (sqrt x) (/ 1 z))
(* (sqrt x) (/ 1 z))
(* (sqrt x) (/ 1 z))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* -1 (/ (* x (* y (pow (sqrt -1) 2))) z))
(* -1 (/ (* x (* y (pow (sqrt -1) 2))) z))
(* -1 (/ (* x (* y (pow (sqrt -1) 2))) z))
(* -1 (/ (* x (* y (pow (sqrt -1) 2))) z))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) z)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) z)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) z)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) z)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))

Outputs
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y 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)
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 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 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y 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)
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 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 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y 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)
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 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 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(* -1 (/ (* x (* y (pow (sqrt -1) 2))) z))
(*.f64 x (/.f64 y z))
(* -1 (/ (* x (* y (pow (sqrt -1) 2))) z))
(*.f64 x (/.f64 y z))
(* -1 (/ (* x (* y (pow (sqrt -1) 2))) z))
(*.f64 x (/.f64 y z))
(* -1 (/ (* x (* y (pow (sqrt -1) 2))) z))
(*.f64 x (/.f64 y z))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) z)))
(/.f64 (sqrt.f64 x) z)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) z)))
(/.f64 (sqrt.f64 x) z)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) z)))
(/.f64 (sqrt.f64 x) z)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) z)))
(/.f64 (sqrt.f64 x) z)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)

rewrite168.0ms (4.5%)

Memory

-28.3MiB live, 138.3MiB allocated

Rules

3 462×	`lower-*.f32`
3 452×	`lower-*.f64`
1 814×	`lower-fma.f64`
1 814×	`lower-fma.f32`
1 324×	`prod-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	38
0	18	34
1	45	26
2	153	26
3	592	26
4	3332	26
0	8646	26

Stop Event

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

Counts

7 → 508

Calls

Call 1

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

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

eval179.0ms (4.8%)

Memory: 24.0MiB live, 132.3MiB allocated
Compiler: Compiled 10 378 to 1 326 computations (87.2% saved)

prune87.0ms (2.3%)

Memory

9.4MiB live, 94.5MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	823	1	824
Fresh	0	0	0
Picked	1	1	2
Done	0	6	6
Total	824	8	832

Accuracy

100.0%

Counts

832 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.5%	(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
✓	92.5%	(/.f64 (*.f64 x y) z)
✓	90.3%	(/.f64 y (/.f64 z x))
▶	92.0%	(.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y))
✓	94.6%	(*.f64 (/.f64 y z) x)
✓	90.4%	(*.f64 (/.f64 x z) y)
✓	92.3%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y x))
✓	94.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x)

Compiler

Compiled 74 to 48 computations (35.1% saved)

simplify6.0ms (0.2%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (sqrt.f64 x) y)
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(/.f64 (sqrt.f64 x) z)
cost-diff	1600	(.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y))

Rules

42×	`lower-*.f32`
38×	`lower-*.f64`
12×	`*-commutative`
10×	`lower-/.f32`
10×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	22
0	11	22
1	17	22
2	30	18
3	38	18
4	42	18
0	42	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize48.0ms (1.3%)

Memory

-25.0MiB live, 14.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sqrt.f64 x)
accuracy	0.23046875	(/.f64 (sqrt.f64 x) z)
accuracy	0.25390625	(*.f64 (sqrt.f64 x) y)
accuracy	4.967553273546562	(.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y))

Samples

43.0ms

256×

valid

Compiler

Compiled 24 to 9 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 31.0ms (84.3% of total)

ival-mult: 3.0ms (8.2% of total)

ival-sqrt: 2.0ms (5.4% of total)

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

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

series9.0ms (0.2%)

Memory

16.8MiB live, 16.8MiB allocated

Counts

4 → 96

Calls

Call 1

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

Outputs
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 z)) (taylor 0 z) (#s(alt (/.f64 (sqrt.f64 x) z) (patch (/.f64 (sqrt.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 z)) (taylor 0 z) (#s(alt (/.f64 (sqrt.f64 x) z) (patch (/.f64 (sqrt.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 z)) (taylor 0 z) (#s(alt (/.f64 (sqrt.f64 x) z) (patch (/.f64 (sqrt.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 z)) (taylor 0 z) (#s(alt (/.f64 (sqrt.f64 x) z) (patch (/.f64 (sqrt.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 z)) (taylor inf z) (#s(alt (/.f64 (sqrt.f64 x) z) (patch (/.f64 (sqrt.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 z)) (taylor inf z) (#s(alt (/.f64 (sqrt.f64 x) z) (patch (/.f64 (sqrt.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 z)) (taylor inf z) (#s(alt (/.f64 (sqrt.f64 x) z) (patch (/.f64 (sqrt.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 z)) (taylor inf z) (#s(alt (/.f64 (sqrt.f64 x) z) (patch (/.f64 (sqrt.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf z) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf z) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf z) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf z) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 z)) (taylor -inf z) (#s(alt (/.f64 (sqrt.f64 x) z) (patch (/.f64 (sqrt.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 z)) (taylor -inf z) (#s(alt (/.f64 (sqrt.f64 x) z) (patch (/.f64 (sqrt.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 z)) (taylor -inf z) (#s(alt (/.f64 (sqrt.f64 x) z) (patch (/.f64 (sqrt.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 z)) (taylor -inf z) (#s(alt (/.f64 (sqrt.f64 x) z) (patch (/.f64 (sqrt.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 y) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 y) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 y) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 y) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor -inf y) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor -inf y) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor -inf y) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor -inf y) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 z)) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 x) z) (patch (/.f64 (sqrt.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 z)) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 x) z) (patch (/.f64 (sqrt.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 z)) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 x) z) (patch (/.f64 (sqrt.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 z)) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 x) z) (patch (/.f64 (sqrt.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 z)) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 x) z) (patch (/.f64 (sqrt.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 z)) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 x) z) (patch (/.f64 (sqrt.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 z)) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 x) z) (patch (/.f64 (sqrt.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 z)) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 x) z) (patch (/.f64 (sqrt.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf x) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf x) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf x) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf x) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (* y (pow (sqrt -1) 2))) z)) (taylor -inf x) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (* y (pow (sqrt -1) 2))) z)) (taylor -inf x) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (* y (pow (sqrt -1) 2))) z)) (taylor -inf x) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (* y (pow (sqrt -1) 2))) z)) (taylor -inf x) (#s(alt (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) (patch (.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) z))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) z) (patch (/.f64 (sqrt.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) z))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) z) (patch (/.f64 (sqrt.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) z))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) z) (patch (/.f64 (sqrt.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) z))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) z) (patch (/.f64 (sqrt.f64 x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 x) y) (patch (.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())

Calls

9 calls:

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

simplify118.0ms (3.2%)

Memory

11.7MiB live, 46.7MiB allocated

Algorithm

1×	egg-herbie

Rules

1 494×	`times-frac`
1 184×	`lower-*.f64`
1 184×	`lower-fma.f64`
1 184×	`lower-fma.f32`
1 184×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	444
1	59	396
2	185	396
3	550	396
4	1116	396
5	2057	396
6	2735	396
7	2877	396
8	2884	396
9	2884	396
10	2884	396
11	2884	396
12	3112	396
13	4274	396
0	4274	396

Stop Event

1×	iter limit
1×	saturated

Counts

96 → 96

Calls

Call 1

Inputs
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* (sqrt x) (/ 1 z))
(* (sqrt x) (/ 1 z))
(* (sqrt x) (/ 1 z))
(* (sqrt x) (/ 1 z))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* (sqrt x) (/ 1 z))
(* (sqrt x) (/ 1 z))
(* (sqrt x) (/ 1 z))
(* (sqrt x) (/ 1 z))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* (sqrt x) (/ 1 z))
(* (sqrt x) (/ 1 z))
(* (sqrt x) (/ 1 z))
(* (sqrt x) (/ 1 z))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* (sqrt x) (/ 1 z))
(* (sqrt x) (/ 1 z))
(* (sqrt x) (/ 1 z))
(* (sqrt x) (/ 1 z))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* (sqrt x) (/ 1 z))
(* (sqrt x) (/ 1 z))
(* (sqrt x) (/ 1 z))
(* (sqrt x) (/ 1 z))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* -1 (/ (* x (* y (pow (sqrt -1) 2))) z))
(* -1 (/ (* x (* y (pow (sqrt -1) 2))) z))
(* -1 (/ (* x (* y (pow (sqrt -1) 2))) z))
(* -1 (/ (* x (* y (pow (sqrt -1) 2))) z))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) z)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) z)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) z)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) z)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))

Outputs
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(* (sqrt x) (/ 1 z))
(/.f64 (sqrt.f64 x) z)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* -1 (/ (* x (* y (pow (sqrt -1) 2))) z))
(/.f64 (*.f64 x y) z)
(* -1 (/ (* x (* y (pow (sqrt -1) 2))) z))
(/.f64 (*.f64 x y) z)
(* -1 (/ (* x (* y (pow (sqrt -1) 2))) z))
(/.f64 (*.f64 x y) z)
(* -1 (/ (* x (* y (pow (sqrt -1) 2))) z))
(/.f64 (*.f64 x y) z)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) z)))
(/.f64 (sqrt.f64 x) z)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) z)))
(/.f64 (sqrt.f64 x) z)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) z)))
(/.f64 (sqrt.f64 x) z)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) z)))
(/.f64 (sqrt.f64 x) z)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)

rewrite149.0ms (4%)

Memory

-22.5MiB live, 137.5MiB allocated

Rules

2 320×	`lower-*.f32`
2 316×	`lower-*.f64`
1 730×	`lower-fma.f64`
1 730×	`lower-fma.f32`
1 356×	`prod-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	11	19
1	27	19
2	104	15
3	542	15
4	4064	15
0	8638	15

Stop Event

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

Counts

4 → 364

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 x) z) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (/.f64 (.f64 (neg.f64 y) x) (*.f64 z z)) z)
(.f64 (/.f64 (.f64 (neg.f64 y) x) (.f64 (.f64 z z) z)) (*.f64 z z))
(.f64 (/.f64 (.f64 y (sqrt.f64 x)) (/.f64 z (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (/.f64 (.f64 y x) (*.f64 z z)) z)
(.f64 (/.f64 (.f64 y x) (.f64 (.f64 z z) z)) (*.f64 z z))
(.f64 (/.f64 (.f64 (neg.f64 y) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z))
(.f64 (.f64 (*.f64 (/.f64 (sqrt.f64 x) z) y) (neg.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 y z)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (sqrt.f64 x)))) (/.f64 (sqrt.f64 (sqrt.f64 x)) z))
(.f64 (.f64 (*.f64 y x) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(.f64 (.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 (/.f64 (sqrt.f64 x) z))) (sqrt.f64 (/.f64 (sqrt.f64 x) z)))
(.f64 (.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (/.f64 (sqrt.f64 (sqrt.f64 x)) z))
(.f64 (.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) z))
(.f64 (.f64 (*.f64 y (sqrt.f64 x)) (neg.f64 (sqrt.f64 (sqrt.f64 x)))) (/.f64 (sqrt.f64 (sqrt.f64 x)) z))
(.f64 (pow.f64 (.f64 (/.f64 y z) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sqrt.f64 x)) z))
(.f64 (/.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (/.f64 (sqrt.f64 (sqrt.f64 x)) z))
(.f64 (/.f64 (.f64 y (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) z))
(.f64 (/.f64 (.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) y) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (sqrt.f64 x)) z))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 y z))
(.f64 (/.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 (sqrt.f64 (sqrt.f64 x)) z))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 y z))
(.f64 (.f64 (/.f64 (sqrt.f64 (sqrt.f64 x)) z) (sqrt.f64 x)) (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) y) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 (sqrt.f64 (sqrt.f64 x)) z) (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y))
(.f64 (/.f64 (sqrt.f64 (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (/.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) y) z))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (/.f64 y z))
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (/.f64 (sqrt.f64 x) z))
(.f64 (/.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) y) #s(literal -1 binary64)) (*.f64 (/.f64 (sqrt.f64 (sqrt.f64 x)) z) (sqrt.f64 x)))
(.f64 (/.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) y) z) (/.f64 (sqrt.f64 (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
(.f64 (/.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) y) z) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(.f64 (/.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 y z)))
(.f64 (/.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) y) #s(literal 1 binary64)) (*.f64 (/.f64 (sqrt.f64 (sqrt.f64 x)) z) (sqrt.f64 x)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 x z))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z))
(.f64 (/.f64 (.f64 y x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 x z) (/.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 (/.f64 x z) (/.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (/.f64 x z) (/.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 x z) (/.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 x z) y)
(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) y) (*.f64 (/.f64 (sqrt.f64 (sqrt.f64 x)) z) (sqrt.f64 x)))
(.f64 (.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 y z)) (/.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 y z)) (neg.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 y z)) (sqrt.f64 (sqrt.f64 x)))
(.f64 (.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) y) (/.f64 (sqrt.f64 (sqrt.f64 x)) z))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (/.f64 y z)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) y) z))
(.f64 (.f64 (/.f64 y z) x) #s(literal -1 binary64))
(.f64 (.f64 (/.f64 y z) x) #s(literal 1 binary64))
(.f64 (.f64 (/.f64 (sqrt.f64 x) z) y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(.f64 (.f64 (/.f64 (sqrt.f64 x) z) y) (neg.f64 (sqrt.f64 x)))
(.f64 (.f64 (/.f64 (sqrt.f64 x) z) y) (sqrt.f64 x))
(.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 y z)))
(.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y x)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 y z))))
(.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) z)) (.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) z)) (*.f64 y (sqrt.f64 x))))
(.f64 (/.f64 (sqrt.f64 (sqrt.f64 x)) z) (/.f64 (.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) y) #s(literal 1 binary64)))
(.f64 (/.f64 (sqrt.f64 (sqrt.f64 x)) z) (/.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
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(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 x) z)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 z (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) z))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 x) z)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64)) (/.f64 (sqrt.f64 x) z))
(+.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 x) z))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 3/4 binary64) (log.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 3/4 binary64) (log.f64 x))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (/.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/8 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 (sqrt.f64 x)))) x)
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) x)) (+.f64 #s(literal 0 binary64) (-.f64 x #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) x))) x)
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (.f64 (sqrt.f64 x) x))) x)
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) x)) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 x) x) x)
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x)))
(/.f64 (sqrt.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 x))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))
(/.f64 (sqrt.f64 x) #s(literal 1 binary64))
(/.f64 x (sqrt.f64 x))
(neg.f64 (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 3/4 binary64) (log.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 3/4 binary64) (log.f64 x))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (/.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(sqrt.f64 x)
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 x)))
(fabs.f64 (sqrt.f64 x))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)) (neg.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)))))
(exp.f64 (-.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (log.f64 x)))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (-.f64 (log.f64 x) (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64))))
(exp.f64 (-.f64 (log.f64 x) (.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(exp.f64 (-.f64 (log.f64 x) (.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 x)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) #s(literal 0 binary64))
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 x)) y)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) y) (/.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) y) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (neg.f64 y) (neg.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 x)) y)))
(.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) y) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 x)) (/.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) y) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (sqrt.f64 (sqrt.f64 x)) y))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (sqrt.f64 x)))
(.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x)))
(.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 y #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) y)
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64))
(/.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))
(/.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)))

eval96.0ms (2.6%)

Memory: 20.8MiB live, 100.0MiB allocated
Compiler: Compiled 7 391 to 1 140 computations (84.6% saved)

prune190.0ms (5.1%)

Memory

-18.2MiB live, 101.2MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	562	0	562
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	562	8	570

Accuracy

100.0%

Counts

570 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.5%	(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
✓	92.5%	(/.f64 (*.f64 x y) z)
✓	90.3%	(/.f64 y (/.f64 z x))
✓	92.0%	(.f64 (/.f64 (sqrt.f64 x) z) (.f64 (sqrt.f64 x) y))
✓	94.6%	(*.f64 (/.f64 y z) x)
✓	90.4%	(*.f64 (/.f64 x z) y)
✓	92.3%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y x))
✓	94.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) x)

Compiler

Compiled 138 to 74 computations (46.4% saved)

regimes17.0ms (0.5%)

Memory

25.0MiB live, 25.0MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
97.2%	2	`x`
94.6%	1	`y`
99.7%	2	`z`
99.7%	2	`(/.f64 (*.f64 x y) z)`
99.8%	3	`(*.f64 x y)`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes133.0ms (3.6%)

Memory

-27.8MiB live, 8.2MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

130.0ms	z
2.0ms	(/.f64 (*.f64 x y) z)

Results

Accuracy	Segments	Branch
99.7%	2	`z`
99.7%	2	`(/.f64 (*.f64 x y) z)`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes7.0ms (0.2%)

Memory

13.1MiB live, 13.1MiB 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:

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

Results

Accuracy	Segments	Branch
90.4%	1	`y`
90.4%	1	`x`
90.4%	1	`(*.f64 x y)`
90.4%	1	`z`
90.4%	1	`(/.f64 (*.f64 x y) z)`

Compiler

Compiled 26 to 18 computations (30.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1535777728223693e-59	1.603128335386057e-55

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.03761996196858e+54	1.4427976457624718e+61

Compiler

Compiled 11 to 11 computations (0% saved)

simplify7.0ms (0.2%)

Memory

8.9MiB live, 8.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	41
1	20	41

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (/.f64 (*.f64 x y) z) #s(literal 565391060729083/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) (*.f64 (/.f64 y z) x) (/.f64 y (/.f64 z x)))

(if (<=.f64 (/.f64 (*.f64 x y) z) #s(literal 10000000000000000102350670204085511496304388135324745728 binary64)) (*.f64 (/.f64 y z) x) (*.f64 (/.f64 x z) y))

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

Outputs
(if (<=.f64 (/.f64 (.f64 x y) z) #s(literal 565391060729083/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) (.f64 (/.f64 y z) x) (/.f64 y (/.f64 z x)))
(if (<=.f64 (/.f64 (.f64 y x) z) #s(literal 565391060729083/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) (.f64 (/.f64 y z) x) (/.f64 y (/.f64 z x)))
(if (<=.f64 (/.f64 (.f64 x y) z) #s(literal 10000000000000000102350670204085511496304388135324745728 binary64)) (.f64 (/.f64 y z) x) (*.f64 (/.f64 x z) y))
(if (<=.f64 (/.f64 (.f64 y x) z) #s(literal 10000000000000000102350670204085511496304388135324745728 binary64)) (.f64 (/.f64 y z) x) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)

soundness167.0ms (4.5%)

Memory

-12.8MiB live, 150.5MiB 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 109 to 52 computations (52.3% saved)

preprocess260.0ms (7%)

Memory: -35.8MiB live, 426.3MiB allocated
Compiler: Compiled 324 to 170 computations (47.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze35.0ms (1%)

sample652.0ms (17.6%)

explain51.0ms (1.4%)

preprocess55.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize23.0ms (0.6%)

series10.0ms (0.3%)

simplify5.0ms (0.1%)

rewrite110.0ms (3%)

eval18.0ms (0.5%)

prune20.0ms (0.5%)

simplify17.0ms (0.5%)

localize39.0ms (1.1%)

series17.0ms (0.5%)

simplify8.0ms (0.2%)

rewrite149.0ms (4%)

eval475.0ms (12.8%)

prune186.0ms (5%)

simplify7.0ms (0.2%)

localize29.0ms (0.8%)

series41.0ms (1.1%)

simplify120.0ms (3.2%)

rewrite168.0ms (4.5%)

eval179.0ms (4.8%)

prune87.0ms (2.3%)

simplify6.0ms (0.2%)

localize48.0ms (1.3%)

series9.0ms (0.2%)

simplify118.0ms (3.2%)

rewrite149.0ms (4%)

eval96.0ms (2.6%)

prune190.0ms (5.1%)

regimes17.0ms (0.5%)

regimes133.0ms (3.6%)

regimes7.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify7.0ms (0.2%)

soundness167.0ms (4.5%)

preprocess260.0ms (7%)

end0.0ms (0%)

Profiling