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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze44.0ms (0.8%)

Memory

-14.0MiB live, 66.4MiB 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)

sample785.0ms (14.9%)

Memory

5.7MiB live, 846.5MiB allocated

Samples

514.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 293.0ms

ival-mult: 142.0ms (48.4% of total)

ival-div: 76.0ms (25.9% of total)

ival-add: 66.0ms (22.5% of total)

ival-true: 6.0ms (2% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain79.0ms (1.5%)

Memory

5.4MiB live, 88.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
51	-	1	(3.540056679747062e-73 1.2389827716826255e-244 -4.5996721734664986e-275)	`(/.f64 (*.f64 x (+.f64 y z)) z)`
0	-	0	-	`(+.f64 y z)`
0	-	0	-	`y`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x (+.f64 y z))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	o/n	39	0
↳	`(*.f64 x (+.f64 y z))`	overflow	53
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	u/n	11	0
↳	`(*.f64 x (+.f64 y z))`	underflow	11

Confusion

	Predicted +	Predicted -
+	50	1
-	0	205

Precision

1.0

Recall

0.9803921568627451

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	50	0	1
-	0	0	205

Precision?

1.0

Recall?

0.9803921568627451

Freqs

test

number	freq
0	206
1	50

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

30.0ms

512×

valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

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

ival-add: 10.0ms (57.8% of total)

ival-div: 3.0ms (17.3% of total)

ival-mult: 3.0ms (17.3% of total)

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

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

preprocess229.0ms (4.3%)

Memory

-14.6MiB live, 143.9MiB 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 y (/.f64 x z) x)

Symmetry

(negabs x)

Compiler

Compiled 10 to 6 computations (40% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.3%	(/.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 10 to 6 computations (40% saved)

simplify124.0ms (2.3%)

Memory

-11.8MiB live, 65.2MiB 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 y (/.f64 x z) x)
(*.f64 x (+.f64 y z))
(*.f64 (+.f64 y z) x)
x
(+.f64 y z)
y
z

localize15.0ms (0.3%)

Memory

14.7MiB live, 14.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y z)
accuracy	0.01171875	(*.f64 x (+.f64 y z))
accuracy	11.931460049444723	(/.f64 (*.f64 x (+.f64 y z)) z)

Samples

11.0ms

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 (40.2% of total)

ival-mult: 2.0ms (40.2% of total)

ival-add: 1.0ms (20.1% of total)

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

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

series8.0ms (0.2%)

Memory

8.4MiB live, 8.4MiB 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) (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 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 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 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 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 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 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 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 -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>) () ())) ())
#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 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 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 (/ (* 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) (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 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 (/ (* 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) (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 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 (/ (* 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)) (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)) 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)) (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)) 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)) (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>) () ())) ())

Calls

9 calls:

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

simplify159.0ms (3%)

Memory

7.9MiB live, 46.5MiB allocated

Algorithm

1×	egg-herbie

Rules

2 456×	`lower-fma.f64`
2 456×	`lower-fma.f32`
2 212×	`lower-*.f64`
2 212×	`lower-*.f32`
2 106×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	456
1	171	456
2	482	456
3	1334	456
4	2618	456
5	3113	456
6	3468	456
7	3906	456
8	4096	456
9	4139	456
10	6034	456
11	6810	456
12	7034	456
13	7432	456
14	7444	456
15	7453	456
0	8121	426

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 87

Calls

Call 1

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

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

rewrite267.0ms (5.1%)

Memory

-16.4MiB live, 139.7MiB 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 (pow.f64 (/.f64 (/.f64 z x) (.f64 (+.f64 z y) (-.f64 z y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(.f64 (pow.f64 (/.f64 (/.f64 z x) (.f64 (neg.f64 (+.f64 z y)) (-.f64 y z))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 y z))))
(.f64 (pow.f64 (/.f64 (/.f64 z x) (neg.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)))))
(*.f64 (pow.f64 (/.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 z y))
(.f64 (pow.f64 (/.f64 z (.f64 (*.f64 (-.f64 y z) (+.f64 z y)) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y z)))
(.f64 (pow.f64 (/.f64 z (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z y) z (.f64 y y))))
(.f64 (pow.f64 (/.f64 z (.f64 (.f64 (+.f64 z y) x) (.f64 x (-.f64 y z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y z))))
(.f64 (pow.f64 (/.f64 z (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 z z) z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y x) y) x (.f64 (.f64 z x) (-.f64 (.f64 z x) (.f64 y x))))))
(.f64 (pow.f64 (/.f64 (/.f64 z x) (.f64 (-.f64 y z) (+.f64 z y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y z)))
(.f64 (pow.f64 (/.f64 (/.f64 z x) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z y) z (*.f64 y y))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 z y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 z) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 z) (+.f64 z y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (+.f64 z y) z))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 z y) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (+.f64 z y))) (/.f64 #s(literal -1 binary64) z))
(.f64 (pow.f64 (/.f64 z (.f64 (+.f64 z y) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 (+.f64 z y) x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (+.f64 z y) z))
(*.f64 (/.f64 (+.f64 z y) #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 (+.f64 z y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 z y)) z))
(.f64 (.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 z y) z))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 z y) x))) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 x z) (+.f64 z y))
(.f64 (neg.f64 x) (.f64 (+.f64 z y) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (+.f64 z y)) z))
(.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 z y) x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.f64 x) (+.f64 z y)))
(*.f64 (neg.f64 (+.f64 z y)) (/.f64 (neg.f64 x) z))
(.f64 (neg.f64 (+.f64 z y)) (.f64 x (/.f64 #s(literal -1 binary64) z)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)))
(*.f64 (/.f64 (+.f64 z y) z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 z y) z) x)
(.f64 (.f64 (-.f64 y z) (+.f64 z y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) (/.f64 x z)))
(.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 z y) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 z y) x))))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (+.f64 z y) x))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 z y) x) z))
(.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z y) z (.f64 y y))) (/.f64 x z)))
(.f64 (.f64 (neg.f64 x) (+.f64 z y)) (/.f64 #s(literal -1 binary64) z))
(.f64 (/.f64 (.f64 (+.f64 z y) x) z) #s(literal 1 binary64))
(.f64 (.f64 (+.f64 z y) x) (/.f64 #s(literal 1 binary64) z))
(.f64 (+.f64 z y) (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (+.f64 z y) (/.f64 x z))
(*.f64 x (/.f64 (+.f64 z y) z))
(pow.f64 (exp.f64 (log.f64 (/.f64 z (*.f64 (+.f64 z y) x)))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 z (.f64 (+.f64 z y) x)) (/.f64 z (*.f64 (+.f64 z y) x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 z (*.f64 (+.f64 z y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 z (*.f64 (+.f64 z y) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (+.f64 z y) x) z) #s(literal 1 binary64))
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(-.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (-.f64 y z) (fma.f64 (.f64 z z) (fma.f64 z z (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))))) (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (-.f64 y z) (fma.f64 (.f64 z z) (fma.f64 z z (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (-.f64 y z)))) (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (-.f64 y z)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)))) (neg.f64 (+.f64 z y)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y y) (.f64 y y)) (fma.f64 z z (.f64 y y))) (-.f64 y z)) (/.f64 (/.f64 (.f64 (.f64 z z) (.f64 z z)) (fma.f64 z z (.f64 y y))) (-.f64 y z)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (fma.f64 (.f64 z z) (fma.f64 z z (.f64 y y)) (.f64 (.f64 y y) (.f64 y y)))) (-.f64 y z)) (/.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (fma.f64 (.f64 z z) (fma.f64 z z (.f64 y y)) (.f64 (.f64 y y) (.f64 y y)))) (-.f64 y z)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (-.f64 y z))) (fma.f64 (-.f64 z y) z (.f64 y y))) (/.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (-.f64 y z))) (fma.f64 (-.f64 z y) z (.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 y z))) (neg.f64 (+.f64 z y)))
(-.f64 (/.f64 (.f64 z z) (-.f64 z y)) (/.f64 (.f64 y y) (-.f64 z y)))
(-.f64 (.f64 y (/.f64 y (-.f64 y z))) (.f64 z (/.f64 z (-.f64 y z))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y))) #s(literal -1 binary64)))
(+.f64 (.f64 y (/.f64 y (-.f64 y z))) (neg.f64 (.f64 z (/.f64 z (-.f64 y z)))))
(+.f64 z y)
(+.f64 y z)

eval80.0ms (1.5%)

Memory: 6.5MiB live, 63.2MiB allocated
Compiler: Compiled 10 565 to 1 289 computations (87.8% saved)

prune124.0ms (2.4%)

Memory

-34.0MiB live, 82.6MiB 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
	81.3%	(/.f64 (fma.f64 z x (*.f64 y x)) z)
✓	81.3%	(/.f64 (*.f64 x (+.f64 y z)) z)
▶	42.1%	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
▶	42.7%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
▶	96.8%	(/.f64 x (/.f64 z (+.f64 z y)))
▶	96.6%	(*.f64 (/.f64 (+.f64 z y) z) x)
	81.2%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (+.f64 z y) x))
▶	94.3%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))

Compiler

Compiled 152 to 88 computations (42.1% saved)

simplify174.0ms (3.3%)

Memory

18.7MiB live, 100.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

9 632×	`lower-fma.f32`
9 630×	`lower-fma.f64`
3 928×	`lower-*.f32`
3 922×	`lower-*.f64`
1 986×	`associate-/r/`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	20	113
0	32	114
1	47	114
2	57	114
3	59	114
4	64	110
5	74	110
6	74	110
7	191	110
8	643	110
9	2777	110
10	3849	110
11	4735	110
12	4816	110
13	4901	110
14	5006	110
15	5128	110
16	6867	110
0	8181	110

Stop Event

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

Calls

Call 1

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

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

localize69.0ms (1.3%)

Memory

16.2MiB live, 54.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 z y)
accuracy	0.0078125	(/.f64 (+.f64 z y) z)
accuracy	2.186089074563139	(*.f64 (/.f64 (+.f64 z y) z) x)
accuracy	0	(/.f64 x z)
accuracy	0	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))
accuracy	3.6703260514850613	(fma.f64 (/.f64 x z) y x)
accuracy	0	(*.f64 z x)
accuracy	11.931460049444723	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
accuracy	25.77629263970352	#s(approx (* x (+ y z)) (*.f64 z x))
accuracy	0	(*.f64 y x)
accuracy	11.931460049444723	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
accuracy	32.265983596381865	#s(approx (* x (+ y z)) (*.f64 y x))
accuracy	0	(+.f64 z y)
accuracy	0.00390625	(/.f64 z (+.f64 z y))
accuracy	2.078396134370408	(/.f64 x (/.f64 z (+.f64 z y)))

Samples

58.0ms

256×

valid

Compiler

Compiled 93 to 18 computations (80.6% saved)

Precisions

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

ival-div: 8.0ms (42.2% of total)

ival-mult: 7.0ms (36.9% of total)

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

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

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

series69.0ms (1.3%)

Memory

-13.2MiB live, 26.1MiB allocated

Counts

14 → 432

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
47.0ms	z	@	-inf	((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ x z) y) x) (/ x z) (* (/ (+ z y) z) x) (/ (+ z y) z))
2.0ms	x	@	-inf	((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ x z) y) x) (/ x z) (* (/ (+ z y) z) x) (/ (+ z y) z))
2.0ms	z	@	inf	((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ x z) y) x) (/ x z) (* (/ (+ z y) z) x) (/ (+ z y) z))
2.0ms	x	@	inf	((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ x z) y) x) (/ x z) (* (/ (+ z y) z) x) (/ (+ z y) z))
2.0ms	z	@	0	((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ x z) y) x) (/ x z) (* (/ (+ z y) z) x) (/ (+ z y) z))

simplify267.0ms (5.1%)

Memory

-7.1MiB live, 112.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 908×	`lower-fma.f64`
9 908×	`lower-fma.f32`
3 836×	`lower-*.f64`
3 836×	`lower-*.f32`
1 504×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	2391
1	507	2370
2	1332	2340
3	4904	2338
0	8243	2145

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 408

Calls

Call 1

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

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

rewrite226.0ms (4.3%)

Memory

9.8MiB live, 248.4MiB allocated

Rules

5 044×	`lower-*.f32`
5 038×	`lower-*.f64`
4 598×	`lower-/.f32`
4 586×	`lower-/.f64`
4 330×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	96
0	32	96
1	115	96
2	771	96
0	8436	96

Stop Event

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

Counts

14 → 1 286

Calls

Call 1

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

Outputs
(.f64 (.f64 (/.f64 (neg.f64 x) z) #s(literal -1 binary64)) (+.f64 y z))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (-.f64 (neg.f64 z) y) x)) (/.f64 #s(literal -1 binary64) z))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)) (-.f64 (neg.f64 z) y))
(.f64 (pow.f64 (/.f64 z (.f64 (+.f64 y z) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 (+.f64 y z) x)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (.f64 (+.f64 y z) (-.f64 z y)))) (/.f64 x (-.f64 z y)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (.f64 (+.f64 y z) (-.f64 y z)))) (/.f64 x (-.f64 y z)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (/.f64 x (fma.f64 y (-.f64 y z) (*.f64 z z))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (/.f64 x (fma.f64 z (-.f64 z y) (*.f64 y y))))
(.f64 (/.f64 x (/.f64 z (.f64 (+.f64 y z) (-.f64 z y)))) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(.f64 (/.f64 x (/.f64 z (.f64 (+.f64 y z) (-.f64 y z)))) (/.f64 #s(literal 1 binary64) (-.f64 y z)))
(.f64 (/.f64 x (/.f64 z (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z))))
(.f64 (/.f64 x (/.f64 z (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z y) (*.f64 y y))))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 y z))) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (+.f64 y z) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 (neg.f64 z) y) z))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y z) (-.f64 z y)))) (/.f64 x (-.f64 z y)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y z) (-.f64 y z)))) (/.f64 x (-.f64 y z)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (/.f64 x (fma.f64 y (-.f64 y z) (*.f64 z z))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (/.f64 x (fma.f64 z (-.f64 z y) (*.f64 y y))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (.f64 (+.f64 y z) x))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y z) (-.f64 z y)))) (/.f64 (/.f64 x z) (-.f64 z y)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y z) (-.f64 y z)))) (/.f64 (/.f64 x z) (-.f64 y z)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (/.f64 (/.f64 x z) (fma.f64 y (-.f64 y z) (*.f64 z z))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (/.f64 (/.f64 x z) (fma.f64 z (-.f64 z y) (*.f64 y y))))
(.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y z) (-.f64 z y)))) (/.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 z y)))
(.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y z) (-.f64 y z)))) (/.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 y z)))
(.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (/.f64 (/.f64 #s(literal -1 binary64) z) (fma.f64 y (-.f64 y z) (*.f64 z z))))
(.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (/.f64 (/.f64 #s(literal -1 binary64) z) (fma.f64 z (-.f64 z y) (*.f64 y y))))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (-.f64 (neg.f64 z) y) z))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y z) (-.f64 z y)))) (/.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 z y)))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y z) (-.f64 y z)))) (/.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 y z)))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (/.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 y (-.f64 y z) (*.f64 z z))))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (/.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 z (-.f64 z y) (*.f64 y y))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (-.f64 (neg.f64 z) y) z))
(.f64 (.f64 (/.f64 x z) (*.f64 (+.f64 y z) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(.f64 (.f64 (/.f64 x z) (*.f64 (+.f64 y z) (-.f64 y z))) (/.f64 #s(literal 1 binary64) (-.f64 y z)))
(.f64 (.f64 (/.f64 x z) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (.f64 z z))))
(.f64 (.f64 (/.f64 x z) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z y) (.f64 y y))))
(*.f64 (/.f64 (neg.f64 x) z) (-.f64 (neg.f64 z) y))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 y z))))
(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (-.f64 (neg.f64 z) y) x))
(.f64 (.f64 (.f64 (-.f64 (neg.f64 z) y) x) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 z) (-.f64 z y))))
(.f64 (.f64 (.f64 (-.f64 (neg.f64 z) y) x) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 z) (-.f64 y z))))
(.f64 (.f64 (neg.f64 x) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 z) (fma.f64 y (-.f64 y z) (*.f64 z z)))))
(.f64 (.f64 (neg.f64 x) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 z) (fma.f64 z (-.f64 z y) (*.f64 y y)))))
(.f64 (.f64 (.f64 (+.f64 y z) x) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (.f64 z (-.f64 z y))))
(.f64 (.f64 (.f64 (+.f64 y z) x) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 z (-.f64 y z))))
(.f64 (.f64 x (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (.f64 z (fma.f64 y (-.f64 y z) (*.f64 z z)))))
(.f64 (.f64 x (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (.f64 z (fma.f64 z (-.f64 z y) (*.f64 y y)))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (-.f64 (neg.f64 z) y) x) z))
(.f64 (.f64 (+.f64 y z) (-.f64 z y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (/.f64 x z)))
(.f64 (.f64 (+.f64 y z) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z x) (-.f64 z y))))
(.f64 (.f64 (+.f64 y z) (-.f64 y z)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) (/.f64 x z)))
(.f64 (.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 y z)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y z) x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (+.f64 y z) x))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 y z) x) z))
(.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (.f64 z z))) (/.f64 x z)))
(.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z y) (.f64 y y))) (/.f64 x z)))
(.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 z x) (fma.f64 y (-.f64 y z) (.f64 z z)))))
(.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 z x) (fma.f64 z (-.f64 z y) (.f64 y y)))))
(.f64 (.f64 (-.f64 (neg.f64 z) y) x) (/.f64 #s(literal -1 binary64) z))
(.f64 (-.f64 (neg.f64 z) y) (.f64 (/.f64 #s(literal -1 binary64) z) x))
(*.f64 (-.f64 (neg.f64 z) y) (/.f64 (neg.f64 x) z))
(*.f64 (neg.f64 x) (/.f64 (-.f64 (neg.f64 z) y) z))
(*.f64 (/.f64 (+.f64 y z) z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 y z) z) x)
(*.f64 (/.f64 x z) (+.f64 y z))
(.f64 (.f64 (+.f64 y z) x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (+.f64 y z) (/.f64 x z))
(*.f64 x (/.f64 (+.f64 y z) z))
(pow.f64 (/.f64 z (*.f64 (+.f64 y z) x)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (-.f64 (neg.f64 z) y) x) #s(literal -1 binary64)) z)
(/.f64 (/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (-.f64 z y)))) (-.f64 z y))
(/.f64 (/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (-.f64 y z)))) (-.f64 y z))
(/.f64 (/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (fma.f64 y (-.f64 y z) (.f64 z z)))
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eval308.0ms (5.8%)

Memory: 25.4MiB live, 364.1MiB allocated
Compiler: Compiled 32 550 to 2 543 computations (92.2% saved)

prune366.0ms (6.9%)

Memory

-12.1MiB live, 478.2MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	1 814	5	1 819
Fresh	2	0	2
Picked	3	2	5
Done	1	0	1
Total	1 820	7	1 827

Accuracy

100.0%

Counts

1 827 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	42.7%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
▶	42.7%	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
▶	42.7%	(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( x (+ y z)) (*.f64 y x)))
▶	42.5%	(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x)
▶	57.1%	(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
▶	96.6%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
✓	94.3%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))

Compiler

Compiled 111 to 64 computations (42.3% saved)

simplify180.0ms (3.4%)

Memory

17.6MiB live, 211.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

8 758×	`lower-fma.f32`
8 756×	`lower-fma.f64`
6 100×	`lower-*.f32`
6 092×	`lower-*.f64`
1 908×	`lower-+.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	24	128
0	34	128
1	57	126
2	69	126
3	84	126
4	90	126
5	144	126
6	167	125
7	263	125
8	441	125
9	1410	125
10	1869	125
11	2286	125
12	2673	125
13	3808	125
14	4092	125
15	4424	125
16	6004	125
17	6578	125
18	7246	125
19	7871	125
0	8133	125

Stop Event

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

Calls

Call 1

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

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

localize51.0ms (1%)

Memory

-16.0MiB live, 147.1MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 z y)
accuracy	2.078396134370408	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
accuracy	35.20297168476824	#s(approx (/ z (+ z y)) (/.f64 z y))
accuracy	0	(/.f64 #s(literal 1 binary64) z)
accuracy	0	(*.f64 y x)
accuracy	12.040835049444723	(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( x (+ y z)) (*.f64 y x)))
accuracy	32.265983596381865	#s(approx (* x (+ y z)) (*.f64 y x))
accuracy	0	(/.f64 y z)
accuracy	2.186089074563139	(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x)
accuracy	34.92431627346554	#s(approx (/ (+ z y) z) (/.f64 y z))
accuracy	2.186089074563139	(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
accuracy	27.661624023375815	#s(approx (/ (+ z y) z) #s(literal 1 binary64))
accuracy	0	(/.f64 y z)
accuracy	0	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
accuracy	2.186089074563139	(fma.f64 (/.f64 y z) x x)

Samples

40.0ms

256×

valid

Compiler

Compiled 96 to 21 computations (78.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 12.0ms (51.5% of total)

ival-mult: 7.0ms (30% of total)

ival-add: 4.0ms (17.2% of total)

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

exact: 0.0ms (0% of total)

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

series48.0ms (0.9%)

Memory

-2.5MiB live, 91.5MiB allocated

Counts

14 → 408

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ 1 z) (* x (+ y z))) (/ 1 z) (* x (+ y z)) (* y x) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y))
2.0ms	y	@	0	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ 1 z) (* x (+ y z))) (/ 1 z) (* x (+ y z)) (* y x) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y))
2.0ms	z	@	-inf	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ 1 z) (* x (+ y z))) (/ 1 z) (* x (+ y z)) (* y x) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y))
1.0ms	x	@	-inf	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ 1 z) (* x (+ y z))) (/ 1 z) (* x (+ y z)) (* y x) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y))
1.0ms	z	@	0	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ 1 z) (* x (+ y z))) (/ 1 z) (* x (+ y z)) (* y x) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y))

simplify162.0ms (3.1%)

Memory

-23.9MiB live, 295.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 648×	`lower-fma.f64`
12 648×	`lower-fma.f32`
4 068×	`lower-*.f64`
4 068×	`lower-*.f32`
2 920×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	2301
1	472	2280
2	1256	2250
3	4401	2248
0	8392	2055

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 390

Calls

Call 1

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

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

rewrite133.0ms (2.5%)

Memory

27.0MiB live, 299.1MiB allocated

Rules

5 394×	`lower-*.f32`
5 386×	`lower-*.f64`
4 858×	`lower-/.f32`
4 850×	`lower-/.f64`
4 810×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	110
0	34	110
1	126	108
2	794	108
0	8493	108

Stop Event

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

Counts

14 → 264

Calls

Call 1

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

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

eval101.0ms (1.9%)

Memory: -7.2MiB live, 272.4MiB allocated
Compiler: Compiled 8 290 to 687 computations (91.7% saved)

prune61.0ms (1.2%)

Memory

-11.4MiB live, 191.2MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	722	0	722
Fresh	0	0	0
Picked	0	5	5
Done	0	2	2
Total	722	7	729

Accuracy

100.0%

Counts

729 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	42.7%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
✓	42.7%	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
✓	42.7%	(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( x (+ y z)) (*.f64 y x)))
✓	42.5%	(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x)
✓	57.1%	(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
✓	96.6%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
✓	94.3%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))

Compiler

Compiled 156 to 67 computations (57.1% saved)

regimes19.0ms (0.4%)

Memory

19.2MiB live, 59.6MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

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
96.8%	1	`x`
96.8%	1	`y`
96.8%	1	`z`
96.8%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes18.0ms (0.3%)

Memory

5.9MiB live, 44.8MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
96.6%	1	`x`
96.6%	1	`z`
96.6%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`
96.6%	1	`y`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes12.0ms (0.2%)

Memory

-10.8MiB live, 27.8MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)
2.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
94.3%	1	`x`
94.3%	1	`y`
94.3%	1	`z`
94.3%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes10.0ms (0.2%)

Memory

-12.4MiB live, 26.4MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	y
2.0ms	z
2.0ms	x
2.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
61.2%	3	`x`
78.0%	3	`y`
76.4%	3	`z`
78.4%	2	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes2.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
77.4%	2	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes5.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
57.1%	1	`x`
57.1%	1	`z`
57.1%	1	`y`
57.1%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.99687420040554e-256	0.0

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.99687420040554e-256	0.0

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify9.0ms (0.2%)

Memory

-27.7MiB live, 17.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	104
1	40	104

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (/.f64 z (+.f64 z y)))
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -2113178124542661/4226356249085321970818718279332132852150778608288972177023685672213391220453798875795338047101257503157395159946057029431058780476021484298004311827703516615267093471992040673349852141411411528424193863265689507233184226342012493910707175190136291811916308647181903986688 binary64)) (/.f64 #s(approx ( x (+ y z)) (.f64 y x)) z) (.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -2113178124542661/4226356249085321970818718279332132852150778608288972177023685672213391220453798875795338047101257503157395159946057029431058780476021484298004311827703516615267093471992040673349852141411411528424193863265689507233184226342012493910707175190136291811916308647181903986688 binary64)) (.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x))
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)

Outputs
(/.f64 x (/.f64 z (+.f64 z y)))
(/.f64 x (/.f64 z (+.f64 y z)))
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -2113178124542661/4226356249085321970818718279332132852150778608288972177023685672213391220453798875795338047101257503157395159946057029431058780476021484298004311827703516615267093471992040673349852141411411528424193863265689507233184226342012493910707175190136291811916308647181903986688 binary64)) (/.f64 #s(approx ( x (+ y z)) (.f64 y x)) z) (.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x))
(if (<=.f64 (/.f64 (.f64 (+.f64 y z) x) z) #s(literal -2113178124542661/4226356249085321970818718279332132852150778608288972177023685672213391220453798875795338047101257503157395159946057029431058780476021484298004311827703516615267093471992040673349852141411411528424193863265689507233184226342012493910707175190136291811916308647181903986688 binary64)) (/.f64 #s(approx ( x (+ y z)) (.f64 y x)) z) (.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -2113178124542661/4226356249085321970818718279332132852150778608288972177023685672213391220453798875795338047101257503157395159946057029431058780476021484298004311827703516615267093471992040673349852141411411528424193863265689507233184226342012493910707175190136291811916308647181903986688 binary64)) (.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x))
(if (<=.f64 (/.f64 (.f64 (+.f64 y z) x) z) #s(literal -2113178124542661/4226356249085321970818718279332132852150778608288972177023685672213391220453798875795338047101257503157395159946057029431058780476021484298004311827703516615267093471992040673349852141411411528424193863265689507233184226342012493910707175190136291811916308647181903986688 binary64)) (.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x))
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)

soundness992.0ms (18.8%)

Memory

11.7MiB live, 525.4MiB allocated

Rules

9 908×	`lower-fma.f64`
9 908×	`lower-fma.f32`
4 302×	`lower-fma.f64`
4 302×	`lower-fma.f32`
4 234×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	2391
1	507	2370
2	1332	2340
3	4904	2338
0	8243	2145
0	50	456
1	171	456
2	482	456
3	1334	456
4	2618	456
5	3113	456
6	3468	456
7	3906	456
8	4096	456
9	4139	456
10	6034	456
11	6810	456
12	7034	456
13	7432	456
14	7444	456
15	7453	456
0	8121	426
0	6	15
0	9	15
1	40	15
2	256	15
3	2320	15
0	8156	15

Stop Event

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

Compiler

Compiled 242 to 114 computations (52.9% saved)

preprocess81.0ms (1.5%)

Memory: 11.3MiB live, 169.1MiB allocated
Remove: (negabs x)
Compiler: Compiled 216 to 90 computations (58.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze44.0ms (0.8%)

sample785.0ms (14.9%)

explain79.0ms (1.5%)

preprocess229.0ms (4.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify124.0ms (2.3%)

localize15.0ms (0.3%)

series8.0ms (0.2%)

simplify159.0ms (3%)

rewrite267.0ms (5.1%)

eval80.0ms (1.5%)

prune124.0ms (2.4%)

simplify174.0ms (3.3%)

localize69.0ms (1.3%)

series69.0ms (1.3%)

simplify267.0ms (5.1%)

rewrite226.0ms (4.3%)

eval308.0ms (5.8%)

prune366.0ms (6.9%)

simplify180.0ms (3.4%)

localize51.0ms (1%)

series48.0ms (0.9%)

simplify162.0ms (3.1%)

rewrite133.0ms (2.5%)

eval101.0ms (1.9%)

prune61.0ms (1.2%)

regimes19.0ms (0.4%)

regimes18.0ms (0.3%)

regimes12.0ms (0.2%)

regimes10.0ms (0.2%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

soundness992.0ms (18.8%)

preprocess81.0ms (1.5%)

end0.0ms (0%)

Profiling