Metrics for Numeric.SpecFunctions:choose from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze37.0ms (0.6%)

Memory

14.7MiB live, 51.7MiB 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 9 to 8 computations (11.1% saved)

sample854.0ms (14.7%)

Memory

-20.3MiB live, 1 172.2MiB allocated

Samples

550.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 246.0ms

ival-add: 91.0ms (37% of total)

ival-mult: 91.0ms (37% of total)

ival-div: 56.0ms (22.8% of total)

ival-true: 6.0ms (2.4% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain90.0ms (1.6%)

Memory

21.6MiB live, 98.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
40	-	-	`(/.f64 (*.f64 x (+.f64 y z)) z)`
0	-	-	`(+.f64 y z)`
0	-	-	`y`
0	-	-	`z`
0	-	-	`(*.f64 x (+.f64 y z))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	o/n	33	0
↳	`(*.f64 x (+.f64 y z))`	overflow	61
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	u/n	7	0
↳	`(*.f64 x (+.f64 y z))`	underflow	7

Confusion

	Predicted +	Predicted -
+	40	0
-	0	216

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	40	0	0
-	0	0	216

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	216
1	40

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

57.0ms

512×

valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

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

ival-div: 4.0ms (38.1% of total)

ival-add: 3.0ms (28.6% of total)

ival-mult: 3.0ms (28.6% of total)

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

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

preprocess257.0ms (4.4%)

Memory

-16.4MiB live, 208.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4 786×	`lower-*.f32`
4 784×	`lower-*.f64`
2 414×	`lower-fma.f64`
2 414×	`lower-fma.f32`
1 634×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	106	66
2	281	64
3	934	64
4	2669	63
5	5010	63
6	5760	63
7	5861	63
8	5957	63
9	6086	63
10	6221	63
0	6	7
0	9	7
1	19	7
2	24	7
3	25	7
4	33	7
5	35	7
6	39	7
7	46	7
8	51	7
9	160	7
10	553	7
11	2370	7
12	3773	7
13	3925	7
14	4010	7
15	4111	7
16	4246	7
17	4406	7
18	6021	7
19	7046	7
0	8041	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 10 to 6 computations (40% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.2%	(/.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 10 to 6 computations (40% saved)

simplify143.0ms (2.5%)

Memory

-24.1MiB live, 168.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 y z)
cost-diff	0	(*.f64 x (+.f64 y z))
cost-diff	128	(/.f64 (*.f64 x (+.f64 y z)) z)

Rules

4 786×	`lower-*.f32`
4 784×	`lower-*.f64`
2 414×	`lower-fma.f64`
2 414×	`lower-fma.f32`
1 634×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	19	18
2	24	18
3	25	18
4	33	18
5	35	18
6	39	18
7	46	18
8	51	18
9	160	18
10	553	18
11	2370	18
12	3773	18
13	3925	18
14	4010	18
15	4111	18
16	4246	18
17	4406	18
18	6021	18
19	7046	18
0	8041	17

Stop Event

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

Calls

Call 1

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

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

localize18.0ms (0.3%)

Memory

35.2MiB live, 35.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y z)
accuracy	0.0078125	(*.f64 x (+.f64 y z))
accuracy	9.437791511316322	(/.f64 (*.f64 x (+.f64 y z)) z)

Samples

12.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 2.0ms (38.6% of total)

ival-mult: 2.0ms (38.6% of total)

ival-add: 1.0ms (19.3% of total)

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

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

series9.0ms (0.2%)

Memory

-25.1MiB live, 12.6MiB allocated

Counts

3 → 96

Calls

Call 1

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

Inputs

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

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

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

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

Calls

24 calls:

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

simplify222.0ms (3.8%)

Memory

28.2MiB live, 146.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2 456×	`lower-fma.f64`
2 456×	`lower-fma.f32`
2 212×	`lower-*.f64`
2 212×	`lower-*.f32`
2 096×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	456
1	171	456
2	482	456
3	1327	456
4	2607	456
5	3103	456
6	3446	456
7	3884	456
8	4074	456
9	4117	456
10	5984	456
11	6760	456
12	6984	456
13	7382	456
14	7394	456
15	7403	456
0	8073	426

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 87

Calls

Call 1

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

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

rewrite386.0ms (6.6%)

Memory

-1.5MiB live, 426.7MiB allocated

Rules

4 302×	`lower-fma.f64`
4 302×	`lower-fma.f32`
4 234×	`lower-/.f32`
4 232×	`lower-/.f64`
3 826×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	40	15
2	256	15
3	2320	15
0	8156	15

Stop Event

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

Counts

3 → 379

Calls

Call 1

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

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

eval51.0ms (0.9%)

Memory: 26.1MiB live, 134.9MiB allocated
Compiler: Compiled 10 565 to 1 294 computations (87.8% saved)

prune251.0ms (4.3%)

Memory

-147.0MiB live, 235.8MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	459	7	466
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	459	8	467

Accuracy

100.0%

Counts

467 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.0%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 z)) (.f64 (neg.f64 z) (.f64 x (+.f64 y z)))) (.f64 z z))
✓	85.2%	(/.f64 (*.f64 x (+.f64 y z)) z)
▶	41.1%	(/.f64 #s(approx (* x (+ y z)) (*.f64 x z)) z)
▶	47.9%	(/.f64 #s(approx (* x (+ y z)) (*.f64 x y)) z)
▶	96.7%	(/.f64 x (/.f64 z (+.f64 y z)))
▶	85.7%	(*.f64 (/.f64 x z) (+.f64 y z))
	85.1%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x (+.f64 y z)))
▶	95.9%	#s(approx (/ (* x (+ y z)) z) (fma.f64 x (/.f64 y z) x))

Compiler

Compiled 170 to 100 computations (41.2% saved)

simplify228.0ms (3.9%)

Memory

2.7MiB live, 309.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 y z)
cost-diff	0	(/.f64 x z)
cost-diff	128	(*.f64 (/.f64 x z) (+.f64 y z))
cost-diff	0	(/.f64 y z)
cost-diff	0	(fma.f64 x (/.f64 y z) x)
cost-diff	0	#s(approx (/ (* x (+ y z)) z) (fma.f64 x (/.f64 y z) x))
cost-diff	0	(*.f64 x z)
cost-diff	0	#s(approx (* x (+ y z)) (*.f64 x z))
cost-diff	0	(/.f64 #s(approx (* x (+ y z)) (*.f64 x z)) z)
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (* x (+ y z)) (*.f64 x y))
cost-diff	0	(/.f64 #s(approx (* x (+ y z)) (*.f64 x y)) z)
cost-diff	0	(+.f64 y z)
cost-diff	0	(/.f64 z (+.f64 y z))
cost-diff	512	(/.f64 x (/.f64 z (+.f64 y z)))

Rules

9 632×	`lower-fma.f32`
9 630×	`lower-fma.f64`
3 928×	`lower-*.f32`
3 922×	`lower-*.f64`
2 018×	`associate-/r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	111
0	32	112
1	50	112
2	62	112
3	68	108
4	75	108
5	75	108
6	192	108
7	642	108
8	2745	108
9	3808	108
10	4695	108
11	4776	108
12	4861	108
13	4966	108
14	5088	108
15	6879	108
0	8193	108

Stop Event

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

Calls

Call 1

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

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

localize63.0ms (1.1%)

Memory

-5.5MiB live, 145.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x z)
accuracy	0	(+.f64 y z)
accuracy	9.150299212811785	(*.f64 (/.f64 x z) (+.f64 y z))
accuracy	0	(/.f64 y z)
accuracy	0	#s(approx (/ (* x (+ y z)) z) (fma.f64 x (/.f64 y z) x))
accuracy	2.6192754612970495	(fma.f64 x (/.f64 y z) x)
accuracy	0	(*.f64 x z)
accuracy	9.437791511316322	(/.f64 #s(approx (* x (+ y z)) (*.f64 x z)) z)
accuracy	29.208383409810757	#s(approx (* x (+ y z)) (*.f64 x z))
accuracy	0	(*.f64 x y)
accuracy	9.437791511316322	(/.f64 #s(approx (* x (+ y z)) (*.f64 x y)) z)
accuracy	30.039156894357436	#s(approx (* x (+ y z)) (*.f64 x y))
accuracy	0	(+.f64 y z)
accuracy	0.0078125	(/.f64 z (+.f64 y z))
accuracy	2.111052323184034	(/.f64 x (/.f64 z (+.f64 y z)))

Samples

42.0ms

256×

valid

Compiler

Compiled 91 to 17 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 8.0ms (36.5% of total)

ival-mult: 7.0ms (32% of total)

ival-add: 6.0ms (27.4% of total)

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

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

series24.0ms (0.4%)

Memory

16.5MiB live, 52.8MiB allocated

Counts

14 → 432

Calls

Call 1

Inputs
#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())
#s(alt (/.f64 z (+.f64 y z)) (patch (/.f64 z (+.f64 y z)) #<representation binary64>) () ())
#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* x (+ y z)) (.f64 x y)) z) (patch (/.f64 #s(approx ( x (+ y z)) (*.f64 x y)) z) #<representation binary64>) () ())
#s(alt #s(approx (* x (+ y z)) (.f64 x y)) (patch #s(approx ( x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* x (+ y z)) (.f64 x z)) z) (patch (/.f64 #s(approx ( x (+ y z)) (*.f64 x z)) z) #<representation binary64>) () ())
#s(alt #s(approx (* x (+ y z)) (.f64 x z)) (patch #s(approx ( x (+ y z)) (*.f64 x z)) #<representation binary64>) () ())
#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x (+ y z)) z) (fma.f64 x (/.f64 y z) x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 x (/.f64 y z) x)) #<representation binary64>) () ())
#s(alt (fma.f64 x (/.f64 y z) x) (patch (fma.f64 x (/.f64 y z) x) #<representation binary64>) () ())
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x z) (+.f64 y z)) (patch (.f64 (/.f64 x z) (+.f64 y z)) #<representation binary64>) () ())
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())

Outputs
#s(alt (/ (* x (+ y z)) z) (taylor 0 x) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor 0 x) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor 0 x) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor 0 x) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf z) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf z) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor -inf z) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor -inf z) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor -inf z) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor 0 y) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor 0 y) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor 0 y) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x y) (/ x z))) (taylor inf y) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x y) (/ x z))) (taylor inf y) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x y) (/ x z))) (taylor inf y) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) (taylor -inf y) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) (taylor -inf y) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) (taylor -inf y) (#s(alt (/.f64 x (/.f64 z (+.f64 y z))) (patch (/.f64 x (/.f64 z (+.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z (+.f64 y z)) (patch (/.f64 z (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ z (pow y 2))) (/ 1 y))) (taylor 0 z) (#s(alt (/.f64 z (+.f64 y z)) (patch (/.f64 z (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 z) (#s(alt (/.f64 z (+.f64 y z)) (patch (/.f64 z (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 z) (#s(alt (/.f64 z (+.f64 y z)) (patch (/.f64 z (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf z) (#s(alt (/.f64 z (+.f64 y z)) (patch (/.f64 z (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y z))) (taylor inf z) (#s(alt (/.f64 z (+.f64 y z)) (patch (/.f64 z (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z)) (taylor inf z) (#s(alt (/.f64 z (+.f64 y z)) (patch (/.f64 z (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z))) (taylor inf z) (#s(alt (/.f64 z (+.f64 y z)) (patch (/.f64 z (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf z) (#s(alt (/.f64 z (+.f64 y z)) (patch (/.f64 z (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y z))) (taylor -inf z) (#s(alt (/.f64 z (+.f64 y z)) (patch (/.f64 z (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z))) (taylor -inf z) (#s(alt (/.f64 z (+.f64 y z)) (patch (/.f64 z (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z))) (taylor -inf z) (#s(alt (/.f64 z (+.f64 y z)) (patch (/.f64 z (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 z (+.f64 y z)) (patch (/.f64 z (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y z))) (taylor 0 y) (#s(alt (/.f64 z (+.f64 y z)) (patch (/.f64 z (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (/ y (pow z 2)) (/ 1 z)))) (taylor 0 y) (#s(alt (/.f64 z (+.f64 y z)) (patch (/.f64 z (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z)))) (taylor 0 y) (#s(alt (/.f64 z (+.f64 y z)) (patch (/.f64 z (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf y) (#s(alt (/.f64 z (+.f64 y z)) (patch (/.f64 z (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ z (* -1 (/ (pow z 2) y))) y) (taylor inf y) (#s(alt (/.f64 z (+.f64 y z)) (patch (/.f64 z (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y) (taylor inf y) (#s(alt (/.f64 z (+.f64 y z)) (patch (/.f64 z (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y) (taylor inf y) (#s(alt (/.f64 z (+.f64 y z)) (patch (/.f64 z (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf y) (#s(alt (/.f64 z (+.f64 y z)) (patch (/.f64 z (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y)) (taylor -inf y) (#s(alt (/.f64 z (+.f64 y z)) (patch (/.f64 z (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y)) (taylor -inf y) (#s(alt (/.f64 z (+.f64 y z)) (patch (/.f64 z (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y)) (taylor -inf y) (#s(alt (/.f64 z (+.f64 y z)) (patch (/.f64 z (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) (taylor -inf y) (#s(alt (.f64 (/.f64 x z) (+.f64 y z)) (patch (.f64 (/.f64 x z) (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) (taylor -inf y) (#s(alt (.f64 (/.f64 x z) (+.f64 y z)) (patch (.f64 (/.f64 x z) (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) (taylor -inf y) (#s(alt (.f64 (/.f64 x z) (+.f64 y z)) (patch (.f64 (/.f64 x z) (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())

Calls

108 calls:

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

simplify203.0ms (3.5%)

Memory

-28.7MiB live, 313.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 914×	`lower-fma.f64`
10 914×	`lower-fma.f32`
3 490×	`lower-*.f64`
3 490×	`lower-*.f32`
1 706×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	2361
1	497	2340
2	1317	2310
3	4818	2308
0	8322	2115

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 408

Calls

Call 1

Inputs
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ z y)
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
1
(+ 1 (* -1 (/ y z)))
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))
(/ z y)
(/ (+ z (* -1 (/ (pow z 2) y))) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)
(/ z y)
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))
z
(+ y z)
(+ y z)
(+ y z)
y
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
y
(+ y z)
(+ y z)
(+ y z)
z
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) 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))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x z)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x y)
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* x y)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x z)
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) 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))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x z)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x y)
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* x y)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x z)
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)

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

rewrite364.0ms (6.3%)

Memory

17.5MiB live, 456.2MiB allocated

Rules

4 970×	`lower-fma.f32`
4 968×	`lower-fma.f64`
4 074×	`lower-*.f32`
4 068×	`lower-*.f64`
3 066×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	94
0	32	95
1	114	95
2	704	91
3	6826	91
0	8018	91

Stop Event

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

Counts

14 → 1 265

Calls

Call 1

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

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

eval239.0ms (4.1%)

Memory: 5.7MiB live, 349.6MiB allocated
Compiler: Compiled 30 457 to 1 546 computations (94.9% saved)

prune191.0ms (3.3%)

Memory

7.3MiB live, 379.5MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1 768	4	1 772
Fresh	2	0	2
Picked	3	2	5
Done	0	1	1
Total	1 773	7	1 780

Accuracy

100.0%

Counts

1 780 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.3%	(fma.f64 (/.f64 x z) y x)
✓	85.2%	(/.f64 (*.f64 x (+.f64 y z)) z)
✓	47.9%	(/.f64 #s(approx (* x (+ y z)) (*.f64 x y)) z)
▶	46.1%	(/.f64 x #s(approx (/ z (+ y z)) (/.f64 z y)))
▶	52.7%	(/.f64 x #s(approx (/ z (+ y z)) #s(literal 1 binary64)))
▶	47.8%	(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( x (+ y z)) (*.f64 x y)))
✓	95.9%	#s(approx (/ (* x (+ y z)) z) (fma.f64 x (/.f64 y z) x))

Compiler

Compiled 65 to 38 computations (41.5% saved)

simplify19.0ms (0.3%)

Memory

-24.0MiB live, 19.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

156×	`lower-*.f32`
152×	`lower-*.f64`
72×	`lower-/.f32`
62×	`lower-/.f64`
52×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	88
0	27	88
1	43	86
2	51	86
3	59	86
4	61	86
5	63	86
6	69	86
7	69	86
8	107	86
9	120	86
10	179	86
11	199	86
12	208	86
13	220	86
14	220	86
0	220	86

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize47.0ms (0.8%)

Memory

24.4MiB live, 101.2MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x z)
accuracy	3.6317650610340078	(fma.f64 (/.f64 x z) y x)
accuracy	0	(/.f64 z y)
accuracy	2.111052323184034	(/.f64 x #s(approx (/ z (+ y z)) (/.f64 z y)))
accuracy	32.84566569000738	#s(approx (/ z (+ y z)) (/.f64 z y))
accuracy	2.111052323184034	(/.f64 x #s(approx (/ z (+ y z)) #s(literal 1 binary64)))
accuracy	30.215498274694312	#s(approx (/ z (+ y z)) #s(literal 1 binary64))
accuracy	0	(/.f64 #s(literal 1 binary64) z)
accuracy	0	(*.f64 x y)
accuracy	9.515916511316322	(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( x (+ y z)) (*.f64 x y)))
accuracy	30.039156894357436	#s(approx (* x (+ y z)) (*.f64 x y))

Samples

32.0ms

256×

valid

Compiler

Compiled 71 to 17 computations (76.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 11.0ms (55.1% of total)

ival-mult: 6.0ms (30% of total)

ival-add: 2.0ms (10% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

-14.6MiB live, 22.6MiB allocated

Counts

11 → 312

Calls

Call 1

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

Outputs
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( x (+ y z)) (.f64 x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( x (+ y z)) (.f64 x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( x (+ y z)) (.f64 x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( x (+ y z)) (.f64 x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( x (+ y z)) (.f64 x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( x (+ y z)) (.f64 x y))) (patch (.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ())
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#s(alt (* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 z) (#s(alt #s(approx (/ z (+ y z)) (/.f64 z y)) (patch #s(approx (/ z (+ y z)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf z) (#s(alt #s(approx (/ z (+ y z)) (/.f64 z y)) (patch #s(approx (/ z (+ y z)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y z))) (taylor inf z) (#s(alt #s(approx (/ z (+ y z)) (/.f64 z y)) (patch #s(approx (/ z (+ y z)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z)) (taylor inf z) (#s(alt #s(approx (/ z (+ y z)) (/.f64 z y)) (patch #s(approx (/ z (+ y z)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z))) (taylor inf z) (#s(alt #s(approx (/ z (+ y z)) (/.f64 z y)) (patch #s(approx (/ z (+ y z)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf z) (#s(alt #s(approx (/ z (+ y z)) (/.f64 z y)) (patch #s(approx (/ z (+ y z)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y z))) (taylor -inf z) (#s(alt #s(approx (/ z (+ y z)) (/.f64 z y)) (patch #s(approx (/ z (+ y z)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z))) (taylor -inf z) (#s(alt #s(approx (/ z (+ y z)) (/.f64 z y)) (patch #s(approx (/ z (+ y z)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z))) (taylor -inf z) (#s(alt #s(approx (/ z (+ y z)) (/.f64 z y)) (patch #s(approx (/ z (+ y z)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ z (+ y z)) (/.f64 z y)) (patch #s(approx (/ z (+ y z)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y z))) (taylor 0 y) (#s(alt #s(approx (/ z (+ y z)) (/.f64 z y)) (patch #s(approx (/ z (+ y z)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (/ y (pow z 2)) (/ 1 z)))) (taylor 0 y) (#s(alt #s(approx (/ z (+ y z)) (/.f64 z y)) (patch #s(approx (/ z (+ y z)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z)))) (taylor 0 y) (#s(alt #s(approx (/ z (+ y z)) (/.f64 z y)) (patch #s(approx (/ z (+ y z)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf y) (#s(alt #s(approx (/ z (+ y z)) (/.f64 z y)) (patch #s(approx (/ z (+ y z)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ z (* -1 (/ (pow z 2) y))) y) (taylor inf y) (#s(alt #s(approx (/ z (+ y z)) (/.f64 z y)) (patch #s(approx (/ z (+ y z)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y) (taylor inf y) (#s(alt #s(approx (/ z (+ y z)) (/.f64 z y)) (patch #s(approx (/ z (+ y z)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y) (taylor inf y) (#s(alt #s(approx (/ z (+ y z)) (/.f64 z y)) (patch #s(approx (/ z (+ y z)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf y) (#s(alt #s(approx (/ z (+ y z)) (/.f64 z y)) (patch #s(approx (/ z (+ y z)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y)) (taylor -inf y) (#s(alt #s(approx (/ z (+ y z)) (/.f64 z y)) (patch #s(approx (/ z (+ y z)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y)) (taylor -inf y) (#s(alt #s(approx (/ z (+ y z)) (/.f64 z y)) (patch #s(approx (/ z (+ y z)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y)) (taylor -inf y) (#s(alt #s(approx (/ z (+ y z)) (/.f64 z y)) (patch #s(approx (/ z (+ y z)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y z))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y z))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y z))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y z))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y z))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y z))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y z))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y z))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor -inf z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor -inf z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor -inf z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x y) (/ x z))) (taylor inf y) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x y) (/ x z))) (taylor inf y) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x y) (/ x z))) (taylor inf y) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())

Calls

78 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	(/ 1 z)
0.0ms	z	@	-inf	(/ z y)
0.0ms	z	@	0	(/ z y)
0.0ms	z	@	inf	(/ z y)
0.0ms	y	@	-inf	(/ z y)

simplify256.0ms (4.4%)

Memory

27.3MiB live, 330.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12 552×	`lower-fma.f64`
12 552×	`lower-fma.f32`
4 154×	`lower-*.f64`
4 154×	`lower-*.f32`
2 766×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	1950
1	462	1908
2	1240	1848
3	4319	1844
0	8507	1698

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 300

Calls

Call 1

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

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

rewrite282.0ms (4.8%)

Memory

-40.2MiB live, 293.8MiB allocated

Rules

4 268×	`lower-*.f32`
4 264×	`lower-*.f64`
3 868×	`lower-fma.f32`
3 866×	`lower-fma.f64`
2 738×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	76
0	27	76
1	105	74
2	584	74
3	5850	74
0	8175	74

Stop Event

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

Counts

11 → 288

Calls

Call 1

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

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

eval139.0ms (2.4%)

Memory: 1.0MiB live, 124.8MiB allocated
Compiler: Compiled 7 563 to 662 computations (91.2% saved)

prune65.0ms (1.1%)

Memory

11.9MiB live, 96.2MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	588	0	588
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	588	7	595

Accuracy

100.0%

Counts

595 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.3%	(fma.f64 (/.f64 x z) y x)
✓	85.2%	(/.f64 (*.f64 x (+.f64 y z)) z)
✓	47.9%	(/.f64 #s(approx (* x (+ y z)) (*.f64 x y)) z)
✓	46.1%	(/.f64 x #s(approx (/ z (+ y z)) (/.f64 z y)))
✓	52.7%	(/.f64 x #s(approx (/ z (+ y z)) #s(literal 1 binary64)))
✓	47.8%	(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( x (+ y z)) (*.f64 x y)))
✓	95.9%	#s(approx (/ (* x (+ y z)) z) (fma.f64 x (/.f64 y z) x))

Compiler

Compiled 158 to 69 computations (56.3% saved)

regimes18.0ms (0.3%)

Memory

7.7MiB live, 47.3MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
(/.f64 x #s(approx (/ z (+ y z)) #s(literal 1 binary64)))
(/.f64 #s(approx (* x (+ y z)) (*.f64 x y)) z)
(/.f64 #s(approx (* x (+ y z)) (*.f64 x z)) z)
#s(approx (/ (* x (+ y z)) z) (fma.f64 x (/.f64 y z) x))
(fma.f64 (/.f64 x z) y x)
(*.f64 (/.f64 x z) (+.f64 y z))
(/.f64 (*.f64 x (+.f64 y z)) z)
(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( x (+ y z)) (*.f64 x y)))
(/.f64 x #s(approx (/ z (+ y z)) (/.f64 z y)))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x (+.f64 y z)))
(/.f64 x (/.f64 z (+.f64 y z)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 z)) (.f64 (neg.f64 z) (.f64 x (+.f64 y z)))) (.f64 z z))

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

Calls

4 calls:

5.0ms	z
4.0ms	y
4.0ms	x
4.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
96.7%	1	`x`
96.7%	1	`y`
96.7%	1	`z`
96.7%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes48.0ms (0.8%)

Memory

-10.4MiB live, 29.1MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

4 calls:

37.0ms	z
4.0ms	x
3.0ms	y
3.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
97.6%	2	`x`
97.9%	2	`y`
95.9%	1	`z`
95.9%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes5.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
95.9%	1	`x`
95.9%	1	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
80.7%	3	`y`
76.4%	3	`z`
77.7%	3	`(/.f64 (*.f64 x (+.f64 y z)) z)`
52.7%	1	`x`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes35.0ms (0.6%)

Memory

-24.9MiB live, 13.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

31.0ms	y
1.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
52.7%	1	`x`
52.7%	1	`z`
52.7%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`
52.7%	1	`y`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch8.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.1866016895862035e-133	1.0031240952714895e-132

Samples

4.0ms

96×

valid

Compiler

Compiled 139 to 84 computations (39.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (53.3% of total)

ival-add: 1.0ms (53.3% of total)

ival-mult: 1.0ms (53.3% of total)

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

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

bsearch59.0ms (1%)

Memory

-17.5MiB live, 33.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.0969982377378036e+106	2.2402575009681435e+113
10.0ms	-4.6944725147813466e-35	-9.021372525008596e-38

Samples

11.0ms

272×

valid

Compiler

Compiled 319 to 216 computations (32.3% saved)

Precisions

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

ival-div: 2.0ms (38.1% of total)

ival-mult: 2.0ms (38.1% of total)

ival-add: 1.0ms (19.1% of total)

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

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

simplify7.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	93
1	35	93

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (/.f64 z (+.f64 y z)))
(if (<=.f64 y #s(literal 8439210160982241/25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792 binary64)) #s(approx (/ (* x (+ y z)) z) (fma.f64 x (/.f64 y z) x)) (fma.f64 (/.f64 x z) y x))
#s(approx (/ (* x (+ y z)) z) (fma.f64 x (/.f64 y z) x))
(if (<=.f64 y #s(literal -7482888383134223/374144419156711147060143317175368453031918731001856 binary64)) (/.f64 #s(approx (* x (+ y z)) (.f64 x y)) z) (if (<=.f64 y #s(literal 21000000000000000485830796623596874831757552012120504964217584921010520634939487171456868370501691271806976 binary64)) (/.f64 x #s(approx (/ z (+ y z)) #s(literal 1 binary64))) (/.f64 #s(approx ( x (+ y z)) (*.f64 x y)) z)))
(/.f64 x #s(approx (/ z (+ y z)) #s(literal 1 binary64)))

Outputs
(/.f64 x (/.f64 z (+.f64 y z)))
(/.f64 x (/.f64 z (+.f64 z y)))
(if (<=.f64 y #s(literal 8439210160982241/25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792 binary64)) #s(approx (/ (* x (+ y z)) z) (fma.f64 x (/.f64 y z) x)) (fma.f64 (/.f64 x z) y x))
#s(approx (/ (* x (+ y z)) z) (fma.f64 x (/.f64 y z) x))
(if (<=.f64 y #s(literal -7482888383134223/374144419156711147060143317175368453031918731001856 binary64)) (/.f64 #s(approx (* x (+ y z)) (.f64 x y)) z) (if (<=.f64 y #s(literal 21000000000000000485830796623596874831757552012120504964217584921010520634939487171456868370501691271806976 binary64)) (/.f64 x #s(approx (/ z (+ y z)) #s(literal 1 binary64))) (/.f64 #s(approx ( x (+ y z)) (*.f64 x y)) z)))
(/.f64 x #s(approx (/ z (+ y z)) #s(literal 1 binary64)))

soundness1.1s (18.1%)

Memory

12.7MiB live, 371.0MiB allocated

Rules

10 914×	`lower-fma.f64`
10 914×	`lower-fma.f32`
4 970×	`lower-fma.f32`
4 968×	`lower-fma.f64`
4 302×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	94
0	32	95
1	114	95
2	704	91
3	6826	91
0	8018	91
0	6	15
0	9	15
1	40	15
2	256	15
3	2320	15
0	8156	15
0	158	2361
1	497	2340
2	1317	2310
3	4818	2308
0	8322	2115
0	50	456
1	171	456
2	482	456
3	1327	456
4	2607	456
5	3103	456
6	3446	456
7	3884	456
8	4074	456
9	4117	456
10	5984	456
11	6760	456
12	6984	456
13	7382	456
14	7394	456
15	7403	456
0	8073	426

Stop Event

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

Compiler

Compiled 184 to 88 computations (52.2% saved)

preprocess120.0ms (2.1%)

Memory: -24.4MiB live, 92.9MiB allocated
Remove: (negabs x)
Compiler: Compiled 244 to 110 computations (54.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	18	88
0	27	88
1	43	86
2	51	86
3	59	86
4	61	86
5	63	86
6	69	86
7	69	86
8	107	86
9	120	86
10	179	86
11	199	86
12	208	86
13	220	86
14	220	86
0	220	86

Iter	Nodes	Cost
0	18	88
0	27	88
1	43	86
2	51	86
3	59	86
4	61	86
5	63	86
6	69	86
7	69	86
8	107	86
9	120	86
10	179	86
11	199	86
12	208	86
13	220	86
14	220	86
0	220	86

start0.0ms (0%)

analyze37.0ms (0.6%)

sample854.0ms (14.7%)

explain90.0ms (1.6%)

preprocess257.0ms (4.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify143.0ms (2.5%)

localize18.0ms (0.3%)

series9.0ms (0.2%)

simplify222.0ms (3.8%)

rewrite386.0ms (6.6%)

eval51.0ms (0.9%)

prune251.0ms (4.3%)

simplify228.0ms (3.9%)

localize63.0ms (1.1%)

series24.0ms (0.4%)

simplify203.0ms (3.5%)

rewrite364.0ms (6.3%)

eval239.0ms (4.1%)

prune191.0ms (3.3%)

simplify19.0ms (0.3%)

localize47.0ms (0.8%)

series13.0ms (0.2%)

simplify256.0ms (4.4%)

rewrite282.0ms (4.8%)

eval139.0ms (2.4%)

prune65.0ms (1.1%)

regimes18.0ms (0.3%)

regimes48.0ms (0.8%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

regimes35.0ms (0.6%)

bsearch8.0ms (0.1%)

bsearch59.0ms (1%)

simplify7.0ms (0.1%)

soundness1.1s (18.1%)

preprocess120.0ms (2.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	88
0	27	88
1	43	86
2	51	86
3	59	86
4	61	86
5	63	86
6	69	86
7	69	86
8	107	86
9	120	86
10	179	86
11	199	86
12	208	86
13	220	86
14	220	86
0	220	86