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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze36.0ms (0.1%)

Memory

26.9MiB live, 65.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample606.0ms (2.3%)

Memory

9.8MiB live, 1 066.7MiB allocated

Samples

372.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

ival-div: 58.0ms (32.4% of total)

ival-mult: 57.0ms (31.8% of total)

ival-add: 56.0ms (31.2% of total)

ival-true: 6.0ms (3.3% of total)

ival-assert: 3.0ms (1.7% of total)

Bogosity

explain60.0ms (0.2%)

Memory

1.3MiB live, 122.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
42	-	1	(1.0093109259339354e-248 1.519491154021339e-74 -2.0253920156297969e-100)	`(/.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	30	0
↳	`(*.f64 x (+.f64 y z))`	overflow	49
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	u/n	11	0
↳	`(*.f64 x (+.f64 y z))`	underflow	11

Confusion

	Predicted +	Predicted -
+	41	1
-	0	214

Precision

1.0

Recall

0.9761904761904762

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	41	0	1
-	0	0	214

Precision?

1.0

Recall?

0.9761904761904762

Freqs

test

number	freq
0	215
1	41

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms

512×

valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

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

ival-mult: 6.0ms (45.5% of total)

ival-div: 3.0ms (22.8% of total)

ival-add: 3.0ms (22.8% of total)

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

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

preprocess162.0ms (0.6%)

Memory

8.9MiB live, 204.1MiB allocated

Algorithm

1×	egg-herbie

Rules

2 796×	`lower-fma.f64`
2 796×	`lower-fma.f32`
1 956×	`div-add`
1 740×	`div-add-rev`
1 702×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	106	66
2	403	64
3	1578	63
4	5366	63
0	6	7
0	9	7
1	19	7
2	42	7
3	85	7
4	167	7
5	670	7
6	3130	7
7	6750	7
8	7834	7
0	8020	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Samples

0.0ms

2×

valid

Compiler

Compiled 36 to 23 computations (36.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

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

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB 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
▶	84.5%	(/.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 10 to 6 computations (40% saved)

simplify238.0ms (0.9%)

Memory

-15.9MiB live, 387.3MiB 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

2 796×	`lower-fma.f64`
2 796×	`lower-fma.f32`
1 956×	`div-add`
1 740×	`div-add-rev`
1 702×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	19	18
2	42	18
3	85	18
4	167	18
5	670	18
6	3130	18
7	6750	18
8	7834	18
0	8020	17

Stop Event

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

Calls

Call 1

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

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

Samples

46.0ms

1 572×

valid

Compiler

Compiled 8 540 to 8 221 computations (3.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-add: 6.0ms (41.8% of total)

ival-mult: 4.0ms (27.9% of total)

ival-div: 3.0ms (20.9% of total)

ival-true: 1.0ms (7% of total)

ival-assert: 1.0ms (7% of total)

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

exact: 0.0ms (0% of total)

localize20.0ms (0.1%)

Memory

-0.4MiB live, 38.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y z)
accuracy	0	(*.f64 x (+.f64 y z))
accuracy	9.939474377867752	(/.f64 (*.f64 x (+.f64 y z)) z)

Samples

14.0ms

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 (37.5% of total)

ival-mult: 2.0ms (37.5% of total)

ival-add: 1.0ms (18.7% of total)

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

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

series9.0ms (0%)

Memory

18.1MiB live, 18.1MiB allocated

Counts

3 → 96

Calls

Call 1

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

Inputs

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

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

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

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

Calls

24 calls:

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

simplify2.6s (9.9%)

Memory

67.6MiB live, 4 997.0MiB allocated

Algorithm

1×	egg-herbie

Rules

13 604×	`lower-fma.f64`
13 604×	`lower-fma.f32`
2 672×	`lower-*.f64`
2 672×	`lower-*.f32`
1 976×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	456
1	181	456
2	576	456
3	1659	456
4	3172	456
5	4896	456
6	5274	456
7	5697	456
8	6368	456
9	6822	456
0	8302	426

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 87

Calls

Call 1

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

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

Samples

1.1s

24 657×

valid

Compiler

Compiled 186 765 to 171 222 computations (8.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 462.0ms

ival-mult: 237.0ms (51.3% of total)

ival-add: 125.0ms (27% of total)

ival-div: 67.0ms (14.5% of total)

ival-true: 21.0ms (4.5% of total)

ival-assert: 10.0ms (2.2% of total)

exact: 2.0ms (0.4% of total)

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

rewrite196.0ms (0.7%)

Memory

7.0MiB live, 283.7MiB allocated

Rules

3 128×	`lower-/.f32`
3 126×	`lower-/.f64`
2 910×	`lower-*.f32`
2 908×	`lower-*.f64`
2 478×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	40	15
2	284	15
3	2778	15
0	9742	15

Stop Event

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

Counts

3 → 591

Calls

Call 1

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

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

eval81.0ms (0.3%)

Memory: 13.7MiB live, 167.4MiB allocated
Compiler: Compiled 16 892 to 1 870 computations (88.9% saved)

prune120.0ms (0.5%)

Memory

-23.8MiB live, 255.9MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	673	5	678
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	673	6	679

Accuracy

100.0%

Counts

679 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.5%	(/.f64 (*.f64 x (+.f64 y z)) z)
▶	38.1%	(/.f64 #s(approx (* x (+ y z)) (*.f64 x z)) z)
▶	49.3%	(/.f64 #s(approx (* x (+ y z)) (*.f64 x y)) z)
▶	86.7%	(*.f64 (/.f64 x z) (+.f64 y z))
▶	84.4%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x (+.f64 y z)))
▶	95.4%	#s(approx (/ (* x (+ y z)) z) (fma.f64 x (/.f64 y z) x))

Compiler

Compiled 110 to 64 computations (41.8% saved)

simplify781.0ms (2.9%)

Memory

48.6MiB live, 1 463.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 y z)
cost-diff	0	(*.f64 x (+.f64 y z))
cost-diff	0	(/.f64 #s(literal 1 binary64) z)
cost-diff	448	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x (+.f64 y z)))
cost-diff	0	(+.f64 y z)
cost-diff	0	(/.f64 x z)
cost-diff	128	(*.f64 (/.f64 x z) (+.f64 y z))
cost-diff	0	(*.f64 x z)
cost-diff	0	#s(approx (* x (+ y z)) (*.f64 x z))
cost-diff	0	(/.f64 #s(approx (* x (+ y z)) (*.f64 x z)) z)
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (* x (+ y z)) (*.f64 x y))
cost-diff	0	(/.f64 #s(approx (* x (+ y z)) (*.f64 x y)) z)
cost-diff	0	(/.f64 y z)
cost-diff	0	(fma.f64 x (/.f64 y z) x)
cost-diff	0	#s(approx (/ (* x (+ y z)) z) (fma.f64 x (/.f64 y z) x))

Rules

3 390×	`lower-fma.f32`
3 388×	`lower-fma.f64`
2 232×	`lower-*.f32`
2 222×	`lower-*.f64`
1 814×	`div-add-rev`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	117
0	36	113
1	61	113
2	126	112
3	353	112
4	824	112
5	3132	112
6	7020	112
0	8023	112

Stop Event

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

Calls

Call 1

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

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

Samples

272.0ms	8 221×	0	valid
1.0ms	4×	2	valid

Compiler

Compiled 46 237 to 44 088 computations (4.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-mult: 27.0ms (30.6% of total)

ival-div: 25.0ms (28.3% of total)

ival-add: 22.0ms (24.9% of total)

ival-true: 7.0ms (7.9% of total)

ival-assert: 4.0ms (4.5% of total)

exact: 2.0ms (2.3% of total)

ival-sub: 1.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

localize65.0ms (0.2%)

Memory

-13.8MiB live, 100.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1 binary64) z)
accuracy	0	(+.f64 y z)
accuracy	0	(*.f64 x (+.f64 y z))
accuracy	9.990255627867752	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x (+.f64 y z)))
accuracy	0	(/.f64 x z)
accuracy	0	(+.f64 y z)
accuracy	8.543408635780894	(*.f64 (/.f64 x z) (+.f64 y z))
accuracy	0	(*.f64 x z)
accuracy	9.939474377867752	(/.f64 #s(approx (* x (+ y z)) (*.f64 x z)) z)
accuracy	30.898418262702855	#s(approx (* x (+ y z)) (*.f64 x z))
accuracy	0	(*.f64 x y)
accuracy	9.939474377867752	(/.f64 #s(approx (* x (+ y z)) (*.f64 x y)) z)
accuracy	27.64187458003142	#s(approx (* x (+ y z)) (*.f64 x y))
accuracy	0	(/.f64 y z)
accuracy	0	#s(approx (/ (* x (+ y z)) z) (fma.f64 x (/.f64 y z) x))
accuracy	2.920753051765854	(fma.f64 x (/.f64 y z) x)

Samples

36.0ms

256×

valid

Compiler

Compiled 97 to 18 computations (81.4% saved)

Precisions

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

ival-mult: 9.0ms (48.6% of total)

ival-div: 7.0ms (37.8% of total)

ival-add: 3.0ms (16.2% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.1%)

Memory

37.0MiB live, 37.0MiB allocated

Counts

15 → 456

Calls

Call 1

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

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

Calls

114 calls:

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

simplify12.8s (48.1%)

Memory

-347.6MiB live, 23 603.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 404×	`lower-fma.f64`
12 404×	`lower-fma.f32`
2 664×	`lower-*.f64`
2 664×	`lower-*.f32`
1 878×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	2256
1	196	2256
2	601	2256
3	1733	2256
4	3207	2256
5	4999	2256
6	5377	2256
7	5798	2256
8	6468	2256
9	6957	2256
0	8389	2076

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 432

Calls

Call 1

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

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

Samples

5.2s	116 876×	0	valid
1.0ms	4×	2	valid

Compiler

Compiled 932 496 to 863 076 computations (7.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.2s

ival-mult: 966.0ms (43.4% of total)

ival-add: 561.0ms (25.2% of total)

ival-div: 524.0ms (23.5% of total)

ival-true: 100.0ms (4.5% of total)

ival-assert: 49.0ms (2.2% of total)

exact: 25.0ms (1.1% of total)

ival-sub: 1.0ms (0% of total)

adjust: 0.0ms (0% of total)

rewrite288.0ms (1.1%)

Memory

18.1MiB live, 407.2MiB allocated

Rules

7 364×	`lower-fma.f32`
7 362×	`lower-fma.f64`
4 454×	`lower-*.f32`
4 444×	`lower-*.f64`
2 970×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	99
0	36	95
1	119	95
2	742	94
3	7413	94
0	8194	94

Stop Event

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

Counts

15 → 1 208

Calls

Call 1

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

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

eval198.0ms (0.7%)

Memory: 12.0MiB live, 395.5MiB allocated
Compiler: Compiled 36 918 to 1 686 computations (95.4% saved)

prune180.0ms (0.7%)

Memory

11.6MiB live, 376.7MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1 753	2	1 755
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	1 755	6	1 761

Accuracy

100.0%

Counts

1 761 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.5%	(fma.f64 (/.f64 x z) y x)
✓	84.5%	(/.f64 (*.f64 x (+.f64 y z)) z)
✓	38.1%	(/.f64 #s(approx (* x (+ y z)) (*.f64 x z)) z)
✓	49.3%	(/.f64 #s(approx (* x (+ y z)) (*.f64 x y)) z)
▶	49.3%	(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( x (+ y z)) (*.f64 x y)))
✓	95.4%	#s(approx (/ (* x (+ y z)) z) (fma.f64 x (/.f64 y z) x))

Compiler

Compiled 58 to 33 computations (43.1% saved)

simplify319.0ms (1.2%)

Memory

-23.8MiB live, 609.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

608×	`lower-fma.f32`
606×	`lower-fma.f64`
400×	`lower-*.f32`
396×	`lower-*.f64`
306×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	44
0	18	44
1	34	42
2	54	42
3	108	42
4	183	42
5	532	42
6	1404	42
7	1603	42
8	1664	42
9	1822	42
10	1827	42
11	1828	42
0	1828	42

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

Samples

98.0ms	3 407×	0	valid
0.0ms	2×	2	valid

Compiler

Compiled 17 989 to 17 609 computations (2.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-div: 10.0ms (31.4% of total)

ival-add: 8.0ms (25.1% of total)

ival-mult: 8.0ms (25.1% of total)

ival-true: 3.0ms (9.4% of total)

ival-assert: 1.0ms (3.1% of total)

exact: 1.0ms (3.1% of total)

adjust: 0.0ms (0% of total)

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

localize34.0ms (0.1%)

Memory

23.4MiB live, 62.1MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x z)
accuracy	3.5454638047041627	(fma.f64 (/.f64 x z) y x)
accuracy	0	(/.f64 #s(literal 1 binary64) z)
accuracy	0	(*.f64 x y)
accuracy	9.990255627867752	(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( x (+ y z)) (*.f64 x y)))
accuracy	27.64187458003142	#s(approx (* x (+ y z)) (*.f64 x y))

Samples

22.0ms

256×

valid

Compiler

Compiled 39 to 14 computations (64.1% saved)

Precisions

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

ival-mult: 6.0ms (47.2% of total)

ival-div: 4.0ms (31.5% of total)

ival-add: 3.0ms (23.6% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

6 → 168

Calls

Call 1

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

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

Calls

42 calls:

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

simplify6.0s (22.5%)

Memory

40.0MiB live, 9 282.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 296×	`lower-fma.f64`
4 296×	`lower-fma.f32`
2 572×	`lower-*.f64`
2 572×	`lower-*.f32`
1 410×	`div-add`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	804
1	160	804
2	510	804
3	1380	804
4	4114	804
5	7019	804
0	8230	744

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 162

Calls

Call 1

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

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

Samples

2.9s	43 070×	0	valid
0.0ms	2×	2	valid

Compiler

Compiled 344 928 to 321 696 computations (6.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 966.0ms

ival-mult: 366.0ms (37.9% of total)

ival-div: 312.0ms (32.3% of total)

ival-add: 220.0ms (22.8% of total)

ival-true: 37.0ms (3.8% of total)

ival-assert: 18.0ms (1.9% of total)

exact: 13.0ms (1.3% of total)

adjust: 0.0ms (0% of total)

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

rewrite224.0ms (0.8%)

Memory

0.1MiB live, 317.4MiB allocated

Rules

5 294×	`lower-fma.f32`
5 292×	`lower-fma.f64`
3 800×	`lower-*.f32`
3 796×	`lower-*.f64`
1 822×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	37
0	18	37
1	73	35
2	466	35
3	5398	35
0	9107	35

Stop Event

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

Counts

6 → 253

Calls

Call 1

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

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

eval47.0ms (0.2%)

Memory: -10.8MiB live, 108.6MiB allocated
Compiler: Compiled 7 442 to 514 computations (93.1% saved)

prune51.0ms (0.2%)

Memory

6.9MiB live, 123.6MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	415	0	415
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	415	6	421

Accuracy

100.0%

Counts

421 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.5%	(fma.f64 (/.f64 x z) y x)
✓	84.5%	(/.f64 (*.f64 x (+.f64 y z)) z)
✓	38.1%	(/.f64 #s(approx (* x (+ y z)) (*.f64 x z)) z)
✓	49.3%	(/.f64 #s(approx (* x (+ y z)) (*.f64 x y)) z)
✓	49.3%	(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( x (+ y z)) (*.f64 x y)))
✓	95.4%	#s(approx (/ (* x (+ y z)) z) (fma.f64 x (/.f64 y z) x))

Compiler

Compiled 117 to 52 computations (55.6% saved)

regimes15.0ms (0.1%)

Memory

-9.9MiB live, 32.6MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	y
3.0ms	x
3.0ms	z
3.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
99.3%	2	`x`
97.5%	2	`y`
95.4%	1	`z`
95.4%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes6.0ms (0%)

Memory

15.8MiB live, 15.8MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
95.4%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`
95.4%	1	`y`
95.4%	1	`x`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes8.0ms (0%)

Memory

-20.5MiB live, 18.7MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
52.7%	3	`x`
69.4%	3	`y`
67.1%	3	`z`
70.3%	3	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes6.0ms (0%)

Memory

15.0MiB live, 15.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
49.3%	1	`x`
49.3%	1	`z`
49.3%	1	`y`
49.3%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch9.0ms (0%)

Memory

-21.9MiB live, 17.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.6085690416607987e-132	3.268178243969116e-131

Samples

4.0ms

96×

valid

Compiler

Compiled 139 to 84 computations (39.6% saved)

Precisions

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

ival-div: 1.0ms (48.8% of total)

ival-add: 1.0ms (48.8% of total)

ival-mult: 1.0ms (48.8% of total)

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

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

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.42447990981094e+147	1.1614612001870323e+157
0.0ms	-5.54854631368849e-298	0.0

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify193.0ms (0.7%)

Memory

38.9MiB live, 395.2MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	102
1	33	102

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 4395421958844917/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264 binary64)) (fma.f64 (/.f64 x z) y x) #s(approx (/ (* x (+ y z)) z) (fma.f64 x (/.f64 y z) x)))
#s(approx (/ (* x (+ y z)) z) (fma.f64 x (/.f64 y z) x))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -5890680864316837/11781361728633673532894774498354952494238773929196300355071513798753168641589311119865182769801300280680127783231251635087526446289021607771691249214388576215221396663491984443067742263787264024212477244347842938066577043117995647400274369612403653814737339068225047641453182709824206687753689912418253153056587776 binary64)) (/.f64 #s(approx ( x (+ y z)) (.f64 x y)) z) (if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal 10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984 binary64)) (/.f64 #s(approx (* x (+ y z)) (.f64 x z)) z) (/.f64 #s(approx ( x (+ y z)) (*.f64 x y)) z)))
(/.f64 #s(approx (* x (+ y z)) (*.f64 x y)) z)

Outputs
(if (<=.f64 x #s(literal 4395421958844917/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264 binary64)) (fma.f64 (/.f64 x z) y x) #s(approx (/ (* x (+ y z)) z) (fma.f64 x (/.f64 y z) x)))
#s(approx (/ (* x (+ y z)) z) (fma.f64 x (/.f64 y z) x))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -5890680864316837/11781361728633673532894774498354952494238773929196300355071513798753168641589311119865182769801300280680127783231251635087526446289021607771691249214388576215221396663491984443067742263787264024212477244347842938066577043117995647400274369612403653814737339068225047641453182709824206687753689912418253153056587776 binary64)) (/.f64 #s(approx ( x (+ y z)) (.f64 x y)) z) (if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal 10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984 binary64)) (/.f64 #s(approx (* x (+ y z)) (.f64 x z)) z) (/.f64 #s(approx ( x (+ y z)) (*.f64 x y)) z)))
(if (<=.f64 (/.f64 (.f64 x (+.f64 z y)) z) #s(literal -5890680864316837/11781361728633673532894774498354952494238773929196300355071513798753168641589311119865182769801300280680127783231251635087526446289021607771691249214388576215221396663491984443067742263787264024212477244347842938066577043117995647400274369612403653814737339068225047641453182709824206687753689912418253153056587776 binary64)) (/.f64 #s(approx ( x (+ y z)) (.f64 x y)) z) (if (<=.f64 (/.f64 (.f64 x (+.f64 z y)) z) #s(literal 10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984 binary64)) (/.f64 #s(approx (* x (+ y z)) (.f64 x z)) z) (/.f64 #s(approx ( x (+ y z)) (*.f64 x y)) z)))
(/.f64 #s(approx (* x (+ y z)) (*.f64 x y)) z)

Samples

75.0ms

1 040×

valid

Compiler

Compiled 19 256 to 12 307 computations (36.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-div: 13.0ms (31.3% of total)

ival-mult: 12.0ms (28.9% of total)

ival-add: 7.0ms (16.9% of total)

ival-if: 5.0ms (12% of total)

ival-<=: 2.0ms (4.8% of total)

ival-true: 1.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

soundness1.1s (4.2%)

Memory

-31.3MiB live, 451.5MiB allocated

Rules

13 604×	`lower-fma.f64`
13 604×	`lower-fma.f32`
7 364×	`lower-fma.f32`
7 362×	`lower-fma.f64`
4 454×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	40	15
2	284	15
3	2778	15
0	9742	15
0	22	99
0	36	95
1	119	95
2	742	94
3	7413	94
0	8194	94
0	50	456
1	181	456
2	576	456
3	1659	456
4	3172	456
5	4896	456
6	5274	456
7	5697	456
8	6368	456
9	6822	456
0	8302	426

Stop Event

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

Compiler

Compiled 139 to 61 computations (56.1% saved)

preprocess111.0ms (0.4%)

Memory: -1.2MiB live, 234.0MiB allocated
Compiler: Compiled 222 to 90 computations (59.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze36.0ms (0.1%)

sample606.0ms (2.3%)

explain60.0ms (0.2%)

preprocess162.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify238.0ms (0.9%)

localize20.0ms (0.1%)

series9.0ms (0%)

simplify2.6s (9.9%)

rewrite196.0ms (0.7%)

eval81.0ms (0.3%)

prune120.0ms (0.5%)

simplify781.0ms (2.9%)

localize65.0ms (0.2%)

series21.0ms (0.1%)

simplify12.8s (48.1%)

rewrite288.0ms (1.1%)

eval198.0ms (0.7%)

prune180.0ms (0.7%)

simplify319.0ms (1.2%)

localize34.0ms (0.1%)

series5.0ms (0%)

simplify6.0s (22.5%)

rewrite224.0ms (0.8%)

eval47.0ms (0.2%)

prune51.0ms (0.2%)

regimes15.0ms (0.1%)

regimes6.0ms (0%)

regimes8.0ms (0%)

regimes6.0ms (0%)

bsearch9.0ms (0%)

bsearch0.0ms (0%)

simplify193.0ms (0.7%)

soundness1.1s (4.2%)

preprocess111.0ms (0.4%)

end0.0ms (0%)

Profiling